%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP123-2.003 : 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 : n019.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 10:08:58 EDT 2022 % Result : Unsatisfiable 5.48s 1.14s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP123-2.003 : TPTP v8.1.0. Released v1.2.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n019.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 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Mon Jun 13 06:45:09 EDT 2022 % 0.12/0.34 % CPUTime : % 5.48/1.14 % SZS status Unsatisfiable % 5.48/1.14 % SZS output begin IncompleteProof % 5.48/1.14 cnf(c0, axiom, % 5.48/1.14 equalish(X0,X1) | ~product(X2,X3,X1) | ~product(X2,X4,X0) | ~product(X1,X3,X5) | ~product(X0,X4,X5)). % 5.48/1.14 cnf(c1, plain, % 5.48/1.14 equalish(X0,X1) | ~product(X2,X3,X1) | ~product(X2,X4,X0) | ~product(X1,X3,X5) | ~product(X0,X4,X5), % 5.48/1.14 inference(start, [], [c0])). % 5.48/1.14 % 5.48/1.14 cnf(c2, axiom, % 5.48/1.14 ~equalish(e_1,e_3)). % 5.48/1.14 cnf(a0, assumption, % 5.48/1.14 X0 = e_1). % 5.48/1.14 cnf(a1, assumption, % 5.48/1.14 X1 = e_3). % 5.48/1.14 cnf(c3, plain, % 5.48/1.14 ~product(X2,X3,X1) | ~product(X2,X4,X0) | ~product(X1,X3,X5) | ~product(X0,X4,X5), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 5.48/1.14 cnf(c4, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 5.48/1.14 % 5.48/1.14 cnf(c5, axiom, % 5.48/1.14 product(X6,X6,X6)). % 5.48/1.14 cnf(a2, assumption, % 5.48/1.14 X2 = X6). % 5.48/1.14 cnf(a3, assumption, % 5.48/1.14 X3 = X6). % 5.48/1.14 cnf(a4, assumption, % 5.48/1.14 X1 = X6). % 5.48/1.14 cnf(c6, plain, % 5.48/1.14 ~product(X2,X4,X0) | ~product(X1,X3,X5) | ~product(X0,X4,X5), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c3, c5])). % 5.48/1.14 cnf(c7, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c3, c5])). % 5.48/1.14 % 5.48/1.14 cnf(c8, axiom, % 5.48/1.14 product(X7,X8,e_3) | product(X7,X8,e_2) | product(X7,X8,e_1) | ~group_element(X8) | ~group_element(X7)). % 5.48/1.14 cnf(a5, assumption, % 5.48/1.14 X2 = X7). % 5.48/1.14 cnf(a6, assumption, % 5.48/1.14 X4 = X8). % 5.48/1.14 cnf(a7, assumption, % 5.48/1.14 X0 = e_1). % 5.48/1.14 cnf(c9, plain, % 5.48/1.14 ~product(X1,X3,X5) | ~product(X0,X4,X5), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c6, c8])). % 5.48/1.14 cnf(c10, plain, % 5.48/1.14 product(X7,X8,e_3) | product(X7,X8,e_2) | ~group_element(X8) | ~group_element(X7), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c6, c8])). % 5.48/1.14 % 5.48/1.14 cnf(c11, axiom, % 5.48/1.14 equalish(X9,X10) | ~product(X11,X10,X12) | ~product(X11,X9,X12)). % 5.48/1.14 cnf(a8, assumption, % 5.48/1.14 X7 = X11). % 5.48/1.14 cnf(a9, assumption, % 5.48/1.14 X8 = X10). % 5.48/1.14 cnf(a10, assumption, % 5.48/1.14 e_3 = X12). % 5.48/1.14 cnf(c12, plain, % 5.48/1.14 product(X7,X8,e_2) | ~group_element(X8) | ~group_element(X7), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c10, c11])). % 5.48/1.14 cnf(c13, plain, % 5.48/1.14 equalish(X9,X10) | ~product(X11,X9,X12), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c10, c11])). % 5.48/1.14 % 5.48/1.14 cnf(c14, axiom, % 5.48/1.14 ~equalish(e_3,e_2)). % 5.48/1.14 cnf(a11, assumption, % 5.48/1.14 X9 = e_3). % 5.48/1.14 cnf(a12, assumption, % 5.48/1.14 X10 = e_2). % 5.48/1.14 cnf(c15, plain, % 5.48/1.14 ~product(X11,X9,X12), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a11, a12])], [c13, c14])). % 5.48/1.14 cnf(c16, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a11, a12])], [c13, c14])). % 5.48/1.14 % 5.48/1.14 cnf(c17, plain, % 5.48/1.14 product(X2,X3,X1)). % 5.48/1.14 cnf(a13, assumption, % 5.48/1.14 X11 = X2). % 5.48/1.14 cnf(a14, assumption, % 5.48/1.14 X9 = X3). % 5.48/1.14 cnf(a15, assumption, % 5.48/1.14 X12 = X1). % 5.48/1.14 cnf(c18, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(predicate_reduction, [assumptions([a13, a14, a15])], [c15, c17])). % 5.48/1.14 % 5.48/1.14 cnf(c19, axiom, % 5.48/1.14 equalish(X13,X14) | ~product(X14,X15,X16) | ~product(X13,X15,X16)). % 5.48/1.14 cnf(a16, assumption, % 5.48/1.14 X7 = X13). % 5.48/1.14 cnf(a17, assumption, % 5.48/1.14 X8 = X15). % 5.48/1.14 cnf(a18, assumption, % 5.48/1.14 e_2 = X16). % 5.48/1.14 cnf(c20, plain, % 5.48/1.14 ~group_element(X8) | ~group_element(X7), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c12, c19])). % 5.48/1.14 cnf(c21, plain, % 5.48/1.14 equalish(X13,X14) | ~product(X14,X15,X16), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c12, c19])). % 5.48/1.14 % 5.48/1.14 cnf(c22, plain, % 5.48/1.14 ~equalish(X9,X10)). % 5.48/1.14 cnf(a19, assumption, % 5.48/1.14 X13 = X9). % 5.48/1.14 cnf(a20, assumption, % 5.48/1.14 X14 = X10). % 5.48/1.14 cnf(c23, plain, % 5.48/1.14 ~product(X14,X15,X16), % 5.48/1.14 inference(predicate_reduction, [assumptions([a19, a20])], [c21, c22])). % 5.48/1.14 % 5.48/1.14 cnf(c24, axiom, % 5.48/1.14 product(X17,X17,X17)). % 5.48/1.14 cnf(a21, assumption, % 5.48/1.14 X14 = X17). % 5.48/1.14 cnf(a22, assumption, % 5.48/1.14 X15 = X17). % 5.48/1.14 cnf(a23, assumption, % 5.48/1.14 X16 = X17). % 5.48/1.14 cnf(c25, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c23, c24])). % 5.48/1.14 cnf(c26, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c23, c24])). % 5.48/1.14 % 5.48/1.14 cnf(c27, axiom, % 5.48/1.14 group_element(e_2)). % 5.48/1.14 cnf(a24, assumption, % 5.48/1.14 X8 = e_2). % 5.48/1.14 cnf(c28, plain, % 5.48/1.14 ~group_element(X7), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a24])], [c20, c27])). % 5.48/1.14 cnf(c29, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a24])], [c20, c27])). % 5.48/1.14 % 5.48/1.14 cnf(c30, axiom, % 5.48/1.14 group_element(e_3)). % 5.48/1.14 cnf(a25, assumption, % 5.48/1.14 X7 = e_3). % 5.48/1.14 cnf(c31, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a25])], [c28, c30])). % 5.48/1.14 cnf(c32, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a25])], [c28, c30])). % 5.48/1.14 % 5.48/1.14 cnf(c33, plain, % 5.48/1.14 product(X2,X3,X1)). % 5.48/1.14 cnf(a26, assumption, % 5.48/1.14 X1 = X2). % 5.48/1.14 cnf(a27, assumption, % 5.48/1.14 X3 = X3). % 5.48/1.14 cnf(a28, assumption, % 5.48/1.14 X5 = X1). % 5.48/1.14 cnf(c34, plain, % 5.48/1.14 ~product(X0,X4,X5), % 5.48/1.14 inference(predicate_reduction, [assumptions([a26, a27, a28])], [c9, c33])). % 5.48/1.14 % 5.48/1.14 cnf(c35, axiom, % 5.48/1.14 product(X18,X19,e_3) | product(X18,X19,e_2) | product(X18,X19,e_1) | ~group_element(X19) | ~group_element(X18)). % 5.48/1.14 cnf(a29, assumption, % 5.48/1.14 X0 = X18). % 5.48/1.14 cnf(a30, assumption, % 5.48/1.14 X4 = X19). % 5.48/1.14 cnf(a31, assumption, % 5.48/1.14 X5 = e_3). % 5.48/1.14 cnf(c36, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a29, a30, a31])], [c34, c35])). % 5.48/1.14 cnf(c37, plain, % 5.48/1.14 product(X18,X19,e_2) | product(X18,X19,e_1) | ~group_element(X19) | ~group_element(X18), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a29, a30, a31])], [c34, c35])). % 5.48/1.14 % 5.48/1.14 cnf(c38, axiom, % 5.48/1.14 equalish(X20,X21) | ~product(X21,X22,X23) | ~product(X20,X22,X23)). % 5.48/1.14 cnf(a32, assumption, % 5.48/1.14 X18 = X20). % 5.48/1.14 cnf(a33, assumption, % 5.48/1.14 X19 = X22). % 5.48/1.14 cnf(a34, assumption, % 5.48/1.14 e_2 = X23). % 5.48/1.14 cnf(c39, plain, % 5.48/1.14 product(X18,X19,e_1) | ~group_element(X19) | ~group_element(X18), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a32, a33, a34])], [c37, c38])). % 5.48/1.14 cnf(c40, plain, % 5.48/1.14 equalish(X20,X21) | ~product(X21,X22,X23), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a32, a33, a34])], [c37, c38])). % 5.48/1.14 % 5.48/1.14 cnf(c41, axiom, % 5.48/1.14 ~equalish(e_1,e_2)). % 5.48/1.14 cnf(a35, assumption, % 5.48/1.14 X20 = e_1). % 5.48/1.14 cnf(a36, assumption, % 5.48/1.14 X21 = e_2). % 5.48/1.14 cnf(c42, plain, % 5.48/1.14 ~product(X21,X22,X23), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a35, a36])], [c40, c41])). % 5.48/1.14 cnf(c43, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a35, a36])], [c40, c41])). % 5.48/1.14 % 5.48/1.14 cnf(c44, plain, % 5.48/1.14 product(X14,X15,X16)). % 5.48/1.14 cnf(a37, assumption, % 5.48/1.14 X21 = X14). % 5.48/1.14 cnf(a38, assumption, % 5.48/1.14 X22 = X15). % 5.48/1.14 cnf(a39, assumption, % 5.48/1.14 X23 = X16). % 5.48/1.14 cnf(c45, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(predicate_reduction, [assumptions([a37, a38, a39])], [c42, c44])). % 5.48/1.14 % 5.48/1.14 cnf(c46, axiom, % 5.48/1.14 equalish(X24,X25) | ~product(X25,X26,X27) | ~product(X24,X26,X27)). % 5.48/1.14 cnf(a40, assumption, % 5.48/1.14 X18 = X24). % 5.48/1.14 cnf(a41, assumption, % 5.48/1.14 X19 = X26). % 5.48/1.14 cnf(a42, assumption, % 5.48/1.14 e_1 = X27). % 5.48/1.14 cnf(c47, plain, % 5.48/1.14 ~group_element(X19) | ~group_element(X18), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a40, a41, a42])], [c39, c46])). % 5.48/1.14 cnf(c48, plain, % 5.48/1.14 equalish(X24,X25) | ~product(X25,X26,X27), % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a40, a41, a42])], [c39, c46])). % 5.48/1.14 % 5.48/1.14 cnf(c49, plain, % 5.48/1.14 ~equalish(X0,X1)). % 5.48/1.14 cnf(a43, assumption, % 5.48/1.14 X24 = X0). % 5.48/1.14 cnf(a44, assumption, % 5.48/1.14 X25 = X1). % 5.48/1.14 cnf(c50, plain, % 5.48/1.14 ~product(X25,X26,X27), % 5.48/1.14 inference(predicate_reduction, [assumptions([a43, a44])], [c48, c49])). % 5.48/1.14 % 5.48/1.14 cnf(c51, plain, % 5.48/1.14 product(X2,X4,X0)). % 5.48/1.14 cnf(a45, assumption, % 5.48/1.14 X25 = X2). % 5.48/1.14 cnf(a46, assumption, % 5.48/1.14 X26 = X4). % 5.48/1.14 cnf(a47, assumption, % 5.48/1.14 X27 = X0). % 5.48/1.14 cnf(c52, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(predicate_reduction, [assumptions([a45, a46, a47])], [c50, c51])). % 5.48/1.14 % 5.48/1.14 cnf(c53, plain, % 5.48/1.14 group_element(X8)). % 5.48/1.14 cnf(a48, assumption, % 5.48/1.14 X19 = X8). % 5.48/1.14 cnf(c54, plain, % 5.48/1.14 ~group_element(X18), % 5.48/1.14 inference(predicate_reduction, [assumptions([a48])], [c47, c53])). % 5.48/1.14 % 5.48/1.14 cnf(c55, axiom, % 5.48/1.14 group_element(e_1)). % 5.48/1.14 cnf(a49, assumption, % 5.48/1.14 X18 = e_1). % 5.48/1.14 cnf(c56, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a49])], [c54, c55])). % 5.48/1.14 cnf(c57, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(strict_predicate_extension, [assumptions([a49])], [c54, c55])). % 5.48/1.14 % 5.48/1.14 cnf(c58, plain, % 5.48/1.14 $false, % 5.48/1.14 inference(constraint_solving, [ % 5.48/1.14 bind(X0, e_1), % 5.48/1.14 bind(X1, e_3), % 5.48/1.14 bind(X2, e_3), % 5.48/1.14 bind(X3, e_3), % 5.48/1.14 bind(X4, e_2), % 5.48/1.14 bind(X5, e_3), % 5.48/1.14 bind(X6, e_3), % 5.48/1.14 bind(X7, e_3), % 5.48/1.14 bind(X8, e_2), % 5.48/1.14 bind(X9, e_3), % 5.48/1.14 bind(X10, e_2), % 5.48/1.14 bind(X11, e_3), % 5.48/1.14 bind(X12, e_3), % 5.48/1.14 bind(X13, e_3), % 5.48/1.14 bind(X14, e_2), % 5.48/1.14 bind(X15, e_2), % 5.48/1.14 bind(X16, e_2), % 5.48/1.14 bind(X17, e_2), % 5.48/1.14 bind(X18, e_1), % 5.48/1.14 bind(X19, e_2), % 5.48/1.14 bind(X20, e_1), % 5.48/1.14 bind(X21, e_2), % 5.48/1.14 bind(X22, e_2), % 5.48/1.14 bind(X23, e_2), % 5.48/1.14 bind(X24, e_1), % 5.48/1.14 bind(X25, e_3), % 5.48/1.14 bind(X26, e_2), % 5.48/1.14 bind(X27, e_1) % 5.48/1.14 ], % 5.48/1.14 [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, a39, a40, a41, a42, a43, a44, a45, a46, a47, a48, a49])). % 5.48/1.14 % 5.48/1.14 % SZS output end IncompleteProof %------------------------------------------------------------------------------