%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SEU147+3 : TPTP v8.1.0. Bugfixed v4.0.0. % 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 11:53:29 EDT 2022 % Result : Theorem 3.65s 0.82s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SEU147+3 : TPTP v8.1.0. Bugfixed v4.0.0. % 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.11/0.33 % Computer : n023.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Sat Jun 18 22:38:34 EDT 2022 % 0.11/0.33 % CPUTime : % 3.65/0.82 % SZS status Theorem % 3.65/0.82 % SZS output begin IncompleteProof % 3.65/0.82 cnf(c0, axiom, % 3.65/0.82 powerset(empty_set) != singleton(empty_set)). % 3.65/0.82 cnf(c1, plain, % 3.65/0.82 powerset(empty_set) != singleton(empty_set), % 3.65/0.82 inference(start, [], [c0])). % 3.65/0.82 % 3.65/0.82 cnf(c2, axiom, % 3.65/0.82 powerset(X0) = X1 | ~sP1(X0,X1)). % 3.65/0.82 cnf(a0, assumption, % 3.65/0.82 powerset(empty_set) = powerset(X0)). % 3.65/0.82 cnf(c3, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 3.65/0.82 cnf(c4, plain, % 3.65/0.82 ~sP1(X0,X1), % 3.65/0.82 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 3.65/0.82 cnf(c5, plain, % 3.65/0.82 X2 != X1 | X2 != singleton(empty_set), % 3.65/0.82 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 3.65/0.82 % 3.65/0.82 cnf(a1, assumption, % 3.65/0.82 X2 = X1). % 3.65/0.82 cnf(c6, plain, % 3.65/0.82 X2 != singleton(empty_set), % 3.65/0.82 inference(reflexivity, [assumptions([a1])], [c5])). % 3.65/0.82 % 3.65/0.82 cnf(a2, assumption, % 3.65/0.82 X2 = singleton(empty_set)). % 3.65/0.82 cnf(c7, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(reflexivity, [assumptions([a2])], [c6])). % 3.65/0.82 % 3.65/0.82 cnf(c8, axiom, % 3.65/0.82 sP1(X3,X4) | subset(sK3(X3,X4),X3) | in(sK3(X3,X4),X4)). % 3.65/0.82 cnf(a3, assumption, % 3.65/0.82 X0 = X3). % 3.65/0.82 cnf(a4, assumption, % 3.65/0.82 X1 = X4). % 3.65/0.82 cnf(c9, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])). % 3.65/0.82 cnf(c10, plain, % 3.65/0.82 subset(sK3(X3,X4),X3) | in(sK3(X3,X4),X4), % 3.65/0.82 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])). % 3.65/0.82 % 3.65/0.82 cnf(c11, axiom, % 3.65/0.82 empty_set = X5 | ~subset(X5,empty_set)). % 3.65/0.82 cnf(a5, assumption, % 3.65/0.82 sK3(X3,X4) = X5). % 3.65/0.82 cnf(a6, assumption, % 3.65/0.82 X3 = empty_set). % 3.65/0.82 cnf(c12, plain, % 3.65/0.82 in(sK3(X3,X4),X4), % 3.65/0.82 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])). % 3.65/0.82 cnf(c13, plain, % 3.65/0.82 empty_set = X5, % 3.65/0.82 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])). % 3.65/0.82 % 3.65/0.82 cnf(c14, axiom, % 3.65/0.82 sP1(X6,X7) | ~subset(sK3(X6,X7),X6) | ~in(sK3(X6,X7),X7)). % 3.65/0.82 cnf(a7, assumption, % 3.65/0.82 sK3(X6,X7) = X5). % 3.65/0.82 cnf(a8, assumption, % 3.65/0.82 empty_set = X8). % 3.65/0.82 cnf(c15, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(strict_subterm_extension, [assumptions([a7, a8])], [c13, c14])). % 3.65/0.82 cnf(c16, plain, % 3.65/0.82 sP1(X6,X7) | ~subset(sK3(X6,X7),X6), % 3.65/0.82 inference(strict_subterm_extension, [assumptions([a7, a8])], [c13, c14])). % 3.65/0.82 cnf(c17, plain, % 3.65/0.82 ~in(X8,X7), % 3.65/0.82 inference(strict_subterm_extension, [assumptions([a7, a8])], [c13, c14])). % 3.65/0.82 % 3.65/0.82 cnf(c18, axiom, % 3.65/0.82 in(X9,X10) | ~sP0(X9,X10)). % 3.65/0.82 cnf(a9, assumption, % 3.65/0.82 X8 = X9). % 3.65/0.82 cnf(a10, assumption, % 3.65/0.82 X7 = X10). % 3.65/0.82 cnf(c19, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(strict_predicate_extension, [assumptions([a9, a10])], [c17, c18])). % 3.65/0.82 cnf(c20, plain, % 3.65/0.82 ~sP0(X9,X10), % 3.65/0.82 inference(strict_predicate_extension, [assumptions([a9, a10])], [c17, c18])). % 3.65/0.82 % 3.65/0.82 cnf(c21, axiom, % 3.65/0.82 sP0(X11,singleton(X11))). % 3.65/0.82 cnf(a11, assumption, % 3.65/0.82 X9 = X11). % 3.65/0.82 cnf(a12, assumption, % 3.65/0.82 X10 = singleton(X11)). % 3.65/0.82 cnf(c22, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(strict_predicate_extension, [assumptions([a11, a12])], [c20, c21])). % 3.65/0.82 cnf(c23, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(strict_predicate_extension, [assumptions([a11, a12])], [c20, c21])). % 3.65/0.82 % 3.65/0.82 cnf(c24, plain, % 3.65/0.82 ~sP1(X0,X1)). % 3.65/0.82 cnf(a13, assumption, % 3.65/0.82 X6 = X0). % 3.65/0.82 cnf(a14, assumption, % 3.65/0.82 X7 = X1). % 3.65/0.82 cnf(c25, plain, % 3.65/0.82 ~subset(sK3(X6,X7),X6), % 3.65/0.82 inference(predicate_reduction, [assumptions([a13, a14])], [c16, c24])). % 3.65/0.82 % 3.65/0.82 cnf(c26, plain, % 3.65/0.82 subset(sK3(X3,X4),X3)). % 3.65/0.82 cnf(a15, assumption, % 3.65/0.82 sK3(X6,X7) = sK3(X3,X4)). % 3.65/0.82 cnf(a16, assumption, % 3.65/0.82 X6 = X3). % 3.65/0.82 cnf(c27, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(predicate_reduction, [assumptions([a15, a16])], [c25, c26])). % 3.65/0.82 % 3.65/0.82 cnf(c28, axiom, % 3.65/0.82 X12 = X13 | ~in(X13,X14) | ~sP0(X12,X14)). % 3.65/0.82 cnf(a17, assumption, % 3.65/0.82 sK3(X3,X4) = X13). % 3.65/0.82 cnf(a18, assumption, % 3.65/0.82 X4 = X14). % 3.65/0.82 cnf(c29, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(strict_predicate_extension, [assumptions([a17, a18])], [c12, c28])). % 3.65/0.82 cnf(c30, plain, % 3.65/0.82 X12 = X13 | ~sP0(X12,X14), % 3.65/0.82 inference(strict_predicate_extension, [assumptions([a17, a18])], [c12, c28])). % 3.65/0.82 % 3.65/0.82 cnf(c31, plain, % 3.65/0.82 ~subset(sK3(X3,X4),X3)). % 3.65/0.82 cnf(a19, assumption, % 3.65/0.82 sK3(X3,X4) = X13). % 3.65/0.82 cnf(c32, plain, % 3.65/0.82 ~sP0(X12,X14), % 3.65/0.82 inference(subterm_reduction, [assumptions([a19])], [c30, c31])). % 3.65/0.82 cnf(c33, plain, % 3.65/0.82 ~subset(X12,X3), % 3.65/0.82 inference(subterm_reduction, [assumptions([a19])], [c30, c31])). % 3.65/0.82 % 3.65/0.82 cnf(c34, axiom, % 3.65/0.82 subset(X15,X15)). % 3.65/0.82 cnf(a20, assumption, % 3.65/0.82 X12 = X15). % 3.65/0.82 cnf(a21, assumption, % 3.65/0.82 X3 = X15). % 3.65/0.82 cnf(c35, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(strict_predicate_extension, [assumptions([a20, a21])], [c33, c34])). % 3.65/0.82 cnf(c36, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(strict_predicate_extension, [assumptions([a20, a21])], [c33, c34])). % 3.65/0.82 % 3.65/0.82 cnf(c37, plain, % 3.65/0.82 sP0(X9,X10)). % 3.65/0.82 cnf(a22, assumption, % 3.65/0.82 X12 = X9). % 3.65/0.82 cnf(a23, assumption, % 3.65/0.82 X14 = X10). % 3.65/0.82 cnf(c38, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(predicate_reduction, [assumptions([a22, a23])], [c32, c37])). % 3.65/0.82 % 3.65/0.82 cnf(c39, plain, % 3.65/0.82 $false, % 3.65/0.82 inference(constraint_solving, [ % 3.65/0.82 bind(X0, empty_set), % 3.65/0.82 bind(X1, singleton(empty_set)), % 3.65/0.82 bind(X2, singleton(empty_set)), % 3.65/0.82 bind(X3, empty_set), % 3.65/0.82 bind(X4, singleton(empty_set)), % 3.65/0.82 bind(X5, sK3(X3,X4)), % 3.65/0.82 bind(X6, empty_set), % 3.65/0.82 bind(X7, singleton(empty_set)), % 3.65/0.82 bind(X8, empty_set), % 3.65/0.82 bind(X9, empty_set), % 3.65/0.82 bind(X10, singleton(empty_set)), % 3.65/0.82 bind(X11, empty_set), % 3.65/0.82 bind(X12, empty_set), % 3.65/0.82 bind(X13, sK3(X3,X4)), % 3.65/0.82 bind(X14, singleton(empty_set)), % 3.65/0.82 bind(X15, empty_set) % 3.65/0.82 ], % 3.65/0.82 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23])). % 3.65/0.82 % 3.65/0.82 % SZS output end IncompleteProof %------------------------------------------------------------------------------