%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET941+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 : n006.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 08:33:36 AM UTC 2026 % Result : Theorem 10.47s 1.77s % Output : CNFRefutation 10.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : SET941+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 % 0.08/0.36 % Computer : n006.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 08:27:10 UTC 2026 % 0.08/0.36 % CPUTime : % 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 10.47/1.77 % SZS status Theorem for theBenchmark.p % 10.47/1.77 % SZS output start CNFRefutation for theBenchmark.p % 10.47/1.77 fof(d3_tarski, axiom, ! [X0] : ! [X1] : ((subset(X0,X1) <=> ! [X2] : ((in(X2,X0) => in(X2,X1)))))). % 10.47/1.77 fof(d4_tarski, axiom, ! [X0] : ! [X1] : ((X1 = union(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : ((in(X2,X3) & in(X3,X0)))))))). % 10.47/1.77 fof(t94_zfmisc_1, conjecture, ! [X0] : ! [X1] : ((! [X2] : ((in(X2,X0) => subset(X2,X1))) => subset(union(X0),X1)))). % 10.47/1.77 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((! [X2] : ((in(X2,X0) => subset(X2,X1))) => subset(union(X0),X1))), inference(negate_conjecture, [status(cth)], [t94_zfmisc_1])). % 10.47/1.77 cnf(c1, plain, ~subset(X0,X1) | ~in(X2,X0) | in(X2,X1), inference(clausification, [status(esa)], [d3_tarski])). % 10.47/1.77 cnf(c2, plain, subset(X0,X1) | in(sK5(X0,X1),X0), inference(clausification, [status(esa)], [d3_tarski])). % 10.47/1.77 cnf(c3, plain, subset(X0,X1) | ~in(sK5(X0,X1),X1), inference(clausification, [status(esa)], [d3_tarski])). % 10.47/1.77 cnf(c4, plain, X0 != union(X1) | X2(X1,X0), inference(clausification, [status(esa)], [d4_tarski])). % 10.47/1.77 cnf(c6, plain, ~X0(X1,X2) | ~in(X3,X2) | in(X3,sK10(X1,X3)), inference(clausification, [status(esa)], [d4_tarski])). % 10.47/1.77 cnf(c7, plain, ~X0(X1,X2) | ~in(X3,X2) | in(sK10(X1,X3),X1), inference(clausification, [status(esa)], [d4_tarski])). % 10.47/1.77 cnf(c18, plain, ~in(X0,sK19) | subset(X0,sK20), inference(clausification, [status(esa)], [negated_conjecture])). % 10.47/1.77 cnf(c19, plain, ~subset(union(sK19),sK20), inference(clausification, [status(esa)], [negated_conjecture])). % 10.47/1.77 cnf(d0, plain, 'Ts6'(X0,union(X0)), inference(equality_resolution, [status(thm)], [c4])). % 10.47/1.77 cnf(d1, plain, ~in(X0,union(X1)) | in(X0,sK10(X1,X0)), inference(resolution, [status(thm)], [d0,c6])). % 10.47/1.77 cnf(d2, plain, ~in(X0,union(X1)) | in(sK10(X1,X0),X1), inference(resolution, [status(thm)], [d0,c7])). % 10.47/1.77 cnf(d3, plain, ~in(X0,union(sK19)) | subset(sK10(sK19,X0),sK20), inference(resolution, [status(thm)], [d2,c18])). % 10.47/1.77 cnf(d4, plain, ~in(X0,union(sK19)) | in(X1,sK20) | ~in(X1,sK10(sK19,X0)), inference(resolution, [status(thm)], [d3,c1])). % 10.47/1.77 cnf(d5, plain, in(X0,sK20) | ~in(X0,union(sK19)) | ~in(X0,union(sK19)), inference(resolution, [status(thm)], [d4,d1])). % 10.47/1.77 cnf(d6, plain, in(sK5(union(sK19),X0),sK20) | subset(union(sK19),X0), inference(resolution, [status(thm)], [d5,c2])). % 10.47/1.77 cnf(d7, plain, subset(union(sK19),sK20) | subset(union(sK19),sK20), inference(resolution, [status(thm)], [d6,c3])). % 10.47/1.77 cnf(d8, plain, $false, inference(resolution, [status(thm)], [c19,d7])). % 10.47/1.77 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------