%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP004-2 : 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 : n029.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 10:08:31 EDT 2022 % Result : Unsatisfiable 0.20s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP004-2 : TPTP v8.1.0. Released v1.0.0. % 0.13/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.34 % Computer : n029.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 : Mon Jun 13 06:47:55 EDT 2022 % 0.20/0.34 % CPUTime : % 0.20/0.35 % SZS status Unsatisfiable % 0.20/0.35 % SZS output begin IncompleteProof % 0.20/0.35 cnf(c0, axiom, % 0.20/0.35 ~product(a,inverse(a),identity)). % 0.20/0.35 cnf(c1, plain, % 0.20/0.35 ~product(a,inverse(a),identity), % 0.20/0.35 inference(start, [], [c0])). % 0.20/0.35 % 0.20/0.35 cnf(c2, axiom, % 0.20/0.35 product(X0,X1,X2) | ~product(X3,X4,X2) | ~product(X5,X1,X4) | ~product(X3,X5,X0)). % 0.20/0.35 cnf(a0, assumption, % 0.20/0.35 a = X0). % 0.20/0.35 cnf(a1, assumption, % 0.20/0.35 inverse(a) = X1). % 0.20/0.35 cnf(a2, assumption, % 0.20/0.35 identity = X2). % 0.20/0.35 cnf(c3, plain, % 0.20/0.35 $false, % 0.20/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.20/0.35 cnf(c4, plain, % 0.20/0.35 ~product(X3,X4,X2) | ~product(X5,X1,X4) | ~product(X3,X5,X0), % 0.20/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.20/0.35 % 0.20/0.35 cnf(c5, axiom, % 0.20/0.35 product(inverse(X6),X6,identity)). % 0.20/0.35 cnf(a3, assumption, % 0.20/0.35 X3 = inverse(X6)). % 0.20/0.35 cnf(a4, assumption, % 0.20/0.35 X4 = X6). % 0.20/0.35 cnf(a5, assumption, % 0.20/0.35 X2 = identity). % 0.20/0.35 cnf(c6, plain, % 0.20/0.35 ~product(X5,X1,X4) | ~product(X3,X5,X0), % 0.20/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.20/0.35 cnf(c7, plain, % 0.20/0.35 $false, % 0.20/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.20/0.35 % 0.20/0.35 cnf(c8, axiom, % 0.20/0.35 product(identity,X7,X7)). % 0.20/0.35 cnf(a6, assumption, % 0.20/0.35 X5 = identity). % 0.20/0.35 cnf(a7, assumption, % 0.20/0.35 X1 = X7). % 0.20/0.35 cnf(a8, assumption, % 0.20/0.35 X4 = X7). % 0.20/0.35 cnf(c9, plain, % 0.20/0.35 ~product(X3,X5,X0), % 0.20/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])). % 0.20/0.35 cnf(c10, plain, % 0.20/0.35 $false, % 0.20/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])). % 0.20/0.35 % 0.20/0.35 cnf(c11, axiom, % 0.20/0.35 product(X8,X9,X10) | ~product(X11,X12,X10) | ~product(X13,X12,X9) | ~product(X8,X13,X11)). % 0.20/0.35 cnf(a9, assumption, % 0.20/0.35 X3 = X8). % 0.20/0.35 cnf(a10, assumption, % 0.20/0.35 X5 = X9). % 0.20/0.35 cnf(a11, assumption, % 0.20/0.35 X0 = X10). % 0.20/0.35 cnf(c12, plain, % 0.20/0.35 $false, % 0.20/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])). % 0.20/0.35 cnf(c13, plain, % 0.20/0.35 ~product(X11,X12,X10) | ~product(X13,X12,X9) | ~product(X8,X13,X11), % 0.20/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])). % 0.20/0.35 % 0.20/0.35 cnf(c14, axiom, % 0.20/0.35 product(identity,X14,X14)). % 0.20/0.35 cnf(a12, assumption, % 0.20/0.35 X11 = identity). % 0.20/0.35 cnf(a13, assumption, % 0.20/0.35 X12 = X14). % 0.20/0.35 cnf(a14, assumption, % 0.20/0.35 X10 = X14). % 0.20/0.35 cnf(c15, plain, % 0.20/0.35 ~product(X13,X12,X9) | ~product(X8,X13,X11), % 0.20/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])). % 0.20/0.35 cnf(c16, plain, % 0.20/0.35 $false, % 0.20/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])). % 0.20/0.35 % 0.20/0.35 cnf(c17, axiom, % 0.20/0.35 product(inverse(X15),X15,identity)). % 0.20/0.35 cnf(a15, assumption, % 0.20/0.35 X13 = inverse(X15)). % 0.20/0.35 cnf(a16, assumption, % 0.20/0.35 X12 = X15). % 0.20/0.35 cnf(a17, assumption, % 0.20/0.35 X9 = identity). % 0.20/0.35 cnf(c18, plain, % 0.20/0.35 ~product(X8,X13,X11), % 0.20/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])). % 0.20/0.35 cnf(c19, plain, % 0.20/0.35 $false, % 0.20/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])). % 0.20/0.35 % 0.20/0.35 cnf(c20, plain, % 0.20/0.35 product(X3,X4,X2)). % 0.20/0.35 cnf(a18, assumption, % 0.20/0.35 X8 = X3). % 0.20/0.35 cnf(a19, assumption, % 0.20/0.35 X13 = X4). % 0.20/0.35 cnf(a20, assumption, % 0.20/0.35 X11 = X2). % 0.20/0.35 cnf(c21, plain, % 0.20/0.35 $false, % 0.20/0.35 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c18, c20])). % 0.20/0.35 % 0.20/0.35 cnf(c22, plain, % 0.20/0.35 $false, % 0.20/0.35 inference(constraint_solving, [ % 0.20/0.35 bind(X0, a), % 0.20/0.35 bind(X1, inverse(a)), % 0.20/0.35 bind(X2, identity), % 0.20/0.35 bind(X3, inverse(X6)), % 0.20/0.35 bind(X4, inverse(a)), % 0.20/0.35 bind(X5, identity), % 0.20/0.35 bind(X6, inverse(a)), % 0.20/0.35 bind(X7, inverse(a)), % 0.20/0.35 bind(X8, inverse(X6)), % 0.20/0.35 bind(X9, identity), % 0.20/0.35 bind(X10, a), % 0.20/0.35 bind(X11, identity), % 0.20/0.35 bind(X12, a), % 0.20/0.35 bind(X13, inverse(X15)), % 0.20/0.35 bind(X14, a), % 0.20/0.35 bind(X15, a) % 0.20/0.35 ], % 0.20/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])). % 0.20/0.35 % 0.20/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------