%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET903+1 : TPTP v9.3.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n014.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 08:33:31 AM UTC 2026 % Result : Theorem 10.59s 2.77s % Output : CNFRefutation 10.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SET903+1 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.08/0.36 % Computer : n014.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Sat Sep 26 08:24:47 UTC 2026 % 0.08/0.36 % CPUTime : % 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.59/2.77 % SZS status Theorem for theBenchmark.p % 10.59/2.77 % SZS output start CNFRefutation for theBenchmark.p % 10.59/2.77 fof(t43_zfmisc_1, axiom, ! [X0] : ! [X1] : ! [X2] : ~((singleton(X0) = 'set$uunion2'(X1,X2) & (~((X1 = singleton(X0) & X2 = singleton(X0))) & (~((X1 = 'empty$uset' & X2 = singleton(X0))) & ~((X1 = singleton(X0) & X2 = 'empty$uset'))))))). % 10.59/2.77 fof(t44_zfmisc_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ~((singleton(X0) = 'set$uunion2'(X1,X2) & (X1 != X2 & (X1 != 'empty$uset' & X2 != 'empty$uset'))))). % 10.59/2.77 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ~((singleton(X0) = 'set$uunion2'(X1,X2) & (X1 != X2 & (X1 != 'empty$uset' & X2 != 'empty$uset')))), inference(negate_conjecture, [status(cth)], [t44_zfmisc_1])). % 10.59/2.77 cnf(c7, plain, singleton(X0) != 'set$uunion2'(X1,X2) | X1 = singleton(X0) | ~X3(X0,X1,X2), inference(clausification, [status(esa)], [t43_zfmisc_1])). % 10.59/2.77 cnf(c8, plain, singleton(X0) != 'set$uunion2'(X1,X2) | X2 = singleton(X0) | ~X3(X0,X1,X2), inference(clausification, [status(esa)], [t43_zfmisc_1])). % 10.59/2.77 cnf(c9, plain, X0(X1,X2,X3) | X2 = 'empty$uset' | X2 = singleton(X1), inference(clausification, [status(esa)], [t43_zfmisc_1])). % 10.59/2.77 cnf(c10, plain, X0(X1,X2,X3) | X2 = 'empty$uset' | X3 = 'empty$uset', inference(clausification, [status(esa)], [t43_zfmisc_1])). % 10.59/2.77 cnf(c13, plain, singleton(sK14) = 'set$uunion2'(sK15,sK16), inference(clausification, [status(esa)], [negated_conjecture])). % 10.59/2.77 cnf(c14, plain, sK15 != sK16, inference(clausification, [status(esa)], [negated_conjecture])). % 10.59/2.77 cnf(c15, plain, sK15 != 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])). % 10.59/2.77 cnf(c16, plain, sK16 != 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])). % 10.59/2.77 cnf(d0, plain, singleton(X0) != singleton(sK14) | sK15 = singleton(X0) | ~'Ts10'(X0,sK15,sK16), inference(superposition, [status(thm)], [c13,c7])). % 10.59/2.77 cnf(d1, plain, sK15 = singleton(sK14) | ~'Ts10'(sK14,sK15,sK16), inference(equality_resolution, [status(thm)], [d0])). % 10.59/2.77 cnf(d2, plain, sK15 = 'empty$uset' | sK15 = singleton(sK14) | sK15 = singleton(sK14), inference(resolution, [status(thm)], [c9,d1])). % 10.59/2.77 cnf(d3, plain, sK15 = singleton(sK14), inference(resolution, [status(thm)], [c15,d2])). % 10.59/2.77 cnf(d4, plain, sK15 = 'set$uunion2'(sK15,sK16), inference(demodulation, [status(thm)], [c13,d3])). % 10.59/2.77 cnf(d5, plain, singleton(X0) != sK15 | sK16 = singleton(X0) | ~'Ts10'(X0,sK15,sK16), inference(superposition, [status(thm)], [d4,c8])). % 10.59/2.77 cnf(d6, plain, sK15 != sK15 | sK16 = singleton(sK14) | ~'Ts10'(sK14,sK15,sK16), inference(superposition, [status(thm)], [d3,d5])). % 10.59/2.77 cnf(d7, plain, sK15 != sK15 | sK16 = sK15 | ~'Ts10'(sK14,sK15,sK16), inference(demodulation, [status(thm)], [d6,d3])). % 10.59/2.77 cnf(d8, plain, sK16 = sK15 | ~'Ts10'(sK14,sK15,sK16), inference(equality_resolution, [status(thm)], [d7])). % 10.59/2.77 cnf(d9, plain, sK16 = sK15 | sK15 = 'empty$uset' | sK16 = 'empty$uset', inference(resolution, [status(thm)], [d8,c10])). % 10.59/2.77 cnf(d10, plain, sK16 = 'empty$uset' | sK16 = sK15, inference(resolution, [status(thm)], [c15,d9])). % 10.59/2.77 cnf(d11, plain, sK16 = sK15, inference(resolution, [status(thm)], [c16,d10])). % 10.59/2.77 cnf(d12, plain, sK15 != sK15, inference(demodulation, [status(thm)], [c14,d11])). % 10.59/2.77 cnf(d13, plain, $false, inference(equality_resolution, [status(thm)], [d12])). % 10.59/2.77 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------