%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC239+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 : n015.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 08:54:43 AM UTC 2026 % Result : Theorem 34.00s 9.78s % Output : CNFRefutation 34.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC239+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 % 0.11/5.38 % Computer : n015.cluster.edu % 0.11/5.38 % Model : x86_64 x86_64 % 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/5.38 % Memory : 8046.5625MB % 0.11/5.38 % OS : Linux 6.8.0-71-generic % 0.11/5.38 % CPULimit : 300 % 0.11/5.38 % WCLimit : 300 % 0.11/5.38 % DateTime : Sat Sep 26 12:38:35 UTC 2026 % 0.11/5.38 % CPUTime : % 0.11/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 34.00/9.78 % SZS status Theorem for theBenchmark.p % 34.00/9.78 % SZS output start CNFRefutation for theBenchmark.p % 34.00/9.78 fof(ax17, axiom, ssList(nil)). % 34.00/9.78 fof(ax26, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ssList(app(X0,X1))))))). % 34.00/9.78 fof(ax28, axiom, ! [X0] : ((ssList(X0) => app(nil,X0) = X0))). % 34.00/9.78 fof(ax38, axiom, ! [X0] : ((ssItem(X0) => ~memberP(nil,X0)))). % 34.00/9.78 fof(ax84, axiom, ! [X0] : ((ssList(X0) => app(X0,nil) = X0))). % 34.00/9.78 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (nil = X0 | (? [X4] : ((ssItem(X4) & ? [X5] : ((ssList(X5) & ? [X6] : ((ssList(X6) & (app(app(X5,cons(X4,nil)),X6) = X0 & ! [X7] : ((ssItem(X7) => (~memberP(X5,X7) | (~memberP(X6,X7) | (~lt(X4,X7) | leq(X4,X7))))))))))))) | (! [X8] : ((ssItem(X8) => (cons(X8,nil) != X2 | (~memberP(X3,X8) | ? [X9] : ((ssItem(X9) & (X8 != X9 & (memberP(X3,X9) & leq(X8,X9))))))))) & (nil != X3 | nil != X2))))))))))))))). % 34.00/9.78 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (nil = X0 | (? [X4] : ((ssItem(X4) & ? [X5] : ((ssList(X5) & ? [X6] : ((ssList(X6) & (app(app(X5,cons(X4,nil)),X6) = X0 & ! [X7] : ((ssItem(X7) => (~memberP(X5,X7) | (~memberP(X6,X7) | (~lt(X4,X7) | leq(X4,X7))))))))))))) | (! [X8] : ((ssItem(X8) => (cons(X8,nil) != X2 | (~memberP(X3,X8) | ? [X9] : ((ssItem(X9) & (X8 != X9 & (memberP(X3,X9) & leq(X8,X9))))))))) & (nil != X3 | nil != X2)))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 34.00/9.78 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 34.00/9.78 cnf(c109, plain, ~ssList(X0) | ~ssList(X1) | ssList(app(X0,X1)), inference(clausification, [status(esa)], [ax26])). % 34.00/9.78 cnf(c111, plain, ~ssList(X0) | app(nil,X0) = X0, inference(clausification, [status(esa)], [ax28])). % 34.00/9.78 cnf(c127, plain, ~ssItem(X0) | ~memberP(nil,X0), inference(clausification, [status(esa)], [ax38])). % 34.00/9.78 cnf(c194, plain, ~ssList(X0) | app(X0,nil) = X0, inference(clausification, [status(esa)], [ax84])). % 34.00/9.78 cnf(c210, plain, ssList(sK257), inference(clausification, [status(esa)], [negated_conjecture])). % 34.00/9.78 cnf(c213, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 34.00/9.78 cnf(c214, plain, nil != sK255, inference(clausification, [status(esa)], [negated_conjecture])). % 34.00/9.78 cnf(c215, plain, ~ssItem(X0) | ~ssList(X1) | ~X2(X3,X0,X1) | ~ssList(X3) | app(app(X1,cons(X0,nil)),X3) != sK255, inference(clausification, [status(esa)], [negated_conjecture])). % 34.00/9.78 cnf(c217, plain, ~X0(sK257,sK258) | nil = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 34.00/9.78 cnf(c218, plain, X0(X1,X2,X3) | ssItem(sK262(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 34.00/9.78 cnf(c219, plain, X0(X1,X2,X3) | memberP(X3,sK262(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 34.00/9.78 cnf(c223, plain, X0(X1,X2) | ssItem(sK263(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 34.00/9.78 cnf(c224, plain, X0(X1,X2) | cons(sK263(X1,X2),nil) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 34.00/9.78 cnf(d0, plain, app(app(X0,cons(X1,nil)),X2) != sK257 | ~ssItem(X1) | ~ssList(X2) | ~ssList(X0) | ~'Ts253'(X2,X1,X0), inference(demodulation, [status(thm)], [c215,c213])). % 34.00/9.78 cnf(d1, plain, nil != sK257, inference(demodulation, [status(thm)], [c214,c213])). % 34.00/9.78 cnf(d2, plain, ~'Ts254'(sK257,sK258), inference(resolution, [status(thm)], [d1,c217])). % 34.00/9.78 cnf(d3, plain, cons(sK263(sK257,sK258),nil) = sK257, inference(resolution, [status(thm)], [c224,d2])). % 34.00/9.78 cnf(d4, plain, app(app(X0,sK257),X1) != sK257 | ~ssItem(sK263(sK257,sK258)) | ~ssList(X1) | ~ssList(X0) | ~'Ts253'(X1,sK263(sK257,sK258),X0), inference(superposition, [status(thm)], [d3,d0])). % 34.00/9.78 cnf(d5, plain, app(nil,sK257) = sK257, inference(resolution, [status(thm)], [c111,c210])). % 34.00/9.78 cnf(d6, plain, app(sK257,X0) != sK257 | ~ssItem(sK263(sK257,sK258)) | ~ssList(X0) | ~ssList(nil) | ~'Ts253'(X0,sK263(sK257,sK258),nil), inference(superposition, [status(thm)], [d5,d4])). % 34.00/9.78 cnf(d7, plain, app(sK257,X0) != sK257 | ~ssItem(sK263(sK257,sK258)) | ~ssList(X0) | ~'Ts253'(X0,sK263(sK257,sK258),nil), inference(resolution, [status(thm)], [c97,d6])). % 34.00/9.78 cnf(d8, plain, ~ssItem(sK262(X0,X1,nil)) | 'Ts253'(X0,X1,nil), inference(resolution, [status(thm)], [c127,c219])). % 34.00/9.78 cnf(d9, plain, 'Ts253'(X0,X1,nil) | 'Ts253'(X0,X1,nil), inference(resolution, [status(thm)], [d8,c218])). % 34.00/9.78 cnf(d10, plain, app(sK257,X0) != sK257 | ~ssItem(sK263(sK257,sK258)) | ~ssList(X0), inference(resolution, [status(thm)], [d9,d7])). % 34.00/9.78 cnf(d11, plain, app(sK257,nil) = sK257, inference(resolution, [status(thm)], [c194,c210])). % 34.00/9.78 cnf(d12, plain, app(nil,app(X0,X1)) = app(X0,X1) | ~ssList(X1) | ~ssList(X0), inference(resolution, [status(thm)], [c111,c109])). % 34.00/9.78 cnf(d13, plain, app(nil,app(sK257,X0)) = app(sK257,X0) | ~ssList(X0), inference(resolution, [status(thm)], [d12,c210])). % 34.00/9.78 cnf(d14, plain, app(nil,app(sK257,nil)) = app(sK257,nil), inference(resolution, [status(thm)], [d13,c97])). % 34.00/9.78 cnf(d15, plain, app(nil,sK257) = app(sK257,nil), inference(demodulation, [status(thm)], [d14,d11])). % 34.00/9.78 cnf(d16, plain, sK257 = app(sK257,nil), inference(demodulation, [status(thm)], [d15,d5])). % 34.00/9.78 cnf(d17, plain, sK257 != sK257 | ~ssItem(sK263(sK257,sK258)) | ~ssList(nil), inference(superposition, [status(thm)], [d16,d10])). % 34.00/9.78 cnf(d18, plain, sK257 != sK257 | ~ssItem(sK263(sK257,sK258)), inference(resolution, [status(thm)], [c97,d17])). % 34.00/9.78 cnf(d19, plain, ~ssItem(sK263(sK257,sK258)), inference(equality_resolution, [status(thm)], [d18])). % 34.00/9.78 cnf(d20, plain, 'Ts254'(sK257,sK258), inference(resolution, [status(thm)], [d19,c223])). % 34.00/9.78 cnf(d21, plain, $false, inference(resolution, [status(thm)], [d2,d20])). % 34.00/9.78 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------