%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM611+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 : n011.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 08:13:19 AM UTC 2026 % Result : Theorem 36.49s 6.12s % Output : CNFRefutation 36.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM611+1 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.11/0.37 % Computer : n011.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Sat Sep 26 03:26:44 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 36.49/6.12 % SZS status Theorem for theBenchmark.p % 36.49/6.12 % SZS output start CNFRefutation for theBenchmark.p % 36.49/6.12 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 36.49/6.12 fof(mSubFSet, axiom, ! [X0] : (((aSet0(X0) & isFinite0(X0)) => ! [X1] : ((aSubsetOf0(X1,X0) => isFinite0(X1)))))). % 36.49/6.12 fof(mNATSet, axiom, (aSet0(szNzAzT0) & isCountable0(szNzAzT0))). % 36.49/6.12 fof(mSuccEquSucc, axiom, ! [X0] : ! [X1] : (((aElementOf0(X0,szNzAzT0) & aElementOf0(X1,szNzAzT0)) => (szszuzczcdt0(X0) = szszuzczcdt0(X1) => X0 = X1)))). % 36.49/6.12 fof(mCardNum, axiom, ! [X0] : ((aSet0(X0) => (aElementOf0(sbrdtbr0(X0),szNzAzT0) <=> isFinite0(X0))))). % 36.49/6.12 fof(mCardDiff, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : (((isFinite0(X0) & aElementOf0(X1,X0)) => szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)))))). % 36.49/6.12 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))))))))). % 36.49/6.12 fof(m__3418, hypothesis, aElementOf0(xK,szNzAzT0)). % 36.49/6.12 fof(m__3435, hypothesis, (aSubsetOf0(xS,szNzAzT0) & isCountable0(xS))). % 36.49/6.12 fof(m__3453, hypothesis, (aFunction0(xc) & (szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)))). % 36.49/6.12 fof(m__3533, hypothesis, (aElementOf0(xk,szNzAzT0) & szszuzczcdt0(xk) = xK)). % 36.49/6.12 fof(m__4891, hypothesis, (aSet0(xO) & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))). % 36.49/6.12 fof(m__5093, hypothesis, (aSubsetOf0(xQ,xO) & xQ != slcrc0)). % 36.49/6.12 fof(m__5116, hypothesis, aElementOf0(xQ,szDzozmdt0(xc))). % 36.49/6.12 fof(m__5147, hypothesis, xp = szmzizndt0(xQ)). % 36.49/6.12 fof(m__5164, hypothesis, (aSet0(xP) & xP = sdtmndt0(xQ,szmzizndt0(xQ)))). % 36.49/6.12 fof(m__5173, hypothesis, aElementOf0(xp,xQ)). % 36.49/6.12 fof(m__5195, hypothesis, aSubsetOf0(xP,xQ)). % 36.49/6.12 fof(m__, conjecture, sbrdtbr0(xP) = xk). % 36.49/6.12 fof(negated_conjecture, negated_conjecture, sbrdtbr0(xP) != xk, inference(negate_conjecture, [status(cth)], [m__])). % 36.49/6.12 cnf(c7, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 36.49/6.12 cnf(c11, plain, ~aSet0(X0) | ~isFinite0(X0) | ~aSubsetOf0(X1,X0) | isFinite0(X1), inference(clausification, [status(esa)], [mSubFSet])). % 36.49/6.12 cnf(c52, plain, aSet0(szNzAzT0), inference(clausification, [status(esa)], [mNATSet])). % 36.49/6.12 cnf(c57, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(X1,szNzAzT0) | szszuzczcdt0(X0) != szszuzczcdt0(X1) | X0 = X1, inference(clausification, [status(esa)], [mSuccEquSucc])). % 36.49/6.12 cnf(c72, plain, ~aSet0(X0) | ~aElementOf0(sbrdtbr0(X0),szNzAzT0) | isFinite0(X0), inference(clausification, [status(esa)], [mCardNum])). % 36.49/6.12 cnf(c73, plain, ~aSet0(X0) | aElementOf0(sbrdtbr0(X0),szNzAzT0) | ~isFinite0(X0), inference(clausification, [status(esa)], [mCardNum])). % 36.49/6.12 cnf(c77, plain, ~aSet0(X0) | ~isFinite0(X0) | ~aElementOf0(X1,X0) | szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0), inference(clausification, [status(esa)], [mCardDiff])). % 36.49/6.12 cnf(c112, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | X2 != slbdtsldtrb0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefSel])). % 36.49/6.12 cnf(c116, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | sbrdtbr0(X4) = X2, inference(clausification, [status(esa)], [mDefSel])). % 36.49/6.12 cnf(c174, plain, aElementOf0(xK,szNzAzT0), inference(clausification, [status(esa)], [m__3418])). % 36.49/6.12 cnf(c175, plain, aSubsetOf0(xS,szNzAzT0), inference(clausification, [status(esa)], [m__3435])). % 36.49/6.12 cnf(c178, plain, szDzozmdt0(xc) = slbdtsldtrb0(xS,xK), inference(clausification, [status(esa)], [m__3453])). % 36.49/6.12 cnf(c186, plain, aElementOf0(xk,szNzAzT0), inference(clausification, [status(esa)], [m__3533])). % 36.49/6.12 cnf(c187, plain, szszuzczcdt0(xk) = xK, inference(clausification, [status(esa)], [m__3533])). % 36.49/6.12 cnf(c220, plain, aSet0(xO), inference(clausification, [status(esa)], [m__4891])). % 36.49/6.12 cnf(c229, plain, aSubsetOf0(xQ,xO), inference(clausification, [status(esa)], [m__5093])). % 36.49/6.12 cnf(c232, plain, aElementOf0(xQ,szDzozmdt0(xc)), inference(clausification, [status(esa)], [m__5116])). % 36.49/6.12 cnf(c233, plain, xp = szmzizndt0(xQ), inference(clausification, [status(esa)], [m__5147])). % 36.49/6.12 cnf(c234, plain, aSet0(xP), inference(clausification, [status(esa)], [m__5164])). % 36.49/6.12 cnf(c235, plain, xP = sdtmndt0(xQ,szmzizndt0(xQ)), inference(clausification, [status(esa)], [m__5164])). % 36.49/6.12 cnf(c236, plain, aElementOf0(xp,xQ), inference(clausification, [status(esa)], [m__5173])). % 36.49/6.12 cnf(c238, plain, aSubsetOf0(xP,xQ), inference(clausification, [status(esa)], [m__5195])). % 36.49/6.12 cnf(c240, plain, sbrdtbr0(xP) != xk, inference(clausification, [status(esa)], [negated_conjecture])). % 36.49/6.12 cnf(d0, plain, xK != szszuzczcdt0(X0) | xk = X0 | ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(xk,szNzAzT0), inference(superposition, [status(thm)], [c187,c57])). % 36.49/6.12 cnf(d1, plain, xK != szszuzczcdt0(X0) | xk = X0 | ~aElementOf0(X0,szNzAzT0), inference(resolution, [status(thm)], [c186,d0])). % 36.49/6.12 cnf(d2, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | 'Ts106'(X0,X1,slbdtsldtrb0(X0,X1)), inference(equality_resolution, [status(thm)], [c112])). % 36.49/6.12 cnf(d3, plain, 'Ts106'(xS,xK,szDzozmdt0(xc)) | ~aSet0(xS) | ~aElementOf0(xK,szNzAzT0), inference(superposition, [status(thm)], [c178,d2])). % 36.49/6.12 cnf(d4, plain, ~aSet0(xS) | 'Ts106'(xS,xK,szDzozmdt0(xc)), inference(resolution, [status(thm)], [c174,d3])). % 36.49/6.12 cnf(d5, plain, aSet0(xS) | ~aSet0(szNzAzT0), inference(resolution, [status(thm)], [c7,c175])). % 36.49/6.12 cnf(d6, plain, aSet0(xS), inference(resolution, [status(thm)], [c52,d5])). % 36.49/6.12 cnf(d7, plain, 'Ts106'(xS,xK,szDzozmdt0(xc)), inference(resolution, [status(thm)], [d6,d4])). % 36.49/6.12 cnf(d8, plain, sbrdtbr0(X0) = xK | ~aElementOf0(X0,szDzozmdt0(xc)), inference(resolution, [status(thm)], [d7,c116])). % 36.49/6.12 cnf(d9, plain, sbrdtbr0(xQ) = xK, inference(resolution, [status(thm)], [d8,c232])). % 36.49/6.12 cnf(d10, plain, xP = sdtmndt0(xQ,xp), inference(demodulation, [status(thm)], [c235,c233])). % 36.49/6.12 cnf(d11, plain, szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) | ~aSet0(xQ) | ~aElementOf0(xp,xQ) | ~isFinite0(xQ), inference(superposition, [status(thm)], [d10,c77])). % 36.49/6.12 cnf(d12, plain, szszuzczcdt0(sbrdtbr0(xP)) = xK | ~aSet0(xQ) | ~aElementOf0(xp,xQ) | ~isFinite0(xQ), inference(demodulation, [status(thm)], [d11,d9])). % 36.49/6.12 cnf(d13, plain, szszuzczcdt0(sbrdtbr0(xP)) = xK | ~aSet0(xQ) | ~isFinite0(xQ), inference(resolution, [status(thm)], [c236,d12])). % 36.49/6.12 cnf(d14, plain, aSet0(xQ) | ~aSet0(xO), inference(resolution, [status(thm)], [c7,c229])). % 36.49/6.12 cnf(d15, plain, aSet0(xQ), inference(resolution, [status(thm)], [c220,d14])). % 36.49/6.12 cnf(d16, plain, szszuzczcdt0(sbrdtbr0(xP)) = xK | ~isFinite0(xQ), inference(resolution, [status(thm)], [d15,d13])). % 36.49/6.12 cnf(d17, plain, ~aElementOf0(xK,szNzAzT0) | ~aSet0(xQ) | isFinite0(xQ), inference(superposition, [status(thm)], [d9,c72])). % 36.49/6.12 cnf(d18, plain, ~aSet0(xQ) | isFinite0(xQ), inference(resolution, [status(thm)], [c174,d17])). % 36.49/6.12 cnf(d19, plain, isFinite0(xQ), inference(resolution, [status(thm)], [d15,d18])). % 36.49/6.12 cnf(d20, plain, szszuzczcdt0(sbrdtbr0(xP)) = xK, inference(resolution, [status(thm)], [d19,d16])). % 36.49/6.12 cnf(d21, plain, xK != xK | xk = sbrdtbr0(xP) | ~aElementOf0(sbrdtbr0(xP),szNzAzT0), inference(superposition, [status(thm)], [d20,d1])). % 36.49/6.12 cnf(d22, plain, xk = sbrdtbr0(xP) | ~aElementOf0(sbrdtbr0(xP),szNzAzT0), inference(equality_resolution, [status(thm)], [d21])). % 36.49/6.12 cnf(d23, plain, xk = sbrdtbr0(xP) | ~aSet0(xP) | ~isFinite0(xP), inference(resolution, [status(thm)], [d22,c73])). % 36.49/6.12 cnf(d24, plain, xk = sbrdtbr0(xP) | ~isFinite0(xP), inference(resolution, [status(thm)], [c234,d23])). % 36.49/6.12 cnf(d25, plain, ~aSet0(xQ) | isFinite0(xP) | ~isFinite0(xQ), inference(resolution, [status(thm)], [c11,c238])). % 36.49/6.12 cnf(d26, plain, ~isFinite0(xQ) | isFinite0(xP), inference(resolution, [status(thm)], [d15,d25])). % 36.49/6.12 cnf(d27, plain, isFinite0(xP), inference(resolution, [status(thm)], [d19,d26])). % 36.49/6.12 cnf(d28, plain, xk = sbrdtbr0(xP), inference(resolution, [status(thm)], [d27,d24])). % 36.49/6.12 cnf(d29, plain, xk != xk, inference(demodulation, [status(thm)], [c240,d28])). % 36.49/6.12 cnf(d30, plain, $false, inference(equality_resolution, [status(thm)], [d29])). % 36.49/6.12 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------