%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM561+1 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n007.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 08:13:09 AM UTC 2026 % Result : Theorem 18.98s 9.65s % Output : CNFRefutation 18.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM561+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.37 % Computer : n007.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 26 03:12:24 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 18.98/9.65 % SZS status Theorem for theBenchmark.p % 18.98/9.65 % SZS output start CNFRefutation for theBenchmark.p % 18.98/9.65 fof(mSubRefl, axiom, ! [X0] : ((aSet0(X0) => aSubsetOf0(X0,X0)))). % 18.98/9.65 fof(mDomSet, axiom, ! [X0] : ((aFunction0(X0) => aSet0(szDzozmdt0(X0))))). % 18.98/9.65 fof(mDefSImg, definition, ! [X0] : ((aFunction0(X0) => ! [X1] : ((aSubsetOf0(X1,szDzozmdt0(X0)) => ! [X2] : ((X2 = sdtlcdtrc0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> ? [X4] : ((aElementOf0(X4,X1) & sdtlpdtrp0(X0,X4) = X3)))))))))))). % 18.98/9.65 fof(m__2911, hypothesis, aFunction0(xF)). % 18.98/9.65 fof(m__2911_02, hypothesis, aElementOf0(xx,szDzozmdt0(xF))). % 18.98/9.65 fof(m__, conjecture, aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))). % 18.98/9.65 fof(negated_conjecture, negated_conjecture, ~aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))), inference(negate_conjecture, [status(cth)], [m__])). % 18.98/9.65 cnf(c12, plain, ~aSet0(X0) | aSubsetOf0(X0,X0), inference(clausification, [status(esa)], [mSubRefl])). % 18.98/9.65 cnf(c120, plain, ~aFunction0(X0) | aSet0(szDzozmdt0(X0)), inference(clausification, [status(esa)], [mDomSet])). % 18.98/9.65 cnf(c133, plain, ~aFunction0(X0) | ~aSubsetOf0(X1,szDzozmdt0(X0)) | X2(X0,X1), inference(clausification, [status(esa)], [mDefSImg])). % 18.98/9.65 cnf(c140, plain, sdtlcdtrc0(X0,X1) != X2 | ~X3(X0,X1) | ~aElementOf0(X4,X1) | aElementOf0(X5,X2) | sdtlpdtrp0(X0,X4) != X5, inference(clausification, [status(esa)], [mDefSImg])). % 18.98/9.65 cnf(c143, plain, aFunction0(xF), inference(clausification, [status(esa)], [m__2911])). % 18.98/9.65 cnf(c144, plain, aElementOf0(xx,szDzozmdt0(xF)), inference(clausification, [status(esa)], [m__2911_02])). % 18.98/9.65 cnf(c145, plain, ~aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))), inference(clausification, [status(esa)], [negated_conjecture])). % 18.98/9.65 cnf(d0, plain, ~aFunction0(X0) | 'Ts134'(X0,szDzozmdt0(X0)) | ~aSet0(szDzozmdt0(X0)), inference(resolution, [status(thm)], [c133,c12])). % 18.98/9.65 cnf(d1, plain, sdtlpdtrp0(X0,X1) != X2 | aElementOf0(X2,sdtlcdtrc0(X0,X3)) | ~aElementOf0(X1,X3) | ~'Ts134'(X0,X3), inference(equality_resolution, [status(thm)], [c140])). % 18.98/9.65 cnf(d2, plain, aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,X2)) | ~aElementOf0(X1,X2) | ~'Ts134'(X0,X2), inference(equality_resolution, [status(thm)], [d1])). % 18.98/9.65 cnf(d3, plain, ~aElementOf0(xx,szDzozmdt0(xF)) | ~'Ts134'(xF,szDzozmdt0(xF)), inference(resolution, [status(thm)], [d2,c145])). % 18.98/9.65 cnf(d4, plain, ~'Ts134'(xF,szDzozmdt0(xF)), inference(resolution, [status(thm)], [c144,d3])). % 18.98/9.65 cnf(d5, plain, ~aSet0(szDzozmdt0(xF)) | ~aFunction0(xF), inference(resolution, [status(thm)], [d4,d0])). % 18.98/9.65 cnf(d6, plain, ~aSet0(szDzozmdt0(xF)), inference(resolution, [status(thm)], [c143,d5])). % 18.98/9.65 cnf(d7, plain, ~aFunction0(xF), inference(resolution, [status(thm)], [d6,c120])). % 18.98/9.65 cnf(d8, plain, $false, inference(resolution, [status(thm)], [c143,d7])). % 18.98/9.65 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------