%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP003-2 : 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 : n006.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 0.21s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP003-2 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n006.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jun 14 08:37:41 EDT 2022 % 0.13/0.34 % CPUTime : % 0.21/0.35 % SZS status Unsatisfiable % 0.21/0.35 % SZS output begin IncompleteProof % 0.21/0.35 cnf(c0, axiom, % 0.21/0.35 ~product(a,identity,a)). % 0.21/0.35 cnf(c1, plain, % 0.21/0.35 ~product(a,identity,a), % 0.21/0.35 inference(start, [], [c0])). % 0.21/0.35 % 0.21/0.35 cnf(c2, axiom, % 0.21/0.35 product(X0,X1,X2) | ~product(X3,X4,X2) | ~product(X5,X1,X4) | ~product(X3,X5,X0)). % 0.21/0.35 cnf(a0, assumption, % 0.21/0.35 a = X0). % 0.21/0.35 cnf(a1, assumption, % 0.21/0.35 identity = X1). % 0.21/0.35 cnf(a2, assumption, % 0.21/0.35 a = X2). % 0.21/0.35 cnf(c3, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.21/0.35 cnf(c4, plain, % 0.21/0.35 ~product(X3,X4,X2) | ~product(X5,X1,X4) | ~product(X3,X5,X0), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.21/0.35 % 0.21/0.35 cnf(c5, axiom, % 0.21/0.35 product(X6,X7,X8) | ~product(X9,X10,X8) | ~product(X11,X10,X7) | ~product(X6,X11,X9)). % 0.21/0.35 cnf(a3, assumption, % 0.21/0.35 X3 = X6). % 0.21/0.35 cnf(a4, assumption, % 0.21/0.35 X4 = X7). % 0.21/0.35 cnf(a5, assumption, % 0.21/0.35 X2 = X8). % 0.21/0.35 cnf(c6, plain, % 0.21/0.35 ~product(X5,X1,X4) | ~product(X3,X5,X0), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.21/0.35 cnf(c7, plain, % 0.21/0.35 ~product(X9,X10,X8) | ~product(X11,X10,X7) | ~product(X6,X11,X9), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.21/0.35 % 0.21/0.35 cnf(c8, axiom, % 0.21/0.35 product(identity,X12,X12)). % 0.21/0.35 cnf(a6, assumption, % 0.21/0.35 X9 = identity). % 0.21/0.35 cnf(a7, assumption, % 0.21/0.35 X10 = X12). % 0.21/0.35 cnf(a8, assumption, % 0.21/0.35 X8 = X12). % 0.21/0.35 cnf(c9, plain, % 0.21/0.35 ~product(X11,X10,X7) | ~product(X6,X11,X9), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.21/0.35 cnf(c10, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.21/0.35 % 0.21/0.35 cnf(c11, axiom, % 0.21/0.35 product(inverse(X13),X13,identity)). % 0.21/0.35 cnf(a9, assumption, % 0.21/0.35 X11 = inverse(X13)). % 0.21/0.35 cnf(a10, assumption, % 0.21/0.35 X10 = X13). % 0.21/0.35 cnf(a11, assumption, % 0.21/0.35 X7 = identity). % 0.21/0.35 cnf(c12, plain, % 0.21/0.35 ~product(X6,X11,X9), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])). % 0.21/0.35 cnf(c13, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])). % 0.21/0.35 % 0.21/0.35 cnf(c14, axiom, % 0.21/0.35 product(inverse(X14),X14,identity)). % 0.21/0.35 cnf(a12, assumption, % 0.21/0.35 X6 = inverse(X14)). % 0.21/0.35 cnf(a13, assumption, % 0.21/0.35 X11 = X14). % 0.21/0.35 cnf(a14, assumption, % 0.21/0.35 X9 = identity). % 0.21/0.35 cnf(c15, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c12, c14])). % 0.21/0.35 cnf(c16, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c12, c14])). % 0.21/0.35 % 0.21/0.35 cnf(c17, axiom, % 0.21/0.35 product(identity,X15,X15)). % 0.21/0.35 cnf(a15, assumption, % 0.21/0.35 X5 = identity). % 0.21/0.35 cnf(a16, assumption, % 0.21/0.35 X1 = X15). % 0.21/0.35 cnf(a17, assumption, % 0.21/0.35 X4 = X15). % 0.21/0.35 cnf(c18, plain, % 0.21/0.35 ~product(X3,X5,X0), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c6, c17])). % 0.21/0.35 cnf(c19, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c6, c17])). % 0.21/0.35 % 0.21/0.35 cnf(c20, plain, % 0.21/0.35 product(X3,X4,X2)). % 0.21/0.35 cnf(a18, assumption, % 0.21/0.35 X3 = X3). % 0.21/0.35 cnf(a19, assumption, % 0.21/0.35 X5 = X4). % 0.21/0.35 cnf(a20, assumption, % 0.21/0.35 X0 = X2). % 0.21/0.35 cnf(c21, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c18, c20])). % 0.21/0.35 % 0.21/0.35 cnf(c22, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(constraint_solving, [ % 0.21/0.35 bind(X0, a), % 0.21/0.35 bind(X1, identity), % 0.21/0.35 bind(X2, a), % 0.21/0.35 bind(X3, inverse(X14)), % 0.21/0.35 bind(X4, identity), % 0.21/0.35 bind(X5, identity), % 0.21/0.35 bind(X6, inverse(X14)), % 0.21/0.35 bind(X7, identity), % 0.21/0.35 bind(X8, a), % 0.21/0.35 bind(X9, identity), % 0.21/0.35 bind(X10, a), % 0.21/0.35 bind(X11, inverse(X13)), % 0.21/0.35 bind(X12, a), % 0.21/0.35 bind(X13, a), % 0.21/0.35 bind(X14, inverse(X13)), % 0.21/0.35 bind(X15, identity) % 0.21/0.35 ], % 0.21/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])). % 0.21/0.35 % 0.21/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------