%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : COM126+1 : TPTP v9.3.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n011.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 23.44s 8.42s % Output : CNFRefutation 23.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : COM126+1 : TPTP v9.3.1. Released v6.4.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/5.37 % Computer : n011.cluster.edu % 0.09/5.37 % Model : x86_64 x86_64 % 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/5.37 % Memory : 8046.5625MB % 0.09/5.37 % OS : Linux 6.8.0-71-generic % 0.09/5.37 % CPULimit : 300 % 0.09/5.37 % WCLimit : 300 % 0.09/5.37 % DateTime : Sat Sep 26 23:31:50 UTC 2026 % 0.09/5.38 % CPUTime : % 0.09/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 23.44/8.42 % SZS status Theorem for theBenchmark.p % 23.44/8.42 % SZS output start CNFRefutation for theBenchmark.p % 23.44/8.42 fof(T-Weak-FreeVar-app-IH1, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((~visFreeVar(X0,ve1app) & vtcheck(X2,ve1app,X3)) => vtcheck(vbind(X0,X1,X2),ve1app,X3)))). % 23.44/8.42 fof(T-Weak-FreeVar-app-IH2, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((~visFreeVar(X0,ve2app) & vtcheck(X2,ve2app,X3)) => vtcheck(vbind(X0,X1,X2),ve2app,X3)))). % 23.44/8.42 fof(EQ-app, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((vapp(X0,X1) = vapp(X2,X3) => (X0 = X2 & X1 = X3)) & ((X0 = X2 & X1 = X3) => vapp(X0,X1) = vapp(X2,X3))))). % 23.44/8.42 fof(DIFF-var-app, axiom, ! [X0] : ! [X1] : ! [X2] : vvar(X0) != vapp(X1,X2)). % 23.44/8.42 fof(isValue0, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ((X3 = vabs(X0,X1,X2) => visValue(X3)))). % 23.44/8.42 fof(isValue2, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = vapp(X0,X1) => ~visValue(X2)))). % 23.44/8.42 fof(isFreeVar2, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((X0 = X3 & X1 = vapp(X2,X4)) => (((visFreeVar(X3,X2) | visFreeVar(X3,X4)) => visFreeVar(X0,X1)) & (visFreeVar(X0,X1) => (visFreeVar(X3,X2) | visFreeVar(X3,X4))))))). % 23.44/8.42 fof(T-app, axiom, ! [X0] : ! [X1] : ! [X2] : ! [X3] : ! [X4] : (((vtcheck(X1,X2,varrow(X0,X4)) & vtcheck(X1,X3,X0)) => vtcheck(X1,vapp(X2,X3),X4)))). % 23.44/8.42 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))))))))). % 23.44/8.42 fof(T-Weak-FreeVar-app, conjecture, ! [X0] : ! [X1] : ! [X2] : ! [X3] : (((~visFreeVar(X0,vapp(ve1app,ve2app)) & vtcheck(X2,vapp(ve1app,ve2app),X3)) => vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)))). % 23.44/8.42 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ! [X3] : (((~visFreeVar(X0,vapp(ve1app,ve2app)) & vtcheck(X2,vapp(ve1app,ve2app),X3)) => vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3))), inference(negate_conjecture, [status(cth)], [T-Weak-FreeVar-app])). % 23.44/8.42 cnf(c2, plain, visFreeVar(X0,ve1app) | ~vtcheck(X1,ve1app,X2) | vtcheck(vbind(X0,X3,X1),ve1app,X2), inference(clausification, [status(esa)], [T-Weak-FreeVar-app-IH1])). % 23.44/8.42 cnf(c3, plain, visFreeVar(X0,ve2app) | ~vtcheck(X1,ve2app,X2) | vtcheck(vbind(X0,X3,X1),ve2app,X2), inference(clausification, [status(esa)], [T-Weak-FreeVar-app-IH2])). % 23.44/8.42 cnf(c10, plain, vapp(X0,X1) != vapp(X2,X3) | X0 = X2, inference(clausification, [status(esa)], [EQ-app])). % 23.44/8.42 cnf(c11, plain, vapp(X0,X1) != vapp(X2,X3) | X1 = X3, inference(clausification, [status(esa)], [EQ-app])). % 23.44/8.42 cnf(c14, plain, vvar(X0) != vapp(X1,X2), inference(clausification, [status(esa)], [DIFF-var-app])). % 23.44/8.42 cnf(c16, plain, X0 != vabs(X1,X2,X3) | visValue(X0), inference(clausification, [status(esa)], [isValue0])). % 23.44/8.42 cnf(c18, plain, X0 != vapp(X1,X2) | ~visValue(X0), inference(clausification, [status(esa)], [isValue2])). % 23.44/8.42 cnf(c24, plain, X0 != X1 | X2 != vapp(X3,X4) | ~visFreeVar(X1,X3) | visFreeVar(X0,X2), inference(clausification, [status(esa)], [isFreeVar2])). % 23.44/8.42 cnf(c25, plain, X0 != X1 | X2 != vapp(X3,X4) | ~visFreeVar(X1,X4) | visFreeVar(X0,X2), inference(clausification, [status(esa)], [isFreeVar2])). % 23.44/8.42 cnf(c142, plain, ~vtcheck(X0,X1,varrow(X2,X3)) | ~vtcheck(X0,X4,X2) | vtcheck(X0,vapp(X1,X4),X3), inference(clausification, [status(esa)], [T-app])). % 23.44/8.42 cnf(c143, plain, ~vtcheck(X0,X1,X2) | X1 = vvar(sK331(X1,X2,X0)) | X3(X0,X2,X1), inference(clausification, [status(esa)], [T-inv])). % 23.44/8.42 cnf(c145, plain, ~X0(X1,X2,X3) | X3 = vabs(sK332(X1,X2,X3),sK334(X1,X2,X3),sK333(X1,X2,X3)), inference(clausification, [status(esa)], [T-inv])). % 23.44/8.42 cnf(c148, plain, ~X0(X1,X2,X3) | X4(X1,X2,X3) | X3 = vapp(sK336(X2,X1,X3),sK337(X2,X1,X3)), inference(clausification, [status(esa)], [T-inv])). % 23.44/8.42 cnf(c149, plain, ~X0(X1,X2,X3) | X4(X1,X2,X3) | vtcheck(X1,sK336(X2,X1,X3),varrow(sK338(X2,X1,X3),X2)), inference(clausification, [status(esa)], [T-inv])). % 23.44/8.42 cnf(c150, plain, ~X0(X1,X2,X3) | X4(X1,X2,X3) | vtcheck(X1,sK337(X2,X1,X3),sK338(X2,X1,X3)), inference(clausification, [status(esa)], [T-inv])). % 23.44/8.42 cnf(c151, plain, ~visFreeVar(sK339,vapp(ve1app,ve2app)), inference(clausification, [status(esa)], [negated_conjecture])). % 23.44/8.42 cnf(c152, plain, vtcheck(sK341,vapp(ve1app,ve2app),sK342), inference(clausification, [status(esa)], [negated_conjecture])). % 23.44/8.42 cnf(c153, plain, ~vtcheck(vbind(sK339,sK340,sK341),vapp(ve1app,ve2app),sK342), inference(clausification, [status(esa)], [negated_conjecture])). % 23.44/8.42 cnf(d0, plain, visValue(vabs(X0,X1,X2)), inference(equality_resolution, [status(thm)], [c16])). % 23.44/8.42 cnf(d1, plain, vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)) | 'Ts327'(sK341,sK342,vapp(ve1app,ve2app)), inference(resolution, [status(thm)], [c143,c152])). % 23.44/8.42 cnf(d2, plain, vapp(ve1app,ve2app) = vapp(sK336(sK342,sK341,vapp(ve1app,ve2app)),sK337(sK342,sK341,vapp(ve1app,ve2app))) | 'Ts326'(sK341,sK342,vapp(ve1app,ve2app)) | vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)), inference(resolution, [status(thm)], [c148,d1])). % 23.44/8.42 cnf(d3, plain, vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)) | vapp(ve1app,ve2app) = vapp(sK336(sK342,sK341,vapp(ve1app,ve2app)),sK337(sK342,sK341,vapp(ve1app,ve2app))) | vapp(ve1app,ve2app) = vabs(sK332(sK341,sK342,vapp(ve1app,ve2app)),sK334(sK341,sK342,vapp(ve1app,ve2app)),sK333(sK341,sK342,vapp(ve1app,ve2app))), inference(resolution, [status(thm)], [d2,c145])). % 23.44/8.42 cnf(d4, plain, visValue(vapp(ve1app,ve2app)) | vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)) | vapp(ve1app,ve2app) = vapp(sK336(sK342,sK341,vapp(ve1app,ve2app)),sK337(sK342,sK341,vapp(ve1app,ve2app))), inference(superposition, [status(thm)], [d3,d0])). % 23.44/8.42 cnf(d5, plain, ~visValue(vapp(X0,X1)), inference(equality_resolution, [status(thm)], [c18])). % 23.44/8.42 cnf(d6, plain, vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)) | vapp(ve1app,ve2app) = vapp(sK336(sK342,sK341,vapp(ve1app,ve2app)),sK337(sK342,sK341,vapp(ve1app,ve2app))), inference(resolution, [status(thm)], [d5,d4])). % 23.44/8.42 cnf(d7, plain, vapp(ve1app,ve2app) != vapp(X0,X1) | sK337(sK342,sK341,vapp(ve1app,ve2app)) = X1 | vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)), inference(superposition, [status(thm)], [d6,c11])). % 23.44/8.42 cnf(d8, plain, vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)) | sK337(sK342,sK341,vapp(ve1app,ve2app)) = ve2app, inference(equality_resolution, [status(thm)], [d7])). % 23.44/8.42 cnf(d9, plain, vapp(ve1app,ve2app) != vapp(X0,X1) | sK337(sK342,sK341,vapp(ve1app,ve2app)) = ve2app, inference(superposition, [status(thm)], [d8,c14])). % 23.44/8.42 cnf(d10, plain, sK337(sK342,sK341,vapp(ve1app,ve2app)) = ve2app, inference(equality_resolution, [status(thm)], [d9])). % 23.44/8.42 cnf(d11, plain, vtcheck(sK341,ve2app,sK338(sK342,sK341,vapp(ve1app,ve2app))) | ~'Ts327'(sK341,sK342,vapp(ve1app,ve2app)) | 'Ts326'(sK341,sK342,vapp(ve1app,ve2app)), inference(superposition, [status(thm)], [d10,c150])). % 23.44/8.42 cnf(d12, plain, vapp(X0,X1) != vapp(ve1app,ve2app) | X0 = sK336(sK342,sK341,vapp(ve1app,ve2app)) | vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)), inference(superposition, [status(thm)], [d6,c10])). % 23.44/8.42 cnf(d13, plain, ve1app = sK336(sK342,sK341,vapp(ve1app,ve2app)) | vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)), inference(equality_resolution, [status(thm)], [d12])). % 23.44/8.42 cnf(d14, plain, vapp(ve1app,ve2app) != vapp(X0,X1) | ve1app = sK336(sK342,sK341,vapp(ve1app,ve2app)), inference(superposition, [status(thm)], [d13,c14])). % 23.44/8.42 cnf(d15, plain, ve1app = sK336(sK342,sK341,vapp(ve1app,ve2app)), inference(equality_resolution, [status(thm)], [d14])). % 23.44/8.42 cnf(d16, plain, vtcheck(sK341,ve1app,varrow(sK338(sK342,sK341,vapp(ve1app,ve2app)),sK342)) | ~'Ts327'(sK341,sK342,vapp(ve1app,ve2app)) | 'Ts326'(sK341,sK342,vapp(ve1app,ve2app)), inference(superposition, [status(thm)], [d15,c149])). % 23.44/8.42 cnf(d17, plain, ~vtcheck(vbind(X0,X1,X2),X3,X4) | vtcheck(vbind(X0,X1,X2),vapp(ve1app,X3),X5) | ~vtcheck(X2,ve1app,varrow(X4,X5)) | visFreeVar(X0,ve1app), inference(resolution, [status(thm)], [c142,c2])). % 23.44/8.42 cnf(d18, plain, ~vtcheck(X0,ve1app,varrow(X1,X2)) | vtcheck(vbind(X3,X4,X0),vapp(ve1app,ve2app),X2) | visFreeVar(X3,ve1app) | ~vtcheck(X0,ve2app,X1) | visFreeVar(X3,ve2app), inference(resolution, [status(thm)], [d17,c3])). % 23.44/8.42 cnf(d19, plain, ~vtcheck(sK341,ve2app,sK338(sK342,sK341,vapp(ve1app,ve2app))) | vtcheck(vbind(X0,X1,sK341),vapp(ve1app,ve2app),sK342) | visFreeVar(X0,ve1app) | visFreeVar(X0,ve2app) | ~'Ts327'(sK341,sK342,vapp(ve1app,ve2app)) | 'Ts326'(sK341,sK342,vapp(ve1app,ve2app)), inference(resolution, [status(thm)], [d18,d16])). % 23.44/8.42 cnf(d20, plain, vtcheck(vbind(X0,X1,sK341),vapp(ve1app,ve2app),sK342) | visFreeVar(X0,ve1app) | visFreeVar(X0,ve2app) | ~'Ts327'(sK341,sK342,vapp(ve1app,ve2app)) | 'Ts326'(sK341,sK342,vapp(ve1app,ve2app)) | ~'Ts327'(sK341,sK342,vapp(ve1app,ve2app)) | 'Ts326'(sK341,sK342,vapp(ve1app,ve2app)), inference(resolution, [status(thm)], [d19,d11])). % 23.44/8.42 cnf(d21, plain, visFreeVar(sK339,ve1app) | visFreeVar(sK339,ve2app) | ~'Ts327'(sK341,sK342,vapp(ve1app,ve2app)) | 'Ts326'(sK341,sK342,vapp(ve1app,ve2app)), inference(resolution, [status(thm)], [d20,c153])). % 23.44/8.42 cnf(d22, plain, X0 != X1 | ~visFreeVar(X1,X2) | visFreeVar(X0,vapp(X2,X3)), inference(equality_resolution, [status(thm)], [c24])). % 23.44/8.42 cnf(d23, plain, ~visFreeVar(X0,X1) | visFreeVar(X0,vapp(X1,X2)), inference(equality_resolution, [status(thm)], [d22])). % 23.44/8.42 cnf(d24, plain, ~visFreeVar(sK339,ve1app), inference(resolution, [status(thm)], [d23,c151])). % 23.44/8.42 cnf(d25, plain, visFreeVar(sK339,ve2app) | ~'Ts327'(sK341,sK342,vapp(ve1app,ve2app)) | 'Ts326'(sK341,sK342,vapp(ve1app,ve2app)), inference(resolution, [status(thm)], [d24,d21])). % 23.44/8.42 cnf(d26, plain, X0 != X1 | ~visFreeVar(X1,X2) | visFreeVar(X0,vapp(X3,X2)), inference(equality_resolution, [status(thm)], [c25])). % 23.44/8.42 cnf(d27, plain, ~visFreeVar(X0,X1) | visFreeVar(X0,vapp(X2,X1)), inference(equality_resolution, [status(thm)], [d26])). % 23.44/8.42 cnf(d28, plain, ~visFreeVar(sK339,ve2app), inference(resolution, [status(thm)], [d27,c151])). % 23.44/8.42 cnf(d29, plain, ~'Ts327'(sK341,sK342,vapp(ve1app,ve2app)) | 'Ts326'(sK341,sK342,vapp(ve1app,ve2app)), inference(resolution, [status(thm)], [d28,d25])). % 23.44/8.42 cnf(d30, plain, 'Ts326'(sK341,sK342,vapp(ve1app,ve2app)) | vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)), inference(resolution, [status(thm)], [d29,d1])). % 23.44/8.42 cnf(d31, plain, vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)) | vapp(ve1app,ve2app) = vabs(sK332(sK341,sK342,vapp(ve1app,ve2app)),sK334(sK341,sK342,vapp(ve1app,ve2app)),sK333(sK341,sK342,vapp(ve1app,ve2app))), inference(resolution, [status(thm)], [d30,c145])). % 23.44/8.42 cnf(d32, plain, visValue(vapp(ve1app,ve2app)) | vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)), inference(superposition, [status(thm)], [d31,d0])). % 23.44/8.42 cnf(d33, plain, vapp(ve1app,ve2app) = vvar(sK331(vapp(ve1app,ve2app),sK342,sK341)), inference(resolution, [status(thm)], [d5,d32])). % 23.44/8.42 cnf(d34, plain, vapp(ve1app,ve2app) != vapp(X0,X1), inference(superposition, [status(thm)], [d33,c14])). % 23.44/8.42 cnf(d35, plain, $false, inference(equality_resolution, [status(thm)], [d34])). % 23.44/8.42 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------