%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SEU056+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 : n023.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 11:52:58 EDT 2022 % Result : Theorem 58.27s 7.77s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU056+1 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.34 % Computer : n023.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Sun Jun 19 20:46:18 EDT 2022 % 0.14/0.34 % CPUTime : % 58.27/7.77 % SZS status Theorem % 58.27/7.77 % SZS output begin IncompleteProof % 58.27/7.77 cnf(c0, axiom, % 58.27/7.77 ~disjoint(relation_image(sK14,sK12),relation_image(sK14,sK13))). % 58.27/7.77 cnf(c1, plain, % 58.27/7.77 ~disjoint(relation_image(sK14,sK12),relation_image(sK14,sK13)), % 58.27/7.77 inference(start, [], [c0])). % 58.27/7.77 % 58.27/7.77 cnf(c2, axiom, % 58.27/7.77 disjoint(X0,X1) | set_intersection2(X0,X1) != empty_set). % 58.27/7.77 cnf(a0, assumption, % 58.27/7.77 relation_image(sK14,sK12) = X0). % 58.27/7.77 cnf(a1, assumption, % 58.27/7.77 relation_image(sK14,sK13) = X1). % 58.27/7.77 cnf(c3, plain, % 58.27/7.77 $false, % 58.27/7.77 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 58.27/7.77 cnf(c4, plain, % 58.27/7.77 set_intersection2(X0,X1) != empty_set, % 58.27/7.77 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 58.27/7.77 % 58.27/7.77 cnf(c5, axiom, % 58.27/7.77 relation_image(X2,set_intersection2(X3,X4)) = set_intersection2(relation_image(X2,X3),relation_image(X2,X4)) | ~one_to_one(X2) | ~function(X2) | ~relation(X2)). % 58.27/7.77 cnf(a2, assumption, % 58.27/7.77 set_intersection2(X0,X1) = set_intersection2(relation_image(X2,X3),relation_image(X2,X4))). % 58.27/7.77 cnf(c6, plain, % 58.27/7.77 $false, % 58.27/7.77 inference(strict_function_extension, [assumptions([a2])], [c4, c5])). % 58.27/7.77 cnf(c7, plain, % 58.27/7.77 ~one_to_one(X2) | ~function(X2) | ~relation(X2), % 58.27/7.77 inference(strict_function_extension, [assumptions([a2])], [c4, c5])). % 58.27/7.77 cnf(c8, plain, % 58.27/7.77 X5 != relation_image(X2,set_intersection2(X3,X4)) | X5 != empty_set, % 58.27/7.77 inference(strict_function_extension, [assumptions([a2])], [c4, c5])). % 58.27/7.77 % 58.27/7.77 cnf(c9, axiom, % 58.27/7.77 set_intersection2(X6,X7) = empty_set | ~disjoint(X6,X7)). % 58.27/7.77 cnf(a3, assumption, % 58.27/7.77 set_intersection2(X3,X4) = set_intersection2(X6,X7)). % 58.27/7.77 cnf(c10, plain, % 58.27/7.77 X5 != empty_set, % 58.27/7.77 inference(strict_function_extension, [assumptions([a3])], [c8, c9])). % 58.27/7.77 cnf(c11, plain, % 58.27/7.77 ~disjoint(X6,X7), % 58.27/7.77 inference(strict_function_extension, [assumptions([a3])], [c8, c9])). % 58.27/7.77 cnf(c12, plain, % 58.27/7.77 X8 != empty_set | X5 != relation_image(X2,X8), % 58.27/7.77 inference(strict_function_extension, [assumptions([a3])], [c8, c9])). % 58.27/7.77 % 58.27/7.77 cnf(a4, assumption, % 58.27/7.77 X8 = empty_set). % 58.27/7.77 cnf(c13, plain, % 58.27/7.77 X5 != relation_image(X2,X8), % 58.27/7.77 inference(reflexivity, [assumptions([a4])], [c12])). % 58.27/7.77 % 58.27/7.77 cnf(c14, axiom, % 58.27/7.77 empty_set = relation_image(X9,empty_set) | ~relation(X9)). % 58.27/7.77 cnf(a5, assumption, % 58.27/7.77 relation_image(X2,X8) = relation_image(X9,empty_set)). % 58.27/7.77 cnf(c15, plain, % 58.27/7.77 $false, % 58.27/7.77 inference(strict_function_extension, [assumptions([a5])], [c13, c14])). % 58.27/7.77 cnf(c16, plain, % 58.27/7.77 ~relation(X9), % 58.27/7.77 inference(strict_function_extension, [assumptions([a5])], [c13, c14])). % 58.27/7.77 cnf(c17, plain, % 58.27/7.77 X10 != empty_set | X5 != X10, % 58.27/7.77 inference(strict_function_extension, [assumptions([a5])], [c13, c14])). % 58.27/7.77 % 58.27/7.77 cnf(a6, assumption, % 58.27/7.77 X10 = empty_set). % 58.27/7.77 cnf(c18, plain, % 58.27/7.77 X5 != X10, % 58.27/7.77 inference(reflexivity, [assumptions([a6])], [c17])). % 58.27/7.77 % 58.27/7.77 cnf(a7, assumption, % 58.27/7.77 X5 = X10). % 58.27/7.77 cnf(c19, plain, % 58.27/7.77 $false, % 58.27/7.77 inference(reflexivity, [assumptions([a7])], [c18])). % 58.27/7.77 % 58.27/7.77 cnf(c20, axiom, % 58.27/7.77 relation(sK14)). % 58.27/7.77 cnf(a8, assumption, % 58.27/7.77 X9 = sK14). % 58.27/7.77 cnf(c21, plain, % 58.27/7.77 $false, % 58.27/7.77 inference(strict_predicate_extension, [assumptions([a8])], [c16, c20])). % 58.27/7.77 cnf(c22, plain, % 58.27/7.77 $false, % 58.27/7.77 inference(strict_predicate_extension, [assumptions([a8])], [c16, c20])). % 58.27/7.77 % 58.27/7.77 cnf(c23, axiom, % 58.27/7.77 disjoint(sK12,sK13)). % 58.27/7.77 cnf(a9, assumption, % 58.27/7.77 X6 = sK12). % 58.27/7.77 cnf(a10, assumption, % 58.27/7.77 X7 = sK13). % 58.27/7.77 cnf(c24, plain, % 58.27/7.77 $false, % 58.27/7.77 inference(strict_predicate_extension, [assumptions([a9, a10])], [c11, c23])). % 58.27/7.77 cnf(c25, plain, % 58.27/7.77 $false, % 58.27/7.77 inference(strict_predicate_extension, [assumptions([a9, a10])], [c11, c23])). % 58.27/7.77 % 58.27/7.77 cnf(a11, assumption, % 58.27/7.77 X5 = empty_set). % 58.27/7.77 cnf(c26, plain, % 58.27/7.77 $false, % 58.27/7.77 inference(reflexivity, [assumptions([a11])], [c10])). % 58.27/7.77 % 58.27/7.77 cnf(c27, axiom, % 58.27/7.77 one_to_one(sK14)). % 58.27/7.77 cnf(a12, assumption, % 58.27/7.77 X2 = sK14). % 58.27/7.77 cnf(c28, plain, % 58.27/7.77 ~function(X2) | ~relation(X2), % 58.27/7.77 inference(strict_predicate_extension, [assumptions([a12])], [c7, c27])). % 58.27/7.77 cnf(c29, plain, % 58.27/7.77 $false, % 58.27/7.77 inference(strict_predicate_extension, [assumptions([a12])], [c7, c27])). % 58.27/7.77 % 58.27/7.77 cnf(c30, axiom, % 58.27/7.77 function(sK14)). % 58.27/7.77 cnf(a13, assumption, % 58.27/7.77 X2 = sK14). % 58.27/7.77 cnf(c31, plain, % 58.27/7.77 ~relation(X2), % 58.27/7.77 inference(strict_predicate_extension, [assumptions([a13])], [c28, c30])). % 58.27/7.77 cnf(c32, plain, % 58.27/7.77 $false, % 58.27/7.77 inference(strict_predicate_extension, [assumptions([a13])], [c28, c30])). % 58.27/7.77 % 58.27/7.77 cnf(c33, plain, % 58.27/7.77 relation(X9)). % 58.27/7.77 cnf(a14, assumption, % 58.27/7.77 X2 = X9). % 58.27/7.77 cnf(c34, plain, % 58.27/7.77 $false, % 58.27/7.77 inference(predicate_reduction, [assumptions([a14])], [c31, c33])). % 58.48/7.77 % 58.48/7.77 cnf(c35, plain, % 58.48/7.77 $false, % 58.48/7.77 inference(constraint_solving, [ % 58.48/7.77 bind(X0, relation_image(sK14,sK12)), % 58.48/7.77 bind(X1, relation_image(sK14,sK13)), % 58.48/7.77 bind(X2, sK14), % 58.48/7.77 bind(X3, sK12), % 58.48/7.77 bind(X4, sK13), % 58.48/7.77 bind(X5, empty_set), % 58.48/7.77 bind(X6, sK12), % 58.48/7.77 bind(X7, sK13), % 58.48/7.77 bind(X8, empty_set), % 58.48/7.77 bind(X9, sK14), % 58.48/7.77 bind(X10, empty_set) % 58.48/7.77 ], % 58.48/7.77 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])). % 58.48/7.77 % 58.48/7.77 % SZS output end IncompleteProof %------------------------------------------------------------------------------