%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC246+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 : n016.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 08:54:44 AM UTC 2026 % Result : Theorem 55.00s 27.67s % Output : CNFRefutation 55.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC246+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 % 0.09/5.38 % Computer : n016.cluster.edu % 0.09/5.38 % Model : x86_64 x86_64 % 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/5.38 % Memory : 8046.5625MB % 0.09/5.38 % OS : Linux 6.8.0-71-generic % 0.09/20.62 % CPULimit : 300 % 0.09/20.62 % WCLimit : 300 % 0.09/20.62 % DateTime : Sat Sep 26 12:35:57 UTC 2026 % 0.09/20.62 % CPUTime : % 0.09/20.62 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 55.00/27.67 % SZS status Theorem for theBenchmark.p % 55.00/27.67 % SZS output start CNFRefutation for theBenchmark.p % 55.00/27.67 fof(ax16, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => ssList(cons(X1,X0))))))). % 55.00/27.67 fof(ax17, axiom, ssList(nil)). % 55.00/27.67 fof(ax20, axiom, ! [X0] : ((ssList(X0) => (nil = X0 | ? [X1] : ((ssList(X1) & ? [X2] : ((ssItem(X2) & cons(X2,X1) = X0)))))))). % 55.00/27.67 fof(ax27, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssItem(X2) => cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)))))))). % 55.00/27.67 fof(ax28, axiom, ! [X0] : ((ssList(X0) => app(nil,X0) = X0))). % 55.00/27.67 fof(ax38, axiom, ! [X0] : ((ssItem(X0) => ~memberP(nil,X0)))). % 55.00/27.67 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] : ((ssList(X8) => ! [X9] : ((~ssList(X9) | (app(app(X8,X2),X9) != X3 | (~equalelemsP(X2) | (? [X10] : ((ssItem(X10) & ? [X11] : ((ssList(X11) & (app(X11,cons(X10,nil)) = X8 & ? [X12] : ((ssList(X12) & app(cons(X10,nil),X12) = X2))))))) | ? [X13] : ((ssItem(X13) & ? [X14] : ((ssList(X14) & (app(cons(X13,nil),X14) = X9 & ? [X15] : ((ssList(X15) & app(X15,cons(X13,nil)) = X2)))))))))))))) | (nil != X3 & nil = X2))))))))))))))). % 55.00/27.67 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] : ((ssList(X8) => ! [X9] : ((~ssList(X9) | (app(app(X8,X2),X9) != X3 | (~equalelemsP(X2) | (? [X10] : ((ssItem(X10) & ? [X11] : ((ssList(X11) & (app(X11,cons(X10,nil)) = X8 & ? [X12] : ((ssList(X12) & app(cons(X10,nil),X12) = X2))))))) | ? [X13] : ((ssItem(X13) & ? [X14] : ((ssList(X14) & (app(cons(X13,nil),X14) = X9 & ? [X15] : ((ssList(X15) & app(X15,cons(X13,nil)) = X2)))))))))))))) | (nil != X3 & nil = X2)))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 55.00/27.67 cnf(c96, plain, ~ssList(X0) | ~ssItem(X1) | ssList(cons(X1,X0)), inference(clausification, [status(esa)], [ax16])). % 55.00/27.67 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 55.00/27.67 cnf(c101, plain, ~ssList(X0) | nil = X0 | ssList(sK120(X0)), inference(clausification, [status(esa)], [ax20])). % 55.00/27.67 cnf(c102, plain, ~ssList(X0) | nil = X0 | ssItem(sK121(X0)), inference(clausification, [status(esa)], [ax20])). % 55.00/27.67 cnf(c103, plain, ~ssList(X0) | nil = X0 | cons(sK121(X0),sK120(X0)) = X0, inference(clausification, [status(esa)], [ax20])). % 55.00/27.67 cnf(c110, plain, ~ssList(X0) | ~ssList(X1) | ~ssItem(X2) | cons(X2,app(X1,X0)) = app(cons(X2,X1),X0), inference(clausification, [status(esa)], [ax27])). % 55.00/27.67 cnf(c111, plain, ~ssList(X0) | app(nil,X0) = X0, inference(clausification, [status(esa)], [ax28])). % 55.00/27.67 cnf(c127, plain, ~ssItem(X0) | ~memberP(nil,X0), inference(clausification, [status(esa)], [ax38])). % 55.00/27.67 cnf(c210, plain, ssList(sK256), inference(clausification, [status(esa)], [negated_conjecture])). % 55.00/27.67 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 55.00/27.67 cnf(c214, plain, nil != sK254, inference(clausification, [status(esa)], [negated_conjecture])). % 55.00/27.67 cnf(c215, plain, ~ssList(X0) | ~ssItem(X1) | app(app(X2,cons(X1,nil)),X0) != sK254 | ~X3(X0,X1,X2) | ~ssList(X2), inference(clausification, [status(esa)], [negated_conjecture])). % 55.00/27.67 cnf(c223, plain, X0(X1,X2,X3) | ssItem(sK269(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 55.00/27.67 cnf(c224, plain, X0(X1,X2,X3) | memberP(X3,sK269(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 55.00/27.67 cnf(d0, plain, app(app(X0,cons(X1,nil)),X2) != sK256 | ~ssItem(X1) | ~ssList(X2) | ~ssList(X0) | ~'Ts253'(X2,X1,X0), inference(demodulation, [status(thm)], [c215,c213])). % 55.00/27.67 cnf(d1, plain, app(cons(X0,nil),X1) != sK256 | ~ssItem(X0) | ~ssList(X1) | ~ssList(nil) | ~'Ts253'(X1,X0,nil) | ~ssList(cons(X0,nil)), inference(superposition, [status(thm)], [c111,d0])). % 55.00/27.67 cnf(d2, plain, app(cons(X0,nil),X1) != sK256 | ~ssItem(X0) | ~ssList(X1) | ~ssList(cons(X0,nil)) | ~'Ts253'(X1,X0,nil), inference(resolution, [status(thm)], [c97,d1])). % 55.00/27.67 cnf(d3, plain, ~ssItem(sK269(X0,X1,nil)) | 'Ts253'(X0,X1,nil), inference(resolution, [status(thm)], [c127,c224])). % 55.00/27.67 cnf(d4, plain, 'Ts253'(X0,X1,nil) | 'Ts253'(X0,X1,nil), inference(resolution, [status(thm)], [d3,c223])). % 55.00/27.67 cnf(d5, plain, app(cons(X0,nil),X1) != sK256 | ~ssItem(X0) | ~ssList(X1) | ~ssList(cons(X0,nil)), inference(resolution, [status(thm)], [d4,d2])). % 55.00/27.67 cnf(d6, plain, cons(X0,app(nil,X1)) != sK256 | ~ssItem(X0) | ~ssList(X1) | ~ssList(cons(X0,nil)) | ~ssItem(X0) | ~ssList(nil) | ~ssList(X1), inference(superposition, [status(thm)], [c110,d5])). % 55.00/27.67 cnf(d7, plain, cons(X0,app(nil,X1)) != sK256 | ~ssItem(X0) | ~ssList(X1) | ~ssList(cons(X0,nil)), inference(resolution, [status(thm)], [c97,d6])). % 55.00/27.67 cnf(d8, plain, cons(X1,X0) != sK256 | ~ssItem(X1) | ~ssList(X0) | ~ssList(cons(X1,nil)) | ~ssList(X0), inference(superposition, [status(thm)], [c111,d7])). % 55.00/27.67 cnf(d9, plain, X0 != sK256 | ~ssItem(sK121(X0)) | ~ssList(sK120(X0)) | ~ssList(cons(sK121(X0),nil)) | nil = X0 | ~ssList(X0), inference(superposition, [status(thm)], [c103,d8])). % 55.00/27.67 cnf(d10, plain, nil = sK256 | ~ssItem(sK121(sK256)) | ~ssList(sK256) | ~ssList(cons(sK121(sK256),nil)) | ~ssList(sK120(sK256)), inference(equality_resolution, [status(thm)], [d9])). % 55.00/27.67 cnf(d11, plain, nil = sK256 | ~ssItem(sK121(sK256)) | ~ssList(cons(sK121(sK256),nil)) | ~ssList(sK120(sK256)), inference(resolution, [status(thm)], [c210,d10])). % 55.00/27.67 cnf(d12, plain, nil != sK256, inference(demodulation, [status(thm)], [c214,c213])). % 55.00/27.67 cnf(d13, plain, ~ssItem(sK121(sK256)) | ~ssList(cons(sK121(sK256),nil)) | ~ssList(sK120(sK256)), inference(resolution, [status(thm)], [d12,d11])). % 55.00/27.67 cnf(d14, plain, ~ssItem(sK121(sK256)) | ~ssList(sK120(sK256)) | ~ssItem(sK121(sK256)) | ~ssList(nil), inference(resolution, [status(thm)], [d13,c96])). % 55.00/27.67 cnf(d15, plain, ~ssItem(sK121(sK256)) | ~ssList(sK120(sK256)), inference(resolution, [status(thm)], [c97,d14])). % 55.00/27.67 cnf(d16, plain, ~ssItem(sK121(sK256)) | nil = sK256 | ~ssList(sK256), inference(resolution, [status(thm)], [d15,c101])). % 55.00/27.67 cnf(d17, plain, nil = sK256 | ~ssItem(sK121(sK256)), inference(resolution, [status(thm)], [c210,d16])). % 55.00/27.67 cnf(d18, plain, ~ssItem(sK121(sK256)), inference(resolution, [status(thm)], [d12,d17])). % 55.00/27.67 cnf(d19, plain, nil = sK256 | ~ssList(sK256), inference(resolution, [status(thm)], [d18,c102])). % 55.00/27.67 cnf(d20, plain, nil = sK256, inference(resolution, [status(thm)], [c210,d19])). % 55.00/27.67 cnf(d21, plain, $false, inference(resolution, [status(thm)], [d12,d20])). % 55.00/27.67 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------