%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET968+1 : 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 : n010.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 02:49:30 EDT 2022 % Result : Theorem 0.14s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET968+1 : TPTP v8.1.0. Released v3.2.0. % 0.12/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.35 % Computer : n010.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Mon Jul 11 02:40:15 EDT 2022 % 0.14/0.36 % CPUTime : % 0.14/0.38 % SZS status Theorem % 0.14/0.38 % SZS output begin IncompleteProof % 0.14/0.38 cnf(c0, axiom, % 0.14/0.38 cartesian_product2(set_union2(sK2,sK3),set_union2(sK4,sK5)) != set_union2(set_union2(set_union2(cartesian_product2(sK2,sK4),cartesian_product2(sK2,sK5)),cartesian_product2(sK3,sK4)),cartesian_product2(sK3,sK5))). % 0.14/0.38 cnf(c1, plain, % 0.14/0.38 cartesian_product2(set_union2(sK2,sK3),set_union2(sK4,sK5)) != set_union2(set_union2(set_union2(cartesian_product2(sK2,sK4),cartesian_product2(sK2,sK5)),cartesian_product2(sK3,sK4)),cartesian_product2(sK3,sK5)), % 0.14/0.38 inference(start, [], [c0])). % 0.14/0.38 % 0.14/0.38 cnf(c2, axiom, % 0.14/0.38 cartesian_product2(set_union2(X0,X1),X2) = set_union2(cartesian_product2(X0,X2),cartesian_product2(X1,X2))). % 0.14/0.38 cnf(a0, assumption, % 0.14/0.38 cartesian_product2(set_union2(sK2,sK3),set_union2(sK4,sK5)) = cartesian_product2(set_union2(X0,X1),X2)). % 0.14/0.38 cnf(c3, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.38 cnf(c4, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.38 cnf(c5, plain, % 0.14/0.38 X3 != set_union2(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) | X3 != set_union2(set_union2(set_union2(cartesian_product2(sK2,sK4),cartesian_product2(sK2,sK5)),cartesian_product2(sK3,sK4)),cartesian_product2(sK3,sK5)), % 0.14/0.38 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.14/0.38 % 0.14/0.38 cnf(c6, axiom, % 0.14/0.38 cartesian_product2(X4,set_union2(X5,X6)) = set_union2(cartesian_product2(X4,X5),cartesian_product2(X4,X6))). % 0.14/0.38 cnf(a1, assumption, % 0.14/0.38 cartesian_product2(X1,X2) = cartesian_product2(X4,set_union2(X5,X6))). % 0.14/0.38 cnf(c7, plain, % 0.14/0.38 X3 != set_union2(set_union2(set_union2(cartesian_product2(sK2,sK4),cartesian_product2(sK2,sK5)),cartesian_product2(sK3,sK4)),cartesian_product2(sK3,sK5)), % 0.14/0.38 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 0.14/0.38 cnf(c8, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 0.14/0.38 cnf(c9, plain, % 0.14/0.38 X7 != set_union2(cartesian_product2(X4,X5),cartesian_product2(X4,X6)) | X3 != set_union2(cartesian_product2(X0,X2),X7), % 0.14/0.38 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 0.14/0.38 % 0.14/0.38 cnf(a2, assumption, % 0.14/0.38 X7 = set_union2(cartesian_product2(X4,X5),cartesian_product2(X4,X6))). % 0.14/0.38 cnf(c10, plain, % 0.14/0.38 X3 != set_union2(cartesian_product2(X0,X2),X7), % 0.14/0.38 inference(reflexivity, [assumptions([a2])], [c9])). % 0.14/0.38 % 0.14/0.38 cnf(c11, axiom, % 0.14/0.38 cartesian_product2(X8,set_union2(X9,X10)) = set_union2(cartesian_product2(X8,X9),cartesian_product2(X8,X10))). % 0.14/0.38 cnf(a3, assumption, % 0.14/0.38 cartesian_product2(X0,X2) = cartesian_product2(X8,set_union2(X9,X10))). % 0.14/0.38 cnf(c12, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 0.14/0.38 cnf(c13, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 0.14/0.38 cnf(c14, plain, % 0.14/0.38 X11 != set_union2(cartesian_product2(X8,X9),cartesian_product2(X8,X10)) | X3 != set_union2(X11,X7), % 0.14/0.38 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 0.14/0.38 % 0.14/0.38 cnf(a4, assumption, % 0.14/0.38 X11 = set_union2(cartesian_product2(X8,X9),cartesian_product2(X8,X10))). % 0.14/0.38 cnf(c15, plain, % 0.14/0.38 X3 != set_union2(X11,X7), % 0.14/0.38 inference(reflexivity, [assumptions([a4])], [c14])). % 0.14/0.38 % 0.14/0.38 cnf(a5, assumption, % 0.14/0.38 X3 = set_union2(X11,X7)). % 0.14/0.38 cnf(c16, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(reflexivity, [assumptions([a5])], [c15])). % 0.14/0.38 % 0.14/0.38 cnf(c17, axiom, % 0.14/0.38 set_union2(set_union2(X12,X13),X14) = set_union2(X12,set_union2(X13,X14))). % 0.14/0.38 cnf(a6, assumption, % 0.14/0.38 set_union2(set_union2(set_union2(cartesian_product2(sK2,sK4),cartesian_product2(sK2,sK5)),cartesian_product2(sK3,sK4)),cartesian_product2(sK3,sK5)) = set_union2(set_union2(X12,X13),X14)). % 0.14/0.38 cnf(c18, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_function_extension, [assumptions([a6])], [c7, c17])). % 0.14/0.38 cnf(c19, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(strict_function_extension, [assumptions([a6])], [c7, c17])). % 0.14/0.38 cnf(c20, plain, % 0.14/0.38 X15 != set_union2(X12,set_union2(X13,X14)) | X3 != X15, % 0.14/0.38 inference(strict_function_extension, [assumptions([a6])], [c7, c17])). % 0.14/0.38 % 0.14/0.38 cnf(a7, assumption, % 0.14/0.38 X15 = set_union2(X12,set_union2(X13,X14))). % 0.14/0.38 cnf(c21, plain, % 0.14/0.38 X3 != X15, % 0.14/0.38 inference(reflexivity, [assumptions([a7])], [c20])). % 0.14/0.38 % 0.14/0.38 cnf(a8, assumption, % 0.14/0.38 X3 = X15). % 0.14/0.38 cnf(c22, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(reflexivity, [assumptions([a8])], [c21])). % 0.14/0.38 % 0.14/0.38 cnf(c23, plain, % 0.14/0.38 $false, % 0.14/0.38 inference(constraint_solving, [ % 0.14/0.38 bind(X0, sK2), % 0.14/0.38 bind(X1, sK3), % 0.14/0.38 bind(X2, set_union2(sK4,sK5)), % 0.14/0.38 bind(X3, set_union2(X11,X7)), % 0.14/0.38 bind(X4, sK3), % 0.14/0.38 bind(X5, sK4), % 0.14/0.38 bind(X6, sK5), % 0.14/0.38 bind(X7, set_union2(cartesian_product2(X4,X5),cartesian_product2(X4,X6))), % 0.14/0.38 bind(X8, sK2), % 0.14/0.38 bind(X9, sK4), % 0.14/0.38 bind(X10, sK5), % 0.14/0.38 bind(X11, set_union2(cartesian_product2(X8,X9),cartesian_product2(X8,X10))), % 0.14/0.38 bind(X12, set_union2(cartesian_product2(sK2,sK4),cartesian_product2(sK2,sK5))), % 0.14/0.38 bind(X13, cartesian_product2(sK3,sK4)), % 0.14/0.38 bind(X14, cartesian_product2(sK3,sK5)), % 0.14/0.38 bind(X15, set_union2(X12,set_union2(X13,X14))) % 0.14/0.38 ], % 0.14/0.38 [a0, a1, a2, a3, a4, a5, a6, a7, a8])). % 0.14/0.38 % 0.14/0.38 % SZS output end IncompleteProof 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