%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM123+1 : TPTP v9.3.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Sun Sep 27 06:58:51 AM UTC 2026 % Result : Theorem 29.94s 8.26s % Output : CNFRefutation 29.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM123+1 : TPTP v9.3.1. Released v6.4.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/0.35 % Computer : n013.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 26 23:30:21 UTC 2026 % 0.09/0.35 % CPUTime : % 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 29.94/8.26 % SZS status Theorem for theBenchmark.p % 29.94/8.26 % SZS output start CNFRefutation for theBenchmark.p % 29.94/8.26 fof(T-Weak-FreeVar-abs-IH, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((~visFreeVar(X0,veabs) & vtcheck(X2,veabs,X3)) => vtcheck(vbind(X0,X1,X2),veabs,X3)))). % 29.94/8.26 fof(EQ-abs, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : (((vabs(X0,X1,X2) = vabs(X3,X4,X5) => (X0 = X3 & (X1 = X4 & X2 = X5))) & ((X0 = X3 & (X1 = X4 & X2 = X5)) => vabs(X0,X1,X2) = vabs(X3,X4,X5))))). % 29.94/8.26 fof(DIFF-abs-app, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : vabs(X0,X1,X2) != vapp(X3,X4)). % 29.94/8.26 fof(isValue0, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((X3 = vabs(X0,X1,X2) => visValue(X3)))). % 29.94/8.26 fof(isValue1, axiom, ! [X0] : ! [X1] : ((X1 = vvar(X0) => ~visValue(X1)))). % 29.94/8.26 fof(isFreeVar1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : (((X1 = X4 & X2 = vabs(X3,X0,X5)) => (((X3 != X4 & visFreeVar(X4,X5)) => visFreeVar(X1,X2)) & (visFreeVar(X1,X2) => (X3 != X4 & visFreeVar(X4,X5))))))). % 29.94/8.26 fof(T-Context-Swap, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : ! [X6] : (((X2 != X0 & vtcheck(vbind(X2,X3,vbind(X0,X1,X4)),X5,X6)) => vtcheck(vbind(X0,X1,vbind(X2,X3,X4)),X5,X6)))). % 29.94/8.26 fof(T-abs, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ((vtcheck(vbind(X1,X3,X0),X2,X4) => vtcheck(X0,vabs(X1,X3,X2),varrow(X3,X4))))). % 29.94/8.26 fof(T-inv, axiom, ! [X0] : ! [X1] : ! [X2] : ((vtcheck(X2,X0,X1) => (? [X3] : ((X0 = vvar(X3) & vlookup(X3,X2) = vsomeType(X1))) | (? [X3] : ? [X4] : ? [X5] : ? [X6] : ((X0 = vabs(X3,X5,X4) & (X1 = varrow(X5,X6) & vtcheck(vbind(X3,X5,X2),X4,X6)))) | ? [X7] : ? [X4] : ? [X8] : ((X0 = vapp(X7,X4) & (vtcheck(X2,X7,varrow(X8,X1)) & vtcheck(X2,X4,X8))))))))). % 29.94/8.26 fof(T-Weak-FreeVar-abs-1, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : (((X0 != X3 & (~visFreeVar(X0,vabs(X3,X4,veabs)) & vtcheck(X2,vabs(X3,X4,veabs),X5))) => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)))). % 29.94/8.26 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : ! [X5] : (((X0 != X3 & (~visFreeVar(X0,vabs(X3,X4,veabs)) & vtcheck(X2,vabs(X3,X4,veabs),X5))) => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5))), inference(negate_conjecture, [status(cth)], [T-Weak-FreeVar-abs-1])). % 29.94/8.26 cnf(c2, plain, visFreeVar(X0,veabs) | ~vtcheck(X1,veabs,X2) | vtcheck(vbind(X0,X3,X1),veabs,X2), inference(clausification, [status(esa)], [T-Weak-FreeVar-abs-IH])). % 29.94/8.26 cnf(c5, plain, vabs(X0,X1,X2) != vabs(X3,X4,X5) | X0 = X3, inference(clausification, [status(esa)], [EQ-abs])). % 29.94/8.26 cnf(c6, plain, vabs(X0,X1,X2) != vabs(X3,X4,X5) | X1 = X4, inference(clausification, [status(esa)], [EQ-abs])). % 29.94/8.26 cnf(c7, plain, vabs(X0,X1,X2) != vabs(X3,X4,X5) | X2 = X5, inference(clausification, [status(esa)], [EQ-abs])). % 29.94/8.26 cnf(c14, plain, vabs(X0,X1,X2) != vapp(X3,X4), inference(clausification, [status(esa)], [DIFF-abs-app])). % 29.94/8.26 cnf(c15, plain, X0 != vabs(X1,X2,X3) | visValue(X0), inference(clausification, [status(esa)], [isValue0])). % 29.94/8.26 cnf(c16, plain, X0 != vvar(X1) | ~visValue(X0), inference(clausification, [status(esa)], [isValue1])). % 29.94/8.26 cnf(c20, plain, ~visFreeVar(X0,X1) | X2 = X0 | X3 != vabs(X2,X4,X1) | visFreeVar(X5,X3) | X5 != X0, inference(clausification, [status(esa)], [isFreeVar1])). % 29.94/8.26 cnf(c54, plain, X0 = X1 | ~vtcheck(vbind(X0,X2,vbind(X1,X3,X4)),X5,X6) | vtcheck(vbind(X1,X3,vbind(X0,X2,X4)),X5,X6), inference(clausification, [status(esa)], [T-Context-Swap])). % 29.94/8.26 cnf(c140, plain, ~vtcheck(vbind(X0,X1,X2),X3,X4) | vtcheck(X2,vabs(X0,X1,X3),varrow(X1,X4)), inference(clausification, [status(esa)], [T-abs])). % 29.94/8.26 cnf(c142, plain, ~vtcheck(X0,X1,X2) | X1 = vvar(sK327(X1,X2,X0)) | X3(X0,X2,X1), inference(clausification, [status(esa)], [T-inv])). % 29.94/8.26 cnf(c144, plain, ~X0(X1,X2,X3) | X3 = vabs(sK328(X1,X2,X3),sK330(X1,X2,X3),sK329(X1,X2,X3)), inference(clausification, [status(esa)], [T-inv])). % 29.94/8.26 cnf(c145, plain, ~X0(X1,X2,X3) | X2 = varrow(sK330(X1,X2,X3),sK331(X1,X2,X3)), inference(clausification, [status(esa)], [T-inv])). % 29.94/8.26 cnf(c146, plain, ~X0(X1,X2,X3) | vtcheck(vbind(sK328(X1,X2,X3),sK330(X1,X2,X3),X1),sK329(X1,X2,X3),sK331(X1,X2,X3)), inference(clausification, [status(esa)], [T-inv])). % 29.94/8.26 cnf(c147, plain, ~X0(X1,X2,X3) | X4(X1,X2,X3) | X3 = vapp(sK332(X2,X1,X3),sK333(X2,X1,X3)), inference(clausification, [status(esa)], [T-inv])). % 29.94/8.26 cnf(c150, plain, sK335 != sK338, inference(clausification, [status(esa)], [negated_conjecture])). % 29.94/8.26 cnf(c151, plain, ~visFreeVar(sK335,vabs(sK338,sK339,veabs)), inference(clausification, [status(esa)], [negated_conjecture])). % 29.94/8.26 cnf(c152, plain, vtcheck(sK337,vabs(sK338,sK339,veabs),sK340), inference(clausification, [status(esa)], [negated_conjecture])). % 29.94/8.26 cnf(c153, plain, ~vtcheck(vbind(sK335,sK336,sK337),vabs(sK338,sK339,veabs),sK340), inference(clausification, [status(esa)], [negated_conjecture])). % 29.94/8.26 cnf(d0, plain, ~visValue(vvar(X0)), inference(equality_resolution, [status(thm)], [c16])). % 29.94/8.26 cnf(d1, plain, X0 = X1 | X2 != X1 | ~visFreeVar(X1,X3) | visFreeVar(X2,vabs(X0,X4,X3)), inference(equality_resolution, [status(thm)], [c20])). % 29.94/8.26 cnf(d2, plain, X0 = X1 | visFreeVar(X1,vabs(X0,X2,X3)) | ~visFreeVar(X1,X3), inference(equality_resolution, [status(thm)], [d1])). % 29.94/8.26 cnf(d3, plain, sK338 = sK335 | ~visFreeVar(sK335,veabs), inference(resolution, [status(thm)], [d2,c151])). % 29.94/8.26 cnf(d4, plain, vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)) | 'Ts323'(sK337,sK340,vabs(sK338,sK339,veabs)), inference(resolution, [status(thm)], [c142,c152])). % 29.94/8.26 cnf(d5, plain, vabs(sK338,sK339,veabs) = vapp(sK332(sK340,sK337,vabs(sK338,sK339,veabs)),sK333(sK340,sK337,vabs(sK338,sK339,veabs))) | 'Ts322'(sK337,sK340,vabs(sK338,sK339,veabs)) | vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)), inference(resolution, [status(thm)], [c147,d4])). % 29.94/8.26 cnf(d6, plain, vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)) | 'Ts322'(sK337,sK340,vabs(sK338,sK339,veabs)), inference(resolution, [status(thm)], [c14,d5])). % 29.94/8.26 cnf(d7, plain, vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)) | vabs(sK338,sK339,veabs) = vabs(sK328(sK337,sK340,vabs(sK338,sK339,veabs)),sK330(sK337,sK340,vabs(sK338,sK339,veabs)),sK329(sK337,sK340,vabs(sK338,sK339,veabs))), inference(resolution, [status(thm)], [d6,c144])). % 29.94/8.26 cnf(d8, plain, vabs(X0,X1,X2) != vabs(sK338,sK339,veabs) | X1 = sK330(sK337,sK340,vabs(sK338,sK339,veabs)) | vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)), inference(superposition, [status(thm)], [d7,c6])). % 29.94/8.26 cnf(d9, plain, sK339 = sK330(sK337,sK340,vabs(sK338,sK339,veabs)) | vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)), inference(equality_resolution, [status(thm)], [d8])). % 29.94/8.26 cnf(d10, plain, ~visValue(vabs(sK338,sK339,veabs)) | sK339 = sK330(sK337,sK340,vabs(sK338,sK339,veabs)), inference(superposition, [status(thm)], [d9,d0])). % 29.94/8.26 cnf(d11, plain, visValue(vabs(X0,X1,X2)), inference(equality_resolution, [status(thm)], [c15])). % 29.94/8.26 cnf(d12, plain, sK339 = sK330(sK337,sK340,vabs(sK338,sK339,veabs)), inference(resolution, [status(thm)], [d11,d10])). % 29.94/8.26 cnf(d13, plain, vabs(sK338,sK339,veabs) != vabs(X0,X1,X2) | sK328(sK337,sK340,vabs(sK338,sK339,veabs)) = X0 | vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)), inference(superposition, [status(thm)], [d7,c5])). % 29.94/8.26 cnf(d14, plain, vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)) | sK328(sK337,sK340,vabs(sK338,sK339,veabs)) = sK338, inference(equality_resolution, [status(thm)], [d13])). % 29.94/8.26 cnf(d15, plain, ~visValue(vabs(sK338,sK339,veabs)) | sK328(sK337,sK340,vabs(sK338,sK339,veabs)) = sK338, inference(superposition, [status(thm)], [d14,d0])). % 29.94/8.26 cnf(d16, plain, sK328(sK337,sK340,vabs(sK338,sK339,veabs)) = sK338, inference(resolution, [status(thm)], [d11,d15])). % 29.94/8.26 cnf(d17, plain, vabs(X0,X1,X2) != vabs(sK338,sK339,veabs) | X2 = sK329(sK337,sK340,vabs(sK338,sK339,veabs)) | vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)), inference(superposition, [status(thm)], [d7,c7])). % 29.94/8.26 cnf(d18, plain, veabs = sK329(sK337,sK340,vabs(sK338,sK339,veabs)) | vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)), inference(equality_resolution, [status(thm)], [d17])). % 29.94/8.26 cnf(d19, plain, ~visValue(vabs(sK338,sK339,veabs)) | veabs = sK329(sK337,sK340,vabs(sK338,sK339,veabs)), inference(superposition, [status(thm)], [d18,d0])). % 29.94/8.26 cnf(d20, plain, veabs = sK329(sK337,sK340,vabs(sK338,sK339,veabs)), inference(resolution, [status(thm)], [d11,d19])). % 29.94/8.26 cnf(d21, plain, vtcheck(vbind(sK328(sK337,sK340,vabs(sK338,sK339,veabs)),sK330(sK337,sK340,vabs(sK338,sK339,veabs)),sK337),veabs,sK331(sK337,sK340,vabs(sK338,sK339,veabs))) | ~'Ts322'(sK337,sK340,vabs(sK338,sK339,veabs)), inference(superposition, [status(thm)], [d20,c146])). % 29.94/8.26 cnf(d22, plain, vtcheck(vbind(sK338,sK330(sK337,sK340,vabs(sK338,sK339,veabs)),sK337),veabs,sK331(sK337,sK340,vabs(sK338,sK339,veabs))) | ~'Ts322'(sK337,sK340,vabs(sK338,sK339,veabs)), inference(demodulation, [status(thm)], [d21,d16])). % 29.94/8.26 cnf(d23, plain, vtcheck(vbind(sK338,sK339,sK337),veabs,sK331(sK337,sK340,vabs(sK338,sK339,veabs))) | ~'Ts322'(sK337,sK340,vabs(sK338,sK339,veabs)), inference(demodulation, [status(thm)], [d22,d12])). % 29.94/8.26 cnf(d24, plain, X0 = X1 | vtcheck(vbind(X1,X2,vbind(X0,X3,X4)),veabs,X5) | ~vtcheck(vbind(X1,X2,X4),veabs,X5) | visFreeVar(X0,veabs), inference(resolution, [status(thm)], [c54,c2])). % 29.94/8.26 cnf(d25, plain, vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)) | sK340 = varrow(sK330(sK337,sK340,vabs(sK338,sK339,veabs)),sK331(sK337,sK340,vabs(sK338,sK339,veabs))), inference(resolution, [status(thm)], [d6,c145])). % 29.94/8.26 cnf(d26, plain, vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)) | sK340 = varrow(sK339,sK331(sK337,sK340,vabs(sK338,sK339,veabs))), inference(demodulation, [status(thm)], [d25,d12])). % 29.94/8.26 cnf(d27, plain, vtcheck(X0,vabs(X1,sK339,X2),sK340) | ~vtcheck(vbind(X1,sK339,X0),X2,sK331(sK337,sK340,vabs(sK338,sK339,veabs))) | vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)), inference(superposition, [status(thm)], [d26,c140])). % 29.94/8.26 cnf(d28, plain, vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)) | vtcheck(vbind(X0,X1,X2),vabs(X3,sK339,veabs),sK340) | X0 = X3 | ~vtcheck(vbind(X3,sK339,X2),veabs,sK331(sK337,sK340,vabs(sK338,sK339,veabs))) | visFreeVar(X0,veabs), inference(resolution, [status(thm)], [d27,d24])). % 29.94/8.26 cnf(d29, plain, X0 = sK338 | vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)) | vtcheck(vbind(X0,X1,sK337),vabs(sK338,sK339,veabs),sK340) | visFreeVar(X0,veabs) | ~'Ts322'(sK337,sK340,vabs(sK338,sK339,veabs)), inference(resolution, [status(thm)], [d28,d23])). % 29.94/8.26 cnf(d30, plain, sK335 = sK338 | vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)) | visFreeVar(sK335,veabs) | ~'Ts322'(sK337,sK340,vabs(sK338,sK339,veabs)), inference(resolution, [status(thm)], [d29,c153])). % 29.94/8.26 cnf(d31, plain, vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)) | visFreeVar(sK335,veabs) | ~'Ts322'(sK337,sK340,vabs(sK338,sK339,veabs)), inference(resolution, [status(thm)], [c150,d30])). % 29.94/8.26 cnf(d32, plain, vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)) | visFreeVar(sK335,veabs) | vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)), inference(resolution, [status(thm)], [d31,d6])). % 29.94/8.26 cnf(d33, plain, vabs(sK338,sK339,veabs) = vvar(sK327(vabs(sK338,sK339,veabs),sK340,sK337)) | sK338 = sK335, inference(resolution, [status(thm)], [d32,d3])). % 29.94/8.26 cnf(d34, plain, ~visValue(vabs(sK338,sK339,veabs)) | sK338 = sK335, inference(superposition, [status(thm)], [d33,d0])). % 29.94/8.26 cnf(d35, plain, sK338 = sK335, inference(resolution, [status(thm)], [d11,d34])). % 29.94/8.26 cnf(d36, plain, sK338 != sK338, inference(demodulation, [status(thm)], [c150,d35])). % 29.94/8.26 cnf(d37, plain, $false, inference(equality_resolution, [status(thm)], [d36])). % 29.94/8.26 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------