%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM552+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 08:13:07 AM UTC 2026 % Result : Theorem 24.21s 3.72s % Output : CNFRefutation 24.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : NUM552+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 % 0.12/0.36 % Computer : n016.cluster.edu % 0.12/0.36 % Model : x86_64 x86_64 % 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.36 % Memory : 8046.5625MB % 0.12/0.36 % OS : Linux 6.8.0-71-generic % 0.12/0.36 % CPULimit : 300 % 0.12/0.36 % WCLimit : 300 % 0.12/0.36 % DateTime : Sat Sep 26 03:17:30 UTC 2026 % 0.12/0.36 % CPUTime : % 0.12/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 24.21/3.72 % SZS status Theorem for theBenchmark.p % 24.21/3.72 % SZS output start CNFRefutation for theBenchmark.p % 24.21/3.72 fof(mEOfElem, axiom, ! [X0] : ((aSet0(X0) => ! [X1] : ((aElementOf0(X1,X0) => aElement0(X1)))))). % 24.21/3.72 fof(mDefCons, definition, ! [X0] : ! [X1] : (((aSet0(X0) & aElement0(X1)) => ! [X2] : ((X2 = sdtpldt0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> (aElement0(X3) & (aElementOf0(X3,X0) | X3 = X1)))))))))). % 24.21/3.72 fof(mDefDiff, definition, ! [X0] : ! [X1] : (((aSet0(X0) & aElement0(X1)) => ! [X2] : ((X2 = sdtmndt0(X0,X1) <=> (aSet0(X2) & ! [X3] : ((aElementOf0(X3,X2) <=> (aElement0(X3) & (aElementOf0(X3,X0) & X3 != X1)))))))))). % 24.21/3.72 fof(mDiffCons, axiom, ! [X0] : ! [X1] : (((aElement0(X0) & aSet0(X1)) => (~aElementOf0(X0,X1) => sdtmndt0(sdtpldt0(X1,X0),X0) = X1)))). % 24.21/3.72 fof(m__2227, hypothesis, (aSet0(slbdtsldtrb0(xS,xk)) & (! [X0] : (((aElementOf0(X0,slbdtsldtrb0(xS,xk)) => (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,slbdtsldtrb0(xS,xk))))) & (aSet0(slbdtsldtrb0(xT,xk)) & (! [X0] : (((aElementOf0(X0,slbdtsldtrb0(xT,xk)) => (aSet0(X0) & (! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xT))) & (aSubsetOf0(X0,xT) & sbrdtbr0(X0) = xk)))) & ((((aSet0(X0) & ! [X1] : ((aElementOf0(X1,X0) => aElementOf0(X1,xT)))) | aSubsetOf0(X0,xT)) & sbrdtbr0(X0) = xk) => aElementOf0(X0,slbdtsldtrb0(xT,xk))))) & (! [X0] : ((aElementOf0(X0,slbdtsldtrb0(xS,xk)) => aElementOf0(X0,slbdtsldtrb0(xT,xk)))) & (aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)) & ~((! [X0] : (((aElementOf0(X0,slbdtsldtrb0(xS,xk)) => (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,slbdtsldtrb0(xS,xk))))) => (~? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk)) | slbdtsldtrb0(xS,xk) = slcrc0)))))))))). % 24.21/3.72 fof(m__2270, hypothesis, (aSet0(xQ) & (! [X0] : ((aElementOf0(X0,xQ) => aElementOf0(X0,xS))) & (aSubsetOf0(xQ,xS) & (sbrdtbr0(xQ) = xk & aElementOf0(xQ,slbdtsldtrb0(xS,xk))))))). % 24.21/3.72 fof(m__, conjecture, (aElementOf0(xx,xQ) => aElementOf0(xx,xT))). % 24.21/3.72 fof(negated_conjecture, negated_conjecture, ~((aElementOf0(xx,xQ) => aElementOf0(xx,xT))), inference(negate_conjecture, [status(cth)], [m__])). % 24.21/3.72 cnf(c0, plain, ~aSet0(X0) | ~aElementOf0(X1,X0) | aElement0(X1), inference(clausification, [status(esa)], [mEOfElem])). % 24.21/3.72 cnf(c15, plain, ~aSet0(X0) | ~aElement0(X1) | X2 != sdtpldt0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefCons])). % 24.21/3.72 cnf(c17, plain, ~X0(X1,X2,X3) | aSet0(X3), inference(clausification, [status(esa)], [mDefCons])). % 24.21/3.72 cnf(c31, plain, ~aSet0(X0) | ~aElement0(X1) | X2 != sdtmndt0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefDiff])). % 24.21/3.72 cnf(c36, plain, ~X0(X1,X2,X3) | ~aElementOf0(X4,X3) | X4 != X2, inference(clausification, [status(esa)], [mDefDiff])). % 24.21/3.72 cnf(c47, plain, ~aElement0(X0) | ~aSet0(X1) | aElementOf0(X0,X1) | sdtmndt0(sdtpldt0(X1,X0),X0) = X1, inference(clausification, [status(esa)], [mDiffCons])). % 24.21/3.72 cnf(c131, plain, aSet0(slbdtsldtrb0(xS,xk)), inference(clausification, [status(esa)], [m__2227])). % 24.21/3.72 cnf(c139, plain, aSet0(slbdtsldtrb0(xT,xk)), inference(clausification, [status(esa)], [m__2227])). % 24.21/3.72 cnf(c141, plain, ~aElementOf0(X0,slbdtsldtrb0(xT,xk)) | ~aElementOf0(X1,X0) | aElementOf0(X1,xT), inference(clausification, [status(esa)], [m__2227])). % 24.21/3.72 cnf(c147, plain, ~aElementOf0(X0,slbdtsldtrb0(xS,xk)) | aElementOf0(X0,slbdtsldtrb0(xT,xk)), inference(clausification, [status(esa)], [m__2227])). % 24.21/3.72 cnf(c163, plain, aElementOf0(xQ,slbdtsldtrb0(xS,xk)), inference(clausification, [status(esa)], [m__2270])). % 24.21/3.72 cnf(c169, plain, aElementOf0(xx,xQ), inference(clausification, [status(esa)], [negated_conjecture])). % 24.21/3.72 cnf(c170, plain, ~aElementOf0(xx,xT), inference(clausification, [status(esa)], [negated_conjecture])). % 24.21/3.72 cnf(d0, plain, ~aElementOf0(X0,X1) | ~'Ts29'(X2,X0,X1), inference(equality_resolution, [status(thm)], [c36])). % 24.21/3.72 cnf(d1, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts29'(X0,X1,sdtmndt0(X0,X1)), inference(equality_resolution, [status(thm)], [c31])). % 24.21/3.72 cnf(d2, plain, ~aElementOf0(X0,X1) | aElementOf0(X0,xT) | sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X1),X1) = slbdtsldtrb0(xT,xk) | ~aSet0(slbdtsldtrb0(xT,xk)) | ~aElement0(X1), inference(resolution, [status(thm)], [c141,c47])). % 24.21/3.72 cnf(d3, plain, sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),X0),X0) = slbdtsldtrb0(xT,xk) | ~aElementOf0(X1,X0) | aElementOf0(X1,xT) | ~aElement0(X0), inference(resolution, [status(thm)], [c139,d2])). % 24.21/3.72 cnf(d4, plain, sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),xQ),xQ) = slbdtsldtrb0(xT,xk) | aElementOf0(xx,xT) | ~aElement0(xQ), inference(resolution, [status(thm)], [d3,c169])). % 24.21/3.72 cnf(d5, plain, sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),xQ),xQ) = slbdtsldtrb0(xT,xk) | ~aElement0(xQ), inference(resolution, [status(thm)], [c170,d4])). % 24.21/3.72 cnf(d6, plain, ~aSet0(slbdtsldtrb0(xS,xk)) | aElement0(xQ), inference(resolution, [status(thm)], [c163,c0])). % 24.21/3.72 cnf(d7, plain, aElement0(xQ), inference(resolution, [status(thm)], [c131,d6])). % 24.21/3.72 cnf(d8, plain, sdtmndt0(sdtpldt0(slbdtsldtrb0(xT,xk),xQ),xQ) = slbdtsldtrb0(xT,xk), inference(resolution, [status(thm)], [d7,d5])). % 24.21/3.72 cnf(d9, plain, 'Ts29'(sdtpldt0(slbdtsldtrb0(xT,xk),xQ),xQ,slbdtsldtrb0(xT,xk)) | ~aSet0(sdtpldt0(slbdtsldtrb0(xT,xk),xQ)) | ~aElement0(xQ), inference(superposition, [status(thm)], [d8,d1])). % 24.21/3.72 cnf(d10, plain, ~aSet0(sdtpldt0(slbdtsldtrb0(xT,xk),xQ)) | 'Ts29'(sdtpldt0(slbdtsldtrb0(xT,xk),xQ),xQ,slbdtsldtrb0(xT,xk)), inference(resolution, [status(thm)], [d7,d9])). % 24.21/3.72 cnf(d11, plain, ~aSet0(sdtpldt0(slbdtsldtrb0(xT,xk),xQ)) | ~aElementOf0(xQ,slbdtsldtrb0(xT,xk)), inference(resolution, [status(thm)], [d10,d0])). % 24.21/3.72 cnf(d12, plain, aElementOf0(xQ,slbdtsldtrb0(xT,xk)), inference(resolution, [status(thm)], [c163,c147])). % 24.21/3.72 cnf(d13, plain, ~aSet0(sdtpldt0(slbdtsldtrb0(xT,xk),xQ)), inference(resolution, [status(thm)], [d12,d11])). % 24.21/3.72 cnf(d14, plain, ~aSet0(X0) | ~aElement0(X1) | 'Ts23'(X0,X1,sdtpldt0(X0,X1)), inference(equality_resolution, [status(thm)], [c15])). % 24.21/3.72 cnf(d15, plain, ~aSet0(X0) | ~aElement0(X1) | aSet0(sdtpldt0(X0,X1)), inference(resolution, [status(thm)], [d14,c17])). % 24.21/3.72 cnf(d16, plain, ~aSet0(slbdtsldtrb0(xT,xk)) | ~aElement0(xQ), inference(resolution, [status(thm)], [d15,d13])). % 24.21/3.72 cnf(d17, plain, ~aElement0(xQ), inference(resolution, [status(thm)], [c139,d16])). % 24.21/3.72 cnf(d18, plain, $false, inference(resolution, [status(thm)], [d7,d17])). % 24.21/3.72 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------