TSTP Solution File: GRP014-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP014-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.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 : 300s
% DateTime : Tue Aug 22 10:39:37 EDT 2023
% Result : Unsatisfiable 62.34s 27.16s
% Output : CNFRefutation 62.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 7
% Syntax : Number of formulae : 86 ( 81 unt; 5 typ; 0 def)
% Number of atoms : 81 ( 80 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 245 (; 245 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(c,type,
c: $i ).
tff(f_30,axiom,
! [X,Y,W,Z] : ( multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(X),W))),Z),inverse(multiply(Y,Z))))) = W ),
file(unknown,unknown) ).
tff(f_32,axiom,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file(unknown,unknown) ).
tff(c_5,plain,
! [X_5,Y_6,W_7,Z_8] : ( multiply(X_5,inverse(multiply(multiply(inverse(multiply(inverse(Y_6),multiply(inverse(X_5),W_7))),Z_8),inverse(multiply(Y_6,Z_8))))) = W_7 ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_2,plain,
! [X_1,Y_2,W_3,Z_4] : ( multiply(X_1,inverse(multiply(multiply(inverse(multiply(inverse(Y_2),multiply(inverse(X_1),W_3))),Z_4),inverse(multiply(Y_2,Z_4))))) = W_3 ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_36,plain,
! [Y_14,Y_12,W_9,Z_10,Z_11,X_13] : ( multiply(X_13,inverse(multiply(multiply(inverse(multiply(inverse(Y_14),W_9)),Z_11),inverse(multiply(Y_14,Z_11))))) = inverse(multiply(multiply(inverse(multiply(inverse(Y_12),multiply(inverse(inverse(X_13)),W_9))),Z_10),inverse(multiply(Y_12,Z_10)))) ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_320,plain,
! [Y_19,X_20,W_21,Z_22] : ( inverse(multiply(multiply(inverse(multiply(inverse(Y_19),multiply(inverse(inverse(X_20)),multiply(inverse(X_20),W_21)))),Z_22),inverse(multiply(Y_19,Z_22)))) = W_21 ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_2]) ).
tff(c_102,plain,
! [X_13,Y_14,W_9,Z_11] : ( multiply(inverse(X_13),multiply(X_13,inverse(multiply(multiply(inverse(multiply(inverse(Y_14),W_9)),Z_11),inverse(multiply(Y_14,Z_11)))))) = W_9 ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_2]) ).
tff(c_347,plain,
! [X_20,W_21,X_13] : ( multiply(inverse(inverse(X_20)),multiply(inverse(X_20),W_21)) = multiply(inverse(X_13),multiply(X_13,W_21)) ),
inference(superposition,[status(thm),theory(equality)],[c_320,c_102]) ).
tff(c_121,plain,
! [Y_12,X_13,W_3,Z_10] : ( inverse(multiply(multiply(inverse(multiply(inverse(Y_12),multiply(inverse(inverse(X_13)),multiply(inverse(X_13),W_3)))),Z_10),inverse(multiply(Y_12,Z_10)))) = W_3 ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_2]) ).
tff(c_652,plain,
! [Y_12,X_13,W_3,Z_10] : ( inverse(multiply(multiply(inverse(multiply(inverse(Y_12),multiply(inverse(X_13),multiply(X_13,W_3)))),Z_10),inverse(multiply(Y_12,Z_10)))) = W_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_347,c_121]) ).
tff(c_653,plain,
! [X_29,W_30,X_31] : ( multiply(inverse(inverse(X_29)),multiply(inverse(X_29),W_30)) = multiply(inverse(X_31),multiply(X_31,W_30)) ),
inference(superposition,[status(thm),theory(equality)],[c_320,c_102]) ).
tff(c_672,plain,
! [X_31,W_30,X_13] : ( multiply(inverse(X_31),multiply(X_31,W_30)) = multiply(inverse(X_13),multiply(X_13,W_30)) ),
inference(superposition,[status(thm),theory(equality)],[c_653,c_347]) ).
tff(c_1679,plain,
! [Y_43,X_44,W_45,Z_46] : ( inverse(multiply(multiply(inverse(multiply(inverse(Y_43),multiply(inverse(X_44),multiply(X_44,W_45)))),Z_46),inverse(multiply(Y_43,Z_46)))) = W_45 ),
inference(demodulation,[status(thm),theory(equality)],[c_347,c_121]) ).
tff(c_1857,plain,
! [X_13,X_44,W_45,Z_46] : ( inverse(multiply(multiply(inverse(multiply(inverse(X_13),multiply(X_13,multiply(X_44,W_45)))),Z_46),inverse(multiply(inverse(X_44),Z_46)))) = W_45 ),
inference(superposition,[status(thm),theory(equality)],[c_672,c_1679]) ).
tff(c_1130,plain,
! [X_35,X_36,W_37,Z_38] : ( multiply(X_35,inverse(multiply(multiply(inverse(multiply(inverse(X_36),multiply(X_36,W_37))),Z_38),inverse(multiply(inverse(X_35),Z_38))))) = W_37 ),
inference(superposition,[status(thm),theory(equality)],[c_653,c_2]) ).
tff(c_9286,plain,
! [W_104,X_103,W_102,X_105,X_101] : ( multiply(X_103,inverse(multiply(multiply(inverse(X_105),multiply(X_105,W_104)),inverse(multiply(inverse(X_103),multiply(multiply(inverse(X_101),multiply(X_101,W_102)),W_104)))))) = W_102 ),
inference(superposition,[status(thm),theory(equality)],[c_672,c_1130]) ).
tff(c_9870,plain,
! [Y_14,W_9,W_102,Z_11,X_105,X_101] : ( multiply(multiply(inverse(X_101),multiply(X_101,W_102)),inverse(multiply(multiply(inverse(X_105),multiply(X_105,inverse(multiply(multiply(inverse(multiply(inverse(Y_14),W_9)),Z_11),inverse(multiply(Y_14,Z_11)))))),inverse(W_9)))) = W_102 ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_9286]) ).
tff(c_9944,plain,
! [X_101,W_102,W_9] : ( multiply(multiply(inverse(X_101),multiply(X_101,W_102)),inverse(multiply(W_9,inverse(W_9)))) = W_102 ),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_9870]) ).
tff(c_9953,plain,
! [X_106,W_107,W_108] : ( multiply(multiply(inverse(X_106),multiply(X_106,W_107)),inverse(multiply(W_108,inverse(W_108)))) = W_107 ),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_9870]) ).
tff(c_10850,plain,
! [X_113,W_114,X_115,W_116] : ( multiply(inverse(multiply(inverse(X_113),multiply(X_113,W_114))),W_114) = multiply(inverse(X_115),multiply(X_115,inverse(multiply(W_116,inverse(W_116))))) ),
inference(superposition,[status(thm),theory(equality)],[c_9953,c_672]) ).
tff(c_13457,plain,
! [X_129,X_130,W_131,W_132] : ( multiply(X_129,inverse(multiply(multiply(inverse(X_130),multiply(X_130,inverse(multiply(W_131,inverse(W_131))))),inverse(multiply(inverse(X_129),W_132))))) = W_132 ),
inference(superposition,[status(thm),theory(equality)],[c_10850,c_2]) ).
tff(c_13832,plain,
! [X_129,W_131] : ( multiply(X_129,inverse(inverse(multiply(W_131,inverse(W_131))))) = inverse(inverse(X_129)) ),
inference(superposition,[status(thm),theory(equality)],[c_9944,c_13457]) ).
tff(c_14080,plain,
! [X_133,W_134] : ( multiply(X_133,inverse(inverse(multiply(W_134,inverse(W_134))))) = inverse(inverse(X_133)) ),
inference(superposition,[status(thm),theory(equality)],[c_9944,c_13457]) ).
tff(c_14309,plain,
! [X_133,X_13,W_134] : ( multiply(inverse(X_133),inverse(inverse(X_133))) = multiply(inverse(X_13),multiply(X_13,inverse(inverse(multiply(W_134,inverse(W_134)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_14080,c_672]) ).
tff(c_14466,plain,
! [X_136,X_135] : ( multiply(inverse(X_136),inverse(inverse(X_136))) = multiply(inverse(X_135),inverse(inverse(X_135))) ),
inference(demodulation,[status(thm),theory(equality)],[c_13832,c_14309]) ).
tff(c_14991,plain,
! [X_44,Z_46,X_135,X_13,W_45] : ( multiply(inverse(X_135),inverse(inverse(X_135))) = multiply(W_45,inverse(inverse(multiply(multiply(inverse(multiply(inverse(X_13),multiply(X_13,multiply(X_44,W_45)))),Z_46),inverse(multiply(inverse(X_44),Z_46)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_1857,c_14466]) ).
tff(c_15045,plain,
! [X_137,W_138] : ( multiply(inverse(X_137),inverse(inverse(X_137))) = multiply(W_138,inverse(W_138)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1857,c_14991]) ).
tff(c_15037,plain,
! [X_135,W_45] : ( multiply(inverse(X_135),inverse(inverse(X_135))) = multiply(W_45,inverse(W_45)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1857,c_14991]) ).
tff(c_15699,plain,
! [W_140,W_139] : ( multiply(W_140,inverse(W_140)) = multiply(W_139,inverse(W_139)) ),
inference(superposition,[status(thm),theory(equality)],[c_15045,c_15037]) ).
tff(c_11366,plain,
! [Y_14,X_115,W_9,Z_11,X_113,W_116] : ( multiply(inverse(inverse(multiply(inverse(X_113),multiply(X_113,inverse(multiply(multiply(inverse(multiply(inverse(Y_14),W_9)),Z_11),inverse(multiply(Y_14,Z_11)))))))),multiply(inverse(X_115),multiply(X_115,inverse(multiply(W_116,inverse(W_116)))))) = W_9 ),
inference(superposition,[status(thm),theory(equality)],[c_10850,c_102]) ).
tff(c_11693,plain,
! [W_117,X_118,W_119] : ( multiply(inverse(inverse(W_117)),multiply(inverse(X_118),multiply(X_118,inverse(multiply(W_119,inverse(W_119)))))) = W_117 ),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_11366]) ).
tff(c_885,plain,
! [X_34,W_33,X_32] : ( multiply(inverse(X_34),multiply(X_34,W_33)) = multiply(inverse(X_32),multiply(X_32,W_33)) ),
inference(superposition,[status(thm),theory(equality)],[c_653,c_347]) ).
tff(c_1062,plain,
! [X_13,X_31,W_30,X_32] : ( multiply(inverse(inverse(X_13)),multiply(inverse(X_31),multiply(X_31,W_30))) = multiply(inverse(X_32),multiply(X_32,multiply(X_13,W_30))) ),
inference(superposition,[status(thm),theory(equality)],[c_672,c_885]) ).
tff(c_11894,plain,
! [X_32,W_117,W_119] : ( multiply(inverse(X_32),multiply(X_32,multiply(W_117,inverse(multiply(W_119,inverse(W_119)))))) = W_117 ),
inference(superposition,[status(thm),theory(equality)],[c_11693,c_1062]) ).
tff(c_22712,plain,
! [X_167,W_168,W_169] : ( multiply(inverse(X_167),multiply(X_167,multiply(W_168,inverse(W_168)))) = multiply(W_169,inverse(W_169)) ),
inference(superposition,[status(thm),theory(equality)],[c_15699,c_11894]) ).
tff(c_23520,plain,
! [X_167,Z_4,W_168,X_1,Y_2] : ( multiply(X_1,inverse(multiply(multiply(inverse(multiply(inverse(Y_2),multiply(inverse(X_167),multiply(X_167,multiply(W_168,inverse(W_168)))))),Z_4),inverse(multiply(Y_2,Z_4))))) = inverse(inverse(X_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_22712,c_2]) ).
tff(c_23730,plain,
! [X_1,W_168] : ( multiply(X_1,multiply(W_168,inverse(W_168))) = inverse(inverse(X_1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_652,c_23520]) ).
tff(c_25053,plain,
! [X_174,W_175] : ( multiply(X_174,multiply(W_175,inverse(W_175))) = inverse(inverse(X_174)) ),
inference(demodulation,[status(thm),theory(equality)],[c_652,c_23520]) ).
tff(c_25684,plain,
! [X_176,W_177] : ( multiply(inverse(X_176),multiply(X_176,inverse(W_177))) = inverse(inverse(inverse(W_177))) ),
inference(superposition,[status(thm),theory(equality)],[c_25053,c_672]) ).
tff(c_26180,plain,
! [X_176,X_44,Z_46,X_13,W_45] : ( multiply(inverse(X_176),multiply(X_176,W_45)) = inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X_13),multiply(X_13,multiply(X_44,W_45)))),Z_46),inverse(multiply(inverse(X_44),Z_46)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_1857,c_25684]) ).
tff(c_26267,plain,
! [X_178,W_179] : ( multiply(inverse(X_178),multiply(X_178,W_179)) = inverse(inverse(W_179)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1857,c_26180]) ).
tff(c_27808,plain,
! [W_189,W_190] : ( inverse(inverse(multiply(W_189,inverse(multiply(W_190,inverse(W_190)))))) = W_189 ),
inference(superposition,[status(thm),theory(equality)],[c_11894,c_26267]) ).
tff(c_15065,plain,
! [W_138,W_131] : ( multiply(W_138,inverse(W_138)) = inverse(inverse(inverse(multiply(W_131,inverse(W_131))))) ),
inference(superposition,[status(thm),theory(equality)],[c_15045,c_13832]) ).
tff(c_28756,plain,
! [W_194,W_195] : ( multiply(W_194,inverse(W_194)) = inverse(multiply(W_195,inverse(W_195))) ),
inference(superposition,[status(thm),theory(equality)],[c_27808,c_15065]) ).
tff(c_26588,plain,
! [W_117,W_119] : ( inverse(inverse(multiply(W_117,inverse(multiply(W_119,inverse(W_119)))))) = W_117 ),
inference(superposition,[status(thm),theory(equality)],[c_11894,c_26267]) ).
tff(c_28799,plain,
! [W_117,W_194] : ( inverse(inverse(multiply(W_117,multiply(W_194,inverse(W_194))))) = W_117 ),
inference(superposition,[status(thm),theory(equality)],[c_28756,c_26588]) ).
tff(c_29539,plain,
! [W_117] : ( inverse(inverse(inverse(inverse(W_117)))) = W_117 ),
inference(demodulation,[status(thm),theory(equality)],[c_23730,c_28799]) ).
tff(c_26517,plain,
! [X_1,W_179,Z_4] : ( multiply(X_1,inverse(multiply(multiply(inverse(inverse(inverse(W_179))),Z_4),inverse(multiply(inverse(X_1),Z_4))))) = W_179 ),
inference(superposition,[status(thm),theory(equality)],[c_26267,c_2]) ).
tff(c_31622,plain,
! [W_204,W_205] : ( multiply(inverse(inverse(W_204)),multiply(W_205,inverse(W_205))) = W_204 ),
inference(superposition,[status(thm),theory(equality)],[c_28756,c_26517]) ).
tff(c_31649,plain,
! [X_1,W_179,W_205] : ( multiply(X_1,inverse(multiply(inverse(W_179),inverse(multiply(inverse(X_1),multiply(W_205,inverse(W_205))))))) = W_179 ),
inference(superposition,[status(thm),theory(equality)],[c_31622,c_26517]) ).
tff(c_32029,plain,
! [X_206,W_207] : ( multiply(X_206,inverse(multiply(inverse(W_207),X_206))) = W_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_29539,c_23730,c_31649]) ).
tff(c_32374,plain,
! [W_168,W_207] : ( multiply(multiply(W_168,inverse(W_168)),inverse(inverse(inverse(inverse(W_207))))) = W_207 ),
inference(superposition,[status(thm),theory(equality)],[c_23730,c_32029]) ).
tff(c_32500,plain,
! [W_168,W_207] : ( multiply(multiply(W_168,inverse(W_168)),W_207) = W_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_29539,c_32374]) ).
tff(c_11973,plain,
! [X_118,W_117,Z_4,W_119] : ( multiply(X_118,inverse(multiply(multiply(inverse(W_117),Z_4),inverse(multiply(inverse(W_117),Z_4))))) = multiply(X_118,inverse(multiply(W_119,inverse(W_119)))) ),
inference(superposition,[status(thm),theory(equality)],[c_11693,c_2]) ).
tff(c_32509,plain,
! [W_208,W_209] : ( multiply(multiply(W_208,inverse(W_208)),W_209) = W_209 ),
inference(demodulation,[status(thm),theory(equality)],[c_29539,c_32374]) ).
tff(c_32950,plain,
! [W_117,Z_4,W_119,W_209] : ( multiply(multiply(multiply(multiply(inverse(W_117),Z_4),inverse(multiply(inverse(W_117),Z_4))),inverse(multiply(W_119,inverse(W_119)))),W_209) = W_209 ),
inference(superposition,[status(thm),theory(equality)],[c_11973,c_32509]) ).
tff(c_33973,plain,
! [W_213,W_214] : ( multiply(inverse(multiply(W_213,inverse(W_213))),W_214) = W_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_32500,c_32950]) ).
tff(c_26248,plain,
! [X_176,W_45] : ( multiply(inverse(X_176),multiply(X_176,W_45)) = inverse(inverse(W_45)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1857,c_26180]) ).
tff(c_34093,plain,
! [W_213,W_45] : ( multiply(multiply(W_213,inverse(W_213)),W_45) = inverse(inverse(W_45)) ),
inference(superposition,[status(thm),theory(equality)],[c_33973,c_26248]) ).
tff(c_34581,plain,
! [W_45] : ( inverse(inverse(W_45)) = W_45 ),
inference(demodulation,[status(thm),theory(equality)],[c_32500,c_34093]) ).
tff(c_34634,plain,
! [W_215] : ( inverse(inverse(W_215)) = W_215 ),
inference(demodulation,[status(thm),theory(equality)],[c_32500,c_34093]) ).
tff(c_31973,plain,
! [X_1,W_179] : ( multiply(X_1,inverse(multiply(inverse(W_179),X_1))) = W_179 ),
inference(demodulation,[status(thm),theory(equality)],[c_29539,c_23730,c_31649]) ).
tff(c_34649,plain,
! [X_1,W_215] : ( multiply(X_1,inverse(multiply(W_215,X_1))) = inverse(W_215) ),
inference(superposition,[status(thm),theory(equality)],[c_34634,c_31973]) ).
tff(c_44187,plain,
! [X_275,W_276] : ( multiply(X_275,inverse(multiply(W_276,X_275))) = inverse(W_276) ),
inference(superposition,[status(thm),theory(equality)],[c_34634,c_31973]) ).
tff(c_34995,plain,
! [X_218,W_219] : ( multiply(inverse(X_218),multiply(X_218,W_219)) = W_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_34581,c_26248]) ).
tff(c_35148,plain,
! [W_45,W_219] : ( multiply(W_45,multiply(inverse(W_45),W_219)) = W_219 ),
inference(superposition,[status(thm),theory(equality)],[c_34581,c_34995]) ).
tff(c_44305,plain,
! [W_276,W_45] : ( inverse(multiply(W_276,inverse(W_45))) = multiply(W_45,inverse(W_276)) ),
inference(superposition,[status(thm),theory(equality)],[c_44187,c_35148]) ).
tff(c_34646,plain,
! [W_215,W_207] : ( multiply(multiply(inverse(W_215),W_215),W_207) = W_207 ),
inference(superposition,[status(thm),theory(equality)],[c_34634,c_32500]) ).
tff(c_35161,plain,
! [W_179,X_1] : ( inverse(multiply(inverse(W_179),X_1)) = multiply(inverse(X_1),W_179) ),
inference(superposition,[status(thm),theory(equality)],[c_31973,c_34995]) ).
tff(c_33050,plain,
! [W_119,W_209] : ( multiply(inverse(multiply(W_119,inverse(W_119))),W_209) = W_209 ),
inference(demodulation,[status(thm),theory(equality)],[c_32500,c_32950]) ).
tff(c_44694,plain,
! [W_277,W_278] : ( multiply(inverse(multiply(inverse(W_277),W_277)),W_278) = W_278 ),
inference(superposition,[status(thm),theory(equality)],[c_34634,c_33050]) ).
tff(c_45103,plain,
! [W_277,Y_2,W_278,Z_4] : ( multiply(multiply(inverse(W_277),W_277),inverse(multiply(multiply(inverse(multiply(inverse(Y_2),W_278)),Z_4),inverse(multiply(Y_2,Z_4))))) = W_278 ),
inference(superposition,[status(thm),theory(equality)],[c_44694,c_2]) ).
tff(c_71938,plain,
! [Y_2,Z_4,W_278] : ( multiply(multiply(Y_2,Z_4),inverse(multiply(multiply(inverse(W_278),Y_2),Z_4))) = W_278 ),
inference(demodulation,[status(thm),theory(equality)],[c_44305,c_34646,c_35161,c_45103]) ).
tff(c_96,plain,
! [Y_14,Y_12,W_9,Z_10,Z_4,W_3,Z_11,X_13,Y_2] : ( multiply(multiply(multiply(inverse(multiply(inverse(Y_12),multiply(inverse(inverse(X_13)),W_9))),Z_10),inverse(multiply(Y_12,Z_10))),inverse(multiply(multiply(inverse(multiply(inverse(Y_2),multiply(multiply(X_13,inverse(multiply(multiply(inverse(multiply(inverse(Y_14),W_9)),Z_11),inverse(multiply(Y_14,Z_11))))),W_3))),Z_4),inverse(multiply(Y_2,Z_4))))) = W_3 ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_2]) ).
tff(c_91521,plain,
! [X_509,W_506,Y_507,W_510,Z_508] : ( multiply(multiply(multiply(multiply(inverse(multiply(X_509,W_506)),Y_507),Z_508),inverse(multiply(Y_507,Z_508))),multiply(multiply(X_509,W_506),W_510)) = W_510 ),
inference(demodulation,[status(thm),theory(equality)],[c_71938,c_71938,c_44305,c_44305,c_35161,c_35161,c_35161,c_34581,c_96]) ).
tff(c_113,plain,
! [Y_14,Y_12,W_9,Z_10,W_3,Z_11,X_1,X_13] : ( multiply(X_1,inverse(multiply(multiply(inverse(multiply(inverse(X_13),multiply(inverse(X_1),W_3))),inverse(multiply(multiply(inverse(multiply(inverse(Y_14),W_9)),Z_11),inverse(multiply(Y_14,Z_11))))),inverse(inverse(multiply(multiply(inverse(multiply(inverse(Y_12),multiply(inverse(inverse(X_13)),W_9))),Z_10),inverse(multiply(Y_12,Z_10)))))))) = W_3 ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_2]) ).
tff(c_79412,plain,
! [Y_12,W_9,Z_10,W_3,X_1,X_13] : ( multiply(X_1,inverse(multiply(multiply(multiply(multiply(inverse(W_3),X_1),X_13),W_9),multiply(multiply(multiply(inverse(multiply(X_13,W_9)),Y_12),Z_10),inverse(multiply(Y_12,Z_10)))))) = W_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_71938,c_44305,c_35161,c_35161,c_35161,c_35161,c_34581,c_34581,c_113]) ).
tff(c_91609,plain,
! [Z_508,Y_507,Y_12,W_506] : ( multiply(multiply(inverse(multiply(Z_508,inverse(multiply(Y_507,Z_508)))),Y_12),W_506) = multiply(Y_507,inverse(inverse(multiply(Y_12,W_506)))) ),
inference(superposition,[status(thm),theory(equality)],[c_91521,c_79412]) ).
tff(c_92549,plain,
! [Y_507,Y_12,W_506] : ( multiply(multiply(Y_507,Y_12),W_506) = multiply(Y_507,multiply(Y_12,W_506)) ),
inference(demodulation,[status(thm),theory(equality)],[c_34581,c_34649,c_34581,c_91609]) ).
tff(c_4,plain,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_118274,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_92549,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.35 % Computer : n009.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Thu Aug 3 22:08:08 EDT 2023
% 0.16/0.35 % CPUTime :
% 62.34/27.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.34/27.18
% 62.34/27.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 62.34/27.22
% 62.34/27.22 Inference rules
% 62.34/27.22 ----------------------
% 62.34/27.22 #Ref : 0
% 62.34/27.22 #Sup : 29443
% 62.34/27.22 #Fact : 0
% 62.34/27.22 #Define : 0
% 62.34/27.22 #Split : 0
% 62.34/27.22 #Chain : 0
% 62.34/27.22 #Close : 0
% 62.34/27.22
% 62.34/27.22 Ordering : KBO
% 62.34/27.22
% 62.34/27.22 Simplification rules
% 62.34/27.22 ----------------------
% 62.34/27.22 #Subsume : 1672
% 62.34/27.22 #Demod : 34157
% 62.34/27.22 #Tautology : 4459
% 62.34/27.22 #SimpNegUnit : 0
% 62.34/27.22 #BackRed : 109
% 62.34/27.22
% 62.34/27.22 #Partial instantiations: 0
% 62.34/27.22 #Strategies tried : 1
% 62.34/27.22
% 62.34/27.22 Timing (in seconds)
% 62.34/27.22 ----------------------
% 62.34/27.22 Preprocessing : 0.38
% 62.34/27.22 Parsing : 0.20
% 62.34/27.22 CNF conversion : 0.02
% 62.34/27.22 Main loop : 25.75
% 62.34/27.22 Inferencing : 5.80
% 62.34/27.22 Reduction : 16.34
% 62.34/27.22 Demodulation : 15.43
% 62.34/27.22 BG Simplification : 1.11
% 62.34/27.22 Subsumption : 1.29
% 62.34/27.22 Abstraction : 2.07
% 62.34/27.22 MUC search : 0.00
% 62.34/27.22 Cooper : 0.00
% 62.34/27.22 Total : 26.20
% 62.34/27.22 Index Insertion : 0.00
% 62.34/27.23 Index Deletion : 0.00
% 62.34/27.23 Index Matching : 0.00
% 62.34/27.23 BG Taut test : 0.00
%------------------------------------------------------------------------------