%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM548+1 : 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 : n005.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 08:13:06 AM UTC 2026 % Result : Theorem 29.43s 4.29s % Output : CNFRefutation 29.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM548+1 : 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 : n005.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 03:10:46 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 29.43/4.29 % SZS status Theorem for theBenchmark.p % 29.43/4.29 % SZS output start CNFRefutation for theBenchmark.p % 29.43/4.29 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 29.43/4.29 fof(mCardNum, axiom, ! [X0] : ((aSet0(X0) => (aElementOf0(sbrdtbr0(X0),szNzAzT0) <=> isFinite0(X0))))). % 29.43/4.29 fof(mDefSel, definition, ! [X0] : ! [X1] : (((aSet0(X0) & aElementOf0(X1,szNzAzT0)) => ! [X2] : ((X2 = slbdtsldtrb0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> (aSubsetOf0(X3,X0) & sbrdtbr0(X3) = X1))))))))). % 29.43/4.29 fof(m__2202, hypothesis, aElementOf0(xk,szNzAzT0)). % 29.43/4.29 fof(m__2202_02, hypothesis, (aSet0(xS) & (aSet0(xT) & xk != sz00))). % 29.43/4.29 fof(m__2270, hypothesis, aElementOf0(xQ,slbdtsldtrb0(xS,xk))). % 29.43/4.29 fof(m__, conjecture, isFinite0(xQ)). % 29.43/4.29 fof(negated_conjecture, negated_conjecture, ~isFinite0(xQ), inference(negate_conjecture, [status(cth)], [m__])). % 29.43/4.29 cnf(c7, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 29.43/4.29 cnf(c72, plain, ~aSet0(X0) | ~aElementOf0(sbrdtbr0(X0),szNzAzT0) | isFinite0(X0), inference(clausification, [status(esa)], [mCardNum])). % 29.43/4.29 cnf(c112, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | X2 != slbdtsldtrb0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefSel])). % 29.43/4.29 cnf(c115, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | aSubsetOf0(X4,X1), inference(clausification, [status(esa)], [mDefSel])). % 29.43/4.29 cnf(c116, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | sbrdtbr0(X4) = X2, inference(clausification, [status(esa)], [mDefSel])). % 29.43/4.29 cnf(c127, plain, aElementOf0(xk,szNzAzT0), inference(clausification, [status(esa)], [m__2202])). % 29.43/4.29 cnf(c128, plain, aSet0(xS), inference(clausification, [status(esa)], [m__2202_02])). % 29.43/4.29 cnf(c134, plain, aElementOf0(xQ,slbdtsldtrb0(xS,xk)), inference(clausification, [status(esa)], [m__2270])). % 29.43/4.29 cnf(c135, plain, ~isFinite0(xQ), inference(clausification, [status(esa)], [negated_conjecture])). % 29.43/4.29 cnf(d0, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | 'Ts106'(X0,X1,slbdtsldtrb0(X0,X1)), inference(equality_resolution, [status(thm)], [c112])). % 29.43/4.29 cnf(d1, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | sbrdtbr0(X2) = X1 | ~aElementOf0(X2,slbdtsldtrb0(X0,X1)), inference(resolution, [status(thm)], [d0,c116])). % 29.43/4.29 cnf(d2, plain, sbrdtbr0(xQ) = xk | ~aSet0(xS) | ~aElementOf0(xk,szNzAzT0), inference(resolution, [status(thm)], [d1,c134])). % 29.43/4.29 cnf(d3, plain, sbrdtbr0(xQ) = xk | ~aElementOf0(xk,szNzAzT0), inference(resolution, [status(thm)], [c128,d2])). % 29.43/4.29 cnf(d4, plain, sbrdtbr0(xQ) = xk, inference(resolution, [status(thm)], [c127,d3])). % 29.43/4.29 cnf(d5, plain, ~aElementOf0(xk,szNzAzT0) | ~aSet0(xQ) | isFinite0(xQ), inference(superposition, [status(thm)], [d4,c72])). % 29.43/4.29 cnf(d6, plain, ~aSet0(xQ) | ~aElementOf0(xk,szNzAzT0), inference(resolution, [status(thm)], [c135,d5])). % 29.43/4.29 cnf(d7, plain, ~aSet0(xQ), inference(resolution, [status(thm)], [c127,d6])). % 29.43/4.29 cnf(d8, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | ~aElementOf0(X2,slbdtsldtrb0(X0,X1)) | aSubsetOf0(X2,X0), inference(resolution, [status(thm)], [d0,c115])). % 29.43/4.29 cnf(d9, plain, ~aSet0(xS) | ~aElementOf0(xk,szNzAzT0) | aSubsetOf0(xQ,xS), inference(resolution, [status(thm)], [d8,c134])). % 29.43/4.29 cnf(d10, plain, ~aElementOf0(xk,szNzAzT0) | aSubsetOf0(xQ,xS), inference(resolution, [status(thm)], [c128,d9])). % 29.43/4.29 cnf(d11, plain, aSubsetOf0(xQ,xS), inference(resolution, [status(thm)], [c127,d10])). % 29.43/4.29 cnf(d12, plain, aSet0(xQ) | ~aSet0(xS), inference(resolution, [status(thm)], [d11,c7])). % 29.43/4.29 cnf(d13, plain, aSet0(xQ), inference(resolution, [status(thm)], [c128,d12])). % 29.43/4.29 cnf(d14, plain, $false, inference(resolution, [status(thm)], [d13,d7])). % 29.43/4.29 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------