%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP012+5 : TPTP v8.1.0. Released v3.1.0. % 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 10:08:34 EDT 2022 % Result : Theorem 5.86s 1.14s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : GRP012+5 : TPTP v8.1.0. Released v3.1.0. % 0.13/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.35 % Computer : n029.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Tue Jun 14 13:54:56 EDT 2022 % 0.13/0.35 % CPUTime : % 5.86/1.14 % SZS status Theorem % 5.86/1.14 % SZS output begin IncompleteProof % 5.86/1.14 cnf(c0, axiom, % 5.86/1.14 ~product(inverse(sK3),inverse(sK4),sK0)). % 5.86/1.14 cnf(c1, plain, % 5.86/1.14 ~product(inverse(sK3),inverse(sK4),sK0), % 5.86/1.14 inference(start, [], [c0])). % 5.86/1.14 % 5.86/1.14 cnf(c2, axiom, % 5.86/1.14 product(X0,X1,X2) | ~product(X3,X4,X2) | ~product(X5,X1,X4) | ~product(X3,X5,X0)). % 5.86/1.14 cnf(a0, assumption, % 5.86/1.14 inverse(sK3) = X0). % 5.86/1.14 cnf(a1, assumption, % 5.86/1.14 inverse(sK4) = X1). % 5.86/1.14 cnf(a2, assumption, % 5.86/1.14 sK0 = X2). % 5.86/1.14 cnf(c3, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 5.86/1.14 cnf(c4, plain, % 5.86/1.14 ~product(X3,X4,X2) | ~product(X5,X1,X4) | ~product(X3,X5,X0), % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 5.86/1.14 % 5.86/1.14 cnf(c5, axiom, % 5.86/1.14 product(sK0,X6,X6)). % 5.86/1.14 cnf(a3, assumption, % 5.86/1.14 X3 = sK0). % 5.86/1.14 cnf(a4, assumption, % 5.86/1.14 X4 = X6). % 5.86/1.14 cnf(a5, assumption, % 5.86/1.14 X2 = X6). % 5.86/1.14 cnf(c6, plain, % 5.86/1.14 ~product(X5,X1,X4) | ~product(X3,X5,X0), % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 5.86/1.14 cnf(c7, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 5.86/1.14 % 5.86/1.14 cnf(c8, axiom, % 5.86/1.14 product(X7,inverse(X7),sK0)). % 5.86/1.14 cnf(a6, assumption, % 5.86/1.14 X5 = X7). % 5.86/1.14 cnf(a7, assumption, % 5.86/1.14 X1 = inverse(X7)). % 5.86/1.14 cnf(a8, assumption, % 5.86/1.14 X4 = sK0). % 5.86/1.14 cnf(c9, plain, % 5.86/1.14 ~product(X3,X5,X0), % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])). % 5.86/1.14 cnf(c10, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])). % 5.86/1.14 % 5.86/1.14 cnf(c11, axiom, % 5.86/1.14 product(X8,X9,X10) | ~product(X11,X12,X10) | ~product(X13,X9,X12) | ~product(X11,X13,X8)). % 5.86/1.14 cnf(a9, assumption, % 5.86/1.14 X3 = X8). % 5.86/1.14 cnf(a10, assumption, % 5.86/1.14 X5 = X9). % 5.86/1.14 cnf(a11, assumption, % 5.86/1.14 X0 = X10). % 5.86/1.14 cnf(c12, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])). % 5.86/1.14 cnf(c13, plain, % 5.86/1.14 ~product(X11,X12,X10) | ~product(X13,X9,X12) | ~product(X11,X13,X8), % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])). % 5.86/1.14 % 5.86/1.14 cnf(c14, axiom, % 5.86/1.14 product(X14,sK0,X14)). % 5.86/1.14 cnf(a12, assumption, % 5.86/1.14 X11 = X14). % 5.86/1.14 cnf(a13, assumption, % 5.86/1.14 X12 = sK0). % 5.86/1.14 cnf(a14, assumption, % 5.86/1.14 X10 = X14). % 5.86/1.14 cnf(c15, plain, % 5.86/1.14 ~product(X13,X9,X12) | ~product(X11,X13,X8), % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])). % 5.86/1.14 cnf(c16, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])). % 5.86/1.14 % 5.86/1.14 cnf(c17, axiom, % 5.86/1.14 product(X15,X16,X17) | ~product(X18,X19,X17) | ~product(X20,X16,X19) | ~product(X18,X20,X15)). % 5.86/1.14 cnf(a15, assumption, % 5.86/1.14 X13 = X15). % 5.86/1.14 cnf(a16, assumption, % 5.86/1.14 X9 = X16). % 5.86/1.14 cnf(a17, assumption, % 5.86/1.14 X12 = X17). % 5.86/1.14 cnf(c18, plain, % 5.86/1.14 ~product(X11,X13,X8), % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])). % 5.86/1.14 cnf(c19, plain, % 5.86/1.14 ~product(X18,X19,X17) | ~product(X20,X16,X19) | ~product(X18,X20,X15), % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])). % 5.86/1.14 % 5.86/1.14 cnf(c20, axiom, % 5.86/1.14 product(inverse(X21),X21,sK0)). % 5.86/1.14 cnf(a18, assumption, % 5.86/1.14 X18 = inverse(X21)). % 5.86/1.14 cnf(a19, assumption, % 5.86/1.14 X19 = X21). % 5.86/1.14 cnf(a20, assumption, % 5.86/1.14 X17 = sK0). % 5.86/1.14 cnf(c21, plain, % 5.86/1.14 ~product(X20,X16,X19) | ~product(X18,X20,X15), % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])). % 5.86/1.14 cnf(c22, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])). % 5.86/1.14 % 5.86/1.14 cnf(c23, axiom, % 5.86/1.14 product(X22,X23,X24) | ~product(X25,X26,X24) | ~product(X27,X26,X23) | ~product(X22,X27,X25)). % 5.86/1.14 cnf(a21, assumption, % 5.86/1.14 X20 = X22). % 5.86/1.14 cnf(a22, assumption, % 5.86/1.14 X16 = X23). % 5.86/1.14 cnf(a23, assumption, % 5.86/1.14 X19 = X24). % 5.86/1.14 cnf(c24, plain, % 5.86/1.14 ~product(X18,X20,X15), % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c21, c23])). % 5.86/1.14 cnf(c25, plain, % 5.86/1.14 ~product(X25,X26,X24) | ~product(X27,X26,X23) | ~product(X22,X27,X25), % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c21, c23])). % 5.86/1.14 % 5.86/1.14 cnf(c26, axiom, % 5.86/1.14 product(sK0,X28,X28)). % 5.86/1.14 cnf(a24, assumption, % 5.86/1.14 X25 = sK0). % 5.86/1.14 cnf(a25, assumption, % 5.86/1.14 X26 = X28). % 5.86/1.14 cnf(a26, assumption, % 5.86/1.14 X24 = X28). % 5.86/1.14 cnf(c27, plain, % 5.86/1.14 ~product(X27,X26,X23) | ~product(X22,X27,X25), % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c25, c26])). % 5.86/1.14 cnf(c28, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c25, c26])). % 5.86/1.14 % 5.86/1.14 cnf(c29, axiom, % 5.86/1.14 product(sK2,sK1,sK4)). % 5.86/1.14 cnf(a27, assumption, % 5.86/1.14 X27 = sK2). % 5.86/1.14 cnf(a28, assumption, % 5.86/1.14 X26 = sK1). % 5.86/1.14 cnf(a29, assumption, % 5.86/1.14 X23 = sK4). % 5.86/1.14 cnf(c30, plain, % 5.86/1.14 ~product(X22,X27,X25), % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c27, c29])). % 5.86/1.14 cnf(c31, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c27, c29])). % 5.86/1.14 % 5.86/1.14 cnf(c32, axiom, % 5.86/1.14 product(inverse(X29),X29,sK0)). % 5.86/1.14 cnf(a30, assumption, % 5.86/1.14 X22 = inverse(X29)). % 5.86/1.14 cnf(a31, assumption, % 5.86/1.14 X27 = X29). % 5.86/1.14 cnf(a32, assumption, % 5.86/1.14 X25 = sK0). % 5.86/1.14 cnf(c33, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c30, c32])). % 5.86/1.14 cnf(c34, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c30, c32])). % 5.86/1.14 % 5.86/1.14 cnf(c35, axiom, % 5.86/1.14 product(inverse(sK1),inverse(sK2),sK3)). % 5.86/1.14 cnf(a33, assumption, % 5.86/1.14 X18 = inverse(sK1)). % 5.86/1.14 cnf(a34, assumption, % 5.86/1.14 X20 = inverse(sK2)). % 5.86/1.14 cnf(a35, assumption, % 5.86/1.14 X15 = sK3). % 5.86/1.14 cnf(c36, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c24, c35])). % 5.86/1.14 cnf(c37, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c24, c35])). % 5.86/1.14 % 5.86/1.14 cnf(c38, axiom, % 5.86/1.14 product(inverse(X30),X30,sK0)). % 5.86/1.14 cnf(a36, assumption, % 5.86/1.14 X11 = inverse(X30)). % 5.86/1.14 cnf(a37, assumption, % 5.86/1.14 X13 = X30). % 5.86/1.14 cnf(a38, assumption, % 5.86/1.14 X8 = sK0). % 5.86/1.14 cnf(c39, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a36, a37, a38])], [c18, c38])). % 5.86/1.14 cnf(c40, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(strict_predicate_extension, [assumptions([a36, a37, a38])], [c18, c38])). % 5.86/1.14 % 5.86/1.14 cnf(c41, plain, % 5.86/1.14 $false, % 5.86/1.14 inference(constraint_solving, [ % 5.86/1.14 bind(X0, inverse(sK3)), % 5.86/1.14 bind(X1, inverse(sK4)), % 5.86/1.14 bind(X2, sK0), % 5.86/1.14 bind(X3, sK0), % 5.86/1.14 bind(X4, sK0), % 5.86/1.14 bind(X5, sK4), % 5.86/1.14 bind(X6, sK0), % 5.86/1.14 bind(X7, sK4), % 5.86/1.14 bind(X8, sK0), % 5.86/1.14 bind(X9, sK4), % 5.86/1.14 bind(X10, inverse(sK3)), % 5.86/1.14 bind(X11, inverse(sK3)), % 5.86/1.14 bind(X12, sK0), % 5.86/1.14 bind(X13, sK3), % 5.86/1.14 bind(X14, inverse(sK3)), % 5.86/1.14 bind(X15, sK3), % 5.86/1.14 bind(X16, sK4), % 5.86/1.14 bind(X17, sK0), % 5.86/1.14 bind(X18, inverse(X21)), % 5.86/1.14 bind(X19, sK1), % 5.86/1.14 bind(X20, inverse(X29)), % 5.86/1.14 bind(X21, sK1), % 5.86/1.14 bind(X22, inverse(X29)), % 5.86/1.14 bind(X23, sK4), % 5.86/1.14 bind(X24, sK1), % 5.86/1.14 bind(X25, sK0), % 5.86/1.14 bind(X26, sK1), % 5.86/1.14 bind(X27, sK2), % 5.86/1.14 bind(X28, sK1), % 5.86/1.14 bind(X29, sK2), % 5.86/1.14 bind(X30, sK3) % 5.86/1.14 ], % 5.86/1.14 [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, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35, a36, a37, a38])). % 5.86/1.14 % 5.86/1.14 % SZS output end IncompleteProof %------------------------------------------------------------------------------