%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT082+1 : TPTP v9.3.1. Bugfixed v9.3.1. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n001.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 : Tue Sep 8 06:13:23 AM UTC 2026 % Result : Theorem 0.78s 0.46s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT082+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.08/0.35 % Computer : n001.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Mon Sep 7 14:21:52 UTC 2026 % 0.08/0.35 % CPUTime : % 0.78/0.46 % SZS status Theorem % 0.78/0.46 % SZS output begin IncompleteProof % 0.78/0.46 cnf(c0, axiom, % 0.78/0.46 in_closed(sK3,v601,v601)). % 0.78/0.46 cnf(c1, plain, % 0.78/0.46 in_closed(sK3,v601,v601), % 0.78/0.46 inference(start, [], [c0])). % 0.78/0.46 % 0.78/0.46 cnf(c2, axiom, % 0.78/0.46 leq(X0,X1) | ~in_closed(X1,X0,X2)). % 0.78/0.46 cnf(a0, assumption, % 0.78/0.46 sK3 = X1). % 0.78/0.46 cnf(a1, assumption, % 0.78/0.46 v601 = X0). % 0.78/0.46 cnf(a2, assumption, % 0.78/0.46 v601 = X2). % 0.78/0.46 cnf(c3, plain, % 0.78/0.46 $false, % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.78/0.46 cnf(c4, plain, % 0.78/0.46 leq(X0,X1), % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.78/0.46 % 0.78/0.46 cnf(c5, axiom, % 0.78/0.46 leq(X3,X4) | ~leq(X5,X4) | ~leq(X3,X5)). % 0.78/0.46 cnf(a3, assumption, % 0.78/0.46 X0 = X3). % 0.78/0.46 cnf(a4, assumption, % 0.78/0.46 X1 = X5). % 0.78/0.46 cnf(c6, plain, % 0.78/0.46 $false, % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 0.78/0.46 cnf(c7, plain, % 0.78/0.46 leq(X3,X4) | ~leq(X5,X4), % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 0.78/0.46 % 0.78/0.46 cnf(c8, axiom, % 0.78/0.46 less(X6,X7) | ~less(X8,X7) | ~leq(X6,X8)). % 0.78/0.46 cnf(a5, assumption, % 0.78/0.46 X3 = X6). % 0.78/0.46 cnf(a6, assumption, % 0.78/0.46 X4 = X8). % 0.78/0.46 cnf(c9, plain, % 0.78/0.46 ~leq(X5,X4), % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c8])). % 0.78/0.46 cnf(c10, plain, % 0.78/0.46 less(X6,X7) | ~less(X8,X7), % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c8])). % 0.78/0.46 % 0.78/0.46 cnf(c11, axiom, % 0.78/0.46 ~less(X9,X9)). % 0.78/0.46 cnf(a7, assumption, % 0.78/0.46 X6 = X9). % 0.78/0.46 cnf(a8, assumption, % 0.78/0.46 X7 = X9). % 0.78/0.46 cnf(c12, plain, % 0.78/0.46 ~less(X8,X7), % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c11])). % 0.78/0.46 cnf(c13, plain, % 0.78/0.46 $false, % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c11])). % 0.78/0.46 % 0.78/0.46 cnf(c14, axiom, % 0.78/0.46 less(v600,v601)). % 0.78/0.46 cnf(a9, assumption, % 0.78/0.46 X8 = v600). % 0.78/0.46 cnf(a10, assumption, % 0.78/0.46 X7 = v601). % 0.78/0.46 cnf(c15, plain, % 0.78/0.46 $false, % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a9, a10])], [c12, c14])). % 0.78/0.46 cnf(c16, plain, % 0.78/0.46 $false, % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a9, a10])], [c12, c14])). % 0.78/0.46 % 0.78/0.46 cnf(c17, axiom, % 0.78/0.46 leq(X10,X11) | ~in_closed(X10,X12,X11)). % 0.78/0.46 cnf(a11, assumption, % 0.78/0.46 X5 = X10). % 0.78/0.46 cnf(a12, assumption, % 0.78/0.46 X4 = X11). % 0.78/0.46 cnf(c18, plain, % 0.78/0.46 $false, % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a11, a12])], [c9, c17])). % 0.78/0.46 cnf(c19, plain, % 0.78/0.46 ~in_closed(X10,X12,X11), % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a11, a12])], [c9, c17])). % 0.78/0.46 % 0.78/0.46 cnf(c20, axiom, % 0.78/0.46 in_closed(sK3,v600,v600)). % 0.78/0.46 cnf(a13, assumption, % 0.78/0.46 X10 = sK3). % 0.78/0.46 cnf(a14, assumption, % 0.78/0.46 X12 = v600). % 0.78/0.46 cnf(a15, assumption, % 0.78/0.46 X11 = v600). % 0.78/0.46 cnf(c21, plain, % 0.78/0.46 $false, % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c19, c20])). % 0.78/0.46 cnf(c22, plain, % 0.78/0.46 $false, % 0.78/0.46 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c19, c20])). % 0.78/0.46 % 0.78/0.46 cnf(c23, plain, % 0.78/0.46 $false, % 0.78/0.46 inference(constraint_solving, [ % 0.78/0.46 bind(X0, v601), % 0.78/0.46 bind(X1, sK3), % 0.78/0.46 bind(X2, v601), % 0.78/0.46 bind(X3, v601), % 0.78/0.46 bind(X4, v600), % 0.78/0.46 bind(X5, sK3), % 0.78/0.46 bind(X6, v601), % 0.78/0.46 bind(X7, v601), % 0.78/0.46 bind(X8, v600), % 0.78/0.46 bind(X9, v601), % 0.78/0.46 bind(X10, sK3), % 0.78/0.46 bind(X11, v600), % 0.78/0.46 bind(X12, v600) % 0.78/0.46 ], % 0.78/0.46 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15])). % 0.78/0.46 % 0.78/0.46 % SZS output end IncompleteProof %------------------------------------------------------------------------------