TSTP Solution File: GRP063-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 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 : n008.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 10:39:45 EDT 2023

% Result   : Unsatisfiable 13.65s 4.69s
% Output   : CNFRefutation 13.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   99 (  86 unt;  10 typ;   0 def)
%            Number of atoms       :   94 (  91 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  14   ~;   5   |;   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    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  180 (; 180   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ multiply > divide > #nlpp > inverse > c3 > b3 > b2 > b1 > 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(divide,type,
    divide: ( $i * $i ) > $i ).

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

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

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

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

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

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

tff(f_31,axiom,
    ! [X,Z] : ( inverse(X) = divide(divide(Z,Z),X) ),
    file(unknown,unknown) ).

tff(f_28,axiom,
    ! [X,Y,Z] : ( multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)) ),
    file(unknown,unknown) ).

tff(f_25,axiom,
    ! [X,Y,Z] : ( divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) = Y ),
    file(unknown,unknown) ).

tff(f_39,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)) ) ),
    file(unknown,unknown) ).

tff(c_6,plain,
    ! [Z_8,X_7] : ( divide(divide(Z_8,Z_8),X_7) = inverse(X_7) ),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_11,plain,
    ! [Z_9,X_10] : ( divide(divide(Z_9,Z_9),X_10) = inverse(X_10) ),
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_22,plain,
    ! [Z_8,X_10] : ( divide(inverse(divide(Z_8,Z_8)),X_10) = inverse(X_10) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_11]) ).

tff(c_4,plain,
    ! [X_4,Z_6,Y_5] : ( divide(X_4,divide(divide(Z_6,Z_6),Y_5)) = multiply(X_4,Y_5) ),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_9,plain,
    ! [X_4,Y_5] : ( divide(X_4,inverse(Y_5)) = multiply(X_4,Y_5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).

tff(c_2,plain,
    ! [X_1,Y_2,Z_3] : ( divide(X_1,divide(divide(divide(divide(X_1,X_1),Y_2),Z_3),divide(divide(divide(X_1,X_1),X_1),Z_3))) = Y_2 ),
    inference(cnfTransformation,[status(thm)],[f_25]) ).

tff(c_108,plain,
    ! [X_17,Y_18,Z_19] : ( divide(X_17,divide(divide(inverse(Y_18),Z_19),divide(inverse(X_17),Z_19))) = Y_18 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).

tff(c_127,plain,
    ! [Y_18,Z_19,Z_8] : ( inverse(divide(divide(inverse(Y_18),Z_19),divide(inverse(divide(Z_8,Z_8)),Z_19))) = Y_18 ),
    inference(superposition,[status(thm),theory(equality)],[c_108,c_6]) ).

tff(c_198,plain,
    ! [Y_22,Z_23] : ( inverse(multiply(divide(inverse(Y_22),Z_23),Z_23)) = Y_22 ),
    inference(demodulation,[status(thm),theory(equality)],[c_9,c_22,c_127]) ).

tff(c_31158,plain,
    ! [X_301,Z_302] : ( inverse(multiply(inverse(X_301),X_301)) = divide(Z_302,Z_302) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_198]) ).

tff(c_233,plain,
    ! [X_10,Z_8] : ( inverse(multiply(inverse(X_10),X_10)) = divide(Z_8,Z_8) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_198]) ).

tff(c_31275,plain,
    ! [Z_304,Z_303] : ( divide(Z_304,Z_304) = divide(Z_303,Z_303) ),
    inference(superposition,[status(thm),theory(equality)],[c_31158,c_233]) ).

tff(c_10,plain,
    ! [X_1,Y_2,Z_3] : ( divide(X_1,divide(divide(inverse(Y_2),Z_3),divide(inverse(X_1),Z_3))) = Y_2 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_6,c_2]) ).

tff(c_31327,plain,
    ! [Y_2,Z_303] : ( divide(Y_2,divide(Z_303,Z_303)) = Y_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_31275,c_10]) ).

tff(c_31563,plain,
    ! [Z_307,Z_308] : ( inverse(divide(Z_307,Z_307)) = divide(Z_308,Z_308) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_31275]) ).

tff(c_31645,plain,
    ! [X_4,Z_307,Z_308] : ( multiply(X_4,divide(Z_307,Z_307)) = divide(X_4,divide(Z_308,Z_308)) ),
    inference(superposition,[status(thm),theory(equality)],[c_31563,c_9]) ).

tff(c_31721,plain,
    ! [X_4,Z_307] : ( multiply(X_4,divide(Z_307,Z_307)) = X_4 ),
    inference(demodulation,[status(thm),theory(equality)],[c_31327,c_31645]) ).

tff(c_31723,plain,
    ! [X_309,Z_310] : ( multiply(X_309,divide(Z_310,Z_310)) = X_309 ),
    inference(demodulation,[status(thm),theory(equality)],[c_31327,c_31645]) ).

tff(c_160,plain,
    ! [X_17,Y_18] : ( divide(X_17,inverse(divide(inverse(X_17),inverse(Y_18)))) = Y_18 ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_108]) ).

tff(c_171,plain,
    ! [X_17,Y_18] : ( multiply(X_17,multiply(inverse(X_17),Y_18)) = Y_18 ),
    inference(demodulation,[status(thm),theory(equality)],[c_9,c_9,c_160]) ).

tff(c_173,plain,
    ! [X_20,Y_21] : ( multiply(X_20,multiply(inverse(X_20),Y_21)) = Y_21 ),
    inference(demodulation,[status(thm),theory(equality)],[c_9,c_9,c_160]) ).

tff(c_188,plain,
    ! [X_20,Y_18] : ( multiply(inverse(inverse(X_20)),Y_18) = multiply(X_20,Y_18) ),
    inference(superposition,[status(thm),theory(equality)],[c_171,c_173]) ).

tff(c_31737,plain,
    ! [X_20,Z_310] : ( multiply(X_20,divide(Z_310,Z_310)) = inverse(inverse(X_20)) ),
    inference(superposition,[status(thm),theory(equality)],[c_31723,c_188]) ).

tff(c_31794,plain,
    ! [X_20] : ( inverse(inverse(X_20)) = X_20 ),
    inference(demodulation,[status(thm),theory(equality)],[c_31721,c_31737]) ).

tff(c_28,plain,
    ! [X_11,Y_12] : ( divide(X_11,inverse(Y_12)) = multiply(X_11,Y_12) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_4]) ).

tff(c_46,plain,
    ! [Z_8,Y_12] : ( multiply(divide(Z_8,Z_8),Y_12) = inverse(inverse(Y_12)) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_28]) ).

tff(c_31804,plain,
    ! [Z_8,Y_12] : ( multiply(divide(Z_8,Z_8),Y_12) = Y_12 ),
    inference(demodulation,[status(thm),theory(equality)],[c_31794,c_46]) ).

tff(c_32067,plain,
    ! [Y_317,Z_318] : ( multiply(inverse(Y_317),Y_317) = divide(Z_318,Z_318) ),
    inference(superposition,[status(thm),theory(equality)],[c_31275,c_9]) ).

tff(c_3140,plain,
    ! [X_74,Z_75] : ( inverse(multiply(inverse(X_74),X_74)) = divide(Z_75,Z_75) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_198]) ).

tff(c_3293,plain,
    ! [Z_79,Z_78] : ( divide(Z_79,Z_79) = divide(Z_78,Z_78) ),
    inference(superposition,[status(thm),theory(equality)],[c_3140,c_233]) ).

tff(c_3337,plain,
    ! [Y_2,Z_79] : ( divide(Y_2,divide(Z_79,Z_79)) = Y_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_3293,c_10]) ).

tff(c_3585,plain,
    ! [Y_82,Z_83] : ( multiply(inverse(Y_82),Y_82) = divide(Z_83,Z_83) ),
    inference(superposition,[status(thm),theory(equality)],[c_3293,c_9]) ).

tff(c_3745,plain,
    ! [Y_85,Z_86] : ( multiply(Y_85,divide(Z_86,Z_86)) = Y_85 ),
    inference(superposition,[status(thm),theory(equality)],[c_3585,c_171]) ).

tff(c_166,plain,
    ! [Y_18,Z_19] : ( inverse(multiply(divide(inverse(Y_18),Z_19),Z_19)) = Y_18 ),
    inference(demodulation,[status(thm),theory(equality)],[c_9,c_22,c_127]) ).

tff(c_3768,plain,
    ! [Y_18,Z_86] : ( inverse(divide(inverse(Y_18),divide(Z_86,Z_86))) = Y_18 ),
    inference(superposition,[status(thm),theory(equality)],[c_3745,c_166]) ).

tff(c_3822,plain,
    ! [Y_18] : ( inverse(inverse(Y_18)) = Y_18 ),
    inference(demodulation,[status(thm),theory(equality)],[c_3337,c_3768]) ).

tff(c_3830,plain,
    ! [Y_87] : ( inverse(inverse(Y_87)) = Y_87 ),
    inference(demodulation,[status(thm),theory(equality)],[c_3337,c_3768]) ).

tff(c_3860,plain,
    ! [X_4,Y_87] : ( multiply(X_4,inverse(Y_87)) = divide(X_4,Y_87) ),
    inference(superposition,[status(thm),theory(equality)],[c_3830,c_9]) ).

tff(c_3369,plain,
    ! [Y_5,Z_79] : ( multiply(inverse(Y_5),Y_5) = divide(Z_79,Z_79) ),
    inference(superposition,[status(thm),theory(equality)],[c_3293,c_9]) ).

tff(c_156,plain,
    ! [X_17,Y_18,Y_5] : ( divide(X_17,divide(divide(inverse(Y_18),inverse(Y_5)),multiply(inverse(X_17),Y_5))) = Y_18 ),
    inference(superposition,[status(thm),theory(equality)],[c_9,c_108]) ).

tff(c_4103,plain,
    ! [X_92,Y_93,Y_94] : ( divide(X_92,divide(multiply(inverse(Y_93),Y_94),multiply(inverse(X_92),Y_94))) = Y_93 ),
    inference(demodulation,[status(thm),theory(equality)],[c_9,c_156]) ).

tff(c_4171,plain,
    ! [Y_5,Y_93,Z_79] : ( divide(Y_5,divide(multiply(inverse(Y_93),Y_5),divide(Z_79,Z_79))) = Y_93 ),
    inference(superposition,[status(thm),theory(equality)],[c_3369,c_4103]) ).

tff(c_4426,plain,
    ! [Y_97,Y_98] : ( divide(Y_97,multiply(inverse(Y_98),Y_97)) = Y_98 ),
    inference(demodulation,[status(thm),theory(equality)],[c_3337,c_4171]) ).

tff(c_4486,plain,
    ! [Y_98,Y_18] : ( divide(multiply(inverse(inverse(Y_98)),Y_18),Y_18) = Y_98 ),
    inference(superposition,[status(thm),theory(equality)],[c_171,c_4426]) ).

tff(c_4504,plain,
    ! [Y_99,Y_100] : ( divide(multiply(Y_99,Y_100),Y_100) = Y_99 ),
    inference(demodulation,[status(thm),theory(equality)],[c_3822,c_4486]) ).

tff(c_4523,plain,
    ! [Y_99,Y_5] : ( multiply(multiply(Y_99,inverse(Y_5)),Y_5) = Y_99 ),
    inference(superposition,[status(thm),theory(equality)],[c_4504,c_9]) ).

tff(c_7623,plain,
    ! [Y_139,Y_140] : ( multiply(divide(Y_139,Y_140),Y_140) = Y_139 ),
    inference(demodulation,[status(thm),theory(equality)],[c_3860,c_4523]) ).

tff(c_4462,plain,
    ! [Y_97,Y_18] : ( divide(Y_97,multiply(Y_18,Y_97)) = inverse(Y_18) ),
    inference(superposition,[status(thm),theory(equality)],[c_3822,c_4426]) ).

tff(c_8131,plain,
    ! [Y_145,Y_146] : ( inverse(divide(Y_145,Y_146)) = divide(Y_146,Y_145) ),
    inference(superposition,[status(thm),theory(equality)],[c_7623,c_4462]) ).

tff(c_8294,plain,
    ! [Y_5,X_4] : ( divide(inverse(Y_5),X_4) = inverse(multiply(X_4,Y_5)) ),
    inference(superposition,[status(thm),theory(equality)],[c_9,c_8131]) ).

tff(c_7142,plain,
    ! [Y_99,Y_5] : ( multiply(divide(Y_99,Y_5),Y_5) = Y_99 ),
    inference(demodulation,[status(thm),theory(equality)],[c_3860,c_4523]) ).

tff(c_213,plain,
    ! [Y_22,Z_23,Y_2,Z_3] : ( divide(multiply(divide(inverse(Y_22),Z_23),Z_23),divide(divide(inverse(Y_2),Z_3),divide(Y_22,Z_3))) = Y_2 ),
    inference(superposition,[status(thm),theory(equality)],[c_198,c_10]) ).

tff(c_16643,plain,
    ! [Y_207,Z_208,Y_209] : ( multiply(inverse(Y_207),multiply(divide(Y_207,Z_208),multiply(Z_208,Y_209))) = Y_209 ),
    inference(demodulation,[status(thm),theory(equality)],[c_9,c_8294,c_8294,c_7142,c_213]) ).

tff(c_3851,plain,
    ! [Y_87,Y_18] : ( multiply(inverse(Y_87),multiply(Y_87,Y_18)) = Y_18 ),
    inference(superposition,[status(thm),theory(equality)],[c_3830,c_171]) ).

tff(c_16695,plain,
    ! [Y_207,Y_209,Z_208] : ( multiply(inverse(inverse(Y_207)),Y_209) = multiply(divide(Y_207,Z_208),multiply(Z_208,Y_209)) ),
    inference(superposition,[status(thm),theory(equality)],[c_16643,c_3851]) ).

tff(c_16948,plain,
    ! [Y_207,Z_208,Y_209] : ( multiply(divide(Y_207,Z_208),multiply(Z_208,Y_209)) = multiply(Y_207,Y_209) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3822,c_16695]) ).

tff(c_7633,plain,
    ! [Y_139,Y_140] : ( inverse(divide(Y_139,Y_140)) = divide(Y_140,Y_139) ),
    inference(superposition,[status(thm),theory(equality)],[c_7623,c_4462]) ).

tff(c_226,plain,
    ! [Y_2,Z_3,Y_22] : ( inverse(multiply(Y_2,divide(divide(inverse(Y_2),Z_3),divide(inverse(inverse(Y_22)),Z_3)))) = Y_22 ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_198]) ).

tff(c_15169,plain,
    ! [Y_195,Z_196,Y_197] : ( divide(multiply(divide(Y_195,Z_196),multiply(Z_196,Y_197)),Y_197) = Y_195 ),
    inference(demodulation,[status(thm),theory(equality)],[c_7633,c_3860,c_8294,c_8294,c_3822,c_226]) ).

tff(c_15306,plain,
    ! [Y_195,Y_87,Y_18] : ( divide(multiply(divide(Y_195,inverse(Y_87)),Y_18),multiply(Y_87,Y_18)) = Y_195 ),
    inference(superposition,[status(thm),theory(equality)],[c_3851,c_15169]) ).

tff(c_15418,plain,
    ! [Y_195,Y_87,Y_18] : ( divide(multiply(multiply(Y_195,Y_87),Y_18),multiply(Y_87,Y_18)) = Y_195 ),
    inference(demodulation,[status(thm),theory(equality)],[c_9,c_15306]) ).

tff(c_35,plain,
    ! [Y_12,X_7] : ( divide(multiply(inverse(Y_12),Y_12),X_7) = inverse(X_7) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_6]) ).

tff(c_7770,plain,
    ! [X_141,Y_142] : ( divide(X_141,inverse(multiply(inverse(X_141),Y_142))) = Y_142 ),
    inference(superposition,[status(thm),theory(equality)],[c_35,c_4103]) ).

tff(c_11678,plain,
    ! [Y_173,Y_174] : ( divide(inverse(Y_173),inverse(multiply(Y_173,Y_174))) = Y_174 ),
    inference(superposition,[status(thm),theory(equality)],[c_3822,c_7770]) ).

tff(c_11701,plain,
    ! [Y_174,Y_173] : ( multiply(Y_174,inverse(multiply(Y_173,Y_174))) = inverse(Y_173) ),
    inference(superposition,[status(thm),theory(equality)],[c_11678,c_7142]) ).

tff(c_15230,plain,
    ! [Y_195,Y_174,Y_173] : ( divide(multiply(divide(Y_195,Y_174),inverse(Y_173)),inverse(multiply(Y_173,Y_174))) = Y_195 ),
    inference(superposition,[status(thm),theory(equality)],[c_11701,c_15169]) ).

tff(c_28676,plain,
    ! [Y_282,Y_283,Y_284] : ( multiply(divide(divide(Y_282,Y_283),Y_284),multiply(Y_284,Y_283)) = Y_282 ),
    inference(demodulation,[status(thm),theory(equality)],[c_9,c_3860,c_15230]) ).

tff(c_28778,plain,
    ! [Y_195,Y_284,Y_87,Y_18] : ( multiply(divide(Y_195,Y_284),multiply(Y_284,multiply(Y_87,Y_18))) = multiply(multiply(Y_195,Y_87),Y_18) ),
    inference(superposition,[status(thm),theory(equality)],[c_15418,c_28676]) ).

tff(c_29086,plain,
    ! [Y_195,Y_87,Y_18] : ( multiply(multiply(Y_195,Y_87),Y_18) = multiply(Y_195,multiply(Y_87,Y_18)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_16948,c_28778]) ).

tff(c_510,plain,
    ! [X_34,Z_35] : ( inverse(multiply(inverse(X_34),X_34)) = divide(Z_35,Z_35) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_198]) ).

tff(c_637,plain,
    ! [Z_37,Z_36] : ( divide(Z_37,Z_37) = divide(Z_36,Z_36) ),
    inference(superposition,[status(thm),theory(equality)],[c_510,c_233]) ).

tff(c_717,plain,
    ! [Y_5,Z_37] : ( multiply(inverse(Y_5),Y_5) = divide(Z_37,Z_37) ),
    inference(superposition,[status(thm),theory(equality)],[c_637,c_9]) ).

tff(c_1110,plain,
    ! [Y_42,Z_43] : ( multiply(inverse(Y_42),Y_42) = divide(Z_43,Z_43) ),
    inference(superposition,[status(thm),theory(equality)],[c_637,c_9]) ).

tff(c_8,plain,
    ( ( 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_39]) ).

tff(c_291,plain,
    multiply(inverse(b1),b1) != multiply(inverse(a1),a1),
    inference(splitLeft,[status(thm)],[c_8]) ).

tff(c_2882,plain,
    ! [Z_69] : ( multiply(inverse(a1),a1) != divide(Z_69,Z_69) ),
    inference(superposition,[status(thm),theory(equality)],[c_1110,c_291]) ).

tff(c_2896,plain,
    ! [Z_69,Z_37] : ( divide(Z_69,Z_69) != divide(Z_37,Z_37) ),
    inference(superposition,[status(thm),theory(equality)],[c_717,c_2882]) ).

tff(c_517,plain,
    ! [Z_8,Z_35] : ( divide(Z_8,Z_8) = divide(Z_35,Z_35) ),
    inference(superposition,[status(thm),theory(equality)],[c_510,c_233]) ).

tff(c_3076,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2896,c_517]) ).

tff(c_3077,plain,
    ( ( multiply(multiply(inverse(b2),b2),a2) != a2 )
    | ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
    inference(splitRight,[status(thm)],[c_8]) ).

tff(c_3137,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(splitLeft,[status(thm)],[c_3077]) ).

tff(c_31061,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_29086,c_3137]) ).

tff(c_31062,plain,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    inference(splitRight,[status(thm)],[c_3077]) ).

tff(c_32112,plain,
    ! [Z_318] : ( multiply(divide(Z_318,Z_318),a2) != a2 ),
    inference(superposition,[status(thm),theory(equality)],[c_32067,c_31062]) ).

tff(c_32213,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_31804,c_32112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP063-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.00/0.14  % 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
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 21:57:34 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 13.65/4.69  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.79/4.70  
% 13.79/4.70  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.94/4.74  
% 13.94/4.74  Inference rules
% 13.94/4.74  ----------------------
% 13.94/4.74  #Ref     : 0
% 13.94/4.74  #Sup     : 8284
% 13.94/4.74  #Fact    : 0
% 13.94/4.74  #Define  : 0
% 13.94/4.74  #Split   : 2
% 13.94/4.74  #Chain   : 0
% 13.94/4.74  #Close   : 0
% 13.94/4.74  
% 13.94/4.74  Ordering : KBO
% 13.94/4.74  
% 13.94/4.74  Simplification rules
% 13.94/4.74  ----------------------
% 13.94/4.74  #Subsume      : 2234
% 13.94/4.74  #Demod        : 11426
% 13.94/4.74  #Tautology    : 3755
% 13.94/4.74  #SimpNegUnit  : 1
% 13.94/4.74  #BackRed      : 38
% 13.94/4.74  
% 13.94/4.74  #Partial instantiations: 0
% 13.94/4.74  #Strategies tried      : 1
% 13.94/4.74  
% 13.94/4.74  Timing (in seconds)
% 13.94/4.74  ----------------------
% 13.94/4.74  Preprocessing        : 0.41
% 13.94/4.74  Parsing              : 0.22
% 13.94/4.74  CNF conversion       : 0.02
% 13.94/4.74  Main loop            : 3.24
% 13.94/4.74  Inferencing          : 0.83
% 13.94/4.74  Reduction            : 1.66
% 13.94/4.74  Demodulation         : 1.48
% 13.94/4.74  BG Simplification    : 0.09
% 13.94/4.74  Subsumption          : 0.44
% 13.94/4.74  Abstraction          : 0.18
% 13.94/4.74  MUC search           : 0.00
% 13.94/4.74  Cooper               : 0.00
% 13.94/4.74  Total                : 3.71
% 13.94/4.74  Index Insertion      : 0.00
% 13.94/4.74  Index Deletion       : 0.00
% 13.94/4.74  Index Matching       : 0.00
% 13.94/4.74  BG Taut test         : 0.00
%------------------------------------------------------------------------------