%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : NUM557+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 : n018.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 08:13:08 AM UTC 2026 % Result : Theorem 35.02s 10.08s % Output : CNFRefutation 35.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM557+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 % 0.11/5.58 % Computer : n018.cluster.edu % 0.11/5.58 % Model : x86_64 x86_64 % 0.11/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/5.58 % Memory : 8046.5625MB % 0.11/5.58 % OS : Linux 6.8.0-71-generic % 0.11/5.58 % CPULimit : 300 % 0.11/5.58 % WCLimit : 300 % 0.11/5.58 % DateTime : Sat Sep 26 03:15:43 UTC 2026 % 0.11/5.58 % CPUTime : % 0.11/5.58 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 35.02/10.08 % SZS status Theorem for theBenchmark.p % 35.02/10.08 % SZS output start CNFRefutation for theBenchmark.p % 35.02/10.08 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))))))))). % 35.02/10.08 fof(m__2202, hypothesis, aElementOf0(xk,szNzAzT0)). % 35.02/10.08 fof(m__2202_02, hypothesis, (aSet0(xS) & (aSet0(xT) & xk != sz00))). % 35.02/10.08 fof(m__2431, hypothesis, (aSubsetOf0(xP,xS) & sbrdtbr0(xP) = xk)). % 35.02/10.08 fof(m__, conjecture, aElementOf0(xP,slbdtsldtrb0(xS,xk))). % 35.02/10.08 fof(negated_conjecture, negated_conjecture, ~aElementOf0(xP,slbdtsldtrb0(xS,xk)), inference(negate_conjecture, [status(cth)], [m__])). % 35.02/10.08 cnf(c112, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | X2 != slbdtsldtrb0(X0,X1) | X3(X0,X1,X2), inference(clausification, [status(esa)], [mDefSel])). % 35.02/10.08 cnf(c117, plain, ~X0(X1,X2,X3) | aElementOf0(X4,X3) | ~aSubsetOf0(X4,X1) | sbrdtbr0(X4) != X2, inference(clausification, [status(esa)], [mDefSel])). % 35.02/10.08 cnf(c127, plain, aElementOf0(xk,szNzAzT0), inference(clausification, [status(esa)], [m__2202])). % 35.02/10.08 cnf(c128, plain, aSet0(xS), inference(clausification, [status(esa)], [m__2202_02])). % 35.02/10.08 cnf(c145, plain, aSubsetOf0(xP,xS), inference(clausification, [status(esa)], [m__2431])). % 35.02/10.08 cnf(c146, plain, sbrdtbr0(xP) = xk, inference(clausification, [status(esa)], [m__2431])). % 35.02/10.08 cnf(c147, plain, ~aElementOf0(xP,slbdtsldtrb0(xS,xk)), inference(clausification, [status(esa)], [negated_conjecture])). % 35.02/10.08 cnf(d0, plain, ~aSet0(X0) | ~aElementOf0(X1,szNzAzT0) | 'Ts106'(X0,X1,slbdtsldtrb0(X0,X1)), inference(equality_resolution, [status(thm)], [c112])). % 35.02/10.08 cnf(d1, plain, aElementOf0(X0,X1) | ~aSubsetOf0(X0,X2) | ~'Ts106'(X2,sbrdtbr0(X0),X1), inference(equality_resolution, [status(thm)], [c117])). % 35.02/10.08 cnf(d2, plain, ~'Ts106'(X0,xk,X1) | aElementOf0(xP,X1) | ~aSubsetOf0(xP,X0), inference(superposition, [status(thm)], [c146,d1])). % 35.02/10.08 cnf(d3, plain, aElementOf0(xP,slbdtsldtrb0(X0,xk)) | ~aSubsetOf0(xP,X0) | ~aSet0(X0) | ~aElementOf0(xk,szNzAzT0), inference(resolution, [status(thm)], [d2,d0])). % 35.02/10.08 cnf(d4, plain, ~aSet0(X0) | aElementOf0(xP,slbdtsldtrb0(X0,xk)) | ~aSubsetOf0(xP,X0), inference(resolution, [status(thm)], [c127,d3])). % 35.02/10.08 cnf(d5, plain, ~aSet0(xS) | ~aSubsetOf0(xP,xS), inference(resolution, [status(thm)], [d4,c147])). % 35.02/10.08 cnf(d6, plain, ~aSubsetOf0(xP,xS), inference(resolution, [status(thm)], [c128,d5])). % 35.02/10.08 cnf(d7, plain, $false, inference(resolution, [status(thm)], [c145,d6])). % 35.02/10.08 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------