%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC120+1 : TPTP v9.3.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n008.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 08:54:20 AM UTC 2026 % Result : Theorem 36.87s 15.18s % Output : CNFRefutation 36.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC120+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/10.37 % Computer : n008.cluster.edu % 0.10/10.37 % Model : x86_64 x86_64 % 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/10.37 % Memory : 8046.5625MB % 0.10/10.37 % OS : Linux 6.8.0-71-generic % 0.10/10.37 % CPULimit : 300 % 0.10/10.37 % WCLimit : 300 % 0.10/10.37 % DateTime : Sat Sep 26 12:18:54 UTC 2026 % 0.10/10.37 % CPUTime : % 0.10/10.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 36.87/15.18 % SZS status Theorem for theBenchmark.p % 36.87/15.18 % SZS output start CNFRefutation for theBenchmark.p % 36.87/15.18 fof(ax7, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (segmentP(X0,X1) <=> ? [X2] : ((ssList(X2) & ? [X3] : ((ssList(X3) & app(app(X2,X1),X3) = X0)))))))))). % 36.87/15.18 fof(ax15, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (neq(X0,X1) <=> X0 != X1)))))). % 36.87/15.18 fof(ax16, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => ssList(cons(X1,X0))))))). % 36.87/15.18 fof(ax17, axiom, ssList(nil)). % 36.87/15.18 fof(ax18, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => cons(X1,X0) != X0))))). % 36.87/15.18 fof(ax20, axiom, ! [X0] : ((ssList(X0) => (nil = X0 | ? [X1] : ((ssList(X1) & ? [X2] : ((ssItem(X2) & cons(X2,X1) = X0)))))))). % 36.87/15.18 fof(ax24, axiom, ! [X0] : ((ssList(X0) => (nil != X0 => ssList(tl(X0)))))). % 36.87/15.18 fof(ax25, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => tl(cons(X1,X0)) = X0))))). % 36.87/15.18 fof(ax26, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ssList(app(X0,X1))))))). % 36.87/15.18 fof(ax28, axiom, ! [X0] : ((ssList(X0) => app(nil,X0) = X0))). % 36.87/15.18 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | ((~neq(X1,nil) | (? [X4] : ((ssList(X4) & (X3 != X4 & ? [X5] : ((ssList(X5) & (tl(X3) = X5 & (app(X2,X5) = X4 & neq(nil,X3)))))))) | (neq(X0,nil) & segmentP(X1,X0)))) & (~neq(X1,nil) | neq(X3,nil)))))))))))))). % 36.87/15.18 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | ((~neq(X1,nil) | (? [X4] : ((ssList(X4) & (X3 != X4 & ? [X5] : ((ssList(X5) & (tl(X3) = X5 & (app(X2,X5) = X4 & neq(nil,X3)))))))) | (neq(X0,nil) & segmentP(X1,X0)))) & (~neq(X1,nil) | neq(X3,nil))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 36.87/15.18 cnf(c21, plain, segmentP(X0,X1) | ~ssList(X1) | app(app(X2,X1),X3) != X0 | ~ssList(X3) | ~ssList(X0) | ~ssList(X2), inference(clausification, [status(esa)], [ax7])). % 36.87/15.18 cnf(c94, plain, ~ssList(X0) | ~ssList(X1) | ~neq(X0,X1) | X0 != X1, inference(clausification, [status(esa)], [ax15])). % 36.87/15.18 cnf(c95, plain, ~ssList(X0) | ~ssList(X1) | neq(X0,X1) | X0 = X1, inference(clausification, [status(esa)], [ax15])). % 36.87/15.18 cnf(c96, plain, ~ssList(X0) | ~ssItem(X1) | ssList(cons(X1,X0)), inference(clausification, [status(esa)], [ax16])). % 36.87/15.18 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 36.87/15.18 cnf(c98, plain, ~ssList(X0) | ~ssItem(X1) | cons(X1,X0) != X0, inference(clausification, [status(esa)], [ax18])). % 36.87/15.18 cnf(c101, plain, ~ssList(X0) | nil = X0 | ssList(sK120(X0)), inference(clausification, [status(esa)], [ax20])). % 36.87/15.18 cnf(c102, plain, ~ssList(X0) | nil = X0 | ssItem(sK121(X0)), inference(clausification, [status(esa)], [ax20])). % 36.87/15.18 cnf(c103, plain, ~ssList(X0) | nil = X0 | cons(sK121(X0),sK120(X0)) = X0, inference(clausification, [status(esa)], [ax20])). % 36.87/15.18 cnf(c107, plain, ~ssList(X0) | nil = X0 | ssList(tl(X0)), inference(clausification, [status(esa)], [ax24])). % 36.87/15.18 cnf(c108, plain, ~ssList(X0) | ~ssItem(X1) | tl(cons(X1,X0)) = X0, inference(clausification, [status(esa)], [ax25])). % 36.87/15.18 cnf(c109, plain, ~ssList(X0) | ~ssList(X1) | ssList(app(X0,X1)), inference(clausification, [status(esa)], [ax26])). % 36.87/15.18 cnf(c111, plain, ~ssList(X0) | app(nil,X0) = X0, inference(clausification, [status(esa)], [ax28])). % 36.87/15.18 cnf(c208, plain, ssList(sK254), inference(clausification, [status(esa)], [negated_conjecture])). % 36.87/15.18 cnf(c209, plain, ssList(sK255), inference(clausification, [status(esa)], [negated_conjecture])). % 36.87/15.18 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 36.87/15.18 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 36.87/15.18 cnf(c214, plain, ~X0(sK254,sK255,sK256,sK257) | neq(sK255,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 36.87/15.18 cnf(c215, plain, ~X0(sK254,sK255,sK256,sK257) | ~neq(sK257,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 36.87/15.18 cnf(c216, plain, X0(X1,X2,X3,X4) | neq(X2,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 36.87/15.18 cnf(c217, plain, ~ssList(X0) | ~neq(nil,X1) | X1 = X0 | tl(X1) != X2 | X3(X4,X5,X6,X1) | ~ssList(X2) | app(X6,X2) != X0, inference(clausification, [status(esa)], [negated_conjecture])). % 36.87/15.18 cnf(c218, plain, X0(X1,X2,X3,X4) | ~neq(X1,nil) | ~segmentP(X2,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 36.87/15.18 cnf(d0, plain, ~neq(X0,X0) | ~ssList(X0) | ~ssList(X0), inference(equality_resolution, [status(thm)], [c94])). % 36.87/15.18 cnf(d1, plain, X0 != X1 | X2 = X1 | tl(X2) != X0 | ~neq(nil,X2) | ~ssList(X1) | ~ssList(X0) | 'Ts253'(X3,X4,nil,X2) | ~ssList(X0), inference(superposition, [status(thm)], [c111,c217])). % 36.87/15.18 cnf(d2, plain, X1 != X2 | cons(X0,X1) = X3 | X2 != X3 | ~neq(nil,cons(X0,X1)) | ~ssList(X3) | ~ssList(X2) | 'Ts253'(X4,X5,nil,cons(X0,X1)) | ~ssItem(X0) | ~ssList(X1), inference(superposition, [status(thm)], [c108,d1])). % 36.87/15.18 cnf(d3, plain, X0 != X1 | cons(X2,X0) = X1 | ~ssItem(X2) | ~neq(nil,cons(X2,X0)) | ~ssList(X1) | ~ssList(X0) | ~ssList(X0) | 'Ts253'(X3,X4,nil,cons(X2,X0)), inference(equality_resolution, [status(thm)], [d2])). % 36.87/15.18 cnf(d4, plain, cons(X0,X1) = X1 | ~ssItem(X0) | ~neq(nil,cons(X0,X1)) | ~ssList(X1) | ~ssList(X1) | 'Ts253'(X2,X3,nil,cons(X0,X1)), inference(equality_resolution, [status(thm)], [d3])). % 36.87/15.18 cnf(d5, plain, 'Ts253'(X1,X2,nil,X0) | cons(sK121(X0),sK120(X0)) = sK120(X0) | ~ssItem(sK121(X0)) | ~neq(nil,cons(sK121(X0),sK120(X0))) | ~ssList(sK120(X0)) | nil = X0 | ~ssList(X0), inference(superposition, [status(thm)], [c103,d4])). % 36.87/15.18 cnf(d6, plain, sK120(X0) != sK120(X0) | ~ssItem(sK121(X0)) | ~ssList(sK120(X0)) | nil = X0 | ~ssItem(sK121(X0)) | ~neq(nil,cons(sK121(X0),sK120(X0))) | ~ssList(X0) | ~ssList(sK120(X0)) | 'Ts253'(X1,X2,nil,X0), inference(superposition, [status(thm)], [d5,c98])). % 36.87/15.18 cnf(d7, plain, nil = X0 | ~ssItem(sK121(X0)) | ~neq(nil,cons(sK121(X0),sK120(X0))) | ~ssList(X0) | ~ssList(sK120(X0)) | 'Ts253'(X1,X2,nil,X0), inference(equality_resolution, [status(thm)], [d6])). % 36.87/15.18 cnf(d8, plain, nil = X0 | ~ssItem(sK121(X0)) | ~ssList(X0) | ~ssList(sK120(X0)) | 'Ts253'(X1,X2,nil,X0) | nil = cons(sK121(X0),sK120(X0)) | ~ssList(cons(sK121(X0),sK120(X0))) | ~ssList(nil), inference(resolution, [status(thm)], [d7,c95])). % 36.87/15.18 cnf(d9, plain, nil = X0 | nil = cons(sK121(X0),sK120(X0)) | ~ssItem(sK121(X0)) | ~ssList(X0) | ~ssList(cons(sK121(X0),sK120(X0))) | ~ssList(sK120(X0)) | 'Ts253'(X1,X2,nil,X0), inference(resolution, [status(thm)], [c97,d8])). % 36.87/15.18 cnf(d10, plain, nil = X0 | nil = X0 | ~ssList(X0) | nil = X0 | ~ssItem(sK121(X0)) | ~ssList(X0) | ~ssList(cons(sK121(X0),sK120(X0))) | ~ssList(sK120(X0)) | 'Ts253'(X1,X2,nil,X0), inference(superposition, [status(thm)], [d9,c103])). % 36.87/15.18 cnf(d11, plain, nil = X0 | ~ssItem(sK121(X0)) | ~ssList(X0) | ~ssList(sK120(X0)) | 'Ts253'(X1,X2,nil,X0) | ~ssItem(sK121(X0)) | ~ssList(sK120(X0)), inference(resolution, [status(thm)], [d10,c96])). % 36.87/15.18 cnf(d12, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK256,sK257), inference(demodulation, [status(thm)], [c215,c212])). % 36.87/15.18 cnf(d13, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [d12,c213])). % 36.87/15.18 cnf(d14, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d13,c212])). % 36.87/15.18 cnf(d15, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [c214,c213])). % 36.87/15.18 cnf(d16, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d15,c212])). % 36.87/15.18 cnf(d17, plain, neq(sK255,nil) | neq(sK255,nil), inference(resolution, [status(thm)], [c216,d16])). % 36.87/15.18 cnf(d18, plain, ~'Ts253'(sK254,sK255,sK254,sK255), inference(resolution, [status(thm)], [d17,d14])). % 36.87/15.18 cnf(d19, plain, ~neq(sK254,nil) | ~segmentP(sK255,sK254), inference(resolution, [status(thm)], [c218,d18])). % 36.87/15.18 cnf(d20, plain, X0 = app(X1,X2) | tl(X0) != X2 | ~neq(nil,X0) | ~ssList(app(X1,X2)) | ~ssList(X2) | 'Ts253'(X3,X4,X1,X0), inference(equality_resolution, [status(thm)], [c217])). % 36.87/15.18 cnf(d21, plain, X0 = app(X1,tl(X0)) | ~neq(nil,X0) | ~ssList(tl(X0)) | ~ssList(app(X1,tl(X0))) | 'Ts253'(X2,X3,X1,X0), inference(equality_resolution, [status(thm)], [d20])). % 36.87/15.18 cnf(d22, plain, X2 != X3 | ~ssList(X3) | ~ssList(tl(X2)) | ~ssList(X1) | ~ssList(X0) | segmentP(X3,X1) | ~neq(nil,X2) | ~ssList(app(app(X0,X1),tl(X2))) | ~ssList(tl(X2)) | 'Ts253'(X4,X5,app(X0,X1),X2), inference(superposition, [status(thm)], [d21,c21])). % 36.87/15.18 cnf(d23, plain, ~neq(nil,X0) | ~ssList(X0) | ~ssList(X1) | ~ssList(X2) | ~ssList(app(app(X2,X1),tl(X0))) | ~ssList(tl(X0)) | segmentP(X0,X1) | 'Ts253'(X3,X4,app(X2,X1),X0), inference(equality_resolution, [status(thm)], [d22])). % 36.87/15.18 cnf(d24, plain, ~neq(nil,X0) | ~ssList(X1) | ~ssList(X2) | ~ssList(X0) | ~ssList(tl(X0)) | segmentP(X0,X2) | 'Ts253'(X3,X4,app(X1,X2),X0) | ~ssList(tl(X0)) | ~ssList(app(X1,X2)), inference(resolution, [status(thm)], [d23,c109])). % 36.87/15.18 cnf(d25, plain, 'Ts253'(X1,X2,X0,X3) | ~neq(nil,X3) | ~ssList(X0) | ~ssList(nil) | ~ssList(X3) | ~ssList(app(nil,X0)) | ~ssList(tl(X3)) | segmentP(X3,X0) | ~ssList(X0), inference(superposition, [status(thm)], [c111,d24])). % 36.87/15.18 cnf(d26, plain, ~neq(nil,X0) | ~ssList(X0) | ~ssList(X1) | ~ssList(app(nil,X1)) | ~ssList(tl(X0)) | segmentP(X0,X1) | 'Ts253'(X2,X3,X1,X0), inference(resolution, [status(thm)], [c97,d25])). % 36.87/15.18 cnf(d27, plain, ~neq(nil,sK255) | ~ssList(sK254) | ~ssList(sK255) | ~ssList(app(nil,sK254)) | ~ssList(tl(sK255)) | segmentP(sK255,sK254), inference(resolution, [status(thm)], [d26,d18])). % 36.87/15.18 cnf(d28, plain, ~neq(nil,sK255) | ~ssList(app(nil,sK254)) | ~ssList(tl(sK255)) | ~ssList(sK255) | segmentP(sK255,sK254), inference(resolution, [status(thm)], [c208,d27])). % 36.87/15.18 cnf(d29, plain, ~neq(nil,sK255) | ~ssList(app(nil,sK254)) | ~ssList(tl(sK255)) | segmentP(sK255,sK254), inference(resolution, [status(thm)], [c209,d28])). % 36.87/15.18 cnf(d30, plain, ~ssList(sK254) | ~neq(nil,sK255) | ~ssList(tl(sK255)) | segmentP(sK255,sK254) | ~ssList(sK254), inference(superposition, [status(thm)], [c111,d29])). % 36.87/15.18 cnf(d31, plain, ~neq(nil,sK255) | ~ssList(tl(sK255)) | segmentP(sK255,sK254), inference(resolution, [status(thm)], [c208,d30])). % 36.87/15.18 cnf(d32, plain, ~neq(nil,sK255) | segmentP(sK255,sK254) | nil = sK255 | ~ssList(sK255), inference(resolution, [status(thm)], [d31,c107])). % 36.87/15.18 cnf(d33, plain, nil = sK255 | ~neq(nil,sK255) | segmentP(sK255,sK254), inference(resolution, [status(thm)], [c209,d32])). % 36.87/15.18 cnf(d34, plain, nil = sK255 | segmentP(sK255,sK254) | nil = sK255 | ~ssList(sK255) | ~ssList(nil), inference(resolution, [status(thm)], [d33,c95])). % 36.87/15.18 cnf(d35, plain, nil = sK255 | ~ssList(nil) | segmentP(sK255,sK254), inference(resolution, [status(thm)], [c209,d34])). % 36.87/15.18 cnf(d36, plain, nil = sK255 | segmentP(sK255,sK254), inference(resolution, [status(thm)], [c97,d35])). % 36.87/15.18 cnf(d37, plain, nil = sK255 | ~neq(sK254,nil), inference(resolution, [status(thm)], [d36,d19])). % 36.87/15.18 cnf(d38, plain, nil = sK255 | sK254 = nil | ~ssList(nil) | ~ssList(sK254), inference(resolution, [status(thm)], [d37,c95])). % 36.87/15.18 cnf(d39, plain, nil = sK255 | sK254 = nil | ~ssList(nil), inference(resolution, [status(thm)], [c208,d38])). % 36.87/15.18 cnf(d40, plain, nil = sK255 | sK254 = nil, inference(resolution, [status(thm)], [c97,d39])). % 36.87/15.18 cnf(d41, plain, ~'Ts253'(sK254,sK255,nil,sK255) | nil = sK255, inference(superposition, [status(thm)], [d40,d18])). % 36.87/15.18 cnf(d42, plain, nil = sK255 | nil = sK255 | ~ssItem(sK121(sK255)) | ~ssList(sK255) | ~ssList(sK120(sK255)), inference(resolution, [status(thm)], [d41,d11])). % 36.87/15.18 cnf(d43, plain, nil = sK255 | ~ssItem(sK121(sK255)) | ~ssList(sK120(sK255)), inference(resolution, [status(thm)], [c209,d42])). % 36.87/15.18 cnf(d44, plain, nil = sK255 | ~ssItem(sK121(sK255)) | nil = sK255 | ~ssList(sK255), inference(resolution, [status(thm)], [d43,c101])). % 36.87/15.18 cnf(d45, plain, nil = sK255 | ~ssItem(sK121(sK255)), inference(resolution, [status(thm)], [c209,d44])). % 36.87/15.18 cnf(d46, plain, nil = sK255 | nil = sK255 | ~ssList(sK255), inference(resolution, [status(thm)], [d45,c102])). % 36.87/15.18 cnf(d47, plain, nil = sK255, inference(resolution, [status(thm)], [c209,d46])). % 36.87/15.18 cnf(d48, plain, neq(nil,nil), inference(demodulation, [status(thm)], [d17,d47])). % 36.87/15.18 cnf(d49, plain, ~ssList(nil), inference(resolution, [status(thm)], [d48,d0])). % 36.87/15.18 cnf(d50, plain, $false, inference(resolution, [status(thm)], [c97,d49])). % 36.87/15.18 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------