%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM566+3 : 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 : n016.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 32.44s 4.95s % Output : CNFRefutation 32.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM566+3 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.08/0.35 % Computer : n016.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 26 03:19:59 UTC 2026 % 0.08/0.35 % CPUTime : % 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 32.44/4.95 % SZS status Theorem for theBenchmark.p % 32.44/4.95 % SZS output start CNFRefutation for theBenchmark.p % 32.44/4.95 fof(mDefEmp, definition, ! [X0] : ((X0 = slcrc0 <=> (aSet0(X0) & ~? [X1] : aElementOf0(X1,X0))))). % 32.44/4.95 fof(mCountNFin, axiom, ! [X0] : (((aSet0(X0) & isCountable0(X0)) => ~isFinite0(X0)))). % 32.44/4.95 fof(mSubRefl, axiom, ! [X0] : ((aSet0(X0) => aSubsetOf0(X0,X0)))). % 32.44/4.95 fof(mZeroNum, axiom, aElementOf0(sz00,szNzAzT0)). % 32.44/4.95 fof(mCardEmpty, axiom, ! [X0] : ((aSet0(X0) => (sbrdtbr0(X0) = sz00 <=> X0 = slcrc0)))). % 32.44/4.95 fof(mSelNSet, axiom, ! [X0] : (((aSet0(X0) & ~isFinite0(X0)) => ! [X1] : ((aElementOf0(X1,szNzAzT0) => slbdtsldtrb0(X0,X1) != slcrc0))))). % 32.44/4.95 fof(mDomSet, axiom, ! [X0] : ((aFunction0(X0) => aSet0(szDzozmdt0(X0))))). % 32.44/4.95 fof(mImgRng, axiom, ! [X0] : ((aFunction0(X0) => ! [X1] : ((aElementOf0(X1,szDzozmdt0(X0)) => aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))))))). % 32.44/4.95 fof(m__3291, hypothesis, (aSet0(xT) & isFinite0(xT))). % 32.44/4.95 fof(m__3435, hypothesis, (aSet0(xS) & (! [X0] : ((aElementOf0(X0,xS) => aElementOf0(X0,szNzAzT0))) & (aSubsetOf0(xS,szNzAzT0) & isCountable0(xS))))). % 32.44/4.95 fof(m__3453, hypothesis, (aFunction0(xc) & (! [X0] : (((aElementOf0(X0,szDzozmdt0(xc)) => (aSet0(X0) & (! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xS))) & (aSubsetOf0(X0,xS) & sbrdtbr0(X0) = xK)))) & ((((aSet0(X0) & ! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xS)))) | aSubsetOf0(X0,xS)) & sbrdtbr0(X0) = xK) => aElementOf0(X0,szDzozmdt0(xc))))) & (szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) & (aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) & (! [X0] : ((aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) <=> ? [X1] : ((aElementOf0(X1,szDzozmdt0(xc)) & sdtlpdtrp0(xc,X1) = X0)))) & (! [X0] : ((aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) => aElementOf0(X0,xT))) & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)))))))). % 32.44/4.95 fof(m__3462, hypothesis, xK = sz00). % 32.44/4.95 fof(m__3476, hypothesis, (aSet0(slcrc0) & (~? [X0] : aElementOf0(X0,slcrc0) & (! [X0] : ((aElementOf0(X0,slcrc0) => aElementOf0(X0,xS))) & (aSubsetOf0(slcrc0,xS) & aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))))))). % 32.44/4.95 fof(m__3507, hypothesis, ! [X0] : ((((((aSet0(X0) & ! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xS)))) | aSubsetOf0(X0,xS)) & sbrdtbr0(X0) = sz00) | aElementOf0(X0,slbdtsldtrb0(xS,sz00))) => (aSet0(slcrc0) & (~? [X1] : aElementOf0(X1,slcrc0) & sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)))))). % 32.44/4.95 fof(m__, conjecture, ? [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)))))))). % 32.44/4.95 fof(negated_conjecture, negated_conjecture, ~? [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__])). % 32.44/4.95 cnf(c3, plain, X0 = slcrc0 | ~aSet0(X0) | aElementOf0(sK7(X0),X0), inference(clausification, [status(esa)], [mDefEmp])). % 32.44/4.95 cnf(c5, plain, ~aSet0(X0) | ~isCountable0(X0) | ~isFinite0(X0), inference(clausification, [status(esa)], [mCountNFin])). % 32.44/4.95 cnf(c12, plain, ~aSet0(X0) | aSubsetOf0(X0,X0), inference(clausification, [status(esa)], [mSubRefl])). % 32.44/4.95 cnf(c54, plain, aElementOf0(sz00,szNzAzT0), inference(clausification, [status(esa)], [mZeroNum])). % 32.44/4.95 cnf(c74, plain, ~aSet0(X0) | sbrdtbr0(X0) != sz00 | X0 = slcrc0, inference(clausification, [status(esa)], [mCardEmpty])). % 32.44/4.95 cnf(c125, plain, ~aSet0(X0) | isFinite0(X0) | ~aElementOf0(X1,szNzAzT0) | slbdtsldtrb0(X0,X1) != slcrc0, inference(clausification, [status(esa)], [mSelNSet])). % 32.44/4.95 cnf(c131, plain, ~aFunction0(X0) | aSet0(szDzozmdt0(X0)), inference(clausification, [status(esa)], [mDomSet])). % 32.44/4.95 cnf(c158, plain, ~aFunction0(X0) | ~aElementOf0(X1,szDzozmdt0(X0)) | aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))), inference(clausification, [status(esa)], [mImgRng])). % 32.44/4.95 cnf(c172, plain, aSet0(xT), inference(clausification, [status(esa)], [m__3291])). % 32.44/4.95 cnf(c175, plain, aSet0(xS), inference(clausification, [status(esa)], [m__3435])). % 32.44/4.95 cnf(c178, plain, isCountable0(xS), inference(clausification, [status(esa)], [m__3435])). % 32.44/4.95 cnf(c179, plain, aFunction0(xc), inference(clausification, [status(esa)], [m__3453])). % 32.44/4.95 cnf(c186, plain, ~aSubsetOf0(X0,xS) | sbrdtbr0(X0) != xK | aElementOf0(X0,szDzozmdt0(xc)), inference(clausification, [status(esa)], [m__3453])). % 32.44/4.95 cnf(c187, plain, szDzozmdt0(xc) = slbdtsldtrb0(xS,xK), inference(clausification, [status(esa)], [m__3453])). % 32.44/4.95 cnf(c189, plain, ~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) | aElementOf0(sK165(X0),szDzozmdt0(xc)), inference(clausification, [status(esa)], [m__3453])). % 32.44/4.95 cnf(c190, plain, ~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) | sdtlpdtrp0(xc,sK165(X0)) = X0, inference(clausification, [status(esa)], [m__3453])). % 32.44/4.95 cnf(c192, plain, ~aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) | aElementOf0(X0,xT), inference(clausification, [status(esa)], [m__3453])). % 32.44/4.95 cnf(c223, plain, xK = sz00, inference(clausification, [status(esa)], [m__3462])). % 32.44/4.95 cnf(c225, plain, ~aElementOf0(X0,slcrc0), inference(clausification, [status(esa)], [m__3476])). % 32.44/4.95 cnf(c227, plain, aSubsetOf0(slcrc0,xS), inference(clausification, [status(esa)], [m__3476])). % 32.44/4.95 cnf(c231, plain, X0(X1) | sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,slcrc0), inference(clausification, [status(esa)], [m__3507])). % 32.44/4.95 cnf(c235, plain, ~X0(X1) | ~aElementOf0(X1,slbdtsldtrb0(xS,sz00)), inference(clausification, [status(esa)], [m__3507])). % 32.44/4.95 cnf(c238, plain, ~aElementOf0(X0,xT) | ~aSubsetOf0(X1,xS) | ~isCountable0(X1) | ~X2(X0,X1), inference(clausification, [status(esa)], [negated_conjecture])). % 32.44/4.95 cnf(c239, plain, X0(X1,X2) | aSet0(sK198(X1,X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.44/4.95 cnf(c242, plain, X0(X1,X2) | sbrdtbr0(sK198(X1,X2)) = xK, inference(clausification, [status(esa)], [negated_conjecture])). % 32.44/4.95 cnf(c243, plain, X0(X1,X2) | aElementOf0(sK198(X1,X2),slbdtsldtrb0(X2,xK)), inference(clausification, [status(esa)], [negated_conjecture])). % 32.44/4.95 cnf(c244, plain, X0(X1,X2) | sdtlpdtrp0(xc,sK198(X1,X2)) != X1, inference(clausification, [status(esa)], [negated_conjecture])). % 32.44/4.95 cnf(d0, plain, ~aElementOf0(X0,xT) | ~isCountable0(X1) | ~aSubsetOf0(X1,xS) | sbrdtbr0(sK198(X0,X1)) = xK, inference(resolution, [status(thm)], [c238,c242])). % 32.44/4.95 cnf(d1, plain, sbrdtbr0(sK198(X0,xS)) = xK | ~aElementOf0(X0,xT) | ~isCountable0(xS) | ~aSet0(xS), inference(resolution, [status(thm)], [d0,c12])). % 32.44/4.95 cnf(d2, plain, sbrdtbr0(sK198(sK7(xT),xS)) = xK | ~aSet0(xS) | ~isCountable0(xS) | xT = slcrc0 | ~aSet0(xT), inference(resolution, [status(thm)], [d1,c3])). % 32.44/4.95 cnf(d3, plain, sbrdtbr0(sK198(sK7(xT),xS)) = xK | xT = slcrc0 | ~aSet0(xS) | ~isCountable0(xS), inference(resolution, [status(thm)], [c172,d2])). % 32.44/4.95 cnf(d4, plain, sbrdtbr0(sK198(sK7(xT),xS)) = xK | xT = slcrc0 | ~isCountable0(xS), inference(resolution, [status(thm)], [c175,d3])). % 32.44/4.95 cnf(d5, plain, sbrdtbr0(sK198(sK7(xT),xS)) = xK | xT = slcrc0, inference(resolution, [status(thm)], [c178,d4])). % 32.44/4.95 cnf(d6, plain, xK != xK | aElementOf0(sK198(sK7(xT),xS),szDzozmdt0(xc)) | ~aSubsetOf0(sK198(sK7(xT),xS),xS) | xT = slcrc0, inference(superposition, [status(thm)], [d5,c186])). % 32.44/4.95 cnf(d7, plain, xT = slcrc0 | sz00 != xK | aElementOf0(sK198(sK7(xT),xS),szDzozmdt0(xc)) | ~aSubsetOf0(sK198(sK7(xT),xS),xS), inference(demodulation, [status(thm)], [d6,c223])). % 32.44/4.95 cnf(d8, plain, xT = slcrc0 | sz00 != sz00 | aElementOf0(sK198(sK7(xT),xS),szDzozmdt0(xc)) | ~aSubsetOf0(sK198(sK7(xT),xS),xS), inference(demodulation, [status(thm)], [d7,c223])). % 32.44/4.95 cnf(d9, plain, xT = slcrc0 | aElementOf0(sK198(sK7(xT),xS),szDzozmdt0(xc)) | ~aSubsetOf0(sK198(sK7(xT),xS),xS), inference(equality_resolution, [status(thm)], [d8])). % 32.44/4.95 cnf(d10, plain, aElementOf0(sK165(sdtlpdtrp0(xc,X0)),szDzozmdt0(xc)) | ~aElementOf0(X0,szDzozmdt0(xc)) | ~aFunction0(xc), inference(resolution, [status(thm)], [c189,c158])). % 32.44/4.95 cnf(d11, plain, ~aElementOf0(X0,szDzozmdt0(xc)) | aElementOf0(sK165(sdtlpdtrp0(xc,X0)),szDzozmdt0(xc)), inference(resolution, [status(thm)], [c179,d10])). % 32.44/4.95 cnf(d12, plain, aElementOf0(sK198(X0,X1),slbdtsldtrb0(X1,sz00)) | 'Ts194'(X0,X1), inference(demodulation, [status(thm)], [c243,c223])). % 32.44/4.95 cnf(d13, plain, ~'Ts190'(sK198(X0,xS)) | 'Ts194'(X0,xS), inference(resolution, [status(thm)], [c235,d12])). % 32.44/4.95 cnf(d14, plain, 'Ts194'(X0,xS) | sdtlpdtrp0(xc,sK198(X0,xS)) = sdtlpdtrp0(xc,slcrc0), inference(resolution, [status(thm)], [d13,c231])). % 32.44/4.95 cnf(d15, plain, sdtlpdtrp0(xc,sK198(X0,xS)) = sdtlpdtrp0(xc,slcrc0) | ~aElementOf0(X0,xT) | ~isCountable0(xS) | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [d14,c238])). % 32.44/4.95 cnf(d16, plain, sdtlpdtrp0(xc,sK198(X0,xS)) = sdtlpdtrp0(xc,slcrc0) | ~aElementOf0(X0,xT) | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [c178,d15])). % 32.44/4.95 cnf(d17, plain, sdtlpdtrp0(xc,sK198(X0,xS)) = sdtlpdtrp0(xc,slcrc0) | ~aElementOf0(X0,xT) | ~aSet0(xS), inference(resolution, [status(thm)], [d16,c12])). % 32.44/4.95 cnf(d18, plain, sdtlpdtrp0(xc,sK198(X0,xS)) = sdtlpdtrp0(xc,slcrc0) | ~aElementOf0(X0,xT), inference(resolution, [status(thm)], [c175,d17])). % 32.44/4.95 cnf(d19, plain, sdtlpdtrp0(xc,sK198(sK7(xT),xS)) = sdtlpdtrp0(xc,slcrc0) | xT = slcrc0 | ~aSet0(xT), inference(resolution, [status(thm)], [d18,c3])). % 32.44/4.95 cnf(d20, plain, sdtlpdtrp0(xc,sK198(sK7(xT),xS)) = sdtlpdtrp0(xc,slcrc0) | xT = slcrc0, inference(resolution, [status(thm)], [c172,d19])). % 32.44/4.95 cnf(d21, plain, aElementOf0(sK165(sdtlpdtrp0(xc,slcrc0)),szDzozmdt0(xc)) | ~aElementOf0(sK198(sK7(xT),xS),szDzozmdt0(xc)) | xT = slcrc0, inference(superposition, [status(thm)], [d20,d11])). % 32.44/4.95 cnf(d22, plain, xT = slcrc0 | aElementOf0(sK165(sdtlpdtrp0(xc,slcrc0)),szDzozmdt0(xc)) | xT = slcrc0 | ~aSubsetOf0(sK198(sK7(xT),xS),xS), inference(resolution, [status(thm)], [d21,d9])). % 32.44/4.95 cnf(d23, plain, aElementOf0(sdtlpdtrp0(xc,X0),xT) | ~aElementOf0(X0,szDzozmdt0(xc)) | ~aFunction0(xc), inference(resolution, [status(thm)], [c192,c158])). % 32.44/4.95 cnf(d24, plain, ~aElementOf0(X0,szDzozmdt0(xc)) | aElementOf0(sdtlpdtrp0(xc,X0),xT), inference(resolution, [status(thm)], [c179,d23])). % 32.44/4.95 cnf(d25, plain, xK != sz00 | sK198(sK7(xT),xS) = slcrc0 | ~aSet0(sK198(sK7(xT),xS)) | xT = slcrc0, inference(superposition, [status(thm)], [d5,c74])). % 32.44/4.95 cnf(d26, plain, xT = slcrc0 | sK198(sK7(xT),xS) = slcrc0 | ~aSet0(sK198(sK7(xT),xS)), inference(resolution, [status(thm)], [c223,d25])). % 32.44/4.95 cnf(d27, plain, xT = slcrc0 | sK198(sK7(xT),xS) = slcrc0 | 'Ts194'(sK7(xT),xS), inference(resolution, [status(thm)], [d26,c239])). % 32.44/4.95 cnf(d28, plain, xT = slcrc0 | sK198(sK7(xT),xS) = slcrc0 | ~aElementOf0(sK7(xT),xT) | ~isCountable0(xS) | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [d27,c238])). % 32.44/4.95 cnf(d29, plain, xT = slcrc0 | sK198(sK7(xT),xS) = slcrc0 | ~aElementOf0(sK7(xT),xT) | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [c178,d28])). % 32.44/4.95 cnf(d30, plain, xT = slcrc0 | sK198(sK7(xT),xS) = slcrc0 | ~aSubsetOf0(xS,xS) | xT = slcrc0 | ~aSet0(xT), inference(resolution, [status(thm)], [d29,c3])). % 32.44/4.95 cnf(d31, plain, xT = slcrc0 | sK198(sK7(xT),xS) = slcrc0 | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [c172,d30])). % 32.44/4.95 cnf(d32, plain, xT = slcrc0 | sK198(sK7(xT),xS) = slcrc0 | ~aSet0(xS), inference(resolution, [status(thm)], [d31,c12])). % 32.44/4.95 cnf(d33, plain, xT = slcrc0 | sK198(sK7(xT),xS) = slcrc0, inference(resolution, [status(thm)], [c175,d32])). % 32.44/4.95 cnf(d34, plain, aElementOf0(slcrc0,szDzozmdt0(xc)) | xT = slcrc0 | ~aSubsetOf0(sK198(sK7(xT),xS),xS) | xT = slcrc0, inference(superposition, [status(thm)], [d33,d9])). % 32.44/4.95 cnf(d35, plain, ~aSubsetOf0(slcrc0,xS) | xT = slcrc0 | aElementOf0(slcrc0,szDzozmdt0(xc)) | xT = slcrc0, inference(superposition, [status(thm)], [d33,d34])). % 32.44/4.95 cnf(d36, plain, xT = slcrc0 | aElementOf0(slcrc0,szDzozmdt0(xc)), inference(resolution, [status(thm)], [c227,d35])). % 32.44/4.95 cnf(d37, plain, sdtlpdtrp0(xc,sK165(sdtlpdtrp0(xc,X0))) = sdtlpdtrp0(xc,X0) | ~aElementOf0(X0,szDzozmdt0(xc)) | ~aFunction0(xc), inference(resolution, [status(thm)], [c190,c158])). % 32.44/4.95 cnf(d38, plain, sdtlpdtrp0(xc,sK165(sdtlpdtrp0(xc,X0))) = sdtlpdtrp0(xc,X0) | ~aElementOf0(X0,szDzozmdt0(xc)), inference(resolution, [status(thm)], [c179,d37])). % 32.44/4.95 cnf(d39, plain, sdtlpdtrp0(xc,sK165(sdtlpdtrp0(xc,slcrc0))) = sdtlpdtrp0(xc,slcrc0) | xT = slcrc0, inference(resolution, [status(thm)], [d38,d36])). % 32.44/4.95 cnf(d40, plain, aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) | ~aElementOf0(sK165(sdtlpdtrp0(xc,slcrc0)),szDzozmdt0(xc)) | xT = slcrc0, inference(superposition, [status(thm)], [d39,d24])). % 32.44/4.95 cnf(d41, plain, xT = slcrc0 | aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) | xT = slcrc0 | ~aSubsetOf0(sK198(sK7(xT),xS),xS), inference(resolution, [status(thm)], [d40,d22])). % 32.44/4.95 cnf(d42, plain, ~aSubsetOf0(slcrc0,xS) | xT = slcrc0 | aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) | xT = slcrc0, inference(superposition, [status(thm)], [d33,d41])). % 32.44/4.95 cnf(d43, plain, xT = slcrc0 | aElementOf0(sdtlpdtrp0(xc,slcrc0),xT), inference(resolution, [status(thm)], [c227,d42])). % 32.44/4.95 cnf(d44, plain, ~aElementOf0(X0,szDzozmdt0(xc)) | sdtlpdtrp0(xc,sK198(sdtlpdtrp0(xc,X0),xS)) = sdtlpdtrp0(xc,slcrc0), inference(resolution, [status(thm)], [d24,d18])). % 32.44/4.95 cnf(d45, plain, sdtlpdtrp0(xc,sK198(sdtlpdtrp0(xc,slcrc0),xS)) = sdtlpdtrp0(xc,slcrc0) | xT = slcrc0, inference(resolution, [status(thm)], [d44,d36])). % 32.44/4.95 cnf(d46, plain, sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,slcrc0) | 'Ts194'(sdtlpdtrp0(xc,slcrc0),xS) | xT = slcrc0, inference(superposition, [status(thm)], [d45,c244])). % 32.44/4.95 cnf(d47, plain, xT = slcrc0 | 'Ts194'(sdtlpdtrp0(xc,slcrc0),xS), inference(equality_resolution, [status(thm)], [d46])). % 32.44/4.95 cnf(d48, plain, xT = slcrc0 | ~aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) | ~isCountable0(xS) | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [d47,c238])). % 32.44/4.95 cnf(d49, plain, xT = slcrc0 | ~aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) | ~aSubsetOf0(xS,xS), inference(resolution, [status(thm)], [c178,d48])). % 32.44/4.95 cnf(d50, plain, xT = slcrc0 | ~aSubsetOf0(xS,xS) | xT = slcrc0, inference(resolution, [status(thm)], [d49,d43])). % 32.44/4.95 cnf(d51, plain, xT = slcrc0 | ~aSet0(xS), inference(resolution, [status(thm)], [d50,c12])). % 32.44/4.95 cnf(d52, plain, xT = slcrc0, inference(resolution, [status(thm)], [c175,d51])). % 32.44/4.95 cnf(d53, plain, ~aElementOf0(X0,szDzozmdt0(xc)) | aElementOf0(sdtlpdtrp0(xc,X0),slcrc0), inference(demodulation, [status(thm)], [d24,d52])). % 32.44/4.95 cnf(d54, plain, ~aElementOf0(X0,szDzozmdt0(xc)), inference(resolution, [status(thm)], [c225,d53])). % 32.44/4.95 cnf(d55, plain, szDzozmdt0(xc) = slcrc0 | ~aSet0(szDzozmdt0(xc)), inference(resolution, [status(thm)], [d54,c3])). % 32.44/4.95 cnf(d56, plain, szDzozmdt0(xc) != slcrc0 | ~aSet0(xS) | ~aElementOf0(xK,szNzAzT0) | isFinite0(xS), inference(superposition, [status(thm)], [c187,c125])). % 32.44/4.95 cnf(d57, plain, szDzozmdt0(xc) != slcrc0 | ~aSet0(xS) | ~aElementOf0(sz00,szNzAzT0) | isFinite0(xS), inference(demodulation, [status(thm)], [d56,c223])). % 32.44/4.95 cnf(d58, plain, szDzozmdt0(xc) != slcrc0 | ~aElementOf0(sz00,szNzAzT0) | isFinite0(xS), inference(resolution, [status(thm)], [c175,d57])). % 32.44/4.95 cnf(d59, plain, szDzozmdt0(xc) != slcrc0 | isFinite0(xS), inference(resolution, [status(thm)], [c54,d58])). % 32.44/4.95 cnf(d60, plain, ~aSet0(xS) | ~isFinite0(xS), inference(resolution, [status(thm)], [c178,c5])). % 32.44/4.95 cnf(d61, plain, ~isFinite0(xS), inference(resolution, [status(thm)], [c175,d60])). % 32.44/4.95 cnf(d62, plain, szDzozmdt0(xc) != slcrc0, inference(resolution, [status(thm)], [d61,d59])). % 32.44/4.95 cnf(d63, plain, ~aSet0(szDzozmdt0(xc)), inference(resolution, [status(thm)], [d62,d55])). % 32.44/4.95 cnf(d64, plain, ~aFunction0(xc), inference(resolution, [status(thm)], [d63,c131])). % 32.44/4.95 cnf(d65, plain, $false, inference(resolution, [status(thm)], [c179,d64])). % 32.44/4.95 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------