/export/starexec/sandbox2/solver/bin/starexec_run_c /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.c # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given C Problem could be disproven: (0) C Problem (1) CToLLVMProof [EQUIVALENT, 81 ms] (2) LLVM problem (3) LLVMToTerminationGraphProof [EQUIVALENT, 938 ms] (4) LLVM Symbolic Execution Graph (5) SEGraph to IRS [EQUIVALENT, 49 ms] (6) IntTRS (7) IRS2T2 [EQUIVALENT, 0 ms] (8) T2IntSys (9) T2 [COMPLETE, 1339 ms] (10) NO ---------------------------------------- (0) Obligation: c file /export/starexec/sandbox2/benchmark/theBenchmark.c ---------------------------------------- (1) CToLLVMProof (EQUIVALENT) Compiled c-file /export/starexec/sandbox2/benchmark/theBenchmark.c to LLVM. ---------------------------------------- (2) Obligation: LLVM Problem Aliases: Data layout: "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" Machine: "x86_64-pc-linux-gnu" Type definitions: Global variables: Function declarations and definitions: *BasicFunctionTypename: "__VERIFIER_nondet_int" returnParam: i32 parameters: () variableLength: true visibilityType: DEFAULT callingConvention: ccc *BasicFunctionTypename: "main" linkageType: EXTERNALLY_VISIBLE returnParam: i32 parameters: () variableLength: false visibilityType: DEFAULT callingConvention: ccc 0: %1 = alloca i32, align 4 %x = alloca i32, align 4 %y = alloca i32, align 4 store 0, %1 %2 = call i32 (...)* @__VERIFIER_nondet_int() store %2, %x %3 = call i32 (...)* @__VERIFIER_nondet_int() store %3, %y br %4 4: %5 = load %x %6 = icmp slt %5 10 br %6, %7, %12 7: %8 = load %y %9 = sub 0 %8 store %9, %x %10 = load %y %11 = add %10 1 store %11, %y br %4 12: ret 0 Analyze Termination of all function calls matching the pattern: main() ---------------------------------------- (3) LLVMToTerminationGraphProof (EQUIVALENT) Constructed symbolic execution graph for LLVM program and proved memory safety. ---------------------------------------- (4) Obligation: SE Graph ---------------------------------------- (5) SEGraph to IRS (EQUIVALENT) Transformed LLVM symbolic execution graph SCC into a rewrite problem. Log: Generated rules. Obtained 40 rulesP rules: f_63 -> f_64(v1, v2, 3, 1, 4) :|: 1 <= v1 && v2 = 3 + v1 && 4 <= v2 f_64(v1, v2, 3, 1, 4) -> f_65(v1, v3, v2, v4, 3, 1, 4) :|: 1 <= v3 && v4 = 3 + v3 && 4 <= v4 f_65(v1, v3, v2, v4, 3, 1, 4) -> f_66(v1, v3, v5, v2, v4, v6, 3, 1, 4) :|: 1 <= v5 && v6 = 3 + v5 && 4 <= v6 f_66(v1, v3, v5, v2, v4, v6, 3, 1, 4) -> f_67(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_67(v1, v3, v5, v2, v4, v6, 0, 3, 1, 4) -> f_68(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_68(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_69(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_69(v1, v3, v5, v7, v2, v4, v6, 0, 3, 1, 4) -> f_70(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_70(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_71(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_71(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_72(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: TRUE f_72(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_73(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) :|: 0 = 0 f_73(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_74(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4, 9) :|: v7 < 10 f_73(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4) -> f_75(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4, 10) :|: 10 <= v7 f_74(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4, 9) -> f_76(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4, 9) :|: 0 = 0 f_75(v1, v3, v5, v7, v9, v2, v4, v6, 0, 3, 1, 4, 10) -> f_77(v1, v3, v5, v7, v9, 0, v2, v4, v6, 3, 1, 4, 10) :|: 0 = 0 f_76(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4, 9) -> f_78(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4, 9) :|: TRUE f_77(v1, v3, v5, v7, v9, 0, v2, v4, v6, 3, 1, 4, 10) -> f_79(v1, v3, v5, v7, v9, 0, v2, v4, v6, 3, 1, 4, 10) :|: TRUE f_78(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4, 9) -> f_80(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4, 9) :|: 0 = 0 f_80(v1, v3, v5, v7, v9, 1, v2, v4, v6, 0, 3, 4, 9) -> f_81(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4, 9) :|: v11 + v9 = 0 f_81(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4, 9) -> f_82(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4, 9) :|: TRUE f_82(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4, 9) -> f_83(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4, 9) :|: 0 = 0 f_83(v1, v3, v5, v7, v9, 1, v11, v2, v4, v6, 0, 3, 4, 9) -> f_84(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4, 9) :|: v13 = 1 + v9 f_84(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4, 9) -> f_85(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4, 9) :|: TRUE f_85(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4, 9) -> f_86(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4, 9) :|: TRUE f_86(v1, v3, v5, v7, v9, 1, v11, v13, v2, v4, v6, 0, 3, 4, 9) -> f_101(v1, v3, v5, v7, v9, v7, 1, v9, v11, v13, v2, v4, v6, 0, 3, 9, 4) :|: TRUE f_101(v19, v20, v21, v22, v23, v24, 1, v26, v27, v28, v29, v30, v31, 0, 3, 9, 4) -> f_116(v19, v20, v21, v22, v23, v24, 1, v26, v27, v28, v29, v30, v31, 0, 3, 9, 4) :|: TRUE f_116(v37, v38, v39, v40, v41, v42, 1, v44, v45, v46, v47, v48, v49, 0, 3, 9, 4) -> f_117(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 9, 4) :|: 0 = 0 f_117(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 9, 4) -> f_118(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 9, 8, 4) :|: v45 < 10 && 0 <= 9 + v44 && 0 <= 8 + v46 f_117(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 9, 4) -> f_119(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 9, 10, 4) :|: 10 <= v45 && 10 + v44 <= 0 && 9 + v46 <= 0 && 10 + v41 <= 0 f_118(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 9, 8, 4) -> f_120(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 9, 8, 4) :|: 0 = 0 f_119(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 9, 10, 4) -> f_121(v37, v38, v39, v40, v41, v45, 0, v44, v46, v47, v48, v49, 3, 1, 9, 10, 4) :|: 0 = 0 f_120(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 9, 8, 4) -> f_122(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 9, 8, 4) :|: TRUE f_121(v37, v38, v39, v40, v41, v45, 0, v44, v46, v47, v48, v49, 3, 1, 9, 10, 4) -> f_123(v37, v38, v39, v40, v41, v45, 0, v44, v46, v47, v48, v49, 3, 1, 9, 10, 4) :|: TRUE f_122(v37, v38, v39, v40, v41, v45, 1, v44, v46, v47, v48, v49, 0, 3, 9, 8, 4) -> f_124(v37, v38, v39, v40, v41, v45, 1, v46, v44, v47, v48, v49, 0, 3, 9, 8, 4) :|: 0 = 0 f_124(v37, v38, v39, v40, v41, v45, 1, v46, v44, v47, v48, v49, 0, 3, 9, 8, 4) -> f_125(v37, v38, v39, v40, v41, v45, 1, v46, v51, v44, v47, v48, v49, 0, 3, 9, 8, 4) :|: v51 + v46 = 0 && v51 <= 8 f_125(v37, v38, v39, v40, v41, v45, 1, v46, v51, v44, v47, v48, v49, 0, 3, 9, 8, 4) -> f_126(v37, v38, v39, v40, v41, v45, 1, v46, v51, v44, v47, v48, v49, 0, 3, 9, 8, 4) :|: TRUE f_126(v37, v38, v39, v40, v41, v45, 1, v46, v51, v44, v47, v48, v49, 0, 3, 9, 8, 4) -> f_127(v37, v38, v39, v40, v41, v45, 1, v46, v51, v47, v48, v49, 0, 3, 9, 8, 4) :|: 0 = 0 f_127(v37, v38, v39, v40, v41, v45, 1, v46, v51, v47, v48, v49, 0, 3, 9, 8, 4) -> f_128(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 9, 8, 4, 7) :|: v53 = 1 + v46 && 0 <= 7 + v53 f_128(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 9, 8, 4, 7) -> f_129(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 9, 8, 4, 7) :|: TRUE f_129(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 9, 8, 4, 7) -> f_130(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 9, 8, 4, 7) :|: TRUE f_130(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 9, 8, 4, 7) -> f_116(v37, v38, v39, v40, v41, v45, 1, v46, v51, v53, v47, v48, v49, 0, 3, 9, 4) :|: TRUE Combined rules. Obtained 4 rulesP rules: f_63 -> f_117(v1:0, v3:0, v5:0, v7:0, v9:0, v11:0, 1, v9:0, 1 + v9:0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 0, 3, 9, 4) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v11:0 + v9:0 = 0 && v7:0 < 10 f_117(v37:0, v38:0, v39:0, v40:0, v41:0, v45:0, 1, v44:0, v46:0, v47:0, v48:0, v49:0, 0, 3, 9, 4) -> f_117(v37:0, v38:0, v39:0, v40:0, v41:0, v51:0, 1, v46:0, 1 + v46:0, v47:0, v48:0, v49:0, 0, 3, 9, 4) :|: v44:0 > -10 && v45:0 < 10 && v46:0 > -9 && v51:0 < 9 && v51:0 + v46:0 = 0 f_63 -> f_79(v1:0, v3:0, v5:0, v7:0, v9:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 1, 4, 10) :|: v3:0 > 0 && v1:0 > 0 && v5:0 > 0 && v7:0 > 9 f_117(v37:0, v38:0, v39:0, v40:0, v41:0, v45:0, 1, v44:0, v46:0, v47:0, v48:0, v49:0, 0, 3, 9, 4) -> f_123(v37:0, v38:0, v39:0, v40:0, v41:0, v45:0, 0, v44:0, v46:0, v47:0, v48:0, v49:0, 3, 1, 9, 10, 4) :|: v44:0 < -9 && v45:0 > 9 && v41:0 < -9 && v46:0 < -8 Filtered unneeded arguments: f_117(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16) -> f_117(x5, x6, x8, x9) Removed division, modulo operations, cleaned up constraints. Obtained 4 rules.P rules: f_63 -> f_117(v9:0, v11:0, v9:0, 1 + v9:0) :|: v11:0 + v9:0 = 0 f_117(v41:0, v45:0, v44:0, v46:0) -> f_117(v41:0, v51:0, v46:0, 1 + v46:0) :|: v45:0 < 10 && v44:0 > -10 && v46:0 > -9 && v51:0 + v46:0 = 0 && v51:0 < 9 f_63 -> f_79(v1:0, v3:0, v5:0, v7:0, v9:0, 0, 3 + v1:0, 3 + v3:0, 3 + v5:0, 3, 1, 4, 10) :|: v1:0 > 0 && v3:0 > 0 && v7:0 > 9 && v5:0 > 0 f_117(v41:0, v45:0, v44:0, v46:0) -> f_123(v37:0, v38:0, v39:0, v40:0, v41:0, v45:0, 0, v44:0, v46:0, v47:0, v48:0, v49:0, 3, 1, 9, 10, 4) :|: v45:0 > 9 && v44:0 < -9 && v46:0 < -8 && v41:0 < -9 ---------------------------------------- (6) Obligation: Rules: f_63 -> f_117(v9:0, v11:0, v9:0, 1 + v9:0) :|: v11:0 + v9:0 = 0 f_117(v41:0, v45:0, v44:0, v46:0) -> f_117(v41:0, v51:0, v46:0, 1 + v46:0) :|: v45:0 < 10 && v44:0 > -10 && v46:0 > -9 && v51:0 + v46:0 = 0 && v51:0 < 9 f_63 -> f_79(x, x1, x2, x3, x4, 0, 3 + x, 3 + x1, 3 + x2, 3, 1, 4, 10) :|: x > 0 && x1 > 0 && x3 > 9 && x2 > 0 f_117(x5, x6, x7, x8) -> f_123(x9, x10, x11, x12, x5, x6, 0, x7, x8, x13, x14, x15, 3, 1, 9, 10, 4) :|: x6 > 9 && x7 < -9 && x8 < -8 && x5 < -9 Start term: f_63 ---------------------------------------- (7) IRS2T2 (EQUIVALENT) Transformed input IRS into an integer transition system.Used the following mapping from defined symbols to location IDs: (f_63_17,1) (f_117_17,2) (f_79_17,3) (f_123_17,4) ---------------------------------------- (8) Obligation: START: 1; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := x15; oldX16 := x16; oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); oldX24 := nondet(); oldX25 := nondet(); oldX26 := nondet(); oldX27 := nondet(); oldX28 := nondet(); oldX29 := nondet(); oldX30 := nondet(); oldX31 := nondet(); assume(oldX18 + oldX17 = 0); x0 := oldX17; x1 := oldX18; x2 := oldX17; x3 := 1 + oldX17; x4 := oldX19; x5 := oldX20; x6 := oldX21; x7 := oldX22; x8 := oldX23; x9 := oldX24; x10 := oldX25; x11 := oldX26; x12 := oldX27; x13 := oldX28; x14 := oldX29; x15 := oldX30; x16 := oldX31; TO: 2; FROM: 2; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := x15; oldX16 := x16; oldX17 := -(oldX3 - 0); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); oldX24 := nondet(); oldX25 := nondet(); oldX26 := nondet(); oldX27 := nondet(); oldX28 := nondet(); oldX29 := nondet(); oldX30 := nondet(); assume(oldX1 < 10 && oldX2 > -10 && oldX3 > -9 && oldX17 + oldX3 = 0 && oldX17 < 9); x0 := oldX0; x1 := -(oldX3 - 0); x2 := oldX3; x3 := 1 + oldX3; x4 := oldX18; x5 := oldX19; x6 := oldX20; x7 := oldX21; x8 := oldX22; x9 := oldX23; x10 := oldX24; x11 := oldX25; x12 := oldX26; x13 := oldX27; x14 := oldX28; x15 := oldX29; x16 := oldX30; TO: 2; FROM: 1; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := x15; oldX16 := x16; oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); oldX24 := nondet(); oldX25 := nondet(); assume(oldX17 > 0 && oldX18 > 0 && oldX20 > 9 && oldX19 > 0); x0 := oldX17; x1 := oldX18; x2 := oldX19; x3 := oldX20; x4 := oldX21; x5 := 0; x6 := 3 + oldX17; x7 := 3 + oldX18; x8 := 3 + oldX19; x9 := 3; x10 := 1; x11 := 4; x12 := 10; x13 := oldX22; x14 := oldX23; x15 := oldX24; x16 := oldX25; TO: 3; FROM: 2; oldX0 := x0; oldX1 := x1; oldX2 := x2; oldX3 := x3; oldX4 := x4; oldX5 := x5; oldX6 := x6; oldX7 := x7; oldX8 := x8; oldX9 := x9; oldX10 := x10; oldX11 := x11; oldX12 := x12; oldX13 := x13; oldX14 := x14; oldX15 := x15; oldX16 := x16; oldX17 := nondet(); oldX18 := nondet(); oldX19 := nondet(); oldX20 := nondet(); oldX21 := nondet(); oldX22 := nondet(); oldX23 := nondet(); assume(oldX1 > 9 && oldX2 < -9 && oldX3 < -8 && oldX0 < -9); x0 := oldX17; x1 := oldX18; x2 := oldX19; x3 := oldX20; x4 := oldX0; x5 := oldX1; x6 := 0; x7 := oldX2; x8 := oldX3; x9 := oldX21; x10 := oldX22; x11 := oldX23; x12 := 3; x13 := 1; x14 := 9; x15 := 10; x16 := 4; TO: 4; ---------------------------------------- (9) T2 (COMPLETE) Found this recurrent set for cutpoint 7: oldX17+oldX18 <= 0 and 0 <= oldX17+oldX18 and oldX17+x1 <= 0 and oldX17-x2 <= 0 and oldX17-x3 <= -1 and x1-oldX18 <= 0 and 0 <= oldX18+x2 and 1 <= oldX18+x3 and x1+x2 <= 0 and 0 <= x1+x2 and x1+x3 <= 1 and 1 <= x1+x3 and x2-x3 <= -1 and x3-x2 <= 1 and x1+-9 <= 0 and -x2+-9 <= 0 and -x3+-8 <= 0 ---------------------------------------- (10) NO