%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET879+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 : n015.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 02:48:57 EDT 2022 % Result : Theorem 5.25s 1.01s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET879+1 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n015.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jul 10 17:38:08 EDT 2022 % 0.13/0.34 % CPUTime : % 5.25/1.01 % SZS status Theorem % 5.25/1.01 % SZS output begin IncompleteProof % 5.25/1.01 cnf(c0, axiom, % 5.25/1.01 sK4 = sK5 | singleton(sK4) != set_difference(singleton(sK4),singleton(sK5))). % 5.25/1.01 cnf(c1, plain, % 5.25/1.01 sK4 = sK5 | singleton(sK4) != set_difference(singleton(sK4),singleton(sK5)), % 5.25/1.01 inference(start, [], [c0])). % 5.25/1.01 % 5.25/1.01 cnf(c2, axiom, % 5.25/1.01 sK4 != sK5 | singleton(sK4) = set_difference(singleton(sK4),singleton(sK5))). % 5.25/1.01 cnf(a0, assumption, % 5.25/1.01 sK5 = sK5). % 5.25/1.01 cnf(a1, assumption, % 5.25/1.01 sK4 = X0). % 5.25/1.01 cnf(c3, plain, % 5.25/1.01 singleton(sK4) != set_difference(singleton(sK4),singleton(sK5)), % 5.25/1.01 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 5.25/1.01 cnf(c4, plain, % 5.25/1.01 sK4 != sK5, % 5.25/1.01 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 5.25/1.01 cnf(c5, plain, % 5.25/1.01 singleton(sK4) = set_difference(singleton(sK4),singleton(X0)), % 5.25/1.01 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 5.25/1.01 % 5.25/1.01 cnf(c6, axiom, % 5.25/1.01 ~in(X1,X2) | singleton(X1) != set_difference(singleton(X1),X2)). % 5.25/1.01 cnf(a2, assumption, % 5.25/1.01 set_difference(singleton(X1),X2) = set_difference(singleton(sK4),singleton(X0))). % 5.25/1.01 cnf(a3, assumption, % 5.25/1.01 singleton(sK4) = X3). % 5.25/1.01 cnf(c7, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(strict_subterm_extension, [assumptions([a2, a3])], [c5, c6])). % 5.25/1.01 cnf(c8, plain, % 5.25/1.01 ~in(X1,X2), % 5.25/1.01 inference(strict_subterm_extension, [assumptions([a2, a3])], [c5, c6])). % 5.25/1.01 cnf(c9, plain, % 5.25/1.01 singleton(X1) != X3, % 5.25/1.01 inference(strict_subterm_extension, [assumptions([a2, a3])], [c5, c6])). % 5.25/1.01 % 5.25/1.01 cnf(a4, assumption, % 5.25/1.01 singleton(X1) = X3). % 5.25/1.01 cnf(c10, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(reflexivity, [assumptions([a4])], [c9])). % 5.25/1.01 % 5.25/1.01 cnf(c11, axiom, % 5.25/1.01 in(X4,X5) | ~sP0(X4,X5)). % 5.25/1.01 cnf(a5, assumption, % 5.25/1.01 X1 = X4). % 5.25/1.01 cnf(a6, assumption, % 5.25/1.01 X2 = X5). % 5.25/1.01 cnf(c12, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(strict_predicate_extension, [assumptions([a5, a6])], [c8, c11])). % 5.25/1.01 cnf(c13, plain, % 5.25/1.01 ~sP0(X4,X5), % 5.25/1.01 inference(strict_predicate_extension, [assumptions([a5, a6])], [c8, c11])). % 5.25/1.01 % 5.25/1.01 cnf(c14, axiom, % 5.25/1.01 sP0(X6,singleton(X6))). % 5.25/1.01 cnf(a7, assumption, % 5.25/1.01 X4 = X6). % 5.25/1.01 cnf(a8, assumption, % 5.25/1.01 X5 = singleton(X6)). % 5.25/1.01 cnf(c15, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c14])). % 5.25/1.01 cnf(c16, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(strict_predicate_extension, [assumptions([a7, a8])], [c13, c14])). % 5.25/1.01 % 5.25/1.01 cnf(c17, plain, % 5.25/1.01 sK4 = sK5). % 5.25/1.01 cnf(a9, assumption, % 5.25/1.01 sK5 = sK5). % 5.25/1.01 cnf(a10, assumption, % 5.25/1.01 sK4 = X7). % 5.25/1.01 cnf(c18, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(equality_reduction, [assumptions([a9, a10])], [c4, c17])). % 5.25/1.01 cnf(c19, plain, % 5.25/1.01 sK4 != X7, % 5.25/1.01 inference(equality_reduction, [assumptions([a9, a10])], [c4, c17])). % 5.25/1.01 % 5.25/1.01 cnf(a11, assumption, % 5.25/1.01 sK4 = X7). % 5.25/1.01 cnf(c20, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(reflexivity, [assumptions([a11])], [c19])). % 5.25/1.01 % 5.25/1.01 cnf(c21, axiom, % 5.25/1.01 singleton(X8) = set_difference(singleton(X8),X9) | in(X8,X9)). % 5.25/1.01 cnf(a12, assumption, % 5.25/1.01 set_difference(singleton(sK4),singleton(sK5)) = set_difference(singleton(X8),X9)). % 5.25/1.01 cnf(c22, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(strict_function_extension, [assumptions([a12])], [c3, c21])). % 5.25/1.01 cnf(c23, plain, % 5.25/1.01 in(X8,X9), % 5.25/1.01 inference(strict_function_extension, [assumptions([a12])], [c3, c21])). % 5.25/1.01 cnf(c24, plain, % 5.25/1.01 X10 != singleton(X8) | singleton(sK4) != X10, % 5.25/1.01 inference(strict_function_extension, [assumptions([a12])], [c3, c21])). % 5.25/1.01 % 5.25/1.01 cnf(a13, assumption, % 5.25/1.01 X10 = singleton(X8)). % 5.25/1.01 cnf(c25, plain, % 5.25/1.01 singleton(sK4) != X10, % 5.25/1.01 inference(reflexivity, [assumptions([a13])], [c24])). % 5.25/1.01 % 5.25/1.01 cnf(a14, assumption, % 5.25/1.01 singleton(sK4) = X10). % 5.25/1.01 cnf(c26, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(reflexivity, [assumptions([a14])], [c25])). % 5.25/1.01 % 5.25/1.01 cnf(c27, axiom, % 5.25/1.01 X11 = X12 | ~in(X12,X13) | ~sP0(X11,X13)). % 5.25/1.01 cnf(a15, assumption, % 5.25/1.01 X8 = X12). % 5.25/1.01 cnf(a16, assumption, % 5.25/1.01 X9 = X13). % 5.25/1.01 cnf(c28, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(strict_predicate_extension, [assumptions([a15, a16])], [c23, c27])). % 5.25/1.01 cnf(c29, plain, % 5.25/1.01 X11 = X12 | ~sP0(X11,X13), % 5.25/1.01 inference(strict_predicate_extension, [assumptions([a15, a16])], [c23, c27])). % 5.25/1.01 % 5.25/1.01 cnf(c30, plain, % 5.25/1.01 sK4 != sK5). % 5.25/1.01 cnf(a17, assumption, % 5.25/1.01 sK5 = X11). % 5.25/1.01 cnf(c31, plain, % 5.25/1.01 ~sP0(X11,X13), % 5.25/1.01 inference(subterm_reduction, [assumptions([a17])], [c29, c30])). % 5.25/1.01 cnf(c32, plain, % 5.25/1.01 sK4 != X12, % 5.25/1.01 inference(subterm_reduction, [assumptions([a17])], [c29, c30])). % 5.25/1.01 % 5.25/1.01 cnf(a18, assumption, % 5.25/1.01 sK4 = X12). % 5.25/1.01 cnf(c33, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(reflexivity, [assumptions([a18])], [c32])). % 5.25/1.01 % 5.25/1.01 cnf(c34, axiom, % 5.25/1.01 sP0(X14,singleton(X14))). % 5.25/1.01 cnf(a19, assumption, % 5.25/1.01 X11 = X14). % 5.25/1.01 cnf(a20, assumption, % 5.25/1.01 X13 = singleton(X14)). % 5.25/1.01 cnf(c35, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(strict_predicate_extension, [assumptions([a19, a20])], [c31, c34])). % 5.25/1.01 cnf(c36, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(strict_predicate_extension, [assumptions([a19, a20])], [c31, c34])). % 5.25/1.01 % 5.25/1.01 cnf(c37, plain, % 5.25/1.01 $false, % 5.25/1.01 inference(constraint_solving, [ % 5.25/1.01 bind(X0, sK4), % 5.25/1.01 bind(X1, sK4), % 5.25/1.01 bind(X2, singleton(X0)), % 5.25/1.01 bind(X3, singleton(sK4)), % 5.25/1.01 bind(X4, sK4), % 5.25/1.01 bind(X5, singleton(X0)), % 5.25/1.01 bind(X6, sK4), % 5.25/1.01 bind(X7, sK4), % 5.25/1.01 bind(X8, sK4), % 5.25/1.01 bind(X9, singleton(sK5)), % 5.25/1.01 bind(X10, singleton(X8)), % 5.25/1.01 bind(X11, sK5), % 5.25/1.01 bind(X12, sK4), % 5.25/1.01 bind(X13, singleton(sK5)), % 5.25/1.01 bind(X14, sK5) % 5.25/1.01 ], % 5.25/1.01 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])). % 5.25/1.01 % 5.25/1.01 % SZS output end IncompleteProof %------------------------------------------------------------------------------