%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM542+2 : 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 : n014.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 08:13:05 AM UTC 2026 % Result : Theorem 19.71s 4.52s % Output : CNFRefutation 19.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : NUM542+2 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.46 % Computer : n014.cluster.edu % 0.20/0.46 % Model : x86_64 x86_64 % 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.46 % Memory : 8046.5625MB % 0.20/0.46 % OS : Linux 6.8.0-71-generic % 0.20/0.46 % CPULimit : 300 % 0.20/0.46 % WCLimit : 300 % 0.20/0.46 % DateTime : Sat Sep 26 03:09:16 UTC 2026 % 0.20/0.46 % CPUTime : % 0.20/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 19.71/4.52 % SZS status Theorem for theBenchmark.p % 19.71/4.52 % SZS output start CNFRefutation for theBenchmark.p % 19.71/4.52 fof(mSuccNum, axiom, ! [X0] : ((aElementOf0(X0,szNzAzT0) => (aElementOf0(szszuzczcdt0(X0),szNzAzT0) & szszuzczcdt0(X0) != sz00)))). % 19.71/4.52 fof(mNatNSucc, axiom, ! [X0] : ((aElementOf0(X0,szNzAzT0) => X0 != szszuzczcdt0(X0)))). % 19.71/4.52 fof(mLessSucc, axiom, ! [X0] : ((aElementOf0(X0,szNzAzT0) => sdtlseqdt0(X0,szszuzczcdt0(X0))))). % 19.71/4.52 fof(mLessASymm, axiom, ! [X0] : ! [X1] : (((aElementOf0(X0,szNzAzT0) & aElementOf0(X1,szNzAzT0)) => ((sdtlseqdt0(X0,X1) & sdtlseqdt0(X1,X0)) => X0 = X1)))). % 19.71/4.52 fof(mLessTrans, axiom, ! [X0] : ! [X1] : ! [X2] : (((aElementOf0(X0,szNzAzT0) & (aElementOf0(X1,szNzAzT0) & aElementOf0(X2,szNzAzT0))) => ((sdtlseqdt0(X0,X1) & sdtlseqdt0(X1,X2)) => sdtlseqdt0(X0,X2))))). % 19.71/4.52 fof(mLessTotal, axiom, ! [X0] : ! [X1] : (((aElementOf0(X0,szNzAzT0) & aElementOf0(X1,szNzAzT0)) => (sdtlseqdt0(X0,X1) | sdtlseqdt0(szszuzczcdt0(X1),X0))))). % 19.71/4.52 fof(m__1964, hypothesis, (aElementOf0(xm,szNzAzT0) & aElementOf0(xn,szNzAzT0))). % 19.71/4.52 fof(m__, conjecture, ((sdtlseqdt0(xm,xn) => ((aSet0(slbdtrb0(xm)) & ! [X0] : ((aElementOf0(X0,slbdtrb0(xm)) <=> (aElementOf0(X0,szNzAzT0) & sdtlseqdt0(szszuzczcdt0(X0),xm))))) => ((aSet0(slbdtrb0(xn)) & ! [X0] : ((aElementOf0(X0,slbdtrb0(xn)) <=> (aElementOf0(X0,szNzAzT0) & sdtlseqdt0(szszuzczcdt0(X0),xn))))) => (! [X0] : ((aElementOf0(X0,slbdtrb0(xm)) => aElementOf0(X0,slbdtrb0(xn)))) | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)))))) & ((aSet0(slbdtrb0(xm)) & (! [X0] : ((aElementOf0(X0,slbdtrb0(xm)) <=> (aElementOf0(X0,szNzAzT0) & sdtlseqdt0(szszuzczcdt0(X0),xm)))) & (aSet0(slbdtrb0(xn)) & (! [X0] : ((aElementOf0(X0,slbdtrb0(xn)) <=> (aElementOf0(X0,szNzAzT0) & sdtlseqdt0(szszuzczcdt0(X0),xn)))) & (! [X0] : ((aElementOf0(X0,slbdtrb0(xm)) => aElementOf0(X0,slbdtrb0(xn)))) & aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))))))) => sdtlseqdt0(xm,xn)))). % 19.71/4.52 fof(negated_conjecture, negated_conjecture, ~(((sdtlseqdt0(xm,xn) => ((aSet0(slbdtrb0(xm)) & ! [X0] : ((aElementOf0(X0,slbdtrb0(xm)) <=> (aElementOf0(X0,szNzAzT0) & sdtlseqdt0(szszuzczcdt0(X0),xm))))) => ((aSet0(slbdtrb0(xn)) & ! [X0] : ((aElementOf0(X0,slbdtrb0(xn)) <=> (aElementOf0(X0,szNzAzT0) & sdtlseqdt0(szszuzczcdt0(X0),xn))))) => (! [X0] : ((aElementOf0(X0,slbdtrb0(xm)) => aElementOf0(X0,slbdtrb0(xn)))) | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)))))) & ((aSet0(slbdtrb0(xm)) & (! [X0] : ((aElementOf0(X0,slbdtrb0(xm)) <=> (aElementOf0(X0,szNzAzT0) & sdtlseqdt0(szszuzczcdt0(X0),xm)))) & (aSet0(slbdtrb0(xn)) & (! [X0] : ((aElementOf0(X0,slbdtrb0(xn)) <=> (aElementOf0(X0,szNzAzT0) & sdtlseqdt0(szszuzczcdt0(X0),xn)))) & (! [X0] : ((aElementOf0(X0,slbdtrb0(xm)) => aElementOf0(X0,slbdtrb0(xn)))) & aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))))))) => sdtlseqdt0(xm,xn)))), inference(negate_conjecture, [status(cth)], [m__])). % 19.71/4.52 cnf(c55, plain, ~aElementOf0(X0,szNzAzT0) | aElementOf0(szszuzczcdt0(X0),szNzAzT0), inference(clausification, [status(esa)], [mSuccNum])). % 19.71/4.52 cnf(c60, plain, ~aElementOf0(X0,szNzAzT0) | X0 != szszuzczcdt0(X0), inference(clausification, [status(esa)], [mNatNSucc])). % 19.71/4.52 cnf(c65, plain, ~aElementOf0(X0,szNzAzT0) | sdtlseqdt0(X0,szszuzczcdt0(X0)), inference(clausification, [status(esa)], [mLessSucc])). % 19.71/4.52 cnf(c67, plain, ~sdtlseqdt0(X0,X1) | ~aElementOf0(X1,szNzAzT0) | ~sdtlseqdt0(X1,X0) | X1 = X0 | ~aElementOf0(X0,szNzAzT0), inference(clausification, [status(esa)], [mLessASymm])). % 19.71/4.52 cnf(c68, plain, ~aElementOf0(X0,szNzAzT0) | ~sdtlseqdt0(X0,X1) | sdtlseqdt0(X2,X1) | ~aElementOf0(X2,szNzAzT0) | ~sdtlseqdt0(X2,X0) | ~aElementOf0(X1,szNzAzT0), inference(clausification, [status(esa)], [mLessTrans])). % 19.71/4.52 cnf(c69, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(X1,szNzAzT0) | sdtlseqdt0(X0,X1) | sdtlseqdt0(szszuzczcdt0(X1),X0), inference(clausification, [status(esa)], [mLessTotal])). % 19.71/4.52 cnf(c107, plain, aElementOf0(xm,szNzAzT0), inference(clausification, [status(esa)], [m__1964])). % 19.71/4.52 cnf(c108, plain, aElementOf0(xn,szNzAzT0), inference(clausification, [status(esa)], [m__1964])). % 19.71/4.52 cnf(c109, plain, ~X0 | ~X1, inference(clausification, [status(esa)], [negated_conjecture])). % 19.71/4.52 cnf(c110, plain, X0 | sdtlseqdt0(xm,xn), inference(clausification, [status(esa)], [negated_conjecture])). % 19.71/4.52 cnf(c112, plain, X0 | ~aElementOf0(X1,slbdtrb0(xm)) | aElementOf0(X1,szNzAzT0), inference(clausification, [status(esa)], [negated_conjecture])). % 19.71/4.52 cnf(c113, plain, X0 | ~aElementOf0(X1,slbdtrb0(xm)) | sdtlseqdt0(szszuzczcdt0(X1),xm), inference(clausification, [status(esa)], [negated_conjecture])). % 19.71/4.52 cnf(c118, plain, X0 | aElementOf0(X1,slbdtrb0(xn)) | ~aElementOf0(X1,szNzAzT0) | ~sdtlseqdt0(szszuzczcdt0(X1),xn), inference(clausification, [status(esa)], [negated_conjecture])). % 19.71/4.52 cnf(c119, plain, X0 | aElementOf0(sK105,slbdtrb0(xm)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.71/4.52 cnf(c120, plain, X0 | ~aElementOf0(sK105,slbdtrb0(xn)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.71/4.52 cnf(c125, plain, X0 | aElementOf0(X1,slbdtrb0(xm)) | ~aElementOf0(X1,szNzAzT0) | ~sdtlseqdt0(szszuzczcdt0(X1),xm), inference(clausification, [status(esa)], [negated_conjecture])). % 19.71/4.52 cnf(c128, plain, X0 | ~aElementOf0(X1,slbdtrb0(xn)) | sdtlseqdt0(szszuzczcdt0(X1),xn), inference(clausification, [status(esa)], [negated_conjecture])). % 19.71/4.52 cnf(c130, plain, X0 | ~aElementOf0(X1,slbdtrb0(xm)) | aElementOf0(X1,slbdtrb0(xn)), inference(clausification, [status(esa)], [negated_conjecture])). % 19.71/4.52 cnf(c132, plain, X0 | ~sdtlseqdt0(xm,xn), inference(clausification, [status(esa)], [negated_conjecture])). % 19.71/4.52 cnf(d0, plain, szszuzczcdt0(X0) = X0 | ~aElementOf0(szszuzczcdt0(X0),szNzAzT0) | ~aElementOf0(X0,szNzAzT0) | ~sdtlseqdt0(szszuzczcdt0(X0),X0) | ~aElementOf0(X0,szNzAzT0), inference(resolution, [status(thm)], [c67,c65])). % 19.71/4.52 cnf(d1, plain, ~aElementOf0(xm,szNzAzT0) | ~aElementOf0(X0,szNzAzT0) | sdtlseqdt0(xm,X0) | ~aElementOf0(X0,szNzAzT0) | aElementOf0(X0,slbdtrb0(xm)) | 'Ts102', inference(resolution, [status(thm)], [c69,c125])). % 19.71/4.52 cnf(d2, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(xm,szNzAzT0) | sdtlseqdt0(xm,X0) | 'Ts102' | aElementOf0(X0,slbdtrb0(xn)) | 'Ts102', inference(resolution, [status(thm)], [d1,c130])). % 19.71/4.52 cnf(d3, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(xm,szNzAzT0) | sdtlseqdt0(xm,X0) | 'Ts102' | sdtlseqdt0(szszuzczcdt0(X0),xn) | 'Ts102', inference(resolution, [status(thm)], [d2,c128])). % 19.71/4.52 cnf(d4, plain, ~aElementOf0(X0,szNzAzT0) | sdtlseqdt0(szszuzczcdt0(X0),xn) | sdtlseqdt0(xm,X0) | 'Ts102', inference(resolution, [status(thm)], [c107,d3])). % 19.71/4.52 cnf(d5, plain, aElementOf0(sK105,szNzAzT0) | 'Ts101' | 'Ts101', inference(resolution, [status(thm)], [c112,c119])). % 19.71/4.52 cnf(d6, plain, sdtlseqdt0(szszuzczcdt0(sK105),xm) | 'Ts101' | 'Ts101', inference(resolution, [status(thm)], [c113,c119])). % 19.71/4.52 cnf(d7, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(xm,szNzAzT0) | ~aElementOf0(szszuzczcdt0(sK105),szNzAzT0) | ~sdtlseqdt0(xm,X0) | sdtlseqdt0(szszuzczcdt0(sK105),X0) | 'Ts101', inference(resolution, [status(thm)], [c68,d6])). % 19.71/4.52 cnf(d8, plain, ~aElementOf0(X0,szNzAzT0) | ~aElementOf0(szszuzczcdt0(sK105),szNzAzT0) | sdtlseqdt0(szszuzczcdt0(sK105),X0) | ~sdtlseqdt0(xm,X0) | 'Ts101', inference(resolution, [status(thm)], [c107,d7])). % 19.71/4.52 cnf(d9, plain, ~aElementOf0(X0,szNzAzT0) | sdtlseqdt0(szszuzczcdt0(sK105),X0) | ~sdtlseqdt0(xm,X0) | 'Ts101' | ~aElementOf0(sK105,szNzAzT0), inference(resolution, [status(thm)], [d8,c55])). % 19.71/4.52 cnf(d10, plain, ~aElementOf0(xn,szNzAzT0) | ~aElementOf0(sK105,szNzAzT0) | ~sdtlseqdt0(xm,xn) | 'Ts101' | ~aElementOf0(sK105,szNzAzT0) | aElementOf0(sK105,slbdtrb0(xn)) | 'Ts101', inference(resolution, [status(thm)], [d9,c118])). % 19.71/4.52 cnf(d11, plain, ~aElementOf0(sK105,szNzAzT0) | aElementOf0(sK105,slbdtrb0(xn)) | ~sdtlseqdt0(xm,xn) | 'Ts101', inference(resolution, [status(thm)], [c108,d10])). % 19.71/4.52 cnf(d12, plain, ~aElementOf0(sK105,szNzAzT0) | ~sdtlseqdt0(xm,xn) | 'Ts101' | 'Ts101', inference(resolution, [status(thm)], [d11,c120])). % 19.71/4.52 cnf(d13, plain, ~aElementOf0(sK105,szNzAzT0) | 'Ts101' | 'Ts101', inference(resolution, [status(thm)], [d12,c110])). % 19.71/4.52 cnf(d14, plain, 'Ts101' | 'Ts101', inference(resolution, [status(thm)], [d13,d5])). % 19.71/4.52 cnf(d15, plain, ~'Ts102', inference(resolution, [status(thm)], [d14,c109])). % 19.71/4.52 cnf(d16, plain, ~aElementOf0(X0,szNzAzT0) | sdtlseqdt0(szszuzczcdt0(X0),xn) | sdtlseqdt0(xm,X0), inference(resolution, [status(thm)], [d15,d4])). % 19.71/4.52 cnf(d17, plain, ~aElementOf0(xn,szNzAzT0) | sdtlseqdt0(xm,xn) | szszuzczcdt0(xn) = xn | ~aElementOf0(xn,szNzAzT0) | ~aElementOf0(szszuzczcdt0(xn),szNzAzT0), inference(resolution, [status(thm)], [d16,d0])). % 19.71/4.52 cnf(d18, plain, szszuzczcdt0(xn) = xn | ~aElementOf0(szszuzczcdt0(xn),szNzAzT0) | sdtlseqdt0(xm,xn), inference(resolution, [status(thm)], [c108,d17])). % 19.71/4.52 cnf(d19, plain, ~sdtlseqdt0(xm,xn), inference(resolution, [status(thm)], [d15,c132])). % 19.71/4.52 cnf(d20, plain, szszuzczcdt0(xn) = xn | ~aElementOf0(szszuzczcdt0(xn),szNzAzT0), inference(resolution, [status(thm)], [d19,d18])). % 19.71/4.52 cnf(d21, plain, szszuzczcdt0(xn) = xn | ~aElementOf0(xn,szNzAzT0), inference(resolution, [status(thm)], [d20,c55])). % 19.71/4.52 cnf(d22, plain, szszuzczcdt0(xn) = xn, inference(resolution, [status(thm)], [c108,d21])). % 19.71/4.52 cnf(d23, plain, xn != xn | ~aElementOf0(xn,szNzAzT0), inference(superposition, [status(thm)], [d22,c60])). % 19.71/4.52 cnf(d24, plain, xn != xn, inference(resolution, [status(thm)], [c108,d23])). % 19.71/4.52 cnf(d25, plain, $false, inference(equality_resolution, [status(thm)], [d24])). % 19.71/4.52 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------