%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM556+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 : n014.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 08:13:08 AM UTC 2026 % Result : Theorem 37.62s 5.32s % Output : CNFRefutation 37.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM556+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 % 0.10/0.36 % Computer : n014.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 03:12:47 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 37.62/5.32 % SZS status Theorem for theBenchmark.p % 37.62/5.32 % SZS output start CNFRefutation for theBenchmark.p % 37.62/5.32 fof(mEOfElem, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => aElement0(X1)))))). % 37.62/5.32 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 37.62/5.32 fof(mDefCons, definition, ! [X0] : ! [X1] : (((aSet0(X0) & aElement0(X1)) => ! [X2] : ((X2 = sdtpldt0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> (aElement0(X3) & (aElementOf0(X3,X0) | X3 = X1)))))))))). % 37.62/5.32 fof(mDefDiff, definition, ! [X0] : ! [X1] : (((aSet0(X0) & aElement0(X1)) => ! [X2] : ((X2 = sdtmndt0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> (aElement0(X3) & (aElementOf0(X3,X0) & X3 != X1)))))))))). % 37.62/5.32 fof(mConsDiff, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => sdtpldt0(sdtmndt0(X0,X1),X1) = X0))))). % 37.62/5.32 fof(mDiffCons, axiom, ! [X0] : ! [X1] : (((aElement0(X0) & aSet0(X1)) => (~aElementOf0(X0,X1) => sdtmndt0(sdtpldt0(X1,X0),X0) = X1)))). % 37.62/5.32 fof(mFConsSet, axiom, ! [X0] : ((aElement0(X0) => ! [X1] : (((aSet0(X1) & isFinite0(X1)) => isFinite0(sdtpldt0(X1,X0))))))). % 37.62/5.32 fof(mFDiffSet, axiom, ! [X0] : ((aElement0(X0) => ! [X1] : (((aSet0(X1) & isFinite0(X1)) => isFinite0(sdtmndt0(X1,X0))))))). % 37.62/5.32 fof(mCardDiff, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : (((isFinite0(X0) & aElementOf0(X1,X0)) => szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)))))). % 37.62/5.32 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))))))))). % 37.62/5.32 fof(m__2202, hypothesis, aElementOf0(xk,szNzAzT0)). % 37.62/5.32 fof(m__2202_02, hypothesis, (aSet0(xS) & (aSet0(xT) & xk != sz00))). % 37.62/5.32 fof(m__2256, hypothesis, aElementOf0(xx,xS)). % 37.62/5.32 fof(m__2270, hypothesis, aElementOf0(xQ,slbdtsldtrb0(xS,xk))). % 37.62/5.32 fof(m__2291, hypothesis, (aSet0(xQ) & (isFinite0(xQ) & sbrdtbr0(xQ) = xk))). % 37.62/5.32 fof(m__2304, hypothesis, (aElement0(xy) & aElementOf0(xy,xQ))). % 37.62/5.32 fof(m__2357, hypothesis, xP = sdtpldt0(sdtmndt0(xQ,xy),xx)). % 37.62/5.32 fof(m__2411, hypothesis, (~aElementOf0(xx,sdtmndt0(xQ,xy)) & szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = xk)). % 37.62/5.32 fof(m__, conjecture, (aSubsetOf0(xP,xS) & sbrdtbr0(xP) = xk)). % 37.62/5.32 fof(negated_conjecture, negated_conjecture, ~((aSubsetOf0(xP,xS) & sbrdtbr0(xP) = xk)), inference(negate_conjecture, [status(cth)], [m__])). % 37.62/5.32 cnf(c0, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | aElement0(X1), inference(clausification, [status(esa)], [mEOfElem])). % 37.62/5.32 cnf(c8, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | ~aElementOf0(X2,X1) | aElementOf0(X2,X0), inference(clausification, [status(esa)], [mDefSub])). % 37.62/5.32 cnf(c9, plain, ~aSet0(X0) | aSubsetOf0(X1,X0) | aElementOf0(sK10(X0,X1),X1) | ~aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 37.62/5.32 cnf(c10, plain, ~aSet0(X0) | aSubsetOf0(X1,X0) | ~aElementOf0(sK10(X0,X1),X0) | ~aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 37.62/5.32 cnf(c15, plain, ~aElement0(X0) | ~aSet0(X1) | sdtpldt0(X1,X0) != X2 | X3(X1,X0,X2), inference(clausification, [status(esa)], [mDefCons])). % 37.62/5.32 cnf(c19, plain, ~X0(X1,X2,X3) | aSet0(X3), inference(clausification, [status(esa)], [mDefCons])). % 37.62/5.32 cnf(c21, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | aElementOf0(X4,X1) | X2 = X4, inference(clausification, [status(esa)], [mDefCons])). % 37.62/5.32 cnf(c22, plain, ~X0(X1,X2,X3) | aElementOf0(X4,X3) | ~aElementOf0(X4,X1) | ~aElement0(X4), inference(clausification, [status(esa)], [mDefCons])). % 37.62/5.32 cnf(c23, plain, ~X0(X1,X2,X3) | aElementOf0(X4,X3) | X2 != X4 | ~aElement0(X4), inference(clausification, [status(esa)], [mDefCons])). % 37.62/5.32 cnf(c27, plain, ~aElement0(X0) | ~aSet0(X1) | sdtmndt0(X1,X0) != X2 | X3(X1,X0,X2), inference(clausification, [status(esa)], [mDefDiff])). % 37.62/5.32 cnf(c30, plain, ~X0(X1,X2,X3) | aSet0(X3), inference(clausification, [status(esa)], [mDefDiff])). % 37.62/5.32 cnf(c39, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | sdtpldt0(sdtmndt0(X0,X1),X1) = X0, inference(clausification, [status(esa)], [mConsDiff])). % 37.62/5.32 cnf(c40, plain, ~aSet0(X0) | ~aElement0(X1) | sdtmndt0(sdtpldt0(X0,X1),X1) = X0 | aElementOf0(X1,X0), inference(clausification, [status(esa)], [mDiffCons])). % 37.62/5.32 cnf(c43, plain, ~aElement0(X0) | ~isFinite0(X1) | ~aSet0(X1) | isFinite0(sdtpldt0(X1,X0)), inference(clausification, [status(esa)], [mFConsSet])). % 37.62/5.32 cnf(c44, plain, ~aElement0(X0) | ~isFinite0(X1) | ~aSet0(X1) | isFinite0(sdtmndt0(X1,X0)), inference(clausification, [status(esa)], [mFDiffSet])). % 37.62/5.32 cnf(c70, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | ~isFinite0(X0) | sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))), inference(clausification, [status(esa)], [mCardDiff])). % 37.62/5.32 cnf(c103, plain, ~aElementOf0(X0,szNzAzT0) | ~aSet0(X1) | X2(X1,X0), inference(clausification, [status(esa)], [mDefSel])). % 37.62/5.32 cnf(c108, plain, ~X0(X1,X2) | slbdtsldtrb0(X1,X2) != X3 | ~aElementOf0(X4,X3) | aSubsetOf0(X4,X1), inference(clausification, [status(esa)], [mDefSel])). % 37.62/5.32 cnf(c116, plain, aElementOf0(xk,szNzAzT0), inference(clausification, [status(esa)], [m__2202])). % 37.62/5.32 cnf(c117, plain, aSet0(xS), inference(clausification, [status(esa)], [m__2202_02])). % 37.62/5.32 cnf(c122, plain, aElementOf0(xx,xS), inference(clausification, [status(esa)], [m__2256])). % 37.62/5.32 cnf(c123, plain, aElementOf0(xQ,slbdtsldtrb0(xS,xk)), inference(clausification, [status(esa)], [m__2270])). % 37.62/5.32 cnf(c124, plain, aSet0(xQ), inference(clausification, [status(esa)], [m__2291])). % 37.62/5.32 cnf(c126, plain, isFinite0(xQ), inference(clausification, [status(esa)], [m__2291])). % 37.62/5.32 cnf(c127, plain, aElement0(xy), inference(clausification, [status(esa)], [m__2304])). % 37.62/5.32 cnf(c128, plain, aElementOf0(xy,xQ), inference(clausification, [status(esa)], [m__2304])). % 37.62/5.32 cnf(c131, plain, sdtpldt0(sdtmndt0(xQ,xy),xx) = xP, inference(clausification, [status(esa)], [m__2357])). % 37.62/5.32 cnf(c132, plain, ~aElementOf0(xx,sdtmndt0(xQ,xy)), inference(clausification, [status(esa)], [m__2411])). % 37.62/5.32 cnf(c133, plain, szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = xk, inference(clausification, [status(esa)], [m__2411])). % 37.62/5.32 cnf(c134, plain, ~aSubsetOf0(xP,xS) | sbrdtbr0(xP) != xk, inference(clausification, [status(esa)], [negated_conjecture])). % 37.62/5.32 cnf(d0, plain, ~aSet0(X0) | ~aSet0(X1) | aSubsetOf0(X0,X1) | ~aSet0(X0) | aElement0(sK10(X1,X0)), inference(resolution, [status(thm)], [c9,c0])). % 37.62/5.32 cnf(d1, plain, ~aSet0(X0) | 'Ts102'(X0,xk), inference(resolution, [status(thm)], [c103,c116])). % 37.62/5.32 cnf(d2, plain, ~aElementOf0(X0,slbdtsldtrb0(X1,X2)) | aSubsetOf0(X0,X1) | ~'Ts102'(X1,X2), inference(equality_resolution, [status(thm)], [c108])). % 37.62/5.32 cnf(d3, plain, aSubsetOf0(xQ,xS) | ~'Ts102'(xS,xk), inference(resolution, [status(thm)], [d2,c123])). % 37.62/5.32 cnf(d4, plain, aSubsetOf0(xQ,xS) | ~aSet0(xS), inference(resolution, [status(thm)], [d3,d1])). % 37.62/5.32 cnf(d5, plain, aSubsetOf0(xQ,xS), inference(resolution, [status(thm)], [c117,d4])). % 37.62/5.32 cnf(d6, plain, ~aSet0(xS) | aElementOf0(X0,xS) | ~aElementOf0(X0,xQ), inference(resolution, [status(thm)], [d5,c8])). % 37.62/5.32 cnf(d7, plain, aElementOf0(X0,xS) | ~aElementOf0(X0,xQ), inference(resolution, [status(thm)], [c117,d6])). % 37.62/5.32 cnf(d8, plain, xP != X0 | ~aSet0(sdtmndt0(xQ,xy)) | ~aElement0(xx) | 'Ts19'(sdtmndt0(xQ,xy),xx,X0), inference(superposition, [status(thm)], [c131,c15])). % 37.62/5.32 cnf(d9, plain, ~aSet0(xS) | aElement0(xx), inference(resolution, [status(thm)], [c122,c0])). % 37.62/5.32 cnf(d10, plain, aElement0(xx), inference(resolution, [status(thm)], [c117,d9])). % 37.62/5.32 cnf(d11, plain, xP != X0 | ~aSet0(sdtmndt0(xQ,xy)) | 'Ts19'(sdtmndt0(xQ,xy),xx,X0), inference(resolution, [status(thm)], [d10,d8])). % 37.62/5.32 cnf(d12, plain, ~aSet0(sdtmndt0(xQ,xy)) | 'Ts19'(sdtmndt0(xQ,xy),xx,xP), inference(equality_resolution, [status(thm)], [d11])). % 37.62/5.32 cnf(d13, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts26'(X0,X1,sdtmndt0(X0,X1)), inference(equality_resolution, [status(thm)], [c27])). % 37.62/5.32 cnf(d14, plain, ~aSet0(X0) | ~aElement0(X1) | aSet0(sdtmndt0(X0,X1)), inference(resolution, [status(thm)], [d13,c30])). % 37.62/5.32 cnf(d15, plain, sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),xx),xx) = sdtmndt0(xQ,xy) | ~aSet0(sdtmndt0(xQ,xy)) | ~aElement0(xx), inference(resolution, [status(thm)], [c40,c132])). % 37.62/5.32 cnf(d16, plain, sdtmndt0(xP,xx) = sdtmndt0(xQ,xy) | ~aSet0(sdtmndt0(xQ,xy)) | ~aElement0(xx), inference(demodulation, [status(thm)], [d15,c131])). % 37.62/5.32 cnf(d17, plain, sdtmndt0(xP,xx) = sdtmndt0(xQ,xy) | ~aSet0(sdtmndt0(xQ,xy)), inference(resolution, [status(thm)], [d10,d16])). % 37.62/5.32 cnf(d18, plain, sdtmndt0(xP,xx) = sdtmndt0(xQ,xy) | ~aSet0(xQ) | ~aElement0(xy), inference(resolution, [status(thm)], [d17,d14])). % 37.62/5.32 cnf(d19, plain, sdtmndt0(xP,xx) = sdtmndt0(xQ,xy) | ~aElement0(xy), inference(resolution, [status(thm)], [c124,d18])). % 37.62/5.32 cnf(d20, plain, sdtmndt0(xP,xx) = sdtmndt0(xQ,xy), inference(resolution, [status(thm)], [c127,d19])). % 37.62/5.32 cnf(d21, plain, aSet0(sdtmndt0(xQ,xy)) | ~aSet0(xP) | ~aElement0(xx), inference(superposition, [status(thm)], [d20,d14])). % 37.62/5.32 cnf(d22, plain, aSet0(sdtmndt0(xQ,xy)) | ~aSet0(xP), inference(resolution, [status(thm)], [d10,d21])). % 37.62/5.32 cnf(d23, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts19'(X0,X1,sdtpldt0(X0,X1)), inference(equality_resolution, [status(thm)], [c15])). % 37.62/5.32 cnf(d24, plain, ~aSet0(X0) | ~aElement0(X1) | aSet0(sdtpldt0(X0,X1)), inference(resolution, [status(thm)], [d23,c19])). % 37.62/5.32 cnf(d25, plain, aSet0(xP) | ~aSet0(sdtmndt0(xQ,xy)) | ~aElement0(xx), inference(superposition, [status(thm)], [c131,d24])). % 37.62/5.32 cnf(d26, plain, ~aSet0(sdtmndt0(xQ,xy)) | aSet0(xP), inference(resolution, [status(thm)], [d10,d25])). % 37.62/5.32 cnf(d27, plain, ~aSet0(xQ) | ~aElement0(xy) | aSet0(xP), inference(resolution, [status(thm)], [d14,d26])). % 37.62/5.32 cnf(d28, plain, aSet0(xP) | ~aElement0(xy), inference(resolution, [status(thm)], [c124,d27])). % 37.62/5.32 cnf(d29, plain, aSet0(xP), inference(resolution, [status(thm)], [c127,d28])). % 37.62/5.32 cnf(d30, plain, aSet0(sdtmndt0(xQ,xy)), inference(resolution, [status(thm)], [d29,d22])). % 37.62/5.32 cnf(d31, plain, 'Ts19'(sdtmndt0(xQ,xy),xx,xP), inference(resolution, [status(thm)], [d30,d12])). % 37.62/5.32 cnf(d32, plain, xx = X0 | aElementOf0(X0,sdtmndt0(xQ,xy)) | ~aElementOf0(X0,xP), inference(resolution, [status(thm)], [d31,c21])). % 37.62/5.32 cnf(d33, plain, sdtpldt0(sdtmndt0(xQ,xy),xy) = xQ | ~aSet0(xQ), inference(resolution, [status(thm)], [c39,c128])). % 37.62/5.32 cnf(d34, plain, sdtpldt0(sdtmndt0(xQ,xy),xy) = xQ, inference(resolution, [status(thm)], [c124,d33])). % 37.62/5.32 cnf(d35, plain, 'Ts19'(sdtmndt0(xQ,xy),xy,xQ) | ~aSet0(sdtmndt0(xQ,xy)) | ~aElement0(xy), inference(superposition, [status(thm)], [d34,d23])). % 37.62/5.32 cnf(d36, plain, ~aSet0(sdtmndt0(xQ,xy)) | 'Ts19'(sdtmndt0(xQ,xy),xy,xQ), inference(resolution, [status(thm)], [c127,d35])). % 37.62/5.32 cnf(d37, plain, 'Ts19'(sdtmndt0(xQ,xy),xy,xQ), inference(resolution, [status(thm)], [d30,d36])). % 37.62/5.32 cnf(d38, plain, aElementOf0(X0,xQ) | ~aElementOf0(X0,sdtmndt0(xQ,xy)) | ~aElement0(X0), inference(resolution, [status(thm)], [d37,c22])). % 37.62/5.32 cnf(d39, plain, aElementOf0(X0,xQ) | ~aElement0(X0) | xx = X0 | ~aElementOf0(X0,xP), inference(resolution, [status(thm)], [d38,d32])). % 37.62/5.32 cnf(d40, plain, aElementOf0(X0,X1) | ~aElement0(X0) | ~'Ts19'(X2,X0,X1), inference(equality_resolution, [status(thm)], [c23])). % 37.62/5.32 cnf(d41, plain, ~aSet0(X0) | ~aElement0(X1) | aElementOf0(X1,sdtpldt0(X0,X1)) | ~aElement0(X1), inference(resolution, [status(thm)], [d23,d40])). % 37.62/5.32 cnf(d42, plain, sdtpldt0(sdtmndt0(X0,sK10(X1,X0)),sK10(X1,X0)) = X0 | ~aSet0(X0) | ~aSet0(X0) | ~aSet0(X1) | aSubsetOf0(X0,X1), inference(resolution, [status(thm)], [c39,c9])). % 37.62/5.32 cnf(d43, plain, aElementOf0(xx,xP) | ~aSet0(sdtmndt0(xQ,xy)) | ~aElement0(xx), inference(superposition, [status(thm)], [c131,d41])). % 37.62/5.32 cnf(d44, plain, ~aSet0(sdtmndt0(xQ,xy)) | aElementOf0(xx,xP), inference(resolution, [status(thm)], [d10,d43])). % 37.62/5.32 cnf(d45, plain, ~aSet0(xQ) | ~aElement0(xy) | aElementOf0(xx,xP), inference(resolution, [status(thm)], [d14,d44])). % 37.62/5.32 cnf(d46, plain, aElementOf0(xx,xP) | ~aElement0(xy), inference(resolution, [status(thm)], [c124,d45])). % 37.62/5.32 cnf(d47, plain, aElementOf0(xx,xP), inference(resolution, [status(thm)], [c127,d46])). % 37.62/5.32 cnf(d48, plain, sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx))) | ~aSet0(xP) | ~isFinite0(xP), inference(resolution, [status(thm)], [d47,c70])). % 37.62/5.32 cnf(d49, plain, sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) | ~aSet0(xP) | ~isFinite0(xP), inference(demodulation, [status(thm)], [d48,d20])). % 37.62/5.32 cnf(d50, plain, sbrdtbr0(xP) = xk | ~aSet0(xP) | ~isFinite0(xP), inference(demodulation, [status(thm)], [d49,c133])). % 37.62/5.32 cnf(d51, plain, sbrdtbr0(xP) = xk | ~isFinite0(xP), inference(resolution, [status(thm)], [d29,d50])). % 37.62/5.32 cnf(d52, plain, isFinite0(xP) | ~aSet0(sdtmndt0(xQ,xy)) | ~aElement0(xx) | ~isFinite0(sdtmndt0(xQ,xy)), inference(superposition, [status(thm)], [c131,c43])). % 37.62/5.32 cnf(d53, plain, ~aSet0(sdtmndt0(xQ,xy)) | ~isFinite0(sdtmndt0(xQ,xy)) | isFinite0(xP), inference(resolution, [status(thm)], [d10,d52])). % 37.62/5.32 cnf(d54, plain, ~isFinite0(sdtmndt0(xQ,xy)) | isFinite0(xP), inference(resolution, [status(thm)], [d30,d53])). % 37.62/5.32 cnf(d55, plain, isFinite0(xP) | ~aSet0(xQ) | ~aElement0(xy) | ~isFinite0(xQ), inference(resolution, [status(thm)], [d54,c44])). % 37.62/5.32 cnf(d56, plain, ~aElement0(xy) | ~isFinite0(xQ) | isFinite0(xP), inference(resolution, [status(thm)], [c124,d55])). % 37.62/5.32 cnf(d57, plain, ~aElement0(xy) | isFinite0(xP), inference(resolution, [status(thm)], [c126,d56])). % 37.62/5.32 cnf(d58, plain, isFinite0(xP), inference(resolution, [status(thm)], [c127,d57])). % 37.62/5.32 cnf(d59, plain, sbrdtbr0(xP) = xk, inference(resolution, [status(thm)], [d58,d51])). % 37.62/5.32 cnf(d60, plain, ~aSubsetOf0(xP,xS), inference(resolution, [status(thm)], [d59,c134])). % 37.62/5.32 cnf(d61, plain, sdtpldt0(sdtmndt0(xP,sK10(xS,xP)),sK10(xS,xP)) = xP | ~aSet0(xS) | ~aSet0(xP), inference(resolution, [status(thm)], [d60,d42])). % 37.62/5.32 cnf(d62, plain, sdtpldt0(sdtmndt0(xP,sK10(xS,xP)),sK10(xS,xP)) = xP | ~aSet0(xP), inference(resolution, [status(thm)], [c117,d61])). % 37.62/5.32 cnf(d63, plain, sdtpldt0(sdtmndt0(xP,sK10(xS,xP)),sK10(xS,xP)) = xP, inference(resolution, [status(thm)], [d29,d62])). % 37.62/5.32 cnf(d64, plain, aElementOf0(sK10(xS,xP),xP) | ~aSet0(sdtmndt0(xP,sK10(xS,xP))) | ~aElement0(sK10(xS,xP)), inference(superposition, [status(thm)], [d63,d41])). % 37.62/5.32 cnf(d65, plain, aElementOf0(sK10(xS,xP),xP) | ~aElement0(sK10(xS,xP)) | ~aSet0(xP) | ~aElement0(sK10(xS,xP)), inference(resolution, [status(thm)], [d64,d14])). % 37.62/5.32 cnf(d66, plain, aElementOf0(sK10(xS,xP),xP) | ~aElement0(sK10(xS,xP)), inference(resolution, [status(thm)], [d29,d65])). % 37.62/5.32 cnf(d67, plain, ~aElement0(sK10(xS,xP)) | xx = sK10(xS,xP) | aElementOf0(sK10(xS,xP),xQ) | ~aElement0(sK10(xS,xP)), inference(resolution, [status(thm)], [d66,d39])). % 37.62/5.32 cnf(d68, plain, xx = sK10(xS,xP) | ~aElement0(sK10(xS,xP)) | aElementOf0(sK10(xS,xP),xS), inference(resolution, [status(thm)], [d67,d7])). % 37.62/5.32 cnf(d69, plain, xx = sK10(xS,xP) | ~aElement0(sK10(xS,xP)) | ~aSet0(xP) | ~aSet0(xS) | aSubsetOf0(xP,xS), inference(resolution, [status(thm)], [d68,c10])). % 37.62/5.32 cnf(d70, plain, xx = sK10(xS,xP) | ~aSet0(xP) | ~aElement0(sK10(xS,xP)) | aSubsetOf0(xP,xS), inference(resolution, [status(thm)], [c117,d69])). % 37.62/5.32 cnf(d71, plain, xx = sK10(xS,xP) | ~aElement0(sK10(xS,xP)) | aSubsetOf0(xP,xS), inference(resolution, [status(thm)], [d29,d70])). % 37.62/5.32 cnf(d72, plain, xx = sK10(xS,xP) | ~aElement0(sK10(xS,xP)), inference(resolution, [status(thm)], [d60,d71])). % 37.62/5.32 cnf(d73, plain, xx = sK10(xS,xP) | ~aSet0(xS) | ~aSet0(xP) | aSubsetOf0(xP,xS), inference(resolution, [status(thm)], [d72,d0])). % 37.62/5.32 cnf(d74, plain, xx = sK10(xS,xP) | ~aSet0(xP) | aSubsetOf0(xP,xS), inference(resolution, [status(thm)], [c117,d73])). % 37.62/5.32 cnf(d75, plain, xx = sK10(xS,xP) | aSubsetOf0(xP,xS), inference(resolution, [status(thm)], [d29,d74])). % 37.62/5.32 cnf(d76, plain, xx = sK10(xS,xP), inference(resolution, [status(thm)], [d60,d75])). % 37.62/5.32 cnf(d77, plain, ~aElementOf0(xx,xS) | ~aSet0(xP) | ~aSet0(xS) | aSubsetOf0(xP,xS), inference(superposition, [status(thm)], [d76,c10])). % 37.62/5.32 cnf(d78, plain, ~aSet0(xP) | ~aElementOf0(xx,xS) | aSubsetOf0(xP,xS), inference(resolution, [status(thm)], [c117,d77])). % 37.62/5.32 cnf(d79, plain, ~aSet0(xP) | aSubsetOf0(xP,xS), inference(resolution, [status(thm)], [c122,d78])). % 37.62/5.32 cnf(d80, plain, aSubsetOf0(xP,xS), inference(resolution, [status(thm)], [d29,d79])). % 37.62/5.32 cnf(d81, plain, $false, inference(resolution, [status(thm)], [d60,d80])). % 37.62/5.32 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------