%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET617+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n011.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 02:47:06 EDT 2022 % Result : Theorem 0.20s 0.55s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SET617+3 : TPTP v8.1.0. Released v2.2.0. % 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.33 % Computer : n011.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 600 % 0.14/0.33 % DateTime : Sun Jul 10 07:54:41 EDT 2022 % 0.14/0.34 % CPUTime : % 0.20/0.55 % SZS status Theorem % 0.20/0.55 % SZS output begin IncompleteProof % 0.20/0.55 cnf(c0, axiom, % 0.20/0.55 sK4 != union(difference(empty_set,sK4),difference(sK4,empty_set)) | sK4 != union(difference(sK4,empty_set),difference(empty_set,sK4))). % 0.20/0.55 cnf(c1, plain, % 0.20/0.55 sK4 != union(difference(empty_set,sK4),difference(sK4,empty_set)) | sK4 != union(difference(sK4,empty_set),difference(empty_set,sK4)), % 0.20/0.55 inference(start, [], [c0])). % 0.20/0.55 % 0.20/0.55 cnf(c2, axiom, % 0.20/0.55 union(difference(X0,X1),difference(X1,X0)) = union(difference(X1,X0),difference(X0,X1))). % 0.20/0.55 cnf(a0, assumption, % 0.20/0.55 union(difference(empty_set,sK4),difference(sK4,empty_set)) = union(difference(X1,X0),difference(X0,X1))). % 0.20/0.55 cnf(c3, plain, % 0.20/0.55 sK4 != union(difference(sK4,empty_set),difference(empty_set,sK4)), % 0.20/0.55 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.20/0.55 cnf(c4, plain, % 0.20/0.55 $false, % 0.20/0.55 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.20/0.55 cnf(c5, plain, % 0.20/0.55 X2 != union(difference(X0,X1),difference(X1,X0)) | sK4 != X2, % 0.20/0.55 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.20/0.55 % 0.20/0.55 cnf(c6, axiom, % 0.20/0.55 empty_set = difference(empty_set,X3)). % 0.20/0.55 cnf(a1, assumption, % 0.20/0.55 difference(X1,X0) = difference(empty_set,X3)). % 0.20/0.55 cnf(c7, plain, % 0.20/0.55 sK4 != X2, % 0.20/0.55 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 0.20/0.55 cnf(c8, plain, % 0.20/0.55 $false, % 0.20/0.55 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 0.20/0.55 cnf(c9, plain, % 0.20/0.55 X4 != empty_set | X2 != union(difference(X0,X1),X4), % 0.20/0.55 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 0.20/0.55 % 0.20/0.55 cnf(a2, assumption, % 0.20/0.55 X4 = empty_set). % 0.20/0.55 cnf(c10, plain, % 0.20/0.55 X2 != union(difference(X0,X1),X4), % 0.20/0.55 inference(reflexivity, [assumptions([a2])], [c9])). % 0.20/0.55 % 0.20/0.55 cnf(c11, axiom, % 0.20/0.55 difference(X5,empty_set) = X5). % 0.20/0.55 cnf(a3, assumption, % 0.20/0.55 difference(X0,X1) = difference(X5,empty_set)). % 0.20/0.55 cnf(c12, plain, % 0.20/0.55 $false, % 0.20/0.55 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 0.20/0.55 cnf(c13, plain, % 0.20/0.55 $false, % 0.20/0.55 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 0.20/0.55 cnf(c14, plain, % 0.20/0.55 X6 != X5 | X2 != union(X6,X4), % 0.20/0.55 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 0.20/0.55 % 0.20/0.55 cnf(a4, assumption, % 0.20/0.55 X6 = X5). % 0.20/0.55 cnf(c15, plain, % 0.20/0.55 X2 != union(X6,X4), % 0.20/0.55 inference(reflexivity, [assumptions([a4])], [c14])). % 0.20/0.55 % 0.20/0.55 cnf(c16, axiom, % 0.20/0.55 union(X7,empty_set) = X7). % 0.20/0.55 cnf(a5, assumption, % 0.20/0.55 union(X6,X4) = union(X7,empty_set)). % 0.20/0.55 cnf(c17, plain, % 0.20/0.55 $false, % 0.20/0.55 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 0.20/0.55 cnf(c18, plain, % 0.20/0.55 $false, % 0.20/0.55 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 0.20/0.55 cnf(c19, plain, % 0.20/0.55 X8 != X7 | X2 != X8, % 0.20/0.55 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 0.20/0.55 % 0.20/0.55 cnf(a6, assumption, % 0.20/0.55 X8 = X7). % 0.20/0.55 cnf(c20, plain, % 0.20/0.55 X2 != X8, % 0.20/0.55 inference(reflexivity, [assumptions([a6])], [c19])). % 0.20/0.55 % 0.20/0.55 cnf(a7, assumption, % 0.20/0.55 X2 = X8). % 0.20/0.55 cnf(c21, plain, % 0.20/0.55 $false, % 0.20/0.55 inference(reflexivity, [assumptions([a7])], [c20])). % 0.20/0.55 % 0.20/0.55 cnf(a8, assumption, % 0.20/0.55 sK4 = X2). % 0.20/0.55 cnf(c22, plain, % 0.20/0.55 $false, % 0.20/0.55 inference(reflexivity, [assumptions([a8])], [c7])). % 0.20/0.55 % 0.20/0.55 cnf(c23, plain, % 0.20/0.55 X2 = union(difference(X0,X1),difference(X1,X0))). % 0.20/0.55 cnf(a9, assumption, % 0.20/0.55 union(difference(sK4,empty_set),difference(empty_set,sK4)) = union(difference(X0,X1),difference(X1,X0))). % 0.20/0.55 cnf(c24, plain, % 0.20/0.55 $false, % 0.20/0.55 inference(equality_reduction, [assumptions([a9])], [c3, c23])). % 0.20/0.55 cnf(c25, plain, % 0.20/0.55 sK4 != X2, % 0.20/0.55 inference(equality_reduction, [assumptions([a9])], [c3, c23])). % 0.20/0.55 % 0.20/0.55 cnf(a10, assumption, % 0.20/0.55 sK4 = X2). % 0.20/0.55 cnf(c26, plain, % 0.20/0.55 $false, % 0.20/0.55 inference(reflexivity, [assumptions([a10])], [c25])). % 0.20/0.55 % 0.20/0.55 cnf(c27, plain, % 0.20/0.55 $false, % 0.20/0.55 inference(constraint_solving, [ % 0.20/0.55 bind(X0, sK4), % 0.20/0.55 bind(X1, empty_set), % 0.20/0.55 bind(X2, sK4), % 0.20/0.55 bind(X3, sK4), % 0.20/0.55 bind(X4, empty_set), % 0.20/0.55 bind(X5, sK4), % 0.20/0.55 bind(X6, sK4), % 0.20/0.55 bind(X7, sK4), % 0.20/0.55 bind(X8, sK4) % 0.20/0.55 ], % 0.20/0.55 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 0.20/0.55 % 0.20/0.55 % SZS output end IncompleteProof %------------------------------------------------------------------------------