TSTP Solution File: ALG185+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : ALG185+1 : TPTP v8.1.2. Released 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 : 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 10:32:18 EDT 2023

% Result   : Theorem 12.58s 4.22s
% Output   : CNFRefutation 12.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  612 ( 557 unt;  14 typ;   0 def)
%            Number of atoms       :  861 ( 801 equ)
%            Maximal formula atoms :  110 (   1 avg)
%            Number of connectives :  324 (  61   ~; 128   |; 134   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   63 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    6 (   4   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ op2 > op1 > #nlpp > j > h > e24 > e23 > e22 > e21 > e20 > e14 > e13 > e12 > e11 > e10

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(e21,type,
    e21: $i ).

tff(e24,type,
    e24: $i ).

tff(e20,type,
    e20: $i ).

tff(e13,type,
    e13: $i ).

tff(e22,type,
    e22: $i ).

tff(op2,type,
    op2: ( $i * $i ) > $i ).

tff(op1,type,
    op1: ( $i * $i ) > $i ).

tff(e10,type,
    e10: $i ).

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

tff(e23,type,
    e23: $i ).

tff(e14,type,
    e14: $i ).

tff(e12,type,
    e12: $i ).

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

tff(e11,type,
    e11: $i ).

tff(f_54,axiom,
    ( ( e10 != e11 )
    & ( e10 != e12 )
    & ( e10 != e13 )
    & ( e10 != e14 )
    & ( e11 != e12 )
    & ( e11 != e13 )
    & ( e11 != e14 )
    & ( e12 != e13 )
    & ( e12 != e14 )
    & ( e13 != e14 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

tff(f_476,negated_conjecture,
    ~ ( ( ( ( h(e10) = e20 )
          | ( h(e10) = e21 )
          | ( h(e10) = e22 )
          | ( h(e10) = e23 )
          | ( h(e10) = e24 ) )
        & ( ( h(e11) = e20 )
          | ( h(e11) = e21 )
          | ( h(e11) = e22 )
          | ( h(e11) = e23 )
          | ( h(e11) = e24 ) )
        & ( ( h(e12) = e20 )
          | ( h(e12) = e21 )
          | ( h(e12) = e22 )
          | ( h(e12) = e23 )
          | ( h(e12) = e24 ) )
        & ( ( h(e13) = e20 )
          | ( h(e13) = e21 )
          | ( h(e13) = e22 )
          | ( h(e13) = e23 )
          | ( h(e13) = e24 ) )
        & ( ( h(e14) = e20 )
          | ( h(e14) = e21 )
          | ( h(e14) = e22 )
          | ( h(e14) = e23 )
          | ( h(e14) = e24 ) )
        & ( ( j(e20) = e10 )
          | ( j(e20) = e11 )
          | ( j(e20) = e12 )
          | ( j(e20) = e13 )
          | ( j(e20) = e14 ) )
        & ( ( j(e21) = e10 )
          | ( j(e21) = e11 )
          | ( j(e21) = e12 )
          | ( j(e21) = e13 )
          | ( j(e21) = e14 ) )
        & ( ( j(e22) = e10 )
          | ( j(e22) = e11 )
          | ( j(e22) = e12 )
          | ( j(e22) = e13 )
          | ( j(e22) = e14 ) )
        & ( ( j(e23) = e10 )
          | ( j(e23) = e11 )
          | ( j(e23) = e12 )
          | ( j(e23) = e13 )
          | ( j(e23) = e14 ) )
        & ( ( j(e24) = e10 )
          | ( j(e24) = e11 )
          | ( j(e24) = e12 )
          | ( j(e24) = e13 )
          | ( j(e24) = e14 ) ) )
     => ~ ( ( h(op1(e10,e10)) = op2(h(e10),h(e10)) )
          & ( h(op1(e10,e11)) = op2(h(e10),h(e11)) )
          & ( h(op1(e10,e12)) = op2(h(e10),h(e12)) )
          & ( h(op1(e10,e13)) = op2(h(e10),h(e13)) )
          & ( h(op1(e10,e14)) = op2(h(e10),h(e14)) )
          & ( h(op1(e11,e10)) = op2(h(e11),h(e10)) )
          & ( h(op1(e11,e11)) = op2(h(e11),h(e11)) )
          & ( h(op1(e11,e12)) = op2(h(e11),h(e12)) )
          & ( h(op1(e11,e13)) = op2(h(e11),h(e13)) )
          & ( h(op1(e11,e14)) = op2(h(e11),h(e14)) )
          & ( h(op1(e12,e10)) = op2(h(e12),h(e10)) )
          & ( h(op1(e12,e11)) = op2(h(e12),h(e11)) )
          & ( h(op1(e12,e12)) = op2(h(e12),h(e12)) )
          & ( h(op1(e12,e13)) = op2(h(e12),h(e13)) )
          & ( h(op1(e12,e14)) = op2(h(e12),h(e14)) )
          & ( h(op1(e13,e10)) = op2(h(e13),h(e10)) )
          & ( h(op1(e13,e11)) = op2(h(e13),h(e11)) )
          & ( h(op1(e13,e12)) = op2(h(e13),h(e12)) )
          & ( h(op1(e13,e13)) = op2(h(e13),h(e13)) )
          & ( h(op1(e13,e14)) = op2(h(e13),h(e14)) )
          & ( h(op1(e14,e10)) = op2(h(e14),h(e10)) )
          & ( h(op1(e14,e11)) = op2(h(e14),h(e11)) )
          & ( h(op1(e14,e12)) = op2(h(e14),h(e12)) )
          & ( h(op1(e14,e13)) = op2(h(e14),h(e13)) )
          & ( h(op1(e14,e14)) = op2(h(e14),h(e14)) )
          & ( j(op2(e20,e20)) = op1(j(e20),j(e20)) )
          & ( j(op2(e20,e21)) = op1(j(e20),j(e21)) )
          & ( j(op2(e20,e22)) = op1(j(e20),j(e22)) )
          & ( j(op2(e20,e23)) = op1(j(e20),j(e23)) )
          & ( j(op2(e20,e24)) = op1(j(e20),j(e24)) )
          & ( j(op2(e21,e20)) = op1(j(e21),j(e20)) )
          & ( j(op2(e21,e21)) = op1(j(e21),j(e21)) )
          & ( j(op2(e21,e22)) = op1(j(e21),j(e22)) )
          & ( j(op2(e21,e23)) = op1(j(e21),j(e23)) )
          & ( j(op2(e21,e24)) = op1(j(e21),j(e24)) )
          & ( j(op2(e22,e20)) = op1(j(e22),j(e20)) )
          & ( j(op2(e22,e21)) = op1(j(e22),j(e21)) )
          & ( j(op2(e22,e22)) = op1(j(e22),j(e22)) )
          & ( j(op2(e22,e23)) = op1(j(e22),j(e23)) )
          & ( j(op2(e22,e24)) = op1(j(e22),j(e24)) )
          & ( j(op2(e23,e20)) = op1(j(e23),j(e20)) )
          & ( j(op2(e23,e21)) = op1(j(e23),j(e21)) )
          & ( j(op2(e23,e22)) = op1(j(e23),j(e22)) )
          & ( j(op2(e23,e23)) = op1(j(e23),j(e23)) )
          & ( j(op2(e23,e24)) = op1(j(e23),j(e24)) )
          & ( j(op2(e24,e20)) = op1(j(e24),j(e20)) )
          & ( j(op2(e24,e21)) = op1(j(e24),j(e21)) )
          & ( j(op2(e24,e22)) = op1(j(e24),j(e22)) )
          & ( j(op2(e24,e23)) = op1(j(e24),j(e23)) )
          & ( j(op2(e24,e24)) = op1(j(e24),j(e24)) )
          & ( h(j(e20)) = e20 )
          & ( h(j(e21)) = e21 )
          & ( h(j(e22)) = e22 )
          & ( h(j(e23)) = e23 )
          & ( h(j(e24)) = e24 )
          & ( j(h(e10)) = e10 )
          & ( j(h(e11)) = e11 )
          & ( j(h(e12)) = e12 )
          & ( j(h(e13)) = e13 )
          & ( j(h(e14)) = e14 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

tff(f_255,axiom,
    ( ( op2(e20,e20) = e20 )
    & ( op2(e20,e21) = e23 )
    & ( op2(e20,e22) = e24 )
    & ( op2(e20,e23) = e22 )
    & ( op2(e20,e24) = e21 )
    & ( op2(e21,e20) = e22 )
    & ( op2(e21,e21) = e21 )
    & ( op2(e21,e22) = e23 )
    & ( op2(e21,e23) = e24 )
    & ( op2(e21,e24) = e20 )
    & ( op2(e22,e20) = e21 )
    & ( op2(e22,e21) = e24 )
    & ( op2(e22,e22) = e22 )
    & ( op2(e22,e23) = e20 )
    & ( op2(e22,e24) = e23 )
    & ( op2(e23,e20) = e24 )
    & ( op2(e23,e21) = e20 )
    & ( op2(e23,e22) = e21 )
    & ( op2(e23,e23) = e23 )
    & ( op2(e23,e24) = e22 )
    & ( op2(e24,e20) = e23 )
    & ( op2(e24,e21) = e22 )
    & ( op2(e24,e22) = e20 )
    & ( op2(e24,e23) = e21 )
    & ( op2(e24,e24) = e24 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

tff(f_206,axiom,
    ( ( op1(e10,e10) = e10 )
    & ( op1(e10,e11) = e13 )
    & ( op1(e10,e12) = e14 )
    & ( op1(e10,e13) = e11 )
    & ( op1(e10,e14) = e12 )
    & ( op1(e11,e10) = e14 )
    & ( op1(e11,e11) = e11 )
    & ( op1(e11,e12) = e13 )
    & ( op1(e11,e13) = e12 )
    & ( op1(e11,e14) = e10 )
    & ( op1(e12,e10) = e11 )
    & ( op1(e12,e11) = e10 )
    & ( op1(e12,e12) = e12 )
    & ( op1(e12,e13) = e14 )
    & ( op1(e12,e14) = e13 )
    & ( op1(e13,e10) = e12 )
    & ( op1(e13,e11) = e14 )
    & ( op1(e13,e12) = e10 )
    & ( op1(e13,e13) = e13 )
    & ( op1(e13,e14) = e11 )
    & ( op1(e14,e10) = e13 )
    & ( op1(e14,e11) = e12 )
    & ( op1(e14,e12) = e11 )
    & ( op1(e14,e13) = e10 )
    & ( op1(e14,e14) = e14 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

tff(f_83,axiom,
    ( ( e20 != e21 )
    & ( e20 != e22 )
    & ( e20 != e23 )
    & ( e20 != e24 )
    & ( e21 != e22 )
    & ( e21 != e23 )
    & ( e21 != e24 )
    & ( e22 != e23 )
    & ( e22 != e24 )
    & ( e23 != e24 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

tff(c_20,plain,
    e11 != e10,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_316,plain,
    ( ( j(e22) = e14 )
    | ( j(e22) = e13 )
    | ( j(e22) = e12 )
    | ( j(e22) = e11 )
    | ( j(e22) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_3631,plain,
    j(e22) = e10,
    inference(splitLeft,[status(thm)],[c_316]) ).

tff(c_16,plain,
    e13 != e10,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_160,plain,
    op2(e23,e20) = e24,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_328,plain,
    ( ( h(e11) = e24 )
    | ( h(e11) = e23 )
    | ( h(e11) = e22 )
    | ( h(e11) = e21 )
    | ( h(e11) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_597,plain,
    h(e11) = e20,
    inference(splitLeft,[status(thm)],[c_328]) ).

tff(c_314,plain,
    ( ( j(e23) = e14 )
    | ( j(e23) = e13 )
    | ( j(e23) = e12 )
    | ( j(e23) = e11 )
    | ( j(e23) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_638,plain,
    j(e23) = e10,
    inference(splitLeft,[status(thm)],[c_314]) ).

tff(c_204,plain,
    h(j(e23)) = e23,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_639,plain,
    h(e10) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_638,c_204]) ).

tff(c_138,plain,
    op1(e10,e11) = e13,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_308,plain,
    op2(h(e10),h(e11)) = h(op1(e10,e11)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_357,plain,
    op2(h(e10),h(e11)) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_308]) ).

tff(c_703,plain,
    h(e13) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_597,c_639,c_357]) ).

tff(c_194,plain,
    j(h(e13)) = e13,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_705,plain,
    j(e24) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_703,c_194]) ).

tff(c_122,plain,
    op1(e11,e14) = e10,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_198,plain,
    j(h(e11)) = e11,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_598,plain,
    j(e20) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_597,c_198]) ).

tff(c_184,plain,
    op2(e20,e23) = e22,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_130,plain,
    op1(e11,e10) = e14,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_300,plain,
    op2(h(e11),h(e10)) = h(op1(e11,e10)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_361,plain,
    op2(h(e11),h(e10)) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_300]) ).

tff(c_633,plain,
    op2(e20,h(e10)) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_597,c_361]) ).

tff(c_644,plain,
    op2(e20,e23) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_639,c_633]) ).

tff(c_646,plain,
    h(e14) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_184,c_644]) ).

tff(c_192,plain,
    j(h(e14)) = e14,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_652,plain,
    j(e22) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_646,c_192]) ).

tff(c_186,plain,
    op2(e20,e22) = e24,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_256,plain,
    op1(j(e20),j(e22)) = j(op2(e20,e22)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_333,plain,
    op1(j(e20),j(e22)) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_186,c_256]) ).

tff(c_735,plain,
    e13 = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_705,c_122,c_598,c_652,c_333]) ).

tff(c_736,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_16,c_735]) ).

tff(c_738,plain,
    j(e23) != e10,
    inference(splitRight,[status(thm)],[c_314]) ).

tff(c_182,plain,
    op2(e20,e24) = e21,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_312,plain,
    ( ( j(e24) = e14 )
    | ( j(e24) = e13 )
    | ( j(e24) = e12 )
    | ( j(e24) = e11 )
    | ( j(e24) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_805,plain,
    j(e24) = e10,
    inference(splitLeft,[status(thm)],[c_312]) ).

tff(c_202,plain,
    h(j(e24)) = e24,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_808,plain,
    h(e10) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_805,c_202]) ).

tff(c_814,plain,
    op2(e20,e24) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_808,c_633]) ).

tff(c_816,plain,
    h(e14) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_182,c_814]) ).

tff(c_824,plain,
    j(e21) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_816,c_192]) ).

tff(c_188,plain,
    op2(e20,e21) = e23,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_258,plain,
    op1(j(e20),j(e21)) = j(op2(e20,e21)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_332,plain,
    op1(j(e20),j(e21)) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_188,c_258]) ).

tff(c_754,plain,
    op1(e11,j(e21)) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_332]) ).

tff(c_832,plain,
    op1(e11,e14) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_824,c_754]) ).

tff(c_835,plain,
    j(e23) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_122,c_832]) ).

tff(c_837,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_738,c_835]) ).

tff(c_839,plain,
    j(e24) != e10,
    inference(splitRight,[status(thm)],[c_312]) ).

tff(c_992,plain,
    j(e22) = e10,
    inference(splitLeft,[status(thm)],[c_316]) ).

tff(c_888,plain,
    op1(e11,j(e22)) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_333]) ).

tff(c_997,plain,
    op1(e11,e10) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_992,c_888]) ).

tff(c_1007,plain,
    j(e24) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_997]) ).

tff(c_252,plain,
    op1(j(e20),j(e24)) = j(op2(e20,e24)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_335,plain,
    op1(j(e20),j(e24)) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_182,c_252]) ).

tff(c_965,plain,
    op1(e11,j(e24)) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_335]) ).

tff(c_1030,plain,
    op1(e11,e14) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_1007,c_965]) ).

tff(c_1038,plain,
    j(e21) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_122,c_1030]) ).

tff(c_170,plain,
    op2(e22,e20) = e21,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_240,plain,
    op1(j(e22),j(e20)) = j(op2(e22,e20)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_341,plain,
    op1(j(e22),j(e20)) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_170,c_240]) ).

tff(c_935,plain,
    op1(j(e22),e11) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_341]) ).

tff(c_994,plain,
    op1(e10,e11) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_992,c_935]) ).

tff(c_1006,plain,
    j(e21) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_994]) ).

tff(c_1078,plain,
    e13 = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_1038,c_1006]) ).

tff(c_1079,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_16,c_1078]) ).

tff(c_1081,plain,
    j(e22) != e10,
    inference(splitRight,[status(thm)],[c_316]) ).

tff(c_118,plain,
    op1(e12,e11) = e10,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_124,plain,
    op1(e11,e13) = e12,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_318,plain,
    ( ( j(e21) = e14 )
    | ( j(e21) = e13 )
    | ( j(e21) = e12 )
    | ( j(e21) = e11 )
    | ( j(e21) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_1087,plain,
    j(e21) = e10,
    inference(splitLeft,[status(thm)],[c_318]) ).

tff(c_180,plain,
    op2(e21,e20) = e22,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_250,plain,
    op1(j(e21),j(e20)) = j(op2(e21,e20)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_336,plain,
    op1(j(e21),j(e20)) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_180,c_250]) ).

tff(c_764,plain,
    op1(j(e21),e11) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_336]) ).

tff(c_1096,plain,
    op1(e10,e11) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_1087,c_764]) ).

tff(c_1101,plain,
    j(e22) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_1096]) ).

tff(c_1130,plain,
    op1(e11,e13) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_1101,c_888]) ).

tff(c_1135,plain,
    j(e24) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_124,c_1130]) ).

tff(c_150,plain,
    op2(e24,e20) = e23,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_220,plain,
    op1(j(e24),j(e20)) = j(op2(e24,e20)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_351,plain,
    op1(j(e24),j(e20)) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_150,c_220]) ).

tff(c_916,plain,
    op1(j(e24),e11) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_351]) ).

tff(c_1155,plain,
    op1(e12,e11) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_1135,c_916]) ).

tff(c_1159,plain,
    j(e23) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_118,c_1155]) ).

tff(c_1161,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_738,c_1159]) ).

tff(c_1163,plain,
    j(e21) != e10,
    inference(splitRight,[status(thm)],[c_318]) ).

tff(c_8,plain,
    e14 != e11,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_322,plain,
    ( ( h(e14) = e24 )
    | ( h(e14) = e23 )
    | ( h(e14) = e22 )
    | ( h(e14) = e21 )
    | ( h(e14) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_898,plain,
    h(e14) = e20,
    inference(splitLeft,[status(thm)],[c_322]) ).

tff(c_905,plain,
    j(e20) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_898,c_192]) ).

tff(c_907,plain,
    e14 = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_905]) ).

tff(c_909,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_907]) ).

tff(c_910,plain,
    ( ( h(e14) = e21 )
    | ( h(e14) = e22 )
    | ( h(e14) = e23 )
    | ( h(e14) = e24 ) ),
    inference(splitRight,[status(thm)],[c_322]) ).

tff(c_1201,plain,
    h(e14) = e24,
    inference(splitLeft,[status(thm)],[c_910]) ).

tff(c_1216,plain,
    j(e24) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_1201,c_192]) ).

tff(c_1226,plain,
    op1(e11,e14) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_1216,c_965]) ).

tff(c_1239,plain,
    j(e21) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_122,c_1226]) ).

tff(c_1241,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1163,c_1239]) ).

tff(c_1242,plain,
    ( ( h(e14) = e23 )
    | ( h(e14) = e22 )
    | ( h(e14) = e21 ) ),
    inference(splitRight,[status(thm)],[c_910]) ).

tff(c_1265,plain,
    h(e14) = e21,
    inference(splitLeft,[status(thm)],[c_1242]) ).

tff(c_1281,plain,
    j(e21) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_1265,c_192]) ).

tff(c_1302,plain,
    op1(e11,e14) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_1281,c_754]) ).

tff(c_1306,plain,
    j(e23) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_122,c_1302]) ).

tff(c_1308,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_738,c_1306]) ).

tff(c_1309,plain,
    ( ( h(e14) = e22 )
    | ( h(e14) = e23 ) ),
    inference(splitRight,[status(thm)],[c_1242]) ).

tff(c_1311,plain,
    h(e14) = e23,
    inference(splitLeft,[status(thm)],[c_1309]) ).

tff(c_1328,plain,
    j(e23) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_1311,c_192]) ).

tff(c_254,plain,
    op1(j(e20),j(e23)) = j(op2(e20,e23)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_334,plain,
    op1(j(e20),j(e23)) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_184,c_254]) ).

tff(c_893,plain,
    op1(e11,j(e23)) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_334]) ).

tff(c_1341,plain,
    op1(e11,e14) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_1328,c_893]) ).

tff(c_1352,plain,
    j(e22) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_122,c_1341]) ).

tff(c_1354,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1081,c_1352]) ).

tff(c_1355,plain,
    h(e14) = e22,
    inference(splitRight,[status(thm)],[c_1309]) ).

tff(c_292,plain,
    op2(h(e11),h(e14)) = h(op1(e11,e14)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_365,plain,
    op2(h(e11),h(e14)) = h(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_122,c_292]) ).

tff(c_926,plain,
    op2(e20,h(e14)) = h(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_597,c_365]) ).

tff(c_1388,plain,
    op2(e20,e22) = h(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_1355,c_926]) ).

tff(c_1399,plain,
    h(e10) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_186,c_1388]) ).

tff(c_200,plain,
    j(h(e10)) = e10,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_1425,plain,
    j(e24) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_1399,c_200]) ).

tff(c_1429,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_839,c_1425]) ).

tff(c_1431,plain,
    h(e11) != e20,
    inference(splitRight,[status(thm)],[c_328]) ).

tff(c_164,plain,
    op2(e22,e23) = e20,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_100,plain,
    op1(e14,e10) = e13,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_136,plain,
    op1(e10,e12) = e14,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_326,plain,
    ( ( h(e12) = e24 )
    | ( h(e12) = e23 )
    | ( h(e12) = e22 )
    | ( h(e12) = e21 )
    | ( h(e12) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_3679,plain,
    h(e12) = e20,
    inference(splitLeft,[status(thm)],[c_326]) ).

tff(c_196,plain,
    j(h(e12)) = e12,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_3684,plain,
    j(e20) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_3679,c_196]) ).

tff(c_3632,plain,
    op1(e10,j(e20)) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_3631,c_341]) ).

tff(c_3690,plain,
    op1(e10,e12) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_3684,c_3632]) ).

tff(c_3694,plain,
    j(e21) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_136,c_3690]) ).

tff(c_176,plain,
    op2(e21,e22) = e23,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_246,plain,
    op1(j(e21),j(e22)) = j(op2(e21,e22)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_338,plain,
    op1(j(e21),j(e22)) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_176,c_246]) ).

tff(c_3670,plain,
    op1(j(e21),e10) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_3631,c_338]) ).

tff(c_3700,plain,
    op1(e14,e10) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_3694,c_3670]) ).

tff(c_3704,plain,
    j(e23) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_100,c_3700]) ).

tff(c_3711,plain,
    h(e13) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_3704,c_204]) ).

tff(c_206,plain,
    h(j(e22)) = e22,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_3635,plain,
    h(e10) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_3631,c_206]) ).

tff(c_134,plain,
    op1(e10,e13) = e11,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_304,plain,
    op2(h(e10),h(e13)) = h(op1(e10,e13)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_359,plain,
    op2(h(e10),h(e13)) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_134,c_304]) ).

tff(c_3641,plain,
    op2(e22,h(e13)) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_3635,c_359]) ).

tff(c_3725,plain,
    op2(e22,e23) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_3711,c_3641]) ).

tff(c_3728,plain,
    h(e11) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_3725]) ).

tff(c_3730,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1431,c_3728]) ).

tff(c_3732,plain,
    h(e12) != e20,
    inference(splitRight,[status(thm)],[c_326]) ).

tff(c_324,plain,
    ( ( h(e13) = e24 )
    | ( h(e13) = e23 )
    | ( h(e13) = e22 )
    | ( h(e13) = e21 )
    | ( h(e13) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_3897,plain,
    h(e13) = e20,
    inference(splitLeft,[status(thm)],[c_324]) ).

tff(c_3903,plain,
    op2(e22,e20) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_3897,c_3641]) ).

tff(c_3908,plain,
    h(e11) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_170,c_3903]) ).

tff(c_3827,plain,
    op2(h(e11),e22) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_3635,c_361]) ).

tff(c_3931,plain,
    op2(e21,e22) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_3908,c_3827]) ).

tff(c_3936,plain,
    h(e14) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_176,c_3931]) ).

tff(c_132,plain,
    op1(e10,e14) = e12,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_302,plain,
    op2(h(e10),h(e14)) = h(op1(e10,e14)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_360,plain,
    op2(h(e10),h(e14)) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_132,c_302]) ).

tff(c_3643,plain,
    op2(e22,h(e14)) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_3635,c_360]) ).

tff(c_3966,plain,
    op2(e22,e23) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_3936,c_3643]) ).

tff(c_3968,plain,
    h(e12) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_3966]) ).

tff(c_3970,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3732,c_3968]) ).

tff(c_3972,plain,
    h(e13) != e20,
    inference(splitRight,[status(thm)],[c_324]) ).

tff(c_2,plain,
    e14 != e13,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_158,plain,
    op2(e23,e21) = e20,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_144,plain,
    op2(e24,e23) = e21,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_2299,plain,
    h(e14) = e20,
    inference(splitLeft,[status(thm)],[c_322]) ).

tff(c_2215,plain,
    j(e23) = e10,
    inference(splitLeft,[status(thm)],[c_314]) ).

tff(c_2217,plain,
    h(e10) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_2215,c_204]) ).

tff(c_2222,plain,
    op2(e23,h(e14)) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_2217,c_360]) ).

tff(c_2301,plain,
    op2(e23,e20) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_2299,c_2222]) ).

tff(c_2303,plain,
    h(e12) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_2301]) ).

tff(c_120,plain,
    op1(e12,e10) = e11,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_290,plain,
    op2(h(e12),h(e10)) = h(op1(e12,e10)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_366,plain,
    op2(h(e12),h(e10)) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_290]) ).

tff(c_2246,plain,
    op2(h(e12),e23) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_2217,c_366]) ).

tff(c_2319,plain,
    op2(e24,e23) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_2303,c_2246]) ).

tff(c_2323,plain,
    h(e11) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_144,c_2319]) ).

tff(c_2251,plain,
    op2(e23,h(e11)) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_2217,c_357]) ).

tff(c_2328,plain,
    op2(e23,e21) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_2323,c_2251]) ).

tff(c_2331,plain,
    h(e13) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_2328]) ).

tff(c_2346,plain,
    j(e20) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_2331,c_194]) ).

tff(c_2302,plain,
    j(e20) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_2299,c_192]) ).

tff(c_2358,plain,
    e14 = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_2346,c_2302]) ).

tff(c_2360,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2,c_2358]) ).

tff(c_2362,plain,
    h(e14) != e20,
    inference(splitRight,[status(thm)],[c_322]) ).

tff(c_2444,plain,
    h(e13) = e20,
    inference(splitLeft,[status(thm)],[c_324]) ).

tff(c_110,plain,
    op1(e13,e10) = e12,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_280,plain,
    op2(h(e13),h(e10)) = h(op1(e13,e10)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_371,plain,
    op2(h(e13),h(e10)) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_280]) ).

tff(c_2237,plain,
    op2(h(e13),e23) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_2217,c_371]) ).

tff(c_2453,plain,
    op2(e20,e23) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_2444,c_2237]) ).

tff(c_2456,plain,
    h(e12) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_184,c_2453]) ).

tff(c_2476,plain,
    op2(e22,e23) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_2456,c_2246]) ).

tff(c_2480,plain,
    h(e11) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_2476]) ).

tff(c_2482,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1431,c_2480]) ).

tff(c_2484,plain,
    h(e13) != e20,
    inference(splitRight,[status(thm)],[c_324]) ).

tff(c_2555,plain,
    h(e12) = e20,
    inference(splitLeft,[status(thm)],[c_326]) ).

tff(c_306,plain,
    op2(h(e10),h(e12)) = h(op1(e10,e12)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_358,plain,
    op2(h(e10),h(e12)) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_136,c_306]) ).

tff(c_2426,plain,
    op2(e23,h(e12)) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_2217,c_358]) ).

tff(c_2559,plain,
    op2(e23,e20) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_2555,c_2426]) ).

tff(c_2568,plain,
    h(e14) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_2559]) ).

tff(c_270,plain,
    op2(h(e14),h(e10)) = h(op1(e14,e10)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_376,plain,
    op2(h(e14),h(e10)) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_100,c_270]) ).

tff(c_2388,plain,
    op2(h(e14),e23) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_2217,c_376]) ).

tff(c_2598,plain,
    op2(e24,e23) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_2568,c_2388]) ).

tff(c_2603,plain,
    h(e13) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_144,c_2598]) ).

tff(c_2530,plain,
    op2(e23,h(e13)) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_2217,c_359]) ).

tff(c_2619,plain,
    op2(e23,e21) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_2603,c_2530]) ).

tff(c_2624,plain,
    h(e11) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_2619]) ).

tff(c_2626,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1431,c_2624]) ).

tff(c_2628,plain,
    h(e12) != e20,
    inference(splitRight,[status(thm)],[c_326]) ).

tff(c_38,plain,
    e22 != e20,
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_1476,plain,
    h(e12) = e20,
    inference(splitLeft,[status(thm)],[c_326]) ).

tff(c_174,plain,
    op2(e21,e23) = e24,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_1436,plain,
    j(e21) = e10,
    inference(splitLeft,[status(thm)],[c_318]) ).

tff(c_208,plain,
    h(j(e21)) = e21,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_1437,plain,
    h(e10) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_1436,c_208]) ).

tff(c_1500,plain,
    h(e11) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_188,c_1476,c_1437,c_366]) ).

tff(c_1547,plain,
    h(e13) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_174,c_1437,c_1500,c_357]) ).

tff(c_1551,plain,
    j(e24) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_1547,c_194]) ).

tff(c_1503,plain,
    j(e23) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_1500,c_198]) ).

tff(c_152,plain,
    op2(e23,e24) = e22,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_222,plain,
    op1(j(e23),j(e24)) = j(op2(e23,e24)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_350,plain,
    op1(j(e23),j(e24)) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_152,c_222]) ).

tff(c_1536,plain,
    op1(e11,j(e24)) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_1503,c_350]) ).

tff(c_1556,plain,
    op1(e11,e13) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_1551,c_1536]) ).

tff(c_1560,plain,
    j(e22) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_124,c_1556]) ).

tff(c_1574,plain,
    h(e12) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_1560,c_206]) ).

tff(c_1576,plain,
    e22 = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_1476,c_1574]) ).

tff(c_1578,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_38,c_1576]) ).

tff(c_1580,plain,
    h(e12) != e20,
    inference(splitRight,[status(thm)],[c_326]) ).

tff(c_146,plain,
    op2(e24,e22) = e20,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_96,plain,
    op1(e14,e12) = e11,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_1602,plain,
    h(e14) = e20,
    inference(splitLeft,[status(thm)],[c_322]) ).

tff(c_1636,plain,
    h(e12) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_180,c_1602,c_1437,c_360]) ).

tff(c_1640,plain,
    j(e22) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_1636,c_196]) ).

tff(c_1603,plain,
    j(e20) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_1602,c_192]) ).

tff(c_1626,plain,
    op1(e14,j(e22)) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_1603,c_333]) ).

tff(c_1645,plain,
    op1(e14,e12) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_1640,c_1626]) ).

tff(c_1649,plain,
    j(e24) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_96,c_1645]) ).

tff(c_1656,plain,
    h(e11) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_1649,c_202]) ).

tff(c_126,plain,
    op1(e11,e12) = e13,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_296,plain,
    op2(h(e11),h(e12)) = h(op1(e11,e12)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_363,plain,
    op2(h(e11),h(e12)) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_126,c_296]) ).

tff(c_1637,plain,
    op2(h(e11),e22) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_1636,c_363]) ).

tff(c_1690,plain,
    h(e13) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_1656,c_1637]) ).

tff(c_1692,plain,
    j(e20) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_1690,c_194]) ).

tff(c_1697,plain,
    e14 = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_1692,c_1603]) ).

tff(c_1699,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2,c_1697]) ).

tff(c_1701,plain,
    h(e14) != e20,
    inference(splitRight,[status(thm)],[c_322]) ).

tff(c_30,plain,
    e23 != e21,
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_168,plain,
    op2(e22,e21) = e24,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_1877,plain,
    h(e13) = e20,
    inference(splitLeft,[status(thm)],[c_324]) ).

tff(c_1868,plain,
    op2(e21,h(e13)) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_1437,c_359]) ).

tff(c_1879,plain,
    op2(e21,e20) = h(e11),
    inference(demodulation,[status(thm),theory(equality)],[c_1877,c_1868]) ).

tff(c_1890,plain,
    h(e11) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_180,c_1879]) ).

tff(c_1801,plain,
    op2(h(e11),e21) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_1437,c_361]) ).

tff(c_1914,plain,
    op2(e22,e21) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_1890,c_1801]) ).

tff(c_1919,plain,
    h(e14) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_168,c_1914]) ).

tff(c_94,plain,
    op1(e14,e13) = e10,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_264,plain,
    op2(h(e14),h(e13)) = h(op1(e14,e13)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_379,plain,
    op2(h(e14),h(e13)) = h(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_94,c_264]) ).

tff(c_1844,plain,
    op2(h(e14),h(e13)) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_1437,c_379]) ).

tff(c_1883,plain,
    op2(h(e14),e20) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_1877,c_1844]) ).

tff(c_1976,plain,
    e23 = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_150,c_1919,c_1883]) ).

tff(c_1977,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_30,c_1976]) ).

tff(c_1979,plain,
    h(e13) != e20,
    inference(splitRight,[status(thm)],[c_324]) ).

tff(c_172,plain,
    op2(e21,e24) = e20,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_1430,plain,
    ( ( h(e11) = e21 )
    | ( h(e11) = e22 )
    | ( h(e11) = e23 )
    | ( h(e11) = e24 ) ),
    inference(splitRight,[status(thm)],[c_328]) ).

tff(c_2053,plain,
    h(e11) = e24,
    inference(splitLeft,[status(thm)],[c_1430]) ).

tff(c_1849,plain,
    op2(e21,h(e11)) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_1437,c_357]) ).

tff(c_2060,plain,
    op2(e21,e24) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_2053,c_1849]) ).

tff(c_2070,plain,
    h(e13) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_172,c_2060]) ).

tff(c_2072,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1979,c_2070]) ).

tff(c_2073,plain,
    ( ( h(e11) = e23 )
    | ( h(e11) = e22 )
    | ( h(e11) = e21 ) ),
    inference(splitRight,[status(thm)],[c_1430]) ).

tff(c_2075,plain,
    h(e11) = e21,
    inference(splitLeft,[status(thm)],[c_2073]) ).

tff(c_2091,plain,
    j(e21) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_2075,c_198]) ).

tff(c_2096,plain,
    e11 = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_1436,c_2091]) ).

tff(c_2098,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_20,c_2096]) ).

tff(c_2099,plain,
    ( ( h(e11) = e22 )
    | ( h(e11) = e23 ) ),
    inference(splitRight,[status(thm)],[c_2073]) ).

tff(c_2101,plain,
    h(e11) = e23,
    inference(splitLeft,[status(thm)],[c_2099]) ).

tff(c_2112,plain,
    op2(e23,e21) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_2101,c_1801]) ).

tff(c_2121,plain,
    h(e14) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_2112]) ).

tff(c_2123,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1701,c_2121]) ).

tff(c_2124,plain,
    h(e11) = e22,
    inference(splitRight,[status(thm)],[c_2099]) ).

tff(c_2134,plain,
    op2(e21,e22) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_2124,c_1849]) ).

tff(c_2144,plain,
    h(e13) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_176,c_2134]) ).

tff(c_1999,plain,
    op2(h(e13),e21) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_1437,c_371]) ).

tff(c_2174,plain,
    op2(e23,e21) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_2144,c_1999]) ).

tff(c_2182,plain,
    h(e12) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_2174]) ).

tff(c_2184,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1580,c_2182]) ).

tff(c_2185,plain,
    ( ( j(e21) = e11 )
    | ( j(e21) = e12 )
    | ( j(e21) = e13 )
    | ( j(e21) = e14 ) ),
    inference(splitRight,[status(thm)],[c_318]) ).

tff(c_2671,plain,
    j(e21) = e14,
    inference(splitLeft,[status(thm)],[c_2185]) ).

tff(c_2686,plain,
    h(e14) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_2671,c_208]) ).

tff(c_2707,plain,
    op2(e23,e21) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_2686,c_2222]) ).

tff(c_2711,plain,
    h(e12) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_2707]) ).

tff(c_2713,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2628,c_2711]) ).

tff(c_2715,plain,
    j(e21) != e14,
    inference(splitRight,[status(thm)],[c_2185]) ).

tff(c_2716,plain,
    h(e11) = e24,
    inference(splitLeft,[status(thm)],[c_1430]) ).

tff(c_2731,plain,
    j(e24) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_2716,c_198]) ).

tff(c_214,plain,
    op1(j(e24),j(e23)) = j(op2(e24,e23)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_354,plain,
    op1(j(e24),j(e23)) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_144,c_214]) ).

tff(c_2393,plain,
    op1(j(e24),e10) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_2215,c_354]) ).

tff(c_2746,plain,
    op1(e11,e10) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_2731,c_2393]) ).

tff(c_2754,plain,
    j(e21) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_2746]) ).

tff(c_2756,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2715,c_2754]) ).

tff(c_2757,plain,
    ( ( h(e11) = e23 )
    | ( h(e11) = e22 )
    | ( h(e11) = e21 ) ),
    inference(splitRight,[status(thm)],[c_1430]) ).

tff(c_2759,plain,
    h(e11) = e21,
    inference(splitLeft,[status(thm)],[c_2757]) ).

tff(c_2771,plain,
    op2(e23,e21) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_2759,c_2251]) ).

tff(c_2778,plain,
    h(e13) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_2771]) ).

tff(c_2780,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2484,c_2778]) ).

tff(c_2781,plain,
    ( ( h(e11) = e22 )
    | ( h(e11) = e23 ) ),
    inference(splitRight,[status(thm)],[c_2757]) ).

tff(c_2783,plain,
    h(e11) = e23,
    inference(splitLeft,[status(thm)],[c_2781]) ).

tff(c_2801,plain,
    j(e23) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_2783,c_198]) ).

tff(c_2806,plain,
    e11 = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_2215,c_2801]) ).

tff(c_2808,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_20,c_2806]) ).

tff(c_2809,plain,
    h(e11) = e22,
    inference(splitRight,[status(thm)],[c_2781]) ).

tff(c_2485,plain,
    op2(h(e11),e23) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_2217,c_361]) ).

tff(c_2817,plain,
    op2(e22,e23) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_2809,c_2485]) ).

tff(c_2829,plain,
    h(e14) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_2817]) ).

tff(c_2831,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2362,c_2829]) ).

tff(c_2832,plain,
    ( ( j(e23) = e11 )
    | ( j(e23) = e12 )
    | ( j(e23) = e13 )
    | ( j(e23) = e14 ) ),
    inference(splitRight,[status(thm)],[c_314]) ).

tff(c_4072,plain,
    j(e23) = e14,
    inference(splitLeft,[status(thm)],[c_2832]) ).

tff(c_4110,plain,
    h(e14) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_4072,c_204]) ).

tff(c_4141,plain,
    op2(e22,e23) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_4110,c_3643]) ).

tff(c_4145,plain,
    h(e12) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_4141]) ).

tff(c_4147,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3732,c_4145]) ).

tff(c_4149,plain,
    j(e23) != e14,
    inference(splitRight,[status(thm)],[c_2832]) ).

tff(c_3741,plain,
    h(e14) = e20,
    inference(splitLeft,[status(thm)],[c_322]) ).

tff(c_3745,plain,
    j(e20) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_3741,c_192]) ).

tff(c_3752,plain,
    op1(e10,e14) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_3745,c_3632]) ).

tff(c_3756,plain,
    j(e21) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_132,c_3752]) ).

tff(c_3771,plain,
    op1(e12,e10) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_3756,c_3670]) ).

tff(c_3775,plain,
    j(e23) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_3771]) ).

tff(c_3784,plain,
    h(e11) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_3775,c_204]) ).

tff(c_3642,plain,
    op2(e22,h(e11)) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_3635,c_357]) ).

tff(c_3790,plain,
    op2(e22,e23) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_3784,c_3642]) ).

tff(c_3794,plain,
    h(e13) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_3790]) ).

tff(c_3801,plain,
    j(e20) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_3794,c_194]) ).

tff(c_3807,plain,
    e14 = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_3801,c_3745]) ).

tff(c_3809,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2,c_3807]) ).

tff(c_3811,plain,
    h(e14) != e20,
    inference(splitRight,[status(thm)],[c_322]) ).

tff(c_4049,plain,
    h(e11) = e24,
    inference(splitLeft,[status(thm)],[c_1430]) ).

tff(c_4055,plain,
    op2(e24,e22) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_4049,c_3827]) ).

tff(c_4066,plain,
    h(e14) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_4055]) ).

tff(c_4068,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3811,c_4066]) ).

tff(c_4069,plain,
    ( ( h(e11) = e23 )
    | ( h(e11) = e22 )
    | ( h(e11) = e21 ) ),
    inference(splitRight,[status(thm)],[c_1430]) ).

tff(c_4071,plain,
    h(e11) = e21,
    inference(splitLeft,[status(thm)],[c_4069]) ).

tff(c_4165,plain,
    j(e21) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_4071,c_198]) ).

tff(c_4182,plain,
    op1(e11,e10) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_4165,c_3670]) ).

tff(c_4190,plain,
    j(e23) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_130,c_4182]) ).

tff(c_4192,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4149,c_4190]) ).

tff(c_4193,plain,
    ( ( h(e11) = e22 )
    | ( h(e11) = e23 ) ),
    inference(splitRight,[status(thm)],[c_4069]) ).

tff(c_4195,plain,
    h(e11) = e23,
    inference(splitLeft,[status(thm)],[c_4193]) ).

tff(c_4207,plain,
    op2(e22,e23) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_4195,c_3642]) ).

tff(c_4216,plain,
    h(e13) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_4207]) ).

tff(c_4218,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3972,c_4216]) ).

tff(c_4219,plain,
    h(e11) = e22,
    inference(splitRight,[status(thm)],[c_4193]) ).

tff(c_4237,plain,
    j(e22) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_4219,c_198]) ).

tff(c_4242,plain,
    e11 = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_3631,c_4237]) ).

tff(c_4244,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_20,c_4242]) ).

tff(c_4246,plain,
    j(e22) != e10,
    inference(splitRight,[status(thm)],[c_316]) ).

tff(c_2833,plain,
    j(e23) != e10,
    inference(splitRight,[status(thm)],[c_314]) ).

tff(c_2186,plain,
    j(e21) != e10,
    inference(splitRight,[status(thm)],[c_318]) ).

tff(c_106,plain,
    op1(e13,e12) = e10,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_40,plain,
    e21 != e20,
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_4897,plain,
    h(e13) = e20,
    inference(splitLeft,[status(thm)],[c_324]) ).

tff(c_22,plain,
    e24 != e23,
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_4955,plain,
    j(e24) = e10,
    inference(splitLeft,[status(thm)],[c_312]) ).

tff(c_4907,plain,
    j(e20) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_4897,c_194]) ).

tff(c_4915,plain,
    op1(e13,j(e24)) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_4907,c_335]) ).

tff(c_4956,plain,
    op1(e13,e10) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_4955,c_4915]) ).

tff(c_4965,plain,
    j(e21) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_4956]) ).

tff(c_4990,plain,
    h(e12) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_4965,c_208]) ).

tff(c_4964,plain,
    h(e10) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_4955,c_202]) ).

tff(c_276,plain,
    op2(h(e13),h(e12)) = h(op1(e13,e12)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_373,plain,
    op2(h(e13),h(e12)) = h(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_106,c_276]) ).

tff(c_4898,plain,
    op2(e20,h(e12)) = h(e10),
    inference(demodulation,[status(thm),theory(equality)],[c_4897,c_373]) ).

tff(c_4972,plain,
    op2(e20,h(e12)) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_4964,c_4898]) ).

tff(c_5011,plain,
    e24 = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_188,c_4990,c_4972]) ).

tff(c_5012,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_22,c_5011]) ).

tff(c_5014,plain,
    j(e24) != e10,
    inference(splitRight,[status(thm)],[c_312]) ).

tff(c_108,plain,
    op1(e13,e11) = e14,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_5131,plain,
    j(e21) = e14,
    inference(splitLeft,[status(thm)],[c_2185]) ).

tff(c_5121,plain,
    op1(j(e21),e13) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_4907,c_336]) ).

tff(c_5132,plain,
    op1(e14,e13) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_5131,c_5121]) ).

tff(c_5147,plain,
    j(e22) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_94,c_5132]) ).

tff(c_5149,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4246,c_5147]) ).

tff(c_5150,plain,
    ( ( j(e21) = e13 )
    | ( j(e21) = e12 )
    | ( j(e21) = e11 ) ),
    inference(splitRight,[status(thm)],[c_2185]) ).

tff(c_5152,plain,
    j(e21) = e11,
    inference(splitLeft,[status(thm)],[c_5150]) ).

tff(c_4913,plain,
    op1(e13,j(e21)) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_4907,c_332]) ).

tff(c_5158,plain,
    op1(e13,e11) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_5152,c_4913]) ).

tff(c_5171,plain,
    j(e23) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_108,c_5158]) ).

tff(c_230,plain,
    op1(j(e23),j(e20)) = j(op2(e23,e20)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_346,plain,
    op1(j(e23),j(e20)) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_230]) ).

tff(c_5079,plain,
    op1(j(e23),e13) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_4907,c_346]) ).

tff(c_5201,plain,
    op1(e14,e13) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_5171,c_5079]) ).

tff(c_5208,plain,
    j(e24) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_94,c_5201]) ).

tff(c_5210,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5014,c_5208]) ).

tff(c_5211,plain,
    ( ( j(e21) = e12 )
    | ( j(e21) = e13 ) ),
    inference(splitRight,[status(thm)],[c_5150]) ).

tff(c_5213,plain,
    j(e21) = e13,
    inference(splitLeft,[status(thm)],[c_5211]) ).

tff(c_5230,plain,
    h(e13) = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_5213,c_208]) ).

tff(c_5235,plain,
    e21 = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_4897,c_5230]) ).

tff(c_5237,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_40,c_5235]) ).

tff(c_5238,plain,
    j(e21) = e12,
    inference(splitRight,[status(thm)],[c_5211]) ).

tff(c_5246,plain,
    op1(e13,e12) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_5238,c_4913]) ).

tff(c_5259,plain,
    j(e23) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_106,c_5246]) ).

tff(c_5261,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2833,c_5259]) ).

tff(c_5263,plain,
    h(e13) != e20,
    inference(splitRight,[status(thm)],[c_324]) ).

tff(c_12,plain,
    e12 != e11,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_4271,plain,
    h(e12) = e20,
    inference(splitLeft,[status(thm)],[c_326]) ).

tff(c_4276,plain,
    j(e20) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_4271,c_196]) ).

tff(c_4405,plain,
    j(e24) = e10,
    inference(splitLeft,[status(thm)],[c_312]) ).

tff(c_4513,plain,
    j(e23) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_136,c_4276,c_4405,c_351]) ).

tff(c_4406,plain,
    op1(e10,j(e23)) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_4405,c_354]) ).

tff(c_4514,plain,
    op1(e10,e14) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_4513,c_4406]) ).

tff(c_4526,plain,
    j(e21) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_132,c_4514]) ).

tff(c_242,plain,
    op1(j(e21),j(e24)) = j(op2(e21,e24)),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_340,plain,
    op1(j(e21),j(e24)) = j(e20),
    inference(demodulation,[status(thm),theory(equality)],[c_172,c_242]) ).

tff(c_4352,plain,
    op1(j(e21),j(e24)) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_4276,c_340]) ).

tff(c_4409,plain,
    op1(j(e21),e10) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_4405,c_4352]) ).

tff(c_4536,plain,
    op1(e12,e10) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_4526,c_4409]) ).

tff(c_4541,plain,
    e12 = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_4536]) ).

tff(c_4543,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_12,c_4541]) ).

tff(c_4545,plain,
    j(e24) != e10,
    inference(splitRight,[status(thm)],[c_312]) ).

tff(c_4645,plain,
    h(e11) = e24,
    inference(splitLeft,[status(thm)],[c_1430]) ).

tff(c_4660,plain,
    j(e24) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_4645,c_198]) ).

tff(c_4580,plain,
    op1(e12,j(e24)) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_4276,c_335]) ).

tff(c_4669,plain,
    op1(e12,e11) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_4660,c_4580]) ).

tff(c_4683,plain,
    j(e21) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_118,c_4669]) ).

tff(c_4685,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2186,c_4683]) ).

tff(c_4686,plain,
    ( ( h(e11) = e23 )
    | ( h(e11) = e22 )
    | ( h(e11) = e21 ) ),
    inference(splitRight,[status(thm)],[c_1430]) ).

tff(c_4688,plain,
    h(e11) = e21,
    inference(splitLeft,[status(thm)],[c_4686]) ).

tff(c_4704,plain,
    j(e21) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_4688,c_198]) ).

tff(c_4382,plain,
    op1(e12,j(e21)) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_4276,c_332]) ).

tff(c_4717,plain,
    op1(e12,e11) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_4704,c_4382]) ).

tff(c_4729,plain,
    j(e23) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_118,c_4717]) ).

tff(c_4731,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2833,c_4729]) ).

tff(c_4732,plain,
    ( ( h(e11) = e22 )
    | ( h(e11) = e23 ) ),
    inference(splitRight,[status(thm)],[c_4686]) ).

tff(c_4734,plain,
    h(e11) = e23,
    inference(splitLeft,[status(thm)],[c_4732]) ).

tff(c_4751,plain,
    j(e23) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_4734,c_198]) ).

tff(c_4347,plain,
    op1(e12,j(e23)) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_4276,c_334]) ).

tff(c_4765,plain,
    op1(e12,e11) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_4751,c_4347]) ).

tff(c_4775,plain,
    j(e22) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_118,c_4765]) ).

tff(c_4777,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4246,c_4775]) ).

tff(c_4778,plain,
    h(e11) = e22,
    inference(splitRight,[status(thm)],[c_4732]) ).

tff(c_4796,plain,
    j(e22) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_4778,c_198]) ).

tff(c_4391,plain,
    op1(e12,j(e22)) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_4276,c_333]) ).

tff(c_4807,plain,
    op1(e12,e11) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_4796,c_4391]) ).

tff(c_4819,plain,
    j(e24) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_118,c_4807]) ).

tff(c_4821,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4545,c_4819]) ).

tff(c_4823,plain,
    h(e12) != e20,
    inference(splitRight,[status(thm)],[c_326]) ).

tff(c_5337,plain,
    j(e24) = e10,
    inference(splitLeft,[status(thm)],[c_312]) ).

tff(c_5276,plain,
    h(e14) = e20,
    inference(splitLeft,[status(thm)],[c_322]) ).

tff(c_5286,plain,
    j(e20) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_5276,c_192]) ).

tff(c_5296,plain,
    op1(e14,j(e24)) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_5286,c_335]) ).

tff(c_5339,plain,
    op1(e14,e10) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_5337,c_5296]) ).

tff(c_5348,plain,
    j(e21) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_100,c_5339]) ).

tff(c_5294,plain,
    op1(e14,j(e21)) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_5286,c_332]) ).

tff(c_5372,plain,
    op1(e14,e13) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_5348,c_5294]) ).

tff(c_5376,plain,
    j(e23) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_94,c_5372]) ).

tff(c_5378,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2833,c_5376]) ).

tff(c_5380,plain,
    j(e24) != e10,
    inference(splitRight,[status(thm)],[c_312]) ).

tff(c_4245,plain,
    ( ( j(e22) = e11 )
    | ( j(e22) = e12 )
    | ( j(e22) = e13 )
    | ( j(e22) = e14 ) ),
    inference(splitRight,[status(thm)],[c_316]) ).

tff(c_5477,plain,
    j(e22) = e14,
    inference(splitLeft,[status(thm)],[c_4245]) ).

tff(c_5492,plain,
    h(e14) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_5477,c_206]) ).

tff(c_5498,plain,
    e22 = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_5276,c_5492]) ).

tff(c_5500,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_38,c_5498]) ).

tff(c_5501,plain,
    ( ( j(e22) = e13 )
    | ( j(e22) = e12 )
    | ( j(e22) = e11 ) ),
    inference(splitRight,[status(thm)],[c_4245]) ).

tff(c_5525,plain,
    j(e22) = e11,
    inference(splitLeft,[status(thm)],[c_5501]) ).

tff(c_5298,plain,
    op1(j(e22),e14) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_5286,c_341]) ).

tff(c_5534,plain,
    op1(e11,e14) = j(e21),
    inference(demodulation,[status(thm),theory(equality)],[c_5525,c_5298]) ).

tff(c_5543,plain,
    j(e21) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_122,c_5534]) ).

tff(c_5545,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2186,c_5543]) ).

tff(c_5546,plain,
    ( ( j(e22) = e12 )
    | ( j(e22) = e13 ) ),
    inference(splitRight,[status(thm)],[c_5501]) ).

tff(c_5548,plain,
    j(e22) = e13,
    inference(splitLeft,[status(thm)],[c_5546]) ).

tff(c_5453,plain,
    op1(e14,j(e22)) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_5286,c_333]) ).

tff(c_5552,plain,
    op1(e14,e13) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_5548,c_5453]) ).

tff(c_5566,plain,
    j(e24) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_94,c_5552]) ).

tff(c_5568,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5380,c_5566]) ).

tff(c_5569,plain,
    j(e22) = e12,
    inference(splitRight,[status(thm)],[c_5546]) ).

tff(c_5574,plain,
    op1(e14,e12) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_5569,c_5453]) ).

tff(c_5588,plain,
    j(e24) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_96,c_5574]) ).

tff(c_5401,plain,
    op1(j(e24),e14) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_5286,c_351]) ).

tff(c_5620,plain,
    op1(e11,e14) = j(e23),
    inference(demodulation,[status(thm),theory(equality)],[c_5588,c_5401]) ).

tff(c_5628,plain,
    j(e23) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_122,c_5620]) ).

tff(c_5630,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2833,c_5628]) ).

tff(c_5632,plain,
    h(e14) != e20,
    inference(splitRight,[status(thm)],[c_322]) ).

tff(c_5661,plain,
    j(e24) = e10,
    inference(splitLeft,[status(thm)],[c_312]) ).

tff(c_5810,plain,
    h(e11) = e24,
    inference(splitLeft,[status(thm)],[c_1430]) ).

tff(c_5825,plain,
    j(e24) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_5810,c_198]) ).

tff(c_5830,plain,
    e11 = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_5661,c_5825]) ).

tff(c_5832,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_20,c_5830]) ).

tff(c_5833,plain,
    ( ( h(e11) = e23 )
    | ( h(e11) = e22 )
    | ( h(e11) = e21 ) ),
    inference(splitRight,[status(thm)],[c_1430]) ).

tff(c_5835,plain,
    h(e11) = e21,
    inference(splitLeft,[status(thm)],[c_5833]) ).

tff(c_5674,plain,
    h(e10) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_5661,c_202]) ).

tff(c_5682,plain,
    op2(h(e11),e24) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_5674,c_361]) ).

tff(c_5838,plain,
    op2(e21,e24) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_5835,c_5682]) ).

tff(c_5853,plain,
    h(e14) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_172,c_5838]) ).

tff(c_5855,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5632,c_5853]) ).

tff(c_5856,plain,
    ( ( h(e11) = e22 )
    | ( h(e11) = e23 ) ),
    inference(splitRight,[status(thm)],[c_5833]) ).

tff(c_5858,plain,
    h(e11) = e23,
    inference(splitLeft,[status(thm)],[c_5856]) ).

tff(c_5862,plain,
    op2(e23,e24) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_5858,c_5682]) ).

tff(c_5877,plain,
    h(e14) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_152,c_5862]) ).

tff(c_5691,plain,
    op2(e24,h(e14)) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_5674,c_360]) ).

tff(c_5908,plain,
    op2(e24,e22) = h(e12),
    inference(demodulation,[status(thm),theory(equality)],[c_5877,c_5691]) ).

tff(c_5916,plain,
    h(e12) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_5908]) ).

tff(c_5918,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4823,c_5916]) ).

tff(c_5919,plain,
    h(e11) = e22,
    inference(splitRight,[status(thm)],[c_5856]) ).

tff(c_5690,plain,
    op2(e24,h(e11)) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_5674,c_357]) ).

tff(c_5930,plain,
    op2(e24,e22) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_5919,c_5690]) ).

tff(c_5941,plain,
    h(e13) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_146,c_5930]) ).

tff(c_5943,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5263,c_5941]) ).

tff(c_5945,plain,
    j(e24) != e10,
    inference(splitRight,[status(thm)],[c_312]) ).

tff(c_4,plain,
    e14 != e12,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_6,plain,
    e13 != e12,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_26,plain,
    e23 != e22,
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_3143,plain,
    j(e23) = e14,
    inference(splitLeft,[status(thm)],[c_2832]) ).

tff(c_320,plain,
    ( ( j(e20) = e14 )
    | ( j(e20) = e13 )
    | ( j(e20) = e12 )
    | ( j(e20) = e11 )
    | ( j(e20) = e10 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_2858,plain,
    j(e20) = e10,
    inference(splitLeft,[status(thm)],[c_320]) ).

tff(c_3124,plain,
    op1(j(e23),e10) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_2858,c_346]) ).

tff(c_3145,plain,
    op1(e14,e10) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_3143,c_3124]) ).

tff(c_3160,plain,
    j(e24) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_100,c_3145]) ).

tff(c_3138,plain,
    op1(e10,j(e23)) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_2858,c_334]) ).

tff(c_3144,plain,
    op1(e10,e14) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_3143,c_3138]) ).

tff(c_3159,plain,
    j(e22) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_132,c_3144]) ).

tff(c_2890,plain,
    op1(e10,j(e22)) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_2858,c_333]) ).

tff(c_3195,plain,
    op1(e10,e12) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_3159,c_2890]) ).

tff(c_3199,plain,
    j(e24) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_136,c_3195]) ).

tff(c_3255,plain,
    e14 = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_3160,c_3199]) ).

tff(c_3256,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2,c_3255]) ).

tff(c_3257,plain,
    ( ( j(e23) = e13 )
    | ( j(e23) = e12 )
    | ( j(e23) = e11 ) ),
    inference(splitRight,[status(thm)],[c_2832]) ).

tff(c_3259,plain,
    j(e23) = e11,
    inference(splitLeft,[status(thm)],[c_3257]) ).

tff(c_3261,plain,
    op1(e10,e11) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_3259,c_3138]) ).

tff(c_3276,plain,
    j(e22) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_3261]) ).

tff(c_3325,plain,
    h(e13) = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_3276,c_206]) ).

tff(c_3275,plain,
    h(e11) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_3259,c_204]) ).

tff(c_210,plain,
    h(j(e20)) = e20,
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_2861,plain,
    h(e10) = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_2858,c_210]) ).

tff(c_3133,plain,
    op2(h(e11),e20) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_2861,c_361]) ).

tff(c_3283,plain,
    op2(e23,e20) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_3275,c_3133]) ).

tff(c_3298,plain,
    h(e14) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_160,c_3283]) ).

tff(c_2964,plain,
    op2(h(e14),e20) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_2861,c_376]) ).

tff(c_3338,plain,
    op2(e24,e20) = h(e13),
    inference(demodulation,[status(thm),theory(equality)],[c_3298,c_2964]) ).

tff(c_3342,plain,
    h(e13) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_150,c_3338]) ).

tff(c_3385,plain,
    e23 = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_3325,c_3342]) ).

tff(c_3386,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_26,c_3385]) ).

tff(c_3387,plain,
    ( ( j(e23) = e12 )
    | ( j(e23) = e13 ) ),
    inference(splitRight,[status(thm)],[c_3257]) ).

tff(c_3389,plain,
    j(e23) = e13,
    inference(splitLeft,[status(thm)],[c_3387]) ).

tff(c_3393,plain,
    op1(e13,e10) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_3389,c_3124]) ).

tff(c_3408,plain,
    j(e24) = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_110,c_3393]) ).

tff(c_3392,plain,
    op1(e10,e13) = j(e22),
    inference(demodulation,[status(thm),theory(equality)],[c_3389,c_3138]) ).

tff(c_3407,plain,
    j(e22) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_134,c_3392]) ).

tff(c_3443,plain,
    op1(e10,e11) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_3407,c_2890]) ).

tff(c_3447,plain,
    j(e24) = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_138,c_3443]) ).

tff(c_3502,plain,
    e13 = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_3408,c_3447]) ).

tff(c_3503,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6,c_3502]) ).

tff(c_3504,plain,
    j(e23) = e12,
    inference(splitRight,[status(thm)],[c_3387]) ).

tff(c_3509,plain,
    op1(e12,e10) = j(e24),
    inference(demodulation,[status(thm),theory(equality)],[c_3504,c_3124]) ).

tff(c_3524,plain,
    j(e24) = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_3509]) ).

tff(c_3551,plain,
    h(e11) = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_3524,c_202]) ).

tff(c_3581,plain,
    op2(e24,e20) = h(e14),
    inference(demodulation,[status(thm),theory(equality)],[c_3551,c_3133]) ).

tff(c_3590,plain,
    h(e14) = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_150,c_3581]) ).

tff(c_3603,plain,
    j(e23) = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_3590,c_192]) ).

tff(c_3606,plain,
    e14 = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_3504,c_3603]) ).

tff(c_3608,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4,c_3606]) ).

tff(c_3610,plain,
    j(e20) != e10,
    inference(splitRight,[status(thm)],[c_320]) ).

tff(c_330,plain,
    ( ( h(e10) = e24 )
    | ( h(e10) = e23 )
    | ( h(e10) = e22 )
    | ( h(e10) = e21 )
    | ( h(e10) = e20 ) ),
    inference(cnfTransformation,[status(thm)],[f_476]) ).

tff(c_4856,plain,
    h(e10) = e20,
    inference(splitLeft,[status(thm)],[c_330]) ).

tff(c_4863,plain,
    j(e20) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_4856,c_200]) ).

tff(c_4866,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3610,c_4863]) ).

tff(c_4867,plain,
    ( ( h(e10) = e21 )
    | ( h(e10) = e22 )
    | ( h(e10) = e23 )
    | ( h(e10) = e24 ) ),
    inference(splitRight,[status(thm)],[c_330]) ).

tff(c_5970,plain,
    h(e10) = e24,
    inference(splitLeft,[status(thm)],[c_4867]) ).

tff(c_5986,plain,
    j(e24) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_5970,c_200]) ).

tff(c_5989,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5945,c_5986]) ).

tff(c_5990,plain,
    ( ( h(e10) = e23 )
    | ( h(e10) = e22 )
    | ( h(e10) = e21 ) ),
    inference(splitRight,[status(thm)],[c_4867]) ).

tff(c_5992,plain,
    h(e10) = e21,
    inference(splitLeft,[status(thm)],[c_5990]) ).

tff(c_6008,plain,
    j(e21) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_5992,c_200]) ).

tff(c_6011,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2186,c_6008]) ).

tff(c_6012,plain,
    ( ( h(e10) = e22 )
    | ( h(e10) = e23 ) ),
    inference(splitRight,[status(thm)],[c_5990]) ).

tff(c_6014,plain,
    h(e10) = e23,
    inference(splitLeft,[status(thm)],[c_6012]) ).

tff(c_6031,plain,
    j(e23) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_6014,c_200]) ).

tff(c_6034,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2833,c_6031]) ).

tff(c_6035,plain,
    h(e10) = e22,
    inference(splitRight,[status(thm)],[c_6012]) ).

tff(c_6053,plain,
    j(e22) = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_6035,c_200]) ).

tff(c_6056,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4246,c_6053]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% 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
% 0.13/0.35  % 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 20:28:21 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 12.58/4.22  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.58/4.26  
% 12.58/4.26  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.58/4.34  
% 12.58/4.34  Inference rules
% 12.58/4.34  ----------------------
% 12.58/4.34  #Ref     : 0
% 12.58/4.34  #Sup     : 1328
% 12.58/4.34  #Fact    : 0
% 12.58/4.34  #Define  : 0
% 12.58/4.34  #Split   : 91
% 12.58/4.34  #Chain   : 0
% 12.58/4.34  #Close   : 0
% 12.58/4.34  
% 12.58/4.34  Ordering : KBO
% 12.58/4.34  
% 12.58/4.34  Simplification rules
% 12.58/4.34  ----------------------
% 12.58/4.34  #Subsume      : 169
% 12.58/4.34  #Demod        : 3031
% 12.58/4.34  #Tautology    : 1557
% 12.58/4.34  #SimpNegUnit  : 95
% 12.58/4.34  #BackRed      : 1931
% 12.58/4.34  
% 12.58/4.34  #Partial instantiations: 0
% 12.58/4.34  #Strategies tried      : 1
% 12.58/4.34  
% 12.58/4.34  Timing (in seconds)
% 12.58/4.34  ----------------------
% 13.03/4.34  Preprocessing        : 0.70
% 13.03/4.34  Parsing              : 0.39
% 13.03/4.34  CNF conversion       : 0.03
% 13.03/4.34  Main loop            : 2.41
% 13.03/4.34  Inferencing          : 0.54
% 13.03/4.34  Reduction            : 1.06
% 13.03/4.34  Demodulation         : 0.75
% 13.03/4.34  BG Simplification    : 0.05
% 13.03/4.34  Subsumption          : 0.52
% 13.03/4.34  Abstraction          : 0.04
% 13.03/4.34  MUC search           : 0.00
% 13.03/4.34  Cooper               : 0.00
% 13.03/4.34  Total                : 3.24
% 13.03/4.34  Index Insertion      : 0.00
% 13.03/4.34  Index Deletion       : 0.00
% 13.03/4.34  Index Matching       : 0.00
% 13.03/4.34  BG Taut test         : 0.00
%------------------------------------------------------------------------------