%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : LCL656+1.001 : 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 : 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 07:55:03 AM UTC 2026 % Result : Theorem 8.51s 1.61s % Output : CNFRefutation 8.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL656+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 0.07/0.34 % Computer : n007.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Fri Sep 25 22:59:38 UTC 2026 % 0.07/0.35 % CPUTime : % 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p % 8.51/1.61 % SZS status Theorem for theBenchmark.p % 8.51/1.61 % SZS output start CNFRefutation for theBenchmark.p % 8.51/1.61 fof(reflexivity, axiom, ! [X0] : r1(X0,X0)). % 8.51/1.61 fof(main, conjecture, ~? [X0] : ~((~! [X1] : ((~r1(X0,X1) | p2(X1))) | ~((! [X1] : ((~r1(X0,X1) | (((~! [X0] : ((~r1(X1,X0) | ~((~p2(X0) & (~p102(X0) & p101(X0)))))) & ~! [X0] : ((~r1(X1,X0) | ~((p2(X0) & (~p102(X0) & p101(X0))))))) | ~((~p101(X1) & p100(X1)))) & ((((! [X0] : ((~r1(X1,X0) | (~p2(X0) | ~p101(X0)))) | p2(X1)) & (! [X0] : ((~r1(X1,X0) | (p2(X0) | ~p101(X0)))) | ~p2(X1))) | ~p101(X1)) & ((((! [X0] : ((~r1(X1,X0) | (~p1(X0) | ~p100(X0)))) | p1(X1)) & (! [X0] : ((~r1(X1,X0) | (p1(X0) | ~p100(X0)))) | ~p1(X1))) | ~p100(X1)) & ((p101(X1) | ~p102(X1)) & (p100(X1) | ~p101(X1)))))))) & (~p101(X0) & p100(X0))))))). % 8.51/1.61 fof(negated_conjecture, negated_conjecture, ~~? [X0] : ~((~! [X1] : ((~r1(X0,X1) | p2(X1))) | ~((! [X1] : ((~r1(X0,X1) | (((~! [X0] : ((~r1(X1,X0) | ~((~p2(X0) & (~p102(X0) & p101(X0)))))) & ~! [X0] : ((~r1(X1,X0) | ~((p2(X0) & (~p102(X0) & p101(X0))))))) | ~((~p101(X1) & p100(X1)))) & ((((! [X0] : ((~r1(X1,X0) | (~p2(X0) | ~p101(X0)))) | p2(X1)) & (! [X0] : ((~r1(X1,X0) | (p2(X0) | ~p101(X0)))) | ~p2(X1))) | ~p101(X1)) & ((((! [X0] : ((~r1(X1,X0) | (~p1(X0) | ~p100(X0)))) | p1(X1)) & (! [X0] : ((~r1(X1,X0) | (p1(X0) | ~p100(X0)))) | ~p1(X1))) | ~p100(X1)) & ((p101(X1) | ~p102(X1)) & (p100(X1) | ~p101(X1)))))))) & (~p101(X0) & p100(X0)))))), inference(negate_conjecture, [status(cth)], [main])). % 8.51/1.61 cnf(c0, plain, r1(X0,X0), inference(clausification, [status(esa)], [reflexivity])). % 8.51/1.61 cnf(c1, plain, ~r1(sK3,X0) | p2(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 8.51/1.61 cnf(c2, plain, ~r1(sK3,X0) | X1(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 8.51/1.61 cnf(c3, plain, ~p101(sK3), inference(clausification, [status(esa)], [negated_conjecture])). % 8.51/1.61 cnf(c4, plain, p100(sK3), inference(clausification, [status(esa)], [negated_conjecture])). % 8.51/1.61 cnf(c5, plain, ~X0(X1) | r1(X1,sK6(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 8.51/1.61 cnf(c6, plain, ~X0(X1) | ~p2(sK6(X1)), inference(clausification, [status(esa)], [negated_conjecture])). % 8.51/1.61 cnf(c13, plain, ~X0(X1) | X2(X1) | p101(X1) | ~p100(X1), inference(clausification, [status(esa)], [negated_conjecture])). % 8.51/1.61 cnf(d0, plain, ~'Ts2'(sK3) | p101(sK3) | 'Ts1'(sK3), inference(resolution, [status(thm)], [c13,c4])). % 8.51/1.61 cnf(d1, plain, ~'Ts2'(sK3) | 'Ts1'(sK3), inference(resolution, [status(thm)], [c3,d0])). % 8.51/1.61 cnf(d2, plain, 'Ts2'(sK3), inference(resolution, [status(thm)], [c2,c0])). % 8.51/1.61 cnf(d3, plain, 'Ts1'(sK3), inference(resolution, [status(thm)], [d2,d1])). % 8.51/1.61 cnf(d4, plain, ~'Ts1'(sK3) | p2(sK6(sK3)), inference(resolution, [status(thm)], [c5,c1])). % 8.51/1.61 cnf(d5, plain, ~'Ts1'(sK3) | ~'Ts1'(sK3), inference(resolution, [status(thm)], [d4,c6])). % 8.51/1.61 cnf(d6, plain, $false, inference(resolution, [status(thm)], [d5,d3])). % 8.51/1.61 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------