%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : CAT009-1 : 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 : n017.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 6.86s 1.22s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : CAT009-1 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n017.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun May 29 18:48:09 EDT 2022 % 0.12/0.33 % CPUTime : % 6.86/1.22 % SZS status Unsatisfiable % 6.86/1.22 % SZS output begin IncompleteProof % 6.86/1.22 cnf(c0, axiom, % 6.86/1.22 domain(compose(b,a)) != domain(a)). % 6.86/1.22 cnf(c1, plain, % 6.86/1.22 domain(compose(b,a)) != domain(a), % 6.86/1.22 inference(start, [], [c0])). % 6.86/1.22 % 6.86/1.22 cnf(c2, axiom, % 6.86/1.22 X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)). % 6.86/1.22 cnf(a0, assumption, % 6.86/1.22 domain(compose(b,a)) = X1). % 6.86/1.22 cnf(c3, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 6.86/1.22 cnf(c4, plain, % 6.86/1.22 ~product(X2,X3,X1) | ~product(X2,X3,X0), % 6.86/1.22 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 6.86/1.22 cnf(c5, plain, % 6.86/1.22 X0 != X4 | X4 != domain(a), % 6.86/1.22 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 6.86/1.22 % 6.86/1.22 cnf(a1, assumption, % 6.86/1.22 X0 = X4). % 6.86/1.22 cnf(c6, plain, % 6.86/1.22 X4 != domain(a), % 6.86/1.22 inference(reflexivity, [assumptions([a1])], [c5])). % 6.86/1.22 % 6.86/1.22 cnf(a2, assumption, % 6.86/1.22 X4 = domain(a)). % 6.86/1.22 cnf(c7, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(reflexivity, [assumptions([a2])], [c6])). % 6.86/1.22 % 6.86/1.22 cnf(c8, axiom, % 6.86/1.22 product(X5,X6,X6) | ~identity_map(X5) | ~defined(X5,X6)). % 6.86/1.22 cnf(a3, assumption, % 6.86/1.22 X2 = X5). % 6.86/1.22 cnf(a4, assumption, % 6.86/1.22 X3 = X6). % 6.86/1.22 cnf(a5, assumption, % 6.86/1.22 X1 = X6). % 6.86/1.22 cnf(c9, plain, % 6.86/1.22 ~product(X2,X3,X0), % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 6.86/1.22 cnf(c10, plain, % 6.86/1.22 ~identity_map(X5) | ~defined(X5,X6), % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])). % 6.86/1.22 % 6.86/1.22 cnf(c11, axiom, % 6.86/1.22 identity_map(domain(X7))). % 6.86/1.22 cnf(a6, assumption, % 6.86/1.22 X5 = domain(X7)). % 6.86/1.22 cnf(c12, plain, % 6.86/1.22 ~defined(X5,X6), % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])). % 6.86/1.22 cnf(c13, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a6])], [c10, c11])). % 6.86/1.22 % 6.86/1.22 cnf(c14, axiom, % 6.86/1.22 defined(X8,X9) | ~defined(X10,X9) | ~product(X11,X8,X10)). % 6.86/1.22 cnf(a7, assumption, % 6.86/1.22 X5 = X8). % 6.86/1.22 cnf(a8, assumption, % 6.86/1.22 X6 = X9). % 6.86/1.22 cnf(c15, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c14])). % 6.86/1.22 cnf(c16, plain, % 6.86/1.22 ~defined(X10,X9) | ~product(X11,X8,X10), % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a7, a8])], [c12, c14])). % 6.86/1.22 % 6.86/1.22 cnf(c17, axiom, % 6.86/1.22 defined(X12,X13) | ~defined(X14,X13) | ~product(X15,X12,X14)). % 6.86/1.22 cnf(a9, assumption, % 6.86/1.22 X10 = X12). % 6.86/1.22 cnf(a10, assumption, % 6.86/1.22 X9 = X13). % 6.86/1.22 cnf(c18, plain, % 6.86/1.22 ~product(X11,X8,X10), % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])). % 6.86/1.22 cnf(c19, plain, % 6.86/1.22 ~defined(X14,X13) | ~product(X15,X12,X14), % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c17])). % 6.86/1.22 % 6.86/1.22 cnf(c20, axiom, % 6.86/1.22 defined(X16,domain(X16))). % 6.86/1.22 cnf(a11, assumption, % 6.86/1.22 X14 = X16). % 6.86/1.22 cnf(a12, assumption, % 6.86/1.22 X13 = domain(X16)). % 6.86/1.22 cnf(c21, plain, % 6.86/1.22 ~product(X15,X12,X14), % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a11, a12])], [c19, c20])). % 6.86/1.22 cnf(c22, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a11, a12])], [c19, c20])). % 6.86/1.22 % 6.86/1.22 cnf(c23, axiom, % 6.86/1.22 product(X17,X18,compose(X17,X18)) | ~defined(X17,X18)). % 6.86/1.22 cnf(a13, assumption, % 6.86/1.22 X15 = X17). % 6.86/1.22 cnf(a14, assumption, % 6.86/1.22 X12 = X18). % 6.86/1.22 cnf(a15, assumption, % 6.86/1.22 X14 = compose(X17,X18)). % 6.86/1.22 cnf(c24, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c21, c23])). % 6.86/1.22 cnf(c25, plain, % 6.86/1.22 ~defined(X17,X18), % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c21, c23])). % 6.86/1.22 % 6.86/1.22 cnf(c26, axiom, % 6.86/1.22 defined(b,a)). % 6.86/1.22 cnf(a16, assumption, % 6.86/1.22 X17 = b). % 6.86/1.22 cnf(a17, assumption, % 6.86/1.22 X18 = a). % 6.86/1.22 cnf(c27, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])). % 6.86/1.22 cnf(c28, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])). % 6.86/1.22 % 6.86/1.22 cnf(c29, axiom, % 6.86/1.22 product(X19,domain(X19),X19)). % 6.86/1.22 cnf(a18, assumption, % 6.86/1.22 X11 = X19). % 6.86/1.22 cnf(a19, assumption, % 6.86/1.22 X8 = domain(X19)). % 6.86/1.22 cnf(a20, assumption, % 6.86/1.22 X10 = X19). % 6.86/1.22 cnf(c30, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c29])). % 6.86/1.22 cnf(c31, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c29])). % 6.86/1.22 % 6.86/1.22 cnf(c32, axiom, % 6.86/1.22 product(X20,X21,X20) | ~identity_map(X21) | ~defined(X20,X21)). % 6.86/1.22 cnf(a21, assumption, % 6.86/1.22 X2 = X20). % 6.86/1.22 cnf(a22, assumption, % 6.86/1.22 X3 = X21). % 6.86/1.22 cnf(a23, assumption, % 6.86/1.22 X0 = X20). % 6.86/1.22 cnf(c33, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c9, c32])). % 6.86/1.22 cnf(c34, plain, % 6.86/1.22 ~identity_map(X21) | ~defined(X20,X21), % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c9, c32])). % 6.86/1.22 % 6.86/1.22 cnf(c35, axiom, % 6.86/1.22 identity_map(domain(X22))). % 6.86/1.22 cnf(a24, assumption, % 6.86/1.22 X21 = domain(X22)). % 6.86/1.22 cnf(c36, plain, % 6.86/1.22 ~defined(X20,X21), % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a24])], [c34, c35])). % 6.86/1.22 cnf(c37, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(strict_predicate_extension, [assumptions([a24])], [c34, c35])). % 6.86/1.22 % 6.86/1.22 cnf(c38, plain, % 6.86/1.22 defined(X5,X6)). % 6.86/1.22 cnf(a25, assumption, % 6.86/1.22 X20 = X5). % 6.86/1.22 cnf(a26, assumption, % 6.86/1.22 X21 = X6). % 6.86/1.22 cnf(c39, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(predicate_reduction, [assumptions([a25, a26])], [c36, c38])). % 6.86/1.22 % 6.86/1.22 cnf(c40, plain, % 6.86/1.22 $false, % 6.86/1.22 inference(constraint_solving, [ % 6.86/1.22 bind(X0, domain(a)), % 6.86/1.22 bind(X1, domain(compose(b,a))), % 6.86/1.22 bind(X2, domain(X7)), % 6.86/1.22 bind(X3, domain(compose(b,a))), % 6.86/1.22 bind(X4, domain(a)), % 6.86/1.22 bind(X5, domain(X7)), % 6.86/1.22 bind(X6, domain(compose(b,a))), % 6.86/1.22 bind(X7, a), % 6.86/1.22 bind(X8, domain(X7)), % 6.86/1.22 bind(X9, domain(compose(b,a))), % 6.86/1.22 bind(X10, a), % 6.86/1.22 bind(X11, a), % 6.86/1.22 bind(X12, a), % 6.86/1.22 bind(X13, domain(compose(b,a))), % 6.86/1.22 bind(X14, compose(b,a)), % 6.86/1.22 bind(X15, b), % 6.86/1.22 bind(X16, compose(b,a)), % 6.86/1.22 bind(X17, b), % 6.86/1.22 bind(X18, a), % 6.86/1.22 bind(X19, a), % 6.86/1.22 bind(X20, domain(X7)), % 6.86/1.22 bind(X21, domain(compose(b,a))), % 6.86/1.22 bind(X22, compose(b,a)) % 6.86/1.22 ], % 6.86/1.22 [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])). % 6.86/1.22 % 6.86/1.22 % SZS output end IncompleteProof %------------------------------------------------------------------------------