%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC013+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 : n005.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 08:53:56 AM UTC 2026 % Result : Theorem 34.03s 4.88s % Output : CNFRefutation 34.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC013+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 % 0.10/0.36 % Computer : n005.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 26 12:03:31 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 34.03/4.88 % SZS status Theorem for theBenchmark.p % 34.03/4.88 % SZS output start CNFRefutation for theBenchmark.p % 34.03/4.88 fof(ax15, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (neq(X0,X1) <=> X0 != X1)))))). % 34.03/4.88 fof(ax16, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => ssList(cons(X1,X0))))))). % 34.03/4.88 fof(ax17, axiom, ssList(nil)). % 34.03/4.88 fof(ax22, axiom, ! [X0] : ((ssList(X0) => (nil != X0 => ssItem(hd(X0)))))). % 34.03/4.88 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) & (X2 != X4 & ? [X5] : ((ssItem(X5) & (cons(X5,nil) = X4 & (hd(X3) = X5 & neq(nil,X3)))))))) | ? [X6] : ((ssList(X6) & (X0 = X6 & ? [X7] : ((ssItem(X7) & (cons(X7,nil) = X6 & (hd(X1) = X7 & neq(nil,X1)))))))))) & (~neq(X1,nil) | neq(X3,nil)))))))))))))). % 34.03/4.88 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) & (X2 != X4 & ? [X5] : ((ssItem(X5) & (cons(X5,nil) = X4 & (hd(X3) = X5 & neq(nil,X3)))))))) | ? [X6] : ((ssList(X6) & (X0 = X6 & ? [X7] : ((ssItem(X7) & (cons(X7,nil) = X6 & (hd(X1) = X7 & neq(nil,X1)))))))))) & (~neq(X1,nil) | neq(X3,nil))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 34.03/4.88 cnf(c94, plain, ~ssList(X0) | ~ssList(X1) | ~neq(X0,X1) | X0 != X1, inference(clausification, [status(esa)], [ax15])). % 34.03/4.88 cnf(c95, plain, ~ssList(X0) | ~ssList(X1) | neq(X0,X1) | X0 = X1, inference(clausification, [status(esa)], [ax15])). % 34.03/4.88 cnf(c96, plain, ~ssList(X0) | ~ssItem(X1) | ssList(cons(X1,X0)), inference(clausification, [status(esa)], [ax16])). % 34.03/4.88 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 34.03/4.88 cnf(c105, plain, ~ssList(X0) | nil = X0 | ssItem(hd(X0)), inference(clausification, [status(esa)], [ax22])). % 34.03/4.88 cnf(c209, plain, ssList(sK255), inference(clausification, [status(esa)], [negated_conjecture])). % 34.03/4.88 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 34.03/4.88 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 34.03/4.88 cnf(c214, plain, ~X0(sK254,sK255,sK256,sK257) | neq(sK255,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 34.03/4.88 cnf(c215, plain, ~X0(sK254,sK255,sK256,sK257) | ~neq(sK257,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 34.03/4.88 cnf(c216, plain, X0(X1,X2,X3,X4) | neq(X2,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 34.03/4.88 cnf(c217, plain, ~ssList(X0) | ~ssItem(X1) | ~neq(nil,X2) | X3(X4,X5,X6,X2) | cons(X1,nil) != X0 | X6 = X0 | hd(X2) != X1, inference(clausification, [status(esa)], [negated_conjecture])). % 34.03/4.88 cnf(c218, plain, cons(X0,nil) != X1 | X2(X3,X4,X5,X6) | X3 != X1 | ~ssItem(X0) | ~neq(nil,X4) | hd(X4) != X0 | ~ssList(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 34.03/4.88 cnf(d0, plain, ~neq(X0,X0) | ~ssList(X0) | ~ssList(X0), inference(equality_resolution, [status(thm)], [c94])). % 34.03/4.88 cnf(d1, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK256,sK257), inference(demodulation, [status(thm)], [c215,c212])). % 34.03/4.88 cnf(d2, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [d1,c213])). % 34.03/4.88 cnf(d3, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d2,c212])). % 34.03/4.88 cnf(d4, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [c214,c213])). % 34.03/4.88 cnf(d5, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d4,c212])). % 34.03/4.88 cnf(d6, plain, neq(sK255,nil) | neq(sK255,nil), inference(resolution, [status(thm)], [c216,d5])). % 34.03/4.88 cnf(d7, plain, ~'Ts253'(sK254,sK255,sK254,sK255), inference(resolution, [status(thm)], [d6,d3])). % 34.03/4.88 cnf(d8, plain, X0 != cons(X1,nil) | hd(X2) != X1 | ~ssItem(X1) | ~neq(nil,X2) | ~ssList(cons(X1,nil)) | 'Ts253'(X0,X2,X3,X4), inference(equality_resolution, [status(thm)], [c218])). % 34.03/4.88 cnf(d9, plain, hd(X0) != X1 | ~ssItem(X1) | ~neq(nil,X0) | ~ssList(cons(X1,nil)) | 'Ts253'(cons(X1,nil),X0,X2,X3), inference(equality_resolution, [status(thm)], [d8])). % 34.03/4.88 cnf(d10, plain, ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(cons(hd(X0),nil)) | 'Ts253'(cons(hd(X0),nil),X0,X1,X2), inference(equality_resolution, [status(thm)], [d9])). % 34.03/4.88 cnf(d11, plain, X0 = cons(X1,nil) | hd(X2) != X1 | ~ssItem(X1) | ~neq(nil,X2) | ~ssList(cons(X1,nil)) | 'Ts253'(X3,X4,X0,X2), inference(equality_resolution, [status(thm)], [c217])). % 34.03/4.88 cnf(d12, plain, X0 = cons(hd(X1),nil) | ~ssItem(hd(X1)) | ~neq(nil,X1) | ~ssList(cons(hd(X1),nil)) | 'Ts253'(X2,X3,X0,X1), inference(equality_resolution, [status(thm)], [d11])). % 34.03/4.88 cnf(d13, plain, 'Ts253'(X1,X0,X2,X3) | ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(cons(hd(X0),nil)) | ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(cons(hd(X0),nil)) | 'Ts253'(X4,X5,X1,X0), inference(superposition, [status(thm)], [d12,d10])). % 34.03/4.88 cnf(d14, plain, ~ssItem(hd(X0)) | ~ssList(nil) | ~ssItem(hd(X0)) | ~neq(nil,X0) | 'Ts253'(X1,X2,X3,X0) | 'Ts253'(X3,X0,X4,X5), inference(resolution, [status(thm)], [c96,d13])). % 34.03/4.88 cnf(d15, plain, ~ssItem(hd(X0)) | ~neq(nil,X0) | 'Ts253'(X1,X0,X2,X3) | 'Ts253'(X4,X5,X1,X0), inference(resolution, [status(thm)], [c97,d14])). % 34.03/4.88 cnf(d16, plain, ~ssItem(hd(sK255)) | ~neq(nil,sK255) | 'Ts253'(X0,X1,sK254,sK255), inference(resolution, [status(thm)], [d15,d7])). % 34.03/4.88 cnf(d17, plain, ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(resolution, [status(thm)], [d16,d7])). % 34.03/4.88 cnf(d18, plain, nil = sK255 | ~ssList(sK255) | ~ssList(nil) | ~ssItem(hd(sK255)), inference(resolution, [status(thm)], [c95,d17])). % 34.03/4.88 cnf(d19, plain, nil = sK255 | ~ssItem(hd(sK255)) | ~ssList(nil), inference(resolution, [status(thm)], [c209,d18])). % 34.03/4.88 cnf(d20, plain, nil = sK255 | ~ssItem(hd(sK255)), inference(resolution, [status(thm)], [c97,d19])). % 34.03/4.88 cnf(d21, plain, nil = sK255 | nil = sK255 | ~ssList(sK255), inference(resolution, [status(thm)], [d20,c105])). % 34.03/4.88 cnf(d22, plain, nil = sK255, inference(resolution, [status(thm)], [c209,d21])). % 34.03/4.88 cnf(d23, plain, neq(nil,nil), inference(demodulation, [status(thm)], [d6,d22])). % 34.03/4.88 cnf(d24, plain, ~ssList(nil), inference(resolution, [status(thm)], [d23,d0])). % 34.03/4.88 cnf(d25, plain, $false, inference(resolution, [status(thm)], [c97,d24])). % 34.03/4.88 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------