%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC198+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 : n003.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 08:54:34 AM UTC 2026 % Result : Theorem 72.97s 44.38s % Output : CNFRefutation 72.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : SWC198+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 % 0.08/0.34 % Computer : n003.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.34 % DateTime : Sat Sep 26 12:31:38 UTC 2026 % 0.08/0.34 % CPUTime : % 0.08/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 72.97/44.38 % SZS status Theorem for theBenchmark.p % 72.97/44.38 % SZS output start CNFRefutation for theBenchmark.p % 72.97/44.38 fof(ax2, axiom, ? [X0] : ((ssItem(X0) & ? [X1] : ((ssItem(X1) & X0 != X1))))). % 72.97/44.38 fof(ax4, axiom, ! [X0] : ((ssList(X0) => (singletonP(X0) <=> ? [X1] : ((ssItem(X1) & cons(X1,nil) = X0)))))). % 72.97/44.38 fof(ax6, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (rearsegP(X0,X1) <=> ? [X2] : ((ssList(X2) & app(X2,X1) = X0)))))))). % 72.97/44.38 fof(ax17, axiom, ssList(nil)). % 72.97/44.38 fof(ax19, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssItem(X2) => ! [X3] : ((ssItem(X3) => (cons(X2,X0) = cons(X3,X1) => (X2 = X3 & X1 = X0))))))))))). % 72.97/44.38 fof(ax23, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => hd(cons(X1,X0)) = X1))))). % 72.97/44.38 fof(ax24, axiom, ! [X0] : ((ssList(X0) => (nil != X0 => ssList(tl(X0)))))). % 72.97/44.38 fof(ax25, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => tl(cons(X1,X0)) = X0))))). % 72.97/44.38 fof(ax26, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ssList(app(X0,X1))))))). % 72.97/44.38 fof(ax28, axiom, ! [X0] : ((ssList(X0) => app(nil,X0) = X0))). % 72.97/44.38 fof(ax37, axiom, ! [X0] : ((ssItem(X0) => ! [X1] : ((ssItem(X1) => ! [X2] : ((ssList(X2) => (memberP(cons(X1,X2),X0) <=> (X0 = X1 | memberP(X2,X0)))))))))). % 72.97/44.38 fof(ax38, axiom, ! [X0] : ((ssItem(X0) => ~memberP(nil,X0)))). % 72.97/44.38 fof(ax49, axiom, ! [X0] : ((ssList(X0) => rearsegP(X0,X0)))). % 72.97/44.38 fof(ax50, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => (rearsegP(X0,X1) => rearsegP(app(X2,X0),X1))))))))). % 72.97/44.38 fof(ax51, axiom, ! [X0] : ((ssList(X0) => rearsegP(X0,nil)))). % 72.97/44.38 fof(ax75, axiom, ! [X0] : ((ssList(X0) => (nil != X0 => ? [X1] : ((ssItem(X1) & hd(X0) = X1)))))). % 72.97/44.38 fof(ax76, axiom, ! [X0] : ((ssList(X0) => (nil != X0 => ? [X1] : ((ssList(X1) & tl(X0) = X1)))))). % 72.97/44.38 fof(ax78, axiom, ! [X0] : ((ssList(X0) => (nil != X0 => cons(hd(X0),tl(X0)) = X0)))). % 72.97/44.38 fof(ax84, axiom, ! [X0] : ((ssList(X0) => app(X0,nil) = X0))). % 72.97/44.38 fof(co1, conjecture, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (? [X4] : ((ssItem(X4) & ! [X5] : ((ssItem(X5) => (~memberP(X0,X5) | X4 = X5))))) | (! [X6] : ((ssItem(X6) => (cons(X6,nil) != X2 | (~memberP(X3,X6) | ? [X7] : ((ssItem(X7) & (X6 != X7 & (memberP(X3,X7) & leq(X6,X7))))))))) & (nil != X3 | nil != X2)))))))))))))). % 72.97/44.38 fof(negated_conjecture, negated_conjecture, ~! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => ! [X3] : ((ssList(X3) => (X1 != X3 | (X0 != X2 | (? [X4] : ((ssItem(X4) & ! [X5] : ((ssItem(X5) => (~memberP(X0,X5) | X4 = X5))))) | (! [X6] : ((ssItem(X6) => (cons(X6,nil) != X2 | (~memberP(X3,X6) | ? [X7] : ((ssItem(X7) & (X6 != X7 & (memberP(X3,X7) & leq(X6,X7))))))))) & (nil != X3 | nil != X2))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 72.97/44.38 cnf(c3, plain, ssItem(sK3), inference(clausification, [status(esa)], [ax2])). % 72.97/44.38 cnf(c9, plain, ~ssList(X0) | ~singletonP(X0) | ssItem(sK11(X0)), inference(clausification, [status(esa)], [ax4])). % 72.97/44.38 cnf(c10, plain, ~ssList(X0) | ~singletonP(X0) | cons(sK11(X0),nil) = X0, inference(clausification, [status(esa)], [ax4])). % 72.97/44.38 cnf(c11, plain, ~ssList(X0) | singletonP(X0) | ~ssItem(X1) | cons(X1,nil) != X0, inference(clausification, [status(esa)], [ax4])). % 72.97/44.38 cnf(c16, plain, ~ssList(X0) | ~ssList(X1) | ~rearsegP(X0,X1) | app(sK19(X0,X1),X1) = X0, inference(clausification, [status(esa)], [ax6])). % 72.97/44.38 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 72.97/44.38 cnf(c99, plain, ~ssList(X0) | ~ssItem(X1) | cons(X1,X0) != cons(X2,X3) | ~ssItem(X2) | X1 = X2 | ~ssList(X3), inference(clausification, [status(esa)], [ax19])). % 72.97/44.38 cnf(c106, plain, ~ssList(X0) | ~ssItem(X1) | hd(cons(X1,X0)) = X1, inference(clausification, [status(esa)], [ax23])). % 72.97/44.38 cnf(c107, plain, ~ssList(X0) | nil = X0 | ssList(tl(X0)), inference(clausification, [status(esa)], [ax24])). % 72.97/44.38 cnf(c108, plain, ~ssList(X0) | ~ssItem(X1) | tl(cons(X1,X0)) = X0, inference(clausification, [status(esa)], [ax25])). % 72.97/44.38 cnf(c109, plain, ~ssList(X0) | ~ssList(X1) | ssList(app(X0,X1)), inference(clausification, [status(esa)], [ax26])). % 72.97/44.38 cnf(c111, plain, ~ssList(X0) | app(nil,X0) = X0, inference(clausification, [status(esa)], [ax28])). % 72.97/44.38 cnf(c124, plain, ~memberP(cons(X0,X1),X2) | X2 = X0 | ~ssList(X1) | ~ssItem(X0) | ~ssItem(X2) | memberP(X1,X2), inference(clausification, [status(esa)], [ax37])). % 72.97/44.38 cnf(c127, plain, ~ssItem(X0) | ~memberP(nil,X0), inference(clausification, [status(esa)], [ax38])). % 72.97/44.38 cnf(c141, plain, ~ssList(X0) | rearsegP(X0,X0), inference(clausification, [status(esa)], [ax49])). % 72.97/44.38 cnf(c142, plain, ~ssList(X0) | ~ssList(X1) | ~ssList(X2) | rearsegP(app(X1,X2),X0) | ~rearsegP(X2,X0), inference(clausification, [status(esa)], [ax50])). % 72.97/44.38 cnf(c143, plain, ~ssList(X0) | rearsegP(X0,nil), inference(clausification, [status(esa)], [ax51])). % 72.97/44.38 cnf(c181, plain, ~ssList(X0) | nil = X0 | ssItem(sK210(X0)), inference(clausification, [status(esa)], [ax75])). % 72.97/44.38 cnf(c182, plain, ~ssList(X0) | nil = X0 | hd(X0) = sK210(X0), inference(clausification, [status(esa)], [ax75])). % 72.97/44.38 cnf(c183, plain, ~ssList(X0) | nil = X0 | ssList(sK212(X0)), inference(clausification, [status(esa)], [ax76])). % 72.97/44.38 cnf(c184, plain, ~ssList(X0) | nil = X0 | tl(X0) = sK212(X0), inference(clausification, [status(esa)], [ax76])). % 72.97/44.38 cnf(c186, plain, ~ssList(X0) | nil = X0 | cons(hd(X0),tl(X0)) = X0, inference(clausification, [status(esa)], [ax78])). % 72.97/44.38 cnf(c194, plain, ~ssList(X0) | app(X0,nil) = X0, inference(clausification, [status(esa)], [ax84])). % 72.97/44.38 cnf(c210, plain, ssList(sK256), inference(clausification, [status(esa)], [negated_conjecture])). % 72.97/44.38 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 72.97/44.38 cnf(c214, plain, ~ssItem(X0) | ssItem(sK259(X0)), inference(clausification, [status(esa)], [negated_conjecture])). % 72.97/44.38 cnf(c215, plain, ~ssItem(X0) | memberP(sK254,sK259(X0)), inference(clausification, [status(esa)], [negated_conjecture])). % 72.97/44.38 cnf(c216, plain, ~ssItem(X0) | X0 != sK259(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 72.97/44.38 cnf(c218, plain, ~X0(sK256,sK257) | nil = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 72.97/44.38 cnf(c219, plain, X0(X1,X2) | ssItem(sK260(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 72.97/44.38 cnf(c220, plain, X0(X1,X2) | cons(sK260(X1,X2),nil) = X1, inference(clausification, [status(esa)], [negated_conjecture])). % 72.97/44.38 cnf(d0, plain, hd(cons(X0,nil)) = X0 | ~ssItem(X0), inference(resolution, [status(thm)], [c106,c97])). % 72.97/44.38 cnf(d1, plain, hd(cons(sK210(X0),nil)) = sK210(X0) | nil = X0 | ~ssList(X0), inference(resolution, [status(thm)], [d0,c181])). % 72.97/44.38 cnf(d2, plain, nil = sK256 | hd(cons(sK210(sK256),nil)) = sK210(sK256), inference(resolution, [status(thm)], [d1,c210])). % 72.97/44.38 cnf(d3, plain, nil = sK256 | hd(sK256) = sK210(sK256), inference(resolution, [status(thm)], [c182,c210])). % 72.97/44.38 cnf(d4, plain, hd(cons(hd(sK256),nil)) = sK210(sK256) | nil = sK256 | nil = sK256, inference(superposition, [status(thm)], [d3,d2])). % 72.97/44.38 cnf(d5, plain, hd(cons(sK260(X0,X1),nil)) = sK260(X0,X1) | 'Ts253'(X0,X1), inference(resolution, [status(thm)], [d0,c219])). % 72.97/44.38 cnf(d6, plain, hd(cons(sK260(sK256,sK257),nil)) = sK260(sK256,sK257) | nil = sK256, inference(resolution, [status(thm)], [d5,c218])). % 72.97/44.38 cnf(d7, plain, cons(sK260(sK256,sK257),nil) = sK256 | nil = sK256, inference(resolution, [status(thm)], [c220,c218])). % 72.97/44.38 cnf(d8, plain, hd(sK256) = sK260(sK256,sK257) | nil = sK256 | nil = sK256, inference(superposition, [status(thm)], [d7,d6])). % 72.97/44.38 cnf(d9, plain, hd(cons(hd(sK256),nil)) = sK260(sK256,sK257) | nil = sK256 | nil = sK256, inference(superposition, [status(thm)], [d8,d6])). % 72.97/44.38 cnf(d10, plain, sK260(sK256,sK257) = sK210(sK256) | nil = sK256 | nil = sK256, inference(superposition, [status(thm)], [d9,d4])). % 72.97/44.38 cnf(d11, plain, ssItem(sK210(sK256)) | 'Ts253'(sK256,sK257) | nil = sK256, inference(superposition, [status(thm)], [d10,c219])). % 72.97/44.38 cnf(d12, plain, nil = sK256 | nil = sK256 | ssItem(sK210(sK256)), inference(resolution, [status(thm)], [c218,d11])). % 72.97/44.38 cnf(d13, plain, hd(cons(X0,sK256)) = X0 | ~ssItem(X0), inference(resolution, [status(thm)], [c106,c210])). % 72.97/44.38 cnf(d14, plain, nil = X0 | ~ssList(X0) | hd(cons(sK210(X0),sK256)) = sK210(X0), inference(resolution, [status(thm)], [c181,d13])). % 72.97/44.38 cnf(d15, plain, nil = sK256 | hd(cons(sK210(sK256),sK256)) = sK210(sK256), inference(resolution, [status(thm)], [d14,c210])). % 72.97/44.38 cnf(d16, plain, hd(cons(hd(sK256),sK256)) = sK210(sK256) | nil = sK256 | nil = sK256, inference(superposition, [status(thm)], [d3,d15])). % 72.97/44.38 cnf(d17, plain, sK256 != X0 | ~ssItem(sK260(sK256,sK257)) | ~ssList(X0) | singletonP(X0) | nil = sK256, inference(superposition, [status(thm)], [d7,c11])). % 72.97/44.38 cnf(d18, plain, nil = sK256 | ~ssItem(sK260(sK256,sK257)) | ~ssList(sK256) | singletonP(sK256), inference(equality_resolution, [status(thm)], [d17])). % 72.97/44.38 cnf(d19, plain, nil = sK256 | ~ssItem(sK260(sK256,sK257)) | singletonP(sK256), inference(resolution, [status(thm)], [c210,d18])). % 72.97/44.38 cnf(d20, plain, nil = sK256 | singletonP(sK256) | 'Ts253'(sK256,sK257), inference(resolution, [status(thm)], [d19,c219])). % 72.97/44.38 cnf(d21, plain, nil = sK256 | nil = sK256 | singletonP(sK256), inference(resolution, [status(thm)], [c218,d20])). % 72.97/44.38 cnf(d22, plain, hd(cons(sK11(X0),sK256)) = sK11(X0) | ~ssList(X0) | ~singletonP(X0), inference(resolution, [status(thm)], [d13,c9])). % 72.97/44.38 cnf(d23, plain, hd(cons(sK11(sK256),sK256)) = sK11(sK256) | ~ssList(sK256) | nil = sK256, inference(resolution, [status(thm)], [d22,d21])). % 72.97/44.38 cnf(d24, plain, nil = sK256 | hd(cons(sK11(sK256),sK256)) = sK11(sK256), inference(resolution, [status(thm)], [c210,d23])). % 72.97/44.38 cnf(d25, plain, nil = sK256 | cons(sK11(sK256),nil) = sK256 | ~ssList(sK256), inference(resolution, [status(thm)], [d21,c10])). % 72.97/44.38 cnf(d26, plain, cons(sK11(sK256),nil) = sK256 | nil = sK256, inference(resolution, [status(thm)], [c210,d25])). % 72.97/44.38 cnf(d27, plain, cons(X0,X1) != sK256 | X0 = sK11(sK256) | ~ssItem(sK11(sK256)) | ~ssItem(X0) | ~ssList(nil) | ~ssList(X1) | nil = sK256, inference(superposition, [status(thm)], [d26,c99])). % 72.97/44.38 cnf(d28, plain, X0 = sK11(sK256) | cons(X0,X1) != sK256 | nil = sK256 | ~ssItem(X0) | ~ssItem(sK11(sK256)) | ~ssList(X1), inference(resolution, [status(thm)], [c97,d27])). % 72.97/44.38 cnf(d29, plain, cons(hd(sK256),tl(sK256)) = sK256 | nil = sK256, inference(resolution, [status(thm)], [c186,c210])). % 72.97/44.38 cnf(d30, plain, sK256 != sK256 | hd(sK256) = sK11(sK256) | nil = sK256 | ~ssItem(hd(sK256)) | ~ssItem(sK11(sK256)) | ~ssList(tl(sK256)) | nil = sK256, inference(superposition, [status(thm)], [d29,d28])). % 72.97/44.38 cnf(d31, plain, ~ssList(X0) | app(sK19(X0,nil),nil) = X0 | ~ssList(X0) | ~ssList(nil), inference(resolution, [status(thm)], [c143,c16])). % 72.97/44.38 cnf(d32, plain, app(sK19(X0,nil),nil) = X0 | ~ssList(X0), inference(resolution, [status(thm)], [c97,d31])). % 72.97/44.38 cnf(d33, plain, app(sK19(sK256,nil),nil) = sK256, inference(resolution, [status(thm)], [d32,c210])). % 72.97/44.38 cnf(d34, plain, app(sK256,nil) = sK256, inference(resolution, [status(thm)], [c194,c210])). % 72.97/44.38 cnf(d35, plain, rearsegP(sK256,X0) | ~ssList(sK256) | ~ssList(nil) | ~ssList(X0) | ~rearsegP(nil,X0), inference(superposition, [status(thm)], [d34,c142])). % 72.97/44.38 cnf(d36, plain, ~ssList(X0) | ~ssList(nil) | ~rearsegP(nil,X0) | rearsegP(sK256,X0), inference(resolution, [status(thm)], [c210,d35])). % 72.97/44.38 cnf(d37, plain, ~ssList(X0) | ~rearsegP(nil,X0) | rearsegP(sK256,X0), inference(resolution, [status(thm)], [c97,d36])). % 72.97/44.38 cnf(d38, plain, ~ssList(nil) | rearsegP(sK256,nil) | ~ssList(nil), inference(resolution, [status(thm)], [d37,c141])). % 72.97/44.38 cnf(d39, plain, rearsegP(sK256,nil), inference(resolution, [status(thm)], [c97,d38])). % 72.97/44.38 cnf(d40, plain, app(sK19(sK256,nil),nil) = sK256 | ~ssList(sK256) | ~ssList(nil), inference(resolution, [status(thm)], [d39,c16])). % 72.97/44.38 cnf(d41, plain, sK256 = sK256 | ~ssList(nil) | ~ssList(sK256), inference(demodulation, [status(thm)], [d40,d33])). % 72.97/44.38 cnf(d42, plain, sK256 = sK256 | ~ssList(nil), inference(resolution, [status(thm)], [c210,d41])). % 72.97/44.38 cnf(d43, plain, sK256 = sK256, inference(resolution, [status(thm)], [c97,d42])). % 72.97/44.38 cnf(d44, plain, nil = sK256 | hd(sK256) = sK11(sK256) | ~ssItem(sK11(sK256)) | ~ssItem(hd(sK256)) | ~ssList(tl(sK256)), inference(resolution, [status(thm)], [d43,d30])). % 72.97/44.38 cnf(d45, plain, nil = X0 | ~ssList(X0) | app(nil,sK212(X0)) = sK212(X0), inference(resolution, [status(thm)], [c183,c111])). % 72.97/44.38 cnf(d46, plain, app(nil,sK212(sK256)) = sK212(sK256) | nil = sK256, inference(resolution, [status(thm)], [d45,c210])). % 72.97/44.38 cnf(d47, plain, nil = sK256 | tl(sK256) = sK212(sK256), inference(resolution, [status(thm)], [c184,c210])). % 72.97/44.38 cnf(d48, plain, app(nil,tl(sK256)) = sK212(sK256) | nil = sK256 | nil = sK256, inference(superposition, [status(thm)], [d47,d46])). % 72.97/44.38 cnf(d49, plain, ssList(sK212(sK256)) | ~ssList(tl(sK256)) | ~ssList(nil) | nil = sK256, inference(superposition, [status(thm)], [d48,c109])). % 72.97/44.38 cnf(d50, plain, nil = sK256 | ~ssList(tl(sK256)) | ssList(sK212(sK256)), inference(resolution, [status(thm)], [c97,d49])). % 72.97/44.38 cnf(d51, plain, tl(cons(X0,nil)) = nil | ~ssItem(X0), inference(resolution, [status(thm)], [c108,c97])). % 72.97/44.38 cnf(d52, plain, tl(cons(sK260(X0,X1),nil)) = nil | 'Ts253'(X0,X1), inference(resolution, [status(thm)], [d51,c219])). % 72.97/44.38 cnf(d53, plain, tl(cons(sK260(sK256,sK257),nil)) = nil | nil = sK256, inference(resolution, [status(thm)], [d52,c218])). % 72.97/44.38 cnf(d54, plain, tl(sK256) = nil | nil = sK256 | nil = sK256, inference(superposition, [status(thm)], [d7,d53])). % 72.97/44.38 cnf(d55, plain, ~ssList(nil) | nil = sK256 | ssList(sK212(sK256)) | nil = sK256, inference(superposition, [status(thm)], [d54,d50])). % 72.97/44.38 cnf(d56, plain, nil = sK256 | ssList(sK212(sK256)), inference(resolution, [status(thm)], [c97,d55])). % 72.97/44.38 cnf(d57, plain, app(nil,tl(X0)) = tl(X0) | nil = X0 | ~ssList(X0), inference(resolution, [status(thm)], [c111,c107])). % 72.97/44.38 cnf(d58, plain, app(nil,tl(sK256)) = tl(sK256) | nil = sK256, inference(resolution, [status(thm)], [d57,c210])). % 72.97/44.38 cnf(d59, plain, sK212(sK256) = tl(sK256) | nil = sK256 | nil = sK256, inference(superposition, [status(thm)], [d48,d58])). % 72.97/44.38 cnf(d60, plain, ssList(tl(sK256)) | nil = sK256 | nil = sK256, inference(superposition, [status(thm)], [d59,d56])). % 72.97/44.38 cnf(d61, plain, nil = sK256 | nil = sK256 | hd(sK256) = sK11(sK256) | ~ssItem(sK11(sK256)) | ~ssItem(hd(sK256)), inference(resolution, [status(thm)], [d60,d44])). % 72.97/44.38 cnf(d62, plain, ssItem(hd(sK256)) | 'Ts253'(sK256,sK257) | nil = sK256, inference(superposition, [status(thm)], [d8,c219])). % 72.97/44.38 cnf(d63, plain, nil = sK256 | nil = sK256 | ssItem(hd(sK256)), inference(resolution, [status(thm)], [c218,d62])). % 72.97/44.38 cnf(d64, plain, nil = sK256 | nil = sK256 | hd(sK256) = sK11(sK256) | ~ssItem(sK11(sK256)), inference(resolution, [status(thm)], [d63,d61])). % 72.97/44.38 cnf(d65, plain, nil = sK256 | hd(sK256) = sK11(sK256) | ~ssList(sK256) | ~singletonP(sK256), inference(resolution, [status(thm)], [d64,c9])). % 72.97/44.38 cnf(d66, plain, nil = sK256 | hd(sK256) = sK11(sK256) | ~singletonP(sK256), inference(resolution, [status(thm)], [c210,d65])). % 72.97/44.38 cnf(d67, plain, nil = sK256 | nil = sK256 | hd(sK256) = sK11(sK256), inference(resolution, [status(thm)], [d21,d66])). % 72.97/44.38 cnf(d68, plain, hd(cons(hd(sK256),sK256)) = sK11(sK256) | nil = sK256 | nil = sK256, inference(superposition, [status(thm)], [d67,d24])). % 72.97/44.38 cnf(d69, plain, sK11(sK256) = sK210(sK256) | nil = sK256 | nil = sK256, inference(superposition, [status(thm)], [d68,d16])). % 72.97/44.38 cnf(d70, plain, ssItem(sK11(sK256)) | nil = sK256 | nil = sK256, inference(superposition, [status(thm)], [d69,d12])). % 72.97/44.38 cnf(d71, plain, ~ssItem(X0) | memberP(sK256,sK259(X0)), inference(demodulation, [status(thm)], [c215,c213])). % 72.97/44.38 cnf(d72, plain, ~memberP(sK256,X0) | X0 = sK11(sK256) | ~ssItem(sK11(sK256)) | ~ssItem(X0) | memberP(nil,X0) | ~ssList(nil) | nil = sK256, inference(superposition, [status(thm)], [d26,c124])). % 72.97/44.38 cnf(d73, plain, X0 = sK11(sK256) | nil = sK256 | ~ssItem(X0) | ~ssItem(sK11(sK256)) | memberP(nil,X0) | ~memberP(sK256,X0), inference(resolution, [status(thm)], [c97,d72])). % 72.97/44.38 cnf(d74, plain, ~ssItem(X0) | X0 = sK11(sK256) | nil = sK256 | ~ssItem(X0) | ~ssItem(sK11(sK256)) | ~memberP(sK256,X0), inference(resolution, [status(thm)], [c127,d73])). % 72.97/44.38 cnf(d75, plain, sK259(X0) = sK11(sK256) | nil = sK256 | ~ssItem(sK259(X0)) | ~ssItem(sK11(sK256)) | ~ssItem(X0), inference(resolution, [status(thm)], [d74,d71])). % 72.97/44.38 cnf(d76, plain, ~ssItem(X0) | nil = sK256 | sK259(X0) = sK11(sK256) | ~ssItem(X0) | ~ssItem(sK11(sK256)), inference(resolution, [status(thm)], [c214,d75])). % 72.97/44.38 cnf(d77, plain, nil = sK256 | nil = sK256 | sK259(X0) = sK11(sK256) | ~ssItem(X0), inference(resolution, [status(thm)], [d70,d76])). % 72.97/44.39 cnf(d78, plain, nil = sK256 | sK259(sK11(sK256)) = sK11(sK256) | nil = sK256, inference(resolution, [status(thm)], [d77,d70])). % 72.97/44.39 cnf(d79, plain, sK11(sK256) != sK11(sK256) | ~ssItem(sK11(sK256)) | nil = sK256, inference(superposition, [status(thm)], [d78,c216])). % 72.97/44.39 cnf(d80, plain, nil = sK256 | sK11(sK256) != sK11(sK256) | nil = sK256, inference(resolution, [status(thm)], [d70,d79])). % 72.97/44.39 cnf(d81, plain, nil = sK256, inference(equality_resolution, [status(thm)], [d80])). % 72.97/44.39 cnf(d82, plain, ~ssItem(X0) | memberP(nil,sK259(X0)), inference(demodulation, [status(thm)], [d71,d81])). % 72.97/44.39 cnf(d83, plain, ~ssItem(X0) | ~ssItem(sK259(X0)), inference(resolution, [status(thm)], [d82,c127])). % 72.97/44.39 cnf(d84, plain, ~ssItem(X0) | ~ssItem(X0), inference(resolution, [status(thm)], [c214,d83])). % 72.97/44.39 cnf(d85, plain, $false, inference(resolution, [status(thm)], [d84,c3])). % 72.97/44.39 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------