%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : CAT018-1 : 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 00:03:29 EDT 2022 % Result : Unsatisfiable 2.06s 0.60s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.12 % Problem : CAT018-1 : TPTP v8.1.0. Released v1.0.0. % 0.09/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n017.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 May 29 16:04:39 EDT 2022 % 0.12/0.34 % CPUTime : % 2.06/0.60 % SZS status Unsatisfiable % 2.06/0.60 % SZS output begin IncompleteProof % 2.06/0.60 cnf(c0, axiom, % 2.06/0.60 ~defined(a,compose(b,c))). % 2.06/0.60 cnf(c1, plain, % 2.06/0.60 ~defined(a,compose(b,c)), % 2.06/0.60 inference(start, [], [c0])). % 2.06/0.60 % 2.06/0.60 cnf(c2, axiom, % 2.06/0.60 defined(X0,X1) | ~identity_map(X2) | ~defined(X2,X1) | ~defined(X0,X2)). % 2.06/0.60 cnf(a0, assumption, % 2.06/0.60 a = X0). % 2.06/0.60 cnf(a1, assumption, % 2.06/0.60 compose(b,c) = X1). % 2.06/0.60 cnf(c3, plain, % 2.06/0.60 $false, % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 2.06/0.60 cnf(c4, plain, % 2.06/0.60 ~identity_map(X2) | ~defined(X2,X1) | ~defined(X0,X2), % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 2.06/0.60 % 2.06/0.60 cnf(c5, axiom, % 2.06/0.60 identity_map(codomain(X3))). % 2.06/0.60 cnf(a2, assumption, % 2.06/0.60 X2 = codomain(X3)). % 2.06/0.60 cnf(c6, plain, % 2.06/0.60 ~defined(X2,X1) | ~defined(X0,X2), % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a2])], [c4, c5])). % 2.06/0.60 cnf(c7, plain, % 2.06/0.60 $false, % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a2])], [c4, c5])). % 2.06/0.60 % 2.06/0.60 cnf(c8, axiom, % 2.06/0.60 defined(X4,X5) | ~defined(X6,X7) | ~product(X8,X7,X5) | ~product(X4,X8,X6)). % 2.06/0.60 cnf(a3, assumption, % 2.06/0.60 X2 = X4). % 2.06/0.60 cnf(a4, assumption, % 2.06/0.60 X1 = X5). % 2.06/0.60 cnf(c9, plain, % 2.06/0.60 ~defined(X0,X2), % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a3, a4])], [c6, c8])). % 2.06/0.60 cnf(c10, plain, % 2.06/0.60 ~defined(X6,X7) | ~product(X8,X7,X5) | ~product(X4,X8,X6), % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a3, a4])], [c6, c8])). % 2.06/0.60 % 2.06/0.60 cnf(c11, axiom, % 2.06/0.60 defined(b,c)). % 2.06/0.60 cnf(a5, assumption, % 2.06/0.60 X6 = b). % 2.06/0.60 cnf(a6, assumption, % 2.06/0.60 X7 = c). % 2.06/0.60 cnf(c12, plain, % 2.06/0.60 ~product(X8,X7,X5) | ~product(X4,X8,X6), % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])). % 2.06/0.60 cnf(c13, plain, % 2.06/0.60 $false, % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])). % 2.06/0.60 % 2.06/0.60 cnf(c14, axiom, % 2.06/0.60 product(X9,X10,compose(X9,X10)) | ~defined(X9,X10)). % 2.06/0.60 cnf(a7, assumption, % 2.06/0.60 X8 = X9). % 2.06/0.60 cnf(a8, assumption, % 2.06/0.60 X7 = X10). % 2.06/0.60 cnf(a9, assumption, % 2.06/0.60 X5 = compose(X9,X10)). % 2.06/0.60 cnf(c15, plain, % 2.06/0.60 ~product(X4,X8,X6), % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c12, c14])). % 2.06/0.60 cnf(c16, plain, % 2.06/0.60 ~defined(X9,X10), % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c12, c14])). % 2.06/0.60 % 2.06/0.60 cnf(c17, plain, % 2.06/0.60 defined(X6,X7)). % 2.06/0.60 cnf(a10, assumption, % 2.06/0.60 X9 = X6). % 2.06/0.60 cnf(a11, assumption, % 2.06/0.60 X10 = X7). % 2.06/0.60 cnf(c18, plain, % 2.06/0.60 $false, % 2.06/0.60 inference(predicate_reduction, [assumptions([a10, a11])], [c16, c17])). % 2.06/0.60 % 2.06/0.60 cnf(c19, axiom, % 2.06/0.60 product(codomain(X11),X11,X11)). % 2.06/0.60 cnf(a12, assumption, % 2.06/0.60 X4 = codomain(X11)). % 2.06/0.60 cnf(a13, assumption, % 2.06/0.60 X8 = X11). % 2.06/0.60 cnf(a14, assumption, % 2.06/0.60 X6 = X11). % 2.06/0.60 cnf(c20, plain, % 2.06/0.60 $false, % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c19])). % 2.06/0.60 cnf(c21, plain, % 2.06/0.60 $false, % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c19])). % 2.06/0.60 % 2.06/0.60 cnf(c22, axiom, % 2.06/0.60 defined(X12,X13) | ~defined(X12,X14) | ~product(X13,X15,X14)). % 2.06/0.60 cnf(a15, assumption, % 2.06/0.60 X0 = X12). % 2.06/0.60 cnf(a16, assumption, % 2.06/0.60 X2 = X13). % 2.06/0.60 cnf(c23, plain, % 2.06/0.60 $false, % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a15, a16])], [c9, c22])). % 2.06/0.60 cnf(c24, plain, % 2.06/0.60 ~defined(X12,X14) | ~product(X13,X15,X14), % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a15, a16])], [c9, c22])). % 2.06/0.60 % 2.06/0.60 cnf(c25, axiom, % 2.06/0.60 defined(a,b)). % 2.06/0.60 cnf(a17, assumption, % 2.06/0.60 X12 = a). % 2.06/0.60 cnf(a18, assumption, % 2.06/0.60 X14 = b). % 2.06/0.60 cnf(c26, plain, % 2.06/0.60 ~product(X13,X15,X14), % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a17, a18])], [c24, c25])). % 2.06/0.60 cnf(c27, plain, % 2.06/0.60 $false, % 2.06/0.60 inference(strict_predicate_extension, [assumptions([a17, a18])], [c24, c25])). % 2.06/0.60 % 2.06/0.60 cnf(c28, plain, % 2.06/0.60 product(X4,X8,X6)). % 2.06/0.60 cnf(a19, assumption, % 2.06/0.60 X13 = X4). % 2.06/0.60 cnf(a20, assumption, % 2.06/0.60 X15 = X8). % 2.06/0.60 cnf(a21, assumption, % 2.06/0.60 X14 = X6). % 2.06/0.60 cnf(c29, plain, % 2.06/0.60 $false, % 2.06/0.60 inference(predicate_reduction, [assumptions([a19, a20, a21])], [c26, c28])). % 2.06/0.60 % 2.06/0.60 cnf(c30, plain, % 2.06/0.60 $false, % 2.06/0.60 inference(constraint_solving, [ % 2.06/0.60 bind(X0, a), % 2.06/0.60 bind(X1, compose(b,c)), % 2.06/0.60 bind(X2, codomain(X3)), % 2.06/0.60 bind(X3, b), % 2.06/0.60 bind(X4, codomain(X3)), % 2.06/0.60 bind(X5, compose(b,c)), % 2.06/0.60 bind(X6, b), % 2.06/0.60 bind(X7, c), % 2.06/0.60 bind(X8, b), % 2.06/0.60 bind(X9, b), % 2.06/0.60 bind(X10, c), % 2.06/0.60 bind(X11, b), % 2.06/0.60 bind(X12, a), % 2.06/0.60 bind(X13, codomain(X3)), % 2.06/0.60 bind(X14, b), % 2.06/0.60 bind(X15, b) % 2.06/0.60 ], % 2.06/0.60 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])). % 2.06/0.60 % 2.06/0.60 % SZS output end IncompleteProof %------------------------------------------------------------------------------