%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL678+1.001 : 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 : n008.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 12:29:09 PM UTC 2026 % Result : Theorem 0.09s 0.37s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.36 % Computer : n008.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 23:57:23 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.37 % SZS status Theorem % 0.09/0.37 % SZS output begin IncompleteProof % 0.09/0.37 cnf(c0, axiom, % 0.09/0.37 sP1(X0) | ~r1(sK4,X0)). % 0.09/0.37 cnf(c1, plain, % 0.09/0.37 sP1(X0) | ~r1(sK4,X0), % 0.09/0.37 inference(start, [], [c0])). % 0.09/0.37 % 0.09/0.37 cnf(c2, axiom, % 0.09/0.37 sP0(sK2(X1)) | ~sP1(X1)). % 0.09/0.37 cnf(a0, assumption, % 0.09/0.37 X0 = X1). % 0.09/0.37 cnf(c3, plain, % 0.09/0.37 ~r1(sK4,X0), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.09/0.37 cnf(c4, plain, % 0.09/0.37 sP0(sK2(X1)), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.09/0.37 % 0.09/0.37 cnf(c5, axiom, % 0.09/0.37 r1(X2,sK3(X2)) | ~sP0(X2)). % 0.09/0.37 cnf(a1, assumption, % 0.09/0.37 sK2(X1) = X2). % 0.09/0.37 cnf(c6, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.09/0.37 cnf(c7, plain, % 0.09/0.37 r1(X2,sK3(X2)), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.09/0.37 % 0.09/0.37 cnf(c8, axiom, % 0.09/0.37 p1(X3) | ~r1(sK2(X4),X3) | ~sP1(X4)). % 0.09/0.37 cnf(a2, assumption, % 0.09/0.37 X2 = sK2(X4)). % 0.09/0.37 cnf(a3, assumption, % 0.09/0.37 sK3(X2) = X3). % 0.09/0.37 cnf(c9, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a2, a3])], [c7, c8])). % 0.09/0.37 cnf(c10, plain, % 0.09/0.37 p1(X3) | ~sP1(X4), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a2, a3])], [c7, c8])). % 0.09/0.37 % 0.09/0.37 cnf(c11, axiom, % 0.09/0.37 ~p1(sK3(X5)) | ~sP0(X5)). % 0.09/0.37 cnf(a4, assumption, % 0.09/0.37 X3 = sK3(X5)). % 0.09/0.37 cnf(c12, plain, % 0.09/0.37 ~sP1(X4), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a4])], [c10, c11])). % 0.09/0.37 cnf(c13, plain, % 0.09/0.37 ~sP0(X5), % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a4])], [c10, c11])). % 0.09/0.37 % 0.09/0.37 cnf(c14, plain, % 0.09/0.37 sP0(sK2(X1))). % 0.09/0.37 cnf(a5, assumption, % 0.09/0.37 X5 = sK2(X1)). % 0.09/0.37 cnf(c15, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(predicate_reduction, [assumptions([a5])], [c13, c14])). % 0.09/0.37 % 0.09/0.37 cnf(c16, plain, % 0.09/0.37 sP1(X0)). % 0.09/0.37 cnf(a6, assumption, % 0.09/0.37 X4 = X0). % 0.09/0.37 cnf(c17, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(predicate_reduction, [assumptions([a6])], [c12, c16])). % 0.09/0.37 % 0.09/0.37 cnf(c18, axiom, % 0.09/0.37 r1(X6,X6)). % 0.09/0.37 cnf(a7, assumption, % 0.09/0.37 sK4 = X6). % 0.09/0.37 cnf(a8, assumption, % 0.09/0.37 X0 = X6). % 0.09/0.37 cnf(c19, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a7, a8])], [c3, c18])). % 0.09/0.37 cnf(c20, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(strict_predicate_extension, [assumptions([a7, a8])], [c3, c18])). % 0.09/0.37 % 0.09/0.37 cnf(c21, plain, % 0.09/0.37 $false, % 0.09/0.37 inference(constraint_solving, [ % 0.09/0.37 bind(X0, sK4), % 0.09/0.37 bind(X1, sK4), % 0.09/0.37 bind(X2, sK2(X1)), % 0.09/0.37 bind(X3, sK3(X2)), % 0.09/0.37 bind(X4, sK4), % 0.09/0.37 bind(X5, sK2(X1)), % 0.09/0.37 bind(X6, sK4) % 0.09/0.37 ], % 0.09/0.37 [a0, a1, a2, a3, a4, a5, a6, a7, a8])). % 0.09/0.37 % 0.09/0.37 % SZS output end IncompleteProof %------------------------------------------------------------------------------