%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM612+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 : n013.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 08:13:20 AM UTC 2026 % Result : Theorem 22.85s 3.70s % Output : CNFRefutation 22.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM612+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 % 0.10/0.37 % Computer : n013.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 26 03:26:21 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 22.85/3.70 % SZS status Theorem for theBenchmark.p % 22.85/3.70 % SZS output start CNFRefutation for theBenchmark.p % 22.85/3.70 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 22.85/3.70 fof(mSubFSet, axiom, ! [X0] : (((aSet0(X0) & isFinite0(X0)) => ! [X1] : ((aSubsetOf0(X1,X0) => isFinite0(X1)))))). % 22.85/3.70 fof(mNATSet, axiom, (aSet0(szNzAzT0) & isCountable0(szNzAzT0))). % 22.85/3.70 fof(mCardNum, axiom, ! [X0] : ((aSet0(X0) => (aElementOf0(sbrdtbr0(X0),szNzAzT0) <=> isFinite0(X0))))). % 22.85/3.70 fof(mCardDiff, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : (((isFinite0(X0) & aElementOf0(X1,X0)) => szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)))))). % 22.85/3.70 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))))))))). % 22.85/3.70 fof(m__3418, hypothesis, aElementOf0(xK,szNzAzT0)). % 22.85/3.70 fof(m__3435, hypothesis, (aSubsetOf0(xS,szNzAzT0) & isCountable0(xS))). % 22.85/3.70 fof(m__3453, hypothesis, (aFunction0(xc) & (szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)))). % 22.85/3.70 fof(m__4891, hypothesis, (aSet0(xO) & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))). % 22.85/3.70 fof(m__5093, hypothesis, (aSubsetOf0(xQ,xO) & xQ != slcrc0)). % 22.85/3.70 fof(m__5116, hypothesis, aElementOf0(xQ,szDzozmdt0(xc))). % 22.85/3.70 fof(m__5147, hypothesis, xp = szmzizndt0(xQ)). % 22.85/3.70 fof(m__5164, hypothesis, (aSet0(xP) & xP = sdtmndt0(xQ,szmzizndt0(xQ)))). % 22.85/3.70 fof(m__5173, hypothesis, aElementOf0(xp,xQ)). % 22.85/3.70 fof(m__5195, hypothesis, aSubsetOf0(xP,xQ)). % 22.85/3.70 fof(m__, conjecture, (szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) & aElementOf0(sbrdtbr0(xP),szNzAzT0))). % 22.85/3.70 fof(negated_conjecture, negated_conjecture, ~((szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) & aElementOf0(sbrdtbr0(xP),szNzAzT0))), inference(negate_conjecture, [status(cth)], [m__])). % 22.85/3.70 cnf(c7, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 22.85/3.70 cnf(c11, plain, ~aSet0(X0) | ~isFinite0(X0) | ~aSubsetOf0(X1,X0) | isFinite0(X1), inference(clausification, [status(esa)], [mSubFSet])). % 22.85/3.70 cnf(c52, plain, aSet0(szNzAzT0), inference(clausification, [status(esa)], [mNATSet])). % 22.85/3.70 cnf(c72, plain, ~aSet0(X0) | ~aElementOf0(sbrdtbr0(X0),szNzAzT0) | isFinite0(X0), inference(clausification, [status(esa)], [mCardNum])). % 22.85/3.70 cnf(c73, plain, ~aSet0(X0) | aElementOf0(sbrdtbr0(X0),szNzAzT0) | ~isFinite0(X0), inference(clausification, [status(esa)], [mCardNum])). % 22.85/3.70 cnf(c77, plain, ~aSet0(X0) | ~isFinite0(X0) | ~aElementOf0(X1,X0) | szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0), inference(clausification, [status(esa)], [mCardDiff])). % 22.85/3.70 cnf(c112, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | X2 != slbdtsldtrb0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefSel])). % 22.85/3.70 cnf(c116, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | sbrdtbr0(X4) = X2, inference(clausification, [status(esa)], [mDefSel])). % 22.85/3.70 cnf(c174, plain, aElementOf0(xK,szNzAzT0), inference(clausification, [status(esa)], [m__3418])). % 22.85/3.70 cnf(c175, plain, aSubsetOf0(xS,szNzAzT0), inference(clausification, [status(esa)], [m__3435])). % 22.85/3.70 cnf(c178, plain, szDzozmdt0(xc) = slbdtsldtrb0(xS,xK), inference(clausification, [status(esa)], [m__3453])). % 22.85/3.70 cnf(c220, plain, aSet0(xO), inference(clausification, [status(esa)], [m__4891])). % 22.85/3.70 cnf(c229, plain, aSubsetOf0(xQ,xO), inference(clausification, [status(esa)], [m__5093])). % 22.85/3.70 cnf(c232, plain, aElementOf0(xQ,szDzozmdt0(xc)), inference(clausification, [status(esa)], [m__5116])). % 22.85/3.70 cnf(c233, plain, xp = szmzizndt0(xQ), inference(clausification, [status(esa)], [m__5147])). % 22.85/3.70 cnf(c234, plain, aSet0(xP), inference(clausification, [status(esa)], [m__5164])). % 22.85/3.70 cnf(c235, plain, xP = sdtmndt0(xQ,szmzizndt0(xQ)), inference(clausification, [status(esa)], [m__5164])). % 22.85/3.70 cnf(c236, plain, aElementOf0(xp,xQ), inference(clausification, [status(esa)], [m__5173])). % 22.85/3.70 cnf(c238, plain, aSubsetOf0(xP,xQ), inference(clausification, [status(esa)], [m__5195])). % 22.85/3.70 cnf(c240, plain, szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ) | ~aElementOf0(sbrdtbr0(xP),szNzAzT0), inference(clausification, [status(esa)], [negated_conjecture])). % 22.85/3.70 cnf(d0, plain, X0 != szDzozmdt0(xc) | ~aSet0(xS) | ~aElementOf0(xK,szNzAzT0) | 'Ts106'(xS,xK,X0), inference(superposition, [status(thm)], [c178,c112])). % 22.85/3.70 cnf(d1, plain, X0 != szDzozmdt0(xc) | ~aSet0(xS) | 'Ts106'(xS,xK,X0), inference(resolution, [status(thm)], [c174,d0])). % 22.85/3.70 cnf(d2, plain, aSet0(xS) | ~aSet0(szNzAzT0), inference(resolution, [status(thm)], [c175,c7])). % 22.85/3.70 cnf(d3, plain, aSet0(xS), inference(resolution, [status(thm)], [c52,d2])). % 22.85/3.70 cnf(d4, plain, X0 != szDzozmdt0(xc) | 'Ts106'(xS,xK,X0), inference(resolution, [status(thm)], [d3,d1])). % 22.85/3.70 cnf(d5, plain, 'Ts106'(xS,xK,szDzozmdt0(xc)), inference(equality_resolution, [status(thm)], [d4])). % 22.85/3.70 cnf(d6, plain, sbrdtbr0(X0) = xK | ~aElementOf0(X0,szDzozmdt0(xc)), inference(resolution, [status(thm)], [d5,c116])). % 22.85/3.70 cnf(d7, plain, sbrdtbr0(xQ) = xK, inference(resolution, [status(thm)], [d6,c232])). % 22.85/3.70 cnf(d8, plain, szszuzczcdt0(sbrdtbr0(xP)) != xK | ~aElementOf0(sbrdtbr0(xP),szNzAzT0), inference(demodulation, [status(thm)], [c240,d7])). % 22.85/3.70 cnf(d9, plain, xP = sdtmndt0(xQ,xp), inference(demodulation, [status(thm)], [c235,c233])). % 22.85/3.70 cnf(d10, plain, szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp))) = sbrdtbr0(xQ) | ~aSet0(xQ) | ~isFinite0(xQ), inference(resolution, [status(thm)], [c77,c236])). % 22.85/3.70 cnf(d11, plain, szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) | ~aSet0(xQ) | ~isFinite0(xQ), inference(demodulation, [status(thm)], [d10,d9])). % 22.85/3.70 cnf(d12, plain, aSet0(xQ) | ~aSet0(xO), inference(resolution, [status(thm)], [c229,c7])). % 22.85/3.70 cnf(d13, plain, aSet0(xQ), inference(resolution, [status(thm)], [c220,d12])). % 22.85/3.70 cnf(d14, plain, szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ) | ~isFinite0(xQ), inference(resolution, [status(thm)], [d13,d11])). % 22.85/3.70 cnf(d15, plain, szszuzczcdt0(sbrdtbr0(xP)) = xK | ~isFinite0(xQ), inference(demodulation, [status(thm)], [d14,d7])). % 22.85/3.70 cnf(d16, plain, ~aElementOf0(xK,szNzAzT0) | ~aSet0(xQ) | isFinite0(xQ), inference(superposition, [status(thm)], [d7,c72])). % 22.85/3.70 cnf(d17, plain, ~aSet0(xQ) | isFinite0(xQ), inference(resolution, [status(thm)], [c174,d16])). % 22.85/3.70 cnf(d18, plain, isFinite0(xQ), inference(resolution, [status(thm)], [d13,d17])). % 22.85/3.70 cnf(d19, plain, szszuzczcdt0(sbrdtbr0(xP)) = xK, inference(resolution, [status(thm)], [d18,d15])). % 22.85/3.70 cnf(d20, plain, ~aElementOf0(sbrdtbr0(xP),szNzAzT0), inference(resolution, [status(thm)], [d19,d8])). % 22.85/3.70 cnf(d21, plain, ~aSet0(xP) | ~isFinite0(xP), inference(resolution, [status(thm)], [d20,c73])). % 22.85/3.70 cnf(d22, plain, ~isFinite0(xP), inference(resolution, [status(thm)], [c234,d21])). % 22.85/3.70 cnf(d23, plain, ~aSet0(xQ) | isFinite0(xP) | ~isFinite0(xQ), inference(resolution, [status(thm)], [c238,c11])). % 22.85/3.70 cnf(d24, plain, ~isFinite0(xQ) | isFinite0(xP), inference(resolution, [status(thm)], [d13,d23])). % 22.85/3.70 cnf(d25, plain, isFinite0(xP), inference(resolution, [status(thm)], [d18,d24])). % 22.85/3.70 cnf(d26, plain, $false, inference(resolution, [status(thm)], [d25,d22])). % 22.85/3.70 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------