%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC379+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 : n020.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 08:55:11 AM UTC 2026 % Result : Theorem 25.64s 8.79s % Output : CNFRefutation 25.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SWC379+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 % 0.17/5.45 % Computer : n020.cluster.edu % 0.17/5.45 % Model : x86_64 x86_64 % 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/5.45 % Memory : 8046.5625MB % 0.17/5.45 % OS : Linux 6.8.0-71-generic % 0.17/5.45 % CPULimit : 300 % 0.17/5.45 % WCLimit : 300 % 0.17/5.45 % DateTime : Sat Sep 26 12:55:56 UTC 2026 % 0.17/5.45 % CPUTime : % 0.17/5.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 25.64/8.79 % SZS status Theorem for theBenchmark.p % 25.64/8.79 % SZS output start CNFRefutation for theBenchmark.p % 25.64/8.79 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (? [X4] : ((ssItem(X4) & ((~memberP(X2,X4) & (! [X5] : ((ssItem(X5) => (~memberP(X3,X5) | (~leq(X5,X4) | X4 = X5)))) & memberP(X3,X4))) | (memberP(X2,X4) & (~memberP(X3,X4) | ? [X5] : ((ssItem(X5) & (X4 != X5 & (memberP(X3,X5) & leq(X5,X4)))))))))) | ! [X6] : ((ssItem(X6) => ((~memberP(X0,X6) & (~memberP(X1,X6) | ? [X7] : ((ssItem(X7) & (X6 != X7 & (memberP(X1,X7) & leq(X7,X6))))))) | (! [X7] : ((ssItem(X7) => (~memberP(X1,X7) | (~leq(X7,X6) | X6 = X7)))) & (memberP(X1,X6) & memberP(X0,X6)))))))))))))))))). % 25.64/8.79 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (? [X4] : ((ssItem(X4) & ((~memberP(X2,X4) & (! [X5] : ((ssItem(X5) => (~memberP(X3,X5) | (~leq(X5,X4) | X4 = X5)))) & memberP(X3,X4))) | (memberP(X2,X4) & (~memberP(X3,X4) | ? [X5] : ((ssItem(X5) & (X4 != X5 & (memberP(X3,X5) & leq(X5,X4)))))))))) | ! [X6] : ((ssItem(X6) => ((~memberP(X0,X6) & (~memberP(X1,X6) | ? [X7] : ((ssItem(X7) & (X6 != X7 & (memberP(X1,X7) & leq(X7,X6))))))) | (! [X7] : ((ssItem(X7) => (~memberP(X1,X7) | (~leq(X7,X6) | X6 = X7)))) & (memberP(X1,X6) & memberP(X0,X6))))))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 25.64/8.79 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c214, plain, ~ssItem(X0) | ~X1(sK256,sK257,X0), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c215, plain, ssItem(sK259), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c216, plain, memberP(sK254,sK259) | memberP(sK255,sK259), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c217, plain, ~ssItem(X0) | memberP(sK254,sK259) | ~leq(X0,sK259) | ~memberP(sK255,X0) | sK259 = X0, inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c218, plain, ssItem(sK261) | ~memberP(sK255,sK259) | ~memberP(sK254,sK259), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c219, plain, memberP(sK255,sK261) | ~memberP(sK255,sK259) | ~memberP(sK254,sK259), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c220, plain, leq(sK261,sK259) | ~memberP(sK255,sK259) | ~memberP(sK254,sK259), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c221, plain, sK259 != sK261 | ~memberP(sK255,sK259) | ~memberP(sK254,sK259), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c222, plain, X0(X1,X2,X3) | memberP(X1,X3) | ssItem(sK262(X2,X3)) | ~memberP(X2,X3), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c223, plain, X0(X1,X2,X3) | memberP(X1,X3) | memberP(X2,sK262(X2,X3)) | ~memberP(X2,X3), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c224, plain, X0(X1,X2,X3) | memberP(X1,X3) | leq(sK262(X2,X3),X3) | ~memberP(X2,X3), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c225, plain, X0(X1,X2,X3) | memberP(X1,X3) | X3 != sK262(X2,X3) | ~memberP(X2,X3), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c226, plain, X0(X1,X2,X3) | ~memberP(X1,X3) | memberP(X2,X3), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(c227, plain, ~leq(X0,X1) | X1 = X0 | ~memberP(X2,X0) | ~ssItem(X0) | X3(X4,X2,X1) | ~memberP(X4,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 25.64/8.79 cnf(d0, plain, ~ssItem(X0) | ~'Ts253'(sK254,sK257,X0), inference(demodulation, [status(thm)], [c214,c213])). % 25.64/8.79 cnf(d1, plain, ~ssItem(X0) | ~'Ts253'(sK254,sK255,X0), inference(demodulation, [status(thm)], [d0,c212])). % 25.64/8.79 cnf(d2, plain, ssItem(sK262(sK255,X0)) | memberP(sK254,X0) | ~memberP(sK255,X0) | ~ssItem(X0), inference(resolution, [status(thm)], [c222,d1])). % 25.64/8.79 cnf(d3, plain, memberP(sK254,X0) | ~memberP(sK255,X0) | memberP(sK255,sK262(sK255,X0)) | ~ssItem(X0), inference(resolution, [status(thm)], [c223,d1])). % 25.64/8.79 cnf(d4, plain, memberP(sK254,X0) | ~memberP(sK255,X0) | leq(sK262(sK255,X0),X0) | ~ssItem(X0), inference(resolution, [status(thm)], [c224,d1])). % 25.64/8.79 cnf(d5, plain, ~ssItem(sK259) | memberP(sK254,sK259) | ~memberP(sK255,sK259) | sK259 = sK262(sK255,sK259) | ~ssItem(sK262(sK255,sK259)) | memberP(sK254,sK259) | ~memberP(sK255,sK262(sK255,sK259)), inference(resolution, [status(thm)], [d4,c217])). % 25.64/8.79 cnf(d6, plain, sK259 = sK262(sK255,sK259) | ~ssItem(sK262(sK255,sK259)) | memberP(sK254,sK259) | ~memberP(sK255,sK259) | ~memberP(sK255,sK262(sK255,sK259)), inference(resolution, [status(thm)], [c215,d5])). % 25.64/8.79 cnf(d7, plain, memberP(sK255,X0) | ~memberP(sK254,X0) | ~ssItem(X0), inference(resolution, [status(thm)], [c226,d1])). % 25.64/8.79 cnf(d8, plain, ~ssItem(sK259) | memberP(sK255,sK259) | memberP(sK255,sK259), inference(resolution, [status(thm)], [d7,c216])). % 25.64/8.79 cnf(d9, plain, memberP(sK255,sK259), inference(resolution, [status(thm)], [c215,d8])). % 25.64/8.79 cnf(d10, plain, sK259 = sK262(sK255,sK259) | ~ssItem(sK262(sK255,sK259)) | memberP(sK254,sK259) | ~memberP(sK255,sK262(sK255,sK259)), inference(resolution, [status(thm)], [d9,d6])). % 25.64/8.79 cnf(d11, plain, sK259 = sK262(sK255,sK259) | ~ssItem(sK262(sK255,sK259)) | memberP(sK254,sK259) | ~ssItem(sK259) | memberP(sK254,sK259) | ~memberP(sK255,sK259), inference(resolution, [status(thm)], [d10,d3])). % 25.64/8.79 cnf(d12, plain, sK259 = sK262(sK255,sK259) | ~ssItem(sK262(sK255,sK259)) | memberP(sK254,sK259) | ~memberP(sK255,sK259), inference(resolution, [status(thm)], [c215,d11])). % 25.64/8.79 cnf(d13, plain, sK259 = sK262(sK255,sK259) | ~ssItem(sK262(sK255,sK259)) | memberP(sK254,sK259), inference(resolution, [status(thm)], [d9,d12])). % 25.64/8.79 cnf(d14, plain, sK259 = sK262(sK255,sK259) | memberP(sK254,sK259) | ~ssItem(sK259) | memberP(sK254,sK259) | ~memberP(sK255,sK259), inference(resolution, [status(thm)], [d13,d2])). % 25.64/8.79 cnf(d15, plain, sK259 = sK262(sK255,sK259) | memberP(sK254,sK259) | ~memberP(sK255,sK259), inference(resolution, [status(thm)], [c215,d14])). % 25.64/8.79 cnf(d16, plain, sK259 = sK262(sK255,sK259) | memberP(sK254,sK259), inference(resolution, [status(thm)], [d9,d15])). % 25.64/8.79 cnf(d17, plain, sK259 != sK261 | ~memberP(sK254,sK259), inference(resolution, [status(thm)], [d9,c221])). % 25.64/8.79 cnf(d18, plain, ssItem(sK261) | ~memberP(sK254,sK259), inference(resolution, [status(thm)], [d9,c218])). % 25.64/8.79 cnf(d19, plain, sK259 = sK262(sK255,sK259) | ssItem(sK261), inference(resolution, [status(thm)], [d16,d18])). % 25.64/8.79 cnf(d20, plain, ~memberP(sK254,sK259) | memberP(sK255,sK261), inference(resolution, [status(thm)], [d9,c219])). % 25.64/8.79 cnf(d21, plain, sK259 = sK262(sK255,sK259) | memberP(sK255,sK261), inference(resolution, [status(thm)], [d16,d20])). % 25.64/8.79 cnf(d22, plain, ~memberP(sK254,sK259) | leq(sK261,sK259), inference(resolution, [status(thm)], [d9,c220])). % 25.64/8.79 cnf(d23, plain, sK259 = sK262(sK255,sK259) | leq(sK261,sK259), inference(resolution, [status(thm)], [d16,d22])). % 25.64/8.79 cnf(d24, plain, sK259 = sK262(sK255,sK259) | sK259 = sK261 | ~ssItem(sK261) | ~memberP(X0,sK259) | ~memberP(X1,sK261) | 'Ts253'(X0,X1,sK259), inference(resolution, [status(thm)], [d23,c227])). % 25.64/8.79 cnf(d25, plain, sK259 = sK261 | sK259 = sK262(sK255,sK259) | ~ssItem(sK261) | ~memberP(sK255,sK261) | ~memberP(sK254,sK259) | ~ssItem(sK259), inference(resolution, [status(thm)], [d24,d1])). % 25.64/8.79 cnf(d26, plain, sK259 = sK261 | sK259 = sK262(sK255,sK259) | ~ssItem(sK261) | ~memberP(sK254,sK259) | ~memberP(sK255,sK261), inference(resolution, [status(thm)], [c215,d25])). % 25.64/8.79 cnf(d27, plain, sK259 = sK261 | sK259 = sK262(sK255,sK259) | ~ssItem(sK261) | ~memberP(sK254,sK259) | sK259 = sK262(sK255,sK259), inference(resolution, [status(thm)], [d26,d21])). % 25.64/8.79 cnf(d28, plain, sK259 = sK261 | sK259 = sK262(sK255,sK259) | ~ssItem(sK261) | sK259 = sK262(sK255,sK259), inference(resolution, [status(thm)], [d27,d16])). % 25.64/8.79 cnf(d29, plain, sK259 = sK261 | sK259 = sK262(sK255,sK259) | sK259 = sK262(sK255,sK259), inference(resolution, [status(thm)], [d28,d19])). % 25.64/8.79 cnf(d30, plain, sK259 != sK259 | memberP(X0,sK259) | ~memberP(sK255,sK259) | 'Ts253'(X0,sK255,sK259) | sK259 = sK261, inference(superposition, [status(thm)], [d29,c225])). % 25.64/8.79 cnf(d31, plain, sK259 != sK259 | sK259 = sK261 | memberP(X0,sK259) | 'Ts253'(X0,sK255,sK259), inference(resolution, [status(thm)], [d9,d30])). % 25.64/8.79 cnf(d32, plain, sK259 = sK261 | memberP(X0,sK259) | 'Ts253'(X0,sK255,sK259), inference(equality_resolution, [status(thm)], [d31])). % 25.64/8.79 cnf(d33, plain, sK259 = sK261 | memberP(sK254,sK259) | ~ssItem(sK259), inference(resolution, [status(thm)], [d32,d1])). % 25.64/8.79 cnf(d34, plain, sK259 = sK261 | memberP(sK254,sK259), inference(resolution, [status(thm)], [c215,d33])). % 25.64/8.79 cnf(d35, plain, sK259 = sK261 | ssItem(sK261), inference(resolution, [status(thm)], [d34,d18])). % 25.64/8.79 cnf(d36, plain, sK259 = sK261 | memberP(sK255,sK261), inference(resolution, [status(thm)], [d34,d20])). % 25.64/8.79 cnf(d37, plain, sK259 = sK261 | leq(sK261,sK259), inference(resolution, [status(thm)], [d34,d22])). % 25.64/8.79 cnf(d38, plain, sK259 = sK261 | sK259 = sK261 | ~ssItem(sK261) | ~memberP(X0,sK259) | ~memberP(X1,sK261) | 'Ts253'(X0,X1,sK259), inference(resolution, [status(thm)], [d37,c227])). % 25.64/8.79 cnf(d39, plain, sK259 = sK261 | ~ssItem(sK261) | ~memberP(sK255,sK261) | ~memberP(sK254,sK259) | ~ssItem(sK259), inference(resolution, [status(thm)], [d38,d1])). % 25.64/8.79 cnf(d40, plain, sK259 = sK261 | ~ssItem(sK261) | ~memberP(sK254,sK259) | ~memberP(sK255,sK261), inference(resolution, [status(thm)], [c215,d39])). % 25.64/8.79 cnf(d41, plain, sK259 = sK261 | ~ssItem(sK261) | ~memberP(sK254,sK259) | sK259 = sK261, inference(resolution, [status(thm)], [d40,d36])). % 25.64/8.79 cnf(d42, plain, sK259 = sK261 | ~ssItem(sK261) | sK259 = sK261, inference(resolution, [status(thm)], [d41,d34])). % 25.64/8.79 cnf(d43, plain, sK259 = sK261 | sK259 = sK261, inference(resolution, [status(thm)], [d42,d35])). % 25.64/8.79 cnf(d44, plain, ~memberP(sK254,sK259), inference(resolution, [status(thm)], [d43,d17])). % 25.64/8.79 cnf(d45, plain, sK259 = sK262(sK255,sK259), inference(resolution, [status(thm)], [d44,d16])). % 25.64/8.79 cnf(d46, plain, sK259 != sK259 | memberP(X0,sK259) | ~memberP(sK255,sK259) | 'Ts253'(X0,sK255,sK259), inference(superposition, [status(thm)], [d45,c225])). % 25.64/8.79 cnf(d47, plain, sK259 != sK259 | memberP(X0,sK259) | 'Ts253'(X0,sK255,sK259), inference(resolution, [status(thm)], [d9,d46])). % 25.64/8.79 cnf(d48, plain, memberP(X0,sK259) | 'Ts253'(X0,sK255,sK259), inference(equality_resolution, [status(thm)], [d47])). % 25.64/8.79 cnf(d49, plain, memberP(sK254,sK259) | ~ssItem(sK259), inference(resolution, [status(thm)], [d48,d1])). % 25.64/8.79 cnf(d50, plain, memberP(sK254,sK259), inference(resolution, [status(thm)], [c215,d49])). % 25.64/8.79 cnf(d51, plain, $false, inference(resolution, [status(thm)], [d44,d50])). % 25.64/8.79 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------