%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET874+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 : n002.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 08:33:28 AM UTC 2026 % Result : Theorem 15.53s 2.40s % Output : CNFRefutation 15.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SET874+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 % 0.09/0.37 % Computer : n002.cluster.edu % 0.09/0.37 % Model : x86_64 x86_64 % 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.37 % Memory : 8046.5625MB % 0.09/0.37 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Sat Sep 26 08:26:37 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 15.53/2.40 % SZS status Theorem for theBenchmark.p % 15.53/2.40 % SZS output start CNFRefutation for theBenchmark.p % 15.53/2.40 fof(d2_tarski, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'unordered$upair'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (X3 = X0 | X3 = X1)))))). % 15.53/2.40 fof(l23_zfmisc_1, axiom, ! [X0] : ! [X1] : ((in(X0,X1) => 'set$uunion2'(singleton(X0),X1) = X1))). % 15.53/2.40 fof(t14_zfmisc_1, conjecture, ! [X0] : ! [X1] : 'set$uunion2'(singleton(X0),'unordered$upair'(X0,X1)) = 'unordered$upair'(X0,X1)). % 15.53/2.40 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : 'set$uunion2'(singleton(X0),'unordered$upair'(X0,X1)) = 'unordered$upair'(X0,X1), inference(negate_conjecture, [status(cth)], [t14_zfmisc_1])). % 15.53/2.40 cnf(c3, plain, X0 != 'unordered$upair'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_tarski])). % 15.53/2.40 cnf(c6, plain, ~X0(X1,X2,X3) | in(X4,X3) | X4 != X1, inference(clausification, [status(esa)], [d2_tarski])). % 15.53/2.40 cnf(c17, plain, ~in(X0,X1) | 'set$uunion2'(singleton(X0),X1) = X1, inference(clausification, [status(esa)], [l23_zfmisc_1])). % 15.53/2.40 cnf(c20, plain, 'set$uunion2'(singleton(sK22),'unordered$upair'(sK22,sK23)) != 'unordered$upair'(sK22,sK23), inference(clausification, [status(esa)], [negated_conjecture])). % 15.53/2.40 cnf(d0, plain, 'Ts6'(X0,X1,'unordered$upair'(X0,X1)), inference(equality_resolution, [status(thm)], [c3])). % 15.53/2.40 cnf(d1, plain, in(X0,X1) | ~'Ts6'(X0,X2,X1), inference(equality_resolution, [status(thm)], [c6])). % 15.53/2.40 cnf(d2, plain, in(X0,'unordered$upair'(X0,X1)), inference(resolution, [status(thm)], [d1,d0])). % 15.53/2.40 cnf(d3, plain, 'set$uunion2'(singleton(X0),'unordered$upair'(X0,X1)) = 'unordered$upair'(X0,X1), inference(resolution, [status(thm)], [d2,c17])). % 15.53/2.40 cnf(d4, plain, $false, inference(resolution, [status(thm)], [d3,c20])). % 15.53/2.40 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------