%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEU153+1 : TPTP v9.3.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:41:03 AM UTC 2026 % Result : Theorem 11.94s 1.94s % Output : CNFRefutation 11.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SEU153+1 : TPTP v9.3.1. Released v3.3.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.37 % Computer : n003.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 26 08:42:54 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 11.94/1.94 % SZS status Theorem for theBenchmark.p % 11.94/1.94 % SZS output start CNFRefutation for theBenchmark.p % 11.94/1.94 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))). % 11.94/1.94 fof(d1_xboole_0, axiom, ! [X0] : ((X0 = 'empty$uset' <=> ! [X1] : ~in(X1,X0)))). % 11.94/1.94 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))). % 11.94/1.94 fof(d7_xboole_0, axiom, ! [X0] : ! [X1] : ((disjoint(X0,X1) <=> 'set$uintersection2'(X0,X1) = 'empty$uset'))). % 11.94/1.94 fof(symmetry_r1_xboole_0, axiom, ! [X0] : ! [X1] : ((disjoint(X0,X1) => disjoint(X1,X0)))). % 11.94/1.94 fof(l25_zfmisc_1, conjecture, ! [X0] : ! [X1] : ~((disjoint(singleton(X0),X1) & in(X0,X1)))). % 11.94/1.94 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ~((disjoint(singleton(X0),X1) & in(X0,X1))), inference(negate_conjecture, [status(cth)], [l25_zfmisc_1])). % 11.94/1.94 cnf(c2, plain, X0 != singleton(X1) | ~in(X2,X0) | X2 = X1, inference(clausification, [status(esa)], [d1_tarski])). % 11.94/1.94 cnf(c3, plain, X0 != singleton(X1) | in(X2,X0) | X2 != X1, inference(clausification, [status(esa)], [d1_tarski])). % 11.94/1.94 cnf(c8, plain, X0 != 'empty$uset' | ~in(X1,X0), inference(clausification, [status(esa)], [d1_xboole_0])). % 11.94/1.94 cnf(c9, plain, X0 = 'empty$uset' | in(sK10(X0),X0), inference(clausification, [status(esa)], [d1_xboole_0])). % 11.94/1.94 cnf(c10, plain, X0 != 'set$uintersection2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])). % 11.94/1.94 cnf(c14, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X1) | ~in(X4,X2), inference(clausification, [status(esa)], [d3_xboole_0])). % 11.94/1.94 cnf(c21, plain, ~disjoint(X0,X1) | 'set$uintersection2'(X0,X1) = 'empty$uset', inference(clausification, [status(esa)], [d7_xboole_0])). % 11.94/1.94 cnf(c27, plain, ~disjoint(X0,X1) | disjoint(X1,X0), inference(clausification, [status(esa)], [symmetry_r1_xboole_0])). % 11.94/1.94 cnf(c28, plain, disjoint(singleton(sK25),sK26), inference(clausification, [status(esa)], [negated_conjecture])). % 11.94/1.94 cnf(c29, plain, in(sK25,sK26), inference(clausification, [status(esa)], [negated_conjecture])). % 11.94/1.94 cnf(d0, plain, X0 != X1 | in(X0,singleton(X1)), inference(equality_resolution, [status(thm)], [c3])). % 11.94/1.94 cnf(d1, plain, in(X0,singleton(X0)), inference(equality_resolution, [status(thm)], [d0])). % 11.94/1.94 cnf(d2, plain, 'Ts11'(X0,X1,'set$uintersection2'(X0,X1)), inference(equality_resolution, [status(thm)], [c10])). % 11.94/1.94 cnf(d3, plain, disjoint(sK26,singleton(sK25)), inference(resolution, [status(thm)], [c27,c28])). % 11.94/1.94 cnf(d4, plain, 'set$uintersection2'(sK26,singleton(sK25)) = 'empty$uset', inference(resolution, [status(thm)], [c21,d3])). % 11.94/1.94 cnf(d5, plain, 'Ts11'(sK26,singleton(sK25),'empty$uset'), inference(superposition, [status(thm)], [d4,d2])). % 11.94/1.94 cnf(d6, plain, in(X0,'empty$uset') | ~in(X0,singleton(sK25)) | ~in(X0,sK26), inference(resolution, [status(thm)], [d5,c14])). % 11.94/1.94 cnf(d7, plain, ~in(X0,'empty$uset'), inference(equality_resolution, [status(thm)], [c8])). % 11.94/1.94 cnf(d8, plain, ~in(X0,singleton(sK25)) | ~in(X0,sK26), inference(resolution, [status(thm)], [d7,d6])). % 11.94/1.94 cnf(d9, plain, ~in(sK10(singleton(sK25)),sK26) | singleton(sK25) = 'empty$uset', inference(resolution, [status(thm)], [d8,c9])). % 11.94/1.94 cnf(d10, plain, X0 = X1 | ~in(X0,singleton(X1)), inference(equality_resolution, [status(thm)], [c2])). % 11.94/1.94 cnf(d11, plain, sK10(singleton(X0)) = X0 | singleton(X0) = 'empty$uset', inference(resolution, [status(thm)], [d10,c9])). % 11.94/1.94 cnf(d12, plain, ~in(sK25,sK26) | singleton(sK25) = 'empty$uset' | singleton(sK25) = 'empty$uset', inference(superposition, [status(thm)], [d11,d9])). % 11.94/1.94 cnf(d13, plain, singleton(sK25) = 'empty$uset', inference(resolution, [status(thm)], [c29,d12])). % 11.94/1.94 cnf(d14, plain, in(sK25,'empty$uset'), inference(superposition, [status(thm)], [d13,d1])). % 11.94/1.94 cnf(d15, plain, $false, inference(resolution, [status(thm)], [d7,d14])). % 11.94/1.94 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------