%------------------------------------------------------------------------------ % File : LisaST---0.9 % Problem : LCL688+1.001 : 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 : n010.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 07:55:15 AM UTC 2026 % Result : Theorem 39.61s 15.98s % Output : CNFRefutation 39.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL688+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.09/10.38 % Computer : n010.cluster.edu % 0.09/10.38 % Model : x86_64 x86_64 % 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/10.38 % Memory : 8046.5625MB % 0.09/10.38 % OS : Linux 6.8.0-71-generic % 0.09/10.38 % CPULimit : 300 % 0.09/10.38 % WCLimit : 300 % 0.09/10.38 % DateTime : Fri Sep 25 23:24:59 UTC 2026 % 0.09/10.38 % CPUTime : % 0.09/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 39.61/15.98 % SZS status Theorem for theBenchmark.p % 39.61/15.98 % SZS output start CNFRefutation for theBenchmark.p % 39.61/15.98 fof(reflexivity, axiom, ! [X0] : r1(X0,X0)). % 39.61/15.98 fof(transitivity, axiom, ! [X0] : ! [X1] : ! [X2] : (((r1(X0,X1) & r1(X1,X2)) => r1(X0,X2)))). % 39.61/15.98 fof(main, conjecture, ~? [X0] : ~((~! [X1] : ((~r1(X0,X1) | ~p4(X1))) | (~! [X1] : ((~r1(X0,X1) | ~((~! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | (! [X0] : ((~r1(X1,X0) | p3(X0))) | ~p2(X1)))))) | ~! [X0] : ((~r1(X1,X0) | ~((~! [X1] : ((~r1(X0,X1) | ~((! [X0] : ((~r1(X1,X0) | p3(X0))) | ~p2(X1))))) & (p2(X0) & ~! [X1] : ((~r1(X0,X1) | ~! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | ~p2(X1)))))))))))))))) | ((~p1(X0) & (~! [X1] : ((~r1(X0,X1) | ~! [X0] : ((~r1(X1,X0) | p1(X0))))) & ! [X1] : ((~r1(X0,X1) | (p1(X1) | ~! [X0] : ((~r1(X1,X0) | ~((~! [X1] : ((~r1(X0,X1) | p1(X1))) & p1(X0)))))))))) | (! [X1] : ((~r1(X0,X1) | (! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | p1(X1))))) | ! [X0] : ((~r1(X1,X0) | p1(X0)))))) | (! [X1] : ((~r1(X0,X1) | ~! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | p2(X1))))))) | ~! [X1] : ((~r1(X0,X1) | (! [X0] : ((~r1(X1,X0) | ! [X1] : ((~r1(X0,X1) | ~p1(X1))))) | ~! [X0] : ((~r1(X1,X0) | ~p1(X0))))))))))))). % 39.61/15.98 fof(negated_conjecture, negated_conjecture, ~~? [X0] : ~((~! [X1] : ((~r1(X0,X1) | ~p4(X1))) | (~! [X1] : ((~r1(X0,X1) | ~((~! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | (! [X0] : ((~r1(X1,X0) | p3(X0))) | ~p2(X1)))))) | ~! [X0] : ((~r1(X1,X0) | ~((~! [X1] : ((~r1(X0,X1) | ~((! [X0] : ((~r1(X1,X0) | p3(X0))) | ~p2(X1))))) & (p2(X0) & ~! [X1] : ((~r1(X0,X1) | ~! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | ~p2(X1)))))))))))))))) | ((~p1(X0) & (~! [X1] : ((~r1(X0,X1) | ~! [X0] : ((~r1(X1,X0) | p1(X0))))) & ! [X1] : ((~r1(X0,X1) | (p1(X1) | ~! [X0] : ((~r1(X1,X0) | ~((~! [X1] : ((~r1(X0,X1) | p1(X1))) & p1(X0)))))))))) | (! [X1] : ((~r1(X0,X1) | (! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | p1(X1))))) | ! [X0] : ((~r1(X1,X0) | p1(X0)))))) | (! [X1] : ((~r1(X0,X1) | ~! [X0] : ((~r1(X1,X0) | ~! [X1] : ((~r1(X0,X1) | p2(X1))))))) | ~! [X1] : ((~r1(X0,X1) | (! [X0] : ((~r1(X1,X0) | ! [X1] : ((~r1(X0,X1) | ~p1(X1))))) | ~! [X0] : ((~r1(X1,X0) | ~p1(X0)))))))))))), inference(negate_conjecture, [status(cth)], [main])). % 39.61/15.98 cnf(c0, plain, r1(X0,X0), inference(clausification, [status(esa)], [reflexivity])). % 39.61/15.98 cnf(c1, plain, ~r1(X0,X1) | ~r1(X2,X0) | r1(X2,X1), inference(clausification, [status(esa)], [transitivity])). % 39.61/15.98 cnf(c5, plain, r1(sK7,sK11), inference(clausification, [status(esa)], [negated_conjecture])). % 39.61/15.98 cnf(c6, plain, ~r1(sK11,X0) | r1(X0,sK13(X0)), inference(clausification, [status(esa)], [negated_conjecture])). % 39.61/15.98 cnf(c7, plain, ~r1(sK11,X0) | ~p2(sK13(X0)), inference(clausification, [status(esa)], [negated_conjecture])). % 39.61/15.98 cnf(c15, plain, ~r1(sK7,X0) | X1(X0), inference(clausification, [status(esa)], [negated_conjecture])). % 39.61/15.98 cnf(c21, plain, ~X0(X1) | ~r1(X1,X2) | p2(X2), inference(clausification, [status(esa)], [negated_conjecture])). % 39.61/15.98 cnf(c22, plain, ~X0(X1) | ~r1(X1,X2) | r1(X2,sK29(X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 39.61/15.98 cnf(c23, plain, ~X0(X1) | ~r1(X1,X2) | p2(sK29(X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 39.61/15.98 cnf(c24, plain, ~X0(X1) | ~r1(X1,X2) | r1(sK29(X2),sK30(X2)), inference(clausification, [status(esa)], [negated_conjecture])). % 39.61/15.98 cnf(c26, plain, ~r1(X0,X1) | X2(X0) | ~r1(X3,X0) | r1(X1,sK33(X1)) | ~p2(X0) | ~X4(X3), inference(clausification, [status(esa)], [negated_conjecture])). % 39.61/15.98 cnf(c27, plain, ~r1(X0,X1) | ~p2(X2) | ~r1(X3,X0) | X4(X0) | ~r1(sK33(X1),X2) | ~p2(X0) | ~X5(X3), inference(clausification, [status(esa)], [negated_conjecture])). % 39.61/15.98 cnf(d0, plain, r1(sK29(sK11),sK30(sK11)) | ~'Ts6'(sK7), inference(resolution, [status(thm)], [c24,c5])). % 39.61/15.98 cnf(d1, plain, 'Ts6'(sK7), inference(resolution, [status(thm)], [c15,c0])). % 39.61/15.98 cnf(d2, plain, r1(sK29(sK11),sK30(sK11)), inference(resolution, [status(thm)], [d1,d0])). % 39.61/15.98 cnf(d3, plain, ~r1(X0,X1) | ~r1(sK33(X1),X2) | ~p2(X2) | ~p2(X0) | ~'Ts6'(X0) | 'Ts5'(X0), inference(resolution, [status(thm)], [c27,c0])). % 39.61/15.98 cnf(d4, plain, ~r1(sK33(sK30(sK11)),X0) | ~p2(X0) | ~p2(sK29(sK11)) | ~'Ts6'(sK29(sK11)) | 'Ts5'(sK29(sK11)), inference(resolution, [status(thm)], [d3,d2])). % 39.61/15.98 cnf(d5, plain, 'Ts6'(sK11), inference(resolution, [status(thm)], [c15,c5])). % 39.61/15.98 cnf(d6, plain, p2(sK29(X0)) | ~'Ts6'(X0), inference(resolution, [status(thm)], [c23,c0])). % 39.61/15.98 cnf(d7, plain, p2(sK29(sK11)), inference(resolution, [status(thm)], [d6,d5])). % 39.61/15.98 cnf(d8, plain, ~r1(sK33(sK30(sK11)),X0) | ~p2(X0) | ~'Ts6'(sK29(sK11)) | 'Ts5'(sK29(sK11)), inference(resolution, [status(thm)], [d7,d4])). % 39.61/15.98 cnf(d9, plain, r1(sK11,sK29(sK11)) | ~'Ts6'(sK7), inference(resolution, [status(thm)], [c22,c5])). % 39.61/15.98 cnf(d10, plain, r1(sK11,sK29(sK11)), inference(resolution, [status(thm)], [d1,d9])). % 39.61/15.98 cnf(d11, plain, r1(X0,sK29(sK11)) | ~r1(X0,sK11), inference(resolution, [status(thm)], [d10,c1])). % 39.61/15.98 cnf(d12, plain, r1(sK7,sK29(sK11)), inference(resolution, [status(thm)], [d11,c5])). % 39.61/15.98 cnf(d13, plain, 'Ts6'(sK29(sK11)), inference(resolution, [status(thm)], [d12,c15])). % 39.61/15.98 cnf(d14, plain, ~r1(sK33(sK30(sK11)),X0) | ~p2(X0) | 'Ts5'(sK29(sK11)), inference(resolution, [status(thm)], [d13,d8])). % 39.61/15.98 cnf(d15, plain, r1(sK29(sK11),sK13(sK29(sK11))), inference(resolution, [status(thm)], [d10,c6])). % 39.61/15.98 cnf(d16, plain, p2(sK13(sK29(sK11))) | ~'Ts5'(sK29(sK11)), inference(resolution, [status(thm)], [d15,c21])). % 39.61/15.98 cnf(d17, plain, ~p2(sK13(sK29(sK11))), inference(resolution, [status(thm)], [d10,c7])). % 39.61/15.98 cnf(d18, plain, ~'Ts5'(sK29(sK11)), inference(resolution, [status(thm)], [d17,d16])). % 39.61/15.98 cnf(d19, plain, ~r1(sK33(sK30(sK11)),X0) | ~p2(X0), inference(resolution, [status(thm)], [d18,d14])). % 39.61/15.98 cnf(d20, plain, r1(X0,sK33(X0)) | ~r1(X1,X0) | ~p2(X1) | ~'Ts6'(X1) | 'Ts5'(X1), inference(resolution, [status(thm)], [c26,c0])). % 39.61/15.98 cnf(d21, plain, r1(sK30(sK11),sK33(sK30(sK11))) | ~p2(sK29(sK11)) | ~'Ts6'(sK29(sK11)) | 'Ts5'(sK29(sK11)), inference(resolution, [status(thm)], [d20,d2])). % 39.61/15.98 cnf(d22, plain, r1(sK30(sK11),sK33(sK30(sK11))) | ~'Ts6'(sK29(sK11)) | 'Ts5'(sK29(sK11)), inference(resolution, [status(thm)], [d7,d21])). % 39.61/15.98 cnf(d23, plain, r1(sK30(sK11),sK33(sK30(sK11))) | 'Ts5'(sK29(sK11)), inference(resolution, [status(thm)], [d13,d22])). % 39.61/15.98 cnf(d24, plain, 'Ts5'(sK29(sK11)) | r1(sK33(sK30(sK11)),sK29(sK33(sK30(sK11)))) | ~'Ts6'(sK30(sK11)), inference(resolution, [status(thm)], [d23,c22])). % 39.61/15.98 cnf(d25, plain, r1(X0,sK30(sK11)) | ~r1(X0,sK29(sK11)), inference(resolution, [status(thm)], [d2,c1])). % 39.61/15.98 cnf(d26, plain, r1(sK7,sK30(sK11)), inference(resolution, [status(thm)], [d25,d12])). % 39.61/15.98 cnf(d27, plain, 'Ts6'(sK30(sK11)), inference(resolution, [status(thm)], [d26,c15])). % 39.61/15.98 cnf(d28, plain, r1(sK33(sK30(sK11)),sK29(sK33(sK30(sK11)))) | 'Ts5'(sK29(sK11)), inference(resolution, [status(thm)], [d27,d24])). % 39.61/15.98 cnf(d29, plain, r1(sK33(sK30(sK11)),sK29(sK33(sK30(sK11)))), inference(resolution, [status(thm)], [d18,d28])). % 39.61/15.98 cnf(d30, plain, ~p2(sK29(sK33(sK30(sK11)))), inference(resolution, [status(thm)], [d29,d19])). % 39.61/15.98 cnf(d31, plain, r1(sK30(sK11),sK33(sK30(sK11))), inference(resolution, [status(thm)], [d18,d23])). % 39.61/15.98 cnf(d32, plain, p2(sK29(sK33(sK30(sK11)))) | ~'Ts6'(sK30(sK11)), inference(resolution, [status(thm)], [d31,c23])). % 39.61/15.98 cnf(d33, plain, p2(sK29(sK33(sK30(sK11)))), inference(resolution, [status(thm)], [d27,d32])). % 39.61/15.98 cnf(d34, plain, $false, inference(resolution, [status(thm)], [d33,d30])). % 39.61/15.98 % SZS output end CNFRefutation for theBenchmark.p %------------------------------------------------------------------------------