TSTP Solution File: GRP105-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP105-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n027.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 10:39:51 EDT 2023

% Result   : Unsatisfiable 153.51s 111.27s
% Output   : CNFRefutation 153.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  183 ( 167 unt;  12 typ;   0 def)
%            Number of atoms       :  180 ( 176 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  21   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   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    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :  341 (; 341   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ multiply > double_divide > #nlpp > inverse > c3 > b4 > b3 > b2 > b1 > a4 > a3 > a2 > a1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(a1,type,
    a1: $i ).

tff(a3,type,
    a3: $i ).

tff(c3,type,
    c3: $i ).

tff(b2,type,
    b2: $i ).

tff(inverse,type,
    inverse: $i > $i ).

tff(double_divide,type,
    double_divide: ( $i * $i ) > $i ).

tff(multiply,type,
    multiply: ( $i * $i ) > $i ).

tff(b1,type,
    b1: $i ).

tff(b4,type,
    b4: $i ).

tff(b3,type,
    b3: $i ).

tff(a2,type,
    a2: $i ).

tff(a4,type,
    a4: $i ).

tff(f_29,axiom,
    ! [X,Y] : ( multiply(X,Y) = inverse(double_divide(Y,X)) ),
    file(unknown,unknown) ).

tff(f_26,axiom,
    ! [X,Y,Z] : ( double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) = Z ),
    file(unknown,unknown) ).

tff(f_40,axiom,
    ( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
    | ( multiply(multiply(inverse(b2),b2),a2) != a2 )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(a4,b4) != multiply(b4,a4) ) ),
    file(unknown,unknown) ).

tff(c_4,plain,
    ! [Y_5,X_4] : ( inverse(double_divide(Y_5,X_4)) = multiply(X_4,Y_5) ),
    inference(cnfTransformation,[status(thm)],[f_29]) ).

tff(c_2,plain,
    ! [X_1,Y_2,Z_3] : ( double_divide(inverse(double_divide(double_divide(X_1,Y_2),inverse(double_divide(X_1,inverse(Z_3))))),Y_2) = Z_3 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_17,plain,
    ! [Z_8,X_9,Y_10] : ( double_divide(multiply(multiply(inverse(Z_8),X_9),double_divide(X_9,Y_10)),Y_10) = Z_8 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).

tff(c_26,plain,
    ! [Y_10,Z_8,X_9] : ( multiply(Y_10,multiply(multiply(inverse(Z_8),X_9),double_divide(X_9,Y_10))) = inverse(Z_8) ),
    inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).

tff(c_7,plain,
    ! [Z_3,X_1,Y_2] : ( double_divide(multiply(multiply(inverse(Z_3),X_1),double_divide(X_1,Y_2)),Y_2) = Z_3 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_2]) ).

tff(c_13340,plain,
    ! [Z_259,Z_260,X_261,Y_262] : ( double_divide(multiply(multiply(inverse(Z_259),multiply(multiply(inverse(Z_260),X_261),double_divide(X_261,Y_262))),Z_260),Y_262) = Z_259 ),
    inference(superposition,[status(thm),theory(equality)],[c_7,c_17]) ).

tff(c_13444,plain,
    ! [Z_263,Z_264] : ( double_divide(multiply(inverse(Z_263),Z_263),inverse(Z_264)) = Z_264 ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_13340]) ).

tff(c_13471,plain,
    ! [Z_264,Z_263] : ( multiply(inverse(Z_264),multiply(inverse(Z_263),Z_263)) = inverse(Z_264) ),
    inference(superposition,[status(thm),theory(equality)],[c_13444,c_4]) ).

tff(c_13520,plain,
    ! [Z_265,Z_266] : ( multiply(inverse(Z_265),multiply(inverse(Z_266),Z_266)) = inverse(Z_265) ),
    inference(superposition,[status(thm),theory(equality)],[c_13444,c_4]) ).

tff(c_13432,plain,
    ! [Z_8,Z_259] : ( double_divide(multiply(inverse(Z_8),Z_8),inverse(Z_259)) = Z_259 ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_13340]) ).

tff(c_13531,plain,
    ! [Z_266,Z_259] : ( double_divide(inverse(multiply(inverse(Z_266),Z_266)),inverse(Z_259)) = Z_259 ),
    inference(superposition,[status(thm),theory(equality)],[c_13520,c_13432]) ).

tff(c_13550,plain,
    ! [Z_265,Z_263] : ( multiply(inverse(Z_265),inverse(multiply(inverse(Z_263),Z_263))) = inverse(Z_265) ),
    inference(superposition,[status(thm),theory(equality)],[c_13471,c_13520]) ).

tff(c_13962,plain,
    ! [Z_277,X_278,Y_279] : ( double_divide(multiply(inverse(Z_277),Z_277),multiply(X_278,Y_279)) = double_divide(Y_279,X_278) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_13444]) ).

tff(c_13989,plain,
    ! [Z_3,Z_277,Y_279,X_278] : ( double_divide(multiply(multiply(inverse(Z_3),multiply(inverse(Z_277),Z_277)),double_divide(Y_279,X_278)),multiply(X_278,Y_279)) = Z_3 ),
    inference(superposition,[status(thm),theory(equality)],[c_13962,c_7]) ).

tff(c_15100,plain,
    ! [Z_298,Y_299,X_300] : ( double_divide(multiply(inverse(Z_298),double_divide(Y_299,X_300)),multiply(X_300,Y_299)) = Z_298 ),
    inference(demodulation,[status(thm),theory(equality)],[c_13471,c_13989]) ).

tff(c_15218,plain,
    ! [Z_298,Z_263,Z_265] : ( double_divide(multiply(inverse(Z_298),double_divide(inverse(multiply(inverse(Z_263),Z_263)),inverse(Z_265))),inverse(Z_265)) = Z_298 ),
    inference(superposition,[status(thm),theory(equality)],[c_13550,c_15100]) ).

tff(c_15331,plain,
    ! [Z_301,Z_302] : ( double_divide(multiply(inverse(Z_301),Z_302),inverse(Z_302)) = Z_301 ),
    inference(demodulation,[status(thm),theory(equality)],[c_13531,c_15218]) ).

tff(c_16595,plain,
    ! [Z_318,Z_319] : ( double_divide(inverse(Z_318),inverse(multiply(inverse(Z_319),Z_319))) = Z_318 ),
    inference(superposition,[status(thm),theory(equality)],[c_13471,c_15331]) ).

tff(c_16692,plain,
    ! [Z_321,Z_320] : ( multiply(inverse(Z_321),Z_321) = multiply(inverse(Z_320),Z_320) ),
    inference(superposition,[status(thm),theory(equality)],[c_16595,c_13531]) ).

tff(c_9459,plain,
    ! [Z_191,Z_192,X_193,Y_194] : ( double_divide(multiply(multiply(inverse(Z_191),multiply(multiply(inverse(Z_192),X_193),double_divide(X_193,Y_194))),Z_192),Y_194) = Z_191 ),
    inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).

tff(c_9565,plain,
    ! [Z_195,Z_196] : ( double_divide(multiply(inverse(Z_195),Z_195),inverse(Z_196)) = Z_196 ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_9459]) ).

tff(c_9635,plain,
    ! [Z_197,Z_198] : ( multiply(inverse(Z_197),multiply(inverse(Z_198),Z_198)) = inverse(Z_197) ),
    inference(superposition,[status(thm),theory(equality)],[c_9565,c_4]) ).

tff(c_9553,plain,
    ! [Z_8,Z_191] : ( double_divide(multiply(inverse(Z_8),Z_8),inverse(Z_191)) = Z_191 ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_9459]) ).

tff(c_9646,plain,
    ! [Z_198,Z_191] : ( double_divide(inverse(multiply(inverse(Z_198),Z_198)),inverse(Z_191)) = Z_191 ),
    inference(superposition,[status(thm),theory(equality)],[c_9635,c_9553]) ).

tff(c_9589,plain,
    ! [Z_196,Z_195] : ( multiply(inverse(Z_196),multiply(inverse(Z_195),Z_195)) = inverse(Z_196) ),
    inference(superposition,[status(thm),theory(equality)],[c_9565,c_4]) ).

tff(c_9639,plain,
    ! [Z_196,Z_198] : ( multiply(inverse(Z_196),inverse(multiply(inverse(Z_198),Z_198))) = inverse(Z_196) ),
    inference(superposition,[status(thm),theory(equality)],[c_9635,c_9589]) ).

tff(c_9908,plain,
    ! [Z_205,X_206,Y_207] : ( double_divide(multiply(inverse(Z_205),Z_205),multiply(X_206,Y_207)) = double_divide(Y_207,X_206) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_9565]) ).

tff(c_9929,plain,
    ! [Z_3,Z_205,Y_207,X_206] : ( double_divide(multiply(multiply(inverse(Z_3),multiply(inverse(Z_205),Z_205)),double_divide(Y_207,X_206)),multiply(X_206,Y_207)) = Z_3 ),
    inference(superposition,[status(thm),theory(equality)],[c_9908,c_7]) ).

tff(c_10551,plain,
    ! [Z_220,Y_221,X_222] : ( double_divide(multiply(inverse(Z_220),double_divide(Y_221,X_222)),multiply(X_222,Y_221)) = Z_220 ),
    inference(demodulation,[status(thm),theory(equality)],[c_9589,c_9929]) ).

tff(c_10630,plain,
    ! [Z_220,Z_198,Z_196] : ( double_divide(multiply(inverse(Z_220),double_divide(inverse(multiply(inverse(Z_198),Z_198)),inverse(Z_196))),inverse(Z_196)) = Z_220 ),
    inference(superposition,[status(thm),theory(equality)],[c_9639,c_10551]) ).

tff(c_10747,plain,
    ! [Z_223,Z_224] : ( double_divide(multiply(inverse(Z_223),Z_224),inverse(Z_224)) = Z_223 ),
    inference(demodulation,[status(thm),theory(equality)],[c_9646,c_10630]) ).

tff(c_10841,plain,
    ! [Z_225,Z_226] : ( multiply(inverse(Z_225),multiply(inverse(Z_226),Z_225)) = inverse(Z_226) ),
    inference(superposition,[status(thm),theory(equality)],[c_10747,c_4]) ).

tff(c_10723,plain,
    ! [Z_220,Z_196] : ( double_divide(multiply(inverse(Z_220),Z_196),inverse(Z_196)) = Z_220 ),
    inference(demodulation,[status(thm),theory(equality)],[c_9646,c_10630]) ).

tff(c_13012,plain,
    ! [Z_255,Z_256] : ( double_divide(inverse(Z_255),inverse(multiply(inverse(Z_255),Z_256))) = Z_256 ),
    inference(superposition,[status(thm),theory(equality)],[c_10841,c_10723]) ).

tff(c_13042,plain,
    ! [Z_198,Z_256] : ( multiply(inverse(multiply(inverse(Z_198),Z_198)),Z_256) = Z_256 ),
    inference(superposition,[status(thm),theory(equality)],[c_13012,c_9646]) ).

tff(c_11488,plain,
    ! [Z_235,Z_236] : ( double_divide(inverse(Z_235),inverse(multiply(inverse(Z_236),Z_236))) = Z_235 ),
    inference(superposition,[status(thm),theory(equality)],[c_9589,c_10747]) ).

tff(c_11574,plain,
    ! [Z_238,Z_237] : ( multiply(inverse(Z_238),Z_238) = multiply(inverse(Z_237),Z_237) ),
    inference(superposition,[status(thm),theory(equality)],[c_11488,c_9646]) ).

tff(c_1640,plain,
    ! [Z_68,Z_69,X_70,Y_71] : ( double_divide(multiply(multiply(inverse(Z_68),multiply(multiply(inverse(Z_69),X_70),double_divide(X_70,Y_71))),Z_69),Y_71) = Z_68 ),
    inference(superposition,[status(thm),theory(equality)],[c_17,c_7]) ).

tff(c_1722,plain,
    ! [Z_72,Z_73] : ( double_divide(multiply(inverse(Z_72),Z_72),inverse(Z_73)) = Z_73 ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_1640]) ).

tff(c_1743,plain,
    ! [Z_73,Z_72] : ( multiply(inverse(Z_73),multiply(inverse(Z_72),Z_72)) = inverse(Z_73) ),
    inference(superposition,[status(thm),theory(equality)],[c_1722,c_4]) ).

tff(c_1781,plain,
    ! [Z_74,Z_75] : ( multiply(inverse(Z_74),multiply(inverse(Z_75),Z_75)) = inverse(Z_74) ),
    inference(superposition,[status(thm),theory(equality)],[c_1722,c_4]) ).

tff(c_1710,plain,
    ! [Z_8,Z_68] : ( double_divide(multiply(inverse(Z_8),Z_8),inverse(Z_68)) = Z_68 ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_1640]) ).

tff(c_1829,plain,
    ! [Z_76,Z_77] : ( double_divide(inverse(multiply(inverse(Z_76),Z_76)),inverse(Z_77)) = Z_77 ),
    inference(superposition,[status(thm),theory(equality)],[c_1781,c_1710]) ).

tff(c_1857,plain,
    ! [Z_72,Z_77] : ( double_divide(inverse(inverse(multiply(inverse(Z_72),Z_72))),inverse(Z_77)) = Z_77 ),
    inference(superposition,[status(thm),theory(equality)],[c_1743,c_1829]) ).

tff(c_1792,plain,
    ! [Z_75,Z_68] : ( double_divide(inverse(multiply(inverse(Z_75),Z_75)),inverse(Z_68)) = Z_68 ),
    inference(superposition,[status(thm),theory(equality)],[c_1781,c_1710]) ).

tff(c_1811,plain,
    ! [Z_74,Z_72] : ( multiply(inverse(Z_74),inverse(multiply(inverse(Z_72),Z_72))) = inverse(Z_74) ),
    inference(superposition,[status(thm),theory(equality)],[c_1743,c_1781]) ).

tff(c_2159,plain,
    ! [Z_87,X_88,Y_89] : ( double_divide(multiply(inverse(Z_87),Z_87),multiply(X_88,Y_89)) = double_divide(Y_89,X_88) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1722]) ).

tff(c_2180,plain,
    ! [Z_3,Z_87,Y_89,X_88] : ( double_divide(multiply(multiply(inverse(Z_3),multiply(inverse(Z_87),Z_87)),double_divide(Y_89,X_88)),multiply(X_88,Y_89)) = Z_3 ),
    inference(superposition,[status(thm),theory(equality)],[c_2159,c_7]) ).

tff(c_2429,plain,
    ! [Z_95,Y_96,X_97] : ( double_divide(multiply(inverse(Z_95),double_divide(Y_96,X_97)),multiply(X_97,Y_96)) = Z_95 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1743,c_2180]) ).

tff(c_2491,plain,
    ! [Z_95,Z_72,Z_74] : ( double_divide(multiply(inverse(Z_95),double_divide(inverse(multiply(inverse(Z_72),Z_72)),inverse(Z_74))),inverse(Z_74)) = Z_95 ),
    inference(superposition,[status(thm),theory(equality)],[c_1811,c_2429]) ).

tff(c_2572,plain,
    ! [Z_98,Z_99] : ( double_divide(multiply(inverse(Z_98),Z_99),inverse(Z_99)) = Z_98 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1792,c_2491]) ).

tff(c_3076,plain,
    ! [Z_109,Z_110] : ( double_divide(inverse(Z_109),inverse(multiply(inverse(Z_110),Z_110))) = Z_109 ),
    inference(superposition,[status(thm),theory(equality)],[c_1743,c_2572]) ).

tff(c_3125,plain,
    ! [Z_110,Z_72] : ( multiply(inverse(Z_110),Z_110) = inverse(multiply(inverse(Z_72),Z_72)) ),
    inference(superposition,[status(thm),theory(equality)],[c_1857,c_3076]) ).

tff(c_1819,plain,
    ! [X_4,Y_5,Z_75] : ( multiply(multiply(X_4,Y_5),multiply(inverse(Z_75),Z_75)) = inverse(double_divide(Y_5,X_4)) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_1781]) ).

tff(c_1828,plain,
    ! [X_4,Y_5,Z_75] : ( multiply(multiply(X_4,Y_5),multiply(inverse(Z_75),Z_75)) = multiply(X_4,Y_5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_1819]) ).

tff(c_2663,plain,
    ! [Z_100,Z_101] : ( multiply(inverse(Z_100),multiply(inverse(Z_101),Z_100)) = inverse(Z_101) ),
    inference(superposition,[status(thm),theory(equality)],[c_2572,c_4]) ).

tff(c_2554,plain,
    ! [Z_95,Z_74] : ( double_divide(multiply(inverse(Z_95),Z_74),inverse(Z_74)) = Z_95 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1792,c_2491]) ).

tff(c_4008,plain,
    ! [Z_121,Z_122] : ( double_divide(inverse(Z_121),inverse(multiply(inverse(Z_121),Z_122))) = Z_122 ),
    inference(superposition,[status(thm),theory(equality)],[c_2663,c_2554]) ).

tff(c_4137,plain,
    ! [Z_123,Z_124] : ( multiply(inverse(multiply(inverse(Z_123),Z_123)),Z_124) = Z_124 ),
    inference(superposition,[status(thm),theory(equality)],[c_4008,c_1792]) ).

tff(c_4324,plain,
    ! [Z_110,Z_72,Z_124] : ( multiply(inverse(multiply(multiply(inverse(Z_110),Z_110),multiply(inverse(Z_72),Z_72))),Z_124) = Z_124 ),
    inference(superposition,[status(thm),theory(equality)],[c_3125,c_4137]) ).

tff(c_4413,plain,
    ! [Z_110,Z_124] : ( multiply(multiply(inverse(Z_110),Z_110),Z_124) = Z_124 ),
    inference(demodulation,[status(thm),theory(equality)],[c_3125,c_1828,c_4324]) ).

tff(c_3422,plain,
    ! [Z_113,Z_114] : ( multiply(inverse(Z_113),Z_113) = inverse(multiply(inverse(Z_114),Z_114)) ),
    inference(superposition,[status(thm),theory(equality)],[c_1857,c_3076]) ).

tff(c_2618,plain,
    ! [Z_73,Z_72] : ( double_divide(inverse(Z_73),inverse(multiply(inverse(Z_72),Z_72))) = Z_73 ),
    inference(superposition,[status(thm),theory(equality)],[c_1743,c_2572]) ).

tff(c_3452,plain,
    ! [Z_73,Z_113] : ( double_divide(inverse(Z_73),multiply(inverse(Z_113),Z_113)) = Z_73 ),
    inference(superposition,[status(thm),theory(equality)],[c_3422,c_2618]) ).

tff(c_4632,plain,
    ! [Z_127,Z_128] : ( multiply(multiply(inverse(Z_127),Z_127),Z_128) = Z_128 ),
    inference(demodulation,[status(thm),theory(equality)],[c_3125,c_1828,c_4324]) ).

tff(c_5027,plain,
    ! [Y_133,Z_134] : ( multiply(Y_133,double_divide(Z_134,Y_133)) = inverse(Z_134) ),
    inference(superposition,[status(thm),theory(equality)],[c_4632,c_26]) ).

tff(c_5144,plain,
    ! [Z_113,Z_73] : ( multiply(multiply(inverse(Z_113),Z_113),Z_73) = inverse(inverse(Z_73)) ),
    inference(superposition,[status(thm),theory(equality)],[c_3452,c_5027]) ).

tff(c_5199,plain,
    ! [Z_73] : ( inverse(inverse(Z_73)) = Z_73 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4413,c_5144]) ).

tff(c_4714,plain,
    ! [Z_127,Y_2] : ( double_divide(double_divide(Z_127,Y_2),Y_2) = Z_127 ),
    inference(superposition,[status(thm),theory(equality)],[c_4632,c_7]) ).

tff(c_4032,plain,
    ! [Z_75,Z_122] : ( multiply(inverse(multiply(inverse(Z_75),Z_75)),Z_122) = Z_122 ),
    inference(superposition,[status(thm),theory(equality)],[c_4008,c_1792]) ).

tff(c_38,plain,
    ! [Y_11,Z_12,X_13] : ( multiply(Y_11,multiply(multiply(inverse(Z_12),X_13),double_divide(X_13,Y_11))) = inverse(Z_12) ),
    inference(superposition,[status(thm),theory(equality)],[c_17,c_4]) ).

tff(c_5342,plain,
    ! [Z_136,X_137,Z_138,Y_139] : ( double_divide(multiply(inverse(Z_136),double_divide(multiply(multiply(inverse(Z_136),X_137),double_divide(X_137,inverse(Z_138))),Y_139)),Y_139) = Z_138 ),
    inference(superposition,[status(thm),theory(equality)],[c_38,c_7]) ).

tff(c_5421,plain,
    ! [Z_75,Z_122,Z_138,Y_139] : ( double_divide(multiply(inverse(multiply(inverse(Z_75),Z_75)),double_divide(multiply(Z_122,double_divide(Z_122,inverse(Z_138))),Y_139)),Y_139) = Z_138 ),
    inference(superposition,[status(thm),theory(equality)],[c_4032,c_5342]) ).

tff(c_5545,plain,
    ! [Z_140,Z_141] : ( multiply(Z_140,double_divide(Z_140,inverse(Z_141))) = Z_141 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4714,c_4032,c_5421]) ).

tff(c_5881,plain,
    ! [Z_144,Z_145] : ( multiply(double_divide(Z_144,inverse(Z_145)),Z_144) = Z_145 ),
    inference(superposition,[status(thm),theory(equality)],[c_4714,c_5545]) ).

tff(c_8773,plain,
    ! [Z_179,Z_180] : ( multiply(Z_179,multiply(inverse(Z_179),Z_180)) = Z_180 ),
    inference(superposition,[status(thm),theory(equality)],[c_2554,c_5881]) ).

tff(c_5667,plain,
    ! [Z_95,Z_74] : ( multiply(multiply(inverse(Z_95),Z_74),Z_95) = Z_74 ),
    inference(superposition,[status(thm),theory(equality)],[c_2554,c_5545]) ).

tff(c_8817,plain,
    ! [Z_95,Z_180] : ( multiply(inverse(inverse(Z_95)),Z_180) = multiply(Z_180,Z_95) ),
    inference(superposition,[status(thm),theory(equality)],[c_8773,c_5667]) ).

tff(c_8989,plain,
    ! [Z_95,Z_180] : ( multiply(Z_95,Z_180) = multiply(Z_180,Z_95) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5199,c_8817]) ).

tff(c_159,plain,
    ! [Z_22,Z_23,X_24,Y_25] : ( double_divide(multiply(multiply(inverse(Z_22),multiply(multiply(inverse(Z_23),X_24),double_divide(X_24,Y_25))),Z_23),Y_25) = Z_22 ),
    inference(superposition,[status(thm),theory(equality)],[c_7,c_17]) ).

tff(c_213,plain,
    ! [Y_26,Z_27,Z_28,X_29] : ( multiply(Y_26,multiply(multiply(inverse(Z_27),multiply(multiply(inverse(Z_28),X_29),double_divide(X_29,Y_26))),Z_28)) = inverse(Z_27) ),
    inference(superposition,[status(thm),theory(equality)],[c_159,c_4]) ).

tff(c_271,plain,
    ! [Z_27,Z_8] : ( multiply(inverse(Z_27),multiply(inverse(Z_8),Z_8)) = inverse(Z_27) ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_213]) ).

tff(c_322,plain,
    ! [Z_32,Z_33] : ( multiply(inverse(Z_32),multiply(inverse(Z_33),Z_33)) = inverse(Z_32) ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_213]) ).

tff(c_201,plain,
    ! [Z_8,Z_22] : ( double_divide(multiply(inverse(Z_8),Z_8),inverse(Z_22)) = Z_22 ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_159]) ).

tff(c_333,plain,
    ! [Z_33,Z_22] : ( double_divide(inverse(multiply(inverse(Z_33),Z_33)),inverse(Z_22)) = Z_22 ),
    inference(superposition,[status(thm),theory(equality)],[c_322,c_201]) ).

tff(c_326,plain,
    ! [Z_27,Z_33] : ( multiply(inverse(Z_27),inverse(multiply(inverse(Z_33),Z_33))) = inverse(Z_27) ),
    inference(superposition,[status(thm),theory(equality)],[c_322,c_271]) ).

tff(c_286,plain,
    ! [Z_30,Z_31] : ( double_divide(multiply(inverse(Z_30),Z_30),inverse(Z_31)) = Z_31 ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_159]) ).

tff(c_611,plain,
    ! [Z_43,X_44,Y_45] : ( double_divide(multiply(inverse(Z_43),Z_43),multiply(X_44,Y_45)) = double_divide(Y_45,X_44) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_286]) ).

tff(c_635,plain,
    ! [Z_3,Z_43,Y_45,X_44] : ( double_divide(multiply(multiply(inverse(Z_3),multiply(inverse(Z_43),Z_43)),double_divide(Y_45,X_44)),multiply(X_44,Y_45)) = Z_3 ),
    inference(superposition,[status(thm),theory(equality)],[c_611,c_7]) ).

tff(c_758,plain,
    ! [Z_49,Y_50,X_51] : ( double_divide(multiply(inverse(Z_49),double_divide(Y_50,X_51)),multiply(X_51,Y_50)) = Z_49 ),
    inference(demodulation,[status(thm),theory(equality)],[c_271,c_635]) ).

tff(c_817,plain,
    ! [Z_49,Z_33,Z_27] : ( double_divide(multiply(inverse(Z_49),double_divide(inverse(multiply(inverse(Z_33),Z_33)),inverse(Z_27))),inverse(Z_27)) = Z_49 ),
    inference(superposition,[status(thm),theory(equality)],[c_326,c_758]) ).

tff(c_864,plain,
    ! [Z_52,Z_53] : ( double_divide(multiply(inverse(Z_52),Z_53),inverse(Z_53)) = Z_52 ),
    inference(demodulation,[status(thm),theory(equality)],[c_333,c_817]) ).

tff(c_1032,plain,
    ! [Z_56,Z_57] : ( double_divide(inverse(Z_56),inverse(multiply(inverse(Z_57),Z_57))) = Z_56 ),
    inference(superposition,[status(thm),theory(equality)],[c_271,c_864]) ).

tff(c_1218,plain,
    ! [Z_63,Z_62] : ( multiply(inverse(Z_63),Z_63) = multiply(inverse(Z_62),Z_62) ),
    inference(superposition,[status(thm),theory(equality)],[c_1032,c_333]) ).

tff(c_6,plain,
    ( ( multiply(b4,a4) != multiply(a4,b4) )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(multiply(inverse(b2),b2),a2) != a2 )
    | ( multiply(inverse(b1),b1) != multiply(inverse(a1),a1) ) ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_157,plain,
    multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
    inference(splitLeft,[status(thm)],[c_6]) ).

tff(c_1354,plain,
    ! [Z_63] : ( multiply(inverse(a1),a1) != multiply(inverse(Z_63),Z_63) ),
    inference(superposition,[status(thm),theory(equality)],[c_1218,c_157]) ).

tff(c_1436,plain,
    $false,
    inference(reflexivity,[status(thm),theory(equality)],[c_1354]) ).

tff(c_1437,plain,
    ( ( multiply(multiply(inverse(b2),b2),a2) != a2 )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(b4,a4) != multiply(a4,b4) ) ),
    inference(splitRight,[status(thm)],[c_6]) ).

tff(c_1556,plain,
    multiply(b4,a4) != multiply(a4,b4),
    inference(splitLeft,[status(thm)],[c_1437]) ).

tff(c_9034,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8989,c_1556]) ).

tff(c_9035,plain,
    ( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
    | ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
    inference(splitRight,[status(thm)],[c_1437]) ).

tff(c_9268,plain,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    inference(splitLeft,[status(thm)],[c_9035]) ).

tff(c_11907,plain,
    ! [Z_239] : ( multiply(multiply(inverse(Z_239),Z_239),a2) != a2 ),
    inference(superposition,[status(thm),theory(equality)],[c_11574,c_9268]) ).

tff(c_11927,plain,
    ! [Z_195] : ( multiply(inverse(multiply(inverse(Z_195),Z_195)),a2) != a2 ),
    inference(superposition,[status(thm),theory(equality)],[c_9589,c_11907]) ).

tff(c_13228,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_13042,c_11927]) ).

tff(c_13230,plain,
    multiply(multiply(inverse(b2),b2),a2) = a2,
    inference(splitRight,[status(thm)],[c_9035]) ).

tff(c_15749,plain,
    ! [X_309,Y_310,Z_311] : ( double_divide(multiply(multiply(X_309,Y_310),Z_311),inverse(Z_311)) = double_divide(Y_310,X_309) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_15331]) ).

tff(c_15895,plain,
    double_divide(b2,inverse(b2)) = double_divide(a2,inverse(a2)),
    inference(superposition,[status(thm),theory(equality)],[c_13230,c_15749]) ).

tff(c_16004,plain,
    inverse(double_divide(a2,inverse(a2))) = multiply(inverse(b2),b2),
    inference(superposition,[status(thm),theory(equality)],[c_15895,c_4]) ).

tff(c_16007,plain,
    multiply(inverse(b2),b2) = multiply(inverse(a2),a2),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_16004]) ).

tff(c_16249,plain,
    multiply(multiply(inverse(a2),a2),a2) = a2,
    inference(demodulation,[status(thm),theory(equality)],[c_16007,c_13230]) ).

tff(c_17032,plain,
    ! [Z_322] : ( multiply(multiply(inverse(Z_322),Z_322),a2) = a2 ),
    inference(superposition,[status(thm),theory(equality)],[c_16692,c_16249]) ).

tff(c_15428,plain,
    ! [X_4,Y_5,Z_302] : ( double_divide(multiply(multiply(X_4,Y_5),Z_302),inverse(Z_302)) = double_divide(Y_5,X_4) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_15331]) ).

tff(c_17112,plain,
    ! [Z_323] : ( double_divide(a2,inverse(a2)) = double_divide(Z_323,inverse(Z_323)) ),
    inference(superposition,[status(thm),theory(equality)],[c_17032,c_15428]) ).

tff(c_17047,plain,
    ! [Z_322] : ( double_divide(a2,inverse(a2)) = double_divide(Z_322,inverse(Z_322)) ),
    inference(superposition,[status(thm),theory(equality)],[c_17032,c_15428]) ).

tff(c_17115,plain,
    ! [Z_323,Z_322] : ( double_divide(Z_323,inverse(Z_323)) = double_divide(Z_322,inverse(Z_322)) ),
    inference(superposition,[status(thm),theory(equality)],[c_17112,c_17047]) ).

tff(c_17179,plain,
    ! [Z_8] : ( multiply(inverse(Z_8),Z_8) = double_divide(a2,inverse(a2)) ),
    inference(superposition,[status(thm),theory(equality)],[c_17112,c_13432]) ).

tff(c_18679,plain,
    ! [Z_338] : ( double_divide(double_divide(a2,inverse(a2)),inverse(Z_338)) = Z_338 ),
    inference(demodulation,[status(thm),theory(equality)],[c_17179,c_13432]) ).

tff(c_18761,plain,
    ! [Z_322,Z_338] : ( double_divide(double_divide(Z_322,inverse(Z_322)),inverse(Z_338)) = Z_338 ),
    inference(superposition,[status(thm),theory(equality)],[c_17115,c_18679]) ).

tff(c_17237,plain,
    ! [Z_323] : ( inverse(double_divide(Z_323,inverse(Z_323))) = multiply(inverse(a2),a2) ),
    inference(superposition,[status(thm),theory(equality)],[c_17112,c_4]) ).

tff(c_18280,plain,
    ! [Z_323] : ( inverse(double_divide(Z_323,inverse(Z_323))) = double_divide(a2,inverse(a2)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_17179,c_17237]) ).

tff(c_15440,plain,
    ! [Z_303,Z_304] : ( multiply(inverse(Z_303),multiply(inverse(Z_304),Z_303)) = inverse(Z_304) ),
    inference(superposition,[status(thm),theory(equality)],[c_15331,c_4]) ).

tff(c_15311,plain,
    ! [Z_298,Z_265] : ( double_divide(multiply(inverse(Z_298),Z_265),inverse(Z_265)) = Z_298 ),
    inference(demodulation,[status(thm),theory(equality)],[c_13531,c_15218]) ).

tff(c_20673,plain,
    ! [Z_366,Z_367] : ( double_divide(inverse(Z_366),inverse(multiply(inverse(Z_366),Z_367))) = Z_367 ),
    inference(superposition,[status(thm),theory(equality)],[c_15440,c_15311]) ).

tff(c_20752,plain,
    ! [Z_323,Z_367] : ( double_divide(double_divide(a2,inverse(a2)),inverse(multiply(inverse(double_divide(Z_323,inverse(Z_323))),Z_367))) = Z_367 ),
    inference(superposition,[status(thm),theory(equality)],[c_18280,c_20673]) ).

tff(c_20795,plain,
    ! [Z_323,Z_367] : ( multiply(multiply(inverse(Z_323),Z_323),Z_367) = Z_367 ),
    inference(demodulation,[status(thm),theory(equality)],[c_18761,c_4,c_20752]) ).

tff(c_17352,plain,
    ! [Z_326,Z_325] : ( double_divide(Z_326,inverse(Z_326)) = double_divide(Z_325,inverse(Z_325)) ),
    inference(superposition,[status(thm),theory(equality)],[c_17112,c_17047]) ).

tff(c_19355,plain,
    ! [Z_347,Z_348] : ( multiply(inverse(Z_347),Z_347) = double_divide(Z_348,inverse(Z_348)) ),
    inference(superposition,[status(thm),theory(equality)],[c_13432,c_17352]) ).

tff(c_15393,plain,
    ! [Z_264,Z_263] : ( double_divide(inverse(Z_264),inverse(multiply(inverse(Z_263),Z_263))) = Z_264 ),
    inference(superposition,[status(thm),theory(equality)],[c_13471,c_15331]) ).

tff(c_17947,plain,
    ! [Z_264] : ( double_divide(inverse(Z_264),inverse(double_divide(a2,inverse(a2)))) = Z_264 ),
    inference(demodulation,[status(thm),theory(equality)],[c_17179,c_15393]) ).

tff(c_18972,plain,
    ! [Z_341] : ( double_divide(inverse(Z_341),double_divide(a2,inverse(a2))) = Z_341 ),
    inference(demodulation,[status(thm),theory(equality)],[c_17179,c_4,c_17947]) ).

tff(c_19024,plain,
    ! [Z_341,Z_322] : ( double_divide(inverse(Z_341),double_divide(Z_322,inverse(Z_322))) = Z_341 ),
    inference(superposition,[status(thm),theory(equality)],[c_17115,c_18972]) ).

tff(c_19361,plain,
    ! [Z_341,Z_347] : ( double_divide(inverse(Z_341),multiply(inverse(Z_347),Z_347)) = Z_341 ),
    inference(superposition,[status(thm),theory(equality)],[c_19355,c_19024]) ).

tff(c_21180,plain,
    ! [Z_373,Z_374] : ( multiply(multiply(inverse(Z_373),Z_373),Z_374) = Z_374 ),
    inference(demodulation,[status(thm),theory(equality)],[c_18761,c_4,c_20752]) ).

tff(c_21628,plain,
    ! [Y_377,Z_378] : ( multiply(Y_377,double_divide(Z_378,Y_377)) = inverse(Z_378) ),
    inference(superposition,[status(thm),theory(equality)],[c_21180,c_26]) ).

tff(c_21822,plain,
    ! [Z_347,Z_341] : ( multiply(multiply(inverse(Z_347),Z_347),Z_341) = inverse(inverse(Z_341)) ),
    inference(superposition,[status(thm),theory(equality)],[c_19361,c_21628]) ).

tff(c_21901,plain,
    ! [Z_341] : ( inverse(inverse(Z_341)) = Z_341 ),
    inference(demodulation,[status(thm),theory(equality)],[c_20795,c_21822]) ).

tff(c_21422,plain,
    ! [Z_375,Y_376] : ( double_divide(double_divide(Z_375,Y_376),Y_376) = Z_375 ),
    inference(superposition,[status(thm),theory(equality)],[c_21180,c_7]) ).

tff(c_41625,plain,
    ! [Z_528,Z_529] : ( multiply(inverse(Z_528),Z_529) = double_divide(Z_528,inverse(Z_529)) ),
    inference(superposition,[status(thm),theory(equality)],[c_15311,c_21422]) ).

tff(c_43537,plain,
    ! [Z_545,Z_546] : ( double_divide(inverse(Z_545),inverse(Z_546)) = multiply(Z_545,Z_546) ),
    inference(superposition,[status(thm),theory(equality)],[c_21901,c_41625]) ).

tff(c_54423,plain,
    ! [Z_606,Z_607] : ( multiply(Z_606,inverse(Z_607)) = double_divide(inverse(Z_606),Z_607) ),
    inference(superposition,[status(thm),theory(equality)],[c_21901,c_43537]) ).

tff(c_54722,plain,
    ! [Z_606,Y_5,X_4] : ( double_divide(inverse(Z_606),double_divide(Y_5,X_4)) = multiply(Z_606,multiply(X_4,Y_5)) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_54423]) ).

tff(c_21904,plain,
    ! [Z_379] : ( inverse(inverse(Z_379)) = Z_379 ),
    inference(demodulation,[status(thm),theory(equality)],[c_20795,c_21822]) ).

tff(c_15374,plain,
    ! [Z_302,Z_301] : ( multiply(inverse(Z_302),multiply(inverse(Z_301),Z_302)) = inverse(Z_301) ),
    inference(superposition,[status(thm),theory(equality)],[c_15331,c_4]) ).

tff(c_22030,plain,
    ! [Z_302,Z_379] : ( multiply(inverse(Z_302),multiply(Z_379,Z_302)) = inverse(inverse(Z_379)) ),
    inference(superposition,[status(thm),theory(equality)],[c_21904,c_15374]) ).

tff(c_24976,plain,
    ! [Z_404,Z_405] : ( multiply(inverse(Z_404),multiply(Z_405,Z_404)) = Z_405 ),
    inference(demodulation,[status(thm),theory(equality)],[c_21901,c_22030]) ).

tff(c_240731,plain,
    ! [Z_1125,Z_1126,Y_1127] : ( double_divide(multiply(Z_1125,double_divide(multiply(Z_1125,Z_1126),Y_1127)),Y_1127) = Z_1126 ),
    inference(superposition,[status(thm),theory(equality)],[c_24976,c_7]) ).

tff(c_22081,plain,
    ! [X_4,Y_5] : ( inverse(multiply(X_4,Y_5)) = double_divide(Y_5,X_4) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_21904]) ).

tff(c_25030,plain,
    ! [Z_405,Z_404] : ( double_divide(Z_405,inverse(multiply(Z_405,Z_404))) = Z_404 ),
    inference(superposition,[status(thm),theory(equality)],[c_24976,c_15311]) ).

tff(c_25162,plain,
    ! [Z_405,Z_404] : ( double_divide(Z_405,double_divide(Z_404,Z_405)) = Z_404 ),
    inference(demodulation,[status(thm),theory(equality)],[c_22081,c_25030]) ).

tff(c_310148,plain,
    ! [Z_1240,Z_1241,Y_1242] : ( multiply(Z_1240,double_divide(multiply(Z_1240,Z_1241),Y_1242)) = double_divide(Y_1242,Z_1241) ),
    inference(superposition,[status(thm),theory(equality)],[c_240731,c_25162]) ).

tff(c_21719,plain,
    ! [Z_378,Z_298] : ( double_divide(inverse(Z_378),inverse(double_divide(Z_378,inverse(Z_298)))) = Z_298 ),
    inference(superposition,[status(thm),theory(equality)],[c_21628,c_15311]) ).

tff(c_40556,plain,
    ! [Z_521,Z_522] : ( double_divide(inverse(Z_521),multiply(inverse(Z_522),Z_521)) = Z_522 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_21719]) ).

tff(c_43017,plain,
    ! [Z_541,Z_542] : ( double_divide(inverse(Z_541),multiply(Z_542,Z_541)) = inverse(Z_542) ),
    inference(superposition,[status(thm),theory(equality)],[c_21901,c_40556]) ).

tff(c_21318,plain,
    ! [Z_373,Y_2] : ( double_divide(double_divide(Z_373,Y_2),Y_2) = Z_373 ),
    inference(superposition,[status(thm),theory(equality)],[c_21180,c_7]) ).

tff(c_43066,plain,
    ! [Z_542,Z_541] : ( double_divide(inverse(Z_542),multiply(Z_542,Z_541)) = inverse(Z_541) ),
    inference(superposition,[status(thm),theory(equality)],[c_43017,c_21318]) ).

tff(c_310916,plain,
    ! [Z_1240,Y_1242,Z_1241] : ( double_divide(inverse(Z_1240),double_divide(Y_1242,Z_1241)) = inverse(double_divide(multiply(Z_1240,Z_1241),Y_1242)) ),
    inference(superposition,[status(thm),theory(equality)],[c_310148,c_43066]) ).

tff(c_311941,plain,
    ! [Z_1240,Z_1241,Y_1242] : ( multiply(Z_1240,multiply(Z_1241,Y_1242)) = multiply(Y_1242,multiply(Z_1240,Z_1241)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_54722,c_4,c_310916]) ).

tff(c_21310,plain,
    ! [Y_10,Z_373] : ( multiply(Y_10,double_divide(Z_373,Y_10)) = inverse(Z_373) ),
    inference(superposition,[status(thm),theory(equality)],[c_21180,c_26]) ).

tff(c_25091,plain,
    ! [Z_373,Y_10] : ( multiply(inverse(double_divide(Z_373,Y_10)),inverse(Z_373)) = Y_10 ),
    inference(superposition,[status(thm),theory(equality)],[c_21310,c_24976]) ).

tff(c_29607,plain,
    ! [Y_437,Z_438] : ( multiply(multiply(Y_437,Z_438),inverse(Z_438)) = Y_437 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_25091]) ).

tff(c_22094,plain,
    ! [Z_302,Z_379] : ( multiply(inverse(Z_302),multiply(Z_379,Z_302)) = Z_379 ),
    inference(demodulation,[status(thm),theory(equality)],[c_21901,c_22030]) ).

tff(c_29626,plain,
    ! [Z_438,Y_437] : ( multiply(inverse(inverse(Z_438)),Y_437) = multiply(Y_437,Z_438) ),
    inference(superposition,[status(thm),theory(equality)],[c_29607,c_22094]) ).

tff(c_29817,plain,
    ! [Z_438,Y_437] : ( multiply(Z_438,Y_437) = multiply(Y_437,Z_438) ),
    inference(demodulation,[status(thm),theory(equality)],[c_21901,c_29626]) ).

tff(c_13229,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(splitRight,[status(thm)],[c_9035]) ).

tff(c_29867,plain,
    multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
    inference(demodulation,[status(thm),theory(equality)],[c_29817,c_13229]) ).

tff(c_406653,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_311941,c_311941,c_29867]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP105-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 22:23:54 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 153.51/111.27  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 153.51/111.29  
% 153.51/111.29  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 153.51/111.35  
% 153.51/111.35  Inference rules
% 153.51/111.35  ----------------------
% 153.51/111.35  #Ref     : 1
% 153.51/111.35  #Sup     : 101857
% 153.51/111.35  #Fact    : 0
% 153.51/111.35  #Define  : 0
% 153.51/111.35  #Split   : 3
% 153.51/111.35  #Chain   : 0
% 153.51/111.35  #Close   : 0
% 153.51/111.35  
% 153.51/111.35  Ordering : KBO
% 153.51/111.35  
% 153.51/111.35  Simplification rules
% 153.51/111.35  ----------------------
% 153.51/111.35  #Subsume      : 9677
% 153.51/111.35  #Demod        : 213052
% 153.51/111.35  #Tautology    : 26502
% 153.51/111.35  #SimpNegUnit  : 0
% 153.51/111.35  #BackRed      : 208
% 153.51/111.35  
% 153.51/111.35  #Partial instantiations: 0
% 153.51/111.35  #Strategies tried      : 1
% 153.51/111.35  
% 153.51/111.35  Timing (in seconds)
% 153.51/111.35  ----------------------
% 153.51/111.35  Preprocessing        : 0.42
% 153.51/111.35  Parsing              : 0.22
% 153.51/111.35  CNF conversion       : 0.02
% 153.51/111.35  Main loop            : 109.82
% 153.51/111.35  Inferencing          : 8.20
% 153.51/111.35  Reduction            : 83.50
% 153.51/111.35  Demodulation         : 80.98
% 153.51/111.35  BG Simplification    : 1.22
% 153.51/111.35  Subsumption          : 12.17
% 153.51/111.35  Abstraction          : 2.73
% 153.51/111.35  MUC search           : 0.00
% 153.51/111.35  Cooper               : 0.00
% 153.51/111.35  Total                : 110.32
% 153.51/111.35  Index Insertion      : 0.00
% 153.51/111.35  Index Deletion       : 0.00
% 153.51/111.35  Index Matching       : 0.00
% 153.51/111.35  BG Taut test         : 0.00
%------------------------------------------------------------------------------