%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC417+1 : TPTP v9.3.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n019.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 08:55:19 AM UTC 2026 % Result : Theorem 16.94s 23.43s % Output : CNFRefutation 16.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : SWC417+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.18/5.66 % Computer : n019.cluster.edu % 0.18/5.66 % Model : x86_64 x86_64 % 0.18/5.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/5.66 % Memory : 8046.5625MB % 0.18/5.66 % OS : Linux 6.8.0-71-generic % 0.18/5.66 % CPULimit : 300 % 0.18/5.66 % WCLimit : 300 % 0.18/5.66 % DateTime : Sat Sep 26 13:00:55 UTC 2026 % 0.18/5.66 % CPUTime : % 0.18/5.66 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 16.94/23.43 % SZS status Theorem for theBenchmark.p % 16.94/23.43 % SZS output start CNFRefutation for theBenchmark.p % 16.94/23.43 fof(ax16, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => ssList(cons(X1,X0))))))). % 16.94/23.43 fof(ax17, axiom, ssList(nil)). % 16.94/23.43 fof(ax28, axiom, ! [X0] : ((ssList(X0) => app(nil,X0) = X0))). % 16.94/23.43 fof(ax84, axiom, ! [X0] : ((ssList(X0) => app(X0,nil) = X0))). % 16.94/23.43 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | ((~neq(X1,nil) | (? [X4] : ((ssItem(X4) & ? [X5] : ((ssList(X5) & ? [X6] : ((ssList(X6) & (app(app(X5,cons(X4,nil)),X6) = X1 & app(app(X6,cons(X4,nil)),X5) = X0))))))) | ! [X7] : ((ssItem(X7) => ! [X8] : ((ssList(X8) => (app(cons(X7,nil),X8) != X3 | app(X8,cons(X7,nil)) != X2))))))) & (~neq(X1,nil) | neq(X3,nil)))))))))))))). % 16.94/23.43 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] : ((ssItem(X4) & ? [X5] : ((ssList(X5) & ? [X6] : ((ssList(X6) & (app(app(X5,cons(X4,nil)),X6) = X1 & app(app(X6,cons(X4,nil)),X5) = X0))))))) | ! [X7] : ((ssItem(X7) => ! [X8] : ((ssList(X8) => (app(cons(X7,nil),X8) != X3 | app(X8,cons(X7,nil)) != X2))))))) & (~neq(X1,nil) | neq(X3,nil))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 16.94/23.43 cnf(c96, plain, ~ssList(X0) | ~ssItem(X1) | ssList(cons(X1,X0)), inference(clausification, [status(esa)], [ax16])). % 16.94/23.43 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 16.94/23.43 cnf(c111, plain, ~ssList(X0) | app(nil,X0) = X0, inference(clausification, [status(esa)], [ax28])). % 16.94/23.43 cnf(c194, plain, ~ssList(X0) | app(X0,nil) = X0, inference(clausification, [status(esa)], [ax84])). % 16.94/23.43 cnf(c208, plain, ssList(sK254), inference(clausification, [status(esa)], [negated_conjecture])). % 16.94/23.43 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 16.94/23.43 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 16.94/23.43 cnf(c214, plain, ~X0(sK254,sK255,sK256,sK257) | neq(sK255,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 16.94/23.43 cnf(c215, plain, ~X0(sK254,sK255,sK256,sK257) | ~neq(sK257,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 16.94/23.43 cnf(c216, plain, X0(X1,X2,X3,X4) | neq(X2,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 16.94/23.43 cnf(c217, plain, ~ssList(X0) | X1(X2,X3,X4,X5) | ~ssItem(X6) | app(app(X0,cons(X6,nil)),X7) != X2 | app(app(X7,cons(X6,nil)),X0) != X3 | ~ssList(X7), inference(clausification, [status(esa)], [negated_conjecture])). % 16.94/23.43 cnf(c218, plain, X0(X1,X2,X3,X4) | ssItem(sK261(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 16.94/23.43 cnf(c219, plain, X0(X1,X2,X3,X4) | ssList(sK262(X3,X4)), inference(clausification, [status(esa)], [negated_conjecture])). % 16.94/23.43 cnf(c220, plain, X0(X1,X2,X3,X4) | app(cons(sK261(X3,X4),nil),sK262(X3,X4)) = X4, inference(clausification, [status(esa)], [negated_conjecture])). % 16.94/23.43 cnf(c221, plain, X0(X1,X2,X3,X4) | app(sK262(X3,X4),cons(sK261(X3,X4),nil)) = X3, inference(clausification, [status(esa)], [negated_conjecture])). % 16.94/23.43 cnf(d0, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK256,sK257), inference(demodulation, [status(thm)], [c215,c212])). % 16.94/23.43 cnf(d1, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [d0,c213])). % 16.94/23.43 cnf(d2, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d1,c212])). % 16.94/23.43 cnf(d3, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [c214,c213])). % 16.94/23.43 cnf(d4, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d3,c212])). % 16.94/23.43 cnf(d5, plain, neq(sK255,nil) | neq(sK255,nil), inference(resolution, [status(thm)], [c216,d4])). % 16.94/23.43 cnf(d6, plain, ~'Ts253'(sK254,sK255,sK254,sK255), inference(resolution, [status(thm)], [d5,d2])). % 16.94/23.43 cnf(d7, plain, app(cons(sK261(sK254,sK255),nil),sK262(sK254,sK255)) = sK255, inference(resolution, [status(thm)], [c220,d6])). % 16.94/23.43 cnf(d8, plain, ssItem(sK261(sK254,sK255)), inference(resolution, [status(thm)], [c218,d6])). % 16.94/23.43 cnf(d9, plain, app(nil,cons(X0,X1)) = cons(X0,X1) | ~ssItem(X0) | ~ssList(X1), inference(resolution, [status(thm)], [c111,c96])). % 16.94/23.43 cnf(d10, plain, app(nil,cons(X0,nil)) = cons(X0,nil) | ~ssItem(X0), inference(resolution, [status(thm)], [d9,c97])). % 16.94/23.43 cnf(d11, plain, app(nil,cons(sK261(sK254,sK255),nil)) = cons(sK261(sK254,sK255),nil), inference(resolution, [status(thm)], [d10,d8])). % 16.94/23.43 cnf(d12, plain, app(app(X0,cons(X1,nil)),X2) != X3 | ~ssItem(X1) | ~ssList(X0) | ~ssList(X2) | 'Ts253'(X3,app(app(X2,cons(X1,nil)),X0),X4,X5), inference(equality_resolution, [status(thm)], [c217])). % 16.94/23.43 cnf(d13, plain, ~ssItem(X0) | ~ssList(X1) | ~ssList(X2) | 'Ts253'(app(app(X2,cons(X0,nil)),X1),app(app(X1,cons(X0,nil)),X2),X3,X4), inference(equality_resolution, [status(thm)], [d12])). % 16.94/23.43 cnf(d14, plain, app(sK262(sK254,sK255),cons(sK261(sK254,sK255),nil)) = sK254, inference(resolution, [status(thm)], [c221,d6])). % 16.94/23.43 cnf(d15, plain, 'Ts253'(app(sK254,X0),app(app(X0,cons(sK261(sK254,sK255),nil)),sK262(sK254,sK255)),X1,X2) | ~ssItem(sK261(sK254,sK255)) | ~ssList(sK262(sK254,sK255)) | ~ssList(X0), inference(superposition, [status(thm)], [d14,d13])). % 16.94/23.43 cnf(d16, plain, ~ssList(X0) | ~ssList(sK262(sK254,sK255)) | 'Ts253'(app(sK254,X0),app(app(X0,cons(sK261(sK254,sK255),nil)),sK262(sK254,sK255)),X1,X2), inference(resolution, [status(thm)], [d8,d15])). % 16.94/23.43 cnf(d17, plain, ssList(sK262(sK254,sK255)), inference(resolution, [status(thm)], [c219,d6])). % 16.94/23.43 cnf(d18, plain, ~ssList(X0) | 'Ts253'(app(sK254,X0),app(app(X0,cons(sK261(sK254,sK255),nil)),sK262(sK254,sK255)),X1,X2), inference(resolution, [status(thm)], [d17,d16])). % 16.94/23.43 cnf(d19, plain, app(sK254,nil) = sK254, inference(resolution, [status(thm)], [c194,c208])). % 16.94/23.43 cnf(d20, plain, 'Ts253'(sK254,app(app(nil,cons(sK261(sK254,sK255),nil)),sK262(sK254,sK255)),X0,X1) | ~ssList(nil), inference(superposition, [status(thm)], [d19,d18])). % 16.94/23.43 cnf(d21, plain, 'Ts253'(sK254,app(app(nil,cons(sK261(sK254,sK255),nil)),sK262(sK254,sK255)),X0,X1), inference(resolution, [status(thm)], [c97,d20])). % 16.94/23.43 cnf(d22, plain, 'Ts253'(sK254,app(cons(sK261(sK254,sK255),nil),sK262(sK254,sK255)),X0,X1), inference(demodulation, [status(thm)], [d21,d11])). % 16.94/23.43 cnf(d23, plain, 'Ts253'(sK254,sK255,X0,X1), inference(demodulation, [status(thm)], [d22,d7])). % 16.94/23.43 cnf(d24, plain, $false, inference(resolution, [status(thm)], [d23,d6])). % 16.94/23.43 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------