%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : COM001-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Fri Jul 15 01:33:12 EDT 2022 % Result : Unsatisfiable 1.37s 1.47s % Output : Proof 1.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : COM001-1 : TPTP v8.1.0. Released v1.0.0. % 0.08/0.15 % Command : moca.sh %s % 0.15/0.36 % Computer : n011.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Thu Jun 16 16:56:06 EDT 2022 % 0.15/0.36 % CPUTime : % 1.37/1.47 % SZS status Unsatisfiable % 1.37/1.47 % SZS output start Proof % 1.37/1.47 The input problem is unsatisfiable because % 1.37/1.47 % 1.37/1.47 [1] the following set of Horn clauses is unsatisfiable: % 1.37/1.47 % 1.37/1.47 follows(Goal_state, Start_state) ==> succeeds(Goal_state, Start_state) % 1.37/1.47 succeeds(Goal_state, Intermediate_state) & succeeds(Intermediate_state, Start_state) ==> succeeds(Goal_state, Start_state) % 1.37/1.47 has(Start_state, goto(Label)) & labels(Label, Goal_state) ==> succeeds(Goal_state, Start_state) % 1.37/1.47 has(Start_state, ifthen(Condition, Goal_state)) ==> succeeds(Goal_state, Start_state) % 1.37/1.47 labels(loop, p3) % 1.37/1.47 has(p3, ifthen(equal_function(register_j, n), p4)) % 1.37/1.47 has(p4, goto(out)) % 1.37/1.47 follows(p5, p4) % 1.37/1.47 follows(p8, p3) % 1.37/1.47 has(p8, goto(loop)) % 1.37/1.47 succeeds(p3, p3) ==> \bottom % 1.37/1.47 % 1.37/1.47 This holds because % 1.37/1.47 % 1.37/1.47 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 1.37/1.47 % 1.37/1.47 E: % 1.37/1.47 f1(follows(Goal_state, Start_state), Goal_state, Start_state) = true__ % 1.37/1.47 f1(true__, Goal_state, Start_state) = succeeds(Goal_state, Start_state) % 1.37/1.47 f2(true__, Goal_state, Start_state) = succeeds(Goal_state, Start_state) % 1.37/1.47 f3(succeeds(Intermediate_state, Start_state), Goal_state, Intermediate_state, Start_state) = true__ % 1.37/1.47 f3(true__, Goal_state, Intermediate_state, Start_state) = f2(succeeds(Goal_state, Intermediate_state), Goal_state, Start_state) % 1.37/1.47 f4(true__, Goal_state, Start_state) = succeeds(Goal_state, Start_state) % 1.37/1.47 f5(labels(Label, Goal_state), Start_state, Label, Goal_state) = true__ % 1.37/1.47 f5(true__, Start_state, Label, Goal_state) = f4(has(Start_state, goto(Label)), Goal_state, Start_state) % 1.37/1.47 f6(has(Start_state, ifthen(Condition, Goal_state)), Goal_state, Start_state) = true__ % 1.37/1.47 f6(true__, Goal_state, Start_state) = succeeds(Goal_state, Start_state) % 1.37/1.47 f7(succeeds(p3, p3)) = true__ % 1.37/1.47 f7(true__) = false__ % 1.37/1.47 follows(p5, p4) = true__ % 1.37/1.47 follows(p8, p3) = true__ % 1.37/1.47 has(p3, ifthen(equal_function(register_j, n), p4)) = true__ % 1.37/1.47 has(p4, goto(out)) = true__ % 1.37/1.47 has(p8, goto(loop)) = true__ % 1.37/1.47 labels(loop, p3) = true__ % 1.37/1.47 G: % 1.37/1.47 true__ = false__ % 1.37/1.47 % 1.37/1.47 This holds because % 1.37/1.47 % 1.37/1.47 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 1.37/1.47 % 1.37/1.47 f1(true__, Y2, p4) = f5(true__, p4, out, Y2) % 1.37/1.47 f1(follows(Goal_state, Start_state), Goal_state, Start_state) -> true__ % 1.37/1.47 f1(true__, Y2, p8) -> f5(true__, p8, loop, Y2) % 1.37/1.47 f1(true__, p3, p3) -> true__ % 1.37/1.47 f1(true__, p4, p3) -> true__ % 1.37/1.47 f1(true__, p5, p3) -> true__ % 1.37/1.47 f1(true__, p5, p4) -> true__ % 1.37/1.47 f1(true__, p8, p3) -> true__ % 1.37/1.47 f2(f1(true__, Y1, p3), Y1, p8) -> true__ % 1.37/1.47 f2(f1(true__, Y2, p3), Y2, p3) -> true__ % 1.37/1.47 f2(f1(true__, Y2, p4), Y2, p3) -> true__ % 1.37/1.47 f2(f1(true__, Y2, p5), Y2, p4) -> true__ % 1.37/1.47 f2(f5(true__, p4, out, Y0), Y0, p3) -> true__ % 1.37/1.47 f2(f5(true__, p8, loop, Y2), Y2, p3) -> true__ % 1.37/1.47 f2(true__, Goal_state, Start_state) -> succeeds(Goal_state, Start_state) % 1.37/1.47 f3(f1(true__, Y0, Y1), Y2, Y0, Y1) -> true__ % 1.37/1.47 f3(f5(true__, p4, out, Y0), Y2, Y0, p4) -> true__ % 1.37/1.47 f3(f5(true__, p8, loop, Y0), Y2, Y0, p8) -> true__ % 1.37/1.47 f3(succeeds(Intermediate_state, Start_state), Goal_state, Intermediate_state, Start_state) -> true__ % 1.37/1.47 f3(true__, Goal_state, Intermediate_state, Start_state) -> f2(succeeds(Goal_state, Intermediate_state), Goal_state, Start_state) % 1.37/1.47 f4(has(Start_state, goto(Label)), Goal_state, Start_state) -> f5(true__, Start_state, Label, Goal_state) % 1.37/1.47 f4(true__, Goal_state, Start_state) -> succeeds(Goal_state, Start_state) % 1.37/1.47 f5(labels(Label, Goal_state), Start_state, Label, Goal_state) -> true__ % 1.37/1.47 f5(true__, Y2, loop, p3) -> true__ % 1.37/1.47 f5(true__, p4, out, p5) -> true__ % 1.37/1.47 f5(true__, p8, loop, p4) -> true__ % 1.37/1.47 f5(true__, p8, loop, p8) -> true__ % 1.37/1.47 f6(has(Start_state, ifthen(Condition, Goal_state)), Goal_state, Start_state) -> true__ % 1.37/1.47 f6(true__, Goal_state, Start_state) -> succeeds(Goal_state, Start_state) % 1.37/1.47 f7(f1(true__, p3, p3)) -> true__ % 1.37/1.47 f7(succeeds(p3, p3)) -> true__ % 1.37/1.47 f7(true__) -> false__ % 1.37/1.47 false__ -> true__ % 1.37/1.47 follows(p5, p4) -> true__ % 1.37/1.47 follows(p8, p3) -> true__ % 1.37/1.47 has(p3, ifthen(equal_function(register_j, n), p4)) -> true__ % 1.37/1.47 has(p4, goto(out)) -> true__ % 1.37/1.47 has(p8, goto(loop)) -> true__ % 1.37/1.47 labels(loop, p3) -> true__ % 1.37/1.47 succeeds(Goal_state, Start_state) -> f1(true__, Goal_state, Start_state) % 1.37/1.47 with the LPO induced by % 1.37/1.47 f7 > p8 > p5 > out > p4 > n > register_j > equal_function > p3 > loop > ifthen > has > follows > f4 > f6 > f3 > f2 > succeeds > f1 > f5 > labels > goto > false__ > true__ % 1.37/1.47 % 1.37/1.47 % SZS output end Proof % 1.37/1.47 %------------------------------------------------------------------------------