TSTP Solution File: GRP504-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP504-1 : 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 : n021.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 10:41:24 EDT 2023
% Result : Unsatisfiable 249.08s 136.01s
% Output : CNFRefutation 249.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 9
% Syntax : Number of formulae : 164 ( 158 unt; 6 typ; 0 def)
% Number of atoms : 158 ( 157 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 644 (; 644 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > double_divide > #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(double_divide,type,
double_divide: ( $i * $i ) > $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(b3,type,
b3: $i ).
tff(f_25,axiom,
! [A,B] : ( multiply(A,B) = inverse(double_divide(B,A)) ),
file(unknown,unknown) ).
tff(f_23,axiom,
! [A,B,C,D] : ( double_divide(double_divide(A,inverse(double_divide(B,C))),double_divide(inverse(B),inverse(double_divide(D,double_divide(A,D))))) = C ),
file(unknown,unknown) ).
tff(f_27,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file(unknown,unknown) ).
tff(c_4,plain,
! [B_6,A_5] : ( inverse(double_divide(B_6,A_5)) = multiply(A_5,B_6) ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_2,plain,
! [A_1,B_2,C_3,D_4] : ( double_divide(double_divide(A_1,inverse(double_divide(B_2,C_3))),double_divide(inverse(B_2),inverse(double_divide(D_4,double_divide(A_1,D_4))))) = C_3 ),
inference(cnfTransformation,[status(thm)],[f_23]) ).
tff(c_17,plain,
! [A_9,C_10,B_11,D_12] : ( double_divide(double_divide(A_9,multiply(C_10,B_11)),double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12))) = C_10 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_7,plain,
! [A_1,C_3,B_2,D_4] : ( double_divide(double_divide(A_1,multiply(C_3,B_2)),double_divide(inverse(B_2),multiply(double_divide(A_1,D_4),D_4))) = C_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).
tff(c_20,plain,
! [B_11,B_2,C_3,C_10,D_12,A_9] : ( double_divide(double_divide(double_divide(A_9,multiply(C_10,B_11)),multiply(C_3,B_2)),double_divide(inverse(B_2),multiply(C_10,double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12))))) = C_3 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_26,plain,
! [B_11,A_9,D_12,C_10] : ( multiply(double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12)),double_divide(A_9,multiply(C_10,B_11))) = inverse(C_10) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_65,plain,
! [B_17,A_20,D_19,C_21,A_18] : ( double_divide(double_divide(A_20,multiply(C_21,double_divide(B_17,A_18))),double_divide(multiply(A_18,B_17),multiply(double_divide(A_20,D_19),D_19))) = C_21 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_17]) ).
tff(c_340,plain,
! [B_39,D_40,A_41,D_42,C_44,A_43] : ( double_divide(inverse(B_39),multiply(double_divide(A_43,D_40),D_40)) = double_divide(double_divide(A_41,inverse(C_44)),double_divide(multiply(multiply(C_44,B_39),A_43),multiply(double_divide(A_41,D_42),D_42))) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_65]) ).
tff(c_95,plain,
! [B_11,A_20,D_19,C_10,D_12,A_9] : ( double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12)) = double_divide(double_divide(A_20,inverse(C_10)),double_divide(multiply(multiply(C_10,B_11),A_9),multiply(double_divide(A_20,D_19),D_19))) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_65]) ).
tff(c_509,plain,
! [B_45,A_46,D_48,D_47] : ( double_divide(inverse(B_45),multiply(double_divide(A_46,D_48),D_48)) = double_divide(inverse(B_45),multiply(double_divide(A_46,D_47),D_47)) ),
inference(superposition,[status(thm),theory(equality)],[c_340,c_95]) ).
tff(c_766,plain,
! [A_49,D_50,B_51,D_52] : ( multiply(multiply(double_divide(A_49,D_50),D_50),inverse(B_51)) = inverse(double_divide(inverse(B_51),multiply(double_divide(A_49,D_52),D_52))) ),
inference(superposition,[status(thm),theory(equality)],[c_509,c_4]) ).
tff(c_823,plain,
! [B_11,B_51,D_52,C_10,D_50,A_49,D_12,A_9] : ( multiply(double_divide(A_49,D_50),D_50) = double_divide(double_divide(double_divide(A_9,multiply(C_10,B_11)),inverse(double_divide(inverse(B_51),multiply(double_divide(A_49,D_52),D_52)))),double_divide(inverse(inverse(B_51)),multiply(C_10,double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12))))) ),
inference(superposition,[status(thm),theory(equality)],[c_766,c_20]) ).
tff(c_932,plain,
! [A_53,D_55,D_54] : ( multiply(double_divide(A_53,D_55),D_55) = multiply(double_divide(A_53,D_54),D_54) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_4,c_823]) ).
tff(c_1099,plain,
! [D_55,A_53,A_1,D_4,D_54] : ( double_divide(double_divide(A_1,multiply(double_divide(A_53,D_54),D_54)),double_divide(inverse(D_55),multiply(double_divide(A_1,D_4),D_4))) = double_divide(A_53,D_55) ),
inference(superposition,[status(thm),theory(equality)],[c_932,c_7]) ).
tff(c_109,plain,
! [B_22,D_24,A_26,C_25,C_27,B_23] : ( double_divide(double_divide(double_divide(A_26,multiply(C_27,B_22)),multiply(C_25,B_23)),double_divide(inverse(B_23),multiply(C_27,double_divide(inverse(B_22),multiply(double_divide(A_26,D_24),D_24))))) = C_25 ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).
tff(c_145,plain,
! [B_22,B_11,D_24,A_26,C_10,C_27,D_12,A_9] : ( double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12)) = double_divide(double_divide(double_divide(A_26,multiply(C_27,B_22)),inverse(C_10)),double_divide(inverse(double_divide(A_9,multiply(C_10,B_11))),multiply(C_27,double_divide(inverse(B_22),multiply(double_divide(A_26,D_24),D_24))))) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_109]) ).
tff(c_162,plain,
! [B_22,B_11,D_24,A_26,C_10,C_27,D_12,A_9] : ( double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12)) = double_divide(double_divide(double_divide(A_26,multiply(C_27,B_22)),inverse(C_10)),double_divide(multiply(multiply(C_10,B_11),A_9),multiply(C_27,double_divide(inverse(B_22),multiply(double_divide(A_26,D_24),D_24))))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_145]) ).
tff(c_4185,plain,
! [A_108,D_107,A_104,D_105,D_106] : ( double_divide(double_divide(A_108,multiply(double_divide(A_104,D_105),D_105)),double_divide(inverse(D_107),multiply(double_divide(A_108,D_106),D_106))) = double_divide(A_104,D_107) ),
inference(superposition,[status(thm),theory(equality)],[c_932,c_7]) ).
tff(c_4450,plain,
! [A_108,B_6,A_5,A_104,D_105,D_106] : ( double_divide(double_divide(A_108,multiply(double_divide(A_104,D_105),D_105)),double_divide(multiply(A_5,B_6),multiply(double_divide(A_108,D_106),D_106))) = double_divide(A_104,double_divide(B_6,A_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_4185]) ).
tff(c_130,plain,
! [B_22,D_24,A_26,C_25,C_27,B_23] : ( multiply(double_divide(inverse(B_23),multiply(C_27,double_divide(inverse(B_22),multiply(double_divide(A_26,D_24),D_24)))),double_divide(double_divide(A_26,multiply(C_27,B_22)),multiply(C_25,B_23))) = inverse(C_25) ),
inference(superposition,[status(thm),theory(equality)],[c_109,c_4]) ).
tff(c_3308,plain,
! [C_96,D_95,B_94,A_97,D_93] : ( multiply(double_divide(double_divide(A_97,multiply(C_96,B_94)),D_95),D_95) = multiply(C_96,double_divide(inverse(B_94),multiply(double_divide(A_97,D_93),D_93))) ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_932]) ).
tff(c_3864,plain,
! [B_11,D_95,B_94,D_12,A_97] : ( multiply(double_divide(double_divide(A_97,multiply(double_divide(inverse(B_11),multiply(double_divide(inverse(B_94),D_12),D_12)),B_94)),D_95),D_95) = inverse(double_divide(A_97,B_11)) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_3308]) ).
tff(c_3906,plain,
! [B_11,D_95,B_94,D_12,A_97] : ( multiply(double_divide(double_divide(A_97,multiply(double_divide(inverse(B_11),multiply(double_divide(inverse(B_94),D_12),D_12)),B_94)),D_95),D_95) = multiply(B_11,A_97) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_3864]) ).
tff(c_924,plain,
! [A_49,D_52,D_50] : ( multiply(double_divide(A_49,D_52),D_52) = multiply(double_divide(A_49,D_50),D_50) ),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_4,c_823]) ).
tff(c_751,plain,
! [A_46,B_6,D_48,A_5,D_47] : ( double_divide(multiply(A_5,B_6),multiply(double_divide(A_46,D_47),D_47)) = double_divide(inverse(double_divide(B_6,A_5)),multiply(double_divide(A_46,D_48),D_48)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_509]) ).
tff(c_1509,plain,
! [D_63,A_66,D_64,A_67,B_65] : ( double_divide(multiply(A_66,B_65),multiply(double_divide(A_67,D_64),D_64)) = double_divide(multiply(A_66,B_65),multiply(double_divide(A_67,D_63),D_63)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_751]) ).
tff(c_17336,plain,
! [A_207,D_205,D_208,D_203,A_204,D_206] : ( double_divide(multiply(double_divide(A_207,D_208),D_208),multiply(double_divide(A_204,D_205),D_205)) = double_divide(multiply(double_divide(A_207,D_203),D_203),multiply(double_divide(A_204,D_206),D_206)) ),
inference(superposition,[status(thm),theory(equality)],[c_924,c_1509]) ).
tff(c_18176,plain,
! [A_207,B_11,B_94,D_208,D_203,D_12,A_97,D_206] : ( double_divide(multiply(double_divide(A_207,D_208),D_208),multiply(B_11,A_97)) = double_divide(multiply(double_divide(A_207,D_203),D_203),multiply(double_divide(double_divide(A_97,multiply(double_divide(inverse(B_11),multiply(double_divide(inverse(B_94),D_12),D_12)),B_94)),D_206),D_206)) ),
inference(superposition,[status(thm),theory(equality)],[c_3906,c_17336]) ).
tff(c_18475,plain,
! [A_209,B_210,D_211,D_213,A_212] : ( double_divide(multiply(double_divide(A_212,D_213),D_213),multiply(B_210,A_209)) = double_divide(multiply(double_divide(A_212,D_211),D_211),multiply(B_210,A_209)) ),
inference(demodulation,[status(thm),theory(equality)],[c_3906,c_18176]) ).
tff(c_19614,plain,
! [B_22,D_24,A_26,D_211,C_25,C_27,D_213,B_23,A_212] : ( double_divide(multiply(double_divide(A_212,D_213),D_213),inverse(C_25)) = double_divide(multiply(double_divide(A_212,D_211),D_211),multiply(double_divide(inverse(B_23),multiply(C_27,double_divide(inverse(B_22),multiply(double_divide(A_26,D_24),D_24)))),double_divide(double_divide(A_26,multiply(C_27,B_22)),multiply(C_25,B_23)))) ),
inference(superposition,[status(thm),theory(equality)],[c_130,c_18475]) ).
tff(c_20566,plain,
! [A_221,D_224,C_223,D_222] : ( double_divide(multiply(double_divide(A_221,D_224),D_224),inverse(C_223)) = double_divide(multiply(double_divide(A_221,D_222),D_222),inverse(C_223)) ),
inference(demodulation,[status(thm),theory(equality)],[c_130,c_19614]) ).
tff(c_21453,plain,
! [C_225,A_226,D_227,D_228] : ( multiply(inverse(C_225),multiply(double_divide(A_226,D_227),D_227)) = inverse(double_divide(multiply(double_divide(A_226,D_228),D_228),inverse(C_225))) ),
inference(superposition,[status(thm),theory(equality)],[c_20566,c_4]) ).
tff(c_21570,plain,
! [D_228,D_227,A_108,C_225,A_104,D_105,A_226,D_106] : ( double_divide(double_divide(A_108,multiply(double_divide(A_104,D_105),D_105)),double_divide(inverse(double_divide(multiply(double_divide(A_226,D_228),D_228),inverse(C_225))),multiply(double_divide(A_108,D_106),D_106))) = double_divide(A_104,double_divide(multiply(double_divide(A_226,D_227),D_227),inverse(C_225))) ),
inference(superposition,[status(thm),theory(equality)],[c_21453,c_4450]) ).
tff(c_35197,plain,
! [D_296,A_293,C_292,D_294,A_295] : ( double_divide(A_293,double_divide(multiply(double_divide(A_295,D_296),D_296),inverse(C_292))) = double_divide(A_293,double_divide(multiply(double_divide(A_295,D_294),D_294),inverse(C_292))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_4,c_21570]) ).
tff(c_37987,plain,
! [A_308,C_307,D_309,D_306,A_305] : ( multiply(double_divide(multiply(double_divide(A_308,D_306),D_306),inverse(C_307)),A_305) = inverse(double_divide(A_305,double_divide(multiply(double_divide(A_308,D_309),D_309),inverse(C_307)))) ),
inference(superposition,[status(thm),theory(equality)],[c_35197,c_4]) ).
tff(c_38564,plain,
! [A_308,D_55,A_1,D_4,C_307,D_309,D_306] : ( double_divide(multiply(double_divide(A_308,D_306),D_306),D_55) = double_divide(double_divide(A_1,inverse(double_divide(inverse(C_307),double_divide(multiply(double_divide(A_308,D_309),D_309),inverse(C_307))))),double_divide(inverse(D_55),multiply(double_divide(A_1,D_4),D_4))) ),
inference(superposition,[status(thm),theory(equality)],[c_37987,c_1099]) ).
tff(c_39630,plain,
! [A_310,D_313,D_312,D_311] : ( double_divide(multiply(double_divide(A_310,D_313),D_313),D_312) = double_divide(multiply(double_divide(A_310,D_311),D_311),D_312) ),
inference(demodulation,[status(thm),theory(equality)],[c_1099,c_4,c_38564]) ).
tff(c_43084,plain,
! [D_318,A_319,D_320,D_321] : ( multiply(D_318,multiply(double_divide(A_319,D_320),D_320)) = inverse(double_divide(multiply(double_divide(A_319,D_321),D_321),D_318)) ),
inference(superposition,[status(thm),theory(equality)],[c_39630,c_4]) ).
tff(c_43591,plain,
! [A_108,D_321,A_319,A_104,D_105,D_320,D_318,D_106] : ( double_divide(double_divide(A_108,multiply(double_divide(A_104,D_105),D_105)),double_divide(inverse(double_divide(multiply(double_divide(A_319,D_321),D_321),D_318)),multiply(double_divide(A_108,D_106),D_106))) = double_divide(A_104,double_divide(multiply(double_divide(A_319,D_320),D_320),D_318)) ),
inference(superposition,[status(thm),theory(equality)],[c_43084,c_4450]) ).
tff(c_51134,plain,
! [D_346,A_348,A_344,D_347,D_345] : ( double_divide(A_344,double_divide(multiply(double_divide(A_348,D_347),D_347),D_346)) = double_divide(A_344,double_divide(multiply(double_divide(A_348,D_345),D_345),D_346)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_4,c_43591]) ).
tff(c_55326,plain,
! [D_366,D_363,A_362,A_365,D_364] : ( multiply(double_divide(multiply(double_divide(A_362,D_364),D_364),D_366),A_365) = inverse(double_divide(A_365,double_divide(multiply(double_divide(A_362,D_363),D_363),D_366))) ),
inference(superposition,[status(thm),theory(equality)],[c_51134,c_4]) ).
tff(c_1084,plain,
! [D_55,A_53,D_54,D_12,A_9] : ( multiply(double_divide(inverse(D_54),multiply(double_divide(A_9,D_12),D_12)),double_divide(A_9,multiply(double_divide(A_53,D_55),D_55))) = inverse(double_divide(A_53,D_54)) ),
inference(superposition,[status(thm),theory(equality)],[c_932,c_26]) ).
tff(c_3086,plain,
! [A_88,D_91,A_92,D_89,D_90] : ( multiply(double_divide(inverse(D_89),multiply(double_divide(A_92,D_90),D_90)),double_divide(A_92,multiply(double_divide(A_88,D_91),D_91))) = multiply(D_89,A_88) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_1084]) ).
tff(c_3276,plain,
! [B_6,A_88,D_91,A_92,A_5,D_90] : ( multiply(double_divide(multiply(A_5,B_6),multiply(double_divide(A_92,D_90),D_90)),double_divide(A_92,multiply(double_divide(A_88,D_91),D_91))) = multiply(double_divide(B_6,A_5),A_88) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_3086]) ).
tff(c_55884,plain,
! [A_88,D_91,A_92,D_363,A_362,D_364,D_90] : ( multiply(double_divide(D_364,double_divide(A_362,D_364)),A_88) = inverse(double_divide(double_divide(A_92,multiply(double_divide(A_88,D_91),D_91)),double_divide(multiply(double_divide(A_362,D_363),D_363),multiply(double_divide(A_92,D_90),D_90)))) ),
inference(superposition,[status(thm),theory(equality)],[c_55326,c_3276]) ).
tff(c_56791,plain,
! [D_364,A_362,A_88,D_363] : ( multiply(double_divide(D_364,double_divide(A_362,D_364)),A_88) = multiply(double_divide(D_363,double_divide(A_362,D_363)),A_88) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4450,c_55884]) ).
tff(c_78854,plain,
! [A_440,D_443,C_444,A_442,C_445,B_441] : ( double_divide(double_divide(A_442,multiply(C_444,B_441)),double_divide(double_divide(A_440,inverse(C_445)),double_divide(multiply(multiply(C_445,B_441),A_442),multiply(double_divide(A_440,D_443),D_443)))) = C_444 ),
inference(superposition,[status(thm),theory(equality)],[c_340,c_7]) ).
tff(c_79406,plain,
! [A_88,A_440,D_443,C_444,D_363,A_362,A_442,D_364] : ( double_divide(double_divide(A_442,multiply(C_444,A_88)),double_divide(double_divide(A_440,inverse(double_divide(D_363,double_divide(A_362,D_363)))),double_divide(multiply(multiply(double_divide(D_364,double_divide(A_362,D_364)),A_88),A_442),multiply(double_divide(A_440,D_443),D_443)))) = C_444 ),
inference(superposition,[status(thm),theory(equality)],[c_56791,c_78854]) ).
tff(c_102349,plain,
! [A_517,D_518,A_519,C_516,A_520] : ( double_divide(double_divide(A_519,multiply(C_516,A_520)),double_divide(A_517,double_divide(A_519,multiply(double_divide(D_518,double_divide(A_517,D_518)),A_520)))) = C_516 ),
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_4,c_79406]) ).
tff(c_103676,plain,
! [B_521,C_522,A_523,C_524] : ( double_divide(double_divide(inverse(B_521),multiply(C_522,double_divide(double_divide(A_523,multiply(C_524,B_521)),A_523))),C_524) = C_522 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_102349]) ).
tff(c_106463,plain,
! [C_529,B_530,C_531,A_532] : ( multiply(C_529,double_divide(inverse(B_530),multiply(C_531,double_divide(double_divide(A_532,multiply(C_529,B_530)),A_532)))) = inverse(C_531) ),
inference(superposition,[status(thm),theory(equality)],[c_103676,c_4]) ).
tff(c_106853,plain,
! [C_529,B_11,A_532,B_530,C_531,C_10,D_12,A_9] : ( double_divide(double_divide(double_divide(A_9,multiply(C_10,B_11)),inverse(C_531)),double_divide(inverse(double_divide(inverse(B_530),multiply(C_531,double_divide(double_divide(A_532,multiply(C_529,B_530)),A_532)))),multiply(C_10,double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12))))) = C_529 ),
inference(superposition,[status(thm),theory(equality)],[c_106463,c_20]) ).
tff(c_107538,plain,
! [A_532,C_529,B_530,D_12] : ( double_divide(multiply(A_532,double_divide(A_532,multiply(C_529,B_530))),multiply(double_divide(inverse(B_530),D_12),D_12)) = C_529 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_162,c_4,c_106853]) ).
tff(c_103643,plain,
! [B_2,C_516,A_1,C_3] : ( double_divide(double_divide(inverse(B_2),multiply(C_516,double_divide(double_divide(A_1,multiply(C_3,B_2)),A_1))),C_3) = C_516 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_102349]) ).
tff(c_106891,plain,
! [C_516,A_1,B_2,C_531] : ( multiply(C_516,double_divide(inverse(double_divide(double_divide(A_1,multiply(inverse(B_2),B_2)),A_1)),multiply(C_531,C_516))) = inverse(C_531) ),
inference(superposition,[status(thm),theory(equality)],[c_103643,c_106463]) ).
tff(c_111718,plain,
! [C_544,A_545,B_546,C_547] : ( multiply(C_544,double_divide(multiply(A_545,double_divide(A_545,multiply(inverse(B_546),B_546))),multiply(C_547,C_544))) = inverse(C_547) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_106891]) ).
tff(c_112117,plain,
! [B_11,C_544,C_547,C_10,A_545,B_546,D_12,A_9] : ( double_divide(double_divide(double_divide(A_9,multiply(C_10,B_11)),inverse(C_547)),double_divide(inverse(double_divide(multiply(A_545,double_divide(A_545,multiply(inverse(B_546),B_546))),multiply(C_547,C_544))),multiply(C_10,double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12))))) = C_544 ),
inference(superposition,[status(thm),theory(equality)],[c_111718,c_20]) ).
tff(c_114106,plain,
! [C_552,A_553,B_554,D_555] : ( double_divide(inverse(C_552),multiply(double_divide(multiply(A_553,double_divide(A_553,multiply(inverse(B_554),B_554))),D_555),D_555)) = C_552 ),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_4,c_112117]) ).
tff(c_115497,plain,
! [C_556,B_557,D_558] : ( double_divide(inverse(C_556),multiply(inverse(B_557),multiply(double_divide(inverse(B_557),D_558),D_558))) = C_556 ),
inference(superposition,[status(thm),theory(equality)],[c_107538,c_114106]) ).
tff(c_116717,plain,
! [B_559,D_560,C_561] : ( multiply(multiply(inverse(B_559),multiply(double_divide(inverse(B_559),D_560),D_560)),inverse(C_561)) = inverse(C_561) ),
inference(superposition,[status(thm),theory(equality)],[c_115497,c_4]) ).
tff(c_117502,plain,
! [B_559,D_560,A_5,B_6] : ( multiply(multiply(inverse(B_559),multiply(double_divide(inverse(B_559),D_560),D_560)),multiply(A_5,B_6)) = inverse(double_divide(B_6,A_5)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_116717]) ).
tff(c_117614,plain,
! [B_559,D_560,A_5,B_6] : ( multiply(multiply(inverse(B_559),multiply(double_divide(inverse(B_559),D_560),D_560)),multiply(A_5,B_6)) = multiply(A_5,B_6) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_117502]) ).
tff(c_56864,plain,
! [D_370,A_368,A_369,D_367] : ( multiply(double_divide(D_370,double_divide(A_368,D_370)),A_369) = multiply(double_divide(D_367,double_divide(A_368,D_367)),A_369) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4450,c_55884]) ).
tff(c_58611,plain,
! [D_373,D_374,D_371,A_372] : ( multiply(double_divide(D_373,D_374),D_374) = multiply(double_divide(D_371,double_divide(A_372,D_371)),double_divide(A_372,D_373)) ),
inference(superposition,[status(thm),theory(equality)],[c_56864,c_924]) ).
tff(c_59875,plain,
! [A_372,A_1,D_4,D_373,D_374,D_371] : ( double_divide(double_divide(A_1,multiply(double_divide(D_373,D_374),D_374)),double_divide(inverse(double_divide(A_372,D_373)),multiply(double_divide(A_1,D_4),D_4))) = double_divide(D_371,double_divide(A_372,D_371)) ),
inference(superposition,[status(thm),theory(equality)],[c_58611,c_7]) ).
tff(c_60392,plain,
! [D_373,A_372,D_371] : ( double_divide(D_373,double_divide(A_372,D_373)) = double_divide(D_371,double_divide(A_372,D_371)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_4,c_59875]) ).
tff(c_160071,plain,
! [B_670,D_671,C_672,D_673] : ( double_divide(multiply(inverse(B_670),multiply(double_divide(inverse(B_670),D_671),D_671)),C_672) = double_divide(D_673,double_divide(inverse(C_672),D_673)) ),
inference(superposition,[status(thm),theory(equality)],[c_115497,c_60392]) ).
tff(c_117496,plain,
! [A_5,B_6,D_560,C_561] : ( multiply(multiply(multiply(A_5,B_6),multiply(double_divide(inverse(double_divide(B_6,A_5)),D_560),D_560)),inverse(C_561)) = inverse(C_561) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_116717]) ).
tff(c_117612,plain,
! [A_5,B_6,D_560,C_561] : ( multiply(multiply(multiply(A_5,B_6),multiply(double_divide(multiply(A_5,B_6),D_560),D_560)),inverse(C_561)) = inverse(C_561) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_117496]) ).
tff(c_160348,plain,
! [B_670,D_671,C_561,C_672,D_673] : ( multiply(multiply(multiply(inverse(B_670),multiply(double_divide(inverse(B_670),D_671),D_671)),multiply(double_divide(D_673,double_divide(inverse(C_672),D_673)),C_672)),inverse(C_561)) = inverse(C_561) ),
inference(superposition,[status(thm),theory(equality)],[c_160071,c_117612]) ).
tff(c_166673,plain,
! [D_684,C_685,C_686] : ( multiply(multiply(double_divide(D_684,double_divide(inverse(C_685),D_684)),C_685),inverse(C_686)) = inverse(C_686) ),
inference(demodulation,[status(thm),theory(equality)],[c_117614,c_160348]) ).
tff(c_166942,plain,
! [D_684,C_685,A_20,D_19,C_686,D_12] : ( double_divide(inverse(C_685),multiply(double_divide(inverse(C_686),D_12),D_12)) = double_divide(double_divide(A_20,inverse(double_divide(D_684,double_divide(inverse(C_685),D_684)))),double_divide(inverse(C_686),multiply(double_divide(A_20,D_19),D_19))) ),
inference(superposition,[status(thm),theory(equality)],[c_166673,c_95]) ).
tff(c_167447,plain,
! [C_685,C_686,D_12] : ( double_divide(inverse(C_685),multiply(double_divide(inverse(C_686),D_12),D_12)) = double_divide(inverse(C_685),C_686) ),
inference(demodulation,[status(thm),theory(equality)],[c_1099,c_4,c_166942]) ).
tff(c_170133,plain,
! [C_693,C_694,D_695] : ( double_divide(inverse(C_693),multiply(double_divide(inverse(C_694),D_695),D_695)) = double_divide(inverse(C_693),C_694) ),
inference(demodulation,[status(thm),theory(equality)],[c_1099,c_4,c_166942]) ).
tff(c_103684,plain,
! [A_523,B_521,C_516,C_522] : ( double_divide(double_divide(inverse(double_divide(double_divide(A_523,multiply(inverse(B_521),B_521)),A_523)),multiply(C_516,C_522)),C_522) = C_516 ),
inference(superposition,[status(thm),theory(equality)],[c_103676,c_103643]) ).
tff(c_105060,plain,
! [A_523,B_521,C_516,C_522] : ( double_divide(double_divide(multiply(A_523,double_divide(A_523,multiply(inverse(B_521),B_521))),multiply(C_516,C_522)),C_522) = C_516 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_103684]) ).
tff(c_123625,plain,
! [C_582,A_583,B_584,C_585] : ( multiply(C_582,double_divide(inverse(multiply(A_583,double_divide(A_583,multiply(inverse(B_584),B_584)))),multiply(C_585,C_582))) = inverse(C_585) ),
inference(superposition,[status(thm),theory(equality)],[c_105060,c_106463]) ).
tff(c_124107,plain,
! [B_11,B_584,C_582,C_10,C_585,D_12,A_9,A_583] : ( double_divide(double_divide(double_divide(A_9,multiply(C_10,B_11)),inverse(C_585)),double_divide(inverse(double_divide(inverse(multiply(A_583,double_divide(A_583,multiply(inverse(B_584),B_584)))),multiply(C_585,C_582))),multiply(C_10,double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12))))) = C_582 ),
inference(superposition,[status(thm),theory(equality)],[c_123625,c_20]) ).
tff(c_124731,plain,
! [C_582,A_583,B_584,D_12] : ( double_divide(inverse(C_582),multiply(double_divide(inverse(multiply(A_583,double_divide(A_583,multiply(inverse(B_584),B_584)))),D_12),D_12)) = C_582 ),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_4,c_124107]) ).
tff(c_170284,plain,
! [C_693,A_583,B_584] : ( double_divide(inverse(C_693),multiply(A_583,double_divide(A_583,multiply(inverse(B_584),B_584)))) = C_693 ),
inference(superposition,[status(thm),theory(equality)],[c_170133,c_124731]) ).
tff(c_171587,plain,
! [C_696,A_697,B_698] : ( double_divide(inverse(C_696),multiply(A_697,double_divide(A_697,multiply(inverse(B_698),B_698)))) = C_696 ),
inference(superposition,[status(thm),theory(equality)],[c_170133,c_124731]) ).
tff(c_172318,plain,
! [A_697,B_698,C_696] : ( multiply(multiply(A_697,double_divide(A_697,multiply(inverse(B_698),B_698))),inverse(C_696)) = inverse(C_696) ),
inference(superposition,[status(thm),theory(equality)],[c_171587,c_4]) ).
tff(c_173520,plain,
! [B_702,C_703,C_704] : ( double_divide(multiply(inverse(B_702),B_702),multiply(C_703,C_704)) = double_divide(C_704,C_703) ),
inference(superposition,[status(thm),theory(equality)],[c_171587,c_103643]) ).
tff(c_174334,plain,
! [B_702,C_696,A_697,B_698] : ( double_divide(multiply(inverse(B_702),B_702),inverse(C_696)) = double_divide(inverse(C_696),multiply(A_697,double_divide(A_697,multiply(inverse(B_698),B_698)))) ),
inference(superposition,[status(thm),theory(equality)],[c_172318,c_173520]) ).
tff(c_174809,plain,
! [B_705,C_706] : ( double_divide(multiply(inverse(B_705),B_705),inverse(C_706)) = C_706 ),
inference(demodulation,[status(thm),theory(equality)],[c_170284,c_174334]) ).
tff(c_175364,plain,
! [C_706,B_705] : ( multiply(inverse(C_706),multiply(inverse(B_705),B_705)) = inverse(C_706) ),
inference(superposition,[status(thm),theory(equality)],[c_174809,c_4]) ).
tff(c_175640,plain,
! [A_5,B_6,C_706] : ( double_divide(multiply(multiply(A_5,B_6),double_divide(B_6,A_5)),inverse(C_706)) = C_706 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_174809]) ).
tff(c_116628,plain,
! [C_556,A_5,B_6,D_558] : ( double_divide(inverse(C_556),multiply(multiply(A_5,B_6),multiply(double_divide(inverse(double_divide(B_6,A_5)),D_558),D_558))) = C_556 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_115497]) ).
tff(c_116715,plain,
! [C_556,A_5,B_6,D_558] : ( double_divide(inverse(C_556),multiply(multiply(A_5,B_6),multiply(double_divide(multiply(A_5,B_6),D_558),D_558))) = C_556 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_116628]) ).
tff(c_160371,plain,
! [B_670,D_671,C_672,D_673,C_556] : ( double_divide(inverse(C_556),multiply(multiply(inverse(B_670),multiply(double_divide(inverse(B_670),D_671),D_671)),multiply(double_divide(D_673,double_divide(inverse(C_672),D_673)),C_672))) = C_556 ),
inference(superposition,[status(thm),theory(equality)],[c_160071,c_116715]) ).
tff(c_164158,plain,
! [C_678,D_679,C_680] : ( double_divide(inverse(C_678),multiply(double_divide(D_679,double_divide(inverse(C_680),D_679)),C_680)) = C_678 ),
inference(demodulation,[status(thm),theory(equality)],[c_117614,c_160371]) ).
tff(c_80025,plain,
! [A_88,C_444,A_362,A_442,D_364] : ( double_divide(double_divide(A_442,multiply(C_444,A_88)),double_divide(A_362,double_divide(A_442,multiply(double_divide(D_364,double_divide(A_362,D_364)),A_88)))) = C_444 ),
inference(demodulation,[status(thm),theory(equality)],[c_4450,c_4,c_79406]) ).
tff(c_164335,plain,
! [C_678,C_444,C_680] : ( double_divide(double_divide(inverse(C_678),multiply(C_444,C_680)),double_divide(inverse(C_680),C_678)) = C_444 ),
inference(superposition,[status(thm),theory(equality)],[c_164158,c_80025]) ).
tff(c_171612,plain,
! [C_696,A_697,B_698] : ( double_divide(C_696,double_divide(inverse(double_divide(A_697,multiply(inverse(B_698),B_698))),C_696)) = A_697 ),
inference(superposition,[status(thm),theory(equality)],[c_171587,c_164335]) ).
tff(c_183136,plain,
! [C_727,B_728,A_729] : ( double_divide(C_727,double_divide(multiply(multiply(inverse(B_728),B_728),A_729),C_727)) = A_729 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_171612]) ).
tff(c_184424,plain,
! [C_730,B_731] : ( double_divide(inverse(C_730),C_730) = double_divide(B_731,inverse(B_731)) ),
inference(superposition,[status(thm),theory(equality)],[c_175640,c_183136]) ).
tff(c_174755,plain,
! [B_702,C_696] : ( double_divide(multiply(inverse(B_702),B_702),inverse(C_696)) = C_696 ),
inference(demodulation,[status(thm),theory(equality)],[c_170284,c_174334]) ).
tff(c_191587,plain,
! [B_736,C_737] : ( multiply(inverse(B_736),B_736) = double_divide(inverse(C_737),C_737) ),
inference(superposition,[status(thm),theory(equality)],[c_184424,c_174755]) ).
tff(c_192036,plain,
! [C_529,B_530,B_736,D_12] : ( double_divide(multiply(inverse(multiply(C_529,B_530)),multiply(inverse(B_736),B_736)),multiply(double_divide(inverse(B_530),D_12),D_12)) = C_529 ),
inference(superposition,[status(thm),theory(equality)],[c_191587,c_107538]) ).
tff(c_196121,plain,
! [C_745,B_746] : ( double_divide(inverse(multiply(C_745,B_746)),B_746) = C_745 ),
inference(demodulation,[status(thm),theory(equality)],[c_167447,c_175364,c_192036]) ).
tff(c_177968,plain,
! [C_714,B_715] : ( multiply(inverse(C_714),multiply(inverse(B_715),B_715)) = inverse(C_714) ),
inference(superposition,[status(thm),theory(equality)],[c_174809,c_4]) ).
tff(c_177985,plain,
! [B_715,C_696] : ( double_divide(inverse(multiply(inverse(B_715),B_715)),inverse(C_696)) = C_696 ),
inference(superposition,[status(thm),theory(equality)],[c_177968,c_174755]) ).
tff(c_197694,plain,
! [C_747] : ( inverse(inverse(C_747)) = C_747 ),
inference(superposition,[status(thm),theory(equality)],[c_196121,c_177985]) ).
tff(c_198231,plain,
! [A_5,B_6] : ( inverse(multiply(A_5,B_6)) = double_divide(B_6,A_5) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_197694]) ).
tff(c_193656,plain,
! [C_529,B_530] : ( double_divide(inverse(multiply(C_529,B_530)),B_530) = C_529 ),
inference(demodulation,[status(thm),theory(equality)],[c_167447,c_175364,c_192036]) ).
tff(c_198285,plain,
! [B_530,C_529] : ( double_divide(double_divide(B_530,C_529),B_530) = C_529 ),
inference(demodulation,[status(thm),theory(equality)],[c_198231,c_193656]) ).
tff(c_199061,plain,
! [B_750,C_751] : ( double_divide(double_divide(B_750,C_751),B_750) = C_751 ),
inference(demodulation,[status(thm),theory(equality)],[c_198231,c_193656]) ).
tff(c_200018,plain,
! [C_686,D_12,C_685] : ( multiply(double_divide(inverse(C_686),D_12),D_12) = double_divide(double_divide(inverse(C_685),C_686),inverse(C_685)) ),
inference(superposition,[status(thm),theory(equality)],[c_167447,c_199061]) ).
tff(c_200260,plain,
! [C_686,D_12] : ( multiply(double_divide(inverse(C_686),D_12),D_12) = C_686 ),
inference(demodulation,[status(thm),theory(equality)],[c_198285,c_200018]) ).
tff(c_196142,plain,
! [C_696] : ( inverse(inverse(C_696)) = C_696 ),
inference(superposition,[status(thm),theory(equality)],[c_196121,c_177985]) ).
tff(c_180805,plain,
! [C_721,B_722] : ( multiply(inverse(C_721),inverse(multiply(inverse(B_722),B_722))) = inverse(C_721) ),
inference(superposition,[status(thm),theory(equality)],[c_177968,c_175364]) ).
tff(c_180833,plain,
! [B_722,C_696] : ( double_divide(inverse(inverse(multiply(inverse(B_722),B_722))),inverse(C_696)) = C_696 ),
inference(superposition,[status(thm),theory(equality)],[c_180805,c_174755]) ).
tff(c_184440,plain,
! [B_722,B_731] : ( multiply(inverse(B_722),B_722) = double_divide(B_731,inverse(B_731)) ),
inference(superposition,[status(thm),theory(equality)],[c_184424,c_180833]) ).
tff(c_112679,plain,
! [C_544,A_545,B_546,D_12] : ( double_divide(inverse(C_544),multiply(double_divide(multiply(A_545,double_divide(A_545,multiply(inverse(B_546),B_546))),D_12),D_12)) = C_544 ),
inference(demodulation,[status(thm),theory(equality)],[c_162,c_4,c_112117]) ).
tff(c_192004,plain,
! [C_544,B_546,B_736,D_12] : ( double_divide(inverse(C_544),multiply(double_divide(multiply(inverse(multiply(inverse(B_546),B_546)),multiply(inverse(B_736),B_736)),D_12),D_12)) = C_544 ),
inference(superposition,[status(thm),theory(equality)],[c_191587,c_112679]) ).
tff(c_207819,plain,
! [C_821,B_822] : ( double_divide(inverse(C_821),multiply(inverse(B_822),B_822)) = C_821 ),
inference(demodulation,[status(thm),theory(equality)],[c_167447,c_175364,c_192004]) ).
tff(c_210459,plain,
! [C_842,B_843] : ( double_divide(inverse(C_842),double_divide(B_843,inverse(B_843))) = C_842 ),
inference(superposition,[status(thm),theory(equality)],[c_184440,c_207819]) ).
tff(c_214011,plain,
! [C_865,B_866] : ( double_divide(C_865,double_divide(B_866,inverse(B_866))) = inverse(C_865) ),
inference(superposition,[status(thm),theory(equality)],[c_196142,c_210459]) ).
tff(c_214162,plain,
! [C_680,C_444] : ( inverse(double_divide(inverse(inverse(inverse(C_680))),multiply(C_444,C_680))) = C_444 ),
inference(superposition,[status(thm),theory(equality)],[c_214011,c_164335]) ).
tff(c_214357,plain,
! [C_867,C_868] : ( multiply(multiply(C_867,C_868),inverse(C_868)) = C_867 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_196142,c_214162]) ).
tff(c_214535,plain,
! [C_686,D_12] : ( multiply(C_686,inverse(D_12)) = double_divide(inverse(C_686),D_12) ),
inference(superposition,[status(thm),theory(equality)],[c_200260,c_214357]) ).
tff(c_214556,plain,
! [C_867,C_696] : ( multiply(multiply(C_867,inverse(C_696)),C_696) = C_867 ),
inference(superposition,[status(thm),theory(equality)],[c_196142,c_214357]) ).
tff(c_199064,plain,
! [C_751,B_750] : ( double_divide(C_751,double_divide(B_750,C_751)) = B_750 ),
inference(superposition,[status(thm),theory(equality)],[c_199061,c_198285]) ).
tff(c_204776,plain,
! [C_793,B_794] : ( multiply(C_793,inverse(C_793)) = inverse(double_divide(B_794,inverse(B_794))) ),
inference(superposition,[status(thm),theory(equality)],[c_184424,c_4]) ).
tff(c_204994,plain,
! [B_6,C_793] : ( multiply(inverse(B_6),B_6) = multiply(C_793,inverse(C_793)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_204776]) ).
tff(c_208871,plain,
! [C_830,C_831] : ( double_divide(inverse(C_830),multiply(C_831,inverse(C_831))) = C_830 ),
inference(superposition,[status(thm),theory(equality)],[c_204994,c_207819]) ).
tff(c_221682,plain,
! [C_907,C_908] : ( double_divide(C_907,multiply(C_908,inverse(C_908))) = inverse(C_907) ),
inference(superposition,[status(thm),theory(equality)],[c_196142,c_208871]) ).
tff(c_59866,plain,
! [A_372,D_373,D_374,D_371,D_12,A_9] : ( multiply(double_divide(inverse(double_divide(A_372,D_373)),multiply(double_divide(A_9,D_12),D_12)),double_divide(A_9,multiply(double_divide(D_373,D_374),D_374))) = inverse(double_divide(D_371,double_divide(A_372,D_371))) ),
inference(superposition,[status(thm),theory(equality)],[c_58611,c_26]) ).
tff(c_61587,plain,
! [A_378,D_379,D_380] : ( multiply(double_divide(A_378,D_379),D_379) = inverse(double_divide(D_380,double_divide(A_378,D_380))) ),
inference(demodulation,[status(thm),theory(equality)],[c_3276,c_4,c_59866]) ).
tff(c_62392,plain,
! [D_371,D_379,A_372,D_373] : ( multiply(double_divide(D_371,D_379),D_379) = inverse(double_divide(double_divide(A_372,D_371),double_divide(D_373,double_divide(A_372,D_373)))) ),
inference(superposition,[status(thm),theory(equality)],[c_60392,c_61587]) ).
tff(c_199399,plain,
! [D_371,D_379,B_750,C_751] : ( multiply(double_divide(D_371,D_379),D_379) = inverse(double_divide(double_divide(double_divide(B_750,C_751),D_371),double_divide(B_750,C_751))) ),
inference(superposition,[status(thm),theory(equality)],[c_199061,c_62392]) ).
tff(c_200240,plain,
! [D_371,D_379] : ( multiply(double_divide(D_371,D_379),D_379) = inverse(D_371) ),
inference(demodulation,[status(thm),theory(equality)],[c_198285,c_199399]) ).
tff(c_38,plain,
! [B_13,A_14,D_15,C_16] : ( multiply(double_divide(inverse(B_13),multiply(double_divide(A_14,D_15),D_15)),double_divide(A_14,multiply(C_16,B_13))) = inverse(C_16) ),
inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).
tff(c_41,plain,
! [D_15,C_16,B_13,D_12,A_14,A_9] : ( multiply(double_divide(inverse(double_divide(A_14,multiply(C_16,B_13))),multiply(double_divide(A_9,D_12),D_12)),double_divide(A_9,inverse(C_16))) = inverse(double_divide(inverse(B_13),multiply(double_divide(A_14,D_15),D_15))) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_26]) ).
tff(c_1862,plain,
! [D_70,B_68,A_72,C_71,A_73,D_69] : ( multiply(double_divide(multiply(multiply(C_71,B_68),A_72),multiply(double_divide(A_73,D_70),D_70)),double_divide(A_73,inverse(C_71))) = inverse(double_divide(inverse(B_68),multiply(double_divide(A_72,D_69),D_69))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41]) ).
tff(c_1961,plain,
! [D_70,A_1,D_4,B_68,A_72,C_71,A_73,D_69] : ( double_divide(multiply(multiply(C_71,B_68),A_72),multiply(double_divide(A_73,D_70),D_70)) = double_divide(double_divide(A_1,inverse(double_divide(inverse(B_68),multiply(double_divide(A_72,D_69),D_69)))),double_divide(inverse(double_divide(A_73,inverse(C_71))),multiply(double_divide(A_1,D_4),D_4))) ),
inference(superposition,[status(thm),theory(equality)],[c_1862,c_7]) ).
tff(c_2145,plain,
! [D_70,A_1,D_4,B_68,A_72,C_71,A_73,D_69] : ( double_divide(multiply(multiply(C_71,B_68),A_72),multiply(double_divide(A_73,D_70),D_70)) = double_divide(double_divide(A_1,multiply(multiply(double_divide(A_72,D_69),D_69),inverse(B_68))),double_divide(multiply(inverse(C_71),A_73),multiply(double_divide(A_1,D_4),D_4))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_1961]) ).
tff(c_220425,plain,
! [A_1,B_68,A_72,C_71,A_73] : ( double_divide(double_divide(A_1,multiply(inverse(A_72),inverse(B_68))),double_divide(multiply(inverse(C_71),A_73),inverse(A_1))) = double_divide(multiply(multiply(C_71,B_68),A_72),inverse(A_73)) ),
inference(demodulation,[status(thm),theory(equality)],[c_200240,c_200240,c_200240,c_2145]) ).
tff(c_221696,plain,
! [C_71,A_72,A_73,C_907] : ( double_divide(multiply(multiply(C_71,inverse(A_72)),A_72),inverse(A_73)) = double_divide(inverse(C_907),double_divide(multiply(inverse(C_71),A_73),inverse(C_907))) ),
inference(superposition,[status(thm),theory(equality)],[c_221682,c_220425]) ).
tff(c_222010,plain,
! [C_71,A_73] : ( multiply(inverse(C_71),A_73) = double_divide(C_71,inverse(A_73)) ),
inference(demodulation,[status(thm),theory(equality)],[c_214556,c_199064,c_221696]) ).
tff(c_7787,plain,
! [B_143,D_144,C_141,A_142,B_145,A_147,C_146] : ( double_divide(double_divide(double_divide(A_147,multiply(C_146,B_145)),multiply(C_141,double_divide(B_143,A_142))),double_divide(multiply(A_142,B_143),multiply(C_146,double_divide(inverse(B_145),multiply(double_divide(A_147,D_144),D_144))))) = C_141 ),
inference(superposition,[status(thm),theory(equality)],[c_7,c_65]) ).
tff(c_8317,plain,
! [B_11,D_144,C_10,D_12,B_145,A_147,C_146,A_9] : ( double_divide(inverse(B_11),multiply(double_divide(A_9,D_12),D_12)) = double_divide(double_divide(double_divide(A_147,multiply(C_146,B_145)),inverse(C_10)),double_divide(multiply(multiply(C_10,B_11),A_9),multiply(C_146,double_divide(inverse(B_145),multiply(double_divide(A_147,D_144),D_144))))) ),
inference(superposition,[status(thm),theory(equality)],[c_26,c_7787]) ).
tff(c_247739,plain,
! [B_11,C_10,B_145,A_147,C_146,A_9] : ( double_divide(double_divide(double_divide(A_147,multiply(C_146,B_145)),inverse(C_10)),double_divide(multiply(multiply(C_10,B_11),A_9),multiply(C_146,double_divide(inverse(B_145),inverse(A_147))))) = double_divide(inverse(B_11),inverse(A_9)) ),
inference(demodulation,[status(thm),theory(equality)],[c_200240,c_200240,c_8317]) ).
tff(c_47408,plain,
! [C_334,A_337,C_338,D_332,A_331,B_333,D_336,B_335] : ( double_divide(inverse(B_333),multiply(double_divide(A_337,D_336),D_336)) = double_divide(double_divide(double_divide(A_331,multiply(C_334,B_335)),inverse(C_338)),double_divide(multiply(multiply(C_338,B_333),A_337),multiply(C_334,double_divide(inverse(B_335),multiply(double_divide(A_331,D_332),D_332))))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_145]) ).
tff(c_48212,plain,
! [C_334,A_337,C_338,D_332,A_331,B_333,C_10,B_335] : ( multiply(double_divide(double_divide(double_divide(A_331,multiply(C_334,B_335)),inverse(C_338)),double_divide(multiply(multiply(C_338,B_333),A_337),multiply(C_334,double_divide(inverse(B_335),multiply(double_divide(A_331,D_332),D_332))))),double_divide(A_337,multiply(C_10,B_333))) = inverse(C_10) ),
inference(superposition,[status(thm),theory(equality)],[c_47408,c_26]) ).
tff(c_256356,plain,
! [B_1063,A_1064,C_1065] : ( multiply(double_divide(inverse(B_1063),inverse(A_1064)),double_divide(A_1064,multiply(C_1065,B_1063))) = inverse(C_1065) ),
inference(demodulation,[status(thm),theory(equality)],[c_247739,c_200240,c_48212]) ).
tff(c_199970,plain,
! [B_750,C_751] : ( multiply(B_750,double_divide(B_750,C_751)) = inverse(C_751) ),
inference(superposition,[status(thm),theory(equality)],[c_199061,c_4]) ).
tff(c_214538,plain,
! [C_751,B_750] : ( multiply(inverse(C_751),inverse(double_divide(B_750,C_751))) = B_750 ),
inference(superposition,[status(thm),theory(equality)],[c_199970,c_214357]) ).
tff(c_214608,plain,
! [C_751,B_750] : ( multiply(inverse(C_751),multiply(C_751,B_750)) = B_750 ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_214538]) ).
tff(c_256534,plain,
! [B_1063,A_1064,C_1065] : ( multiply(inverse(double_divide(inverse(B_1063),inverse(A_1064))),inverse(C_1065)) = double_divide(A_1064,multiply(C_1065,B_1063)) ),
inference(superposition,[status(thm),theory(equality)],[c_256356,c_214608]) ).
tff(c_438148,plain,
! [B_1548,A_1549,C_1550] : ( double_divide(multiply(B_1548,A_1549),C_1550) = double_divide(A_1549,multiply(C_1550,B_1548)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_214535,c_196142,c_222010,c_4,c_256534]) ).
tff(c_439158,plain,
! [A_1551,C_1552,B_1553] : ( inverse(double_divide(A_1551,multiply(C_1552,B_1553))) = multiply(C_1552,multiply(B_1553,A_1551)) ),
inference(superposition,[status(thm),theory(equality)],[c_438148,c_4]) ).
tff(c_440022,plain,
! [C_1552,B_1553,B_6] : ( multiply(multiply(C_1552,B_1553),B_6) = multiply(C_1552,multiply(B_1553,B_6)) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_439158]) ).
tff(c_6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnfTransformation,[status(thm)],[f_27]) ).
tff(c_440221,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_440022,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP504-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:00:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 249.08/136.01 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 249.19/136.04
% 249.19/136.04 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 249.26/136.09
% 249.26/136.09 Inference rules
% 249.26/136.09 ----------------------
% 249.26/136.09 #Ref : 0
% 249.26/136.09 #Sup : 118035
% 249.26/136.09 #Fact : 0
% 249.26/136.09 #Define : 0
% 249.26/136.09 #Split : 0
% 249.26/136.09 #Chain : 0
% 249.26/136.09 #Close : 0
% 249.26/136.09
% 249.26/136.09 Ordering : KBO
% 249.26/136.09
% 249.26/136.09 Simplification rules
% 249.26/136.09 ----------------------
% 249.26/136.09 #Subsume : 13886
% 249.26/136.09 #Demod : 141555
% 249.26/136.09 #Tautology : 15723
% 249.26/136.09 #SimpNegUnit : 0
% 249.26/136.09 #BackRed : 208
% 249.26/136.09
% 249.26/136.09 #Partial instantiations: 0
% 249.26/136.09 #Strategies tried : 1
% 249.26/136.09
% 249.26/136.09 Timing (in seconds)
% 249.26/136.09 ----------------------
% 249.26/136.10 Preprocessing : 0.38
% 249.26/136.10 Parsing : 0.20
% 249.26/136.10 CNF conversion : 0.02
% 249.26/136.10 Main loop : 134.59
% 249.26/136.10 Inferencing : 17.13
% 249.26/136.10 Reduction : 88.03
% 249.26/136.10 Demodulation : 84.63
% 249.26/136.10 BG Simplification : 3.14
% 249.26/136.10 Subsumption : 12.52
% 249.26/136.10 Abstraction : 6.33
% 249.26/136.10 MUC search : 0.00
% 249.26/136.10 Cooper : 0.00
% 249.26/136.10 Total : 135.07
% 249.26/136.10 Index Insertion : 0.00
% 249.26/136.10 Index Deletion : 0.00
% 249.26/136.10 Index Matching : 0.00
% 249.26/136.10 BG Taut test : 0.00
%------------------------------------------------------------------------------