%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : GRP123-7.003 : 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 : n010.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 10:09:00 EDT 2022 % Result : Unsatisfiable 17.84s 2.79s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GRP123-7.003 : TPTP v8.1.0. Released v1.2.0. % 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n010.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 : Mon Jun 13 13:05:24 EDT 2022 % 0.12/0.33 % CPUTime : % 17.84/2.79 % SZS status Unsatisfiable % 17.84/2.79 % SZS output begin IncompleteProof % 17.84/2.79 cnf(c0, axiom, % 17.84/2.79 product2(X0,X1,X2) | ~product1(X3,X2,X0) | ~product1(X1,X2,X3)). % 17.84/2.79 cnf(c1, plain, % 17.84/2.79 product2(X0,X1,X2) | ~product1(X3,X2,X0) | ~product1(X1,X2,X3), % 17.84/2.79 inference(start, [], [c0])). % 17.84/2.79 % 17.84/2.79 cnf(c2, axiom, % 17.84/2.79 equalish(X4,X5) | ~product2(X6,X7,X5) | ~product2(X6,X7,X4)). % 17.84/2.79 cnf(a0, assumption, % 17.84/2.79 X0 = X6). % 17.84/2.79 cnf(a1, assumption, % 17.84/2.79 X1 = X7). % 17.84/2.79 cnf(a2, assumption, % 17.84/2.79 X2 = X4). % 17.84/2.79 cnf(c3, plain, % 17.84/2.79 ~product1(X3,X2,X0) | ~product1(X1,X2,X3), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 17.84/2.79 cnf(c4, plain, % 17.84/2.79 equalish(X4,X5) | ~product2(X6,X7,X5), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 17.84/2.79 % 17.84/2.79 cnf(c5, axiom, % 17.84/2.79 ~equalish(e_1,e_2)). % 17.84/2.79 cnf(a3, assumption, % 17.84/2.79 X4 = e_1). % 17.84/2.79 cnf(a4, assumption, % 17.84/2.79 X5 = e_2). % 17.84/2.79 cnf(c6, plain, % 17.84/2.79 ~product2(X6,X7,X5), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 17.84/2.79 cnf(c7, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 17.84/2.79 % 17.84/2.79 cnf(c8, axiom, % 17.84/2.79 product2(X8,X8,X8)). % 17.84/2.79 cnf(a5, assumption, % 17.84/2.79 X6 = X8). % 17.84/2.79 cnf(a6, assumption, % 17.84/2.79 X7 = X8). % 17.84/2.79 cnf(a7, assumption, % 17.84/2.79 X5 = X8). % 17.84/2.79 cnf(c9, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c6, c8])). % 17.84/2.79 cnf(c10, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c6, c8])). % 17.84/2.79 % 17.84/2.79 cnf(c11, axiom, % 17.84/2.79 product1(X9,X10,e_3) | product1(X9,X10,e_2) | product1(X9,X10,e_1) | ~group_element(X10) | ~group_element(X9)). % 17.84/2.79 cnf(a8, assumption, % 17.84/2.79 X3 = X9). % 17.84/2.79 cnf(a9, assumption, % 17.84/2.79 X2 = X10). % 17.84/2.79 cnf(a10, assumption, % 17.84/2.79 X0 = e_2). % 17.84/2.79 cnf(c12, plain, % 17.84/2.79 ~product1(X1,X2,X3), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c3, c11])). % 17.84/2.79 cnf(c13, plain, % 17.84/2.79 product1(X9,X10,e_3) | product1(X9,X10,e_1) | ~group_element(X10) | ~group_element(X9), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c3, c11])). % 17.84/2.79 % 17.84/2.79 cnf(c14, axiom, % 17.84/2.79 equalish(X11,X12) | ~product1(X13,X12,X14) | ~product1(X13,X11,X14)). % 17.84/2.79 cnf(a11, assumption, % 17.84/2.79 X9 = X13). % 17.84/2.79 cnf(a12, assumption, % 17.84/2.79 X10 = X11). % 17.84/2.79 cnf(a13, assumption, % 17.84/2.79 e_3 = X14). % 17.84/2.79 cnf(c15, plain, % 17.84/2.79 product1(X9,X10,e_1) | ~group_element(X10) | ~group_element(X9), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])). % 17.84/2.79 cnf(c16, plain, % 17.84/2.79 equalish(X11,X12) | ~product1(X13,X12,X14), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])). % 17.84/2.79 % 17.84/2.79 cnf(c17, axiom, % 17.84/2.79 ~equalish(e_1,e_3)). % 17.84/2.79 cnf(a14, assumption, % 17.84/2.79 X11 = e_1). % 17.84/2.79 cnf(a15, assumption, % 17.84/2.79 X12 = e_3). % 17.84/2.79 cnf(c18, plain, % 17.84/2.79 ~product1(X13,X12,X14), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a14, a15])], [c16, c17])). % 17.84/2.79 cnf(c19, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a14, a15])], [c16, c17])). % 17.84/2.79 % 17.84/2.79 cnf(c20, axiom, % 17.84/2.79 product1(X15,X15,X15)). % 17.84/2.79 cnf(a16, assumption, % 17.84/2.79 X13 = X15). % 17.84/2.79 cnf(a17, assumption, % 17.84/2.79 X12 = X15). % 17.84/2.79 cnf(a18, assumption, % 17.84/2.79 X14 = X15). % 17.84/2.79 cnf(c21, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c18, c20])). % 17.84/2.79 cnf(c22, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c18, c20])). % 17.84/2.79 % 17.84/2.79 cnf(c23, axiom, % 17.84/2.79 equalish(X16,X17) | ~product1(X17,X18,X19) | ~product1(X16,X18,X19)). % 17.84/2.79 cnf(a19, assumption, % 17.84/2.79 X9 = X16). % 17.84/2.79 cnf(a20, assumption, % 17.84/2.79 X10 = X18). % 17.84/2.79 cnf(a21, assumption, % 17.84/2.79 e_1 = X19). % 17.84/2.79 cnf(c24, plain, % 17.84/2.79 ~group_element(X10) | ~group_element(X9), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c15, c23])). % 17.84/2.79 cnf(c25, plain, % 17.84/2.79 equalish(X16,X17) | ~product1(X17,X18,X19), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c15, c23])). % 17.84/2.79 % 17.84/2.79 cnf(c26, axiom, % 17.84/2.79 ~equalish(e_3,e_1)). % 17.84/2.79 cnf(a22, assumption, % 17.84/2.79 X16 = e_3). % 17.84/2.79 cnf(a23, assumption, % 17.84/2.79 X17 = e_1). % 17.84/2.79 cnf(c27, plain, % 17.84/2.79 ~product1(X17,X18,X19), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a22, a23])], [c25, c26])). % 17.84/2.79 cnf(c28, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a22, a23])], [c25, c26])). % 17.84/2.79 % 17.84/2.79 cnf(c29, axiom, % 17.84/2.79 product1(X20,X20,X20)). % 17.84/2.79 cnf(a24, assumption, % 17.84/2.79 X17 = X20). % 17.84/2.79 cnf(a25, assumption, % 17.84/2.79 X18 = X20). % 17.84/2.79 cnf(a26, assumption, % 17.84/2.79 X19 = X20). % 17.84/2.79 cnf(c30, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c27, c29])). % 17.84/2.79 cnf(c31, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c27, c29])). % 17.84/2.79 % 17.84/2.79 cnf(c32, axiom, % 17.84/2.79 group_element(e_1)). % 17.84/2.79 cnf(a27, assumption, % 17.84/2.79 X10 = e_1). % 17.84/2.79 cnf(c33, plain, % 17.84/2.79 ~group_element(X9), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a27])], [c24, c32])). % 17.84/2.79 cnf(c34, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a27])], [c24, c32])). % 17.84/2.79 % 17.84/2.79 cnf(c35, axiom, % 17.84/2.79 group_element(e_3)). % 17.84/2.79 cnf(a28, assumption, % 17.84/2.79 X9 = e_3). % 17.84/2.79 cnf(c36, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a28])], [c33, c35])). % 17.84/2.79 cnf(c37, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a28])], [c33, c35])). % 17.84/2.79 % 17.84/2.79 cnf(c38, axiom, % 17.84/2.79 product1(X21,X22,e_3) | product1(X21,X22,e_2) | product1(X21,X22,e_1) | ~group_element(X22) | ~group_element(X21)). % 17.84/2.79 cnf(a29, assumption, % 17.84/2.79 X1 = X21). % 17.84/2.79 cnf(a30, assumption, % 17.84/2.79 X2 = X22). % 17.84/2.79 cnf(a31, assumption, % 17.84/2.79 X3 = e_3). % 17.84/2.79 cnf(c39, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a29, a30, a31])], [c12, c38])). % 17.84/2.79 cnf(c40, plain, % 17.84/2.79 product1(X21,X22,e_2) | product1(X21,X22,e_1) | ~group_element(X22) | ~group_element(X21), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a29, a30, a31])], [c12, c38])). % 17.84/2.79 % 17.84/2.79 cnf(c41, axiom, % 17.84/2.79 equalish(X23,X24) | ~product1(X25,X24,X26) | ~product1(X25,X23,X26)). % 17.84/2.79 cnf(a32, assumption, % 17.84/2.79 X21 = X25). % 17.84/2.79 cnf(a33, assumption, % 17.84/2.79 X22 = X24). % 17.84/2.79 cnf(a34, assumption, % 17.84/2.79 e_2 = X26). % 17.84/2.79 cnf(c42, plain, % 17.84/2.79 product1(X21,X22,e_1) | ~group_element(X22) | ~group_element(X21), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a32, a33, a34])], [c40, c41])). % 17.84/2.79 cnf(c43, plain, % 17.84/2.79 equalish(X23,X24) | ~product1(X25,X23,X26), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a32, a33, a34])], [c40, c41])). % 17.84/2.79 % 17.84/2.79 cnf(c44, axiom, % 17.84/2.79 ~equalish(e_2,e_1)). % 17.84/2.79 cnf(a35, assumption, % 17.84/2.79 X23 = e_2). % 17.84/2.79 cnf(a36, assumption, % 17.84/2.79 X24 = e_1). % 17.84/2.79 cnf(c45, plain, % 17.84/2.79 ~product1(X25,X23,X26), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a35, a36])], [c43, c44])). % 17.84/2.79 cnf(c46, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a35, a36])], [c43, c44])). % 17.84/2.79 % 17.84/2.79 cnf(c47, axiom, % 17.84/2.79 product1(X27,X27,X27)). % 17.84/2.79 cnf(a37, assumption, % 17.84/2.79 X25 = X27). % 17.84/2.79 cnf(a38, assumption, % 17.84/2.79 X23 = X27). % 17.84/2.79 cnf(a39, assumption, % 17.84/2.79 X26 = X27). % 17.84/2.79 cnf(c48, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a37, a38, a39])], [c45, c47])). % 17.84/2.79 cnf(c49, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a37, a38, a39])], [c45, c47])). % 17.84/2.79 % 17.84/2.79 cnf(c50, axiom, % 17.84/2.79 equalish(X28,X29) | ~product1(X29,X30,X31) | ~product1(X28,X30,X31)). % 17.84/2.79 cnf(a40, assumption, % 17.84/2.79 X21 = X28). % 17.84/2.79 cnf(a41, assumption, % 17.84/2.79 X22 = X30). % 17.84/2.79 cnf(a42, assumption, % 17.84/2.79 e_1 = X31). % 17.84/2.79 cnf(c51, plain, % 17.84/2.79 ~group_element(X22) | ~group_element(X21), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a40, a41, a42])], [c42, c50])). % 17.84/2.79 cnf(c52, plain, % 17.84/2.79 equalish(X28,X29) | ~product1(X29,X30,X31), % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a40, a41, a42])], [c42, c50])). % 17.84/2.79 % 17.84/2.79 cnf(c53, plain, % 17.84/2.79 ~equalish(X23,X24)). % 17.84/2.79 cnf(a43, assumption, % 17.84/2.79 X28 = X23). % 17.84/2.79 cnf(a44, assumption, % 17.84/2.79 X29 = X24). % 17.84/2.79 cnf(c54, plain, % 17.84/2.79 ~product1(X29,X30,X31), % 17.84/2.79 inference(predicate_reduction, [assumptions([a43, a44])], [c52, c53])). % 17.84/2.79 % 17.84/2.79 cnf(c55, plain, % 17.84/2.79 product1(X17,X18,X19)). % 17.84/2.79 cnf(a45, assumption, % 17.84/2.79 X29 = X17). % 17.84/2.79 cnf(a46, assumption, % 17.84/2.79 X30 = X18). % 17.84/2.79 cnf(a47, assumption, % 17.84/2.79 X31 = X19). % 17.84/2.79 cnf(c56, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(predicate_reduction, [assumptions([a45, a46, a47])], [c54, c55])). % 17.84/2.79 % 17.84/2.79 cnf(c57, plain, % 17.84/2.79 group_element(X10)). % 17.84/2.79 cnf(a48, assumption, % 17.84/2.79 X22 = X10). % 17.84/2.79 cnf(c58, plain, % 17.84/2.79 ~group_element(X21), % 17.84/2.79 inference(predicate_reduction, [assumptions([a48])], [c51, c57])). % 17.84/2.79 % 17.84/2.79 cnf(c59, axiom, % 17.84/2.79 group_element(e_2)). % 17.84/2.79 cnf(a49, assumption, % 17.84/2.79 X21 = e_2). % 17.84/2.79 cnf(c60, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a49])], [c58, c59])). % 17.84/2.79 cnf(c61, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(strict_predicate_extension, [assumptions([a49])], [c58, c59])). % 17.84/2.79 % 17.84/2.79 cnf(c62, plain, % 17.84/2.79 $false, % 17.84/2.79 inference(constraint_solving, [ % 17.84/2.79 bind(X0, e_2), % 17.84/2.79 bind(X1, e_2), % 17.84/2.79 bind(X2, e_1), % 17.84/2.79 bind(X3, e_3), % 17.84/2.79 bind(X4, e_1), % 17.84/2.79 bind(X5, e_2), % 17.84/2.79 bind(X6, e_2), % 17.84/2.79 bind(X7, e_2), % 17.84/2.79 bind(X8, e_2), % 17.84/2.79 bind(X9, e_3), % 17.84/2.79 bind(X10, e_1), % 17.84/2.79 bind(X11, e_1), % 17.84/2.79 bind(X12, e_3), % 17.84/2.79 bind(X13, e_3), % 17.84/2.79 bind(X14, e_3), % 17.84/2.79 bind(X15, e_3), % 17.84/2.79 bind(X16, e_3), % 17.84/2.79 bind(X17, e_1), % 17.84/2.79 bind(X18, e_1), % 17.84/2.79 bind(X19, e_1), % 17.84/2.79 bind(X20, e_1), % 17.84/2.79 bind(X21, e_2), % 17.84/2.79 bind(X22, e_1), % 17.84/2.79 bind(X23, e_2), % 17.84/2.79 bind(X24, e_1), % 17.84/2.79 bind(X25, e_2), % 17.84/2.79 bind(X26, e_2), % 17.84/2.79 bind(X27, e_2), % 17.84/2.79 bind(X28, e_2), % 17.84/2.79 bind(X29, e_1), % 17.84/2.79 bind(X30, e_1), % 17.84/2.79 bind(X31, e_1) % 17.84/2.79 ], % 17.84/2.79 [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])). % 17.84/2.79 % 17.84/2.79 % SZS output end IncompleteProof %------------------------------------------------------------------------------