%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET890+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 : 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 08:33:30 AM UTC 2026 % Result : Theorem 16.70s 5.28s % Output : CNFRefutation 16.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SET890+1 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.20/0.44 % Computer : n003.cluster.edu % 0.20/0.44 % Model : x86_64 x86_64 % 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.44 % Memory : 8046.5625MB % 0.20/0.44 % OS : Linux 6.8.0-71-generic % 0.20/0.44 % CPULimit : 300 % 0.20/0.44 % WCLimit : 300 % 0.20/0.44 % DateTime : Sat Sep 26 08:26:10 UTC 2026 % 0.20/0.44 % CPUTime : % 0.20/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 16.70/5.28 % SZS status Theorem for theBenchmark.p % 16.70/5.28 % SZS output start CNFRefutation for theBenchmark.p % 16.70/5.28 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))). % 16.70/5.28 fof(d4_tarski, axiom, ! [X0] : ! [X1] : ((X1 = union(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : ((in(X2,X3) & in(X3,X0)))))))). % 16.70/5.28 fof(t31_zfmisc_1, conjecture, ! [X0] : union(singleton(X0)) = X0). % 16.70/5.28 fof(negated_conjecture, negated_conjecture, ~! [X0] : union(singleton(X0)) = X0, inference(negate_conjecture, [status(cth)], [t31_zfmisc_1])). % 16.70/5.28 cnf(c4, plain, singleton(X0) != X1 | ~in(X2,X1) | X0 = X2, inference(clausification, [status(esa)], [d1_tarski])). % 16.70/5.28 cnf(c5, plain, singleton(X0) != X1 | in(X2,X1) | X0 != X2, inference(clausification, [status(esa)], [d1_tarski])). % 16.70/5.28 cnf(c16, plain, union(X0) = X1 | in(sK18(X0,X1),X1) | X2(X0,X1,sK18(X0,X1)), inference(clausification, [status(esa)], [d4_tarski])). % 16.70/5.28 cnf(c17, plain, union(X0) = X1 | ~in(sK18(X0,X1),X2) | ~in(X2,X0) | X3(X0,X1,sK18(X0,X1)), inference(clausification, [status(esa)], [d4_tarski])). % 16.70/5.28 cnf(c18, plain, ~X0(X1,X2,X3) | ~in(X3,X2), inference(clausification, [status(esa)], [d4_tarski])). % 16.70/5.28 cnf(c19, plain, ~X0(X1,X2,X3) | in(X3,sK20(X1,X3)), inference(clausification, [status(esa)], [d4_tarski])). % 16.70/5.28 cnf(c20, plain, ~X0(X1,X2,X3) | in(sK20(X1,X3),X1), inference(clausification, [status(esa)], [d4_tarski])). % 16.70/5.28 cnf(c25, plain, union(singleton(sK27)) != sK27, inference(clausification, [status(esa)], [negated_conjecture])). % 16.70/5.28 cnf(d0, plain, X0 != sK27 | in(sK18(singleton(sK27),X0),X0) | 'Ts12'(singleton(sK27),X0,sK18(singleton(sK27),X0)), inference(superposition, [status(thm)], [c16,c25])). % 16.70/5.28 cnf(d1, plain, in(sK18(singleton(sK27),sK27),sK27) | 'Ts12'(singleton(sK27),sK27,sK18(singleton(sK27),sK27)), inference(equality_resolution, [status(thm)], [d0])). % 16.70/5.28 cnf(d2, plain, singleton(X0) != X1 | in(X0,X1), inference(equality_resolution, [status(thm)], [c5])). % 16.70/5.28 cnf(d3, plain, in(X0,singleton(X0)), inference(equality_resolution, [status(thm)], [d2])). % 16.70/5.28 cnf(d4, plain, union(singleton(X0)) = X1 | ~in(sK18(singleton(X0),X1),X0) | 'Ts12'(singleton(X0),X1,sK18(singleton(X0),X1)), inference(resolution, [status(thm)], [c17,d3])). % 16.70/5.28 cnf(d5, plain, union(singleton(sK27)) = sK27 | 'Ts12'(singleton(sK27),sK27,sK18(singleton(sK27),sK27)) | 'Ts12'(singleton(sK27),sK27,sK18(singleton(sK27),sK27)), inference(resolution, [status(thm)], [d4,d1])). % 16.70/5.28 cnf(d6, plain, 'Ts12'(singleton(sK27),sK27,sK18(singleton(sK27),sK27)), inference(resolution, [status(thm)], [c25,d5])). % 16.70/5.28 cnf(d7, plain, X0 = X1 | ~in(X1,singleton(X0)), inference(equality_resolution, [status(thm)], [c4])). % 16.70/5.28 cnf(d8, plain, in(sK20(singleton(sK27),sK18(singleton(sK27),sK27)),singleton(sK27)), inference(resolution, [status(thm)], [d6,c20])). % 16.70/5.28 cnf(d9, plain, sK27 = sK20(singleton(sK27),sK18(singleton(sK27),sK27)), inference(resolution, [status(thm)], [d8,d7])). % 16.70/5.28 cnf(d10, plain, in(sK18(singleton(sK27),sK27),sK20(singleton(sK27),sK18(singleton(sK27),sK27))), inference(resolution, [status(thm)], [d6,c19])). % 16.70/5.28 cnf(d11, plain, in(sK18(singleton(sK27),sK27),sK27), inference(demodulation, [status(thm)], [d10,d9])). % 16.70/5.28 cnf(d12, plain, ~'Ts12'(X0,sK27,sK18(singleton(sK27),sK27)), inference(resolution, [status(thm)], [d11,c18])). % 16.70/5.28 cnf(d13, plain, $false, inference(resolution, [status(thm)], [d12,d6])). % 16.70/5.28 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------