%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : 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 02:47:21 EDT 2022 % Result : Theorem 13.43s 2.18s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0. % 0.10/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n023.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sun Jul 10 09:30:25 EDT 2022 % 0.12/0.34 % CPUTime : % 13.43/2.18 % SZS status Theorem % 13.43/2.18 % SZS output begin IncompleteProof % 13.43/2.18 cnf(c0, axiom, % 13.43/2.18 ilf_type(sK21,relation_type(sK19,sK20))). % 13.43/2.18 cnf(c1, plain, % 13.43/2.18 ilf_type(sK21,relation_type(sK19,sK20)), % 13.43/2.18 inference(start, [], [c0])). % 13.43/2.18 % 13.43/2.18 cnf(c2, axiom, % 13.43/2.18 subset(X0,cross_product(X1,X2)) | ~subset(X0,X3) | ~ilf_type(X3,relation_type(X1,X2)) | ~ilf_type(X2,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type)). % 13.43/2.18 cnf(a0, assumption, % 13.43/2.18 sK21 = X3). % 13.43/2.18 cnf(a1, assumption, % 13.43/2.18 relation_type(sK19,sK20) = relation_type(X1,X2)). % 13.43/2.18 cnf(c3, plain, % 13.43/2.18 $false, % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 13.43/2.18 cnf(c4, plain, % 13.43/2.18 subset(X0,cross_product(X1,X2)) | ~subset(X0,X3) | ~ilf_type(X2,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type), % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 13.43/2.18 % 13.43/2.18 cnf(c5, axiom, % 13.43/2.18 ilf_type(X4,relation_type(X5,X6)) | ~subset(X4,cross_product(X5,X6)) | ~ilf_type(X6,set_type) | ~ilf_type(X5,set_type) | ~ilf_type(X4,set_type)). % 13.43/2.18 cnf(a2, assumption, % 13.43/2.18 X0 = X4). % 13.43/2.18 cnf(a3, assumption, % 13.43/2.18 cross_product(X1,X2) = cross_product(X5,X6)). % 13.43/2.18 cnf(c6, plain, % 13.43/2.18 ~subset(X0,X3) | ~ilf_type(X2,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type), % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 13.43/2.18 cnf(c7, plain, % 13.43/2.18 ilf_type(X4,relation_type(X5,X6)) | ~ilf_type(X6,set_type) | ~ilf_type(X5,set_type) | ~ilf_type(X4,set_type), % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 13.43/2.18 % 13.43/2.18 cnf(c8, axiom, % 13.43/2.18 ~ilf_type(sK18,relation_type(sK19,sK20))). % 13.43/2.18 cnf(a4, assumption, % 13.43/2.18 X4 = sK18). % 13.43/2.18 cnf(a5, assumption, % 13.43/2.18 relation_type(X5,X6) = relation_type(sK19,sK20)). % 13.43/2.18 cnf(c9, plain, % 13.43/2.18 ~ilf_type(X6,set_type) | ~ilf_type(X5,set_type) | ~ilf_type(X4,set_type), % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 13.43/2.18 cnf(c10, plain, % 13.43/2.18 $false, % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 13.43/2.18 % 13.43/2.18 cnf(c11, axiom, % 13.43/2.18 ilf_type(X7,set_type)). % 13.43/2.18 cnf(a6, assumption, % 13.43/2.18 X6 = X7). % 13.43/2.18 cnf(a7, assumption, % 13.43/2.18 set_type = set_type). % 13.43/2.18 cnf(c12, plain, % 13.43/2.18 ~ilf_type(X5,set_type) | ~ilf_type(X4,set_type), % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])). % 13.43/2.18 cnf(c13, plain, % 13.43/2.18 $false, % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a6, a7])], [c9, c11])). % 13.43/2.18 % 13.43/2.18 cnf(c14, axiom, % 13.43/2.18 ilf_type(X8,set_type)). % 13.43/2.18 cnf(a8, assumption, % 13.43/2.18 X5 = X8). % 13.43/2.18 cnf(a9, assumption, % 13.43/2.18 set_type = set_type). % 13.43/2.18 cnf(c15, plain, % 13.43/2.18 ~ilf_type(X4,set_type), % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])). % 13.43/2.18 cnf(c16, plain, % 13.43/2.18 $false, % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a8, a9])], [c12, c14])). % 13.43/2.18 % 13.43/2.18 cnf(c17, axiom, % 13.43/2.18 ilf_type(X9,set_type)). % 13.43/2.18 cnf(a10, assumption, % 13.43/2.18 X4 = X9). % 13.43/2.18 cnf(a11, assumption, % 13.43/2.18 set_type = set_type). % 13.43/2.18 cnf(c18, plain, % 13.43/2.18 $false, % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])). % 13.43/2.18 cnf(c19, plain, % 13.43/2.18 $false, % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a10, a11])], [c15, c17])). % 13.43/2.18 % 13.43/2.18 cnf(c20, axiom, % 13.43/2.18 subset(sK18,sK21)). % 13.43/2.18 cnf(a12, assumption, % 13.43/2.18 X0 = sK18). % 13.43/2.18 cnf(a13, assumption, % 13.43/2.18 X3 = sK21). % 13.43/2.18 cnf(c21, plain, % 13.43/2.18 ~ilf_type(X2,set_type) | ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type), % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a12, a13])], [c6, c20])). % 13.43/2.18 cnf(c22, plain, % 13.43/2.18 $false, % 13.43/2.18 inference(strict_predicate_extension, [assumptions([a12, a13])], [c6, c20])). % 13.43/2.18 % 13.43/2.18 cnf(c23, plain, % 13.43/2.18 ilf_type(X6,set_type)). % 13.43/2.18 cnf(a14, assumption, % 13.43/2.18 X2 = X6). % 13.43/2.18 cnf(a15, assumption, % 13.43/2.18 set_type = set_type). % 13.43/2.18 cnf(c24, plain, % 13.43/2.18 ~ilf_type(X1,set_type) | ~ilf_type(X0,set_type), % 13.43/2.18 inference(predicate_reduction, [assumptions([a14, a15])], [c21, c23])). % 13.43/2.18 % 13.43/2.18 cnf(c25, plain, % 13.43/2.18 ilf_type(X5,set_type)). % 13.43/2.18 cnf(a16, assumption, % 13.43/2.18 X1 = X5). % 13.43/2.18 cnf(a17, assumption, % 13.43/2.18 set_type = set_type). % 13.43/2.18 cnf(c26, plain, % 13.43/2.18 ~ilf_type(X0,set_type), % 13.43/2.18 inference(predicate_reduction, [assumptions([a16, a17])], [c24, c25])). % 13.43/2.18 % 13.43/2.18 cnf(c27, plain, % 13.43/2.18 ilf_type(X4,set_type)). % 13.43/2.18 cnf(a18, assumption, % 13.43/2.18 X0 = X4). % 13.43/2.18 cnf(a19, assumption, % 13.43/2.18 set_type = set_type). % 13.43/2.18 cnf(c28, plain, % 13.43/2.18 $false, % 13.43/2.18 inference(predicate_reduction, [assumptions([a18, a19])], [c26, c27])). % 13.43/2.18 % 13.43/2.18 cnf(c29, plain, % 13.43/2.18 $false, % 13.43/2.18 inference(constraint_solving, [ % 13.43/2.18 bind(X0, sK18), % 13.43/2.18 bind(X1, sK19), % 13.43/2.18 bind(X2, sK20), % 13.43/2.18 bind(X3, sK21), % 13.43/2.18 bind(X4, sK18), % 13.43/2.18 bind(X5, sK19), % 13.43/2.18 bind(X6, sK20), % 13.43/2.18 bind(X7, sK20), % 13.43/2.18 bind(X8, sK19), % 13.43/2.18 bind(X9, sK18) % 13.43/2.18 ], % 13.43/2.18 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19])). % 13.43/2.18 % 13.43/2.18 % SZS output end IncompleteProof %------------------------------------------------------------------------------