%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : MGT086+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 : n012.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 5.39s 1.10s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : MGT086+1 : TPTP v9.3.1. Bugfixed v9.3.1. % 0.00/0.02 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.03/0.29 % Computer : n012.cluster.edu % 0.03/0.29 % Model : x86_64 x86_64 % 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/0.29 % Memory : 8046.5625MB % 0.03/0.29 % OS : Linux 6.8.0-71-generic % 0.03/0.29 % CPULimit : 300 % 0.03/0.29 % WCLimit : 300 % 0.03/0.29 % DateTime : Mon Sep 7 14:19:56 UTC 2026 % 0.03/0.30 % CPUTime : % 5.39/1.10 % SZS status Theorem % 5.39/1.10 % SZS output begin IncompleteProof % 5.39/1.10 cnf(c0, axiom, % 5.39/1.10 ~in_lopen(X0,v0,v400) | in_lopen(X1,v0,v600) | ~in_lopen(X0,v0,v200) | ~leq(v800,X1)). % 5.39/1.10 cnf(c1, plain, % 5.39/1.10 ~in_lopen(X0,v0,v400) | in_lopen(X1,v0,v600) | ~in_lopen(X0,v0,v200) | ~leq(v800,X1), % 5.39/1.10 inference(start, [], [c0])). % 5.39/1.10 % 5.39/1.10 cnf(c2, axiom, % 5.39/1.10 in_lopen(X2,X3,X4) | ~leq(X2,X4) | ~less(X3,X2)). % 5.39/1.10 cnf(a0, assumption, % 5.39/1.10 X0 = X2). % 5.39/1.10 cnf(a1, assumption, % 5.39/1.10 v0 = X3). % 5.39/1.10 cnf(a2, assumption, % 5.39/1.10 v400 = X4). % 5.39/1.10 cnf(c3, plain, % 5.39/1.10 in_lopen(X1,v0,v600) | ~in_lopen(X0,v0,v200) | ~leq(v800,X1), % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 5.39/1.10 cnf(c4, plain, % 5.39/1.10 ~leq(X2,X4) | ~less(X3,X2), % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 5.39/1.10 % 5.39/1.10 cnf(c5, axiom, % 5.39/1.10 leq(X5,X6) | ~less(X5,X6)). % 5.39/1.10 cnf(a3, assumption, % 5.39/1.10 X2 = X5). % 5.39/1.10 cnf(a4, assumption, % 5.39/1.10 X4 = X6). % 5.39/1.10 cnf(c6, plain, % 5.39/1.10 ~less(X3,X2), % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 5.39/1.10 cnf(c7, plain, % 5.39/1.10 ~less(X5,X6), % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 5.39/1.10 % 5.39/1.10 cnf(c8, axiom, % 5.39/1.10 less(v200,v400)). % 5.39/1.10 cnf(a5, assumption, % 5.39/1.10 X5 = v200). % 5.39/1.10 cnf(a6, assumption, % 5.39/1.10 X6 = v400). % 5.39/1.10 cnf(c9, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c8])). % 5.39/1.10 cnf(c10, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c8])). % 5.39/1.10 % 5.39/1.10 cnf(c11, axiom, % 5.39/1.10 less(v0,v200)). % 5.39/1.10 cnf(a7, assumption, % 5.39/1.10 X3 = v0). % 5.39/1.10 cnf(a8, assumption, % 5.39/1.10 X2 = v200). % 5.39/1.10 cnf(c12, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a7, a8])], [c6, c11])). % 5.39/1.10 cnf(c13, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a7, a8])], [c6, c11])). % 5.39/1.10 % 5.39/1.10 cnf(c14, axiom, % 5.39/1.10 leq(X7,X8) | ~in_lopen(X7,X9,X8)). % 5.39/1.10 cnf(a9, assumption, % 5.39/1.10 X1 = X7). % 5.39/1.10 cnf(a10, assumption, % 5.39/1.10 v0 = X9). % 5.39/1.10 cnf(a11, assumption, % 5.39/1.10 v600 = X8). % 5.39/1.10 cnf(c15, plain, % 5.39/1.10 ~in_lopen(X0,v0,v200) | ~leq(v800,X1), % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c3, c14])). % 5.39/1.10 cnf(c16, plain, % 5.39/1.10 leq(X7,X8), % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c3, c14])). % 5.39/1.10 % 5.39/1.10 cnf(c17, axiom, % 5.39/1.10 less(X10,X11) | ~leq(X12,X11) | ~less(X10,X12)). % 5.39/1.10 cnf(a12, assumption, % 5.39/1.10 X7 = X12). % 5.39/1.10 cnf(a13, assumption, % 5.39/1.10 X8 = X11). % 5.39/1.10 cnf(c18, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a12, a13])], [c16, c17])). % 5.39/1.10 cnf(c19, plain, % 5.39/1.10 less(X10,X11) | ~less(X10,X12), % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a12, a13])], [c16, c17])). % 5.39/1.10 % 5.39/1.10 cnf(c20, axiom, % 5.39/1.10 ~less(X13,X13)). % 5.39/1.10 cnf(a14, assumption, % 5.39/1.10 X10 = X13). % 5.39/1.10 cnf(a15, assumption, % 5.39/1.10 X11 = X13). % 5.39/1.10 cnf(c21, plain, % 5.39/1.10 ~less(X10,X12), % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a14, a15])], [c19, c20])). % 5.39/1.10 cnf(c22, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a14, a15])], [c19, c20])). % 5.39/1.10 % 5.39/1.10 cnf(c23, axiom, % 5.39/1.10 less(v600,v800)). % 5.39/1.10 cnf(a16, assumption, % 5.39/1.10 X10 = v600). % 5.39/1.10 cnf(a17, assumption, % 5.39/1.10 X12 = v800). % 5.39/1.10 cnf(c24, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a16, a17])], [c21, c23])). % 5.39/1.10 cnf(c25, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a16, a17])], [c21, c23])). % 5.39/1.10 % 5.39/1.10 cnf(c26, axiom, % 5.39/1.10 in_lopen(X14,X15,X16) | ~leq(X14,X16) | ~less(X15,X14)). % 5.39/1.10 cnf(a18, assumption, % 5.39/1.10 X0 = X14). % 5.39/1.10 cnf(a19, assumption, % 5.39/1.10 v0 = X15). % 5.39/1.10 cnf(a20, assumption, % 5.39/1.10 v200 = X16). % 5.39/1.10 cnf(c27, plain, % 5.39/1.10 ~leq(v800,X1), % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c15, c26])). % 5.39/1.10 cnf(c28, plain, % 5.39/1.10 ~leq(X14,X16) | ~less(X15,X14), % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c15, c26])). % 5.39/1.10 % 5.39/1.10 cnf(c29, axiom, % 5.39/1.10 leq(X17,X17)). % 5.39/1.10 cnf(a21, assumption, % 5.39/1.10 X14 = X17). % 5.39/1.10 cnf(a22, assumption, % 5.39/1.10 X16 = X17). % 5.39/1.10 cnf(c30, plain, % 5.39/1.10 ~less(X15,X14), % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a21, a22])], [c28, c29])). % 5.39/1.10 cnf(c31, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a21, a22])], [c28, c29])). % 5.39/1.10 % 5.39/1.10 cnf(c32, plain, % 5.39/1.10 less(X3,X2)). % 5.39/1.10 cnf(a23, assumption, % 5.39/1.10 X15 = X3). % 5.39/1.10 cnf(a24, assumption, % 5.39/1.10 X14 = X2). % 5.39/1.10 cnf(c33, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(predicate_reduction, [assumptions([a23, a24])], [c30, c32])). % 5.39/1.10 % 5.39/1.10 cnf(c34, axiom, % 5.39/1.10 leq(X18,X18)). % 5.39/1.10 cnf(a25, assumption, % 5.39/1.10 v800 = X18). % 5.39/1.10 cnf(a26, assumption, % 5.39/1.10 X1 = X18). % 5.39/1.10 cnf(c35, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a25, a26])], [c27, c34])). % 5.39/1.10 cnf(c36, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(strict_predicate_extension, [assumptions([a25, a26])], [c27, c34])). % 5.39/1.10 % 5.39/1.10 cnf(c37, plain, % 5.39/1.10 $false, % 5.39/1.10 inference(constraint_solving, [ % 5.39/1.10 bind(X0, v200), % 5.39/1.10 bind(X1, v800), % 5.39/1.10 bind(X2, v200), % 5.39/1.10 bind(X3, v0), % 5.39/1.10 bind(X4, v400), % 5.39/1.10 bind(X5, v200), % 5.39/1.10 bind(X6, v400), % 5.39/1.10 bind(X7, v800), % 5.39/1.10 bind(X8, v600), % 5.39/1.10 bind(X9, v0), % 5.39/1.10 bind(X10, v600), % 5.39/1.10 bind(X11, v600), % 5.39/1.10 bind(X12, v800), % 5.39/1.10 bind(X13, v600), % 5.39/1.10 bind(X14, v200), % 5.39/1.10 bind(X15, v0), % 5.39/1.10 bind(X16, v200), % 5.39/1.10 bind(X17, v200), % 5.39/1.10 bind(X18, v800) % 5.39/1.10 ], % 5.39/1.10 [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])). % 5.39/1.10 % 5.39/1.10 % SZS output end IncompleteProof %------------------------------------------------------------------------------