%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM633+3 : TPTP v9.3.1. Released v4.0.0. % 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 08:13:24 AM UTC 2026 % Result : Theorem 27.82s 4.00s % Output : CNFRefutation 27.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM633+3 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.09/0.37 % Computer : n003.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 03:33:25 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 27.82/4.00 % SZS status Theorem for theBenchmark.p % 27.82/4.00 % SZS output start CNFRefutation for theBenchmark.p % 27.82/4.00 fof(m__4854, hypothesis, (aElementOf0(szDzizrdt0(xd),xT) & (aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))) & ! [X0] : ((aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) <=> (aElementOf0(X0,szDzozmdt0(xd)) & sdtlpdtrp0(xd,X0) = szDzizrdt0(xd))))))). % 27.82/4.00 fof(m__4908, hypothesis, (aSet0(xO) & isCountable0(xO))). % 27.82/4.00 fof(m__4998, hypothesis, (! [X0] : ((aElementOf0(X0,xO) => aElementOf0(X0,xS))) & aSubsetOf0(xO,xS))). % 27.82/4.00 fof(m__, conjecture, (! [X0] : ((((((aSet0(X0) & ! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xO)))) | aSubsetOf0(X0,xO)) & sbrdtbr0(X0) = xK) | aElementOf0(X0,slbdtsldtrb0(xO,xK))) => (~((~? [X1] : aElementOf0(X1,X0) | X0 = slcrc0)) & (! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,szNzAzT0))) & (aSubsetOf0(X0,szNzAzT0) & (! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xS))) & (aSubsetOf0(X0,xS) & (! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xS))) & (aSubsetOf0(X0,xS) & (aElementOf0(X0,szDzozmdt0(xc)) & sdtlpdtrp0(xc,X0) = szDzizrdt0(xd))))))))))) => ? [X0] : ((aElementOf0(X0,xT) & ? [X1] : ((((aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,xS)))) | aSubsetOf0(X1,xS)) & (isCountable0(X1) & ! [X2] : (((aSet0(X2) & (! [X3] : ((aElementOf0(X3,X2) => aElementOf0(X3,X1))) & (aSubsetOf0(X2,X1) & (sbrdtbr0(X2) = xK & aElementOf0(X2,slbdtsldtrb0(X1,xK)))))) => sdtlpdtrp0(xc,X2) = X0))))))))). % 27.82/4.00 fof(negated_conjecture, negated_conjecture, ~((! [X0] : ((((((aSet0(X0) & ! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xO)))) | aSubsetOf0(X0,xO)) & sbrdtbr0(X0) = xK) | aElementOf0(X0,slbdtsldtrb0(xO,xK))) => (~((~? [X1] : aElementOf0(X1,X0) | X0 = slcrc0)) & (! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,szNzAzT0))) & (aSubsetOf0(X0,szNzAzT0) & (! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xS))) & (aSubsetOf0(X0,xS) & (! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xS))) & (aSubsetOf0(X0,xS) & (aElementOf0(X0,szDzozmdt0(xc)) & sdtlpdtrp0(xc,X0) = szDzizrdt0(xd))))))))))) => ? [X0] : ((aElementOf0(X0,xT) & ? [X1] : ((((aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,xS)))) | aSubsetOf0(X1,xS)) & (isCountable0(X1) & ! [X2] : (((aSet0(X2) & (! [X3] : ((aElementOf0(X3,X2) => aElementOf0(X3,X1))) & (aSubsetOf0(X2,X1) & (sbrdtbr0(X2) = xK & aElementOf0(X2,slbdtsldtrb0(X1,xK)))))) => sdtlpdtrp0(xc,X2) = X0))))))))), inference(negate_conjecture, [status(cth)], [m__])). % 27.82/4.00 cnf(c388, plain, aElementOf0(szDzizrdt0(xd),xT), inference(clausification, [status(esa)], [m__4854])). % 27.82/4.00 cnf(c403, plain, isCountable0(xO), inference(clausification, [status(esa)], [m__4908])). % 27.82/4.00 cnf(c411, plain, aSubsetOf0(xO,xS), inference(clausification, [status(esa)], [m__4998])). % 27.82/4.00 cnf(c415, plain, ~aElementOf0(X0,slbdtsldtrb0(xO,xK)) | X1(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 27.82/4.00 cnf(c418, plain, ~aElementOf0(X0,xT) | ~aSubsetOf0(X1,xS) | ~isCountable0(X1) | ~X2(X0,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 27.82/4.00 cnf(c428, plain, ~X0(X1) | sdtlpdtrp0(xc,X1) = szDzizrdt0(xd), inference(clausification, [status(esa)], [negated_conjecture])). % 27.82/4.00 cnf(c433, plain, X0(X1,X2) | aElementOf0(sK291(X1,X2),slbdtsldtrb0(X2,xK)), inference(clausification, [status(esa)], [negated_conjecture])). % 27.82/4.00 cnf(c434, plain, X0(X1,X2) | sdtlpdtrp0(xc,sK291(X1,X2)) != X1, inference(clausification, [status(esa)], [negated_conjecture])). % 27.82/4.00 cnf(d0, plain, 'Ts281'(X0,xO) | 'Ts280'(sK291(X0,xO)), inference(resolution, [status(thm)], [c433,c415])). % 27.82/4.00 cnf(d1, plain, 'Ts281'(X0,xO) | sdtlpdtrp0(xc,sK291(X0,xO)) = szDzizrdt0(xd), inference(resolution, [status(thm)], [d0,c428])). % 27.82/4.00 cnf(d2, plain, sdtlpdtrp0(xc,sK291(X0,xO)) = szDzizrdt0(xd) | ~aElementOf0(X0,xT) | ~isCountable0(xO) | ~aSubsetOf0(xO,xS), inference(resolution, [status(thm)], [d1,c418])). % 27.82/4.00 cnf(d3, plain, sdtlpdtrp0(xc,sK291(X0,xO)) = szDzizrdt0(xd) | ~aElementOf0(X0,xT) | ~aSubsetOf0(xO,xS), inference(resolution, [status(thm)], [c403,d2])). % 27.82/4.00 cnf(d4, plain, sdtlpdtrp0(xc,sK291(X0,xO)) = szDzizrdt0(xd) | ~aElementOf0(X0,xT), inference(resolution, [status(thm)], [c411,d3])). % 27.82/4.00 cnf(d5, plain, sdtlpdtrp0(xc,sK291(szDzizrdt0(xd),xO)) = szDzizrdt0(xd), inference(resolution, [status(thm)], [d4,c388])). % 27.82/4.00 cnf(d6, plain, szDzizrdt0(xd) != szDzizrdt0(xd) | 'Ts281'(szDzizrdt0(xd),xO), inference(superposition, [status(thm)], [d5,c434])). % 27.82/4.00 cnf(d7, plain, 'Ts281'(szDzizrdt0(xd),xO), inference(equality_resolution, [status(thm)], [d6])). % 27.82/4.00 cnf(d8, plain, ~aElementOf0(szDzizrdt0(xd),xT) | ~isCountable0(xO) | ~aSubsetOf0(xO,xS), inference(resolution, [status(thm)], [d7,c418])). % 27.82/4.00 cnf(d9, plain, ~isCountable0(xO) | ~aSubsetOf0(xO,xS), inference(resolution, [status(thm)], [c388,d8])). % 27.82/4.00 cnf(d10, plain, ~aSubsetOf0(xO,xS), inference(resolution, [status(thm)], [c403,d9])). % 27.82/4.00 cnf(d11, plain, $false, inference(resolution, [status(thm)], [c411,d10])). % 27.82/4.00 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------