%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC252+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 : n003.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 08:54:45 AM UTC 2026 % Result : Theorem 32.16s 5.14s % Output : CNFRefutation 32.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SWC252+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.45 % Computer : n003.cluster.edu % 0.20/0.45 % Model : x86_64 x86_64 % 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.45 % Memory : 8046.5625MB % 0.20/0.45 % OS : Linux 6.8.0-71-generic % 0.20/0.45 % CPULimit : 300 % 0.20/0.45 % WCLimit : 300 % 0.20/0.45 % DateTime : Sat Sep 26 12:38:39 UTC 2026 % 0.20/0.45 % CPUTime : % 0.20/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 32.16/5.14 % SZS status Theorem for theBenchmark.p % 32.16/5.14 % SZS output start CNFRefutation for theBenchmark.p % 32.16/5.14 fof(ax4, axiom, ! [X0] : ((ssList(X0) => (singletonP(X0) <=> ? [X1] : ((ssItem(X1) & cons(X1,nil) = X0)))))). % 32.16/5.14 fof(ax17, axiom, ssList(nil)). % 32.16/5.14 fof(ax26, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ssList(app(X0,X1))))))). % 32.16/5.14 fof(ax28, axiom, ! [X0] : ((ssList(X0) => app(nil,X0) = X0))). % 32.16/5.14 fof(ax38, axiom, ! [X0] : ((ssItem(X0) => ~memberP(nil,X0)))). % 32.16/5.14 fof(ax84, axiom, ! [X0] : ((ssList(X0) => app(X0,nil) = X0))). % 32.16/5.14 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)))) & (nil != X3 | nil != X2))))))))))))))). % 32.16/5.14 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)))) & (nil != X3 | nil != X2)))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 32.16/5.14 cnf(c9, plain, ~ssList(X0) | ~singletonP(X0) | ssItem(sK11(X0)), inference(clausification, [status(esa)], [ax4])). % 32.16/5.14 cnf(c10, plain, ~ssList(X0) | ~singletonP(X0) | cons(sK11(X0),nil) = X0, inference(clausification, [status(esa)], [ax4])). % 32.16/5.14 cnf(c11, plain, ~ssList(X0) | singletonP(X0) | ~ssItem(X1) | cons(X1,nil) != X0, inference(clausification, [status(esa)], [ax4])). % 32.16/5.14 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 32.16/5.14 cnf(c109, plain, ~ssList(X0) | ~ssList(X1) | ssList(app(X0,X1)), inference(clausification, [status(esa)], [ax26])). % 32.16/5.14 cnf(c111, plain, ~ssList(X0) | app(nil,X0) = X0, inference(clausification, [status(esa)], [ax28])). % 32.16/5.14 cnf(c127, plain, ~ssItem(X0) | ~memberP(nil,X0), inference(clausification, [status(esa)], [ax38])). % 32.16/5.14 cnf(c194, plain, ~ssList(X0) | app(X0,nil) = X0, inference(clausification, [status(esa)], [ax84])). % 32.16/5.14 cnf(c210, plain, ssList(sK257), inference(clausification, [status(esa)], [negated_conjecture])). % 32.16/5.14 cnf(c213, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 32.16/5.14 cnf(c214, plain, nil != sK255, inference(clausification, [status(esa)], [negated_conjecture])). % 32.16/5.14 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])). % 32.16/5.14 cnf(c217, plain, ~X0(sK257,sK258) | nil = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 32.16/5.14 cnf(c218, plain, X0(X1,X2,X3) | ssItem(sK262(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.16/5.14 cnf(c219, plain, X0(X1,X2,X3) | memberP(X3,sK262(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.16/5.14 cnf(c223, plain, X0(X1,X2) | ssItem(sK263(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.16/5.14 cnf(c224, plain, X0(X1,X2) | cons(sK263(X1,X2),nil) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 32.16/5.14 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])). % 32.16/5.14 cnf(d1, plain, nil != sK257, inference(demodulation, [status(thm)], [c214,c213])). % 32.16/5.14 cnf(d2, plain, ~'Ts254'(sK257,sK258), inference(resolution, [status(thm)], [d1,c217])). % 32.16/5.14 cnf(d3, plain, cons(sK263(sK257,sK258),nil) = sK257, inference(resolution, [status(thm)], [c224,d2])). % 32.16/5.14 cnf(d4, plain, sK257 != X0 | ~ssItem(sK263(sK257,sK258)) | ~ssList(X0) | singletonP(X0), inference(superposition, [status(thm)], [d3,c11])). % 32.16/5.14 cnf(d5, plain, ~ssItem(sK263(sK257,sK258)) | ~ssList(sK257) | singletonP(sK257), inference(equality_resolution, [status(thm)], [d4])). % 32.16/5.14 cnf(d6, plain, ~ssItem(sK263(sK257,sK258)) | singletonP(sK257), inference(resolution, [status(thm)], [c210,d5])). % 32.16/5.14 cnf(d7, plain, singletonP(sK257) | 'Ts254'(sK257,sK258), inference(resolution, [status(thm)], [d6,c223])). % 32.16/5.14 cnf(d8, plain, singletonP(sK257), inference(resolution, [status(thm)], [d2,d7])). % 32.16/5.14 cnf(d9, plain, cons(sK11(sK257),nil) = sK257 | ~ssList(sK257), inference(resolution, [status(thm)], [d8,c10])). % 32.16/5.14 cnf(d10, plain, cons(sK11(sK257),nil) = sK257, inference(resolution, [status(thm)], [c210,d9])). % 32.16/5.14 cnf(d11, plain, app(app(X0,sK257),X1) != sK257 | ~ssItem(sK11(sK257)) | ~ssList(X1) | ~ssList(X0) | ~'Ts253'(X1,sK11(sK257),X0), inference(superposition, [status(thm)], [d10,d0])). % 32.16/5.14 cnf(d12, plain, app(nil,sK257) = sK257, inference(resolution, [status(thm)], [c111,c210])). % 32.16/5.14 cnf(d13, plain, app(sK257,X0) != sK257 | ~ssItem(sK11(sK257)) | ~ssList(X0) | ~ssList(nil) | ~'Ts253'(X0,sK11(sK257),nil), inference(superposition, [status(thm)], [d12,d11])). % 32.16/5.14 cnf(d14, plain, app(sK257,X0) != sK257 | ~ssItem(sK11(sK257)) | ~ssList(X0) | ~'Ts253'(X0,sK11(sK257),nil), inference(resolution, [status(thm)], [c97,d13])). % 32.16/5.14 cnf(d15, plain, ~ssItem(sK262(X0,X1,nil)) | 'Ts253'(X0,X1,nil), inference(resolution, [status(thm)], [c127,c219])). % 32.16/5.14 cnf(d16, plain, 'Ts253'(X0,X1,nil) | 'Ts253'(X0,X1,nil), inference(resolution, [status(thm)], [d15,c218])). % 32.16/5.14 cnf(d17, plain, app(sK257,X0) != sK257 | ~ssItem(sK11(sK257)) | ~ssList(X0), inference(resolution, [status(thm)], [d16,d14])). % 32.16/5.14 cnf(d18, plain, app(sK257,nil) = sK257, inference(resolution, [status(thm)], [c194,c210])). % 32.16/5.14 cnf(d19, plain, app(nil,app(X0,X1)) = app(X0,X1) | ~ssList(X1) | ~ssList(X0), inference(resolution, [status(thm)], [c111,c109])). % 32.16/5.14 cnf(d20, plain, app(nil,app(sK257,X0)) = app(sK257,X0) | ~ssList(X0), inference(resolution, [status(thm)], [d19,c210])). % 32.16/5.14 cnf(d21, plain, app(nil,app(sK257,nil)) = app(sK257,nil), inference(resolution, [status(thm)], [d20,c97])). % 32.16/5.14 cnf(d22, plain, app(nil,sK257) = app(sK257,nil), inference(demodulation, [status(thm)], [d21,d18])). % 32.16/5.14 cnf(d23, plain, sK257 = app(sK257,nil), inference(demodulation, [status(thm)], [d22,d12])). % 32.16/5.14 cnf(d24, plain, sK257 != sK257 | ~ssItem(sK11(sK257)) | ~ssList(nil), inference(superposition, [status(thm)], [d23,d17])). % 32.16/5.14 cnf(d25, plain, sK257 != sK257 | ~ssItem(sK11(sK257)), inference(resolution, [status(thm)], [c97,d24])). % 32.16/5.14 cnf(d26, plain, ~ssItem(sK11(sK257)), inference(equality_resolution, [status(thm)], [d25])). % 32.16/5.14 cnf(d27, plain, ~ssList(sK257) | ~singletonP(sK257), inference(resolution, [status(thm)], [d26,c9])). % 32.16/5.14 cnf(d28, plain, ~singletonP(sK257), inference(resolution, [status(thm)], [c210,d27])). % 32.16/5.14 cnf(d29, plain, $false, inference(resolution, [status(thm)], [d8,d28])). % 32.16/5.14 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------