%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM594+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 : 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 08:13:16 AM UTC 2026 % Result : Theorem 54.31s 7.64s % Output : CNFRefutation 54.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : NUM594+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.16/0.43 % Computer : n018.cluster.edu % 0.16/0.43 % Model : x86_64 x86_64 % 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.43 % Memory : 8046.5625MB % 0.16/0.43 % OS : Linux 6.8.0-71-generic % 0.16/0.43 % CPULimit : 300 % 0.16/0.43 % WCLimit : 300 % 0.16/0.43 % DateTime : Sat Sep 26 03:24:51 UTC 2026 % 0.16/0.44 % CPUTime : % 0.16/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 54.31/7.64 % SZS status Theorem for theBenchmark.p % 54.31/7.64 % SZS output start CNFRefutation for theBenchmark.p % 54.31/7.64 fof(mSubRefl, axiom, ! [X0] : ((aSet0(X0) => aSubsetOf0(X0,X0)))). % 54.31/7.64 fof(mNATSet, axiom, (aSet0(szNzAzT0) & isCountable0(szNzAzT0))). % 54.31/7.64 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)))))))))))). % 54.31/7.64 fof(m__4730, hypothesis, (aFunction0(xd) & (szDzozmdt0(xd) = szNzAzT0 & ! [X0] : ((aElementOf0(X0,szNzAzT0) => ! [X1] : (((aSet0(X1) & aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))) => sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)))))))). % 54.31/7.64 fof(m__4781, hypothesis, aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))). % 54.31/7.64 fof(m__, conjecture, ? [X0] : ((aElementOf0(X0,szNzAzT0) & sdtlpdtrp0(xd,X0) = xx))). % 54.31/7.64 fof(negated_conjecture, negated_conjecture, ~? [X0] : ((aElementOf0(X0,szNzAzT0) & sdtlpdtrp0(xd,X0) = xx)), inference(negate_conjecture, [status(cth)], [m__])). % 54.31/7.64 cnf(c12, plain, ~aSet0(X0) | aSubsetOf0(X0,X0), inference(clausification, [status(esa)], [mSubRefl])). % 54.31/7.64 cnf(c45, plain, aSet0(szNzAzT0), inference(clausification, [status(esa)], [mNATSet])). % 54.31/7.64 cnf(c133, plain, ~aFunction0(X0) | ~aSubsetOf0(X1,szDzozmdt0(X0)) | X2(X0,X1), inference(clausification, [status(esa)], [mDefSImg])). % 54.31/7.64 cnf(c138, plain, ~X0(X1,X2) | sdtlcdtrc0(X1,X2) != X3 | ~aElementOf0(X4,X3) | aElementOf0(sK140(X1,X2,X4),X2), inference(clausification, [status(esa)], [mDefSImg])). % 54.31/7.64 cnf(c139, plain, ~X0(X1,X2) | sdtlcdtrc0(X1,X2) != X3 | ~aElementOf0(X4,X3) | sdtlpdtrp0(X1,sK140(X1,X2,X4)) = X4, inference(clausification, [status(esa)], [mDefSImg])). % 54.31/7.64 cnf(c198, plain, aFunction0(xd), inference(clausification, [status(esa)], [m__4730])). % 54.31/7.64 cnf(c200, plain, szDzozmdt0(xd) = szNzAzT0, inference(clausification, [status(esa)], [m__4730])). % 54.31/7.64 cnf(c202, plain, aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))), inference(clausification, [status(esa)], [m__4781])). % 54.31/7.64 cnf(c203, plain, ~aElementOf0(X0,szNzAzT0) | sdtlpdtrp0(xd,X0) != xx, inference(clausification, [status(esa)], [negated_conjecture])). % 54.31/7.64 cnf(d0, plain, ~aElementOf0(X0,sdtlcdtrc0(X1,X2)) | aElementOf0(sK140(X1,X2,X0),X2) | ~'Ts134'(X1,X2), inference(equality_resolution, [status(thm)], [c138])). % 54.31/7.64 cnf(d1, plain, aElementOf0(xx,sdtlcdtrc0(xd,szNzAzT0)), inference(demodulation, [status(thm)], [c202,c200])). % 54.31/7.64 cnf(d2, plain, sdtlpdtrp0(X0,sK140(X0,X1,X2)) = X2 | ~aElementOf0(X2,sdtlcdtrc0(X0,X1)) | ~'Ts134'(X0,X1), inference(equality_resolution, [status(thm)], [c139])). % 54.31/7.64 cnf(d3, plain, sdtlpdtrp0(xd,sK140(xd,szNzAzT0,xx)) = xx | ~'Ts134'(xd,szNzAzT0), inference(resolution, [status(thm)], [d2,d1])). % 54.31/7.64 cnf(d4, plain, ~aSubsetOf0(X0,szNzAzT0) | ~aFunction0(xd) | 'Ts134'(xd,X0), inference(superposition, [status(thm)], [c200,c133])). % 54.31/7.64 cnf(d5, plain, ~aSubsetOf0(X0,szNzAzT0) | 'Ts134'(xd,X0), inference(resolution, [status(thm)], [c198,d4])). % 54.31/7.64 cnf(d6, plain, 'Ts134'(xd,szNzAzT0) | ~aSet0(szNzAzT0), inference(resolution, [status(thm)], [d5,c12])). % 54.31/7.64 cnf(d7, plain, 'Ts134'(xd,szNzAzT0), inference(resolution, [status(thm)], [c45,d6])). % 54.31/7.64 cnf(d8, plain, sdtlpdtrp0(xd,sK140(xd,szNzAzT0,xx)) = xx, inference(resolution, [status(thm)], [d7,d3])). % 54.31/7.64 cnf(d9, plain, xx != xx | ~aElementOf0(sK140(xd,szNzAzT0,xx),szNzAzT0), inference(superposition, [status(thm)], [d8,c203])). % 54.31/7.64 cnf(d10, plain, ~aElementOf0(sK140(xd,szNzAzT0,xx),szNzAzT0), inference(equality_resolution, [status(thm)], [d9])). % 54.31/7.64 cnf(d11, plain, ~aElementOf0(xx,sdtlcdtrc0(xd,szNzAzT0)) | ~'Ts134'(xd,szNzAzT0), inference(resolution, [status(thm)], [d10,d0])). % 54.31/7.64 cnf(d12, plain, ~'Ts134'(xd,szNzAzT0), inference(resolution, [status(thm)], [d1,d11])). % 54.31/7.64 cnf(d13, plain, $false, inference(resolution, [status(thm)], [d7,d12])). % 54.31/7.64 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------