%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP008-1 : 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 : n032.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 : Sat Jul 16 10:08:32 EDT 2022 % Result : Unsatisfiable 0.16s 0.33s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.10 % Problem : GRP008-1 : TPTP v8.1.0. Released v1.0.0. % 0.05/0.10 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.10/0.30 % Computer : n032.cluster.edu % 0.10/0.30 % Model : x86_64 x86_64 % 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.30 % Memory : 8042.1875MB % 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.30 % CPULimit : 300 % 0.10/0.30 % WCLimit : 600 % 0.10/0.30 % DateTime : Mon Jun 13 17:54:57 EDT 2022 % 0.10/0.30 % CPUTime : % 0.16/0.33 % SZS status Unsatisfiable % 0.16/0.33 % SZS output begin IncompleteProof % 0.16/0.33 cnf(c0, axiom, % 0.16/0.33 ~q(identity)). % 0.16/0.33 cnf(c1, plain, % 0.16/0.33 ~q(identity), % 0.16/0.33 inference(start, [], [c0])). % 0.16/0.33 % 0.16/0.33 cnf(c2, axiom, % 0.16/0.33 q(X0) | product(X0,j(X0),h(X0)) | product(j(X0),X0,h(X0))). % 0.16/0.33 cnf(a0, assumption, % 0.16/0.33 identity = X0). % 0.16/0.33 cnf(c3, plain, % 0.16/0.33 $false, % 0.16/0.33 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.16/0.33 cnf(c4, plain, % 0.16/0.33 product(X0,j(X0),h(X0)) | product(j(X0),X0,h(X0)), % 0.16/0.33 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.16/0.33 % 0.16/0.33 cnf(c5, axiom, % 0.16/0.33 X1 = X2 | ~product(X3,X4,X2) | ~product(X3,X4,X1)). % 0.16/0.33 cnf(a1, assumption, % 0.16/0.33 X0 = X3). % 0.16/0.33 cnf(a2, assumption, % 0.16/0.33 j(X0) = X4). % 0.16/0.33 cnf(a3, assumption, % 0.16/0.33 h(X0) = X1). % 0.16/0.33 cnf(c6, plain, % 0.16/0.33 product(j(X0),X0,h(X0)), % 0.16/0.33 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])). % 0.16/0.33 cnf(c7, plain, % 0.16/0.33 X1 = X2 | ~product(X3,X4,X2), % 0.16/0.33 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])). % 0.16/0.33 % 0.16/0.33 cnf(c8, axiom, % 0.16/0.33 q(X5) | ~product(X5,j(X5),h(X5)) | ~product(j(X5),X5,h(X5))). % 0.16/0.33 cnf(a4, assumption, % 0.16/0.33 h(X5) = X1). % 0.16/0.33 cnf(c9, plain, % 0.16/0.33 ~product(X3,X4,X2), % 0.16/0.33 inference(strict_subterm_extension, [assumptions([a4])], [c7, c8])). % 0.16/0.33 cnf(c10, plain, % 0.16/0.33 q(X5) | ~product(X5,j(X5),h(X5)), % 0.16/0.33 inference(strict_subterm_extension, [assumptions([a4])], [c7, c8])). % 0.16/0.33 cnf(c11, plain, % 0.16/0.33 ~product(j(X5),X5,X2), % 0.16/0.33 inference(strict_subterm_extension, [assumptions([a4])], [c7, c8])). % 0.16/0.33 % 0.16/0.33 cnf(c12, axiom, % 0.16/0.33 product(X6,identity,X6)). % 0.16/0.33 cnf(a5, assumption, % 0.16/0.33 j(X5) = X6). % 0.16/0.33 cnf(a6, assumption, % 0.16/0.33 X5 = identity). % 0.16/0.33 cnf(a7, assumption, % 0.16/0.33 X2 = X6). % 0.16/0.33 cnf(c13, plain, % 0.16/0.33 $false, % 0.16/0.33 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c11, c12])). % 0.16/0.33 cnf(c14, plain, % 0.16/0.33 $false, % 0.16/0.33 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c11, c12])). % 0.16/0.33 % 0.16/0.33 cnf(c15, plain, % 0.16/0.33 ~q(identity)). % 0.16/0.33 cnf(a8, assumption, % 0.16/0.33 X5 = identity). % 0.16/0.33 cnf(c16, plain, % 0.16/0.33 ~product(X5,j(X5),h(X5)), % 0.16/0.33 inference(predicate_reduction, [assumptions([a8])], [c10, c15])). % 0.16/0.33 % 0.16/0.33 cnf(c17, plain, % 0.16/0.33 product(X0,j(X0),h(X0))). % 0.16/0.33 cnf(a9, assumption, % 0.16/0.33 X5 = X0). % 0.16/0.33 cnf(a10, assumption, % 0.16/0.33 j(X5) = j(X0)). % 0.16/0.33 cnf(a11, assumption, % 0.16/0.33 h(X5) = h(X0)). % 0.16/0.33 cnf(c18, plain, % 0.16/0.33 $false, % 0.16/0.33 inference(predicate_reduction, [assumptions([a9, a10, a11])], [c16, c17])). % 0.16/0.33 % 0.16/0.33 cnf(c19, axiom, % 0.16/0.33 product(identity,X7,X7)). % 0.16/0.33 cnf(a12, assumption, % 0.16/0.33 X3 = identity). % 0.16/0.33 cnf(a13, assumption, % 0.16/0.33 X4 = X7). % 0.16/0.33 cnf(a14, assumption, % 0.16/0.33 X2 = X7). % 0.16/0.33 cnf(c20, plain, % 0.16/0.33 $false, % 0.16/0.33 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c19])). % 0.16/0.33 cnf(c21, plain, % 0.16/0.33 $false, % 0.16/0.33 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c19])). % 0.16/0.33 % 0.16/0.33 cnf(c22, axiom, % 0.16/0.33 X8 = X9 | ~product(X10,X11,X9) | ~product(X10,X11,X8)). % 0.16/0.33 cnf(a15, assumption, % 0.16/0.33 j(X0) = X10). % 0.16/0.33 cnf(a16, assumption, % 0.16/0.33 X0 = X11). % 0.16/0.33 cnf(a17, assumption, % 0.16/0.33 h(X0) = X9). % 0.16/0.33 cnf(c23, plain, % 0.16/0.33 $false, % 0.16/0.33 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c6, c22])). % 0.16/0.33 cnf(c24, plain, % 0.16/0.33 X8 = X9 | ~product(X10,X11,X8), % 0.16/0.33 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c6, c22])). % 0.16/0.33 % 0.16/0.33 cnf(c25, plain, % 0.16/0.33 ~product(X0,j(X0),h(X0))). % 0.16/0.33 cnf(a18, assumption, % 0.16/0.33 h(X0) = X9). % 0.16/0.33 cnf(c26, plain, % 0.16/0.33 ~product(X10,X11,X8), % 0.16/0.33 inference(subterm_reduction, [assumptions([a18])], [c24, c25])). % 0.16/0.33 cnf(c27, plain, % 0.16/0.33 ~product(X0,j(X0),X8), % 0.16/0.33 inference(subterm_reduction, [assumptions([a18])], [c24, c25])). % 0.16/0.33 % 0.16/0.33 cnf(c28, plain, % 0.16/0.33 product(X3,X4,X2)). % 0.16/0.33 cnf(a19, assumption, % 0.16/0.33 X0 = X3). % 0.16/0.33 cnf(a20, assumption, % 0.16/0.33 j(X0) = X4). % 0.16/0.33 cnf(a21, assumption, % 0.16/0.33 X8 = X2). % 0.16/0.33 cnf(c29, plain, % 0.16/0.33 $false, % 0.16/0.33 inference(predicate_reduction, [assumptions([a19, a20, a21])], [c27, c28])). % 0.16/0.33 % 0.16/0.33 cnf(c30, plain, % 0.16/0.33 product(j(X5),X5,X2)). % 0.16/0.33 cnf(a22, assumption, % 0.16/0.33 X10 = j(X5)). % 0.16/0.33 cnf(a23, assumption, % 0.16/0.33 X11 = X5). % 0.16/0.33 cnf(a24, assumption, % 0.16/0.33 X8 = X2). % 0.16/0.33 cnf(c31, plain, % 0.16/0.33 $false, % 0.16/0.33 inference(predicate_reduction, [assumptions([a22, a23, a24])], [c26, c30])). % 0.16/0.33 % 0.16/0.33 cnf(c32, plain, % 0.16/0.33 $false, % 0.16/0.33 inference(constraint_solving, [ % 0.16/0.33 bind(X0, identity), % 0.16/0.33 bind(X1, h(X0)), % 0.16/0.33 bind(X2, j(X5)), % 0.16/0.33 bind(X3, identity), % 0.16/0.33 bind(X4, j(X0)), % 0.16/0.33 bind(X5, identity), % 0.16/0.33 bind(X6, j(X5)), % 0.16/0.33 bind(X7, j(X0)), % 0.16/0.33 bind(X8, j(X5)), % 0.16/0.33 bind(X9, h(X0)), % 0.16/0.33 bind(X10, j(X0)), % 0.16/0.33 bind(X11, identity) % 0.16/0.33 ], % 0.16/0.33 [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])). % 0.16/0.33 % 0.16/0.33 % SZS output end IncompleteProof %------------------------------------------------------------------------------