%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET921+1 : TPTP v9.3.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n019.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 08:33:34 AM UTC 2026 % Result : Theorem 10.49s 1.71s % Output : CNFRefutation 10.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SET921+1 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.08/0.35 % Computer : n019.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 26 08:25:49 UTC 2026 % 0.08/0.35 % CPUTime : % 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 10.49/1.71 % SZS status Theorem for theBenchmark.p % 10.49/1.71 % SZS output start CNFRefutation for theBenchmark.p % 10.49/1.71 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))). % 10.49/1.71 fof(d4_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$udifference'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & ~in(X3,X1))))))). % 10.49/1.71 fof(t64_zfmisc_1, conjecture, ! [X0] : ! [X1] : ! [X2] : ((in(X0,'set$udifference'(X1,singleton(X2))) <=> (in(X0,X1) & X0 != X2)))). % 10.49/1.71 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((in(X0,'set$udifference'(X1,singleton(X2))) <=> (in(X0,X1) & X0 != X2))), inference(negate_conjecture, [status(cth)], [t64_zfmisc_1])). % 10.49/1.71 cnf(c1, plain, X0 != singleton(X1) | ~in(X2,X0) | X2 = X1, inference(clausification, [status(esa)], [d1_tarski])). % 10.49/1.71 cnf(c2, plain, X0 != singleton(X1) | in(X2,X0) | X2 != X1, inference(clausification, [status(esa)], [d1_tarski])). % 10.49/1.71 cnf(c7, plain, X0 != 'set$udifference'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d4_xboole_0])). % 10.49/1.71 cnf(c9, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1), inference(clausification, [status(esa)], [d4_xboole_0])). % 10.49/1.71 cnf(c10, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | ~in(X4,X2), inference(clausification, [status(esa)], [d4_xboole_0])). % 10.49/1.71 cnf(c11, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X1) | in(X4,X2), inference(clausification, [status(esa)], [d4_xboole_0])). % 10.49/1.71 cnf(c21, plain, in(sK14,'set$udifference'(sK15,singleton(sK16))) | in(sK14,sK15), inference(clausification, [status(esa)], [negated_conjecture])). % 10.49/1.71 cnf(c22, plain, in(sK14,'set$udifference'(sK15,singleton(sK16))) | sK14 != sK16, inference(clausification, [status(esa)], [negated_conjecture])). % 10.49/1.71 cnf(c23, plain, ~in(sK14,sK15) | sK14 = sK16 | ~in(sK14,'set$udifference'(sK15,singleton(sK16))), inference(clausification, [status(esa)], [negated_conjecture])). % 10.49/1.71 cnf(d0, plain, 'Ts6'(X0,X1,'set$udifference'(X0,X1)), inference(equality_resolution, [status(thm)], [c7])). % 10.49/1.71 cnf(d1, plain, ~in(X0,'set$udifference'(X1,X2)) | ~in(X0,X2), inference(resolution, [status(thm)], [c10,d0])). % 10.49/1.71 cnf(d2, plain, X0 = X1 | ~in(X0,singleton(X1)), inference(equality_resolution, [status(thm)], [c1])). % 10.49/1.71 cnf(d3, plain, in(X0,X1) | ~in(X0,'set$udifference'(X1,X2)), inference(resolution, [status(thm)], [c9,d0])). % 10.49/1.71 cnf(d4, plain, in(sK14,sK15) | in(sK14,sK15), inference(resolution, [status(thm)], [d3,c21])). % 10.49/1.71 cnf(d5, plain, sK14 = sK16 | ~in(sK14,'set$udifference'(sK15,singleton(sK16))), inference(resolution, [status(thm)], [d4,c23])). % 10.49/1.71 cnf(d6, plain, in(X0,'set$udifference'(X1,X2)) | in(X0,X2) | ~in(X0,X1), inference(resolution, [status(thm)], [c11,d0])). % 10.49/1.71 cnf(d7, plain, in(sK14,singleton(sK16)) | ~in(sK14,sK15) | sK14 = sK16, inference(resolution, [status(thm)], [d6,d5])). % 10.49/1.71 cnf(d8, plain, sK14 = sK16 | in(sK14,singleton(sK16)), inference(resolution, [status(thm)], [d4,d7])). % 10.49/1.71 cnf(d9, plain, sK14 = sK16 | sK14 = sK16, inference(resolution, [status(thm)], [d8,d2])). % 10.49/1.71 cnf(d10, plain, in(sK14,'set$udifference'(sK15,singleton(sK16))), inference(resolution, [status(thm)], [d9,c22])). % 10.49/1.71 cnf(d11, plain, in(sK14,'set$udifference'(sK15,singleton(sK14))), inference(demodulation, [status(thm)], [d10,d9])). % 10.49/1.71 cnf(d12, plain, ~in(sK14,singleton(sK14)), inference(resolution, [status(thm)], [d11,d1])). % 10.49/1.71 cnf(d13, plain, X0 != X1 | in(X0,singleton(X1)), inference(equality_resolution, [status(thm)], [c2])). % 10.49/1.71 cnf(d14, plain, in(X0,singleton(X0)), inference(equality_resolution, [status(thm)], [d13])). % 10.49/1.71 cnf(d15, plain, $false, inference(resolution, [status(thm)], [d14,d12])). % 10.49/1.71 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------