%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET924+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 : n014.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 02:49:14 EDT 2022 % Result : Theorem 0.12s 0.34s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET924+1 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n014.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jul 10 15:34:35 EDT 2022 % 0.12/0.33 % 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 ~in(sK2,sK3) | singleton(sK2) = set_difference(singleton(sK2),sK3)). % 0.12/0.34 cnf(c1, plain, % 0.12/0.34 ~in(sK2,sK3) | singleton(sK2) = set_difference(singleton(sK2),sK3), % 0.12/0.34 inference(start, [], [c0])). % 0.12/0.34 % 0.12/0.34 cnf(c2, axiom, % 0.12/0.34 singleton(X0) = set_difference(singleton(X0),X1) | in(X0,X1)). % 0.12/0.34 cnf(a0, assumption, % 0.12/0.34 sK2 = X0). % 0.12/0.34 cnf(a1, assumption, % 0.12/0.34 sK3 = X1). % 0.12/0.34 cnf(c3, plain, % 0.12/0.34 singleton(sK2) = set_difference(singleton(sK2),sK3), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.12/0.34 cnf(c4, plain, % 0.12/0.34 singleton(X0) = set_difference(singleton(X0),X1), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.12/0.34 % 0.12/0.34 cnf(c5, axiom, % 0.12/0.34 in(sK2,sK3) | singleton(sK2) != set_difference(singleton(sK2),sK3)). % 0.12/0.34 cnf(a2, assumption, % 0.12/0.34 set_difference(singleton(sK2),sK3) = set_difference(singleton(X0),X1)). % 0.12/0.34 cnf(a3, assumption, % 0.12/0.34 singleton(X0) = X2). % 0.12/0.34 cnf(c6, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a2, a3])], [c4, c5])). % 0.12/0.34 cnf(c7, plain, % 0.12/0.34 in(sK2,sK3), % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a2, a3])], [c4, c5])). % 0.12/0.34 cnf(c8, plain, % 0.12/0.34 singleton(sK2) != X2, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a2, a3])], [c4, c5])). % 0.12/0.34 % 0.12/0.34 cnf(a4, assumption, % 0.12/0.34 singleton(sK2) = X2). % 0.12/0.34 cnf(c9, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a4])], [c8])). % 0.12/0.34 % 0.12/0.34 cnf(c10, plain, % 0.12/0.34 ~in(sK2,sK3)). % 0.12/0.34 cnf(a5, assumption, % 0.12/0.34 sK2 = sK2). % 0.12/0.34 cnf(a6, assumption, % 0.12/0.34 sK3 = sK3). % 0.12/0.34 cnf(c11, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(predicate_reduction, [assumptions([a5, a6])], [c7, c10])). % 0.12/0.34 % 0.12/0.34 cnf(c12, axiom, % 0.12/0.34 ~in(X3,X4) | singleton(X3) != set_difference(singleton(X3),X4)). % 0.12/0.34 cnf(a7, assumption, % 0.12/0.34 set_difference(singleton(X3),X4) = set_difference(singleton(sK2),sK3)). % 0.12/0.34 cnf(a8, assumption, % 0.12/0.34 singleton(sK2) = X5). % 0.12/0.34 cnf(c13, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a7, a8])], [c3, c12])). % 0.12/0.34 cnf(c14, plain, % 0.12/0.34 ~in(X3,X4), % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a7, a8])], [c3, c12])). % 0.12/0.34 cnf(c15, plain, % 0.12/0.34 singleton(X3) != X5, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a7, a8])], [c3, c12])). % 0.12/0.34 % 0.12/0.34 cnf(a9, assumption, % 0.12/0.34 singleton(X3) = X5). % 0.12/0.34 cnf(c16, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a9])], [c15])). % 0.12/0.34 % 0.12/0.34 cnf(c17, plain, % 0.12/0.34 in(sK2,sK3)). % 0.12/0.34 cnf(a10, assumption, % 0.12/0.34 X3 = sK2). % 0.12/0.34 cnf(a11, assumption, % 0.12/0.34 X4 = sK3). % 0.12/0.34 cnf(c18, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(predicate_reduction, [assumptions([a10, a11])], [c14, c17])). % 0.12/0.34 % 0.12/0.34 cnf(c19, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(constraint_solving, [ % 0.12/0.34 bind(X0, sK2), % 0.12/0.34 bind(X1, sK3), % 0.12/0.34 bind(X2, singleton(X0)), % 0.12/0.34 bind(X3, sK2), % 0.12/0.34 bind(X4, sK3), % 0.12/0.34 bind(X5, singleton(sK2)) % 0.12/0.34 ], % 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])). % 0.12/0.34 % 0.12/0.34 % SZS output end IncompleteProof %------------------------------------------------------------------------------