%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : KRS264+1 : TPTP v9.3.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n007.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 07:45:26 AM UTC 2026 % Result : Theorem 171.50s 34.75s % Output : CNFRefutation 171.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : KRS264+1 : TPTP v9.3.1. Bugfixed v5.4.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.10/0.53 % Computer : n007.cluster.edu % 0.10/0.53 % Model : x86_64 x86_64 % 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.53 % Memory : 8046.5625MB % 0.10/0.53 % OS : Linux 6.8.0-71-generic % 0.10/0.53 % CPULimit : 300 % 0.10/0.53 % WCLimit : 300 % 0.10/0.53 % DateTime : Fri Sep 25 19:48:38 UTC 2026 % 0.10/0.53 % CPUTime : % 0.10/0.53 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 171.50/34.75 % SZS status Theorem for theBenchmark.p % 171.50/34.75 % SZS output start CNFRefutation for theBenchmark.p % 171.50/34.75 fof(thm, axiom, ! [X0] : ! [X1] : ((! [X2] : ((model(X2,X0) => model(X2,X1))) <=> status(X0,X1,thm)))). % 171.50/34.75 fof(wth, axiom, ! [X0] : ! [X1] : (((? [X2] : model(X2,X0) & (! [X3] : ((model(X3,X0) => model(X3,X1))) & (? [X4] : ((model(X4,X1) & ~model(X4,X0))) & ? [X5] : ~model(X5,X1)))) <=> status(X0,X1,wth)))). % 171.50/34.75 fof(mighta, axiom, ! [X0] : ! [X1] : ((? [X2] : ? [X3] : ((status(X2,X3,X0) & status(X2,X3,X1))) <=> mighta(X0,X1)))). % 171.50/34.75 fof(mixed_pair, axiom, ? [X0] : ? [X1] : ((? [X2] : model(X2,X0) & (! [X3] : ((model(X3,X0) => model(X3,X1))) & (? [X4] : ((~model(X4,X0) & model(X4,X1))) & ? [X5] : ~model(X5,X1)))))). % 171.50/34.75 fof(mighta_wth_thm, conjecture, mighta(wth,thm)). % 171.50/34.75 fof(negated_conjecture, negated_conjecture, ~mighta(wth,thm), inference(negate_conjecture, [status(cth)], [mighta_wth_thm])). % 171.50/34.75 cnf(c15, plain, model(sK28(X0,X1),X0) | status(X0,X1,thm), inference(clausification, [status(esa)], [thm])). % 171.50/34.75 cnf(c16, plain, ~model(sK28(X0,X1),X1) | status(X0,X1,thm), inference(clausification, [status(esa)], [thm])). % 171.50/34.75 cnf(c55, plain, ~X0(X1,X2) | status(X1,X2,wth), inference(clausification, [status(esa)], [wth])). % 171.50/34.75 cnf(c62, plain, model(sK81(X0,X1),X0) | X2(X0,X1) | model(X3,X0) | model(X4,X1) | ~model(X3,X1) | ~model(X5,X0), inference(clausification, [status(esa)], [wth])). % 171.50/34.75 cnf(c63, plain, ~model(sK81(X0,X1),X1) | X2(X0,X1) | model(X3,X0) | model(X4,X1) | ~model(X3,X1) | ~model(X5,X0), inference(clausification, [status(esa)], [wth])). % 171.50/34.75 cnf(c89, plain, ~status(X0,X1,X2) | ~status(X0,X1,X3) | mighta(X2,X3), inference(clausification, [status(esa)], [mighta])). % 171.50/34.75 cnf(c120, plain, model(sK172,sK170), inference(clausification, [status(esa)], [mixed_pair])). % 171.50/34.75 cnf(c121, plain, ~model(X0,sK170) | model(X0,sK171), inference(clausification, [status(esa)], [mixed_pair])). % 171.50/34.75 cnf(c122, plain, ~model(sK174,sK170), inference(clausification, [status(esa)], [mixed_pair])). % 171.50/34.75 cnf(c123, plain, model(sK174,sK171), inference(clausification, [status(esa)], [mixed_pair])). % 171.50/34.75 cnf(c124, plain, ~model(sK175,sK171), inference(clausification, [status(esa)], [mixed_pair])). % 171.50/34.75 cnf(c128, plain, ~mighta(wth,thm), inference(clausification, [status(esa)], [negated_conjecture])). % 171.50/34.75 cnf(d0, plain, model(X0,X1) | ~model(X2,sK170) | model(X3,sK170) | ~model(X3,X1) | 'Ts73'(sK170,X1) | model(sK81(sK170,X1),sK171), inference(resolution, [status(thm)], [c62,c121])). % 171.50/34.75 cnf(d1, plain, ~model(X0,sK171) | model(X0,sK170) | ~model(X1,sK170) | model(X2,sK171) | 'Ts73'(sK170,sK171) | model(X3,sK171) | ~model(X4,sK170) | ~model(X5,sK171) | model(X5,sK170) | 'Ts73'(sK170,sK171), inference(resolution, [status(thm)], [d0,c63])). % 171.50/34.75 cnf(d2, plain, status(sK170,X0,thm) | model(sK28(sK170,X0),sK171), inference(resolution, [status(thm)], [c15,c121])). % 171.50/34.75 cnf(d3, plain, status(sK170,sK171,thm) | status(sK170,sK171,thm), inference(resolution, [status(thm)], [d2,c16])). % 171.50/34.75 cnf(d4, plain, ~status(sK170,sK171,X0) | mighta(X0,thm), inference(resolution, [status(thm)], [c89,d3])). % 171.50/34.75 cnf(d5, plain, mighta(wth,thm) | ~'Ts73'(sK170,sK171), inference(resolution, [status(thm)], [d4,c55])). % 171.50/34.75 cnf(d6, plain, ~'Ts73'(sK170,sK171), inference(resolution, [status(thm)], [c128,d5])). % 171.50/34.75 cnf(d7, plain, model(X0,sK170) | ~model(X0,sK171) | ~model(X1,sK170) | model(X2,sK171) | model(X3,sK171) | ~model(X4,sK170) | model(X5,sK170) | ~model(X5,sK171), inference(resolution, [status(thm)], [d6,d1])). % 171.50/34.75 cnf(d8, plain, model(X0,sK170) | ~model(X0,sK171) | ~model(X1,sK170) | model(X2,sK171) | model(X3,sK171) | ~model(X4,sK170) | model(sK174,sK170), inference(resolution, [status(thm)], [d7,c123])). % 171.50/34.75 cnf(d9, plain, ~model(X0,sK170) | model(X1,sK171) | model(X2,sK171) | ~model(X3,sK170) | model(X4,sK170) | ~model(X4,sK171), inference(resolution, [status(thm)], [c122,d8])). % 171.50/34.75 cnf(d10, plain, model(X0,sK170) | ~model(X0,sK171) | ~model(X1,sK170) | model(X2,sK171) | model(X3,sK171), inference(resolution, [status(thm)], [d9,c120])). % 171.50/34.75 cnf(d11, plain, model(X0,sK171) | model(X1,sK171) | ~model(X2,sK170) | model(sK174,sK170), inference(resolution, [status(thm)], [d10,c123])). % 171.50/34.75 cnf(d12, plain, ~model(X0,sK170) | model(X1,sK171) | model(X2,sK171), inference(resolution, [status(thm)], [c122,d11])). % 171.50/34.75 cnf(d13, plain, model(X0,sK171) | model(X1,sK171), inference(resolution, [status(thm)], [d12,c120])). % 171.50/34.75 cnf(d14, plain, model(X0,sK171), inference(resolution, [status(thm)], [d13,c124])). % 171.50/34.75 cnf(d15, plain, $false, inference(resolution, [status(thm)], [d14,c124])). % 171.50/34.75 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------