%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET985+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 : n005.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 02:49:36 EDT 2022 % Result : Theorem 35.49s 4.85s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET985+1 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.33 % Computer : n005.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jul 11 06:23:37 EDT 2022 % 0.13/0.34 % CPUTime : % 35.49/4.85 % SZS status Theorem % 35.49/4.85 % SZS output begin IncompleteProof % 35.49/4.85 cnf(c0, axiom, % 35.49/4.85 ~subset(sK3,sK5)). % 35.49/4.85 cnf(c1, plain, % 35.49/4.85 ~subset(sK3,sK5), % 35.49/4.85 inference(start, [], [c0])). % 35.49/4.85 % 35.49/4.85 cnf(c2, axiom, % 35.49/4.85 subset(X0,X1) | empty_set = cartesian_product2(X2,X0) | ~subset(cartesian_product2(X2,X0),cartesian_product2(X3,X1))). % 35.49/4.85 cnf(a0, assumption, % 35.49/4.85 sK3 = X0). % 35.49/4.85 cnf(a1, assumption, % 35.49/4.85 sK5 = X1). % 35.49/4.85 cnf(c3, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 35.49/4.85 cnf(c4, plain, % 35.49/4.85 empty_set = cartesian_product2(X2,X0) | ~subset(cartesian_product2(X2,X0),cartesian_product2(X3,X1)), % 35.49/4.85 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 35.49/4.85 % 35.49/4.85 cnf(c5, axiom, % 35.49/4.85 empty_set = X4 | empty_set = X5 | empty_set != cartesian_product2(X5,X4)). % 35.49/4.85 cnf(a2, assumption, % 35.49/4.85 cartesian_product2(X5,X4) = cartesian_product2(X2,X0)). % 35.49/4.85 cnf(a3, assumption, % 35.49/4.85 empty_set = X6). % 35.49/4.85 cnf(c6, plain, % 35.49/4.85 ~subset(cartesian_product2(X2,X0),cartesian_product2(X3,X1)), % 35.49/4.85 inference(strict_subterm_extension, [assumptions([a2, a3])], [c4, c5])). % 35.49/4.85 cnf(c7, plain, % 35.49/4.85 empty_set = X4 | empty_set = X5, % 35.49/4.85 inference(strict_subterm_extension, [assumptions([a2, a3])], [c4, c5])). % 35.49/4.85 cnf(c8, plain, % 35.49/4.85 empty_set != X6, % 35.49/4.85 inference(strict_subterm_extension, [assumptions([a2, a3])], [c4, c5])). % 35.49/4.85 % 35.49/4.85 cnf(a4, assumption, % 35.49/4.85 empty_set = X6). % 35.49/4.85 cnf(c9, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(reflexivity, [assumptions([a4])], [c8])). % 35.49/4.85 % 35.49/4.85 cnf(c10, plain, % 35.49/4.85 ~subset(sK3,sK5)). % 35.49/4.85 cnf(a5, assumption, % 35.49/4.85 sK3 = X4). % 35.49/4.85 cnf(a6, assumption, % 35.49/4.85 empty_set = X7). % 35.49/4.85 cnf(c11, plain, % 35.49/4.85 empty_set = X5, % 35.49/4.85 inference(subterm_reduction, [assumptions([a5, a6])], [c7, c10])). % 35.49/4.85 cnf(c12, plain, % 35.49/4.85 ~subset(X7,sK5), % 35.49/4.85 inference(subterm_reduction, [assumptions([a5, a6])], [c7, c10])). % 35.49/4.85 % 35.49/4.85 cnf(c13, axiom, % 35.49/4.85 subset(empty_set,X8)). % 35.49/4.85 cnf(a7, assumption, % 35.49/4.85 X7 = empty_set). % 35.49/4.85 cnf(a8, assumption, % 35.49/4.85 sK5 = X8). % 35.49/4.85 cnf(c14, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c13])). % 35.49/4.85 cnf(c15, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c13])). % 35.49/4.85 % 35.49/4.85 cnf(c16, axiom, % 35.49/4.85 ~empty(sK2)). % 35.49/4.85 cnf(a9, assumption, % 35.49/4.85 sK2 = X5). % 35.49/4.85 cnf(a10, assumption, % 35.49/4.85 empty_set = X9). % 35.49/4.85 cnf(c17, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(strict_subterm_extension, [assumptions([a9, a10])], [c11, c16])). % 35.49/4.85 cnf(c18, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(strict_subterm_extension, [assumptions([a9, a10])], [c11, c16])). % 35.49/4.85 cnf(c19, plain, % 35.49/4.85 ~empty(X9), % 35.49/4.85 inference(strict_subterm_extension, [assumptions([a9, a10])], [c11, c16])). % 35.49/4.85 % 35.49/4.85 cnf(c20, axiom, % 35.49/4.85 empty(empty_set)). % 35.49/4.85 cnf(a11, assumption, % 35.49/4.85 X9 = empty_set). % 35.49/4.85 cnf(c21, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(strict_predicate_extension, [assumptions([a11])], [c19, c20])). % 35.49/4.85 cnf(c22, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(strict_predicate_extension, [assumptions([a11])], [c19, c20])). % 35.49/4.85 % 35.49/4.85 cnf(c23, axiom, % 35.49/4.85 subset(cartesian_product2(sK3,sK2),cartesian_product2(sK5,sK4)) | subset(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5))). % 35.49/4.85 cnf(a12, assumption, % 35.49/4.85 cartesian_product2(X2,X0) = cartesian_product2(sK2,sK3)). % 35.49/4.85 cnf(a13, assumption, % 35.49/4.85 cartesian_product2(X3,X1) = cartesian_product2(sK4,sK5)). % 35.49/4.85 cnf(c24, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(strict_predicate_extension, [assumptions([a12, a13])], [c6, c23])). % 35.49/4.85 cnf(c25, plain, % 35.49/4.85 subset(cartesian_product2(sK3,sK2),cartesian_product2(sK5,sK4)), % 35.49/4.85 inference(strict_predicate_extension, [assumptions([a12, a13])], [c6, c23])). % 35.49/4.85 % 35.49/4.85 cnf(c26, axiom, % 35.49/4.85 subset(X10,X11) | empty_set = cartesian_product2(X10,X12) | ~subset(cartesian_product2(X10,X12),cartesian_product2(X11,X13))). % 35.49/4.85 cnf(a14, assumption, % 35.49/4.85 cartesian_product2(sK3,sK2) = cartesian_product2(X10,X12)). % 35.49/4.85 cnf(a15, assumption, % 35.49/4.85 cartesian_product2(sK5,sK4) = cartesian_product2(X11,X13)). % 35.49/4.85 cnf(c27, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(strict_predicate_extension, [assumptions([a14, a15])], [c25, c26])). % 35.49/4.85 cnf(c28, plain, % 35.49/4.85 subset(X10,X11) | empty_set = cartesian_product2(X10,X12), % 35.49/4.85 inference(strict_predicate_extension, [assumptions([a14, a15])], [c25, c26])). % 35.49/4.85 % 35.49/4.85 cnf(c29, plain, % 35.49/4.85 ~subset(sK3,sK5)). % 35.49/4.85 cnf(a16, assumption, % 35.49/4.85 X10 = sK3). % 35.49/4.85 cnf(a17, assumption, % 35.49/4.85 X11 = sK5). % 35.49/4.85 cnf(c30, plain, % 35.49/4.85 empty_set = cartesian_product2(X10,X12), % 35.49/4.85 inference(predicate_reduction, [assumptions([a16, a17])], [c28, c29])). % 35.49/4.85 % 35.49/4.85 cnf(c31, axiom, % 35.49/4.85 empty_set = X14 | empty_set = X15 | empty_set != cartesian_product2(X15,X14)). % 35.49/4.85 cnf(a18, assumption, % 35.49/4.85 cartesian_product2(X15,X14) = cartesian_product2(X10,X12)). % 35.49/4.85 cnf(a19, assumption, % 35.49/4.85 empty_set = X16). % 35.49/4.85 cnf(c32, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(strict_subterm_extension, [assumptions([a18, a19])], [c30, c31])). % 35.49/4.85 cnf(c33, plain, % 35.49/4.85 empty_set = X14 | empty_set = X15, % 35.49/4.85 inference(strict_subterm_extension, [assumptions([a18, a19])], [c30, c31])). % 35.49/4.85 cnf(c34, plain, % 35.49/4.85 empty_set != X16, % 35.49/4.85 inference(strict_subterm_extension, [assumptions([a18, a19])], [c30, c31])). % 35.49/4.85 % 35.49/4.85 cnf(a20, assumption, % 35.49/4.85 empty_set = X16). % 35.49/4.85 cnf(c35, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(reflexivity, [assumptions([a20])], [c34])). % 35.49/4.85 % 35.49/4.85 cnf(c36, axiom, % 35.49/4.85 ~empty(sK2)). % 35.49/4.85 cnf(a21, assumption, % 35.49/4.85 sK2 = X14). % 35.49/4.85 cnf(a22, assumption, % 35.49/4.85 empty_set = X17). % 35.49/4.85 cnf(c37, plain, % 35.49/4.85 empty_set = X15, % 35.49/4.85 inference(strict_subterm_extension, [assumptions([a21, a22])], [c33, c36])). % 35.49/4.85 cnf(c38, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(strict_subterm_extension, [assumptions([a21, a22])], [c33, c36])). % 35.49/4.85 cnf(c39, plain, % 35.49/4.85 ~empty(X17), % 35.49/4.85 inference(strict_subterm_extension, [assumptions([a21, a22])], [c33, c36])). % 35.49/4.85 % 35.49/4.85 cnf(c40, plain, % 35.49/4.85 empty(X9)). % 35.49/4.85 cnf(a23, assumption, % 35.49/4.85 X17 = X9). % 35.49/4.85 cnf(c41, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(predicate_reduction, [assumptions([a23])], [c39, c40])). % 35.49/4.85 % 35.49/4.85 cnf(c42, plain, % 35.49/4.85 ~subset(sK3,sK5)). % 35.49/4.85 cnf(a24, assumption, % 35.49/4.85 sK3 = X15). % 35.49/4.85 cnf(a25, assumption, % 35.49/4.85 empty_set = X18). % 35.49/4.85 cnf(c43, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(subterm_reduction, [assumptions([a24, a25])], [c37, c42])). % 35.49/4.85 cnf(c44, plain, % 35.49/4.85 ~subset(X18,sK5), % 35.49/4.85 inference(subterm_reduction, [assumptions([a24, a25])], [c37, c42])). % 35.49/4.85 % 35.49/4.85 cnf(c45, plain, % 35.49/4.85 subset(X7,sK5)). % 35.49/4.85 cnf(a26, assumption, % 35.49/4.85 X18 = X7). % 35.49/4.85 cnf(a27, assumption, % 35.49/4.85 sK5 = sK5). % 35.49/4.85 cnf(c46, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(predicate_reduction, [assumptions([a26, a27])], [c44, c45])). % 35.49/4.85 % 35.49/4.85 cnf(c47, plain, % 35.49/4.85 $false, % 35.49/4.85 inference(constraint_solving, [ % 35.49/4.85 bind(X0, sK3), % 35.49/4.85 bind(X1, sK5), % 35.49/4.85 bind(X2, sK2), % 35.49/4.85 bind(X3, sK4), % 35.49/4.85 bind(X4, sK3), % 35.49/4.85 bind(X5, sK2), % 35.49/4.85 bind(X6, empty_set), % 35.49/4.85 bind(X7, empty_set), % 35.49/4.85 bind(X8, sK5), % 35.49/4.85 bind(X9, empty_set), % 35.49/4.85 bind(X10, sK3), % 35.49/4.85 bind(X11, sK5), % 35.49/4.85 bind(X12, sK2), % 35.49/4.85 bind(X13, sK4), % 35.49/4.85 bind(X14, sK2), % 35.49/4.85 bind(X15, sK3), % 35.49/4.85 bind(X16, empty_set), % 35.49/4.85 bind(X17, empty_set), % 35.49/4.85 bind(X18, empty_set) % 35.49/4.85 ], % 35.49/4.85 [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, a25, a26, a27])). % 35.49/4.85 % 35.49/4.85 % SZS output end IncompleteProof %------------------------------------------------------------------------------