%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP135-2.002 : TPTP v8.1.0. Released v1.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n008.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 10:09:19 EDT 2022 % Result : Unsatisfiable 26.42s 3.74s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP135-2.002 : TPTP v8.1.0. Released v1.2.0. % 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n008.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jun 14 12:30:37 EDT 2022 % 0.12/0.33 % CPUTime : % 26.42/3.74 % SZS status Unsatisfiable % 26.42/3.74 % SZS output begin IncompleteProof % 26.42/3.74 cnf(c0, axiom, % 26.42/3.74 product(X0,X1,X2) | ~product(X3,X1,X0) | ~product(X1,X2,X3)). % 26.42/3.74 cnf(c1, plain, % 26.42/3.74 product(X0,X1,X2) | ~product(X3,X1,X0) | ~product(X1,X2,X3), % 26.42/3.74 inference(start, [], [c0])). % 26.42/3.74 % 26.42/3.74 cnf(c2, axiom, % 26.42/3.74 equalish(X4,X5) | ~product(X5,X6,X7) | ~product(X4,X6,X7)). % 26.42/3.74 cnf(a0, assumption, % 26.42/3.74 X0 = X5). % 26.42/3.74 cnf(a1, assumption, % 26.42/3.74 X1 = X6). % 26.42/3.74 cnf(a2, assumption, % 26.42/3.74 X2 = X7). % 26.42/3.74 cnf(c3, plain, % 26.42/3.74 ~product(X3,X1,X0) | ~product(X1,X2,X3), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 26.42/3.74 cnf(c4, plain, % 26.42/3.74 equalish(X4,X5) | ~product(X4,X6,X7), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 26.42/3.74 % 26.42/3.74 cnf(c5, axiom, % 26.42/3.74 ~equalish(e_2,e_1)). % 26.42/3.74 cnf(a3, assumption, % 26.42/3.74 X4 = e_2). % 26.42/3.74 cnf(a4, assumption, % 26.42/3.74 X5 = e_1). % 26.42/3.74 cnf(c6, plain, % 26.42/3.74 ~product(X4,X6,X7), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 26.42/3.74 cnf(c7, plain, % 26.42/3.74 $false, % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 26.42/3.74 % 26.42/3.74 cnf(c8, axiom, % 26.42/3.74 product(X8,X9,X10) | ~product(X11,X9,X8) | ~product(X9,X10,X11)). % 26.42/3.74 cnf(a5, assumption, % 26.42/3.74 X4 = X8). % 26.42/3.74 cnf(a6, assumption, % 26.42/3.74 X6 = X9). % 26.42/3.74 cnf(a7, assumption, % 26.42/3.74 X7 = X10). % 26.42/3.74 cnf(c9, plain, % 26.42/3.74 $false, % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c6, c8])). % 26.42/3.74 cnf(c10, plain, % 26.42/3.74 ~product(X11,X9,X8) | ~product(X9,X10,X11), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c6, c8])). % 26.42/3.74 % 26.42/3.74 cnf(c11, plain, % 26.42/3.74 product(X0,X1,X2)). % 26.42/3.74 cnf(a8, assumption, % 26.42/3.74 X11 = X0). % 26.42/3.74 cnf(a9, assumption, % 26.42/3.74 X9 = X1). % 26.42/3.74 cnf(a10, assumption, % 26.42/3.74 X8 = X2). % 26.42/3.74 cnf(c12, plain, % 26.42/3.74 ~product(X9,X10,X11), % 26.42/3.74 inference(predicate_reduction, [assumptions([a8, a9, a10])], [c10, c11])). % 26.42/3.74 % 26.42/3.74 cnf(c13, axiom, % 26.42/3.74 product(X12,X13,e_2) | product(X12,X13,e_1) | ~group_element(X13) | ~group_element(X12)). % 26.42/3.74 cnf(a11, assumption, % 26.42/3.74 X9 = X12). % 26.42/3.74 cnf(a12, assumption, % 26.42/3.74 X10 = X13). % 26.42/3.74 cnf(a13, assumption, % 26.42/3.74 X11 = e_1). % 26.42/3.74 cnf(c14, plain, % 26.42/3.74 $false, % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c12, c13])). % 26.42/3.74 cnf(c15, plain, % 26.42/3.74 product(X12,X13,e_2) | ~group_element(X13) | ~group_element(X12), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c12, c13])). % 26.42/3.74 % 26.42/3.74 cnf(c16, axiom, % 26.42/3.74 equalish(X14,X15) | ~product(X15,X16,X17) | ~product(X14,X16,X17)). % 26.42/3.74 cnf(a14, assumption, % 26.42/3.74 X12 = X15). % 26.42/3.74 cnf(a15, assumption, % 26.42/3.74 X13 = X16). % 26.42/3.74 cnf(a16, assumption, % 26.42/3.74 e_2 = X17). % 26.42/3.74 cnf(c17, plain, % 26.42/3.74 ~group_element(X13) | ~group_element(X12), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c15, c16])). % 26.42/3.74 cnf(c18, plain, % 26.42/3.74 equalish(X14,X15) | ~product(X14,X16,X17), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c15, c16])). % 26.42/3.74 % 26.42/3.74 cnf(c19, plain, % 26.42/3.74 ~equalish(X4,X5)). % 26.42/3.74 cnf(a17, assumption, % 26.42/3.74 X14 = X4). % 26.42/3.74 cnf(a18, assumption, % 26.42/3.74 X15 = X5). % 26.42/3.74 cnf(c20, plain, % 26.42/3.74 ~product(X14,X16,X17), % 26.42/3.74 inference(predicate_reduction, [assumptions([a17, a18])], [c18, c19])). % 26.42/3.74 % 26.42/3.74 cnf(c21, axiom, % 26.42/3.74 product(X18,X19,e_2) | product(X18,X19,e_1) | ~group_element(X19) | ~group_element(X18)). % 26.42/3.74 cnf(a19, assumption, % 26.42/3.74 X14 = X18). % 26.42/3.74 cnf(a20, assumption, % 26.42/3.74 X16 = X19). % 26.42/3.74 cnf(a21, assumption, % 26.42/3.74 X17 = e_2). % 26.42/3.74 cnf(c22, plain, % 26.42/3.74 $false, % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c20, c21])). % 26.42/3.74 cnf(c23, plain, % 26.42/3.74 product(X18,X19,e_1) | ~group_element(X19) | ~group_element(X18), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c20, c21])). % 26.42/3.74 % 26.42/3.74 cnf(c24, axiom, % 26.42/3.74 product(X20,X21,X22) | ~product(X23,X21,X20) | ~product(X21,X22,X23)). % 26.42/3.74 cnf(a22, assumption, % 26.42/3.74 X18 = X21). % 26.42/3.74 cnf(a23, assumption, % 26.42/3.74 X19 = X22). % 26.42/3.74 cnf(a24, assumption, % 26.42/3.74 e_1 = X23). % 26.42/3.74 cnf(c25, plain, % 26.42/3.74 ~group_element(X19) | ~group_element(X18), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c23, c24])). % 26.42/3.74 cnf(c26, plain, % 26.42/3.74 product(X20,X21,X22) | ~product(X23,X21,X20), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c23, c24])). % 26.42/3.74 % 26.42/3.74 cnf(c27, plain, % 26.42/3.74 ~product(X14,X16,X17)). % 26.42/3.74 cnf(a25, assumption, % 26.42/3.74 X20 = X14). % 26.42/3.74 cnf(a26, assumption, % 26.42/3.74 X21 = X16). % 26.42/3.74 cnf(a27, assumption, % 26.42/3.74 X22 = X17). % 26.42/3.74 cnf(c28, plain, % 26.42/3.74 ~product(X23,X21,X20), % 26.42/3.74 inference(predicate_reduction, [assumptions([a25, a26, a27])], [c26, c27])). % 26.42/3.74 % 26.42/3.74 cnf(c29, plain, % 26.42/3.74 product(X12,X13,e_2)). % 26.42/3.74 cnf(a28, assumption, % 26.42/3.74 X23 = X12). % 26.42/3.74 cnf(a29, assumption, % 26.42/3.74 X21 = X13). % 26.42/3.74 cnf(a30, assumption, % 26.42/3.74 X20 = e_2). % 26.42/3.74 cnf(c30, plain, % 26.42/3.74 $false, % 26.42/3.74 inference(predicate_reduction, [assumptions([a28, a29, a30])], [c28, c29])). % 26.42/3.74 % 26.42/3.74 cnf(c31, axiom, % 26.42/3.74 group_element(e_2)). % 26.42/3.74 cnf(a31, assumption, % 26.42/3.74 X19 = e_2). % 26.42/3.74 cnf(c32, plain, % 26.42/3.74 ~group_element(X18), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a31])], [c25, c31])). % 26.42/3.74 cnf(c33, plain, % 26.42/3.74 $false, % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a31])], [c25, c31])). % 26.42/3.74 % 26.42/3.74 cnf(c34, plain, % 26.42/3.74 group_element(X19)). % 26.42/3.74 cnf(a32, assumption, % 26.42/3.74 X18 = X19). % 26.42/3.74 cnf(c35, plain, % 26.42/3.74 $false, % 26.42/3.74 inference(predicate_reduction, [assumptions([a32])], [c32, c34])). % 26.42/3.74 % 26.42/3.74 cnf(c36, plain, % 26.42/3.74 group_element(X19)). % 26.42/3.74 cnf(a33, assumption, % 26.42/3.74 X13 = X19). % 26.42/3.74 cnf(c37, plain, % 26.42/3.74 ~group_element(X12), % 26.42/3.74 inference(predicate_reduction, [assumptions([a33])], [c17, c36])). % 26.42/3.74 % 26.42/3.74 cnf(c38, axiom, % 26.42/3.74 group_element(e_1)). % 26.42/3.74 cnf(a34, assumption, % 26.42/3.74 X12 = e_1). % 26.42/3.74 cnf(c39, plain, % 26.42/3.74 $false, % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a34])], [c37, c38])). % 26.42/3.74 cnf(c40, plain, % 26.42/3.74 $false, % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a34])], [c37, c38])). % 26.42/3.74 % 26.42/3.74 cnf(c41, axiom, % 26.42/3.74 product(X24,X25,e_2) | product(X24,X25,e_1) | ~group_element(X25) | ~group_element(X24)). % 26.42/3.74 cnf(a35, assumption, % 26.42/3.74 X3 = X24). % 26.42/3.74 cnf(a36, assumption, % 26.42/3.74 X1 = X25). % 26.42/3.74 cnf(a37, assumption, % 26.42/3.74 X0 = e_1). % 26.42/3.74 cnf(c42, plain, % 26.42/3.74 ~product(X1,X2,X3), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a35, a36, a37])], [c3, c41])). % 26.42/3.74 cnf(c43, plain, % 26.42/3.74 product(X24,X25,e_2) | ~group_element(X25) | ~group_element(X24), % 26.42/3.74 inference(strict_predicate_extension, [assumptions([a35, a36, a37])], [c3, c41])). % 26.42/3.74 % 26.42/3.74 cnf(c44, plain, % 26.42/3.74 ~product(X0,X1,X2)). % 26.42/3.74 cnf(a38, assumption, % 26.42/3.74 X24 = X0). % 26.42/3.74 cnf(a39, assumption, % 26.42/3.74 X25 = X1). % 26.42/3.74 cnf(a40, assumption, % 26.42/3.74 e_2 = X2). % 26.42/3.74 cnf(c45, plain, % 26.42/3.74 ~group_element(X25) | ~group_element(X24), % 26.42/3.74 inference(predicate_reduction, [assumptions([a38, a39, a40])], [c43, c44])). % 26.42/3.74 % 26.42/3.74 cnf(c46, plain, % 26.42/3.74 group_element(X12)). % 26.42/3.74 cnf(a41, assumption, % 26.42/3.74 X25 = X12). % 26.42/3.74 cnf(c47, plain, % 26.42/3.74 ~group_element(X24), % 26.42/3.74 inference(predicate_reduction, [assumptions([a41])], [c45, c46])). % 26.42/3.74 % 26.42/3.74 cnf(c48, plain, % 26.42/3.74 group_element(X12)). % 26.42/3.74 cnf(a42, assumption, % 26.42/3.74 X24 = X12). % 26.42/3.74 cnf(c49, plain, % 26.42/3.74 $false, % 26.42/3.74 inference(predicate_reduction, [assumptions([a42])], [c47, c48])). % 26.42/3.74 % 26.42/3.74 cnf(c50, plain, % 26.42/3.74 product(X9,X10,X11)). % 26.42/3.74 cnf(a43, assumption, % 26.42/3.74 X1 = X9). % 26.42/3.74 cnf(a44, assumption, % 26.42/3.74 X2 = X10). % 26.42/3.74 cnf(a45, assumption, % 26.42/3.74 X3 = X11). % 26.42/3.74 cnf(c51, plain, % 26.42/3.74 $false, % 26.42/3.74 inference(predicate_reduction, [assumptions([a43, a44, a45])], [c42, c50])). % 26.42/3.74 % 26.42/3.74 cnf(c52, plain, % 26.42/3.74 $false, % 26.42/3.74 inference(constraint_solving, [ % 26.42/3.74 bind(X0, e_1), % 26.42/3.74 bind(X1, e_1), % 26.42/3.74 bind(X2, e_2), % 26.42/3.74 bind(X3, e_1), % 26.42/3.74 bind(X4, e_2), % 26.42/3.74 bind(X5, e_1), % 26.42/3.74 bind(X6, e_1), % 26.42/3.74 bind(X7, e_2), % 26.42/3.74 bind(X8, e_2), % 26.42/3.74 bind(X9, e_1), % 26.42/3.74 bind(X10, e_2), % 26.42/3.74 bind(X11, e_1), % 26.42/3.74 bind(X12, e_1), % 26.42/3.74 bind(X13, e_2), % 26.42/3.74 bind(X14, e_2), % 26.42/3.74 bind(X15, e_1), % 26.42/3.74 bind(X16, e_2), % 26.42/3.74 bind(X17, e_2), % 26.42/3.74 bind(X18, e_2), % 26.42/3.74 bind(X19, e_2), % 26.42/3.74 bind(X20, e_2), % 26.42/3.74 bind(X21, e_2), % 26.42/3.74 bind(X22, e_2), % 26.42/3.74 bind(X23, e_1), % 26.42/3.74 bind(X24, e_1), % 26.42/3.74 bind(X25, e_1) % 26.42/3.74 ], % 26.42/3.74 [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, a39, a40, a41, a42, a43, a44, a45])). % 26.42/3.74 % 26.42/3.74 % SZS output end IncompleteProof %------------------------------------------------------------------------------