%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0. % 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 11:54:34 EDT 2022 % Result : Theorem 0.14s 0.40s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0. % 0.12/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.35 % Computer : n014.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Sun Jun 19 20:39:33 EDT 2022 % 0.14/0.35 % CPUTime : % 0.14/0.40 % SZS status Theorem % 0.14/0.40 % SZS output begin IncompleteProof % 0.14/0.40 cnf(c0, axiom, % 0.14/0.40 ~relation_of2_as_subset(sK6,sK5,sK4)). % 0.14/0.40 cnf(c1, plain, % 0.14/0.40 ~relation_of2_as_subset(sK6,sK5,sK4), % 0.14/0.40 inference(start, [], [c0])). % 0.14/0.40 % 0.14/0.40 cnf(c2, axiom, % 0.14/0.40 relation_of2_as_subset(X0,X1,X2) | ~relation_of2(X0,X1,X2)). % 0.14/0.40 cnf(a0, assumption, % 0.14/0.40 sK6 = X0). % 0.14/0.40 cnf(a1, assumption, % 0.14/0.40 sK5 = X1). % 0.14/0.40 cnf(a2, assumption, % 0.14/0.40 sK4 = X2). % 0.14/0.40 cnf(c3, plain, % 0.14/0.40 $false, % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.14/0.40 cnf(c4, plain, % 0.14/0.40 ~relation_of2(X0,X1,X2), % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.14/0.40 % 0.14/0.40 cnf(c5, axiom, % 0.14/0.40 relation_of2(X3,X4,X5) | ~subset(X3,cartesian_product2(X4,X5))). % 0.14/0.40 cnf(a3, assumption, % 0.14/0.40 X0 = X3). % 0.14/0.40 cnf(a4, assumption, % 0.14/0.40 X1 = X4). % 0.14/0.40 cnf(a5, assumption, % 0.14/0.40 X2 = X5). % 0.14/0.40 cnf(c6, plain, % 0.14/0.40 $false, % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.14/0.40 cnf(c7, plain, % 0.14/0.40 ~subset(X3,cartesian_product2(X4,X5)), % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.14/0.40 % 0.14/0.40 cnf(c8, axiom, % 0.14/0.40 subset(X6,X7) | ~subset(X8,X7) | ~subset(X6,X8)). % 0.14/0.40 cnf(a6, assumption, % 0.14/0.40 X3 = X6). % 0.14/0.40 cnf(a7, assumption, % 0.14/0.40 cartesian_product2(X4,X5) = X7). % 0.14/0.40 cnf(c9, plain, % 0.14/0.40 $false, % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a6, a7])], [c7, c8])). % 0.14/0.40 cnf(c10, plain, % 0.14/0.40 ~subset(X8,X7) | ~subset(X6,X8), % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a6, a7])], [c7, c8])). % 0.14/0.40 % 0.14/0.40 cnf(c11, axiom, % 0.14/0.40 subset(cartesian_product2(X9,X10),cartesian_product2(X11,X12)) | ~subset(X10,X12) | ~subset(X9,X11)). % 0.14/0.40 cnf(a8, assumption, % 0.14/0.40 X8 = cartesian_product2(X9,X10)). % 0.14/0.40 cnf(a9, assumption, % 0.14/0.40 X7 = cartesian_product2(X11,X12)). % 0.14/0.40 cnf(c12, plain, % 0.14/0.40 ~subset(X6,X8), % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a8, a9])], [c10, c11])). % 0.14/0.40 cnf(c13, plain, % 0.14/0.40 ~subset(X10,X12) | ~subset(X9,X11), % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a8, a9])], [c10, c11])). % 0.14/0.40 % 0.14/0.40 cnf(c14, axiom, % 0.14/0.40 subset(relation_rng(sK6),sK4)). % 0.14/0.40 cnf(a10, assumption, % 0.14/0.40 X10 = relation_rng(sK6)). % 0.14/0.40 cnf(a11, assumption, % 0.14/0.40 X12 = sK4). % 0.14/0.40 cnf(c15, plain, % 0.14/0.40 ~subset(X9,X11), % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a10, a11])], [c13, c14])). % 0.14/0.40 cnf(c16, plain, % 0.14/0.40 $false, % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a10, a11])], [c13, c14])). % 0.14/0.40 % 0.14/0.40 cnf(c17, axiom, % 0.14/0.40 subset(relation_dom(X13),X14) | ~relation_of2_as_subset(X13,X14,X15)). % 0.14/0.40 cnf(a12, assumption, % 0.14/0.40 X9 = relation_dom(X13)). % 0.14/0.40 cnf(a13, assumption, % 0.14/0.40 X11 = X14). % 0.14/0.40 cnf(c18, plain, % 0.14/0.40 $false, % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c17])). % 0.14/0.40 cnf(c19, plain, % 0.14/0.40 ~relation_of2_as_subset(X13,X14,X15), % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a12, a13])], [c15, c17])). % 0.14/0.40 % 0.14/0.40 cnf(c20, axiom, % 0.14/0.40 relation_of2_as_subset(sK6,sK5,sK3)). % 0.14/0.40 cnf(a14, assumption, % 0.14/0.40 X13 = sK6). % 0.14/0.40 cnf(a15, assumption, % 0.14/0.40 X14 = sK5). % 0.14/0.40 cnf(a16, assumption, % 0.14/0.40 X15 = sK3). % 0.14/0.40 cnf(c21, plain, % 0.14/0.40 $false, % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c19, c20])). % 0.14/0.40 cnf(c22, plain, % 0.14/0.40 $false, % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c19, c20])). % 0.14/0.40 % 0.14/0.40 cnf(c23, axiom, % 0.14/0.40 subset(X16,cartesian_product2(relation_dom(X16),relation_rng(X16))) | ~relation(X16)). % 0.14/0.40 cnf(a17, assumption, % 0.14/0.40 X6 = X16). % 0.14/0.40 cnf(a18, assumption, % 0.14/0.40 X8 = cartesian_product2(relation_dom(X16),relation_rng(X16))). % 0.14/0.40 cnf(c24, plain, % 0.14/0.40 $false, % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a17, a18])], [c12, c23])). % 0.14/0.40 cnf(c25, plain, % 0.14/0.40 ~relation(X16), % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a17, a18])], [c12, c23])). % 0.14/0.40 % 0.14/0.40 cnf(c26, axiom, % 0.14/0.40 relation(X17) | ~element(X17,powerset(cartesian_product2(X18,X19)))). % 0.14/0.40 cnf(a19, assumption, % 0.14/0.40 X16 = X17). % 0.14/0.40 cnf(c27, plain, % 0.14/0.40 $false, % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a19])], [c25, c26])). % 0.14/0.40 cnf(c28, plain, % 0.14/0.40 ~element(X17,powerset(cartesian_product2(X18,X19))), % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a19])], [c25, c26])). % 0.14/0.40 % 0.14/0.40 cnf(c29, axiom, % 0.14/0.40 element(X20,powerset(cartesian_product2(X21,X22))) | ~relation_of2_as_subset(X20,X21,X22)). % 0.14/0.40 cnf(a20, assumption, % 0.14/0.40 X17 = X20). % 0.14/0.40 cnf(a21, assumption, % 0.14/0.40 powerset(cartesian_product2(X18,X19)) = powerset(cartesian_product2(X21,X22))). % 0.14/0.40 cnf(c30, plain, % 0.14/0.40 $false, % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a20, a21])], [c28, c29])). % 0.14/0.40 cnf(c31, plain, % 0.14/0.40 ~relation_of2_as_subset(X20,X21,X22), % 0.14/0.40 inference(strict_predicate_extension, [assumptions([a20, a21])], [c28, c29])). % 0.14/0.40 % 0.14/0.40 cnf(c32, plain, % 0.14/0.40 relation_of2_as_subset(X13,X14,X15)). % 0.14/0.40 cnf(a22, assumption, % 0.14/0.40 X20 = X13). % 0.14/0.40 cnf(a23, assumption, % 0.14/0.40 X21 = X14). % 0.14/0.40 cnf(a24, assumption, % 0.14/0.40 X22 = X15). % 0.14/0.40 cnf(c33, plain, % 0.14/0.40 $false, % 0.14/0.40 inference(predicate_reduction, [assumptions([a22, a23, a24])], [c31, c32])). % 0.14/0.40 % 0.14/0.40 cnf(c34, plain, % 0.14/0.40 $false, % 0.14/0.40 inference(constraint_solving, [ % 0.14/0.40 bind(X0, sK6), % 0.14/0.40 bind(X1, sK5), % 0.14/0.40 bind(X2, sK4), % 0.14/0.40 bind(X3, sK6), % 0.14/0.40 bind(X4, sK5), % 0.14/0.40 bind(X5, sK4), % 0.14/0.40 bind(X6, sK6), % 0.14/0.40 bind(X7, cartesian_product2(X4,X5)), % 0.14/0.40 bind(X8, cartesian_product2(X9,X10)), % 0.14/0.40 bind(X9, relation_dom(X13)), % 0.14/0.40 bind(X10, relation_rng(sK6)), % 0.14/0.40 bind(X11, sK5), % 0.14/0.40 bind(X12, sK4), % 0.14/0.40 bind(X13, sK6), % 0.14/0.40 bind(X14, sK5), % 0.14/0.40 bind(X15, sK3), % 0.14/0.40 bind(X16, sK6), % 0.14/0.40 bind(X17, sK6), % 0.14/0.40 bind(X18, sK5), % 0.14/0.40 bind(X19, sK3), % 0.14/0.40 bind(X20, sK6), % 0.14/0.40 bind(X21, sK5), % 0.14/0.40 bind(X22, sK3) % 0.14/0.40 ], % 0.14/0.40 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24])). % 0.14/0.40 % 0.14/0.40 % SZS output end IncompleteProof %------------------------------------------------------------------------------