%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : SEU245+1 : TPTP v9.3.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n001.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 08:41:25 AM UTC 2026 % Result : Theorem 11.84s 2.11s % Output : CNFRefutation 11.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : SEU245+1 : TPTP v9.3.1. Released v3.3.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.10/0.36 % Computer : n001.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 26 09:03:42 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 11.84/2.11 % SZS status Theorem for theBenchmark.p % 11.84/2.11 % SZS output start CNFRefutation for theBenchmark.p % 11.84/2.11 fof(d6_wellord1, axiom, ! [X0] : ((relation(X0) => ! [X1] : 'relation$urestriction'(X0,X1) = 'set$uintersection2'(X0,'cartesian$uproduct2'(X1,X1))))). % 11.84/2.11 fof(d3_xboole_0, axiom, ! [X0] : ! [X1] : ! [X2] : ((X2 = 'set$uintersection2'(X0,X1) <=> ! [X3] : ((in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))))). % 11.84/2.11 fof(t16_wellord1, conjecture, ! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in(X0,'relation$urestriction'(X2,X1)) <=> (in(X0,X2) & in(X0,'cartesian$uproduct2'(X1,X1))))))). % 11.84/2.11 fof(negated_conjecture, negated_conjecture, ~! [X0] : ! [X1] : ! [X2] : ((relation(X2) => (in(X0,'relation$urestriction'(X2,X1)) <=> (in(X0,X2) & in(X0,'cartesian$uproduct2'(X1,X1)))))), inference(negate_conjecture, [status(cth)], [t16_wellord1])). % 11.84/2.11 cnf(c26, plain, ~relation(X0) | 'relation$urestriction'(X0,X1) = 'set$uintersection2'(X0,'cartesian$uproduct2'(X1,X1)), inference(clausification, [status(esa)], [d6_wellord1])). % 11.84/2.11 cnf(c27, plain, X0 != 'set$uintersection2'(X1,X2) | X3(X1,X2,X0), inference(clausification, [status(esa)], [d3_xboole_0])). % 11.84/2.11 cnf(c29, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X1), inference(clausification, [status(esa)], [d3_xboole_0])). % 11.84/2.11 cnf(c30, plain, ~X0(X1,X2,X3) | ~in(X4,X3) | in(X4,X2), inference(clausification, [status(esa)], [d3_xboole_0])). % 11.84/2.11 cnf(c31, plain, ~X0(X1,X2,X3) | in(X4,X3) | ~in(X4,X1) | ~in(X4,X2), inference(clausification, [status(esa)], [d3_xboole_0])). % 11.84/2.11 cnf(c38, plain, relation(sK37), inference(clausification, [status(esa)], [negated_conjecture])). % 11.84/2.11 cnf(c40, plain, in(sK35,'relation$urestriction'(sK37,sK36)) | in(sK35,sK37), inference(clausification, [status(esa)], [negated_conjecture])). % 11.84/2.11 cnf(c41, plain, in(sK35,'relation$urestriction'(sK37,sK36)) | in(sK35,'cartesian$uproduct2'(sK36,sK36)), inference(clausification, [status(esa)], [negated_conjecture])). % 11.84/2.11 cnf(c42, plain, ~in(sK35,sK37) | ~in(sK35,'cartesian$uproduct2'(sK36,sK36)) | ~in(sK35,'relation$urestriction'(sK37,sK36)), inference(clausification, [status(esa)], [negated_conjecture])). % 11.84/2.11 cnf(d0, plain, 'relation$urestriction'(sK37,X0) = 'set$uintersection2'(sK37,'cartesian$uproduct2'(X0,X0)), inference(resolution, [status(thm)], [c26,c38])). % 11.84/2.11 cnf(d1, plain, X1 != 'relation$urestriction'(sK37,X0) | 'Ts29'(sK37,'cartesian$uproduct2'(X0,X0),X1), inference(superposition, [status(thm)], [d0,c27])). % 11.84/2.11 cnf(d2, plain, 'Ts29'(sK37,'cartesian$uproduct2'(X0,X0),'relation$urestriction'(sK37,X0)), inference(equality_resolution, [status(thm)], [d1])). % 11.84/2.11 cnf(d3, plain, in(X0,'cartesian$uproduct2'(X1,X1)) | ~in(X0,'relation$urestriction'(sK37,X1)), inference(resolution, [status(thm)], [d2,c30])). % 11.84/2.11 cnf(d4, plain, in(X0,'relation$urestriction'(sK37,X1)) | ~in(X0,'cartesian$uproduct2'(X1,X1)) | ~in(X0,sK37), inference(resolution, [status(thm)], [d2,c31])). % 11.84/2.11 cnf(d5, plain, in(sK35,'relation$urestriction'(sK37,sK36)) | ~in(sK35,sK37) | in(sK35,'relation$urestriction'(sK37,sK36)), inference(resolution, [status(thm)], [d4,c41])). % 11.84/2.11 cnf(d6, plain, in(X0,sK37) | ~in(X0,'relation$urestriction'(sK37,X1)), inference(resolution, [status(thm)], [d2,c29])). % 11.84/2.11 cnf(d7, plain, in(sK35,sK37) | in(sK35,sK37), inference(resolution, [status(thm)], [d6,c40])). % 11.84/2.11 cnf(d8, plain, in(sK35,'relation$urestriction'(sK37,sK36)), inference(resolution, [status(thm)], [d7,d5])). % 11.84/2.11 cnf(d9, plain, in(sK35,'cartesian$uproduct2'(sK36,sK36)), inference(resolution, [status(thm)], [d8,d3])). % 11.84/2.11 cnf(d10, plain, ~in(sK35,'relation$urestriction'(sK37,sK36)) | ~in(sK35,'cartesian$uproduct2'(sK36,sK36)), inference(resolution, [status(thm)], [d7,c42])). % 11.84/2.11 cnf(d11, plain, ~in(sK35,'cartesian$uproduct2'(sK36,sK36)), inference(resolution, [status(thm)], [d8,d10])). % 11.84/2.11 cnf(d12, plain, $false, inference(resolution, [status(thm)], [d11,d9])). % 11.84/2.11 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------