%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM563+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 : 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 08:13:10 AM UTC 2026 % Result : Theorem 77.63s 10.27s % Output : CNFRefutation 77.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM563+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 % 0.11/0.36 % Computer : n007.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sat Sep 26 03:12:39 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 77.63/10.27 % SZS status Theorem for theBenchmark.p % 77.63/10.27 % SZS output start CNFRefutation for theBenchmark.p % 77.63/10.27 fof(mDefEmp, definition, ! [X0] : ((X0 = slcrc0 <=> (aSet0(X0) & ~? [X1] : aElementOf0(X1,X0))))). % 77.63/10.27 fof(mCountNFin, axiom, ! [X0] : (((aSet0(X0) & isCountable0(X0)) => ~isFinite0(X0)))). % 77.63/10.27 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 77.63/10.27 fof(mSubRefl, axiom, ! [X0] : ((aSet0(X0) => aSubsetOf0(X0,X0)))). % 77.63/10.27 fof(mNATSet, axiom, (aSet0(szNzAzT0) & isCountable0(szNzAzT0))). % 77.63/10.27 fof(mZeroNum, axiom, aElementOf0(sz00,szNzAzT0)). % 77.63/10.27 fof(mCardEmpty, axiom, ! [X0] : ((aSet0(X0) => (sbrdtbr0(X0) = sz00 <=> X0 = slcrc0)))). % 77.63/10.27 fof(mSegZero, axiom, slbdtrb0(sz00) = slcrc0). % 77.63/10.27 fof(mCardSeg, axiom, ! [X0] : ((aElementOf0(X0,szNzAzT0) => sbrdtbr0(slbdtrb0(X0)) = X0))). % 77.63/10.27 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))))))))). % 77.63/10.27 fof(mSelNSet, axiom, ! [X0] : (((aSet0(X0) & ~isFinite0(X0)) => ! [X1] : ((aElementOf0(X1,szNzAzT0) => slbdtsldtrb0(X0,X1) != slcrc0))))). % 77.63/10.27 fof(mImgRng, axiom, ! [X0] : ((aFunction0(X0) => ! [X1] : ((aElementOf0(X1,szDzozmdt0(X0)) => aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))))))). % 77.63/10.27 fof(m__3291, hypothesis, (aSet0(xT) & isFinite0(xT))). % 77.63/10.27 fof(m__3435, hypothesis, (aSubsetOf0(xS,szNzAzT0) & isCountable0(xS))). % 77.63/10.27 fof(m__3453, hypothesis, (aFunction0(xc) & (szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)))). % 77.63/10.27 fof(m__, conjecture, (xK = sz00 => ? [X0] : ((aElementOf0(X0,xT) & ? [X1] : ((aSubsetOf0(X1,xS) & (isCountable0(X1) & ! [X2] : ((aElementOf0(X2,slbdtsldtrb0(X1,xK)) => sdtlpdtrp0(xc,X2) = X0))))))))). % 77.63/10.27 fof(negated_conjecture, negated_conjecture, ~((xK = sz00 => ? [X0] : ((aElementOf0(X0,xT) & ? [X1] : ((aSubsetOf0(X1,xS) & (isCountable0(X1) & ! [X2] : ((aElementOf0(X2,slbdtsldtrb0(X1,xK)) => sdtlpdtrp0(xc,X2) = X0))))))))), inference(negate_conjecture, [status(cth)], [m__])). % 77.63/10.27 cnf(c1, plain, X0 != slcrc0 | aSet0(X0), inference(clausification, [status(esa)], [mDefEmp])). % 77.63/10.27 cnf(c3, plain, X0 = slcrc0 | aElementOf0(sK4(X0),X0) | ~aSet0(X0), inference(clausification, [status(esa)], [mDefEmp])). % 77.63/10.27 cnf(c5, plain, ~isCountable0(X0) | ~aSet0(X0) | ~isFinite0(X0), inference(clausification, [status(esa)], [mCountNFin])). % 77.63/10.27 cnf(c7, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 77.63/10.27 cnf(c8, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | ~aElementOf0(X2,X1) | aElementOf0(X2,X0), inference(clausification, [status(esa)], [mDefSub])). % 77.63/10.27 cnf(c12, plain, ~aSet0(X0) | aSubsetOf0(X0,X0), inference(clausification, [status(esa)], [mSubRefl])). % 77.63/10.27 cnf(c45, plain, aSet0(szNzAzT0), inference(clausification, [status(esa)], [mNATSet])). % 77.63/10.27 cnf(c47, plain, aElementOf0(sz00,szNzAzT0), inference(clausification, [status(esa)], [mZeroNum])). % 77.63/10.27 cnf(c67, plain, ~aSet0(X0) | sbrdtbr0(X0) != sz00 | X0 = slcrc0, inference(clausification, [status(esa)], [mCardEmpty])). % 77.63/10.27 cnf(c68, plain, ~aSet0(X0) | sbrdtbr0(X0) = sz00 | X0 != slcrc0, inference(clausification, [status(esa)], [mCardEmpty])). % 77.63/10.27 cnf(c94, plain, slbdtrb0(sz00) = slcrc0, inference(clausification, [status(esa)], [mSegZero])). % 77.63/10.27 cnf(c102, plain, ~aElementOf0(X0,szNzAzT0) | sbrdtbr0(slbdtrb0(X0)) = X0, inference(clausification, [status(esa)], [mCardSeg])). % 77.63/10.27 cnf(c103, plain, ~aElementOf0(X0,szNzAzT0) | ~aSet0(X1) | X2(X1,X0), inference(clausification, [status(esa)], [mDefSel])). % 77.63/10.27 cnf(c107, plain, ~X0(X1,X2) | slbdtsldtrb0(X1,X2) != X3 | aSet0(X3), inference(clausification, [status(esa)], [mDefSel])). % 77.63/10.27 cnf(c108, plain, ~X0(X1,X2) | slbdtsldtrb0(X1,X2) != X3 | ~aElementOf0(X4,X3) | aSubsetOf0(X4,X1), inference(clausification, [status(esa)], [mDefSel])). % 77.63/10.27 cnf(c109, plain, ~X0(X1,X2) | slbdtsldtrb0(X1,X2) != X3 | ~aElementOf0(X4,X3) | sbrdtbr0(X4) = X2, inference(clausification, [status(esa)], [mDefSel])). % 77.63/10.27 cnf(c114, plain, isFinite0(X0) | ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | slbdtsldtrb0(X0,X1) != slcrc0, inference(clausification, [status(esa)], [mSelNSet])). % 77.63/10.27 cnf(c143, plain, ~aFunction0(X0) | ~aElementOf0(X1,szDzozmdt0(X0)) | aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))), inference(clausification, [status(esa)], [mImgRng])). % 77.63/10.27 cnf(c156, plain, aSet0(xT), inference(clausification, [status(esa)], [m__3291])). % 77.63/10.27 cnf(c159, plain, aSubsetOf0(xS,szNzAzT0), inference(clausification, [status(esa)], [m__3435])). % 77.63/10.27 cnf(c160, plain, isCountable0(xS), inference(clausification, [status(esa)], [m__3435])). % 77.63/10.27 cnf(c161, plain, aFunction0(xc), inference(clausification, [status(esa)], [m__3453])). % 77.63/10.27 cnf(c162, plain, aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT), inference(clausification, [status(esa)], [m__3453])). % 77.63/10.27 cnf(c163, plain, slbdtsldtrb0(xS,xK) = szDzozmdt0(xc), inference(clausification, [status(esa)], [m__3453])). % 77.63/10.27 cnf(c168, plain, xK = sz00, inference(clausification, [status(esa)], [negated_conjecture])). % 77.63/10.27 cnf(c169, plain, ~aElementOf0(X0,xT) | ~aSubsetOf0(X1,xS) | aElementOf0(sK165(X0,X1),slbdtsldtrb0(X1,xK)) | ~isCountable0(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 77.63/10.27 cnf(c170, plain, ~aElementOf0(X0,xT) | ~aSubsetOf0(X1,xS) | sdtlpdtrp0(xc,sK165(X0,X1)) != X0 | ~isCountable0(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 77.63/10.27 cnf(d0, plain, ~aSet0(xT) | aElementOf0(X0,xT) | ~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))), inference(resolution, [status(thm)], [c162,c8])). % 77.63/10.27 cnf(d1, plain, ~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) | aElementOf0(X0,xT), inference(resolution, [status(thm)], [c156,d0])). % 77.63/10.27 cnf(d2, plain, aElementOf0(sdtlpdtrp0(xc,X0),xT) | ~aElementOf0(X0,szDzozmdt0(xc)) | ~aFunction0(xc), inference(resolution, [status(thm)], [d1,c143])). % 77.63/10.27 cnf(d3, plain, ~aElementOf0(X0,szDzozmdt0(xc)) | aElementOf0(sdtlpdtrp0(xc,X0),xT), inference(resolution, [status(thm)], [c161,d2])). % 77.63/10.27 cnf(d4, plain, ~aSet0(X0) | 'Ts102'(X0,sz00), inference(resolution, [status(thm)], [c103,c47])). % 77.63/10.27 cnf(d5, plain, ~aElementOf0(X0,xT) | aElementOf0(sK165(X0,X1),slbdtsldtrb0(X1,sz00)) | ~isCountable0(X1) | ~aSubsetOf0(X1,xS), inference(demodulation, [status(thm)], [c169,c168])). % 77.63/10.27 cnf(d6, plain, slbdtsldtrb0(xS,sz00) = szDzozmdt0(xc), inference(demodulation, [status(thm)], [c163,c168])). % 77.63/10.27 cnf(d7, plain, aElementOf0(sK165(X0,xS),szDzozmdt0(xc)) | ~aElementOf0(X0,xT) | ~isCountable0(xS) | ~aSubsetOf0(xS,xS), inference(superposition, [status(thm)], [d6,d5])). % 77.63/10.27 cnf(d8, plain, ~aElementOf0(X0,xT) | aElementOf0(sK165(X0,xS),szDzozmdt0(xc)) | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [c160,d7])). % 77.63/10.27 cnf(d9, plain, szDzozmdt0(xc) != X0 | ~aElementOf0(X1,X0) | aSubsetOf0(X1,xS) | ~'Ts102'(xS,sz00), inference(superposition, [status(thm)], [d6,c108])). % 77.63/10.27 cnf(d10, plain, ~aElementOf0(X0,szDzozmdt0(xc)) | aSubsetOf0(X0,xS) | ~'Ts102'(xS,sz00), inference(equality_resolution, [status(thm)], [d9])). % 77.63/10.27 cnf(d11, plain, aSubsetOf0(sK165(X0,xS),xS) | ~'Ts102'(xS,sz00) | ~aElementOf0(X0,xT) | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [d10,d8])). % 77.63/10.27 cnf(d12, plain, ~aElementOf0(X0,xT) | ~aSubsetOf0(xS,xS) | ~'Ts102'(xS,sz00) | aSet0(sK165(X0,xS)) | ~aSet0(xS), inference(resolution, [status(thm)], [d11,c7])). % 77.63/10.27 cnf(d13, plain, aSet0(xS) | ~aSet0(szNzAzT0), inference(resolution, [status(thm)], [c7,c159])). % 77.63/10.27 cnf(d14, plain, aSet0(xS), inference(resolution, [status(thm)], [c45,d13])). % 77.63/10.27 cnf(d15, plain, aSet0(sK165(X0,xS)) | ~aElementOf0(X0,xT) | ~aSubsetOf0(xS,xS) | ~'Ts102'(xS,sz00), inference(resolution, [status(thm)], [d14,d12])). % 77.63/10.27 cnf(d16, plain, aSubsetOf0(sK4(szDzozmdt0(xc)),xS) | ~'Ts102'(xS,sz00) | szDzozmdt0(xc) = slcrc0 | ~aSet0(szDzozmdt0(xc)), inference(resolution, [status(thm)], [d10,c3])). % 77.63/10.27 cnf(d17, plain, szDzozmdt0(xc) != X0 | aSet0(X0) | ~'Ts102'(xS,sz00), inference(superposition, [status(thm)], [d6,c107])). % 77.63/10.27 cnf(d18, plain, aSet0(szDzozmdt0(xc)) | ~'Ts102'(xS,sz00), inference(equality_resolution, [status(thm)], [d17])). % 77.63/10.27 cnf(d19, plain, aSet0(szDzozmdt0(xc)) | ~aSet0(xS), inference(resolution, [status(thm)], [d18,d4])). % 77.63/10.27 cnf(d20, plain, aSet0(szDzozmdt0(xc)), inference(resolution, [status(thm)], [d14,d19])). % 77.63/10.27 cnf(d21, plain, szDzozmdt0(xc) = slcrc0 | aSubsetOf0(sK4(szDzozmdt0(xc)),xS) | ~'Ts102'(xS,sz00), inference(resolution, [status(thm)], [d20,d16])). % 77.63/10.27 cnf(d22, plain, szDzozmdt0(xc) = slcrc0 | ~'Ts102'(xS,sz00) | aSet0(sK4(szDzozmdt0(xc))) | ~aSet0(xS), inference(resolution, [status(thm)], [d21,c7])). % 77.63/10.27 cnf(d23, plain, szDzozmdt0(xc) = slcrc0 | aSet0(sK4(szDzozmdt0(xc))) | ~'Ts102'(xS,sz00), inference(resolution, [status(thm)], [d14,d22])). % 77.63/10.27 cnf(d24, plain, szDzozmdt0(xc) != slcrc0 | ~aSet0(xS) | ~aElementOf0(sz00,szNzAzT0) | isFinite0(xS), inference(superposition, [status(thm)], [d6,c114])). % 77.63/10.27 cnf(d25, plain, szDzozmdt0(xc) != slcrc0 | ~aSet0(xS) | isFinite0(xS), inference(resolution, [status(thm)], [c47,d24])). % 77.63/10.27 cnf(d26, plain, szDzozmdt0(xc) != slcrc0 | isFinite0(xS), inference(resolution, [status(thm)], [d14,d25])). % 77.63/10.27 cnf(d27, plain, ~aSet0(xS) | ~isFinite0(xS), inference(resolution, [status(thm)], [c5,c160])). % 77.63/10.27 cnf(d28, plain, ~isFinite0(xS), inference(resolution, [status(thm)], [d14,d27])). % 77.63/10.27 cnf(d29, plain, szDzozmdt0(xc) != slcrc0, inference(resolution, [status(thm)], [d28,d26])). % 77.63/10.27 cnf(d30, plain, aSet0(sK4(szDzozmdt0(xc))) | ~'Ts102'(xS,sz00), inference(resolution, [status(thm)], [d29,d23])). % 77.63/10.27 cnf(d31, plain, szDzozmdt0(xc) != X0 | sbrdtbr0(X1) = sz00 | ~aElementOf0(X1,X0) | ~'Ts102'(xS,sz00), inference(superposition, [status(thm)], [d6,c109])). % 77.63/10.27 cnf(d32, plain, sbrdtbr0(X0) = sz00 | ~aElementOf0(X0,szDzozmdt0(xc)) | ~'Ts102'(xS,sz00), inference(equality_resolution, [status(thm)], [d31])). % 77.63/10.27 cnf(d33, plain, sbrdtbr0(sK4(szDzozmdt0(xc))) = sz00 | ~'Ts102'(xS,sz00) | szDzozmdt0(xc) = slcrc0 | ~aSet0(szDzozmdt0(xc)), inference(resolution, [status(thm)], [d32,c3])). % 77.63/10.27 cnf(d34, plain, sbrdtbr0(sK4(szDzozmdt0(xc))) = sz00 | szDzozmdt0(xc) = slcrc0 | ~'Ts102'(xS,sz00), inference(resolution, [status(thm)], [d20,d33])). % 77.63/10.27 cnf(d35, plain, sbrdtbr0(sK4(szDzozmdt0(xc))) = sz00 | szDzozmdt0(xc) = slcrc0 | ~aSet0(xS), inference(resolution, [status(thm)], [d34,d4])). % 77.63/10.27 cnf(d36, plain, sbrdtbr0(sK4(szDzozmdt0(xc))) = sz00 | szDzozmdt0(xc) = slcrc0, inference(resolution, [status(thm)], [d14,d35])). % 77.63/10.27 cnf(d37, plain, sbrdtbr0(sK4(szDzozmdt0(xc))) = sz00, inference(resolution, [status(thm)], [d29,d36])). % 77.63/10.27 cnf(d38, plain, sz00 != sz00 | sK4(szDzozmdt0(xc)) = slcrc0 | ~aSet0(sK4(szDzozmdt0(xc))), inference(superposition, [status(thm)], [d37,c67])). % 77.63/10.27 cnf(d39, plain, sbrdtbr0(slbdtrb0(sz00)) = sz00, inference(resolution, [status(thm)], [c102,c47])). % 77.63/10.27 cnf(d40, plain, sbrdtbr0(slcrc0) = sz00, inference(demodulation, [status(thm)], [d39,c94])). % 77.63/10.27 cnf(d41, plain, sbrdtbr0(slcrc0) = sz00 | ~aSet0(slcrc0), inference(equality_resolution, [status(thm)], [c68])). % 77.63/10.27 cnf(d42, plain, sz00 = sz00 | ~aSet0(slcrc0), inference(demodulation, [status(thm)], [d41,d40])). % 77.63/10.27 cnf(d43, plain, aSet0(slcrc0), inference(equality_resolution, [status(thm)], [c1])). % 77.63/10.27 cnf(d44, plain, sz00 = sz00, inference(resolution, [status(thm)], [d43,d42])). % 77.63/10.27 cnf(d45, plain, sK4(szDzozmdt0(xc)) = slcrc0 | ~aSet0(sK4(szDzozmdt0(xc))), inference(resolution, [status(thm)], [d44,d38])). % 77.63/10.27 cnf(d46, plain, sK4(szDzozmdt0(xc)) = slcrc0 | ~'Ts102'(xS,sz00), inference(resolution, [status(thm)], [d45,d30])). % 77.63/10.27 cnf(d47, plain, sK4(szDzozmdt0(xc)) = slcrc0 | ~aSet0(xS), inference(resolution, [status(thm)], [d46,d4])). % 77.63/10.27 cnf(d48, plain, sK4(szDzozmdt0(xc)) = slcrc0, inference(resolution, [status(thm)], [d14,d47])). % 77.63/10.27 cnf(d49, plain, aElementOf0(slcrc0,szDzozmdt0(xc)) | szDzozmdt0(xc) = slcrc0 | ~aSet0(szDzozmdt0(xc)), inference(superposition, [status(thm)], [d48,c3])). % 77.63/10.27 cnf(d50, plain, szDzozmdt0(xc) = slcrc0 | aElementOf0(slcrc0,szDzozmdt0(xc)), inference(resolution, [status(thm)], [d20,d49])). % 77.63/10.27 cnf(d51, plain, aElementOf0(slcrc0,szDzozmdt0(xc)), inference(resolution, [status(thm)], [d29,d50])). % 77.63/10.27 cnf(d52, plain, sbrdtbr0(sK165(X0,xS)) = sz00 | ~'Ts102'(xS,sz00) | ~aElementOf0(X0,xT) | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [d32,d8])). % 77.63/10.27 cnf(d53, plain, sbrdtbr0(sK165(X0,xS)) = sz00 | ~aElementOf0(X0,xT) | ~aSubsetOf0(xS,xS) | ~aSet0(xS), inference(resolution, [status(thm)], [d52,d4])). % 77.63/10.27 cnf(d54, plain, sbrdtbr0(sK165(X0,xS)) = sz00 | ~aElementOf0(X0,xT) | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [d14,d53])). % 77.63/10.27 cnf(d55, plain, sbrdtbr0(sK165(X0,xS)) = sz00 | ~aElementOf0(X0,xT) | ~aSet0(xS), inference(resolution, [status(thm)], [d54,c12])). % 77.63/10.27 cnf(d56, plain, sbrdtbr0(sK165(X0,xS)) = sz00 | ~aElementOf0(X0,xT), inference(resolution, [status(thm)], [d14,d55])). % 77.63/10.27 cnf(d57, plain, ~aElementOf0(X0,szDzozmdt0(xc)) | sbrdtbr0(sK165(sdtlpdtrp0(xc,X0),xS)) = sz00, inference(resolution, [status(thm)], [d3,d56])). % 77.63/10.27 cnf(d58, plain, sbrdtbr0(sK165(sdtlpdtrp0(xc,slcrc0),xS)) = sz00, inference(resolution, [status(thm)], [d57,d51])). % 77.63/10.27 cnf(d59, plain, sz00 != sz00 | sK165(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0 | ~aSet0(sK165(sdtlpdtrp0(xc,slcrc0),xS)), inference(superposition, [status(thm)], [d58,c67])). % 77.63/10.27 cnf(d60, plain, sK165(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0 | ~aSet0(sK165(sdtlpdtrp0(xc,slcrc0),xS)), inference(resolution, [status(thm)], [d44,d59])). % 77.63/10.27 cnf(d61, plain, sK165(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0 | ~aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) | ~aSubsetOf0(xS,xS) | ~'Ts102'(xS,sz00), inference(resolution, [status(thm)], [d60,d15])). % 77.63/10.27 cnf(d62, plain, sK165(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0 | ~aSubsetOf0(xS,xS) | ~'Ts102'(xS,sz00) | ~aElementOf0(slcrc0,szDzozmdt0(xc)), inference(resolution, [status(thm)], [d61,d3])). % 77.63/10.27 cnf(d63, plain, sK165(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0 | ~aSubsetOf0(xS,xS) | ~'Ts102'(xS,sz00), inference(resolution, [status(thm)], [d51,d62])). % 77.63/10.27 cnf(d64, plain, sK165(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0 | ~aSubsetOf0(xS,xS) | ~aSet0(xS), inference(resolution, [status(thm)], [d63,d4])). % 77.63/10.27 cnf(d65, plain, sK165(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0 | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [d14,d64])). % 77.63/10.27 cnf(d66, plain, sK165(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0 | ~aSet0(xS), inference(resolution, [status(thm)], [d65,c12])). % 77.63/10.27 cnf(d67, plain, sK165(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0, inference(resolution, [status(thm)], [d14,d66])). % 77.63/10.27 cnf(d68, plain, sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0) | ~aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) | ~isCountable0(xS) | ~aSubsetOf0(xS,xS), inference(superposition, [status(thm)], [d67,c170])). % 77.63/10.27 cnf(d69, plain, sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0) | ~aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [c160,d68])). % 77.63/10.27 cnf(d70, plain, ~aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) | ~aSubsetOf0(xS,xS), inference(equality_resolution, [status(thm)], [d69])). % 77.63/10.27 cnf(d71, plain, ~aSubsetOf0(xS,xS) | ~aElementOf0(slcrc0,szDzozmdt0(xc)), inference(resolution, [status(thm)], [d70,d3])). % 77.63/10.27 cnf(d72, plain, ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [d51,d71])). % 77.63/10.27 cnf(d73, plain, ~aSet0(xS), inference(resolution, [status(thm)], [d72,c12])). % 77.63/10.27 cnf(d74, plain, $false, inference(resolution, [status(thm)], [d14,d73])). % 77.63/10.27 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------