%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL638+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 : n002.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 12:28:56 PM UTC 2026 % Result : Theorem 19.45s 3.01s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL638+1.001 : 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 % 0.09/0.34 % Computer : n002.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Fri Sep 4 19:40:20 UTC 2026 % 0.09/0.35 % CPUTime : % 19.45/3.01 % SZS status Theorem % 19.45/3.01 % SZS output begin IncompleteProof % 19.45/3.01 cnf(c0, axiom, % 19.45/3.01 r1(sK2,sK3)). % 19.45/3.01 cnf(c1, plain, % 19.45/3.01 r1(sK2,sK3), % 19.45/3.01 inference(start, [], [c0])). % 19.45/3.01 % 19.45/3.01 cnf(c2, axiom, % 19.45/3.01 p1(X0) | ~p1(sK8(X1)) | ~r1(X0,X1) | ~r1(sK2,X0)). % 19.45/3.01 cnf(a0, assumption, % 19.45/3.01 sK2 = sK2). % 19.45/3.01 cnf(a1, assumption, % 19.45/3.01 sK3 = X0). % 19.45/3.01 cnf(c3, plain, % 19.45/3.01 $false, % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 19.45/3.01 cnf(c4, plain, % 19.45/3.01 p1(X0) | ~p1(sK8(X1)) | ~r1(X0,X1), % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 19.45/3.01 % 19.45/3.01 cnf(c5, axiom, % 19.45/3.01 ~p1(sK3)). % 19.45/3.01 cnf(a2, assumption, % 19.45/3.01 X0 = sK3). % 19.45/3.01 cnf(c6, plain, % 19.45/3.01 ~p1(sK8(X1)) | ~r1(X0,X1), % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a2])], [c4, c5])). % 19.45/3.01 cnf(c7, plain, % 19.45/3.01 $false, % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a2])], [c4, c5])). % 19.45/3.01 % 19.45/3.01 cnf(c8, axiom, % 19.45/3.01 ~p1(sK5(X2)) | p1(X3) | ~r1(X4,X3) | ~r1(X2,X4) | ~r1(sK2,X2)). % 19.45/3.01 cnf(a3, assumption, % 19.45/3.01 sK8(X1) = X3). % 19.45/3.01 cnf(c9, plain, % 19.45/3.01 ~r1(X0,X1), % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a3])], [c6, c8])). % 19.45/3.01 cnf(c10, plain, % 19.45/3.01 ~p1(sK5(X2)) | ~r1(X4,X3) | ~r1(X2,X4) | ~r1(sK2,X2), % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a3])], [c6, c8])). % 19.45/3.01 % 19.45/3.01 cnf(c11, axiom, % 19.45/3.01 p1(X5) | ~r1(sK3,X5)). % 19.45/3.01 cnf(a4, assumption, % 19.45/3.01 sK5(X2) = X5). % 19.45/3.01 cnf(c12, plain, % 19.45/3.01 ~r1(X4,X3) | ~r1(X2,X4) | ~r1(sK2,X2), % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a4])], [c10, c11])). % 19.45/3.01 cnf(c13, plain, % 19.45/3.01 ~r1(sK3,X5), % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a4])], [c10, c11])). % 19.45/3.01 % 19.45/3.01 cnf(c14, axiom, % 19.45/3.01 r1(X6,sK5(X6)) | p1(X7) | ~r1(X8,X7) | ~r1(X6,X8) | ~r1(sK2,X6)). % 19.45/3.01 cnf(a5, assumption, % 19.45/3.01 sK3 = X6). % 19.45/3.01 cnf(a6, assumption, % 19.45/3.01 X5 = sK5(X6)). % 19.45/3.01 cnf(c15, plain, % 19.45/3.01 $false, % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a5, a6])], [c13, c14])). % 19.45/3.01 cnf(c16, plain, % 19.45/3.01 p1(X7) | ~r1(X8,X7) | ~r1(X6,X8) | ~r1(sK2,X6), % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a5, a6])], [c13, c14])). % 19.45/3.01 % 19.45/3.01 cnf(c17, plain, % 19.45/3.01 ~p1(sK8(X1))). % 19.45/3.01 cnf(a7, assumption, % 19.45/3.01 X7 = sK8(X1)). % 19.45/3.01 cnf(c18, plain, % 19.45/3.01 ~r1(X8,X7) | ~r1(X6,X8) | ~r1(sK2,X6), % 19.45/3.01 inference(predicate_reduction, [assumptions([a7])], [c16, c17])). % 19.45/3.01 % 19.45/3.01 cnf(c19, axiom, % 19.45/3.01 p1(X9) | r1(X10,sK8(X10)) | ~r1(X9,X10) | ~r1(sK2,X9)). % 19.45/3.01 cnf(a8, assumption, % 19.45/3.01 X8 = X10). % 19.45/3.01 cnf(a9, assumption, % 19.45/3.01 X7 = sK8(X10)). % 19.45/3.01 cnf(c20, plain, % 19.45/3.01 ~r1(X6,X8) | ~r1(sK2,X6), % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a8, a9])], [c18, c19])). % 19.45/3.01 cnf(c21, plain, % 19.45/3.01 p1(X9) | ~r1(X9,X10) | ~r1(sK2,X9), % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a8, a9])], [c18, c19])). % 19.45/3.01 % 19.45/3.01 cnf(c22, plain, % 19.45/3.01 ~p1(X0)). % 19.45/3.01 cnf(a10, assumption, % 19.45/3.01 X9 = X0). % 19.45/3.01 cnf(c23, plain, % 19.45/3.01 ~r1(X9,X10) | ~r1(sK2,X9), % 19.45/3.01 inference(predicate_reduction, [assumptions([a10])], [c21, c22])). % 19.45/3.01 % 19.45/3.01 cnf(c24, axiom, % 19.45/3.01 r1(X11,sK4(X11)) | ~r1(sK2,X11)). % 19.45/3.01 cnf(a11, assumption, % 19.45/3.01 X9 = X11). % 19.45/3.01 cnf(a12, assumption, % 19.45/3.01 X10 = sK4(X11)). % 19.45/3.01 cnf(c25, plain, % 19.45/3.01 ~r1(sK2,X9), % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a11, a12])], [c23, c24])). % 19.45/3.01 cnf(c26, plain, % 19.45/3.01 ~r1(sK2,X11), % 19.45/3.01 inference(strict_predicate_extension, [assumptions([a11, a12])], [c23, c24])). % 19.45/3.01 % 19.45/3.01 cnf(c27, plain, % 19.45/3.01 r1(sK2,sK3)). % 19.45/3.01 cnf(a13, assumption, % 19.45/3.01 sK2 = sK2). % 19.45/3.01 cnf(a14, assumption, % 19.45/3.01 X11 = sK3). % 19.45/3.01 cnf(c28, plain, % 19.45/3.01 $false, % 19.45/3.01 inference(predicate_reduction, [assumptions([a13, a14])], [c26, c27])). % 19.45/3.01 % 19.45/3.01 cnf(c29, plain, % 19.45/3.01 r1(sK2,sK3)). % 19.45/3.01 cnf(a15, assumption, % 19.45/3.01 sK2 = sK2). % 19.45/3.01 cnf(a16, assumption, % 19.45/3.01 X9 = sK3). % 19.45/3.01 cnf(c30, plain, % 19.45/3.01 $false, % 19.45/3.01 inference(predicate_reduction, [assumptions([a15, a16])], [c25, c29])). % 19.45/3.01 % 19.45/3.01 cnf(c31, plain, % 19.45/3.01 r1(X9,X10)). % 19.45/3.01 cnf(a17, assumption, % 19.45/3.01 X6 = X9). % 19.45/3.01 cnf(a18, assumption, % 19.45/3.01 X8 = X10). % 19.45/3.01 cnf(c32, plain, % 19.45/3.01 ~r1(sK2,X6), % 19.45/3.01 inference(predicate_reduction, [assumptions([a17, a18])], [c20, c31])). % 19.45/3.01 % 19.45/3.01 cnf(c33, plain, % 19.45/3.01 r1(sK2,sK3)). % 19.45/3.01 cnf(a19, assumption, % 19.45/3.01 sK2 = sK2). % 19.45/3.01 cnf(a20, assumption, % 19.45/3.01 X6 = sK3). % 19.45/3.01 cnf(c34, plain, % 19.45/3.01 $false, % 19.45/3.01 inference(predicate_reduction, [assumptions([a19, a20])], [c32, c33])). % 19.45/3.01 % 19.45/3.01 cnf(c35, plain, % 19.45/3.01 r1(X8,X7)). % 19.45/3.01 cnf(a21, assumption, % 19.45/3.01 X4 = X8). % 19.45/3.01 cnf(a22, assumption, % 19.45/3.01 X3 = X7). % 19.45/3.01 cnf(c36, plain, % 19.45/3.01 ~r1(X2,X4) | ~r1(sK2,X2), % 19.45/3.01 inference(predicate_reduction, [assumptions([a21, a22])], [c12, c35])). % 19.45/3.01 % 19.45/3.01 cnf(c37, plain, % 19.45/3.01 r1(X9,X10)). % 19.45/3.01 cnf(a23, assumption, % 19.45/3.01 X2 = X9). % 19.45/3.01 cnf(a24, assumption, % 19.45/3.01 X4 = X10). % 19.45/3.01 cnf(c38, plain, % 19.45/3.01 ~r1(sK2,X2), % 19.45/3.01 inference(predicate_reduction, [assumptions([a23, a24])], [c36, c37])). % 19.45/3.01 % 19.45/3.01 cnf(c39, plain, % 19.45/3.01 r1(sK2,sK3)). % 19.45/3.01 cnf(a25, assumption, % 19.45/3.01 sK2 = sK2). % 19.45/3.01 cnf(a26, assumption, % 19.45/3.01 X2 = sK3). % 19.45/3.01 cnf(c40, plain, % 19.45/3.01 $false, % 19.45/3.01 inference(predicate_reduction, [assumptions([a25, a26])], [c38, c39])). % 19.45/3.01 % 19.45/3.01 cnf(c41, plain, % 19.45/3.01 r1(X9,X10)). % 19.45/3.01 cnf(a27, assumption, % 19.45/3.01 X0 = X9). % 19.45/3.01 cnf(a28, assumption, % 19.45/3.01 X1 = X10). % 19.45/3.01 cnf(c42, plain, % 19.45/3.01 $false, % 19.45/3.01 inference(predicate_reduction, [assumptions([a27, a28])], [c9, c41])). % 19.45/3.01 % 19.45/3.01 cnf(c43, plain, % 19.45/3.01 $false, % 19.45/3.01 inference(constraint_solving, [ % 19.45/3.01 bind(X0, sK3), % 19.45/3.01 bind(X1, sK4(X11)), % 19.45/3.01 bind(X2, sK3), % 19.45/3.01 bind(X3, sK8(X1)), % 19.45/3.01 bind(X4, sK4(X11)), % 19.45/3.01 bind(X5, sK5(X2)), % 19.45/3.01 bind(X6, sK3), % 19.45/3.01 bind(X7, sK8(X1)), % 19.45/3.01 bind(X8, sK4(X11)), % 19.45/3.01 bind(X9, sK3), % 19.45/3.01 bind(X10, sK4(X11)), % 19.45/3.01 bind(X11, sK3) % 19.45/3.01 ], % 19.45/3.01 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28])). % 19.45/3.01 % 19.45/3.01 % SZS output end IncompleteProof %------------------------------------------------------------------------------