18.10/5.99 YES 18.10/6.00 proof of /export/starexec/sandbox/benchmark/theBenchmark.c 18.10/6.00 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 18.10/6.00 18.10/6.00 18.10/6.00 Termination of the given C Problem could be proven: 18.10/6.00 18.10/6.00 (0) C Problem 18.10/6.00 (1) CToLLVMProof [EQUIVALENT, 170 ms] 18.10/6.00 (2) LLVM problem 18.10/6.00 (3) LLVMToTerminationGraphProof [EQUIVALENT, 2305 ms] 18.10/6.00 (4) LLVM Symbolic Execution Graph 18.10/6.00 (5) SymbolicExecutionGraphToSCCProof [SOUND, 0 ms] 18.10/6.00 (6) LLVM Symbolic Execution SCC 18.10/6.00 (7) SCC2IRS [SOUND, 111 ms] 18.10/6.00 (8) IntTRS 18.10/6.00 (9) IntTRSCompressionProof [EQUIVALENT, 0 ms] 18.10/6.00 (10) IntTRS 18.10/6.00 (11) RankingReductionPairProof [EQUIVALENT, 40 ms] 18.10/6.00 (12) YES 18.10/6.00 18.10/6.00 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (0) 18.10/6.00 Obligation: 18.10/6.00 c file /export/starexec/sandbox/benchmark/theBenchmark.c 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (1) CToLLVMProof (EQUIVALENT) 18.10/6.00 Compiled c-file /export/starexec/sandbox/benchmark/theBenchmark.c to LLVM. 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (2) 18.10/6.00 Obligation: 18.10/6.00 LLVM Problem 18.10/6.00 18.10/6.00 Aliases: 18.10/6.00 18.10/6.00 Data layout: 18.10/6.00 18.10/6.00 "e-p:64:64:64-i1:8:8-i8:8:8-i16:16:16-i32:32:32-i64:64:64-f32:32:32-f64:64:64-v64:64:64-v128:128:128-a0:0:64-s0:64:64-f80:128:128-n8:16:32:64-S128" 18.10/6.00 18.10/6.00 Machine: 18.10/6.00 18.10/6.00 "x86_64-pc-linux-gnu" 18.10/6.00 18.10/6.00 Type definitions: 18.10/6.00 18.10/6.00 Global variables: 18.10/6.00 18.10/6.00 Function declarations and definitions: 18.10/6.00 18.10/6.00 *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 18.10/6.00 *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 18.10/6.00 0: 18.10/6.00 %1 = alloca i32, align 4 18.10/6.00 %n = alloca i32, align 4 18.10/6.00 %m = alloca i32, align 4 18.10/6.00 %v1 = alloca i32, align 4 18.10/6.00 %v2 = alloca i32, align 4 18.10/6.00 store 0, %1 18.10/6.00 %2 = call i32 @__VERIFIER_nondet_int() 18.10/6.00 store %2, %n 18.10/6.00 %3 = call i32 @__VERIFIER_nondet_int() 18.10/6.00 store %3, %m 18.10/6.00 %4 = load %n 18.10/6.00 %5 = icmp sge %4 0 18.10/6.00 br %5, %6, %26 18.10/6.00 6: 18.10/6.00 %7 = load %m 18.10/6.00 %8 = icmp sgt %7 0 18.10/6.00 br %8, %9, %26 18.10/6.00 9: 18.10/6.00 %10 = load %n 18.10/6.00 store %10, %v1 18.10/6.00 store 0, %v2 18.10/6.00 br %11 18.10/6.00 11: 18.10/6.00 %12 = load %v1 18.10/6.00 %13 = icmp sgt %12 0 18.10/6.00 br %13, %14, %25 18.10/6.00 14: 18.10/6.00 %15 = load %v2 18.10/6.00 %16 = load %m 18.10/6.00 %17 = icmp slt %15 %16 18.10/6.00 br %17, %18, %23 18.10/6.00 18: 18.10/6.00 %19 = load %v2 18.10/6.00 %20 = add %19 1 18.10/6.00 store %20, %v2 18.10/6.00 %21 = load %v1 18.10/6.00 %22 = add %21 -1 18.10/6.00 store %22, %v1 18.10/6.00 br %24 18.10/6.00 23: 18.10/6.00 store 0, %v2 18.10/6.00 br %24 18.10/6.00 24: 18.10/6.00 br %11 18.10/6.00 25: 18.10/6.00 br %26 18.10/6.00 26: 18.10/6.00 ret 0 18.10/6.00 18.10/6.00 18.10/6.00 Analyze Termination of all function calls matching the pattern: 18.10/6.00 main() 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (3) LLVMToTerminationGraphProof (EQUIVALENT) 18.10/6.00 Constructed symbolic execution graph for LLVM program and proved memory safety. 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (4) 18.10/6.00 Obligation: 18.10/6.00 SE Graph 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (5) SymbolicExecutionGraphToSCCProof (SOUND) 18.10/6.00 Splitted symbolic execution graph to 1 SCC. 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (6) 18.10/6.00 Obligation: 18.10/6.00 SCC 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (7) SCC2IRS (SOUND) 18.10/6.00 Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: 18.10/6.00 Generated rules. Obtained 33 rulesP rules: 18.10/6.00 f_329(v346, v347, v348, v349, v350, v351, v352, 1, v357, v355, v356, v354, v358, v359, v360, v361, v362, 0, 3, 4) -> f_330(v346, v347, v348, v349, v350, v351, v352, 1, v357, v355, v356, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 < v357 && 2 <= v354 && 2 <= v351 18.10/6.00 f_330(v346, v347, v348, v349, v350, v351, v352, 1, v357, v355, v356, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_332(v346, v347, v348, v349, v350, v351, v352, 1, v357, v355, v356, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0 18.10/6.00 f_332(v346, v347, v348, v349, v350, v351, v352, 1, v357, v355, v356, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_334(v346, v347, v348, v349, v350, v351, v352, 1, v357, v355, v356, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: TRUE 18.10/6.00 f_334(v346, v347, v348, v349, v350, v351, v352, 1, v357, v355, v356, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_336(v346, v347, v348, v349, v350, v351, v352, 1, v357, v356, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0 18.10/6.00 f_336(v346, v347, v348, v349, v350, v351, v352, 1, v357, v356, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_338(v346, v347, v348, v349, v350, v351, v352, 1, v357, v356, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0 18.10/6.00 f_338(v346, v347, v348, v349, v350, v351, v352, 1, v357, v356, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_339(v346, v347, v348, v349, v350, v351, v352, 1, v357, v356, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: v356 < v352 && 2 <= v352 18.10/6.00 f_338(v346, v347, v348, v349, v350, v351, v352, 1, v357, v356, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_340(v346, v347, v348, v349, v350, v351, v356, 1, v357, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: v352 <= v356 && v352 = v356 18.10/6.00 f_339(v346, v347, v348, v349, v350, v351, v352, 1, v357, v356, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_341(v346, v347, v348, v349, v350, v351, v352, 1, v357, v356, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: 0 = 0 18.10/6.00 f_341(v346, v347, v348, v349, v350, v351, v352, 1, v357, v356, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_343(v346, v347, v348, v349, v350, v351, v352, 1, v357, v356, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: TRUE 18.10/6.00 f_343(v346, v347, v348, v349, v350, v351, v352, 1, v357, v356, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_363(v346, v347, v348, v349, v350, v351, v352, 1, v357, v356, v355, v356, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: TRUE 18.10/6.00 f_363(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v457, v458, v459, v460, v461, v462, v463, v464, 0, 3, 2, 4) -> f_364(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v458, v459, v460, v461, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0 18.10/6.00 f_364(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v458, v459, v460, v461, v462, v463, v464, 0, 3, 2, 4) -> f_365(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v459, v460, v461, v462, v463, v464, 0, 3, 2, 4) :|: v466 = 1 + v456 && 1 <= v466 18.10/6.00 f_365(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v459, v460, v461, v462, v463, v464, 0, 3, 2, 4) -> f_366(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v459, v460, v461, v462, v463, v464, 0, 3, 2, 4) :|: TRUE 18.10/6.00 f_366(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v459, v460, v461, v462, v463, v464, 0, 3, 2, 4) -> f_367(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v460, v461, v462, v463, v464, 0, 3, 2, 4) :|: 0 = 0 18.10/6.00 f_367(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v460, v461, v462, v463, v464, 0, 3, 2, 4) -> f_368(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v468, v460, v461, v462, v463, v464, 0, 3, 2, 4) :|: 1 + v468 = v455 && 0 <= v468 18.10/6.00 f_368(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v468, v460, v461, v462, v463, v464, 0, 3, 2, 4) -> f_369(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v468, v460, v461, v462, v463, v464, 0, 3, 2, 4) :|: TRUE 18.10/6.00 f_369(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v468, v460, v461, v462, v463, v464, 0, 3, 2, 4) -> f_370(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v468, v460, v461, v462, v463, v464, 0, 3, 2, 4) :|: TRUE 18.10/6.00 f_370(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v468, v460, v461, v462, v463, v464, 0, 3, 2, 4) -> f_371(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v468, v460, v461, v462, v463, v464, 0, 3, 2, 4) :|: TRUE 18.10/6.00 f_371(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v468, v460, v461, v462, v463, v464, 0, 3, 2, 4) -> f_328(v447, v448, v449, v450, v451, v452, v453, 1, v455, v456, v466, v468, v460, v461, v462, v463, v464, 0, 3, 4) :|: TRUE 18.10/6.00 f_328(v346, v347, v348, v349, v350, v351, v352, 1, v354, v355, v356, v357, v358, v359, v360, v361, v362, 0, 3, 4) -> f_329(v346, v347, v348, v349, v350, v351, v352, 1, v357, v355, v356, v354, v358, v359, v360, v361, v362, 0, 3, 4) :|: 0 = 0 18.10/6.00 f_340(v346, v347, v348, v349, v350, v351, v356, 1, v357, v355, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) -> f_342(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) :|: 0 = 0 18.10/6.00 f_342(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) -> f_344(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) :|: TRUE 18.10/6.00 f_344(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) -> f_346(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) :|: TRUE 18.10/6.00 f_346(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) -> f_348(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) :|: TRUE 18.10/6.00 f_348(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) -> f_350(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) :|: TRUE 18.10/6.00 f_350(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) -> f_352(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) :|: 0 = 0 18.10/6.00 f_352(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) -> f_354(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) :|: 0 = 0 18.10/6.00 f_354(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) -> f_356(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) :|: TRUE 18.10/6.00 f_356(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) -> f_358(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) :|: 0 = 0 18.10/6.00 f_358(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) -> f_360(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) :|: 0 = 0 18.10/6.00 f_360(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) -> f_361(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) :|: 0 = 0 18.10/6.00 f_361(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) -> f_362(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) :|: TRUE 18.10/6.00 f_362(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v354, v358, v359, v360, v361, v362, 3, 2, 4) -> f_363(v346, v347, v348, v349, v350, v351, v356, 1, v357, 0, v355, v356, v354, v358, v359, v360, v361, v362, 0, 3, 2, 4) :|: TRUE 18.10/6.00 Combined rules. Obtained 2 rulesP rules: 18.10/6.00 f_329(v346:0, v347:0, v348:0, v349:0, v350:0, v351:0, v352:0, 1, 1 + v468:0, v355:0, v352:0, v354:0, v358:0, v359:0, v360:0, v361:0, v362:0, 0, 3, 4) -> f_329(v346:0, v347:0, v348:0, v349:0, v350:0, v351:0, v352:0, 1, v468:0, 0, 1, 1 + v468:0, v358:0, v359:0, v360:0, v361:0, v362:0, 0, 3, 4) :|: v354:0 > 1 && v468:0 > -1 && v351:0 > 1 18.10/6.00 f_329(v346:0, v347:0, v348:0, v349:0, v350:0, v351:0, v352:0, 1, 1 + v468:0, v355:0, v356:0, v354:0, v358:0, v359:0, v360:0, v361:0, v362:0, 0, 3, 4) -> f_329(v346:0, v347:0, v348:0, v349:0, v350:0, v351:0, v352:0, 1, v468:0, v356:0, 1 + v356:0, 1 + v468:0, v358:0, v359:0, v360:0, v361:0, v362:0, 0, 3, 4) :|: v354:0 > 1 && v468:0 > -1 && v351:0 > 1 && v352:0 > 1 && v356:0 < v352:0 && v356:0 > -1 18.10/6.00 Filtered unneeded arguments: 18.10/6.00 f_329(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20) -> f_329(x6, x7, x9, x11, x12) 18.10/6.00 Removed division, modulo operations, cleaned up constraints. Obtained 2 rules.P rules: 18.10/6.00 f_329(v351:0, v352:0, sum~cons_1~v468:0, v352:01, v354:0) -> f_329(v351:0, v352:0, v468:0, 1, 1 + v468:0) :|: v468:0 > -1 && v351:0 > 1 && v354:0 > 1 && sum~cons_1~v468:0 = 1 + v468:0 && v352:0 = v352:01 18.10/6.00 f_329(v351:0, v352:0, sum~cons_1~v468:0, v356:0, v354:0) -> f_329(v351:0, v352:0, v468:0, 1 + v356:0, 1 + v468:0) :|: v468:0 > -1 && v354:0 > 1 && v351:0 > 1 && v352:0 > 1 && v356:0 > -1 && v356:0 < v352:0 && sum~cons_1~v468:0 = 1 + v468:0 18.10/6.00 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (8) 18.10/6.00 Obligation: 18.10/6.00 Rules: 18.10/6.00 f_329(v351:0, v352:0, sum~cons_1~v468:0, v352:01, v354:0) -> f_329(v351:0, v352:0, v468:0, 1, 1 + v468:0) :|: v468:0 > -1 && v351:0 > 1 && v354:0 > 1 && sum~cons_1~v468:0 = 1 + v468:0 && v352:0 = v352:01 18.10/6.00 f_329(x, x1, x2, x3, x4) -> f_329(x, x1, x5, 1 + x3, 1 + x5) :|: x5 > -1 && x4 > 1 && x > 1 && x1 > 1 && x3 > -1 && x3 < x1 && x2 = 1 + x5 18.10/6.00 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (9) IntTRSCompressionProof (EQUIVALENT) 18.10/6.00 Compressed rules. 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (10) 18.10/6.00 Obligation: 18.10/6.00 Rules: 18.10/6.00 f_329(v351:0:0, v352:01:0, sum~cons_1~v468:0:0, v352:01:01, v354:0:0) -> f_329(v351:0:0, v352:01:0, v468:0:0, 1, 1 + v468:0:0) :|: v468:0:0 > -1 && v351:0:0 > 1 && v354:0:0 > 1 && sum~cons_1~v468:0:0 = 1 + v468:0:0 && v352:01:0 = v352:01:01 18.10/6.00 f_329(x:0, x1:0, sum~cons_1~x5:0, x3:0, x4:0) -> f_329(x:0, x1:0, x5:0, 1 + x3:0, 1 + x5:0) :|: x3:0 > -1 && x3:0 < x1:0 && x1:0 > 1 && x:0 > 1 && x4:0 > 1 && x5:0 > -1 && sum~cons_1~x5:0 = 1 + x5:0 18.10/6.00 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (11) RankingReductionPairProof (EQUIVALENT) 18.10/6.00 Interpretation: 18.10/6.00 [ f_329 ] = f_329_3 18.10/6.00 18.10/6.00 The following rules are decreasing: 18.10/6.00 f_329(v351:0:0, v352:01:0, sum~cons_1~v468:0:0, v352:01:01, v354:0:0) -> f_329(v351:0:0, v352:01:0, v468:0:0, 1, 1 + v468:0:0) :|: v468:0:0 > -1 && v351:0:0 > 1 && v354:0:0 > 1 && sum~cons_1~v468:0:0 = 1 + v468:0:0 && v352:01:0 = v352:01:01 18.10/6.00 f_329(x:0, x1:0, sum~cons_1~x5:0, x3:0, x4:0) -> f_329(x:0, x1:0, x5:0, 1 + x3:0, 1 + x5:0) :|: x3:0 > -1 && x3:0 < x1:0 && x1:0 > 1 && x:0 > 1 && x4:0 > 1 && x5:0 > -1 && sum~cons_1~x5:0 = 1 + x5:0 18.10/6.00 18.10/6.00 The following rules are bounded: 18.10/6.00 f_329(v351:0:0, v352:01:0, sum~cons_1~v468:0:0, v352:01:01, v354:0:0) -> f_329(v351:0:0, v352:01:0, v468:0:0, 1, 1 + v468:0:0) :|: v468:0:0 > -1 && v351:0:0 > 1 && v354:0:0 > 1 && sum~cons_1~v468:0:0 = 1 + v468:0:0 && v352:01:0 = v352:01:01 18.10/6.00 f_329(x:0, x1:0, sum~cons_1~x5:0, x3:0, x4:0) -> f_329(x:0, x1:0, x5:0, 1 + x3:0, 1 + x5:0) :|: x3:0 > -1 && x3:0 < x1:0 && x1:0 > 1 && x:0 > 1 && x4:0 > 1 && x5:0 > -1 && sum~cons_1~x5:0 = 1 + x5:0 18.10/6.00 18.10/6.00 18.10/6.00 ---------------------------------------- 18.10/6.00 18.10/6.00 (12) 18.10/6.00 YES 18.44/6.05 EOF