%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET983+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 02:49:35 EDT 2022 % Result : Theorem 0.13s 0.36s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET983+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 15:21:53 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.36 % SZS status Theorem % 0.13/0.36 % SZS output begin IncompleteProof % 0.13/0.36 cnf(c0, axiom, % 0.13/0.36 ~in(sK5,cartesian_product2(set_intersection2(sK6,sK8),set_intersection2(sK7,sK9)))). % 0.13/0.36 cnf(c1, plain, % 0.13/0.36 ~in(sK5,cartesian_product2(set_intersection2(sK6,sK8),set_intersection2(sK7,sK9))), % 0.13/0.36 inference(start, [], [c0])). % 0.13/0.36 % 0.13/0.36 cnf(c2, axiom, % 0.13/0.36 cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3)) = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3))). % 0.13/0.36 cnf(a0, assumption, % 0.13/0.36 cartesian_product2(set_intersection2(sK6,sK8),set_intersection2(sK7,sK9)) = cartesian_product2(set_intersection2(X0,X1),set_intersection2(X2,X3))). % 0.13/0.36 cnf(c3, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.36 cnf(c4, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.36 cnf(c5, plain, % 0.13/0.36 X4 != set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) | ~in(sK5,X4), % 0.13/0.36 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.36 % 0.13/0.36 cnf(a1, assumption, % 0.13/0.36 X4 = set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3))). % 0.13/0.36 cnf(c6, plain, % 0.13/0.36 ~in(sK5,X4), % 0.13/0.36 inference(reflexivity, [assumptions([a1])], [c5])). % 0.13/0.36 % 0.13/0.36 cnf(c7, axiom, % 0.13/0.36 in(X5,X6) | ~sP0(X7,X5,X8) | ~sP1(X8,X7,X6)). % 0.13/0.36 cnf(a2, assumption, % 0.13/0.36 sK5 = X5). % 0.13/0.36 cnf(a3, assumption, % 0.13/0.36 X4 = X6). % 0.13/0.36 cnf(c8, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a2, a3])], [c6, c7])). % 0.13/0.36 cnf(c9, plain, % 0.13/0.36 ~sP0(X7,X5,X8) | ~sP1(X8,X7,X6), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a2, a3])], [c6, c7])). % 0.13/0.36 % 0.13/0.36 cnf(c10, axiom, % 0.13/0.36 sP0(X9,X10,X11) | ~in(X10,X9) | ~in(X10,X11)). % 0.13/0.36 cnf(a4, assumption, % 0.13/0.36 X7 = X9). % 0.13/0.36 cnf(a5, assumption, % 0.13/0.36 X5 = X10). % 0.13/0.36 cnf(a6, assumption, % 0.13/0.36 X8 = X11). % 0.13/0.36 cnf(c11, plain, % 0.13/0.36 ~sP1(X8,X7,X6), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c9, c10])). % 0.13/0.36 cnf(c12, plain, % 0.13/0.36 ~in(X10,X9) | ~in(X10,X11), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c9, c10])). % 0.13/0.36 % 0.13/0.36 cnf(c13, axiom, % 0.13/0.36 in(sK5,cartesian_product2(sK8,sK9))). % 0.13/0.36 cnf(a7, assumption, % 0.13/0.36 X10 = sK5). % 0.13/0.36 cnf(a8, assumption, % 0.13/0.36 X9 = cartesian_product2(sK8,sK9)). % 0.13/0.36 cnf(c14, plain, % 0.13/0.36 ~in(X10,X11), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c13])). % 0.13/0.36 cnf(c15, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c13])). % 0.13/0.36 % 0.13/0.36 cnf(c16, axiom, % 0.13/0.36 in(sK5,cartesian_product2(sK6,sK7))). % 0.13/0.36 cnf(a9, assumption, % 0.13/0.36 X10 = sK5). % 0.13/0.36 cnf(a10, assumption, % 0.13/0.36 X11 = cartesian_product2(sK6,sK7)). % 0.13/0.36 cnf(c17, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a9, a10])], [c14, c16])). % 0.13/0.36 cnf(c18, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a9, a10])], [c14, c16])). % 0.13/0.36 % 0.13/0.36 cnf(c19, axiom, % 0.13/0.36 sP1(X12,X13,set_intersection2(X12,X13))). % 0.13/0.36 cnf(a11, assumption, % 0.13/0.36 X8 = X12). % 0.13/0.36 cnf(a12, assumption, % 0.13/0.36 X7 = X13). % 0.13/0.36 cnf(a13, assumption, % 0.13/0.36 X6 = set_intersection2(X12,X13)). % 0.13/0.36 cnf(c20, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c11, c19])). % 0.13/0.36 cnf(c21, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c11, c19])). % 0.13/0.36 % 0.13/0.36 cnf(c22, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(constraint_solving, [ % 0.13/0.36 bind(X0, sK6), % 0.13/0.36 bind(X1, sK8), % 0.13/0.36 bind(X2, sK7), % 0.13/0.36 bind(X3, sK9), % 0.13/0.36 bind(X4, set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3))), % 0.13/0.36 bind(X5, sK5), % 0.13/0.36 bind(X6, set_intersection2(cartesian_product2(X0,X2),cartesian_product2(X1,X3))), % 0.13/0.36 bind(X7, cartesian_product2(sK8,sK9)), % 0.13/0.36 bind(X8, cartesian_product2(sK6,sK7)), % 0.13/0.36 bind(X9, cartesian_product2(sK8,sK9)), % 0.13/0.36 bind(X10, sK5), % 0.13/0.36 bind(X11, cartesian_product2(sK6,sK7)), % 0.13/0.36 bind(X12, cartesian_product2(sK6,sK7)), % 0.13/0.36 bind(X13, cartesian_product2(sK8,sK9)) % 0.13/0.36 ], % 0.13/0.36 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13])). % 0.13/0.36 % 0.13/0.36 % SZS output end IncompleteProof %------------------------------------------------------------------------------