%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SEU165+3 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 11:53:42 EDT 2022 % Result : Theorem 0.21s 0.42s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SEU165+3 : TPTP v8.1.0. Released v3.2.0. % 0.04/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.35 % Computer : n007.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Mon Jun 20 07:19:59 EDT 2022 % 0.13/0.35 % CPUTime : % 0.21/0.42 % SZS status Theorem % 0.21/0.42 % SZS output begin IncompleteProof % 0.21/0.42 cnf(c0, axiom, % 0.21/0.42 ~in(sK3,sK5) | ~in(sK2,sK4) | ~in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5))). % 0.21/0.42 cnf(c1, plain, % 0.21/0.42 ~in(sK3,sK5) | ~in(sK2,sK4) | ~in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5)), % 0.21/0.42 inference(start, [], [c0])). % 0.21/0.42 % 0.21/0.42 cnf(c2, axiom, % 0.21/0.42 in(X0,X1) | ~in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),cartesian_product2(X3,X1))). % 0.21/0.42 cnf(a0, assumption, % 0.21/0.42 sK3 = X0). % 0.21/0.42 cnf(a1, assumption, % 0.21/0.42 sK5 = X1). % 0.21/0.42 cnf(c3, plain, % 0.21/0.42 ~in(sK2,sK4) | ~in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5)), % 0.21/0.42 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.21/0.42 cnf(c4, plain, % 0.21/0.42 ~in(unordered_pair(unordered_pair(X2,X0),singleton(X2)),cartesian_product2(X3,X1)), % 0.21/0.42 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.21/0.42 % 0.21/0.42 cnf(c5, axiom, % 0.21/0.42 in(sK3,sK5) | in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5))). % 0.21/0.42 cnf(a2, assumption, % 0.21/0.42 unordered_pair(unordered_pair(X2,X0),singleton(X2)) = unordered_pair(unordered_pair(sK2,sK3),singleton(sK2))). % 0.21/0.42 cnf(a3, assumption, % 0.21/0.42 cartesian_product2(X3,X1) = cartesian_product2(sK4,sK5)). % 0.21/0.42 cnf(c6, plain, % 0.21/0.42 $false, % 0.21/0.42 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 0.21/0.42 cnf(c7, plain, % 0.21/0.42 in(sK3,sK5), % 0.21/0.42 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 0.21/0.42 % 0.21/0.42 cnf(c8, plain, % 0.21/0.42 ~in(sK3,sK5)). % 0.21/0.42 cnf(a4, assumption, % 0.21/0.42 sK3 = sK3). % 0.21/0.42 cnf(a5, assumption, % 0.21/0.42 sK5 = sK5). % 0.21/0.42 cnf(c9, plain, % 0.21/0.42 $false, % 0.21/0.42 inference(predicate_reduction, [assumptions([a4, a5])], [c7, c8])). % 0.21/0.42 % 0.21/0.42 cnf(c10, axiom, % 0.21/0.42 in(sK2,sK4) | in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5))). % 0.21/0.42 cnf(a6, assumption, % 0.21/0.42 sK2 = sK2). % 0.21/0.42 cnf(a7, assumption, % 0.21/0.42 sK4 = sK4). % 0.21/0.42 cnf(c11, plain, % 0.21/0.42 ~in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5)), % 0.21/0.42 inference(strict_predicate_extension, [assumptions([a6, a7])], [c3, c10])). % 0.21/0.42 cnf(c12, plain, % 0.21/0.42 in(unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)),cartesian_product2(sK4,sK5)), % 0.21/0.42 inference(strict_predicate_extension, [assumptions([a6, a7])], [c3, c10])). % 0.21/0.42 % 0.21/0.42 cnf(c13, axiom, % 0.21/0.42 in(X4,X5) | ~in(unordered_pair(unordered_pair(X4,X6),singleton(X4)),cartesian_product2(X5,X7))). % 0.21/0.42 cnf(a8, assumption, % 0.21/0.42 unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)) = unordered_pair(unordered_pair(X4,X6),singleton(X4))). % 0.21/0.42 cnf(a9, assumption, % 0.21/0.42 cartesian_product2(sK4,sK5) = cartesian_product2(X5,X7)). % 0.21/0.42 cnf(c14, plain, % 0.21/0.42 $false, % 0.21/0.42 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c13])). % 0.21/0.42 cnf(c15, plain, % 0.21/0.42 in(X4,X5), % 0.21/0.42 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c13])). % 0.21/0.42 % 0.21/0.42 cnf(c16, plain, % 0.21/0.42 ~in(sK2,sK4)). % 0.21/0.42 cnf(a10, assumption, % 0.21/0.42 X4 = sK2). % 0.21/0.42 cnf(a11, assumption, % 0.21/0.42 X5 = sK4). % 0.21/0.42 cnf(c17, plain, % 0.21/0.42 $false, % 0.21/0.42 inference(predicate_reduction, [assumptions([a10, a11])], [c15, c16])). % 0.21/0.42 % 0.21/0.42 cnf(c18, axiom, % 0.21/0.42 in(unordered_pair(unordered_pair(X8,X9),singleton(X8)),cartesian_product2(X10,X11)) | ~in(X9,X11) | ~in(X8,X10)). % 0.21/0.42 cnf(a12, assumption, % 0.21/0.42 unordered_pair(unordered_pair(sK2,sK3),singleton(sK2)) = unordered_pair(unordered_pair(X8,X9),singleton(X8))). % 0.21/0.42 cnf(a13, assumption, % 0.21/0.42 cartesian_product2(sK4,sK5) = cartesian_product2(X10,X11)). % 0.21/0.42 cnf(c19, plain, % 0.21/0.42 $false, % 0.21/0.42 inference(strict_predicate_extension, [assumptions([a12, a13])], [c11, c18])). % 0.21/0.42 cnf(c20, plain, % 0.21/0.42 ~in(X9,X11) | ~in(X8,X10), % 0.21/0.42 inference(strict_predicate_extension, [assumptions([a12, a13])], [c11, c18])). % 0.21/0.42 % 0.21/0.42 cnf(c21, plain, % 0.21/0.42 in(sK3,sK5)). % 0.21/0.42 cnf(a14, assumption, % 0.21/0.42 X9 = sK3). % 0.21/0.42 cnf(a15, assumption, % 0.21/0.42 X11 = sK5). % 0.21/0.42 cnf(c22, plain, % 0.21/0.42 ~in(X8,X10), % 0.21/0.42 inference(predicate_reduction, [assumptions([a14, a15])], [c20, c21])). % 0.21/0.42 % 0.21/0.42 cnf(c23, plain, % 0.21/0.42 in(sK2,sK4)). % 0.21/0.42 cnf(a16, assumption, % 0.21/0.42 X8 = sK2). % 0.21/0.42 cnf(a17, assumption, % 0.21/0.42 X10 = sK4). % 0.21/0.42 cnf(c24, plain, % 0.21/0.42 $false, % 0.21/0.42 inference(predicate_reduction, [assumptions([a16, a17])], [c22, c23])). % 0.21/0.42 % 0.21/0.42 cnf(c25, plain, % 0.21/0.42 $false, % 0.21/0.42 inference(constraint_solving, [ % 0.21/0.42 bind(X0, sK3), % 0.21/0.42 bind(X1, sK5), % 0.21/0.42 bind(X2, sK2), % 0.21/0.42 bind(X3, sK4), % 0.21/0.42 bind(X4, sK2), % 0.21/0.42 bind(X5, sK4), % 0.21/0.42 bind(X6, sK3), % 0.21/0.42 bind(X7, sK5), % 0.21/0.42 bind(X8, sK2), % 0.21/0.42 bind(X9, sK3), % 0.21/0.42 bind(X10, sK4), % 0.21/0.42 bind(X11, sK5) % 0.21/0.42 ], % 0.21/0.42 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17])). % 0.21/0.42 % 0.21/0.42 % SZS output end IncompleteProof %------------------------------------------------------------------------------