%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SET908+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 : n018.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 08:33:32 AM UTC 2026 % Result : Theorem 18.50s 2.84s % Output : CNFRefutation 18.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : SET908+1 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.44 % Computer : n018.cluster.edu % 0.18/0.44 % Model : x86_64 x86_64 % 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.44 % Memory : 8046.5625MB % 0.18/0.44 % OS : Linux 6.8.0-71-generic % 0.18/0.44 % CPULimit : 300 % 0.18/0.44 % WCLimit : 300 % 0.18/0.44 % DateTime : Sat Sep 26 08:27:23 UTC 2026 % 0.18/0.44 % CPUTime : % 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 18.50/2.84 % SZS status Theorem for theBenchmark.p % 18.50/2.84 % SZS output start CNFRefutation for theBenchmark.p % 18.50/2.84 fof(commutativity_k2_xboole_0, axiom, ! [X0] : ! [X1] : 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0)). % 18.50/2.84 fof(d1_tarski, axiom, ! [X0] : ! [X1] : ((X1 = singleton(X0) <=> ! [X2] : ((in(X2,X1) <=> X2 = X0))))). % 18.50/2.84 fof(d1_xboole_0, axiom, ! [X0] : ((X0 = 'empty$uset' <=> ! [X1] : ~in(X1,X0)))). % 18.50/2.84 fof(d2_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uunion2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) | in(X3,X1))))))). % 18.50/2.84 fof(t49_zfmisc_1, conjecture, ! [X0] : ! [X1] : 'set$uunion2'(singleton(X0),X1) != 'empty$uset'). % 18.50/2.84 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : 'set$uunion2'(singleton(X0),X1) != 'empty$uset', inference(negate_conjecture, [status(cth)], [t49_zfmisc_1])). % 18.50/2.84 cnf(c1, plain, 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0), inference(clausification, [status(esa)], [commutativity_k2_xboole_0])). % 18.50/2.84 cnf(c3, plain, X0 != singleton(X1) | in(X2,X0) | X2 != X1, inference(clausification, [status(esa)], [d1_tarski])). % 18.50/2.84 cnf(c8, plain, X0 != 'empty$uset' | ~in(X1,X0), inference(clausification, [status(esa)], [d1_xboole_0])). % 18.50/2.84 cnf(c9, plain, X0 = 'empty$uset' | in(sK10(X0),X0), inference(clausification, [status(esa)], [d1_xboole_0])). % 18.50/2.84 cnf(c10, plain, X0 != 'set$uunion2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d2_xboole_0])). % 18.50/2.84 cnf(c14, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X2), inference(clausification, [status(esa)], [d2_xboole_0])). % 18.50/2.84 cnf(c27, plain, 'set$uunion2'(singleton(sK25),sK26) = 'empty$uset', inference(clausification, [status(esa)], [negated_conjecture])). % 18.50/2.84 cnf(d0, plain, 'set$uunion2'(sK26,singleton(sK25)) = 'empty$uset', inference(demodulation, [status(thm)], [c27,c1])). % 18.50/2.84 cnf(d1, plain, X0 != 'empty$uset' | 'Ts11'(sK26,singleton(sK25),X0), inference(superposition, [status(thm)], [d0,c10])). % 18.50/2.84 cnf(d2, plain, 'Ts11'(sK26,singleton(sK25),'empty$uset'), inference(equality_resolution, [status(thm)], [d1])). % 18.50/2.84 cnf(d3, plain, in(X0,'empty$uset') | ~in(X0,singleton(sK25)), inference(resolution, [status(thm)], [c14,d2])). % 18.50/2.84 cnf(d4, plain, ~in(X0,'empty$uset'), inference(equality_resolution, [status(thm)], [c8])). % 18.50/2.84 cnf(d5, plain, ~in(X0,singleton(sK25)), inference(resolution, [status(thm)], [d4,d3])). % 18.50/2.84 cnf(d6, plain, singleton(sK25) = 'empty$uset', inference(resolution, [status(thm)], [d5,c9])). % 18.50/2.84 cnf(d7, plain, X0 != 'empty$uset' | X1 != sK25 | in(X1,X0), inference(superposition, [status(thm)], [d6,c3])). % 18.50/2.84 cnf(d8, plain, X0 != sK25 | in(X0,'empty$uset'), inference(equality_resolution, [status(thm)], [d7])). % 18.50/2.84 cnf(d9, plain, X0 != sK25, inference(resolution, [status(thm)], [d4,d8])). % 18.50/2.84 cnf(d10, plain, $false, inference(equality_resolution, [status(thm)], [d9])). % 18.50/2.84 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------