%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SWC079+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 : n011.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 08:54:11 AM UTC 2026 % Result : Theorem 223.25s 37.78s % Output : CNFRefutation 223.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SWC079+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 % 0.11/0.37 % Computer : n011.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 26 12:12:29 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 223.25/37.78 % SZS status Theorem for theBenchmark.p % 223.25/37.78 % SZS output start CNFRefutation for theBenchmark.p % 223.25/37.78 fof(ax4, axiom, ! [X0] : ((ssList(X0) => (singletonP(X0) <=> ? [X1] : ((ssItem(X1) & cons(X1,nil) = X0)))))). % 223.25/37.78 fof(ax7, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (segmentP(X0,X1) <=> ? [X2] : ((ssList(X2) & ? [X3] : ((ssList(X3) & app(app(X2,X1),X3) = X0)))))))))). % 223.25/37.78 fof(ax15, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (neq(X0,X1) <=> X0 != X1)))))). % 223.25/37.78 fof(ax16, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => ssList(cons(X1,X0))))))). % 223.25/37.78 fof(ax17, axiom, ssList(nil)). % 223.25/37.78 fof(ax22, axiom, ! [X0] : ((ssList(X0) => (nil != X0 => ssItem(hd(X0)))))). % 223.25/37.78 fof(ax23, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => hd(cons(X1,X0)) = X1))))). % 223.25/37.78 fof(ax24, axiom, ! [X0] : ((ssList(X0) => (nil != X0 => ssList(tl(X0)))))). % 223.25/37.78 fof(ax25, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => tl(cons(X1,X0)) = X0))))). % 223.25/37.78 fof(ax27, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssItem(X2) => cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)))))))). % 223.25/37.78 fof(ax28, axiom, ! [X0] : ((ssList(X0) => app(nil,X0) = X0))). % 223.25/37.78 fof(ax39, axiom, ~singletonP(nil)). % 223.25/37.78 fof(ax55, axiom, ! [X0] : ((ssList(X0) => segmentP(X0,X0)))). % 223.25/37.78 fof(ax57, axiom, ! [X0] : ((ssList(X0) => segmentP(X0,nil)))). % 223.25/37.78 fof(ax78, axiom, ! [X0] : ((ssList(X0) => (nil != X0 => cons(hd(X0),tl(X0)) = X0)))). % 223.25/37.78 fof(ax81, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssItem(X1) => cons(X1,X0) = app(cons(X1,nil),X0)))))). % 223.25/37.78 fof(ax82, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => ! [X2] : ((ssList(X2) => app(app(X0,X1),X2) = app(X0,app(X1,X2))))))))). % 223.25/37.78 fof(ax84, axiom, ! [X0] : ((ssList(X0) => app(X0,nil) = X0))). % 223.25/37.78 fof(ax86, axiom, ! [X0] : ((ssList(X0) => ! [X1] : ((ssList(X1) => (nil != X0 => tl(app(X0,X1)) = app(tl(X0),X1))))))). % 223.25/37.78 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) & (neq(X4,nil) & (segmentP(X1,X4) & segmentP(X0,X4))))) | ? [X5] : ((ssList(X5) & (X2 != X5 & ? [X6] : ((ssItem(X6) & (cons(X6,nil) = X5 & (hd(X3) = X6 & neq(nil,X3)))))))))) & (~neq(X1,nil) | neq(X3,nil)))))))))))))). % 223.25/37.78 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) & (neq(X4,nil) & (segmentP(X1,X4) & segmentP(X0,X4))))) | ? [X5] : ((ssList(X5) & (X2 != X5 & ? [X6] : ((ssItem(X6) & (cons(X6,nil) = X5 & (hd(X3) = X6 & neq(nil,X3)))))))))) & (~neq(X1,nil) | neq(X3,nil))))))))))))), inference(negate_conjecture, [status(cth)], [co1])). % 223.25/37.78 cnf(c11, plain, ~ssList(X0) | singletonP(X0) | ~ssItem(X1) | cons(X1,nil) != X0, inference(clausification, [status(esa)], [ax4])). % 223.25/37.78 cnf(c21, plain, segmentP(X0,X1) | ~ssList(X1) | app(app(X2,X1),X3) != X0 | ~ssList(X3) | ~ssList(X0) | ~ssList(X2), inference(clausification, [status(esa)], [ax7])). % 223.25/37.78 cnf(c95, plain, ~ssList(X0) | ~ssList(X1) | neq(X0,X1) | X0 = X1, inference(clausification, [status(esa)], [ax15])). % 223.25/37.78 cnf(c96, plain, ~ssList(X0) | ~ssItem(X1) | ssList(cons(X1,X0)), inference(clausification, [status(esa)], [ax16])). % 223.25/37.78 cnf(c97, plain, ssList(nil), inference(clausification, [status(esa)], [ax17])). % 223.25/37.78 cnf(c105, plain, ~ssList(X0) | nil = X0 | ssItem(hd(X0)), inference(clausification, [status(esa)], [ax22])). % 223.25/37.78 cnf(c106, plain, ~ssList(X0) | ~ssItem(X1) | hd(cons(X1,X0)) = X1, inference(clausification, [status(esa)], [ax23])). % 223.25/37.78 cnf(c107, plain, ~ssList(X0) | nil = X0 | ssList(tl(X0)), inference(clausification, [status(esa)], [ax24])). % 223.25/37.78 cnf(c108, plain, ~ssList(X0) | ~ssItem(X1) | tl(cons(X1,X0)) = X0, inference(clausification, [status(esa)], [ax25])). % 223.25/37.78 cnf(c110, plain, ~ssList(X0) | ~ssList(X1) | ~ssItem(X2) | cons(X2,app(X1,X0)) = app(cons(X2,X1),X0), inference(clausification, [status(esa)], [ax27])). % 223.25/37.78 cnf(c111, plain, ~ssList(X0) | app(nil,X0) = X0, inference(clausification, [status(esa)], [ax28])). % 223.25/37.78 cnf(c128, plain, ~singletonP(nil), inference(clausification, [status(esa)], [ax39])). % 223.25/37.78 cnf(c148, plain, ~ssList(X0) | segmentP(X0,X0), inference(clausification, [status(esa)], [ax55])). % 223.25/37.78 cnf(c150, plain, ~ssList(X0) | segmentP(X0,nil), inference(clausification, [status(esa)], [ax57])). % 223.25/37.78 cnf(c186, plain, ~ssList(X0) | nil = X0 | cons(hd(X0),tl(X0)) = X0, inference(clausification, [status(esa)], [ax78])). % 223.25/37.78 cnf(c189, plain, ~ssList(X0) | ~ssItem(X1) | cons(X1,X0) = app(cons(X1,nil),X0), inference(clausification, [status(esa)], [ax81])). % 223.25/37.78 cnf(c190, plain, ~ssList(X0) | ~ssList(X1) | ~ssList(X2) | app(app(X0,X1),X2) = app(X0,app(X1,X2)), inference(clausification, [status(esa)], [ax82])). % 223.25/37.78 cnf(c194, plain, ~ssList(X0) | app(X0,nil) = X0, inference(clausification, [status(esa)], [ax84])). % 223.25/37.78 cnf(c196, plain, ~ssList(X0) | ~ssList(X1) | nil = X0 | tl(app(X0,X1)) = app(tl(X0),X1), inference(clausification, [status(esa)], [ax86])). % 223.25/37.78 cnf(c208, plain, ssList(sK254), inference(clausification, [status(esa)], [negated_conjecture])). % 223.25/37.78 cnf(c209, plain, ssList(sK255), inference(clausification, [status(esa)], [negated_conjecture])). % 223.25/37.78 cnf(c212, plain, sK255 = sK257, inference(clausification, [status(esa)], [negated_conjecture])). % 223.25/37.78 cnf(c213, plain, sK254 = sK256, inference(clausification, [status(esa)], [negated_conjecture])). % 223.25/37.78 cnf(c214, plain, ~X0(sK254,sK255,sK256,sK257) | neq(sK255,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 223.25/37.78 cnf(c215, plain, ~X0(sK254,sK255,sK256,sK257) | ~neq(sK257,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 223.25/37.78 cnf(c216, plain, X0(X1,X2,X3,X4) | neq(X2,nil), inference(clausification, [status(esa)], [negated_conjecture])). % 223.25/37.78 cnf(c217, plain, ~segmentP(X0,X1) | X2(X3,X0,X4,X5) | ~segmentP(X3,X1) | ~neq(X1,nil) | ~ssList(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 223.25/37.78 cnf(c218, plain, ~ssItem(X0) | ~neq(nil,X1) | X2 = X3 | X4(X5,X6,X2,X1) | hd(X1) != X0 | ~ssList(X3) | cons(X0,nil) != X3, inference(clausification, [status(esa)], [negated_conjecture])). % 223.25/37.78 cnf(d0, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK256,sK257), inference(demodulation, [status(thm)], [c215,c212])). % 223.25/37.78 cnf(d1, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [d0,c213])). % 223.25/37.78 cnf(d2, plain, ~neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d1,c212])). % 223.25/37.78 cnf(d3, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK257), inference(demodulation, [status(thm)], [c214,c213])). % 223.25/37.78 cnf(d4, plain, neq(sK255,nil) | ~'Ts253'(sK254,sK255,sK254,sK255), inference(demodulation, [status(thm)], [d3,c212])). % 223.25/37.78 cnf(d5, plain, neq(sK255,nil) | neq(sK255,nil), inference(resolution, [status(thm)], [c216,d4])). % 223.25/37.78 cnf(d6, plain, ~'Ts253'(sK254,sK255,sK254,sK255), inference(resolution, [status(thm)], [d5,d2])). % 223.25/37.78 cnf(d7, plain, ~neq(X0,nil) | ~ssList(X0) | ~segmentP(sK254,X0) | ~segmentP(sK255,X0), inference(resolution, [status(thm)], [c217,d6])). % 223.25/37.78 cnf(d8, plain, ~ssList(sK255) | ~neq(sK255,nil) | ~ssList(sK255) | ~segmentP(sK254,sK255), inference(resolution, [status(thm)], [c148,d7])). % 223.25/37.78 cnf(d9, plain, ~neq(sK255,nil) | ~segmentP(sK254,sK255), inference(resolution, [status(thm)], [c209,d8])). % 223.25/37.78 cnf(d10, plain, ~segmentP(sK254,sK255), inference(resolution, [status(thm)], [d5,d9])). % 223.25/37.78 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)], [c218])). % 223.25/37.78 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])). % 223.25/37.78 cnf(d13, plain, X1 != X2 | ~ssItem(hd(X0)) | ~ssList(X2) | singletonP(X2) | ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(cons(hd(X0),nil)) | 'Ts253'(X3,X4,X1,X0), inference(superposition, [status(thm)], [d12,c11])). % 223.25/37.78 cnf(d14, plain, ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(X1) | ~ssList(cons(hd(X0),nil)) | singletonP(X1) | 'Ts253'(X2,X3,X1,X0), inference(equality_resolution, [status(thm)], [d13])). % 223.25/37.78 cnf(d15, plain, ~ssItem(hd(X0)) | ~ssList(nil) | ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(X1) | singletonP(X1) | 'Ts253'(X2,X3,X1,X0), inference(resolution, [status(thm)], [c96,d14])). % 223.25/37.78 cnf(d16, plain, ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(X1) | singletonP(X1) | 'Ts253'(X2,X3,X1,X0), inference(resolution, [status(thm)], [c97,d15])). % 223.25/37.78 cnf(d17, plain, ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(sK254) | singletonP(sK254), inference(resolution, [status(thm)], [d16,d6])). % 223.25/37.78 cnf(d18, plain, ~ssItem(hd(sK255)) | ~neq(nil,sK255) | singletonP(sK254), inference(resolution, [status(thm)], [c208,d17])). % 223.25/37.78 cnf(d19, plain, nil = sK255 | ~ssList(sK255) | ~ssList(nil) | ~ssItem(hd(sK255)) | singletonP(sK254), inference(resolution, [status(thm)], [c95,d18])). % 223.25/37.78 cnf(d20, plain, nil = sK255 | ~ssItem(hd(sK255)) | ~ssList(nil) | singletonP(sK254), inference(resolution, [status(thm)], [c209,d19])). % 223.25/37.78 cnf(d21, plain, nil = sK255 | ~ssItem(hd(sK255)) | singletonP(sK254), inference(resolution, [status(thm)], [c97,d20])). % 223.25/37.78 cnf(d22, plain, nil = sK255 | singletonP(sK254) | nil = sK255 | ~ssList(sK255), inference(resolution, [status(thm)], [d21,c105])). % 223.25/37.78 cnf(d23, plain, nil = sK255 | singletonP(sK254), inference(resolution, [status(thm)], [c209,d22])). % 223.25/37.78 cnf(d24, plain, ~segmentP(sK254,nil) | singletonP(sK254), inference(superposition, [status(thm)], [d23,d10])). % 223.25/37.78 cnf(d25, plain, singletonP(sK254) | ~ssList(sK254), inference(resolution, [status(thm)], [d24,c150])). % 223.25/37.78 cnf(d26, plain, singletonP(sK254), inference(resolution, [status(thm)], [c208,d25])). % 223.25/37.78 cnf(d27, plain, cons(hd(X0),app(nil,X2)) = app(X1,X2) | ~ssItem(hd(X0)) | ~ssList(nil) | ~ssList(X2) | ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(cons(hd(X0),nil)) | 'Ts253'(X3,X4,X1,X0), inference(superposition, [status(thm)], [d12,c110])). % 223.25/37.78 cnf(d28, plain, cons(hd(X0),app(nil,X1)) = app(X2,X1) | ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(X1) | ~ssList(cons(hd(X0),nil)) | 'Ts253'(X3,X4,X2,X0), inference(resolution, [status(thm)], [c97,d27])). % 223.25/37.78 cnf(d29, plain, ssList(app(X2,X1)) | ~ssItem(hd(X0)) | ~ssList(app(nil,X1)) | ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(X1) | ~ssList(cons(hd(X0),nil)) | 'Ts253'(X3,X4,X2,X0), inference(superposition, [status(thm)], [d28,c96])). % 223.25/37.78 cnf(d30, plain, ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(X1) | ssList(app(X2,X1)) | ~ssList(app(nil,X1)) | 'Ts253'(X3,X4,X2,X0) | ~ssItem(hd(X0)) | ~ssList(nil), inference(resolution, [status(thm)], [d29,c96])). % 223.25/37.78 cnf(d31, plain, ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(X1) | ssList(app(X2,X1)) | ~ssList(app(nil,X1)) | 'Ts253'(X3,X4,X2,X0), inference(resolution, [status(thm)], [c97,d30])). % 223.25/37.78 cnf(d32, plain, ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0) | ssList(app(sK254,X0)) | ~ssList(app(nil,X0)), inference(resolution, [status(thm)], [d31,d6])). % 223.25/37.78 cnf(d33, plain, ~ssList(X0) | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0) | ssList(app(sK254,X0)) | ~ssList(X0), inference(superposition, [status(thm)], [c111,d32])). % 223.25/37.78 cnf(d34, plain, app(X0,X1) = app(nil,app(X0,X1)) | ~ssList(X0) | ~ssList(X1) | ~ssList(nil) | ~ssList(X0), inference(superposition, [status(thm)], [c111,c190])). % 223.25/37.78 cnf(d35, plain, app(X0,X1) = app(nil,app(X0,X1)) | ~ssList(X1) | ~ssList(X0), inference(resolution, [status(thm)], [c97,d34])). % 223.25/37.78 cnf(d36, plain, cons(hd(X1),X0) = app(X2,X0) | ~ssItem(hd(X1)) | ~neq(nil,X1) | ~ssList(X0) | ~ssList(cons(hd(X1),nil)) | 'Ts253'(X3,X4,X2,X1) | ~ssList(X0), inference(superposition, [status(thm)], [c111,d28])). % 223.25/37.78 cnf(d37, plain, X2 = app(X1,nil) | ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(cons(hd(X0),nil)) | 'Ts253'(X3,X4,X2,X0) | ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(nil) | ~ssList(cons(hd(X0),nil)) | 'Ts253'(X5,X6,X1,X0), inference(superposition, [status(thm)], [d36,d12])). % 223.25/37.78 cnf(d38, plain, X0 = app(X1,nil) | ~ssItem(hd(X2)) | ~neq(nil,X2) | ~ssList(cons(hd(X2),nil)) | 'Ts253'(X3,X4,X1,X2) | 'Ts253'(X5,X6,X0,X2), inference(resolution, [status(thm)], [c97,d37])). % 223.25/37.78 cnf(d39, plain, X0 = app(X1,nil) | ~ssItem(hd(X2)) | ~neq(nil,X2) | 'Ts253'(X3,X4,X0,X2) | 'Ts253'(X5,X6,X1,X2) | ~ssItem(hd(X2)) | ~ssList(nil), inference(resolution, [status(thm)], [d38,c96])). % 223.25/37.78 cnf(d40, plain, X0 = app(X1,nil) | ~ssItem(hd(X2)) | ~neq(nil,X2) | 'Ts253'(X3,X4,X1,X2) | 'Ts253'(X5,X6,X0,X2), inference(resolution, [status(thm)], [c97,d39])). % 223.25/37.78 cnf(d41, plain, X0 = app(sK254,nil) | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | 'Ts253'(X1,X2,X0,sK255), inference(resolution, [status(thm)], [d40,d6])). % 223.25/37.78 cnf(d42, plain, sK254 = app(sK254,nil) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(resolution, [status(thm)], [d41,d6])). % 223.25/37.78 cnf(d43, plain, app(sK254,nil) = app(nil,sK254) | ~ssList(nil) | ~ssList(sK254) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d42,d35])). % 223.25/37.78 cnf(d44, plain, app(sK254,nil) = app(nil,sK254) | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(nil), inference(resolution, [status(thm)], [c208,d43])). % 223.25/37.78 cnf(d45, plain, app(sK254,nil) = app(nil,sK254) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(resolution, [status(thm)], [c97,d44])). % 223.25/37.78 cnf(d46, plain, ssList(app(nil,sK254)) | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(nil) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d45,d33])). % 223.25/37.78 cnf(d47, plain, ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ssList(app(nil,sK254)), inference(resolution, [status(thm)], [c97,d46])). % 223.25/37.78 cnf(d48, plain, app(X0,app(X1,X2)) != X3 | ~ssList(X3) | ~ssList(X2) | ~ssList(X1) | ~ssList(X0) | segmentP(X3,X1) | ~ssList(X1) | ~ssList(X2) | ~ssList(X0), inference(superposition, [status(thm)], [c190,c21])). % 223.25/37.78 cnf(d49, plain, app(X0,sK254) != X1 | ~ssList(X1) | ~ssList(nil) | ~ssList(sK254) | ~ssList(X0) | segmentP(X1,sK254) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d42,d48])). % 223.25/37.78 cnf(d50, plain, app(X0,sK254) != X1 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X1) | ~ssList(X0) | ~ssList(nil) | segmentP(X1,sK254), inference(resolution, [status(thm)], [c208,d49])). % 223.25/37.78 cnf(d51, plain, app(X0,sK254) != X1 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X1) | ~ssList(X0) | segmentP(X1,sK254), inference(resolution, [status(thm)], [c97,d50])). % 223.25/37.78 cnf(d52, plain, ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(app(X0,sK254)) | ~ssList(X0) | segmentP(app(X0,sK254),sK254), inference(equality_resolution, [status(thm)], [d51])). % 223.25/37.78 cnf(d53, plain, sK254 = app(nil,sK254) | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d45,d42])). % 223.25/37.78 cnf(d54, plain, segmentP(sK254,sK254) | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(nil) | ~ssList(app(nil,sK254)) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d53,d52])). % 223.25/37.78 cnf(d55, plain, ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(app(nil,sK254)) | segmentP(sK254,sK254), inference(resolution, [status(thm)], [c97,d54])). % 223.25/37.78 cnf(d56, plain, ~ssItem(hd(sK255)) | ~neq(nil,sK255) | segmentP(sK254,sK254) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(resolution, [status(thm)], [d55,d47])). % 223.25/37.78 cnf(d57, plain, ~ssItem(hd(sK255)) | segmentP(sK254,sK254) | nil = sK255 | ~ssList(sK255) | ~ssList(nil), inference(resolution, [status(thm)], [d56,c95])). % 223.25/37.78 cnf(d58, plain, nil = sK255 | ~ssItem(hd(sK255)) | ~ssList(nil) | segmentP(sK254,sK254), inference(resolution, [status(thm)], [c209,d57])). % 223.25/37.78 cnf(d59, plain, nil = sK255 | ~ssItem(hd(sK255)) | segmentP(sK254,sK254), inference(resolution, [status(thm)], [c97,d58])). % 223.25/37.78 cnf(d60, plain, nil = sK255 | segmentP(sK254,sK254) | nil = sK255 | ~ssList(sK255), inference(resolution, [status(thm)], [d59,c105])). % 223.25/37.78 cnf(d61, plain, nil = sK255 | segmentP(sK254,sK254), inference(resolution, [status(thm)], [c209,d60])). % 223.25/37.78 cnf(d62, plain, ~ssList(app(app(X0,X1),X2)) | ~ssList(X2) | ~ssList(X1) | ~ssList(X0) | segmentP(app(app(X0,X1),X2),X1), inference(equality_resolution, [status(thm)], [c21])). % 223.25/37.78 cnf(d63, plain, segmentP(app(sK254,X0),sK254) | ~ssList(X0) | ~ssList(sK254) | ~ssList(nil) | ~ssList(app(app(nil,sK254),X0)) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d53,d62])). % 223.25/37.78 cnf(d64, plain, ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0) | ~ssList(app(app(nil,sK254),X0)) | ~ssList(nil) | segmentP(app(sK254,X0),sK254), inference(resolution, [status(thm)], [c208,d63])). % 223.25/37.78 cnf(d65, plain, ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0) | ~ssList(app(app(nil,sK254),X0)) | segmentP(app(sK254,X0),sK254), inference(resolution, [status(thm)], [c97,d64])). % 223.25/37.78 cnf(d66, plain, tl(X1) = nil | ~ssItem(hd(X0)) | ~ssList(nil) | ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(cons(hd(X0),nil)) | 'Ts253'(X2,X3,X1,X0), inference(superposition, [status(thm)], [d12,c108])). % 223.25/37.78 cnf(d67, plain, tl(X0) = nil | ~ssItem(hd(X1)) | ~neq(nil,X1) | ~ssList(cons(hd(X1),nil)) | 'Ts253'(X2,X3,X0,X1), inference(resolution, [status(thm)], [c97,d66])). % 223.25/37.78 cnf(d68, plain, tl(X0) = nil | ~ssItem(hd(X1)) | ~neq(nil,X1) | 'Ts253'(X2,X3,X0,X1) | ~ssItem(hd(X1)) | ~ssList(nil), inference(resolution, [status(thm)], [d67,c96])). % 223.25/37.78 cnf(d69, plain, tl(X0) = nil | ~ssItem(hd(X1)) | ~neq(nil,X1) | 'Ts253'(X2,X3,X0,X1), inference(resolution, [status(thm)], [c97,d68])). % 223.25/37.78 cnf(d70, plain, tl(sK254) = nil | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(resolution, [status(thm)], [d69,d6])). % 223.25/37.78 cnf(d71, plain, cons(hd(sK254),nil) = sK254 | nil = sK254 | ~ssList(sK254) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d70,c186])). % 223.25/37.79 cnf(d72, plain, cons(hd(sK254),nil) = sK254 | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(resolution, [status(thm)], [c208,d71])). % 223.25/37.79 cnf(d73, plain, hd(X1) = hd(X0) | ~ssItem(hd(X0)) | ~ssList(nil) | ~ssItem(hd(X0)) | ~neq(nil,X0) | ~ssList(cons(hd(X0),nil)) | 'Ts253'(X2,X3,X1,X0), inference(superposition, [status(thm)], [d12,c106])). % 223.25/37.79 cnf(d74, plain, hd(X0) = hd(X1) | ~ssItem(hd(X1)) | ~neq(nil,X1) | ~ssList(cons(hd(X1),nil)) | 'Ts253'(X2,X3,X0,X1), inference(resolution, [status(thm)], [c97,d73])). % 223.25/37.79 cnf(d75, plain, hd(X0) = hd(X1) | ~ssItem(hd(X1)) | ~neq(nil,X1) | 'Ts253'(X2,X3,X0,X1) | ~ssItem(hd(X1)) | ~ssList(nil), inference(resolution, [status(thm)], [d74,c96])). % 223.25/37.79 cnf(d76, plain, hd(X0) = hd(X1) | ~ssItem(hd(X1)) | ~neq(nil,X1) | 'Ts253'(X2,X3,X0,X1), inference(resolution, [status(thm)], [c97,d75])). % 223.25/37.79 cnf(d77, plain, hd(sK254) = hd(sK255) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(resolution, [status(thm)], [d76,d6])). % 223.25/37.79 cnf(d78, plain, cons(hd(sK255),nil) = sK254 | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d77,d72])). % 223.25/37.79 cnf(d79, plain, cons(hd(sK255),app(nil,X0)) = app(sK254,X0) | ~ssItem(hd(sK255)) | ~ssList(nil) | ~ssList(X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d78,c110])). % 223.25/37.79 cnf(d80, plain, cons(hd(sK255),app(nil,X0)) = app(sK254,X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0), inference(resolution, [status(thm)], [c97,d79])). % 223.25/37.79 cnf(d81, plain, tl(sK254) = app(tl(sK254),nil) | nil = sK254 | ~ssList(sK254) | ~ssList(nil) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d42,c196])). % 223.25/37.79 cnf(d82, plain, nil = sK254 | tl(sK254) = app(tl(sK254),nil) | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(nil), inference(resolution, [status(thm)], [c208,d81])). % 223.25/37.79 cnf(d83, plain, nil = sK254 | tl(sK254) = app(tl(sK254),nil) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(resolution, [status(thm)], [c97,d82])). % 223.25/37.79 cnf(d84, plain, tl(sK254) = app(nil,nil) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d70,d83])). % 223.25/37.79 cnf(d85, plain, cons(hd(sK255),tl(sK254)) = app(sK254,nil) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(nil) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d84,d80])). % 223.25/37.79 cnf(d86, plain, cons(hd(sK255),tl(sK254)) = app(sK254,nil) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(resolution, [status(thm)], [c97,d85])). % 223.25/37.79 cnf(d87, plain, cons(hd(sK255),X0) = app(sK254,X0) | ~ssItem(hd(sK255)) | ~ssList(X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d78,c189])). % 223.25/37.79 cnf(d88, plain, tl(app(sK254,X0)) = X0 | ~ssItem(hd(sK255)) | ~ssList(X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0), inference(superposition, [status(thm)], [d87,c108])). % 223.25/37.79 cnf(d89, plain, X0 = app(tl(sK254),X0) | nil = sK254 | ~ssList(sK254) | ~ssList(X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0), inference(superposition, [status(thm)], [d88,c196])). % 223.25/37.79 cnf(d90, plain, X0 = app(tl(sK254),X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0), inference(resolution, [status(thm)], [c208,d89])). % 223.25/37.79 cnf(d91, plain, nil = tl(sK254) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(nil) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d83,d90])). % 223.25/37.79 cnf(d92, plain, nil = tl(sK254) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(resolution, [status(thm)], [c97,d91])). % 223.25/37.79 cnf(d93, plain, cons(hd(sK255),nil) = app(sK254,nil) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d92,d86])). % 223.25/37.79 cnf(d94, plain, cons(hd(sK255),X0) = app(app(sK254,nil),X0) | ~ssItem(hd(sK255)) | ~ssList(X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d93,c189])). % 223.25/37.79 cnf(d95, plain, X0 = app(nil,X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0) | ~ssItem(hd(sK255)) | ~neq(nil,sK255), inference(superposition, [status(thm)], [d70,d90])). % 223.25/37.79 cnf(d96, plain, app(X0,X1) = app(nil,app(X0,X1)) | ~ssList(X0) | ~ssList(X1) | ~ssList(nil) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0), inference(superposition, [status(thm)], [d95,c190])). % 223.25/37.79 cnf(d97, plain, app(X0,X1) = app(nil,app(X0,X1)) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X1) | ~ssList(X0), inference(resolution, [status(thm)], [c97,d96])). % 223.25/37.79 cnf(d98, plain, app(X0,nil) = app(nil,X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(nil) | ~ssList(X0) | ~ssList(X0), inference(superposition, [status(thm)], [c194,d97])). % 223.25/37.79 cnf(d99, plain, app(X0,nil) = app(nil,X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0), inference(resolution, [status(thm)], [c97,d98])). % 223.25/37.79 cnf(d100, plain, cons(hd(sK255),X0) = app(app(nil,sK254),X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(sK254), inference(superposition, [status(thm)], [d99,d94])). % 223.25/37.79 cnf(d101, plain, cons(hd(sK255),X0) = app(app(nil,sK254),X0) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0), inference(resolution, [status(thm)], [c208,d100])). % 223.25/37.79 cnf(d102, plain, ~ssList(cons(hd(sK255),X0)) | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0) | segmentP(app(sK254,X0),sK254) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0), inference(superposition, [status(thm)], [d101,d65])). % 223.25/37.79 cnf(d103, plain, nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(X0) | segmentP(app(sK254,X0),sK254) | ~ssItem(hd(sK255)) | ~ssList(X0), inference(resolution, [status(thm)], [d102,c96])). % 223.25/37.79 cnf(d104, plain, app(sK254,tl(sK255)) = sK255 | nil = sK255 | ~ssList(sK255) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(tl(sK255)), inference(superposition, [status(thm)], [d87,c186])). % 223.25/37.79 cnf(d105, plain, app(sK254,tl(sK255)) = sK255 | nil = sK254 | nil = sK255 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(tl(sK255)), inference(resolution, [status(thm)], [c209,d104])). % 223.25/37.79 cnf(d106, plain, segmentP(sK255,sK254) | nil = sK254 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(tl(sK255)) | nil = sK254 | nil = sK255 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | ~ssList(tl(sK255)), inference(superposition, [status(thm)], [d105,d103])). % 223.25/37.79 cnf(d107, plain, nil = sK254 | nil = sK255 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | segmentP(sK255,sK254) | nil = sK255 | ~ssList(sK255), inference(resolution, [status(thm)], [d106,c107])). % 223.25/37.79 cnf(d108, plain, nil = sK254 | nil = sK255 | ~ssItem(hd(sK255)) | ~neq(nil,sK255) | segmentP(sK255,sK254), inference(resolution, [status(thm)], [c209,d107])). % 223.25/37.79 cnf(d109, plain, nil = sK254 | nil = sK255 | ~ssItem(hd(sK255)) | segmentP(sK255,sK254) | nil = sK255 | ~ssList(sK255) | ~ssList(nil), inference(resolution, [status(thm)], [d108,c95])). % 223.25/37.79 cnf(d110, plain, nil = sK254 | nil = sK255 | ~ssItem(hd(sK255)) | ~ssList(nil) | segmentP(sK255,sK254), inference(resolution, [status(thm)], [c209,d109])). % 223.25/37.79 cnf(d111, plain, nil = sK254 | nil = sK255 | ~ssItem(hd(sK255)) | segmentP(sK255,sK254), inference(resolution, [status(thm)], [c97,d110])). % 223.25/37.79 cnf(d112, plain, nil = sK254 | nil = sK255 | segmentP(sK255,sK254) | nil = sK255 | ~ssList(sK255), inference(resolution, [status(thm)], [d111,c105])). % 223.25/37.79 cnf(d113, plain, nil = sK254 | nil = sK255 | segmentP(sK255,sK254), inference(resolution, [status(thm)], [c209,d112])). % 223.25/37.79 cnf(d114, plain, nil = sK254 | nil = sK255 | ~neq(sK254,nil) | ~ssList(sK254) | ~segmentP(sK254,sK254), inference(resolution, [status(thm)], [d113,d7])). % 223.25/37.79 cnf(d115, plain, nil = sK254 | nil = sK255 | ~neq(sK254,nil) | ~segmentP(sK254,sK254), inference(resolution, [status(thm)], [c208,d114])). % 223.25/37.79 cnf(d116, plain, nil = sK254 | nil = sK255 | ~neq(sK254,nil) | nil = sK255, inference(resolution, [status(thm)], [d115,d61])). % 223.25/37.79 cnf(d117, plain, nil = sK254 | nil = sK255 | sK254 = nil | ~ssList(nil) | ~ssList(sK254), inference(resolution, [status(thm)], [d116,c95])). % 223.25/37.79 cnf(d118, plain, nil = sK254 | nil = sK255 | sK254 = nil | ~ssList(nil), inference(resolution, [status(thm)], [c208,d117])). % 223.25/37.79 cnf(d119, plain, nil = sK254 | nil = sK255 | sK254 = nil, inference(resolution, [status(thm)], [c97,d118])). % 223.25/37.79 cnf(d120, plain, singletonP(nil) | nil = sK254 | nil = sK255, inference(superposition, [status(thm)], [d119,d26])). % 223.25/37.79 cnf(d121, plain, nil = sK254 | nil = sK255, inference(resolution, [status(thm)], [c128,d120])). % 223.25/37.79 cnf(d122, plain, ~segmentP(sK254,nil) | nil = sK254, inference(superposition, [status(thm)], [d121,d10])). % 223.25/37.79 cnf(d123, plain, nil = sK254 | ~ssList(sK254), inference(resolution, [status(thm)], [d122,c150])). % 223.25/37.79 cnf(d124, plain, nil = sK254, inference(resolution, [status(thm)], [c208,d123])). % 223.25/37.79 cnf(d125, plain, singletonP(nil), inference(demodulation, [status(thm)], [d26,d124])). % 223.25/37.79 cnf(d126, plain, $false, inference(resolution, [status(thm)], [c128,d125])). % 223.25/37.79 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------