%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET900+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 : 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 02:49:04 EDT 2022 % Result : Theorem 0.12s 0.34s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SET900+1 : TPTP v8.1.0. Released v3.2.0. % 0.10/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.32 % Computer : n011.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Sun Jul 10 00:50:26 EDT 2022 % 0.12/0.32 % CPUTime : % 0.12/0.34 % SZS status Theorem % 0.12/0.34 % SZS output begin IncompleteProof % 0.12/0.34 cnf(c0, axiom, % 0.12/0.34 sK3 = X0 | ~in(X0,sK2)). % 0.12/0.34 cnf(c1, plain, % 0.12/0.34 sK3 = X0 | ~in(X0,sK2), % 0.12/0.34 inference(start, [], [c0])). % 0.12/0.34 % 0.12/0.34 cnf(c2, axiom, % 0.12/0.34 sK4(X1,X2) != X2 | empty_set = X1 | singleton(X2) = X1). % 0.12/0.34 cnf(a0, assumption, % 0.12/0.34 sK4(X1,X2) = X0). % 0.12/0.34 cnf(a1, assumption, % 0.12/0.34 sK3 = X3). % 0.12/0.34 cnf(c3, plain, % 0.12/0.34 ~in(X0,sK2), % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.12/0.34 cnf(c4, plain, % 0.12/0.34 empty_set = X1 | singleton(X2) = X1, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.12/0.34 cnf(c5, plain, % 0.12/0.34 X3 != X2, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.12/0.34 % 0.12/0.34 cnf(a2, assumption, % 0.12/0.34 X3 = X2). % 0.12/0.34 cnf(c6, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a2])], [c5])). % 0.12/0.34 % 0.12/0.34 cnf(c7, axiom, % 0.12/0.34 empty_set != sK2). % 0.12/0.34 cnf(a3, assumption, % 0.12/0.34 sK2 = X1). % 0.12/0.34 cnf(a4, assumption, % 0.12/0.34 empty_set = X4). % 0.12/0.34 cnf(c8, plain, % 0.12/0.34 singleton(X2) = X1, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a3, a4])], [c4, c7])). % 0.12/0.34 cnf(c9, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a3, a4])], [c4, c7])). % 0.12/0.34 cnf(c10, plain, % 0.12/0.34 empty_set != X4, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a3, a4])], [c4, c7])). % 0.12/0.34 % 0.12/0.34 cnf(a5, assumption, % 0.12/0.34 empty_set = X4). % 0.12/0.34 cnf(c11, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a5])], [c10])). % 0.12/0.34 % 0.12/0.34 cnf(c12, axiom, % 0.12/0.34 sK2 != singleton(sK3)). % 0.12/0.34 cnf(a6, assumption, % 0.12/0.34 singleton(sK3) = singleton(X2)). % 0.12/0.34 cnf(c13, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a6])], [c8, c12])). % 0.12/0.34 cnf(c14, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a6])], [c8, c12])). % 0.12/0.34 cnf(c15, plain, % 0.12/0.34 sK2 != X1, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a6])], [c8, c12])). % 0.12/0.34 % 0.12/0.34 cnf(a7, assumption, % 0.12/0.34 sK2 = X1). % 0.12/0.34 cnf(c16, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a7])], [c15])). % 0.12/0.34 % 0.12/0.34 cnf(c17, axiom, % 0.12/0.34 in(sK4(X5,X6),X5) | empty_set = X5 | singleton(X6) = X5). % 0.12/0.34 cnf(a8, assumption, % 0.12/0.34 X0 = sK4(X5,X6)). % 0.12/0.34 cnf(a9, assumption, % 0.12/0.34 sK2 = X5). % 0.12/0.34 cnf(c18, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a8, a9])], [c3, c17])). % 0.12/0.34 cnf(c19, plain, % 0.12/0.34 empty_set = X5 | singleton(X6) = X5, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a8, a9])], [c3, c17])). % 0.12/0.34 % 0.12/0.34 cnf(c20, axiom, % 0.12/0.34 empty_set != sK2). % 0.12/0.34 cnf(a10, assumption, % 0.12/0.34 sK2 = X5). % 0.12/0.34 cnf(a11, assumption, % 0.12/0.34 empty_set = X7). % 0.12/0.34 cnf(c21, plain, % 0.12/0.34 singleton(X6) = X5, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a10, a11])], [c19, c20])). % 0.12/0.34 cnf(c22, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a10, a11])], [c19, c20])). % 0.12/0.34 cnf(c23, plain, % 0.12/0.34 empty_set != X7, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a10, a11])], [c19, c20])). % 0.12/0.34 % 0.12/0.34 cnf(a12, assumption, % 0.12/0.34 empty_set = X7). % 0.12/0.34 cnf(c24, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a12])], [c23])). % 0.12/0.34 % 0.12/0.34 cnf(c25, plain, % 0.12/0.34 singleton(X2) != X1). % 0.12/0.34 cnf(a13, assumption, % 0.12/0.34 singleton(X2) = singleton(X6)). % 0.12/0.34 cnf(c26, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(subterm_reduction, [assumptions([a13])], [c21, c25])). % 0.12/0.34 cnf(c27, plain, % 0.12/0.34 X5 != X1, % 0.12/0.34 inference(subterm_reduction, [assumptions([a13])], [c21, c25])). % 0.12/0.34 % 0.12/0.34 cnf(a14, assumption, % 0.12/0.34 X5 = X1). % 0.12/0.34 cnf(c28, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a14])], [c27])). % 0.12/0.34 % 0.12/0.34 cnf(c29, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(constraint_solving, [ % 0.12/0.34 bind(X0, sK4(X1,X2)), % 0.12/0.34 bind(X1, sK2), % 0.12/0.34 bind(X2, sK3), % 0.12/0.34 bind(X3, sK3), % 0.12/0.34 bind(X4, empty_set), % 0.12/0.34 bind(X5, sK2), % 0.12/0.34 bind(X6, sK3), % 0.12/0.34 bind(X7, empty_set) % 0.12/0.34 ], % 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])). % 0.12/0.34 % 0.12/0.34 % SZS output end IncompleteProof %------------------------------------------------------------------------------