%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : CAT010-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n021.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 : Fri Jul 15 00:03:27 EDT 2022 % Result : Unsatisfiable 6.83s 1.29s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : CAT010-1 : TPTP v8.1.0. Released v1.0.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.34 % Computer : n021.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Sun May 29 16:39:43 EDT 2022 % 0.14/0.34 % CPUTime : % 6.83/1.29 % SZS status Unsatisfiable % 6.83/1.29 % SZS output begin IncompleteProof % 6.83/1.29 cnf(c0, axiom, % 6.83/1.29 codomain(compose(b,a)) != codomain(b)). % 6.83/1.29 cnf(c1, plain, % 6.83/1.29 codomain(compose(b,a)) != codomain(b), % 6.83/1.29 inference(start, [], [c0])). % 6.83/1.29 % 6.83/1.29 cnf(c2, axiom, % 6.83/1.29 X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)). % 6.83/1.29 cnf(a0, assumption, % 6.83/1.29 codomain(compose(b,a)) = X0). % 6.83/1.29 cnf(c3, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 6.83/1.29 cnf(c4, plain, % 6.83/1.29 ~product(X2,X3,X1) | ~product(X2,X3,X0), % 6.83/1.29 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 6.83/1.29 cnf(c5, plain, % 6.83/1.29 X1 != X4 | X4 != codomain(b), % 6.83/1.29 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 6.83/1.29 % 6.83/1.29 cnf(a1, assumption, % 6.83/1.29 X1 = X4). % 6.83/1.29 cnf(c6, plain, % 6.83/1.29 X4 != codomain(b), % 6.83/1.29 inference(reflexivity, [assumptions([a1])], [c5])). % 6.83/1.29 % 6.83/1.29 cnf(a2, assumption, % 6.83/1.29 X4 = codomain(b)). % 6.83/1.29 cnf(c7, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(reflexivity, [assumptions([a2])], [c6])). % 6.83/1.29 % 6.83/1.29 cnf(c8, axiom, % 6.83/1.29 product(X5,X6,X6) | ~identity_map(X5) | ~defined(X5,X6)). % 6.83/1.29 cnf(a3, assumption, % 6.83/1.29 X2 = X5). % 6.83/1.29 cnf(a4, assumption, % 6.83/1.29 X3 = X6). % 6.83/1.29 cnf(a5, assumption, % 6.83/1.29 X1 = X6). % 6.83/1.29 cnf(c9, plain, % 6.83/1.29 ~product(X2,X3,X0), % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 6.83/1.29 cnf(c10, plain, % 6.83/1.29 ~identity_map(X5) | ~defined(X5,X6), % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 6.83/1.29 % 6.83/1.29 cnf(c11, axiom, % 6.83/1.29 identity_map(codomain(X7))). % 6.83/1.29 cnf(a6, assumption, % 6.83/1.29 X5 = codomain(X7)). % 6.83/1.29 cnf(c12, plain, % 6.83/1.29 ~defined(X5,X6), % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])). % 6.83/1.29 cnf(c13, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])). % 6.83/1.29 % 6.83/1.29 cnf(c14, axiom, % 6.83/1.29 defined(X8,X9) | ~defined(X8,X10) | ~product(X9,X11,X10)). % 6.83/1.29 cnf(a7, assumption, % 6.83/1.29 X5 = X8). % 6.83/1.29 cnf(a8, assumption, % 6.83/1.29 X6 = X9). % 6.83/1.29 cnf(c15, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c14])). % 6.83/1.29 cnf(c16, plain, % 6.83/1.29 ~defined(X8,X10) | ~product(X9,X11,X10), % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c14])). % 6.83/1.29 % 6.83/1.29 cnf(c17, axiom, % 6.83/1.29 defined(X12,X13) | ~defined(X12,X14) | ~product(X13,X15,X14)). % 6.83/1.29 cnf(a9, assumption, % 6.83/1.29 X8 = X12). % 6.83/1.29 cnf(a10, assumption, % 6.83/1.29 X10 = X13). % 6.83/1.29 cnf(c18, plain, % 6.83/1.29 ~product(X9,X11,X10), % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])). % 6.83/1.29 cnf(c19, plain, % 6.83/1.29 ~defined(X12,X14) | ~product(X13,X15,X14), % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])). % 6.83/1.29 % 6.83/1.29 cnf(c20, axiom, % 6.83/1.29 defined(codomain(X16),X16)). % 6.83/1.29 cnf(a11, assumption, % 6.83/1.29 X12 = codomain(X16)). % 6.83/1.29 cnf(a12, assumption, % 6.83/1.29 X14 = X16). % 6.83/1.29 cnf(c21, plain, % 6.83/1.29 ~product(X13,X15,X14), % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a11, a12])], [c19, c20])). % 6.83/1.29 cnf(c22, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a11, a12])], [c19, c20])). % 6.83/1.29 % 6.83/1.29 cnf(c23, axiom, % 6.83/1.29 product(X17,X18,compose(X17,X18)) | ~defined(X17,X18)). % 6.83/1.29 cnf(a13, assumption, % 6.83/1.29 X13 = X17). % 6.83/1.29 cnf(a14, assumption, % 6.83/1.29 X15 = X18). % 6.83/1.29 cnf(a15, assumption, % 6.83/1.29 X14 = compose(X17,X18)). % 6.83/1.29 cnf(c24, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c21, c23])). % 6.83/1.29 cnf(c25, plain, % 6.83/1.29 ~defined(X17,X18), % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c21, c23])). % 6.83/1.29 % 6.83/1.29 cnf(c26, axiom, % 6.83/1.29 defined(b,a)). % 6.83/1.29 cnf(a16, assumption, % 6.83/1.29 X17 = b). % 6.83/1.29 cnf(a17, assumption, % 6.83/1.29 X18 = a). % 6.83/1.29 cnf(c27, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])). % 6.83/1.29 cnf(c28, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])). % 6.83/1.29 % 6.83/1.29 cnf(c29, axiom, % 6.83/1.29 product(codomain(X19),X19,X19)). % 6.83/1.29 cnf(a18, assumption, % 6.83/1.29 X9 = codomain(X19)). % 6.83/1.29 cnf(a19, assumption, % 6.83/1.29 X11 = X19). % 6.83/1.29 cnf(a20, assumption, % 6.83/1.29 X10 = X19). % 6.83/1.29 cnf(c30, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c29])). % 6.83/1.29 cnf(c31, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c29])). % 6.83/1.29 % 6.83/1.29 cnf(c32, axiom, % 6.83/1.29 product(X20,X21,X20) | ~identity_map(X21) | ~defined(X20,X21)). % 6.83/1.29 cnf(a21, assumption, % 6.83/1.29 X2 = X20). % 6.83/1.29 cnf(a22, assumption, % 6.83/1.29 X3 = X21). % 6.83/1.29 cnf(a23, assumption, % 6.83/1.29 X0 = X20). % 6.83/1.29 cnf(c33, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c9, c32])). % 6.83/1.29 cnf(c34, plain, % 6.83/1.29 ~identity_map(X21) | ~defined(X20,X21), % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c9, c32])). % 6.83/1.29 % 6.83/1.29 cnf(c35, axiom, % 6.83/1.29 identity_map(codomain(X22))). % 6.83/1.29 cnf(a24, assumption, % 6.83/1.29 X21 = codomain(X22)). % 6.83/1.29 cnf(c36, plain, % 6.83/1.29 ~defined(X20,X21), % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a24])], [c34, c35])). % 6.83/1.29 cnf(c37, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(strict_predicate_extension, [assumptions([a24])], [c34, c35])). % 6.83/1.29 % 6.83/1.29 cnf(c38, plain, % 6.83/1.29 defined(X5,X6)). % 6.83/1.29 cnf(a25, assumption, % 6.83/1.29 X20 = X5). % 6.83/1.29 cnf(a26, assumption, % 6.83/1.29 X21 = X6). % 6.83/1.29 cnf(c39, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(predicate_reduction, [assumptions([a25, a26])], [c36, c38])). % 6.83/1.29 % 6.83/1.29 cnf(c40, plain, % 6.83/1.29 $false, % 6.83/1.29 inference(constraint_solving, [ % 6.83/1.29 bind(X0, codomain(compose(b,a))), % 6.83/1.29 bind(X1, codomain(b)), % 6.83/1.29 bind(X2, codomain(X7)), % 6.83/1.29 bind(X3, codomain(b)), % 6.83/1.29 bind(X4, codomain(b)), % 6.83/1.29 bind(X5, codomain(X7)), % 6.83/1.29 bind(X6, codomain(b)), % 6.83/1.29 bind(X7, compose(X17,X18)), % 6.83/1.29 bind(X8, codomain(X7)), % 6.83/1.29 bind(X9, codomain(b)), % 6.83/1.29 bind(X10, b), % 6.83/1.29 bind(X11, b), % 6.83/1.29 bind(X12, codomain(X7)), % 6.83/1.29 bind(X13, b), % 6.83/1.29 bind(X14, compose(X17,X18)), % 6.83/1.29 bind(X15, a), % 6.83/1.29 bind(X16, compose(X17,X18)), % 6.83/1.29 bind(X17, b), % 6.83/1.29 bind(X18, a), % 6.83/1.29 bind(X19, b), % 6.83/1.29 bind(X20, codomain(X7)), % 6.83/1.29 bind(X21, codomain(b)), % 6.83/1.29 bind(X22, b) % 6.83/1.29 ], % 6.83/1.29 [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])). % 6.83/1.29 % 6.83/1.29 % SZS output end IncompleteProof %------------------------------------------------------------------------------