%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n026.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 : Mon Sep 7 12:29:12 PM UTC 2026 % Result : Theorem 4.05s 0.90s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.35 % Computer : n026.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Fri Sep 4 18:48:55 UTC 2026 % 0.09/0.35 % CPUTime : % 4.05/0.90 % SZS status Theorem % 4.05/0.90 % SZS output begin IncompleteProof % 4.05/0.90 cnf(c0, axiom, % 4.05/0.90 sP27(X0) | ~r1(sK44,X0)). % 4.05/0.90 cnf(c1, plain, % 4.05/0.90 sP27(X0) | ~r1(sK44,X0), % 4.05/0.90 inference(start, [], [c0])). % 4.05/0.90 % 4.05/0.90 cnf(c2, axiom, % 4.05/0.90 sP24(X1) | ~sP27(X1)). % 4.05/0.90 cnf(a0, assumption, % 4.05/0.90 X0 = X1). % 4.05/0.90 cnf(c3, plain, % 4.05/0.90 ~r1(sK44,X0), % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 4.05/0.90 cnf(c4, plain, % 4.05/0.90 sP24(X1), % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 4.05/0.90 % 4.05/0.90 cnf(c5, axiom, % 4.05/0.90 r1(X2,sK29(X2)) | ~sP24(X2)). % 4.05/0.90 cnf(a1, assumption, % 4.05/0.90 X1 = X2). % 4.05/0.90 cnf(c6, plain, % 4.05/0.90 $false, % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 4.05/0.90 cnf(c7, plain, % 4.05/0.90 r1(X2,sK29(X2)), % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 4.05/0.90 % 4.05/0.90 cnf(c8, axiom, % 4.05/0.90 ~p1(X3) | p2(X3) | ~r1(X4,X3) | ~sP25(X4)). % 4.05/0.90 cnf(a2, assumption, % 4.05/0.90 X2 = X4). % 4.05/0.90 cnf(a3, assumption, % 4.05/0.90 sK29(X2) = X3). % 4.05/0.90 cnf(c9, plain, % 4.05/0.90 $false, % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a2, a3])], [c7, c8])). % 4.05/0.90 cnf(c10, plain, % 4.05/0.90 ~p1(X3) | p2(X3) | ~sP25(X4), % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a2, a3])], [c7, c8])). % 4.05/0.90 % 4.05/0.90 cnf(c11, axiom, % 4.05/0.90 p2(sK29(X5)) | p1(sK29(X5)) | ~sP24(X5)). % 4.05/0.90 cnf(a4, assumption, % 4.05/0.90 X3 = sK29(X5)). % 4.05/0.90 cnf(c12, plain, % 4.05/0.90 p2(X3) | ~sP25(X4), % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a4])], [c10, c11])). % 4.05/0.90 cnf(c13, plain, % 4.05/0.90 p2(sK29(X5)) | ~sP24(X5), % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a4])], [c10, c11])). % 4.05/0.90 % 4.05/0.90 cnf(c14, axiom, % 4.05/0.90 p1(X6) | ~p2(X6) | ~r1(X7,X6) | ~sP25(X7)). % 4.05/0.90 cnf(a5, assumption, % 4.05/0.90 sK29(X5) = X6). % 4.05/0.90 cnf(c15, plain, % 4.05/0.90 ~sP24(X5), % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a5])], [c13, c14])). % 4.05/0.90 cnf(c16, plain, % 4.05/0.90 p1(X6) | ~r1(X7,X6) | ~sP25(X7), % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a5])], [c13, c14])). % 4.05/0.90 % 4.05/0.90 cnf(c17, plain, % 4.05/0.90 ~p1(X3)). % 4.05/0.90 cnf(a6, assumption, % 4.05/0.90 X6 = X3). % 4.05/0.90 cnf(c18, plain, % 4.05/0.90 ~r1(X7,X6) | ~sP25(X7), % 4.05/0.90 inference(predicate_reduction, [assumptions([a6])], [c16, c17])). % 4.05/0.90 % 4.05/0.90 cnf(c19, plain, % 4.05/0.90 r1(X2,sK29(X2))). % 4.05/0.90 cnf(a7, assumption, % 4.05/0.90 X7 = X2). % 4.05/0.90 cnf(a8, assumption, % 4.05/0.90 X6 = sK29(X2)). % 4.05/0.90 cnf(c20, plain, % 4.05/0.90 ~sP25(X7), % 4.05/0.90 inference(predicate_reduction, [assumptions([a7, a8])], [c18, c19])). % 4.05/0.90 % 4.05/0.90 cnf(c21, axiom, % 4.05/0.90 sP25(X8) | ~sP27(X8)). % 4.05/0.90 cnf(a9, assumption, % 4.05/0.90 X7 = X8). % 4.05/0.90 cnf(c22, plain, % 4.05/0.90 $false, % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a9])], [c20, c21])). % 4.05/0.90 cnf(c23, plain, % 4.05/0.90 ~sP27(X8), % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a9])], [c20, c21])). % 4.05/0.90 % 4.05/0.90 cnf(c24, plain, % 4.05/0.90 sP27(X0)). % 4.05/0.90 cnf(a10, assumption, % 4.05/0.90 X8 = X0). % 4.05/0.90 cnf(c25, plain, % 4.05/0.90 $false, % 4.05/0.90 inference(predicate_reduction, [assumptions([a10])], [c23, c24])). % 4.05/0.90 % 4.05/0.90 cnf(c26, plain, % 4.05/0.90 sP24(X1)). % 4.05/0.90 cnf(a11, assumption, % 4.05/0.90 X5 = X1). % 4.05/0.90 cnf(c27, plain, % 4.05/0.90 $false, % 4.05/0.90 inference(predicate_reduction, [assumptions([a11])], [c15, c26])). % 4.05/0.90 % 4.05/0.90 cnf(c28, axiom, % 4.05/0.90 ~p1(sK29(X9)) | ~p2(sK29(X9)) | ~sP24(X9)). % 4.05/0.90 cnf(a12, assumption, % 4.05/0.90 X3 = sK29(X9)). % 4.05/0.90 cnf(c29, plain, % 4.05/0.90 ~sP25(X4), % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a12])], [c12, c28])). % 4.05/0.90 cnf(c30, plain, % 4.05/0.90 ~p1(sK29(X9)) | ~sP24(X9), % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a12])], [c12, c28])). % 4.05/0.90 % 4.05/0.90 cnf(c31, plain, % 4.05/0.90 p1(X3)). % 4.05/0.90 cnf(a13, assumption, % 4.05/0.90 sK29(X9) = X3). % 4.05/0.90 cnf(c32, plain, % 4.05/0.90 ~sP24(X9), % 4.05/0.90 inference(predicate_reduction, [assumptions([a13])], [c30, c31])). % 4.05/0.90 % 4.05/0.90 cnf(c33, plain, % 4.05/0.90 sP24(X1)). % 4.05/0.90 cnf(a14, assumption, % 4.05/0.90 X9 = X1). % 4.05/0.90 cnf(c34, plain, % 4.05/0.90 $false, % 4.05/0.90 inference(predicate_reduction, [assumptions([a14])], [c32, c33])). % 4.05/0.90 % 4.05/0.90 cnf(c35, plain, % 4.05/0.90 sP25(X7)). % 4.05/0.90 cnf(a15, assumption, % 4.05/0.90 X4 = X7). % 4.05/0.90 cnf(c36, plain, % 4.05/0.90 $false, % 4.05/0.90 inference(predicate_reduction, [assumptions([a15])], [c29, c35])). % 4.05/0.90 % 4.05/0.90 cnf(c37, axiom, % 4.05/0.90 r1(X10,X10)). % 4.05/0.90 cnf(a16, assumption, % 4.05/0.90 sK44 = X10). % 4.05/0.90 cnf(a17, assumption, % 4.05/0.90 X0 = X10). % 4.05/0.90 cnf(c38, plain, % 4.05/0.90 $false, % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a16, a17])], [c3, c37])). % 4.05/0.90 cnf(c39, plain, % 4.05/0.90 $false, % 4.05/0.90 inference(strict_predicate_extension, [assumptions([a16, a17])], [c3, c37])). % 4.05/0.90 % 4.05/0.90 cnf(c40, plain, % 4.05/0.90 $false, % 4.05/0.90 inference(constraint_solving, [ % 4.05/0.90 bind(X0, sK44), % 4.05/0.90 bind(X1, sK44), % 4.05/0.90 bind(X2, sK44), % 4.05/0.90 bind(X3, sK29(X2)), % 4.05/0.90 bind(X4, sK44), % 4.05/0.90 bind(X5, sK44), % 4.05/0.90 bind(X6, sK29(X5)), % 4.05/0.90 bind(X7, sK44), % 4.05/0.90 bind(X8, sK44), % 4.05/0.90 bind(X9, sK44), % 4.05/0.90 bind(X10, sK44) % 4.05/0.90 ], % 4.05/0.90 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17])). % 4.05/0.90 % 4.05/0.90 % SZS output end IncompleteProof %------------------------------------------------------------------------------