%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC229+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 : n002.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 08:54:41 AM UTC 2026 % Result : Theorem 35.46s 5.77s % Output : CNFRefutation 35.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC229+1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/0.35 % Computer : n002.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 26 12:36:50 UTC 2026 % 0.09/0.35 % CPUTime : % 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 35.46/5.77 % SZS status Theorem for theBenchmark.p % 35.46/5.77 % SZS output start CNFRefutation for theBenchmark.p % 35.46/5.77 fof(ax4, axiom, ! [X0] : ((ssList(X0) => (singletonP(X0) <=> ? [X1] : ((ssItem(X1) & cons(X1,nil) = X0)))))). % 35.46/5.77 fof(ax15, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (neq(X0,X1) <=> X0 != X1)))))). % 35.46/5.77 fof(ax17, axiom, ssList(nil)). % 35.46/5.77 fof(ax22, axiom, ! [X0] : ((ssList(X0) => (nil != X0 => ssItem(hd(X0)))))). % 35.46/5.77 fof(ax25, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => tl(cons(X1,X0)) = X0))))). % 35.46/5.77 fof(ax28, axiom, ! [X0] : ((ssList(X0) => app(nil,X0) = X0))). % 35.46/5.77 fof(ax38, axiom, ! [X0] : ((ssItem(X0) => ~memberP(nil,X0)))). % 35.46/5.77 fof(ax58, axiom, ! [X0] : ((ssList(X0) => (segmentP(nil,X0) <=> nil = X0)))). % 35.46/5.77 fof(ax75, axiom, ! [X0] : ((ssList(X0) => (nil != X0 => ? [X1] : ((ssItem(X1) & hd(X0) = X1)))))). % 35.46/5.77 fof(ax84, axiom, ! [X0] : ((ssList(X0) => app(X0,nil) = X0))). % 35.46/5.77 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (~segmentP(X3,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) | (~leq(X4,X7) | leq(X7,X4))))))))))))) | (~singletonP(X2) & neq(X3,nil)))))))))))))))). % 35.46/5.77 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (~segmentP(X3,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) | (~leq(X4,X7) | leq(X7,X4))))))))))))) | (~singletonP(X2) & neq(X3,nil))))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 35.46/5.77 cnf(c9, plain, ~ssList(X0) | ~singletonP(X0) | ssItem(sK11(X0)), inference(clausification, [status(esa)], [ax4])). % 35.46/5.77 cnf(c10, plain, ~ssList(X0) | ~singletonP(X0) | cons(sK11(X0),nil) = X0, inference(clausification, [status(esa)], [ax4])). % 35.46/5.77 cnf(c95, plain, ~ssList(X0) | ~ssList(X1) | neq(X0,X1) | X0 = X1, inference(clausification, [status(esa)], [ax15])). % 35.46/5.77 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 35.46/5.77 cnf(c105, plain, ~ssList(X0) | nil = X0 | ssItem(hd(X0)), inference(clausification, [status(esa)], [ax22])). % 35.46/5.77 cnf(c108, plain, ~ssList(X0) | ~ssItem(X1) | tl(cons(X1,X0)) = X0, inference(clausification, [status(esa)], [ax25])). % 35.46/5.77 cnf(c111, plain, ~ssList(X0) | app(nil,X0) = X0, inference(clausification, [status(esa)], [ax28])). % 35.46/5.77 cnf(c127, plain, ~ssItem(X0) | ~memberP(nil,X0), inference(clausification, [status(esa)], [ax38])). % 35.46/5.77 cnf(c151, plain, ~ssList(X0) | ~segmentP(nil,X0) | nil = X0, inference(clausification, [status(esa)], [ax58])). % 35.46/5.77 cnf(c181, plain, ~ssList(X0) | nil = X0 | ssItem(sK210(X0)), inference(clausification, [status(esa)], [ax75])). % 35.46/5.77 cnf(c182, plain, ~ssList(X0) | nil = X0 | hd(X0) = sK210(X0), inference(clausification, [status(esa)], [ax75])). % 35.46/5.77 cnf(c194, plain, ~ssList(X0) | app(X0,nil) = X0, inference(clausification, [status(esa)], [ax84])). % 35.46/5.77 cnf(c208, plain, ssList(sK254), inference(clausification, [status(esa)], [negated_conjecture])). % 35.46/5.77 cnf(c211, plain, ssList(sK257), inference(clausification, [status(esa)], [negated_conjecture])). % 35.46/5.77 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 35.46/5.77 cnf(c214, plain, segmentP(sK257,sK256), inference(clausification, [status(esa)], [negated_conjecture])). % 35.46/5.77 cnf(c215, plain, nil != sK254, inference(clausification, [status(esa)], [negated_conjecture])). % 35.46/5.77 cnf(c216, 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])). % 35.46/5.77 cnf(c217, plain, singletonP(sK256) | ~neq(sK257,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 35.46/5.77 cnf(c218, plain, X0(X1,X2,X3) | ssItem(sK261(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 35.46/5.77 cnf(c219, plain, X0(X1,X2,X3) | memberP(X3,sK261(X1,X2,X3)), inference(clausification, [status(esa)], [negated_conjecture])). % 35.46/5.77 cnf(d0, plain, ~neq(sK257,nil) | singletonP(sK254), inference(demodulation, [status(thm)], [c217,c213])). % 35.46/5.77 cnf(d1, plain, sK257 = nil | ~ssList(nil) | ~ssList(sK257) | singletonP(sK254), inference(resolution, [status(thm)], [c95,d0])). % 35.46/5.77 cnf(d2, plain, sK257 = nil | ~ssList(nil) | singletonP(sK254), inference(resolution, [status(thm)], [c211,d1])). % 35.46/5.77 cnf(d3, plain, sK257 = nil | singletonP(sK254), inference(resolution, [status(thm)], [c97,d2])). % 35.46/5.77 cnf(d4, plain, sK257 = nil | cons(sK11(sK254),nil) = sK254 | ~ssList(sK254), inference(resolution, [status(thm)], [d3,c10])). % 35.46/5.77 cnf(d5, plain, cons(sK11(sK254),nil) = sK254 | sK257 = nil, inference(resolution, [status(thm)], [c208,d4])). % 35.46/5.77 cnf(d6, plain, app(app(X0,sK254),X1) != sK254 | ~ssItem(sK11(sK254)) | ~ssList(X1) | ~ssList(X0) | ~'Ts253'(X1,sK11(sK254),X0) | sK257 = nil, inference(superposition, [status(thm)], [d5,c216])). % 35.46/5.77 cnf(d7, plain, app(nil,sK254) = sK254, inference(resolution, [status(thm)], [c111,c208])). % 35.46/5.77 cnf(d8, plain, app(sK254,X0) != sK254 | sK257 = nil | ~ssItem(sK11(sK254)) | ~ssList(X0) | ~ssList(nil) | ~'Ts253'(X0,sK11(sK254),nil), inference(superposition, [status(thm)], [d7,d6])). % 35.46/5.77 cnf(d9, plain, app(sK254,X0) != sK254 | sK257 = nil | ~ssItem(sK11(sK254)) | ~ssList(X0) | ~'Ts253'(X0,sK11(sK254),nil), inference(resolution, [status(thm)], [c97,d8])). % 35.46/5.77 cnf(d10, plain, ~ssItem(sK261(X0,X1,nil)) | 'Ts253'(X0,X1,nil), inference(resolution, [status(thm)], [c127,c219])). % 35.46/5.77 cnf(d11, plain, 'Ts253'(X0,X1,nil) | 'Ts253'(X0,X1,nil), inference(resolution, [status(thm)], [d10,c218])). % 35.46/5.77 cnf(d12, plain, app(sK254,X0) != sK254 | sK257 = nil | ~ssItem(sK11(sK254)) | ~ssList(X0), inference(resolution, [status(thm)], [d11,d9])). % 35.46/5.77 cnf(d13, plain, app(sK254,nil) = sK254, inference(resolution, [status(thm)], [c194,c208])). % 35.46/5.77 cnf(d14, plain, sK254 != sK254 | sK257 = nil | ~ssItem(sK11(sK254)) | ~ssList(nil), inference(superposition, [status(thm)], [d13,d12])). % 35.46/5.77 cnf(d15, plain, sK254 != sK254 | sK257 = nil | ~ssItem(sK11(sK254)), inference(resolution, [status(thm)], [c97,d14])). % 35.46/5.77 cnf(d16, plain, tl(cons(X0,sK254)) = sK254 | ~ssItem(X0), inference(resolution, [status(thm)], [c108,c208])). % 35.46/5.77 cnf(d17, plain, tl(cons(hd(X0),sK254)) = sK254 | nil = X0 | ~ssList(X0), inference(resolution, [status(thm)], [d16,c105])). % 35.46/5.77 cnf(d18, plain, nil = sK254 | tl(cons(hd(sK254),sK254)) = sK254, inference(resolution, [status(thm)], [d17,c208])). % 35.46/5.77 cnf(d19, plain, tl(cons(hd(sK254),sK254)) = sK254, inference(resolution, [status(thm)], [c215,d18])). % 35.46/5.77 cnf(d20, plain, nil = sK254 | hd(sK254) = sK210(sK254), inference(resolution, [status(thm)], [c182,c208])). % 35.46/5.77 cnf(d21, plain, hd(sK254) = sK210(sK254), inference(resolution, [status(thm)], [c215,d20])). % 35.46/5.77 cnf(d22, plain, nil = X0 | ~ssList(X0) | tl(cons(sK210(X0),sK254)) = sK254, inference(resolution, [status(thm)], [c181,d16])). % 35.46/5.77 cnf(d23, plain, nil = sK254 | tl(cons(sK210(sK254),sK254)) = sK254, inference(resolution, [status(thm)], [d22,c208])). % 35.46/5.77 cnf(d24, plain, nil = sK254 | tl(cons(hd(sK254),sK254)) = sK254, inference(demodulation, [status(thm)], [d23,d21])). % 35.46/5.77 cnf(d25, plain, nil = sK254 | sK254 = sK254, inference(demodulation, [status(thm)], [d24,d19])). % 35.46/5.77 cnf(d26, plain, sK254 = sK254, inference(resolution, [status(thm)], [c215,d25])). % 35.46/5.77 cnf(d27, plain, sK257 = nil | ~ssItem(sK11(sK254)), inference(resolution, [status(thm)], [d26,d15])). % 35.46/5.77 cnf(d28, plain, sK257 = nil | ~ssList(sK254) | ~singletonP(sK254), inference(resolution, [status(thm)], [d27,c9])). % 35.46/5.77 cnf(d29, plain, sK257 = nil | ~singletonP(sK254), inference(resolution, [status(thm)], [c208,d28])). % 35.46/5.77 cnf(d30, plain, sK257 = nil | sK257 = nil, inference(resolution, [status(thm)], [d29,d3])). % 35.46/5.77 cnf(d31, plain, segmentP(sK257,sK254), inference(demodulation, [status(thm)], [c214,c213])). % 35.46/5.77 cnf(d32, plain, segmentP(nil,sK254), inference(demodulation, [status(thm)], [d31,d30])). % 35.46/5.77 cnf(d33, plain, nil = sK254 | ~ssList(sK254), inference(resolution, [status(thm)], [d32,c151])). % 35.46/5.77 cnf(d34, plain, nil = sK254, inference(resolution, [status(thm)], [c208,d33])). % 35.46/5.77 cnf(d35, plain, $false, inference(resolution, [status(thm)], [c215,d34])). % 35.46/5.77 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------