%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM607+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 : n003.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 08:13:18 AM UTC 2026 % Result : Theorem 44.98s 6.25s % Output : CNFRefutation 44.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM607+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 % 0.10/0.37 % Computer : n003.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 03:27:53 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 44.98/6.25 % SZS status Theorem for theBenchmark.p % 44.98/6.25 % SZS output start CNFRefutation for theBenchmark.p % 44.98/6.25 fof(mDefSub, definition, ! [X0] : ((aSet0(X0) => ! [X1] : ((aSubsetOf0(X1,X0) <=> (aSet0(X1) & ! [X2] : ((aElementOf0(X2,X1) => aElementOf0(X2,X0))))))))). % 44.98/6.25 fof(mNATSet, axiom, (aSet0(szNzAzT0) & isCountable0(szNzAzT0))). % 44.98/6.25 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))))))))). % 44.98/6.25 fof(m__3418, hypothesis, aElementOf0(xK,szNzAzT0)). % 44.98/6.25 fof(m__3435, hypothesis, (aSubsetOf0(xS,szNzAzT0) & isCountable0(xS))). % 44.98/6.25 fof(m__3453, hypothesis, (aFunction0(xc) & (szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)))). % 44.98/6.25 fof(m__4891, hypothesis, (aSet0(xO) & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))))). % 44.98/6.25 fof(m__4998, hypothesis, aSubsetOf0(xO,xS)). % 44.98/6.25 fof(m__5078, hypothesis, aElementOf0(xQ,slbdtsldtrb0(xO,xK))). % 44.98/6.25 fof(m__5093, hypothesis, (aSubsetOf0(xQ,xO) & xQ != slcrc0)). % 44.98/6.25 fof(m__, conjecture, aElementOf0(xQ,szDzozmdt0(xc))). % 44.98/6.25 fof(negated_conjecture, negated_conjecture, ~aElementOf0(xQ,szDzozmdt0(xc)), inference(negate_conjecture, [status(cth)], [m__])). % 44.98/6.25 cnf(c7, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | aSet0(X1), inference(clausification, [status(esa)], [mDefSub])). % 44.98/6.25 cnf(c8, plain, ~aSet0(X0) | ~aSubsetOf0(X1,X0) | ~aElementOf0(X2,X1) | aElementOf0(X2,X0), inference(clausification, [status(esa)], [mDefSub])). % 44.98/6.25 cnf(c9, plain, ~aSet0(X0) | aSubsetOf0(X1,X0) | ~aSet0(X1) | aElementOf0(sK14(X0,X1),X1), inference(clausification, [status(esa)], [mDefSub])). % 44.98/6.25 cnf(c10, plain, ~aSet0(X0) | aSubsetOf0(X1,X0) | ~aSet0(X1) | ~aElementOf0(sK14(X0,X1),X0), inference(clausification, [status(esa)], [mDefSub])). % 44.98/6.25 cnf(c52, plain, aSet0(szNzAzT0), inference(clausification, [status(esa)], [mNATSet])). % 44.98/6.25 cnf(c112, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | X2 != slbdtsldtrb0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefSel])). % 44.98/6.25 cnf(c116, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | sbrdtbr0(X4) = X2, inference(clausification, [status(esa)], [mDefSel])). % 44.98/6.25 cnf(c117, plain, ~X0(X1,X2,X3) | aElementOf0(X4,X3) | ~aSubsetOf0(X4,X1) | sbrdtbr0(X4) != X2, inference(clausification, [status(esa)], [mDefSel])). % 44.98/6.25 cnf(c174, plain, aElementOf0(xK,szNzAzT0), inference(clausification, [status(esa)], [m__3418])). % 44.98/6.25 cnf(c175, plain, aSubsetOf0(xS,szNzAzT0), inference(clausification, [status(esa)], [m__3435])). % 44.98/6.25 cnf(c178, plain, szDzozmdt0(xc) = slbdtsldtrb0(xS,xK), inference(clausification, [status(esa)], [m__3453])). % 44.98/6.25 cnf(c220, plain, aSet0(xO), inference(clausification, [status(esa)], [m__4891])). % 44.98/6.25 cnf(c227, plain, aSubsetOf0(xO,xS), inference(clausification, [status(esa)], [m__4998])). % 44.98/6.25 cnf(c228, plain, aElementOf0(xQ,slbdtsldtrb0(xO,xK)), inference(clausification, [status(esa)], [m__5078])). % 44.98/6.25 cnf(c229, plain, aSubsetOf0(xQ,xO), inference(clausification, [status(esa)], [m__5093])). % 44.98/6.25 cnf(c232, plain, ~aElementOf0(xQ,szDzozmdt0(xc)), inference(clausification, [status(esa)], [negated_conjecture])). % 44.98/6.25 cnf(d0, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | 'Ts106'(X0,X1,slbdtsldtrb0(X0,X1)), inference(equality_resolution, [status(thm)], [c112])). % 44.98/6.25 cnf(d1, plain, 'Ts106'(xS,xK,szDzozmdt0(xc)) | ~aSet0(xS) | ~aElementOf0(xK,szNzAzT0), inference(superposition, [status(thm)], [c178,d0])). % 44.98/6.25 cnf(d2, plain, ~aSet0(xS) | 'Ts106'(xS,xK,szDzozmdt0(xc)), inference(resolution, [status(thm)], [c174,d1])). % 44.98/6.25 cnf(d3, plain, aSet0(xS) | ~aSet0(szNzAzT0), inference(resolution, [status(thm)], [c7,c175])). % 44.98/6.25 cnf(d4, plain, aSet0(xS), inference(resolution, [status(thm)], [c52,d3])). % 44.98/6.25 cnf(d5, plain, 'Ts106'(xS,xK,szDzozmdt0(xc)), inference(resolution, [status(thm)], [d4,d2])). % 44.98/6.25 cnf(d6, plain, aElementOf0(X0,X1) | ~aSubsetOf0(X0,X2) | ~'Ts106'(X2,sbrdtbr0(X0),X1), inference(equality_resolution, [status(thm)], [c117])). % 44.98/6.25 cnf(d7, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | sbrdtbr0(X2) = X1 | ~aElementOf0(X2,slbdtsldtrb0(X0,X1)), inference(resolution, [status(thm)], [d0,c116])). % 44.98/6.25 cnf(d8, plain, sbrdtbr0(xQ) = xK | ~aSet0(xO) | ~aElementOf0(xK,szNzAzT0), inference(resolution, [status(thm)], [d7,c228])). % 44.98/6.25 cnf(d9, plain, sbrdtbr0(xQ) = xK | ~aElementOf0(xK,szNzAzT0), inference(resolution, [status(thm)], [c220,d8])). % 44.98/6.25 cnf(d10, plain, sbrdtbr0(xQ) = xK, inference(resolution, [status(thm)], [c174,d9])). % 44.98/6.25 cnf(d11, plain, ~'Ts106'(X0,xK,X1) | aElementOf0(xQ,X1) | ~aSubsetOf0(xQ,X0), inference(superposition, [status(thm)], [d10,d6])). % 44.98/6.25 cnf(d12, plain, aElementOf0(xQ,szDzozmdt0(xc)) | ~aSubsetOf0(xQ,xS), inference(resolution, [status(thm)], [d11,d5])). % 44.98/6.25 cnf(d13, plain, ~aSubsetOf0(xQ,xS), inference(resolution, [status(thm)], [c232,d12])). % 44.98/6.25 cnf(d14, plain, ~aSet0(xS) | aElementOf0(X0,xS) | ~aElementOf0(X0,xO), inference(resolution, [status(thm)], [c8,c227])). % 44.98/6.25 cnf(d15, plain, aElementOf0(X0,xS) | ~aElementOf0(X0,xO), inference(resolution, [status(thm)], [d4,d14])). % 44.98/6.25 cnf(d16, plain, ~aSet0(xO) | aElementOf0(X0,xO) | ~aElementOf0(X0,xQ), inference(resolution, [status(thm)], [c8,c229])). % 44.98/6.25 cnf(d17, plain, aElementOf0(X0,xO) | ~aElementOf0(X0,xQ), inference(resolution, [status(thm)], [c220,d16])). % 44.98/6.26 cnf(d18, plain, aElementOf0(sK14(X0,xQ),xO) | ~aSet0(X0) | ~aSet0(xQ) | aSubsetOf0(xQ,X0), inference(resolution, [status(thm)], [d17,c9])). % 44.98/6.26 cnf(d19, plain, aSet0(xQ) | ~aSet0(xO), inference(resolution, [status(thm)], [c7,c229])). % 44.98/6.26 cnf(d20, plain, aSet0(xQ), inference(resolution, [status(thm)], [c220,d19])). % 44.98/6.26 cnf(d21, plain, ~aSet0(X0) | aElementOf0(sK14(X0,xQ),xO) | aSubsetOf0(xQ,X0), inference(resolution, [status(thm)], [d20,d18])). % 44.98/6.26 cnf(d22, plain, ~aSet0(X0) | aSubsetOf0(xQ,X0) | aElementOf0(sK14(X0,xQ),xS), inference(resolution, [status(thm)], [d21,d15])). % 44.98/6.26 cnf(d23, plain, ~aSet0(xS) | aSubsetOf0(xQ,xS) | ~aSet0(xS) | ~aSet0(xQ) | aSubsetOf0(xQ,xS), inference(resolution, [status(thm)], [d22,c10])). % 44.98/6.26 cnf(d24, plain, ~aSet0(xQ) | aSubsetOf0(xQ,xS), inference(resolution, [status(thm)], [d4,d23])). % 44.98/6.26 cnf(d25, plain, aSubsetOf0(xQ,xS), inference(resolution, [status(thm)], [d20,d24])). % 44.98/6.26 cnf(d26, plain, $false, inference(resolution, [status(thm)], [d25,d13])). % 44.98/6.26 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------