%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : CAT009-4 : 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 : 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 : Fri Jul 15 00:03:27 EDT 2022 % Result : Unsatisfiable 237.78s 30.52s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : CAT009-4 : TPTP v8.1.0. Released v1.0.0. % 0.04/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.35 % Computer : n023.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 May 29 19:52:42 EDT 2022 % 0.14/0.35 % CPUTime : % 237.78/30.52 % SZS status Unsatisfiable % 237.78/30.52 % SZS output begin IncompleteProof % 237.78/30.52 cnf(c0, axiom, % 237.78/30.52 domain(compose(a,b)) != domain(b)). % 237.78/30.52 cnf(c1, plain, % 237.78/30.52 domain(compose(a,b)) != domain(b), % 237.78/30.52 inference(start, [], [c0])). % 237.78/30.52 % 237.78/30.52 cnf(c2, axiom, % 237.78/30.52 domain(X0) = codomain(X1) | ~there_exists(compose(X0,X1))). % 237.78/30.52 cnf(a0, assumption, % 237.78/30.52 domain(compose(a,b)) = domain(X0)). % 237.78/30.52 cnf(c3, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 237.78/30.52 cnf(c4, plain, % 237.78/30.52 ~there_exists(compose(X0,X1)), % 237.78/30.52 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 237.78/30.52 cnf(c5, plain, % 237.78/30.52 X2 != codomain(X1) | X2 != domain(b), % 237.78/30.52 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 237.78/30.52 % 237.78/30.52 cnf(c6, axiom, % 237.78/30.52 domain(X3) = codomain(X4) | ~there_exists(compose(X3,X4))). % 237.78/30.52 cnf(a1, assumption, % 237.78/30.52 codomain(X1) = codomain(X4)). % 237.78/30.52 cnf(c7, plain, % 237.78/30.52 X2 != domain(b), % 237.78/30.52 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 237.78/30.52 cnf(c8, plain, % 237.78/30.52 ~there_exists(compose(X3,X4)), % 237.78/30.52 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 237.78/30.52 cnf(c9, plain, % 237.78/30.52 X5 != domain(X3) | X2 != X5, % 237.78/30.52 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 237.78/30.52 % 237.78/30.52 cnf(a2, assumption, % 237.78/30.52 X5 = domain(X3)). % 237.78/30.52 cnf(c10, plain, % 237.78/30.52 X2 != X5, % 237.78/30.52 inference(reflexivity, [assumptions([a2])], [c9])). % 237.78/30.52 % 237.78/30.52 cnf(a3, assumption, % 237.78/30.52 X2 = X5). % 237.78/30.52 cnf(c11, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(reflexivity, [assumptions([a3])], [c10])). % 237.78/30.52 % 237.78/30.52 cnf(c12, axiom, % 237.78/30.52 there_exists(X6) | ~there_exists(codomain(X6))). % 237.78/30.52 cnf(a4, assumption, % 237.78/30.52 compose(X3,X4) = X6). % 237.78/30.52 cnf(c13, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(strict_predicate_extension, [assumptions([a4])], [c8, c12])). % 237.78/30.52 cnf(c14, plain, % 237.78/30.52 ~there_exists(codomain(X6)), % 237.78/30.52 inference(strict_predicate_extension, [assumptions([a4])], [c8, c12])). % 237.78/30.52 % 237.78/30.52 cnf(c15, axiom, % 237.78/30.52 domain(X7) = codomain(X8) | ~there_exists(compose(X7,X8))). % 237.78/30.52 cnf(a5, assumption, % 237.78/30.52 codomain(X6) = codomain(X8)). % 237.78/30.52 cnf(c16, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(strict_function_extension, [assumptions([a5])], [c14, c15])). % 237.78/30.52 cnf(c17, plain, % 237.78/30.52 ~there_exists(compose(X7,X8)), % 237.78/30.52 inference(strict_function_extension, [assumptions([a5])], [c14, c15])). % 237.78/30.52 cnf(c18, plain, % 237.78/30.52 X9 != domain(X7) | ~there_exists(X9), % 237.78/30.52 inference(strict_function_extension, [assumptions([a5])], [c14, c15])). % 237.78/30.52 % 237.78/30.52 cnf(a6, assumption, % 237.78/30.52 X9 = domain(X7)). % 237.78/30.52 cnf(c19, plain, % 237.78/30.52 ~there_exists(X9), % 237.78/30.52 inference(reflexivity, [assumptions([a6])], [c18])). % 237.78/30.52 % 237.78/30.52 cnf(c20, axiom, % 237.78/30.52 there_exists(domain(X10)) | ~there_exists(compose(X10,X11))). % 237.78/30.52 cnf(a7, assumption, % 237.78/30.52 X9 = domain(X10)). % 237.78/30.52 cnf(c21, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(strict_predicate_extension, [assumptions([a7])], [c19, c20])). % 237.78/30.52 cnf(c22, plain, % 237.78/30.52 ~there_exists(compose(X10,X11)), % 237.78/30.52 inference(strict_predicate_extension, [assumptions([a7])], [c19, c20])). % 237.78/30.52 % 237.78/30.52 cnf(c23, axiom, % 237.78/30.52 compose(X12,compose(X13,X14)) = compose(compose(X12,X13),X14)). % 237.78/30.52 cnf(a8, assumption, % 237.78/30.52 compose(X10,X11) = compose(X12,compose(X13,X14))). % 237.78/30.52 cnf(c24, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(strict_function_extension, [assumptions([a8])], [c22, c23])). % 237.78/30.52 cnf(c25, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(strict_function_extension, [assumptions([a8])], [c22, c23])). % 237.78/30.52 cnf(c26, plain, % 237.78/30.52 X15 != compose(compose(X12,X13),X14) | ~there_exists(X15), % 237.78/30.52 inference(strict_function_extension, [assumptions([a8])], [c22, c23])). % 237.78/30.52 % 237.78/30.52 cnf(c27, axiom, % 237.78/30.52 compose(X16,domain(X16)) = X16). % 237.78/30.52 cnf(a9, assumption, % 237.78/30.52 compose(compose(X12,X13),X14) = compose(X16,domain(X16))). % 237.78/30.52 cnf(c28, plain, % 237.78/30.52 ~there_exists(X15), % 237.78/30.52 inference(strict_function_extension, [assumptions([a9])], [c26, c27])). % 237.78/30.52 cnf(c29, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(strict_function_extension, [assumptions([a9])], [c26, c27])). % 237.78/30.52 cnf(c30, plain, % 237.78/30.52 X17 != X16 | X15 != X17, % 237.78/30.52 inference(strict_function_extension, [assumptions([a9])], [c26, c27])). % 237.78/30.52 % 237.78/30.52 cnf(a10, assumption, % 237.78/30.52 X17 = X16). % 237.78/30.52 cnf(c31, plain, % 237.78/30.52 X15 != X17, % 237.78/30.52 inference(reflexivity, [assumptions([a10])], [c30])). % 237.78/30.52 % 237.78/30.52 cnf(a11, assumption, % 237.78/30.52 X15 = X17). % 237.78/30.52 cnf(c32, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(reflexivity, [assumptions([a11])], [c31])). % 237.78/30.52 % 237.78/30.52 cnf(c33, axiom, % 237.78/30.52 there_exists(compose(a,b))). % 237.78/30.52 cnf(a12, assumption, % 237.78/30.52 X15 = compose(a,b)). % 237.78/30.52 cnf(c34, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(strict_predicate_extension, [assumptions([a12])], [c28, c33])). % 237.78/30.52 cnf(c35, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(strict_predicate_extension, [assumptions([a12])], [c28, c33])). % 237.78/30.52 % 237.78/30.52 cnf(c36, plain, % 237.78/30.52 there_exists(compose(X10,X11))). % 237.78/30.52 cnf(a13, assumption, % 237.78/30.52 compose(X7,X8) = compose(X10,X11)). % 237.78/30.52 cnf(c37, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(predicate_reduction, [assumptions([a13])], [c17, c36])). % 237.78/30.52 % 237.78/30.52 cnf(a14, assumption, % 237.78/30.52 X2 = domain(b)). % 237.78/30.52 cnf(c38, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(reflexivity, [assumptions([a14])], [c7])). % 237.78/30.52 % 237.78/30.52 cnf(c39, plain, % 237.78/30.52 X15 = compose(compose(X12,X13),X14)). % 237.78/30.52 cnf(a15, assumption, % 237.78/30.52 compose(X0,X1) = compose(compose(X12,X13),X14)). % 237.78/30.52 cnf(c40, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(equality_reduction, [assumptions([a15])], [c4, c39])). % 237.78/30.52 cnf(c41, plain, % 237.78/30.52 ~there_exists(X15), % 237.78/30.52 inference(equality_reduction, [assumptions([a15])], [c4, c39])). % 237.78/30.52 % 237.78/30.52 cnf(c42, plain, % 237.78/30.52 there_exists(X15)). % 237.78/30.52 cnf(a16, assumption, % 237.78/30.52 X15 = X15). % 237.78/30.52 cnf(c43, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(predicate_reduction, [assumptions([a16])], [c41, c42])). % 237.78/30.52 % 237.78/30.52 cnf(c44, plain, % 237.78/30.52 $false, % 237.78/30.52 inference(constraint_solving, [ % 237.78/30.52 bind(X0, compose(a,b)), % 237.78/30.52 bind(X1, domain(X16)), % 237.78/30.52 bind(X2, domain(X3)), % 237.78/30.52 bind(X3, b), % 237.78/30.52 bind(X4, domain(X16)), % 237.78/30.52 bind(X5, domain(X3)), % 237.78/30.52 bind(X6, compose(X3,X4)), % 237.78/30.52 bind(X7, a), % 237.78/30.52 bind(X8, compose(X3,X4)), % 237.78/30.52 bind(X9, domain(X7)), % 237.78/30.52 bind(X10, a), % 237.78/30.52 bind(X11, compose(X13,X14)), % 237.78/30.52 bind(X12, a), % 237.78/30.52 bind(X13, b), % 237.78/30.52 bind(X14, domain(X16)), % 237.78/30.52 bind(X15, compose(X12,X13)), % 237.78/30.52 bind(X16, compose(X12,X13)), % 237.78/30.52 bind(X17, compose(X12,X13)) % 237.78/30.52 ], % 237.78/30.52 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16])). % 237.78/30.52 % 237.78/30.52 % SZS output end IncompleteProof %------------------------------------------------------------------------------