TSTP Solution File: GRP429-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP429-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n023.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 10:41:13 EDT 2023
% Result : Unsatisfiable 61.45s 25.84s
% Output : CNFRefutation 61.45s
% 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 > c3 > b3 > a3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a3,type,
a3: $i ).
tff(c3,type,
c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $i ).
tff(f_24,axiom,
! [A,B,C,D] : ( multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C ),
file(unknown,unknown) ).
tff(f_26,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_5,plain,
! [A_5,B_6,C_7,D_8] : ( multiply(A_5,inverse(multiply(multiply(inverse(multiply(inverse(B_6),multiply(inverse(A_5),C_7))),D_8),inverse(multiply(B_6,D_8))))) = C_7 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_2,plain,
! [A_1,B_2,C_3,D_4] : ( multiply(A_1,inverse(multiply(multiply(inverse(multiply(inverse(B_2),multiply(inverse(A_1),C_3))),D_4),inverse(multiply(B_2,D_4))))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_36,plain,
! [D_9,D_11,C_12,B_10,B_13,A_14] : ( multiply(A_14,inverse(multiply(multiply(inverse(multiply(inverse(B_13),C_12)),D_11),inverse(multiply(B_13,D_11))))) = inverse(multiply(multiply(inverse(multiply(inverse(B_10),multiply(inverse(inverse(A_14)),C_12))),D_9),inverse(multiply(B_10,D_9)))) ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_320,plain,
! [B_19,A_20,C_21,D_22] : ( inverse(multiply(multiply(inverse(multiply(inverse(B_19),multiply(inverse(inverse(A_20)),multiply(inverse(A_20),C_21)))),D_22),inverse(multiply(B_19,D_22)))) = C_21 ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_2]) ).
tff(c_102,plain,
! [A_14,B_13,C_12,D_11] : ( multiply(inverse(A_14),multiply(A_14,inverse(multiply(multiply(inverse(multiply(inverse(B_13),C_12)),D_11),inverse(multiply(B_13,D_11)))))) = C_12 ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_2]) ).
tff(c_347,plain,
! [A_20,C_21,A_14] : ( multiply(inverse(inverse(A_20)),multiply(inverse(A_20),C_21)) = multiply(inverse(A_14),multiply(A_14,C_21)) ),
inference(superposition,[status(thm),theory(equality)],[c_320,c_102]) ).
tff(c_121,plain,
! [B_10,A_14,C_3,D_9] : ( inverse(multiply(multiply(inverse(multiply(inverse(B_10),multiply(inverse(inverse(A_14)),multiply(inverse(A_14),C_3)))),D_9),inverse(multiply(B_10,D_9)))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_2]) ).
tff(c_652,plain,
! [B_10,A_14,C_3,D_9] : ( inverse(multiply(multiply(inverse(multiply(inverse(B_10),multiply(inverse(A_14),multiply(A_14,C_3)))),D_9),inverse(multiply(B_10,D_9)))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_347,c_121]) ).
tff(c_653,plain,
! [A_29,C_30,A_31] : ( multiply(inverse(inverse(A_29)),multiply(inverse(A_29),C_30)) = multiply(inverse(A_31),multiply(A_31,C_30)) ),
inference(superposition,[status(thm),theory(equality)],[c_320,c_102]) ).
tff(c_672,plain,
! [A_31,C_30,A_14] : ( multiply(inverse(A_31),multiply(A_31,C_30)) = multiply(inverse(A_14),multiply(A_14,C_30)) ),
inference(superposition,[status(thm),theory(equality)],[c_653,c_347]) ).
tff(c_1679,plain,
! [B_43,A_44,C_45,D_46] : ( inverse(multiply(multiply(inverse(multiply(inverse(B_43),multiply(inverse(A_44),multiply(A_44,C_45)))),D_46),inverse(multiply(B_43,D_46)))) = C_45 ),
inference(demodulation,[status(thm),theory(equality)],[c_347,c_121]) ).
tff(c_1857,plain,
! [A_14,A_44,C_45,D_46] : ( inverse(multiply(multiply(inverse(multiply(inverse(A_14),multiply(A_14,multiply(A_44,C_45)))),D_46),inverse(multiply(inverse(A_44),D_46)))) = C_45 ),
inference(superposition,[status(thm),theory(equality)],[c_672,c_1679]) ).
tff(c_1130,plain,
! [A_35,A_36,C_37,D_38] : ( multiply(A_35,inverse(multiply(multiply(inverse(multiply(inverse(A_36),multiply(A_36,C_37))),D_38),inverse(multiply(inverse(A_35),D_38))))) = C_37 ),
inference(superposition,[status(thm),theory(equality)],[c_653,c_2]) ).
tff(c_9286,plain,
! [A_102,C_104,C_105,A_101,A_103] : ( multiply(A_101,inverse(multiply(multiply(inverse(A_102),multiply(A_102,C_104)),inverse(multiply(inverse(A_101),multiply(multiply(inverse(A_103),multiply(A_103,C_105)),C_104)))))) = C_105 ),
inference(superposition,[status(thm),theory(equality)],[c_672,c_1130]) ).
tff(c_9870,plain,
! [A_102,D_11,C_12,C_105,B_13,A_103] : ( multiply(multiply(inverse(A_103),multiply(A_103,C_105)),inverse(multiply(multiply(inverse(A_102),multiply(A_102,inverse(multiply(multiply(inverse(multiply(inverse(B_13),C_12)),D_11),inverse(multiply(B_13,D_11)))))),inverse(C_12)))) = C_105 ),
inference(superposition,[status(thm),theory(equality)],[c_102,c_9286]) ).
tff(c_9944,plain,
! [A_103,C_105,C_12] : ( multiply(multiply(inverse(A_103),multiply(A_103,C_105)),inverse(multiply(C_12,inverse(C_12)))) = C_105 ),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_9870]) ).
tff(c_9953,plain,
! [A_106,C_107,C_108] : ( multiply(multiply(inverse(A_106),multiply(A_106,C_107)),inverse(multiply(C_108,inverse(C_108)))) = C_107 ),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_9870]) ).
tff(c_10850,plain,
! [A_113,C_114,A_115,C_116] : ( multiply(inverse(multiply(inverse(A_113),multiply(A_113,C_114))),C_114) = multiply(inverse(A_115),multiply(A_115,inverse(multiply(C_116,inverse(C_116))))) ),
inference(superposition,[status(thm),theory(equality)],[c_9953,c_672]) ).
tff(c_13457,plain,
! [A_129,A_130,C_131,C_132] : ( multiply(A_129,inverse(multiply(multiply(inverse(A_130),multiply(A_130,inverse(multiply(C_131,inverse(C_131))))),inverse(multiply(inverse(A_129),C_132))))) = C_132 ),
inference(superposition,[status(thm),theory(equality)],[c_10850,c_2]) ).
tff(c_13832,plain,
! [A_129,C_131] : ( multiply(A_129,inverse(inverse(multiply(C_131,inverse(C_131))))) = inverse(inverse(A_129)) ),
inference(superposition,[status(thm),theory(equality)],[c_9944,c_13457]) ).
tff(c_14080,plain,
! [A_133,C_134] : ( multiply(A_133,inverse(inverse(multiply(C_134,inverse(C_134))))) = inverse(inverse(A_133)) ),
inference(superposition,[status(thm),theory(equality)],[c_9944,c_13457]) ).
tff(c_14309,plain,
! [A_14,C_134,A_133] : ( multiply(inverse(A_14),multiply(A_14,inverse(inverse(multiply(C_134,inverse(C_134)))))) = multiply(inverse(A_133),inverse(inverse(A_133))) ),
inference(superposition,[status(thm),theory(equality)],[c_14080,c_672]) ).
tff(c_14466,plain,
! [A_136,A_135] : ( multiply(inverse(A_136),inverse(inverse(A_136))) = multiply(inverse(A_135),inverse(inverse(A_135))) ),
inference(demodulation,[status(thm),theory(equality)],[c_13832,c_14309]) ).
tff(c_14991,plain,
! [A_44,D_46,C_45,A_14,A_135] : ( multiply(inverse(A_135),inverse(inverse(A_135))) = multiply(C_45,inverse(inverse(multiply(multiply(inverse(multiply(inverse(A_14),multiply(A_14,multiply(A_44,C_45)))),D_46),inverse(multiply(inverse(A_44),D_46)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_1857,c_14466]) ).
tff(c_15045,plain,
! [A_137,C_138] : ( multiply(inverse(A_137),inverse(inverse(A_137))) = multiply(C_138,inverse(C_138)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1857,c_14991]) ).
tff(c_15037,plain,
! [A_135,C_45] : ( multiply(inverse(A_135),inverse(inverse(A_135))) = multiply(C_45,inverse(C_45)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1857,c_14991]) ).
tff(c_15699,plain,
! [C_140,C_139] : ( multiply(C_140,inverse(C_140)) = multiply(C_139,inverse(C_139)) ),
inference(superposition,[status(thm),theory(equality)],[c_15045,c_15037]) ).
tff(c_11366,plain,
! [A_113,D_11,C_12,A_115,B_13,C_116] : ( multiply(inverse(inverse(multiply(inverse(A_113),multiply(A_113,inverse(multiply(multiply(inverse(multiply(inverse(B_13),C_12)),D_11),inverse(multiply(B_13,D_11)))))))),multiply(inverse(A_115),multiply(A_115,inverse(multiply(C_116,inverse(C_116)))))) = C_12 ),
inference(superposition,[status(thm),theory(equality)],[c_10850,c_102]) ).
tff(c_11693,plain,
! [C_117,A_118,C_119] : ( multiply(inverse(inverse(C_117)),multiply(inverse(A_118),multiply(A_118,inverse(multiply(C_119,inverse(C_119)))))) = C_117 ),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_11366]) ).
tff(c_885,plain,
! [A_34,C_33,A_32] : ( multiply(inverse(A_34),multiply(A_34,C_33)) = multiply(inverse(A_32),multiply(A_32,C_33)) ),
inference(superposition,[status(thm),theory(equality)],[c_653,c_347]) ).
tff(c_1062,plain,
! [A_14,A_31,C_30,A_32] : ( multiply(inverse(inverse(A_14)),multiply(inverse(A_31),multiply(A_31,C_30))) = multiply(inverse(A_32),multiply(A_32,multiply(A_14,C_30))) ),
inference(superposition,[status(thm),theory(equality)],[c_672,c_885]) ).
tff(c_11894,plain,
! [A_32,C_117,C_119] : ( multiply(inverse(A_32),multiply(A_32,multiply(C_117,inverse(multiply(C_119,inverse(C_119)))))) = C_117 ),
inference(superposition,[status(thm),theory(equality)],[c_11693,c_1062]) ).
tff(c_22712,plain,
! [A_167,C_168,C_169] : ( multiply(inverse(A_167),multiply(A_167,multiply(C_168,inverse(C_168)))) = multiply(C_169,inverse(C_169)) ),
inference(superposition,[status(thm),theory(equality)],[c_15699,c_11894]) ).
tff(c_23520,plain,
! [A_167,B_2,A_1,D_4,C_168] : ( multiply(A_1,inverse(multiply(multiply(inverse(multiply(inverse(B_2),multiply(inverse(A_167),multiply(A_167,multiply(C_168,inverse(C_168)))))),D_4),inverse(multiply(B_2,D_4))))) = inverse(inverse(A_1)) ),
inference(superposition,[status(thm),theory(equality)],[c_22712,c_2]) ).
tff(c_23730,plain,
! [A_1,C_168] : ( multiply(A_1,multiply(C_168,inverse(C_168))) = inverse(inverse(A_1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_652,c_23520]) ).
tff(c_25053,plain,
! [A_174,C_175] : ( multiply(A_174,multiply(C_175,inverse(C_175))) = inverse(inverse(A_174)) ),
inference(demodulation,[status(thm),theory(equality)],[c_652,c_23520]) ).
tff(c_25684,plain,
! [A_176,C_177] : ( multiply(inverse(A_176),multiply(A_176,inverse(C_177))) = inverse(inverse(inverse(C_177))) ),
inference(superposition,[status(thm),theory(equality)],[c_25053,c_672]) ).
tff(c_26180,plain,
! [A_176,A_44,D_46,C_45,A_14] : ( multiply(inverse(A_176),multiply(A_176,C_45)) = inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(A_14),multiply(A_14,multiply(A_44,C_45)))),D_46),inverse(multiply(inverse(A_44),D_46)))))) ),
inference(superposition,[status(thm),theory(equality)],[c_1857,c_25684]) ).
tff(c_26267,plain,
! [A_178,C_179] : ( multiply(inverse(A_178),multiply(A_178,C_179)) = inverse(inverse(C_179)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1857,c_26180]) ).
tff(c_27808,plain,
! [C_189,C_190] : ( inverse(inverse(multiply(C_189,inverse(multiply(C_190,inverse(C_190)))))) = C_189 ),
inference(superposition,[status(thm),theory(equality)],[c_11894,c_26267]) ).
tff(c_15065,plain,
! [C_138,C_131] : ( multiply(C_138,inverse(C_138)) = inverse(inverse(inverse(multiply(C_131,inverse(C_131))))) ),
inference(superposition,[status(thm),theory(equality)],[c_15045,c_13832]) ).
tff(c_28756,plain,
! [C_194,C_195] : ( multiply(C_194,inverse(C_194)) = inverse(multiply(C_195,inverse(C_195))) ),
inference(superposition,[status(thm),theory(equality)],[c_27808,c_15065]) ).
tff(c_26588,plain,
! [C_117,C_119] : ( inverse(inverse(multiply(C_117,inverse(multiply(C_119,inverse(C_119)))))) = C_117 ),
inference(superposition,[status(thm),theory(equality)],[c_11894,c_26267]) ).
tff(c_28799,plain,
! [C_117,C_194] : ( inverse(inverse(multiply(C_117,multiply(C_194,inverse(C_194))))) = C_117 ),
inference(superposition,[status(thm),theory(equality)],[c_28756,c_26588]) ).
tff(c_29539,plain,
! [C_117] : ( inverse(inverse(inverse(inverse(C_117)))) = C_117 ),
inference(demodulation,[status(thm),theory(equality)],[c_23730,c_28799]) ).
tff(c_26517,plain,
! [A_1,C_179,D_4] : ( multiply(A_1,inverse(multiply(multiply(inverse(inverse(inverse(C_179))),D_4),inverse(multiply(inverse(A_1),D_4))))) = C_179 ),
inference(superposition,[status(thm),theory(equality)],[c_26267,c_2]) ).
tff(c_31622,plain,
! [C_204,C_205] : ( multiply(inverse(inverse(C_204)),multiply(C_205,inverse(C_205))) = C_204 ),
inference(superposition,[status(thm),theory(equality)],[c_28756,c_26517]) ).
tff(c_31649,plain,
! [A_1,C_179,C_205] : ( multiply(A_1,inverse(multiply(inverse(C_179),inverse(multiply(inverse(A_1),multiply(C_205,inverse(C_205))))))) = C_179 ),
inference(superposition,[status(thm),theory(equality)],[c_31622,c_26517]) ).
tff(c_32029,plain,
! [A_206,C_207] : ( multiply(A_206,inverse(multiply(inverse(C_207),A_206))) = C_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_29539,c_23730,c_31649]) ).
tff(c_32374,plain,
! [C_168,C_207] : ( multiply(multiply(C_168,inverse(C_168)),inverse(inverse(inverse(inverse(C_207))))) = C_207 ),
inference(superposition,[status(thm),theory(equality)],[c_23730,c_32029]) ).
tff(c_32500,plain,
! [C_168,C_207] : ( multiply(multiply(C_168,inverse(C_168)),C_207) = C_207 ),
inference(demodulation,[status(thm),theory(equality)],[c_29539,c_32374]) ).
tff(c_11973,plain,
! [A_118,C_117,D_4,C_119] : ( multiply(A_118,inverse(multiply(multiply(inverse(C_117),D_4),inverse(multiply(inverse(C_117),D_4))))) = multiply(A_118,inverse(multiply(C_119,inverse(C_119)))) ),
inference(superposition,[status(thm),theory(equality)],[c_11693,c_2]) ).
tff(c_32509,plain,
! [C_208,C_209] : ( multiply(multiply(C_208,inverse(C_208)),C_209) = C_209 ),
inference(demodulation,[status(thm),theory(equality)],[c_29539,c_32374]) ).
tff(c_32950,plain,
! [C_117,D_4,C_119,C_209] : ( multiply(multiply(multiply(multiply(inverse(C_117),D_4),inverse(multiply(inverse(C_117),D_4))),inverse(multiply(C_119,inverse(C_119)))),C_209) = C_209 ),
inference(superposition,[status(thm),theory(equality)],[c_11973,c_32509]) ).
tff(c_33973,plain,
! [C_213,C_214] : ( multiply(inverse(multiply(C_213,inverse(C_213))),C_214) = C_214 ),
inference(demodulation,[status(thm),theory(equality)],[c_32500,c_32950]) ).
tff(c_26248,plain,
! [A_176,C_45] : ( multiply(inverse(A_176),multiply(A_176,C_45)) = inverse(inverse(C_45)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1857,c_26180]) ).
tff(c_34093,plain,
! [C_213,C_45] : ( multiply(multiply(C_213,inverse(C_213)),C_45) = inverse(inverse(C_45)) ),
inference(superposition,[status(thm),theory(equality)],[c_33973,c_26248]) ).
tff(c_34581,plain,
! [C_45] : ( inverse(inverse(C_45)) = C_45 ),
inference(demodulation,[status(thm),theory(equality)],[c_32500,c_34093]) ).
tff(c_34634,plain,
! [C_215] : ( inverse(inverse(C_215)) = C_215 ),
inference(demodulation,[status(thm),theory(equality)],[c_32500,c_34093]) ).
tff(c_31973,plain,
! [A_1,C_179] : ( multiply(A_1,inverse(multiply(inverse(C_179),A_1))) = C_179 ),
inference(demodulation,[status(thm),theory(equality)],[c_29539,c_23730,c_31649]) ).
tff(c_34649,plain,
! [A_1,C_215] : ( multiply(A_1,inverse(multiply(C_215,A_1))) = inverse(C_215) ),
inference(superposition,[status(thm),theory(equality)],[c_34634,c_31973]) ).
tff(c_44187,plain,
! [A_275,C_276] : ( multiply(A_275,inverse(multiply(C_276,A_275))) = inverse(C_276) ),
inference(superposition,[status(thm),theory(equality)],[c_34634,c_31973]) ).
tff(c_34995,plain,
! [A_218,C_219] : ( multiply(inverse(A_218),multiply(A_218,C_219)) = C_219 ),
inference(demodulation,[status(thm),theory(equality)],[c_34581,c_26248]) ).
tff(c_35148,plain,
! [C_45,C_219] : ( multiply(C_45,multiply(inverse(C_45),C_219)) = C_219 ),
inference(superposition,[status(thm),theory(equality)],[c_34581,c_34995]) ).
tff(c_44305,plain,
! [C_276,C_45] : ( inverse(multiply(C_276,inverse(C_45))) = multiply(C_45,inverse(C_276)) ),
inference(superposition,[status(thm),theory(equality)],[c_44187,c_35148]) ).
tff(c_34646,plain,
! [C_215,C_207] : ( multiply(multiply(inverse(C_215),C_215),C_207) = C_207 ),
inference(superposition,[status(thm),theory(equality)],[c_34634,c_32500]) ).
tff(c_35161,plain,
! [C_179,A_1] : ( inverse(multiply(inverse(C_179),A_1)) = multiply(inverse(A_1),C_179) ),
inference(superposition,[status(thm),theory(equality)],[c_31973,c_34995]) ).
tff(c_33050,plain,
! [C_119,C_209] : ( multiply(inverse(multiply(C_119,inverse(C_119))),C_209) = C_209 ),
inference(demodulation,[status(thm),theory(equality)],[c_32500,c_32950]) ).
tff(c_44694,plain,
! [C_277,C_278] : ( multiply(inverse(multiply(inverse(C_277),C_277)),C_278) = C_278 ),
inference(superposition,[status(thm),theory(equality)],[c_34634,c_33050]) ).
tff(c_45103,plain,
! [C_277,B_2,C_278,D_4] : ( multiply(multiply(inverse(C_277),C_277),inverse(multiply(multiply(inverse(multiply(inverse(B_2),C_278)),D_4),inverse(multiply(B_2,D_4))))) = C_278 ),
inference(superposition,[status(thm),theory(equality)],[c_44694,c_2]) ).
tff(c_71938,plain,
! [B_2,D_4,C_278] : ( multiply(multiply(B_2,D_4),inverse(multiply(multiply(inverse(C_278),B_2),D_4))) = C_278 ),
inference(demodulation,[status(thm),theory(equality)],[c_44305,c_34646,c_35161,c_45103]) ).
tff(c_96,plain,
! [D_9,D_11,C_12,B_2,C_3,B_10,D_4,B_13,A_14] : ( multiply(multiply(multiply(inverse(multiply(inverse(B_10),multiply(inverse(inverse(A_14)),C_12))),D_9),inverse(multiply(B_10,D_9))),inverse(multiply(multiply(inverse(multiply(inverse(B_2),multiply(multiply(A_14,inverse(multiply(multiply(inverse(multiply(inverse(B_13),C_12)),D_11),inverse(multiply(B_13,D_11))))),C_3))),D_4),inverse(multiply(B_2,D_4))))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_2]) ).
tff(c_91009,plain,
! [D_507,C_510,A_509,C_508,B_506] : ( multiply(multiply(multiply(multiply(inverse(multiply(A_509,C_510)),B_506),D_507),inverse(multiply(B_506,D_507))),multiply(multiply(A_509,C_510),C_508)) = C_508 ),
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,
! [D_9,D_11,C_12,C_3,A_1,B_10,B_13,A_14] : ( multiply(A_1,inverse(multiply(multiply(inverse(multiply(inverse(A_14),multiply(inverse(A_1),C_3))),inverse(multiply(multiply(inverse(multiply(inverse(B_13),C_12)),D_11),inverse(multiply(B_13,D_11))))),inverse(inverse(multiply(multiply(inverse(multiply(inverse(B_10),multiply(inverse(inverse(A_14)),C_12))),D_9),inverse(multiply(B_10,D_9)))))))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_36,c_2]) ).
tff(c_82298,plain,
! [D_9,C_12,C_3,A_1,B_10,A_14] : ( multiply(A_1,inverse(multiply(multiply(multiply(multiply(inverse(C_3),A_1),A_14),C_12),multiply(multiply(multiply(inverse(multiply(A_14,C_12)),B_10),D_9),inverse(multiply(B_10,D_9)))))) = C_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_91088,plain,
! [D_507,B_506,B_10,C_510] : ( multiply(multiply(inverse(multiply(D_507,inverse(multiply(B_506,D_507)))),B_10),C_510) = multiply(B_506,inverse(inverse(multiply(B_10,C_510)))) ),
inference(superposition,[status(thm),theory(equality)],[c_91009,c_82298]) ).
tff(c_92008,plain,
! [B_506,B_10,C_510] : ( multiply(multiply(B_506,B_10),C_510) = multiply(B_506,multiply(B_10,C_510)) ),
inference(demodulation,[status(thm),theory(equality)],[c_34581,c_34649,c_34581,c_91088]) ).
tff(c_4,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_115178,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_92008,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP429-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.14 % 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
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 22:36:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 61.45/25.84 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.45/25.85
% 61.45/25.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 61.45/25.89
% 61.45/25.89 Inference rules
% 61.45/25.89 ----------------------
% 61.45/25.89 #Ref : 0
% 61.45/25.89 #Sup : 28697
% 61.45/25.89 #Fact : 0
% 61.45/25.89 #Define : 0
% 61.45/25.89 #Split : 0
% 61.45/25.89 #Chain : 0
% 61.45/25.89 #Close : 0
% 61.45/25.89
% 61.45/25.89 Ordering : KBO
% 61.45/25.89
% 61.45/25.89 Simplification rules
% 61.45/25.89 ----------------------
% 61.45/25.89 #Subsume : 1663
% 61.45/25.89 #Demod : 32990
% 61.45/25.89 #Tautology : 4347
% 61.45/25.89 #SimpNegUnit : 0
% 61.45/25.89 #BackRed : 108
% 61.45/25.89
% 61.45/25.89 #Partial instantiations: 0
% 61.45/25.89 #Strategies tried : 1
% 61.45/25.89
% 61.45/25.89 Timing (in seconds)
% 61.45/25.89 ----------------------
% 61.45/25.90 Preprocessing : 0.38
% 61.45/25.90 Parsing : 0.20
% 61.45/25.90 CNF conversion : 0.02
% 61.45/25.90 Main loop : 24.37
% 61.45/25.90 Inferencing : 5.56
% 61.45/25.90 Reduction : 15.36
% 61.45/25.90 Demodulation : 14.51
% 61.45/25.90 BG Simplification : 1.05
% 61.45/25.90 Subsumption : 1.22
% 61.45/25.90 Abstraction : 1.97
% 61.45/25.90 MUC search : 0.00
% 61.45/25.90 Cooper : 0.00
% 61.45/25.90 Total : 24.82
% 61.45/25.90 Index Insertion : 0.00
% 61.45/25.90 Index Deletion : 0.00
% 61.45/25.90 Index Matching : 0.00
% 61.45/25.90 BG Taut test : 0.00
%------------------------------------------------------------------------------