%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET945+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 08:33:37 AM UTC 2026 % Result : Theorem 12.01s 3.98s % Output : CNFRefutation 12.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SET945+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 % 0.16/0.44 % Computer : n003.cluster.edu % 0.16/0.44 % Model : x86_64 x86_64 % 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.44 % Memory : 8046.5625MB % 0.16/0.44 % OS : Linux 6.8.0-71-generic % 0.16/0.44 % CPULimit : 300 % 0.16/0.44 % WCLimit : 300 % 0.16/0.44 % DateTime : Sat Sep 26 08:28:53 UTC 2026 % 0.16/0.44 % CPUTime : % 0.16/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.01/3.98 % SZS status Theorem for theBenchmark.p % 12.01/3.98 % SZS output start CNFRefutation for theBenchmark.p % 12.01/3.98 fof(commutativity_k3_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0)). % 12.01/3.98 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))). % 12.01/3.98 fof(d4_tarski, axiom, ! [X0] : ! [X1] : ((X1 = union(X0) <=> ! [X2] : ((in(X2,X1) <=> ? [X3] : ((in(X2,X3) & in(X3,X0)))))))). % 12.01/3.98 fof(symmetry_r1_xboole_0, axiom, ! [X0] : ! [X1] : ((disjoint(X0,X1) => disjoint(X1,X0)))). % 12.01/3.98 fof(t4_xboole_0, axiom, ! [X0] : ! [X1] : ((~((~disjoint(X0,X1) & ! [X2] : ~in(X2,'set$uintersection2'(X0,X1)))) & ~((? [X2] : in(X2,'set$uintersection2'(X0,X1)) & disjoint(X0,X1)))))). % 12.01/3.98 fof(t98_zfmisc_1, conjecture, ! [X0] : ! [X1] : ((! [X2] : ((in(X2,X0) => disjoint(X2,X1))) => disjoint(union(X0),X1)))). % 12.01/3.98 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ((! [X2] : ((in(X2,X0) => disjoint(X2,X1))) => disjoint(union(X0),X1))), inference(negate_conjecture, [status(cth)], [t98_zfmisc_1])). % 12.01/3.98 cnf(c1, plain, 'set$uintersection2'(X0,X1) = 'set$uintersection2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k3_xboole_0])). % 12.01/3.98 cnf(c2, plain, X0 != 'set$uintersection2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])). % 12.01/3.98 cnf(c4, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1), inference(clausification, [status(esa)], [d3_xboole_0])). % 12.01/3.98 cnf(c6, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X1) | ~in(X4,X2), inference(clausification, [status(esa)], [d3_xboole_0])). % 12.01/3.98 cnf(c13, plain, X0 != union(X1) | X2(X1,X0), inference(clausification, [status(esa)], [d4_tarski])). % 12.01/3.98 cnf(c15, plain, ~X0(X1,X2) | ~in(X3,X2) | in(X3,sK14(X1,X3)), inference(clausification, [status(esa)], [d4_tarski])). % 12.01/3.98 cnf(c16, plain, ~X0(X1,X2) | ~in(X3,X2) | in(sK14(X1,X3),X1), inference(clausification, [status(esa)], [d4_tarski])). % 12.01/3.98 cnf(c27, plain, ~disjoint(X0,X1) | disjoint(X1,X0), inference(clausification, [status(esa)], [symmetry_r1_xboole_0])). % 12.01/3.98 cnf(c28, plain, disjoint(X0,X1) | in(sK27(X0,X1),'set$uintersection2'(X0,X1)), inference(clausification, [status(esa)], [t4_xboole_0])). % 12.01/3.98 cnf(c29, plain, ~in(X0,'set$uintersection2'(X1,X2)) | ~disjoint(X1,X2), inference(clausification, [status(esa)], [t4_xboole_0])). % 12.01/3.98 cnf(c30, plain, ~in(X0,sK29) | disjoint(X0,sK30), inference(clausification, [status(esa)], [negated_conjecture])). % 12.01/3.98 cnf(c31, plain, ~disjoint(union(sK29),sK30), inference(clausification, [status(esa)], [negated_conjecture])). % 12.01/3.98 cnf(d0, plain, 'Ts4'(X0,X1,'set$uintersection2'(X0,X1)), inference(equality_resolution, [status(thm)], [c2])). % 12.01/3.98 cnf(d1, plain, in(X0,X1) | ~in(X0,'set$uintersection2'(X1,X2)), inference(resolution, [status(thm)], [d0,c4])). % 12.01/3.98 cnf(d2, plain, in(sK27(X0,X1),X0) | disjoint(X0,X1), inference(resolution, [status(thm)], [d1,c28])). % 12.01/3.98 cnf(d3, plain, in(sK27(X0,X1),'set$uintersection2'(X1,X0)) | disjoint(X0,X1), inference(superposition, [status(thm)], [c1,c28])). % 12.01/3.98 cnf(d4, plain, in(sK27(X0,X1),X1) | disjoint(X0,X1), inference(resolution, [status(thm)], [d1,d3])). % 12.01/3.98 cnf(d5, plain, 'Ts10'(X0,union(X0)), inference(equality_resolution, [status(thm)], [c13])). % 12.01/3.98 cnf(d6, plain, ~in(X0,union(X1)) | in(X0,sK14(X1,X0)), inference(resolution, [status(thm)], [d5,c15])). % 12.01/3.98 cnf(d7, plain, ~in(X0,union(X1)) | in(sK14(X1,X0),X1), inference(resolution, [status(thm)], [d5,c16])). % 12.01/3.98 cnf(d8, plain, ~in(X0,union(sK29)) | disjoint(sK14(sK29,X0),sK30), inference(resolution, [status(thm)], [d7,c30])). % 12.01/3.98 cnf(d9, plain, in(X0,'set$uintersection2'(X1,X2)) | ~in(X0,X1) | ~in(X0,X2), inference(resolution, [status(thm)], [d0,c6])). % 12.01/3.98 cnf(d10, plain, ~in(X0,X1) | ~in(X0,X2) | ~disjoint(X2,X1), inference(resolution, [status(thm)], [d9,c29])). % 12.01/3.98 cnf(d11, plain, ~in(X0,sK14(sK29,X1)) | ~in(X0,sK30) | ~in(X1,union(sK29)), inference(resolution, [status(thm)], [d10,d8])). % 12.01/3.98 cnf(d12, plain, ~in(X0,union(sK29)) | ~in(X0,sK30) | ~in(X0,union(sK29)), inference(resolution, [status(thm)], [d11,d6])). % 12.01/3.98 cnf(d13, plain, ~in(sK27(X0,union(sK29)),sK30) | disjoint(X0,union(sK29)), inference(resolution, [status(thm)], [d12,d4])). % 12.01/3.98 cnf(d14, plain, disjoint(sK30,union(sK29)) | disjoint(sK30,union(sK29)), inference(resolution, [status(thm)], [d13,d2])). % 12.01/3.98 cnf(d15, plain, disjoint(union(sK29),sK30), inference(resolution, [status(thm)], [d14,c27])). % 12.01/3.98 cnf(d16, plain, $false, inference(resolution, [status(thm)], [c31,d15])). % 12.01/3.98 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------