TSTP Solution File: PUZ016-2.005 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PUZ016-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:53:59 EDT 2023

% Result   : Unsatisfiable 10.43s 3.64s
% Output   : CNFRefutation 11.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  113
% Syntax   : Number of formulae    :  972 ( 788 unt;  40 typ;   0 def)
%            Number of atoms       : 1105 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  783 ( 610   ~; 173   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   41 (  40 usr;  41 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ #nlpp > vertical_4_5 > vertical_4_4 > vertical_4_3 > vertical_4_2 > vertical_4_1 > vertical_3_5 > vertical_3_4 > vertical_3_3 > vertical_3_2 > vertical_3_1 > vertical_2_5 > vertical_2_4 > vertical_2_3 > vertical_2_2 > vertical_2_1 > vertical_1_5 > vertical_1_4 > vertical_1_3 > vertical_1_2 > vertical_1_1 > horizontal_5_4 > horizontal_5_3 > horizontal_5_2 > horizontal_5_1 > horizontal_4_4 > horizontal_4_3 > horizontal_4_2 > horizontal_4_1 > horizontal_3_4 > horizontal_3_3 > horizontal_3_2 > horizontal_3_1 > horizontal_2_4 > horizontal_2_3 > horizontal_2_2 > horizontal_2_1 > horizontal_1_4 > horizontal_1_3 > horizontal_1_2 > horizontal_1_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(vertical_4_2,type,
    vertical_4_2: $o ).

tff(vertical_4_1,type,
    vertical_4_1: $o ).

tff(vertical_1_5,type,
    vertical_1_5: $o ).

tff(horizontal_2_3,type,
    horizontal_2_3: $o ).

tff(vertical_1_1,type,
    vertical_1_1: $o ).

tff(horizontal_1_2,type,
    horizontal_1_2: $o ).

tff(vertical_3_5,type,
    vertical_3_5: $o ).

tff(vertical_2_5,type,
    vertical_2_5: $o ).

tff(vertical_2_3,type,
    vertical_2_3: $o ).

tff(horizontal_5_1,type,
    horizontal_5_1: $o ).

tff(horizontal_4_1,type,
    horizontal_4_1: $o ).

tff(vertical_4_4,type,
    vertical_4_4: $o ).

tff(horizontal_1_1,type,
    horizontal_1_1: $o ).

tff(horizontal_1_4,type,
    horizontal_1_4: $o ).

tff(horizontal_3_4,type,
    horizontal_3_4: $o ).

tff(horizontal_4_2,type,
    horizontal_4_2: $o ).

tff(horizontal_2_2,type,
    horizontal_2_2: $o ).

tff(horizontal_2_4,type,
    horizontal_2_4: $o ).

tff(vertical_1_3,type,
    vertical_1_3: $o ).

tff(vertical_3_2,type,
    vertical_3_2: $o ).

tff(horizontal_2_1,type,
    horizontal_2_1: $o ).

tff(horizontal_3_3,type,
    horizontal_3_3: $o ).

tff(vertical_1_4,type,
    vertical_1_4: $o ).

tff(horizontal_5_3,type,
    horizontal_5_3: $o ).

tff(horizontal_3_2,type,
    horizontal_3_2: $o ).

tff(vertical_4_5,type,
    vertical_4_5: $o ).

tff(horizontal_5_2,type,
    horizontal_5_2: $o ).

tff(horizontal_1_3,type,
    horizontal_1_3: $o ).

tff(horizontal_4_4,type,
    horizontal_4_4: $o ).

tff(vertical_2_1,type,
    vertical_2_1: $o ).

tff(horizontal_4_3,type,
    horizontal_4_3: $o ).

tff(vertical_1_2,type,
    vertical_1_2: $o ).

tff(horizontal_3_1,type,
    horizontal_3_1: $o ).

tff(vertical_2_2,type,
    vertical_2_2: $o ).

tff(vertical_3_1,type,
    vertical_3_1: $o ).

tff(vertical_3_3,type,
    vertical_3_3: $o ).

tff(vertical_2_4,type,
    vertical_2_4: $o ).

tff(vertical_4_3,type,
    vertical_4_3: $o ).

tff(horizontal_5_4,type,
    horizontal_5_4: $o ).

tff(vertical_3_4,type,
    vertical_3_4: $o ).

tff(f_601,axiom,
    ( ~ horizontal_5_3
    | ~ vertical_4_4 ),
    file(unknown,unknown) ).

tff(f_421,axiom,
    ( ~ vertical_3_5
    | ~ horizontal_3_4 ),
    file(unknown,unknown) ).

tff(f_431,axiom,
    ( ~ horizontal_3_4
    | ~ vertical_2_5 ),
    file(unknown,unknown) ).

tff(f_371,axiom,
    ( ~ horizontal_3_3
    | ~ vertical_2_3 ),
    file(unknown,unknown) ).

tff(f_571,axiom,
    ( ~ horizontal_5_1
    | ~ vertical_4_2 ),
    file(unknown,unknown) ).

tff(f_148,axiom,
    ( horizontal_5_1
    | vertical_4_1 ),
    file(unknown,unknown) ).

tff(f_39,axiom,
    ~ horizontal_1_1,
    file(unknown,unknown) ).

tff(f_44,axiom,
    ( horizontal_1_1
    | vertical_1_1 ),
    file(unknown,unknown) ).

tff(f_206,axiom,
    ( ~ vertical_2_1
    | ~ vertical_1_1 ),
    file(unknown,unknown) ).

tff(f_88,axiom,
    ( horizontal_3_1
    | vertical_3_1
    | vertical_2_1 ),
    file(unknown,unknown) ).

tff(f_551,axiom,
    ( ~ horizontal_4_4
    | ~ vertical_3_5 ),
    file(unknown,unknown) ).

tff(f_591,axiom,
    ( ~ horizontal_5_4
    | ~ horizontal_5_3 ),
    file(unknown,unknown) ).

tff(f_541,axiom,
    ( ~ vertical_4_5
    | ~ horizontal_4_4 ),
    file(unknown,unknown) ).

tff(f_166,axiom,
    ( horizontal_5_4
    | vertical_4_5 ),
    file(unknown,unknown) ).

tff(f_426,axiom,
    ( ~ vertical_3_5
    | ~ vertical_2_5 ),
    file(unknown,unknown) ).

tff(f_306,axiom,
    ( ~ vertical_2_5
    | ~ vertical_1_5 ),
    file(unknown,unknown) ).

tff(f_114,axiom,
    ( vertical_3_5
    | horizontal_3_4
    | vertical_2_5 ),
    file(unknown,unknown) ).

tff(f_301,axiom,
    ( ~ vertical_2_5
    | ~ horizontal_2_4 ),
    file(unknown,unknown) ).

tff(f_546,axiom,
    ( ~ vertical_4_5
    | ~ vertical_3_5 ),
    file(unknown,unknown) ).

tff(f_456,axiom,
    ( ~ horizontal_4_2
    | ~ horizontal_4_1 ),
    file(unknown,unknown) ).

tff(f_566,axiom,
    ( ~ horizontal_5_2
    | ~ vertical_4_2 ),
    file(unknown,unknown) ).

tff(f_496,axiom,
    ( ~ vertical_4_3
    | ~ horizontal_4_2 ),
    file(unknown,unknown) ).

tff(f_158,axiom,
    ( horizontal_5_3
    | horizontal_5_2
    | vertical_4_3 ),
    file(unknown,unknown) ).

tff(f_436,axiom,
    ( ~ horizontal_4_1
    | ~ vertical_4_1 ),
    file(unknown,unknown) ).

tff(f_346,axiom,
    ( ~ vertical_3_2
    | ~ horizontal_3_1 ),
    file(unknown,unknown) ).

tff(f_126,axiom,
    ( horizontal_4_2
    | vertical_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    file(unknown,unknown) ).

tff(f_561,axiom,
    ( ~ horizontal_5_2
    | ~ horizontal_5_1 ),
    file(unknown,unknown) ).

tff(f_376,axiom,
    ( ~ vertical_3_3
    | ~ horizontal_3_2 ),
    file(unknown,unknown) ).

tff(f_336,axiom,
    ( ~ horizontal_3_2
    | ~ horizontal_3_1 ),
    file(unknown,unknown) ).

tff(f_256,axiom,
    ( ~ vertical_2_3
    | ~ horizontal_2_2 ),
    file(unknown,unknown) ).

tff(f_102,axiom,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    file(unknown,unknown) ).

tff(f_356,axiom,
    ( ~ horizontal_3_1
    | ~ vertical_2_2 ),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ~ vertical_1_2,
    file(unknown,unknown) ).

tff(f_201,axiom,
    ( ~ horizontal_2_1
    | ~ vertical_1_1 ),
    file(unknown,unknown) ).

tff(f_64,axiom,
    ( horizontal_2_2
    | vertical_2_2
    | horizontal_2_1
    | vertical_1_2 ),
    file(unknown,unknown) ).

tff(f_446,axiom,
    ( ~ vertical_4_1
    | ~ vertical_3_1 ),
    file(unknown,unknown) ).

tff(f_491,axiom,
    ( ~ horizontal_4_3
    | ~ vertical_3_3 ),
    file(unknown,unknown) ).

tff(f_391,axiom,
    ( ~ horizontal_3_4
    | ~ vertical_3_4 ),
    file(unknown,unknown) ).

tff(f_316,axiom,
    ( ~ horizontal_3_1
    | ~ vertical_3_1 ),
    file(unknown,unknown) ).

tff(f_311,axiom,
    ( ~ horizontal_2_4
    | ~ vertical_1_5 ),
    file(unknown,unknown) ).

tff(f_576,axiom,
    ( ~ horizontal_5_3
    | ~ horizontal_5_2 ),
    file(unknown,unknown) ).

tff(f_411,axiom,
    ( ~ vertical_3_4
    | ~ vertical_2_4 ),
    file(unknown,unknown) ).

tff(f_140,axiom,
    ( horizontal_4_4
    | vertical_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    file(unknown,unknown) ).

tff(f_296,axiom,
    ( ~ horizontal_2_3
    | ~ vertical_1_4 ),
    file(unknown,unknown) ).

tff(f_33,axiom,
    ~ horizontal_1_3,
    file(unknown,unknown) ).

tff(f_49,axiom,
    ( horizontal_1_4
    | vertical_1_4
    | horizontal_1_3 ),
    file(unknown,unknown) ).

tff(f_176,axiom,
    ( ~ horizontal_1_4
    | ~ vertical_1_4 ),
    file(unknown,unknown) ).

tff(f_78,axiom,
    ( horizontal_2_4
    | vertical_2_4
    | horizontal_2_3
    | vertical_1_4 ),
    file(unknown,unknown) ).

tff(f_241,axiom,
    ( ~ horizontal_2_3
    | ~ vertical_2_3 ),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ( vertical_1_5
    | horizontal_1_4 ),
    file(unknown,unknown) ).

tff(f_606,axiom,
    ( ~ horizontal_5_4
    | ~ vertical_4_5 ),
    file(unknown,unknown) ).

tff(f_556,axiom,
    ( ~ horizontal_5_1
    | ~ vertical_4_1 ),
    file(unknown,unknown) ).

tff(f_276,axiom,
    ( ~ horizontal_2_4
    | ~ horizontal_2_3 ),
    file(unknown,unknown) ).

tff(f_246,axiom,
    ( ~ horizontal_2_3
    | ~ horizontal_2_2 ),
    file(unknown,unknown) ).

tff(f_341,axiom,
    ( ~ horizontal_3_2
    | ~ vertical_2_2 ),
    file(unknown,unknown) ).

tff(f_441,axiom,
    ( ~ horizontal_4_1
    | ~ vertical_3_1 ),
    file(unknown,unknown) ).

tff(f_506,axiom,
    ( ~ horizontal_4_2
    | ~ vertical_3_3 ),
    file(unknown,unknown) ).

tff(f_501,axiom,
    ( ~ vertical_4_3
    | ~ vertical_3_3 ),
    file(unknown,unknown) ).

tff(f_521,axiom,
    ( ~ horizontal_4_4
    | ~ vertical_3_4 ),
    file(unknown,unknown) ).

tff(f_291,axiom,
    ( ~ vertical_2_4
    | ~ vertical_1_4 ),
    file(unknown,unknown) ).

tff(f_416,axiom,
    ( ~ horizontal_3_3
    | ~ vertical_2_4 ),
    file(unknown,unknown) ).

tff(f_596,axiom,
    ( ~ horizontal_5_4
    | ~ vertical_4_4 ),
    file(unknown,unknown) ).

tff(f_396,axiom,
    ( ~ horizontal_3_4
    | ~ horizontal_3_3 ),
    file(unknown,unknown) ).

tff(f_271,axiom,
    ( ~ horizontal_2_4
    | ~ vertical_2_4 ),
    file(unknown,unknown) ).

tff(f_406,axiom,
    ( ~ vertical_3_4
    | ~ horizontal_3_3 ),
    file(unknown,unknown) ).

tff(f_351,axiom,
    ( ~ vertical_3_2
    | ~ vertical_2_2 ),
    file(unknown,unknown) ).

tff(f_331,axiom,
    ( ~ horizontal_3_2
    | ~ vertical_3_2 ),
    file(unknown,unknown) ).

tff(f_511,axiom,
    ( ~ horizontal_4_4
    | ~ vertical_4_4 ),
    file(unknown,unknown) ).

tff(f_486,axiom,
    ( ~ horizontal_4_3
    | ~ horizontal_4_2 ),
    file(unknown,unknown) ).

tff(f_481,axiom,
    ( ~ horizontal_4_3
    | ~ vertical_4_3 ),
    file(unknown,unknown) ).

tff(f_281,axiom,
    ( ~ horizontal_2_4
    | ~ vertical_1_4 ),
    file(unknown,unknown) ).

tff(f_586,axiom,
    ( ~ horizontal_5_2
    | ~ vertical_4_3 ),
    file(unknown,unknown) ).

tff(f_401,axiom,
    ( ~ horizontal_3_4
    | ~ vertical_2_4 ),
    file(unknown,unknown) ).

tff(c_232,plain,
    ( ~ vertical_4_4
    | ~ horizontal_5_3 ),
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_17385,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_232]) ).

tff(c_160,plain,
    ( ~ horizontal_3_4
    | ~ vertical_3_5 ),
    inference(cnfTransformation,[status(thm)],[f_421]) ).

tff(c_14094,plain,
    ~ vertical_3_5,
    inference(splitLeft,[status(thm)],[c_160]) ).

tff(c_164,plain,
    ( ~ vertical_2_5
    | ~ horizontal_3_4 ),
    inference(cnfTransformation,[status(thm)],[f_431]) ).

tff(c_14097,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_164]) ).

tff(c_140,plain,
    ( ~ vertical_2_3
    | ~ horizontal_3_3 ),
    inference(cnfTransformation,[status(thm)],[f_371]) ).

tff(c_11069,plain,
    ~ horizontal_3_3,
    inference(splitLeft,[status(thm)],[c_140]) ).

tff(c_10324,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_232]) ).

tff(c_220,plain,
    ( ~ vertical_4_2
    | ~ horizontal_5_1 ),
    inference(cnfTransformation,[status(thm)],[f_571]) ).

tff(c_10328,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_50,plain,
    ( vertical_4_1
    | horizontal_5_1 ),
    inference(cnfTransformation,[status(thm)],[f_148]) ).

tff(c_10346,plain,
    vertical_4_1,
    inference(negUnitSimplification,[status(thm)],[c_10328,c_50]) ).

tff(c_10,plain,
    ~ horizontal_1_1,
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_14,plain,
    ( vertical_1_1
    | horizontal_1_1 ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_235,plain,
    vertical_1_1,
    inference(negUnitSimplification,[status(thm)],[c_10,c_14]) ).

tff(c_74,plain,
    ( ~ vertical_1_1
    | ~ vertical_2_1 ),
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_237,plain,
    ~ vertical_2_1,
    inference(demodulation,[status(thm),theory(equality)],[c_235,c_74]) ).

tff(c_30,plain,
    ( vertical_2_1
    | vertical_3_1
    | horizontal_3_1 ),
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_241,plain,
    ( vertical_3_1
    | horizontal_3_1 ),
    inference(negUnitSimplification,[status(thm)],[c_237,c_30]) ).

tff(c_10303,plain,
    horizontal_3_1,
    inference(splitLeft,[status(thm)],[c_241]) ).

tff(c_212,plain,
    ( ~ vertical_3_5
    | ~ horizontal_4_4 ),
    inference(cnfTransformation,[status(thm)],[f_551]) ).

tff(c_9984,plain,
    ~ horizontal_4_4,
    inference(splitLeft,[status(thm)],[c_212]) ).

tff(c_228,plain,
    ( ~ horizontal_5_3
    | ~ horizontal_5_4 ),
    inference(cnfTransformation,[status(thm)],[f_591]) ).

tff(c_9834,plain,
    ~ horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_228]) ).

tff(c_208,plain,
    ( ~ horizontal_4_4
    | ~ vertical_4_5 ),
    inference(cnfTransformation,[status(thm)],[f_541]) ).

tff(c_9930,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_208]) ).

tff(c_58,plain,
    ( vertical_4_5
    | horizontal_5_4 ),
    inference(cnfTransformation,[status(thm)],[f_166]) ).

tff(c_9955,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9834,c_9930,c_58]) ).

tff(c_9957,plain,
    vertical_4_5,
    inference(splitRight,[status(thm)],[c_208]) ).

tff(c_162,plain,
    ( ~ vertical_2_5
    | ~ vertical_3_5 ),
    inference(cnfTransformation,[status(thm)],[f_426]) ).

tff(c_9838,plain,
    ~ vertical_3_5,
    inference(splitLeft,[status(thm)],[c_162]) ).

tff(c_9844,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_164]) ).

tff(c_9166,plain,
    ~ vertical_3_5,
    inference(splitLeft,[status(thm)],[c_162]) ).

tff(c_9165,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_164]) ).

tff(c_114,plain,
    ( ~ vertical_1_5
    | ~ vertical_2_5 ),
    inference(cnfTransformation,[status(thm)],[f_306]) ).

tff(c_9167,plain,
    ~ vertical_2_5,
    inference(splitLeft,[status(thm)],[c_114]) ).

tff(c_38,plain,
    ( vertical_2_5
    | horizontal_3_4
    | vertical_3_5 ),
    inference(cnfTransformation,[status(thm)],[f_114]) ).

tff(c_9210,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9166,c_9165,c_9167,c_38]) ).

tff(c_9212,plain,
    vertical_2_5,
    inference(splitRight,[status(thm)],[c_114]) ).

tff(c_112,plain,
    ( ~ horizontal_2_4
    | ~ vertical_2_5 ),
    inference(cnfTransformation,[status(thm)],[f_301]) ).

tff(c_9263,plain,
    ~ horizontal_2_4,
    inference(demodulation,[status(thm),theory(equality)],[c_9212,c_112]) ).

tff(c_210,plain,
    ( ~ vertical_3_5
    | ~ vertical_4_5 ),
    inference(cnfTransformation,[status(thm)],[f_546]) ).

tff(c_8983,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_9017,plain,
    horizontal_5_4,
    inference(negUnitSimplification,[status(thm)],[c_8983,c_58]) ).

tff(c_8439,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_232]) ).

tff(c_174,plain,
    ( ~ horizontal_4_1
    | ~ horizontal_4_2 ),
    inference(cnfTransformation,[status(thm)],[f_456]) ).

tff(c_8599,plain,
    ~ horizontal_4_2,
    inference(splitLeft,[status(thm)],[c_174]) ).

tff(c_218,plain,
    ( ~ vertical_4_2
    | ~ horizontal_5_2 ),
    inference(cnfTransformation,[status(thm)],[f_566]) ).

tff(c_8442,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_190,plain,
    ( ~ horizontal_4_2
    | ~ vertical_4_3 ),
    inference(cnfTransformation,[status(thm)],[f_496]) ).

tff(c_8440,plain,
    ~ vertical_4_3,
    inference(splitLeft,[status(thm)],[c_190]) ).

tff(c_54,plain,
    ( vertical_4_3
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(cnfTransformation,[status(thm)],[f_158]) ).

tff(c_8550,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8439,c_8442,c_8440,c_54]) ).

tff(c_8551,plain,
    ~ vertical_4_2,
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_8441,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_8663,plain,
    vertical_4_1,
    inference(negUnitSimplification,[status(thm)],[c_8441,c_50]) ).

tff(c_166,plain,
    ( ~ vertical_4_1
    | ~ horizontal_4_1 ),
    inference(cnfTransformation,[status(thm)],[f_436]) ).

tff(c_8680,plain,
    ~ horizontal_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_8663,c_166]) ).

tff(c_130,plain,
    ( ~ horizontal_3_1
    | ~ vertical_3_2 ),
    inference(cnfTransformation,[status(thm)],[f_346]) ).

tff(c_247,plain,
    ~ vertical_3_2,
    inference(splitLeft,[status(thm)],[c_130]) ).

tff(c_42,plain,
    ( vertical_3_2
    | horizontal_4_1
    | vertical_4_2
    | horizontal_4_2 ),
    inference(cnfTransformation,[status(thm)],[f_126]) ).

tff(c_8706,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8599,c_8551,c_8680,c_247,c_42]) ).

tff(c_8708,plain,
    horizontal_4_2,
    inference(splitRight,[status(thm)],[c_174]) ).

tff(c_3418,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_208]) ).

tff(c_3429,plain,
    horizontal_5_4,
    inference(negUnitSimplification,[status(thm)],[c_3418,c_58]) ).

tff(c_3299,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_232]) ).

tff(c_3300,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_250,plain,
    ~ vertical_4_3,
    inference(splitLeft,[status(thm)],[c_190]) ).

tff(c_3393,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3299,c_3300,c_250,c_54]) ).

tff(c_3395,plain,
    horizontal_5_2,
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_216,plain,
    ( ~ horizontal_5_1
    | ~ horizontal_5_2 ),
    inference(cnfTransformation,[status(thm)],[f_561]) ).

tff(c_3400,plain,
    ~ horizontal_5_1,
    inference(demodulation,[status(thm),theory(equality)],[c_3395,c_216]) ).

tff(c_248,plain,
    ~ horizontal_3_3,
    inference(splitLeft,[status(thm)],[c_140]) ).

tff(c_142,plain,
    ( ~ horizontal_3_2
    | ~ vertical_3_3 ),
    inference(cnfTransformation,[status(thm)],[f_376]) ).

tff(c_249,plain,
    ~ vertical_3_3,
    inference(splitLeft,[status(thm)],[c_142]) ).

tff(c_126,plain,
    ( ~ horizontal_3_1
    | ~ horizontal_3_2 ),
    inference(cnfTransformation,[status(thm)],[f_336]) ).

tff(c_251,plain,
    ~ horizontal_3_2,
    inference(splitLeft,[status(thm)],[c_126]) ).

tff(c_94,plain,
    ( ~ horizontal_2_2
    | ~ vertical_2_3 ),
    inference(cnfTransformation,[status(thm)],[f_256]) ).

tff(c_3120,plain,
    ~ vertical_2_3,
    inference(splitLeft,[status(thm)],[c_94]) ).

tff(c_34,plain,
    ( vertical_2_3
    | horizontal_3_2
    | vertical_3_3
    | horizontal_3_3 ),
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_3150,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_248,c_249,c_251,c_3120,c_34]) ).

tff(c_3151,plain,
    ~ horizontal_2_2,
    inference(splitRight,[status(thm)],[c_94]) ).

tff(c_2867,plain,
    horizontal_3_1,
    inference(splitLeft,[status(thm)],[c_241]) ).

tff(c_134,plain,
    ( ~ vertical_2_2
    | ~ horizontal_3_1 ),
    inference(cnfTransformation,[status(thm)],[f_356]) ).

tff(c_3088,plain,
    ~ vertical_2_2,
    inference(demodulation,[status(thm),theory(equality)],[c_2867,c_134]) ).

tff(c_6,plain,
    ~ vertical_1_2,
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_72,plain,
    ( ~ vertical_1_1
    | ~ horizontal_2_1 ),
    inference(cnfTransformation,[status(thm)],[f_201]) ).

tff(c_239,plain,
    ~ horizontal_2_1,
    inference(demodulation,[status(thm),theory(equality)],[c_235,c_72]) ).

tff(c_22,plain,
    ( vertical_1_2
    | horizontal_2_1
    | vertical_2_2
    | horizontal_2_2 ),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_242,plain,
    ( vertical_1_2
    | vertical_2_2
    | horizontal_2_2 ),
    inference(negUnitSimplification,[status(thm)],[c_239,c_22]) ).

tff(c_244,plain,
    ( vertical_2_2
    | horizontal_2_2 ),
    inference(negUnitSimplification,[status(thm)],[c_6,c_242]) ).

tff(c_3157,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3151,c_3088,c_244]) ).

tff(c_3158,plain,
    vertical_3_1,
    inference(splitRight,[status(thm)],[c_241]) ).

tff(c_170,plain,
    ( ~ vertical_3_1
    | ~ vertical_4_1 ),
    inference(cnfTransformation,[status(thm)],[f_446]) ).

tff(c_3406,plain,
    ~ vertical_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_3158,c_170]) ).

tff(c_3410,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3400,c_3406,c_50]) ).

tff(c_3412,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_232]) ).

tff(c_3437,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3429,c_3412,c_228]) ).

tff(c_3438,plain,
    ~ horizontal_4_4,
    inference(splitRight,[status(thm)],[c_208]) ).

tff(c_3411,plain,
    ~ vertical_4_4,
    inference(splitRight,[status(thm)],[c_232]) ).

tff(c_188,plain,
    ( ~ vertical_3_3
    | ~ horizontal_4_3 ),
    inference(cnfTransformation,[status(thm)],[f_491]) ).

tff(c_246,plain,
    ~ horizontal_4_3,
    inference(splitLeft,[status(thm)],[c_188]) ).

tff(c_3163,plain,
    ~ horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_228]) ).

tff(c_3176,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_3187,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3163,c_3176,c_58]) ).

tff(c_3188,plain,
    ~ vertical_3_5,
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_148,plain,
    ( ~ vertical_3_4
    | ~ horizontal_3_4 ),
    inference(cnfTransformation,[status(thm)],[f_391]) ).

tff(c_3161,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_148]) ).

tff(c_2251,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_232]) ).

tff(c_2444,plain,
    ~ vertical_2_3,
    inference(splitLeft,[status(thm)],[c_94]) ).

tff(c_2475,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_248,c_249,c_251,c_2444,c_34]) ).

tff(c_2476,plain,
    ~ horizontal_2_2,
    inference(splitRight,[status(thm)],[c_94]) ).

tff(c_2254,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_2291,plain,
    vertical_4_1,
    inference(negUnitSimplification,[status(thm)],[c_2254,c_50]) ).

tff(c_118,plain,
    ( ~ vertical_3_1
    | ~ horizontal_3_1 ),
    inference(cnfTransformation,[status(thm)],[f_316]) ).

tff(c_2256,plain,
    ~ horizontal_3_1,
    inference(splitLeft,[status(thm)],[c_118]) ).

tff(c_2283,plain,
    vertical_3_1,
    inference(negUnitSimplification,[status(thm)],[c_2256,c_241]) ).

tff(c_2304,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2291,c_2283,c_170]) ).

tff(c_2306,plain,
    horizontal_3_1,
    inference(splitRight,[status(thm)],[c_118]) ).

tff(c_2356,plain,
    ~ vertical_2_2,
    inference(demodulation,[status(thm),theory(equality)],[c_2306,c_134]) ).

tff(c_2482,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2476,c_2356,c_244]) ).

tff(c_2484,plain,
    horizontal_5_1,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_2500,plain,
    ~ horizontal_5_2,
    inference(demodulation,[status(thm),theory(equality)],[c_2484,c_216]) ).

tff(c_2533,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2251,c_2500,c_250,c_54]) ).

tff(c_2535,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_232]) ).

tff(c_2540,plain,
    ~ horizontal_5_4,
    inference(demodulation,[status(thm),theory(equality)],[c_2535,c_228]) ).

tff(c_2538,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_2556,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2540,c_2538,c_58]) ).

tff(c_2557,plain,
    ~ vertical_3_5,
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_2617,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_164]) ).

tff(c_116,plain,
    ( ~ vertical_1_5
    | ~ horizontal_2_4 ),
    inference(cnfTransformation,[status(thm)],[f_311]) ).

tff(c_2621,plain,
    ~ horizontal_2_4,
    inference(splitLeft,[status(thm)],[c_116]) ).

tff(c_1961,plain,
    ~ horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_228]) ).

tff(c_1338,plain,
    ~ horizontal_4_4,
    inference(splitLeft,[status(thm)],[c_212]) ).

tff(c_1519,plain,
    ~ horizontal_3_1,
    inference(splitLeft,[status(thm)],[c_134]) ).

tff(c_222,plain,
    ( ~ horizontal_5_2
    | ~ horizontal_5_3 ),
    inference(cnfTransformation,[status(thm)],[f_576]) ).

tff(c_1343,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_222]) ).

tff(c_1473,plain,
    horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_50]) ).

tff(c_1490,plain,
    ~ horizontal_5_2,
    inference(demodulation,[status(thm),theory(equality)],[c_1473,c_216]) ).

tff(c_1510,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1343,c_1490,c_250,c_54]) ).

tff(c_1511,plain,
    vertical_4_1,
    inference(splitRight,[status(thm)],[c_50]) ).

tff(c_1522,plain,
    ~ vertical_3_1,
    inference(demodulation,[status(thm),theory(equality)],[c_1511,c_170]) ).

tff(c_1523,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1519,c_1522,c_241]) ).

tff(c_1524,plain,
    ~ vertical_2_2,
    inference(splitRight,[status(thm)],[c_134]) ).

tff(c_1532,plain,
    horizontal_2_2,
    inference(negUnitSimplification,[status(thm)],[c_1524,c_244]) ).

tff(c_1536,plain,
    ~ vertical_2_3,
    inference(demodulation,[status(thm),theory(equality)],[c_1532,c_94]) ).

tff(c_1602,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_248,c_249,c_251,c_1536,c_34]) ).

tff(c_1604,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_1918,plain,
    ~ vertical_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_1604,c_232]) ).

tff(c_156,plain,
    ( ~ vertical_2_4
    | ~ vertical_3_4 ),
    inference(cnfTransformation,[status(thm)],[f_411]) ).

tff(c_254,plain,
    ~ vertical_3_4,
    inference(splitLeft,[status(thm)],[c_156]) ).

tff(c_46,plain,
    ( vertical_3_4
    | horizontal_4_3
    | vertical_4_4
    | horizontal_4_4 ),
    inference(cnfTransformation,[status(thm)],[f_140]) ).

tff(c_1958,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1338,c_1918,c_246,c_254,c_46]) ).

tff(c_1960,plain,
    horizontal_4_4,
    inference(splitRight,[status(thm)],[c_212]) ).

tff(c_1974,plain,
    ~ vertical_4_5,
    inference(demodulation,[status(thm),theory(equality)],[c_1960,c_208]) ).

tff(c_1988,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1961,c_1974,c_58]) ).

tff(c_1989,plain,
    ~ horizontal_5_3,
    inference(splitRight,[status(thm)],[c_228]) ).

tff(c_1992,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_2039,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1989,c_1992,c_250,c_54]) ).

tff(c_2041,plain,
    horizontal_5_2,
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_2234,plain,
    ~ horizontal_5_1,
    inference(demodulation,[status(thm),theory(equality)],[c_2041,c_216]) ).

tff(c_2242,plain,
    vertical_4_1,
    inference(negUnitSimplification,[status(thm)],[c_2234,c_50]) ).

tff(c_2150,plain,
    ~ vertical_2_3,
    inference(splitLeft,[status(thm)],[c_94]) ).

tff(c_2193,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_248,c_249,c_251,c_2150,c_34]) ).

tff(c_2194,plain,
    ~ horizontal_2_2,
    inference(splitRight,[status(thm)],[c_94]) ).

tff(c_2042,plain,
    horizontal_3_1,
    inference(splitLeft,[status(thm)],[c_241]) ).

tff(c_2060,plain,
    ~ vertical_2_2,
    inference(demodulation,[status(thm),theory(equality)],[c_2042,c_134]) ).

tff(c_2226,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2194,c_2060,c_244]) ).

tff(c_2227,plain,
    vertical_3_1,
    inference(splitRight,[status(thm)],[c_241]) ).

tff(c_2248,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2242,c_2227,c_170]) ).

tff(c_2249,plain,
    ~ vertical_2_4,
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_110,plain,
    ( ~ vertical_1_4
    | ~ horizontal_2_3 ),
    inference(cnfTransformation,[status(thm)],[f_296]) ).

tff(c_2689,plain,
    ~ horizontal_2_3,
    inference(splitLeft,[status(thm)],[c_110]) ).

tff(c_4,plain,
    ~ horizontal_1_3,
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_16,plain,
    ( horizontal_1_3
    | vertical_1_4
    | horizontal_1_4 ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_245,plain,
    ( vertical_1_4
    | horizontal_1_4 ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_16]) ).

tff(c_253,plain,
    horizontal_1_4,
    inference(splitLeft,[status(thm)],[c_245]) ).

tff(c_62,plain,
    ( ~ vertical_1_4
    | ~ horizontal_1_4 ),
    inference(cnfTransformation,[status(thm)],[f_176]) ).

tff(c_2701,plain,
    ~ vertical_1_4,
    inference(demodulation,[status(thm),theory(equality)],[c_253,c_62]) ).

tff(c_26,plain,
    ( vertical_1_4
    | horizontal_2_3
    | vertical_2_4
    | horizontal_2_4 ),
    inference(cnfTransformation,[status(thm)],[f_78]) ).

tff(c_2730,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2621,c_2249,c_2689,c_2701,c_26]) ).

tff(c_2732,plain,
    horizontal_2_3,
    inference(splitRight,[status(thm)],[c_110]) ).

tff(c_88,plain,
    ( ~ vertical_2_3
    | ~ horizontal_2_3 ),
    inference(cnfTransformation,[status(thm)],[f_241]) ).

tff(c_2753,plain,
    ~ vertical_2_3,
    inference(demodulation,[status(thm),theory(equality)],[c_2732,c_88]) ).

tff(c_2784,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_248,c_249,c_251,c_2753,c_34]) ).

tff(c_2786,plain,
    horizontal_2_4,
    inference(splitRight,[status(thm)],[c_116]) ).

tff(c_2799,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_2786,c_112]) ).

tff(c_2830,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2557,c_2617,c_2799,c_38]) ).

tff(c_2832,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_164]) ).

tff(c_2250,plain,
    vertical_3_4,
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_2864,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2832,c_2250,c_148]) ).

tff(c_2866,plain,
    ~ horizontal_1_4,
    inference(splitRight,[status(thm)],[c_245]) ).

tff(c_18,plain,
    ( horizontal_1_4
    | vertical_1_5 ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_3199,plain,
    vertical_1_5,
    inference(negUnitSimplification,[status(thm)],[c_2866,c_18]) ).

tff(c_3204,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_3199,c_114]) ).

tff(c_3222,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3188,c_3161,c_3204,c_38]) ).

tff(c_3223,plain,
    ~ horizontal_5_3,
    inference(splitRight,[status(thm)],[c_228]) ).

tff(c_3162,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_3269,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3223,c_3162,c_250,c_54]) ).

tff(c_3271,plain,
    horizontal_5_2,
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_3279,plain,
    ~ horizontal_5_1,
    inference(demodulation,[status(thm),theory(equality)],[c_3271,c_216]) ).

tff(c_3286,plain,
    ~ vertical_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_3158,c_170]) ).

tff(c_3294,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3279,c_3286,c_50]) ).

tff(c_3295,plain,
    ~ vertical_3_4,
    inference(splitRight,[status(thm)],[c_148]) ).

tff(c_3789,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3438,c_3411,c_246,c_3295,c_46]) ).

tff(c_3790,plain,
    ~ horizontal_3_1,
    inference(splitRight,[status(thm)],[c_126]) ).

tff(c_5592,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_222]) ).

tff(c_5594,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_5674,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5592,c_5594,c_250,c_54]) ).

tff(c_5676,plain,
    horizontal_5_2,
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_5583,plain,
    ~ vertical_4_1,
    inference(splitLeft,[status(thm)],[c_170]) ).

tff(c_5703,plain,
    horizontal_5_1,
    inference(negUnitSimplification,[status(thm)],[c_5583,c_50]) ).

tff(c_5710,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5676,c_5703,c_216]) ).

tff(c_5712,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_5714,plain,
    ~ horizontal_5_4,
    inference(demodulation,[status(thm),theory(equality)],[c_5712,c_228]) ).

tff(c_234,plain,
    ( ~ vertical_4_5
    | ~ horizontal_5_4 ),
    inference(cnfTransformation,[status(thm)],[f_606]) ).

tff(c_5555,plain,
    ~ horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_234]) ).

tff(c_5227,plain,
    ~ vertical_3_5,
    inference(splitLeft,[status(thm)],[c_160]) ).

tff(c_5360,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_164]) ).

tff(c_5074,plain,
    horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_58]) ).

tff(c_5084,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_222]) ).

tff(c_5087,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_5155,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5084,c_5087,c_250,c_54]) ).

tff(c_5157,plain,
    horizontal_5_2,
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_5160,plain,
    horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_50]) ).

tff(c_5166,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5157,c_5160,c_216]) ).

tff(c_5167,plain,
    vertical_4_1,
    inference(splitRight,[status(thm)],[c_50]) ).

tff(c_5075,plain,
    vertical_3_1,
    inference(negUnitSimplification,[status(thm)],[c_3790,c_241]) ).

tff(c_5198,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5167,c_5075,c_170]) ).

tff(c_5200,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_5204,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5074,c_5200,c_228]) ).

tff(c_5205,plain,
    vertical_4_5,
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_4442,plain,
    horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_58]) ).

tff(c_4539,plain,
    ~ horizontal_5_3,
    inference(demodulation,[status(thm),theory(equality)],[c_4442,c_228]) ).

tff(c_4690,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_4737,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4539,c_4690,c_250,c_54]) ).

tff(c_4739,plain,
    horizontal_5_2,
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_214,plain,
    ( ~ vertical_4_1
    | ~ horizontal_5_1 ),
    inference(cnfTransformation,[status(thm)],[f_556]) ).

tff(c_4631,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_214]) ).

tff(c_4669,plain,
    vertical_4_1,
    inference(negUnitSimplification,[status(thm)],[c_4631,c_50]) ).

tff(c_4641,plain,
    vertical_3_1,
    inference(negUnitSimplification,[status(thm)],[c_3790,c_241]) ).

tff(c_4675,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4669,c_4641,c_170]) ).

tff(c_4677,plain,
    horizontal_5_1,
    inference(splitRight,[status(thm)],[c_214]) ).

tff(c_4745,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4739,c_4677,c_216]) ).

tff(c_4746,plain,
    vertical_4_5,
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_4756,plain,
    ~ vertical_3_5,
    inference(splitLeft,[status(thm)],[c_162]) ).

tff(c_4869,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_164]) ).

tff(c_3791,plain,
    horizontal_3_2,
    inference(splitRight,[status(thm)],[c_126]) ).

tff(c_102,plain,
    ( ~ horizontal_2_3
    | ~ horizontal_2_4 ),
    inference(cnfTransformation,[status(thm)],[f_276]) ).

tff(c_4065,plain,
    ~ horizontal_2_4,
    inference(splitLeft,[status(thm)],[c_102]) ).

tff(c_3795,plain,
    ~ horizontal_4_4,
    inference(splitLeft,[status(thm)],[c_212]) ).

tff(c_3908,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_222]) ).

tff(c_3910,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_3914,plain,
    vertical_3_1,
    inference(negUnitSimplification,[status(thm)],[c_3790,c_241]) ).

tff(c_3926,plain,
    ~ vertical_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_3914,c_170]) ).

tff(c_3939,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3910,c_3926,c_50]) ).

tff(c_3941,plain,
    horizontal_5_1,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_3973,plain,
    ~ horizontal_5_2,
    inference(demodulation,[status(thm),theory(equality)],[c_3941,c_216]) ).

tff(c_3982,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3908,c_3973,c_250,c_54]) ).

tff(c_3984,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_3989,plain,
    ~ vertical_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_3984,c_232]) ).

tff(c_3796,plain,
    ~ vertical_3_4,
    inference(splitLeft,[status(thm)],[c_156]) ).

tff(c_4062,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3795,c_3989,c_246,c_3796,c_46]) ).

tff(c_4063,plain,
    ~ vertical_2_4,
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_4264,plain,
    ~ horizontal_2_3,
    inference(splitLeft,[status(thm)],[c_110]) ).

tff(c_3794,plain,
    horizontal_1_4,
    inference(splitLeft,[status(thm)],[c_245]) ).

tff(c_4266,plain,
    ~ vertical_1_4,
    inference(demodulation,[status(thm),theory(equality)],[c_3794,c_62]) ).

tff(c_4384,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4065,c_4063,c_4264,c_4266,c_26]) ).

tff(c_4386,plain,
    horizontal_2_3,
    inference(splitRight,[status(thm)],[c_110]) ).

tff(c_4399,plain,
    horizontal_2_2,
    inference(splitLeft,[status(thm)],[c_244]) ).

tff(c_90,plain,
    ( ~ horizontal_2_2
    | ~ horizontal_2_3 ),
    inference(cnfTransformation,[status(thm)],[f_246]) ).

tff(c_4422,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4386,c_4399,c_90]) ).

tff(c_4423,plain,
    vertical_2_2,
    inference(splitRight,[status(thm)],[c_244]) ).

tff(c_128,plain,
    ( ~ vertical_2_2
    | ~ horizontal_3_2 ),
    inference(cnfTransformation,[status(thm)],[f_341]) ).

tff(c_4439,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3791,c_4423,c_128]) ).

tff(c_4441,plain,
    horizontal_2_4,
    inference(splitRight,[status(thm)],[c_102]) ).

tff(c_4935,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_4441,c_112]) ).

tff(c_5013,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4756,c_4869,c_4935,c_38]) ).

tff(c_5015,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_164]) ).

tff(c_4064,plain,
    vertical_3_4,
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_5043,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5015,c_4064,c_148]) ).

tff(c_5045,plain,
    vertical_3_5,
    inference(splitRight,[status(thm)],[c_162]) ).

tff(c_5069,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4746,c_5045,c_210]) ).

tff(c_5071,plain,
    horizontal_4_4,
    inference(splitRight,[status(thm)],[c_212]) ).

tff(c_5220,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5205,c_5071,c_208]) ).

tff(c_5222,plain,
    ~ horizontal_1_4,
    inference(splitRight,[status(thm)],[c_245]) ).

tff(c_5370,plain,
    vertical_1_5,
    inference(negUnitSimplification,[status(thm)],[c_5222,c_18]) ).

tff(c_5374,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_5370,c_114]) ).

tff(c_5390,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5227,c_5360,c_5374,c_38]) ).

tff(c_5392,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_164]) ).

tff(c_5223,plain,
    ~ horizontal_4_4,
    inference(splitLeft,[status(thm)],[c_212]) ).

tff(c_5229,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_222]) ).

tff(c_5230,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_5244,plain,
    vertical_4_1,
    inference(negUnitSimplification,[status(thm)],[c_5230,c_50]) ).

tff(c_5228,plain,
    vertical_3_1,
    inference(negUnitSimplification,[status(thm)],[c_3790,c_241]) ).

tff(c_5246,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5244,c_5228,c_170]) ).

tff(c_5248,plain,
    horizontal_5_1,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_5285,plain,
    ~ horizontal_5_2,
    inference(demodulation,[status(thm),theory(equality)],[c_5248,c_216]) ).

tff(c_5316,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5229,c_5285,c_250,c_54]) ).

tff(c_5318,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_5346,plain,
    ~ vertical_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_5318,c_232]) ).

tff(c_5393,plain,
    ~ vertical_3_4,
    inference(splitLeft,[status(thm)],[c_156]) ).

tff(c_5430,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5223,c_5346,c_246,c_5393,c_46]) ).

tff(c_5432,plain,
    vertical_3_4,
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_5441,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5392,c_5432,c_148]) ).

tff(c_5443,plain,
    vertical_3_5,
    inference(splitRight,[status(thm)],[c_160]) ).

tff(c_5564,plain,
    ~ vertical_4_5,
    inference(demodulation,[status(thm),theory(equality)],[c_5443,c_210]) ).

tff(c_5575,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5555,c_5564,c_58]) ).

tff(c_5577,plain,
    horizontal_5_4,
    inference(splitRight,[status(thm)],[c_234]) ).

tff(c_5447,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_222]) ).

tff(c_5471,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_5524,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5447,c_5471,c_250,c_54]) ).

tff(c_5526,plain,
    horizontal_5_2,
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_5534,plain,
    ~ horizontal_5_1,
    inference(demodulation,[status(thm),theory(equality)],[c_5526,c_216]) ).

tff(c_5543,plain,
    vertical_4_1,
    inference(negUnitSimplification,[status(thm)],[c_5534,c_50]) ).

tff(c_5448,plain,
    vertical_3_1,
    inference(negUnitSimplification,[status(thm)],[c_3790,c_241]) ).

tff(c_5550,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5543,c_5448,c_170]) ).

tff(c_5552,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_5579,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_5577,c_5552,c_228]) ).

tff(c_5581,plain,
    horizontal_4_4,
    inference(splitRight,[status(thm)],[c_212]) ).

tff(c_5735,plain,
    ~ vertical_4_5,
    inference(demodulation,[status(thm),theory(equality)],[c_5581,c_208]) ).

tff(c_5755,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5714,c_5735,c_58]) ).

tff(c_5756,plain,
    ~ vertical_3_1,
    inference(splitRight,[status(thm)],[c_170]) ).

tff(c_5762,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3790,c_5756,c_241]) ).

tff(c_5763,plain,
    ~ horizontal_4_2,
    inference(splitRight,[status(thm)],[c_190]) ).

tff(c_6343,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_6376,plain,
    vertical_4_1,
    inference(negUnitSimplification,[status(thm)],[c_6343,c_50]) ).

tff(c_5974,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_5765,plain,
    ~ horizontal_3_2,
    inference(splitLeft,[status(thm)],[c_126]) ).

tff(c_5910,plain,
    ~ vertical_2_3,
    inference(splitLeft,[status(thm)],[c_94]) ).

tff(c_5947,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_248,c_249,c_5765,c_5910,c_34]) ).

tff(c_5948,plain,
    ~ horizontal_2_2,
    inference(splitRight,[status(thm)],[c_94]) ).

tff(c_5766,plain,
    horizontal_3_1,
    inference(splitLeft,[status(thm)],[c_241]) ).

tff(c_5873,plain,
    ~ vertical_2_2,
    inference(demodulation,[status(thm),theory(equality)],[c_5766,c_134]) ).

tff(c_5968,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5948,c_5873,c_244]) ).

tff(c_5969,plain,
    vertical_3_1,
    inference(splitRight,[status(thm)],[c_241]) ).

tff(c_6002,plain,
    ~ vertical_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_5969,c_170]) ).

tff(c_6006,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5974,c_6002,c_50]) ).

tff(c_6007,plain,
    ~ vertical_4_2,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_168,plain,
    ( ~ vertical_3_1
    | ~ horizontal_4_1 ),
    inference(cnfTransformation,[status(thm)],[f_441]) ).

tff(c_6292,plain,
    ~ horizontal_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_5969,c_168]) ).

tff(c_6330,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5763,c_6007,c_6292,c_247,c_42]) ).

tff(c_6331,plain,
    ~ horizontal_3_1,
    inference(splitRight,[status(thm)],[c_126]) ).

tff(c_6333,plain,
    vertical_3_1,
    inference(negUnitSimplification,[status(thm)],[c_6331,c_241]) ).

tff(c_6392,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_6376,c_6333,c_170]) ).

tff(c_6393,plain,
    ~ vertical_4_2,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_6613,plain,
    ~ horizontal_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_6333,c_168]) ).

tff(c_6703,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_5763,c_6393,c_6613,c_247,c_42]) ).

tff(c_6705,plain,
    vertical_3_3,
    inference(splitRight,[status(thm)],[c_142]) ).

tff(c_194,plain,
    ( ~ vertical_3_3
    | ~ horizontal_4_2 ),
    inference(cnfTransformation,[status(thm)],[f_506]) ).

tff(c_8746,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8708,c_6705,c_194]) ).

tff(c_8748,plain,
    horizontal_5_1,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_8762,plain,
    ~ horizontal_5_2,
    inference(demodulation,[status(thm),theory(equality)],[c_8748,c_216]) ).

tff(c_8824,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8439,c_8762,c_8440,c_54]) ).

tff(c_8826,plain,
    vertical_4_3,
    inference(splitRight,[status(thm)],[c_190]) ).

tff(c_192,plain,
    ( ~ vertical_3_3
    | ~ vertical_4_3 ),
    inference(cnfTransformation,[status(thm)],[f_501]) ).

tff(c_8852,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8826,c_6705,c_192]) ).

tff(c_8854,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_232]) ).

tff(c_9019,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9017,c_8854,c_228]) ).

tff(c_9021,plain,
    vertical_4_5,
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_9026,plain,
    ~ horizontal_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_9021,c_208]) ).

tff(c_8853,plain,
    ~ vertical_4_4,
    inference(splitRight,[status(thm)],[c_232]) ).

tff(c_8905,plain,
    ~ horizontal_5_4,
    inference(demodulation,[status(thm),theory(equality)],[c_8854,c_228]) ).

tff(c_8885,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_8912,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8905,c_8885,c_58]) ).

tff(c_8913,plain,
    ~ vertical_3_5,
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_8855,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_148]) ).

tff(c_6710,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_232]) ).

tff(c_6969,plain,
    ~ horizontal_4_2,
    inference(demodulation,[status(thm),theory(equality)],[c_6705,c_194]) ).

tff(c_6913,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_6709,plain,
    ~ vertical_4_3,
    inference(splitLeft,[status(thm)],[c_190]) ).

tff(c_6953,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6710,c_6913,c_6709,c_54]) ).

tff(c_6954,plain,
    ~ vertical_4_2,
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_6711,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_6715,plain,
    ~ vertical_4_1,
    inference(splitLeft,[status(thm)],[c_170]) ).

tff(c_6726,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6711,c_6715,c_50]) ).

tff(c_6728,plain,
    vertical_4_1,
    inference(splitRight,[status(thm)],[c_170]) ).

tff(c_6771,plain,
    ~ horizontal_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_6728,c_166]) ).

tff(c_7012,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6969,c_6954,c_6771,c_247,c_42]) ).

tff(c_7014,plain,
    horizontal_5_1,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_7026,plain,
    ~ horizontal_5_2,
    inference(demodulation,[status(thm),theory(equality)],[c_7014,c_216]) ).

tff(c_7077,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6710,c_7026,c_6709,c_54]) ).

tff(c_7079,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_232]) ).

tff(c_7081,plain,
    ~ horizontal_5_4,
    inference(demodulation,[status(thm),theory(equality)],[c_7079,c_228]) ).

tff(c_8350,plain,
    vertical_4_5,
    inference(negUnitSimplification,[status(thm)],[c_7081,c_58]) ).

tff(c_8368,plain,
    ~ horizontal_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_8350,c_208]) ).

tff(c_7078,plain,
    ~ vertical_4_4,
    inference(splitRight,[status(thm)],[c_232]) ).

tff(c_7835,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_7840,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7081,c_7835,c_58]) ).

tff(c_7841,plain,
    ~ vertical_3_5,
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_7735,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_164]) ).

tff(c_7736,plain,
    ~ vertical_2_5,
    inference(splitLeft,[status(thm)],[c_114]) ).

tff(c_7858,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7841,c_7735,c_7736,c_38]) ).

tff(c_7860,plain,
    vertical_2_5,
    inference(splitRight,[status(thm)],[c_114]) ).

tff(c_8142,plain,
    ~ horizontal_2_4,
    inference(splitLeft,[status(thm)],[c_102]) ).

tff(c_7903,plain,
    ~ horizontal_4_4,
    inference(splitLeft,[status(thm)],[c_212]) ).

tff(c_7861,plain,
    ~ vertical_3_4,
    inference(splitLeft,[status(thm)],[c_156]) ).

tff(c_8058,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7903,c_7078,c_246,c_7861,c_46]) ).

tff(c_8060,plain,
    horizontal_4_4,
    inference(splitRight,[status(thm)],[c_212]) ).

tff(c_8099,plain,
    ~ vertical_4_5,
    inference(demodulation,[status(thm),theory(equality)],[c_8060,c_208]) ).

tff(c_8100,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7081,c_8099,c_58]) ).

tff(c_8101,plain,
    ~ vertical_2_4,
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_8175,plain,
    ~ horizontal_2_3,
    inference(splitLeft,[status(thm)],[c_90]) ).

tff(c_6708,plain,
    horizontal_1_4,
    inference(splitLeft,[status(thm)],[c_245]) ).

tff(c_8139,plain,
    ~ vertical_1_4,
    inference(demodulation,[status(thm),theory(equality)],[c_6708,c_62]) ).

tff(c_8209,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8142,c_8101,c_8175,c_8139,c_26]) ).

tff(c_8210,plain,
    ~ horizontal_2_2,
    inference(splitRight,[status(thm)],[c_90]) ).

tff(c_8117,plain,
    ~ horizontal_3_1,
    inference(splitLeft,[status(thm)],[c_118]) ).

tff(c_7636,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_7639,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7081,c_7636,c_58]) ).

tff(c_7641,plain,
    vertical_4_5,
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_200,plain,
    ( ~ vertical_3_4
    | ~ horizontal_4_4 ),
    inference(cnfTransformation,[status(thm)],[f_521]) ).

tff(c_7648,plain,
    ~ horizontal_4_4,
    inference(splitLeft,[status(thm)],[c_200]) ).

tff(c_7488,plain,
    vertical_4_5,
    inference(negUnitSimplification,[status(thm)],[c_7081,c_58]) ).

tff(c_7477,plain,
    vertical_4_5,
    inference(negUnitSimplification,[status(thm)],[c_7081,c_58]) ).

tff(c_7362,plain,
    ~ horizontal_4_4,
    inference(splitLeft,[status(thm)],[c_200]) ).

tff(c_7370,plain,
    ~ vertical_3_5,
    inference(splitLeft,[status(thm)],[c_160]) ).

tff(c_7403,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_148]) ).

tff(c_7267,plain,
    ~ vertical_2_5,
    inference(splitLeft,[status(thm)],[c_112]) ).

tff(c_7428,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7370,c_7403,c_7267,c_38]) ).

tff(c_7429,plain,
    ~ vertical_3_4,
    inference(splitRight,[status(thm)],[c_148]) ).

tff(c_7469,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7362,c_7078,c_246,c_7429,c_46]) ).

tff(c_7471,plain,
    vertical_3_5,
    inference(splitRight,[status(thm)],[c_160]) ).

tff(c_7485,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_7477,c_7471,c_210]) ).

tff(c_7487,plain,
    horizontal_4_4,
    inference(splitRight,[status(thm)],[c_200]) ).

tff(c_7525,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_7488,c_7487,c_208]) ).

tff(c_7526,plain,
    ~ horizontal_2_4,
    inference(splitRight,[status(thm)],[c_112]) ).

tff(c_108,plain,
    ( ~ vertical_1_4
    | ~ vertical_2_4 ),
    inference(cnfTransformation,[status(thm)],[f_291]) ).

tff(c_7533,plain,
    ~ vertical_2_4,
    inference(splitLeft,[status(thm)],[c_108]) ).

tff(c_7568,plain,
    ~ horizontal_2_3,
    inference(splitLeft,[status(thm)],[c_90]) ).

tff(c_7562,plain,
    ~ vertical_1_4,
    inference(demodulation,[status(thm),theory(equality)],[c_6708,c_62]) ).

tff(c_7611,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7526,c_7533,c_7568,c_7562,c_26]) ).

tff(c_7612,plain,
    ~ horizontal_2_2,
    inference(splitRight,[status(thm)],[c_90]) ).

tff(c_7218,plain,
    ~ horizontal_4_2,
    inference(demodulation,[status(thm),theory(equality)],[c_6705,c_194]) ).

tff(c_7089,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_7085,plain,
    ~ vertical_4_1,
    inference(splitLeft,[status(thm)],[c_170]) ).

tff(c_7099,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7089,c_7085,c_50]) ).

tff(c_7100,plain,
    ~ vertical_4_2,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_7084,plain,
    ~ horizontal_4_1,
    inference(splitLeft,[status(thm)],[c_166]) ).

tff(c_7264,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7218,c_7100,c_7084,c_247,c_42]) ).

tff(c_7265,plain,
    ~ vertical_3_1,
    inference(splitRight,[status(thm)],[c_170]) ).

tff(c_7536,plain,
    horizontal_3_1,
    inference(negUnitSimplification,[status(thm)],[c_7265,c_241]) ).

tff(c_7564,plain,
    ~ vertical_2_2,
    inference(demodulation,[status(thm),theory(equality)],[c_7536,c_134]) ).

tff(c_7630,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7612,c_7564,c_244]) ).

tff(c_7632,plain,
    vertical_2_4,
    inference(splitRight,[status(thm)],[c_108]) ).

tff(c_7652,plain,
    ~ vertical_3_4,
    inference(demodulation,[status(thm),theory(equality)],[c_7632,c_156]) ).

tff(c_7699,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7648,c_7078,c_246,c_7652,c_46]) ).

tff(c_7701,plain,
    horizontal_4_4,
    inference(splitRight,[status(thm)],[c_200]) ).

tff(c_7728,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_7641,c_7701,c_208]) ).

tff(c_7730,plain,
    horizontal_4_1,
    inference(splitRight,[status(thm)],[c_166]) ).

tff(c_8130,plain,
    ~ vertical_3_1,
    inference(demodulation,[status(thm),theory(equality)],[c_7730,c_168]) ).

tff(c_8135,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8117,c_8130,c_241]) ).

tff(c_8137,plain,
    horizontal_3_1,
    inference(splitRight,[status(thm)],[c_118]) ).

tff(c_8166,plain,
    ~ vertical_2_2,
    inference(demodulation,[status(thm),theory(equality)],[c_8137,c_134]) ).

tff(c_8222,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8210,c_8166,c_244]) ).

tff(c_8224,plain,
    horizontal_2_4,
    inference(splitRight,[status(thm)],[c_102]) ).

tff(c_8237,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_7860,c_8224,c_112]) ).

tff(c_8239,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_164]) ).

tff(c_8256,plain,
    ~ vertical_3_4,
    inference(demodulation,[status(thm),theory(equality)],[c_8239,c_148]) ).

tff(c_8398,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8368,c_7078,c_246,c_8256,c_46]) ).

tff(c_8400,plain,
    vertical_4_3,
    inference(splitRight,[status(thm)],[c_190]) ).

tff(c_8435,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_8400,c_6705,c_192]) ).

tff(c_8437,plain,
    ~ horizontal_1_4,
    inference(splitRight,[status(thm)],[c_245]) ).

tff(c_8438,plain,
    vertical_1_5,
    inference(negUnitSimplification,[status(thm)],[c_8437,c_18]) ).

tff(c_8928,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_8438,c_114]) ).

tff(c_8971,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8913,c_8855,c_8928,c_38]) ).

tff(c_8972,plain,
    ~ vertical_3_4,
    inference(splitRight,[status(thm)],[c_148]) ).

tff(c_9113,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9026,c_8853,c_246,c_8972,c_46]) ).

tff(c_9115,plain,
    horizontal_3_3,
    inference(splitRight,[status(thm)],[c_140]) ).

tff(c_158,plain,
    ( ~ vertical_2_4
    | ~ horizontal_3_3 ),
    inference(cnfTransformation,[status(thm)],[f_416]) ).

tff(c_9164,plain,
    ~ vertical_2_4,
    inference(demodulation,[status(thm),theory(equality)],[c_9115,c_158]) ).

tff(c_9117,plain,
    horizontal_2_2,
    inference(splitLeft,[status(thm)],[c_244]) ).

tff(c_9265,plain,
    ~ horizontal_2_3,
    inference(demodulation,[status(thm),theory(equality)],[c_9117,c_90]) ).

tff(c_9120,plain,
    horizontal_1_4,
    inference(splitLeft,[status(thm)],[c_245]) ).

tff(c_9267,plain,
    ~ vertical_1_4,
    inference(demodulation,[status(thm),theory(equality)],[c_9120,c_62]) ).

tff(c_9328,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9263,c_9164,c_9265,c_9267,c_26]) ).

tff(c_9330,plain,
    vertical_3_5,
    inference(splitRight,[status(thm)],[c_162]) ).

tff(c_9467,plain,
    ~ horizontal_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_9330,c_212]) ).

tff(c_9125,plain,
    ~ horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_228]) ).

tff(c_9123,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_9156,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9125,c_9123,c_58]) ).

tff(c_9158,plain,
    horizontal_5_4,
    inference(splitRight,[status(thm)],[c_228]) ).

tff(c_230,plain,
    ( ~ vertical_4_4
    | ~ horizontal_5_4 ),
    inference(cnfTransformation,[status(thm)],[f_596]) ).

tff(c_9387,plain,
    ~ vertical_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_9158,c_230]) ).

tff(c_9121,plain,
    ~ vertical_3_4,
    inference(splitLeft,[status(thm)],[c_156]) ).

tff(c_9494,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9467,c_9387,c_246,c_9121,c_46]) ).

tff(c_9496,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_164]) ).

tff(c_150,plain,
    ( ~ horizontal_3_3
    | ~ horizontal_3_4 ),
    inference(cnfTransformation,[status(thm)],[f_396]) ).

tff(c_9522,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9496,c_9115,c_150]) ).

tff(c_9523,plain,
    ~ vertical_3_5,
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_9670,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_164]) ).

tff(c_100,plain,
    ( ~ vertical_2_4
    | ~ horizontal_2_4 ),
    inference(cnfTransformation,[status(thm)],[f_271]) ).

tff(c_9532,plain,
    ~ horizontal_2_4,
    inference(splitLeft,[status(thm)],[c_100]) ).

tff(c_9583,plain,
    ~ vertical_2_4,
    inference(splitLeft,[status(thm)],[c_108]) ).

tff(c_9579,plain,
    ~ horizontal_2_3,
    inference(splitLeft,[status(thm)],[c_110]) ).

tff(c_9610,plain,
    ~ vertical_1_4,
    inference(demodulation,[status(thm),theory(equality)],[c_9120,c_62]) ).

tff(c_9636,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9532,c_9583,c_9579,c_9610,c_26]) ).

tff(c_9638,plain,
    vertical_2_4,
    inference(splitRight,[status(thm)],[c_108]) ).

tff(c_9653,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9115,c_9638,c_158]) ).

tff(c_9655,plain,
    horizontal_2_3,
    inference(splitRight,[status(thm)],[c_110]) ).

tff(c_9665,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9655,c_9117,c_90]) ).

tff(c_9667,plain,
    horizontal_2_4,
    inference(splitRight,[status(thm)],[c_100]) ).

tff(c_9750,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_9667,c_112]) ).

tff(c_9766,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9523,c_9670,c_9750,c_38]) ).

tff(c_9768,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_164]) ).

tff(c_9797,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9768,c_9115,c_150]) ).

tff(c_9799,plain,
    vertical_3_4,
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_154,plain,
    ( ~ horizontal_3_3
    | ~ vertical_3_4 ),
    inference(cnfTransformation,[status(thm)],[f_406]) ).

tff(c_9829,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9799,c_9115,c_154]) ).

tff(c_9831,plain,
    ~ horizontal_1_4,
    inference(splitRight,[status(thm)],[c_245]) ).

tff(c_9895,plain,
    vertical_1_5,
    inference(negUnitSimplification,[status(thm)],[c_9831,c_18]) ).

tff(c_9903,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_9895,c_114]) ).

tff(c_9907,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9838,c_9844,c_9903,c_38]) ).

tff(c_9909,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_164]) ).

tff(c_9920,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9909,c_9115,c_150]) ).

tff(c_9922,plain,
    vertical_3_5,
    inference(splitRight,[status(thm)],[c_162]) ).

tff(c_9981,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_9957,c_9922,c_210]) ).

tff(c_9983,plain,
    horizontal_5_4,
    inference(splitRight,[status(thm)],[c_228]) ).

tff(c_10173,plain,
    ~ vertical_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_9983,c_230]) ).

tff(c_9832,plain,
    ~ vertical_3_4,
    inference(splitLeft,[status(thm)],[c_156]) ).

tff(c_10203,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_9984,c_10173,c_246,c_9832,c_46]) ).

tff(c_10204,plain,
    ~ vertical_3_5,
    inference(splitRight,[status(thm)],[c_212]) ).

tff(c_10230,plain,
    ~ horizontal_3_4,
    inference(demodulation,[status(thm),theory(equality)],[c_9115,c_150]) ).

tff(c_10250,plain,
    vertical_1_5,
    inference(negUnitSimplification,[status(thm)],[c_9831,c_18]) ).

tff(c_10254,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_10250,c_114]) ).

tff(c_10270,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10204,c_10230,c_10254,c_38]) ).

tff(c_10272,plain,
    vertical_3_4,
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_10298,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10272,c_9115,c_154]) ).

tff(c_10299,plain,
    vertical_2_2,
    inference(splitRight,[status(thm)],[c_244]) ).

tff(c_10321,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10303,c_10299,c_134]) ).

tff(c_10322,plain,
    vertical_3_1,
    inference(splitRight,[status(thm)],[c_241]) ).

tff(c_10355,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10346,c_10322,c_170]) ).

tff(c_10357,plain,
    horizontal_5_1,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_10387,plain,
    ~ horizontal_5_2,
    inference(demodulation,[status(thm),theory(equality)],[c_10357,c_216]) ).

tff(c_10326,plain,
    ~ vertical_4_3,
    inference(splitLeft,[status(thm)],[c_190]) ).

tff(c_10436,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10324,c_10387,c_10326,c_54]) ).

tff(c_10437,plain,
    ~ horizontal_4_2,
    inference(splitRight,[status(thm)],[c_190]) ).

tff(c_10520,plain,
    horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_50]) ).

tff(c_10587,plain,
    ~ vertical_4_2,
    inference(demodulation,[status(thm),theory(equality)],[c_10520,c_220]) ).

tff(c_10591,plain,
    ~ horizontal_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_10322,c_168]) ).

tff(c_10617,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10437,c_10587,c_10591,c_247,c_42]) ).

tff(c_10618,plain,
    vertical_4_1,
    inference(splitRight,[status(thm)],[c_50]) ).

tff(c_10644,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10618,c_10322,c_170]) ).

tff(c_10646,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_232]) ).

tff(c_10649,plain,
    ~ horizontal_5_4,
    inference(demodulation,[status(thm),theory(equality)],[c_10646,c_228]) ).

tff(c_10872,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_10879,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10649,c_10872,c_58]) ).

tff(c_10881,plain,
    vertical_4_5,
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_10887,plain,
    ~ horizontal_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_10881,c_208]) ).

tff(c_10645,plain,
    ~ vertical_4_4,
    inference(splitRight,[status(thm)],[c_232]) ).

tff(c_10647,plain,
    ~ vertical_3_4,
    inference(splitLeft,[status(thm)],[c_156]) ).

tff(c_11000,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_10887,c_10645,c_246,c_10647,c_46]) ).

tff(c_11002,plain,
    vertical_3_4,
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_11066,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_11002,c_9115,c_154]) ).

tff(c_11068,plain,
    vertical_3_2,
    inference(splitRight,[status(thm)],[c_130]) ).

tff(c_11423,plain,
    horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_58]) ).

tff(c_11452,plain,
    ~ horizontal_5_3,
    inference(demodulation,[status(thm),theory(equality)],[c_11423,c_228]) ).

tff(c_11424,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_11437,plain,
    vertical_4_1,
    inference(negUnitSimplification,[status(thm)],[c_11424,c_50]) ).

tff(c_11067,plain,
    ~ horizontal_3_1,
    inference(splitRight,[status(thm)],[c_130]) ).

tff(c_11070,plain,
    vertical_3_1,
    inference(negUnitSimplification,[status(thm)],[c_11067,c_241]) ).

tff(c_11447,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_11437,c_11070,c_170]) ).

tff(c_11449,plain,
    horizontal_5_1,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_11470,plain,
    ~ horizontal_5_2,
    inference(demodulation,[status(thm),theory(equality)],[c_11449,c_216]) ).

tff(c_11072,plain,
    ~ vertical_4_3,
    inference(splitLeft,[status(thm)],[c_192]) ).

tff(c_11508,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_11452,c_11470,c_11072,c_54]) ).

tff(c_11509,plain,
    vertical_4_5,
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_11807,plain,
    ~ vertical_3_5,
    inference(demodulation,[status(thm),theory(equality)],[c_11509,c_210]) ).

tff(c_11076,plain,
    horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_58]) ).

tff(c_11078,plain,
    ~ horizontal_5_3,
    inference(demodulation,[status(thm),theory(equality)],[c_11076,c_228]) ).

tff(c_11088,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_11150,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_11078,c_11088,c_11072,c_54]) ).

tff(c_11152,plain,
    horizontal_5_2,
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_11161,plain,
    ~ horizontal_5_1,
    inference(demodulation,[status(thm),theory(equality)],[c_11152,c_216]) ).

tff(c_11175,plain,
    vertical_4_1,
    inference(negUnitSimplification,[status(thm)],[c_11161,c_50]) ).

tff(c_11182,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_11175,c_11070,c_170]) ).

tff(c_11183,plain,
    vertical_4_5,
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_11316,plain,
    ~ horizontal_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_11183,c_208]) ).

tff(c_11235,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_222]) ).

tff(c_11185,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_11205,plain,
    vertical_4_1,
    inference(negUnitSimplification,[status(thm)],[c_11185,c_50]) ).

tff(c_11227,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_11205,c_11070,c_170]) ).

tff(c_11229,plain,
    horizontal_5_1,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_11237,plain,
    ~ horizontal_5_2,
    inference(demodulation,[status(thm),theory(equality)],[c_11229,c_216]) ).

tff(c_11303,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_11235,c_11237,c_11072,c_54]) ).

tff(c_11305,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_11323,plain,
    ~ vertical_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_11305,c_232]) ).

tff(c_11075,plain,
    ~ vertical_3_4,
    inference(splitLeft,[status(thm)],[c_156]) ).

tff(c_11420,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_11316,c_11323,c_246,c_11075,c_46]) ).

tff(c_11422,plain,
    vertical_3_4,
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_11859,plain,
    ~ horizontal_3_4,
    inference(demodulation,[status(thm),theory(equality)],[c_11422,c_148]) ).

tff(c_11796,plain,
    ~ vertical_2_5,
    inference(splitLeft,[status(thm)],[c_112]) ).

tff(c_11882,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_11807,c_11859,c_11796,c_38]) ).

tff(c_11883,plain,
    ~ horizontal_2_4,
    inference(splitRight,[status(thm)],[c_112]) ).

tff(c_11421,plain,
    ~ vertical_2_4,
    inference(splitRight,[status(thm)],[c_156]) ).

tff(c_11889,plain,
    horizontal_2_2,
    inference(splitLeft,[status(thm)],[c_244]) ).

tff(c_11964,plain,
    ~ horizontal_2_3,
    inference(demodulation,[status(thm),theory(equality)],[c_11889,c_90]) ).

tff(c_11884,plain,
    vertical_2_5,
    inference(splitRight,[status(thm)],[c_112]) ).

tff(c_11909,plain,
    ~ horizontal_1_4,
    inference(splitLeft,[status(thm)],[c_62]) ).

tff(c_11915,plain,
    vertical_1_5,
    inference(negUnitSimplification,[status(thm)],[c_11909,c_18]) ).

tff(c_11947,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_11884,c_11915,c_114]) ).

tff(c_11948,plain,
    ~ vertical_1_4,
    inference(splitRight,[status(thm)],[c_62]) ).

tff(c_12002,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_11883,c_11421,c_11964,c_11948,c_26]) ).

tff(c_12003,plain,
    vertical_2_2,
    inference(splitRight,[status(thm)],[c_244]) ).

tff(c_132,plain,
    ( ~ vertical_2_2
    | ~ vertical_3_2 ),
    inference(cnfTransformation,[status(thm)],[f_351]) ).

tff(c_12039,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_11068,c_12003,c_132]) ).

tff(c_12040,plain,
    ~ vertical_3_3,
    inference(splitRight,[status(thm)],[c_192]) ).

tff(c_11071,plain,
    ~ horizontal_3_2,
    inference(splitLeft,[status(thm)],[c_128]) ).

tff(c_12074,plain,
    ~ vertical_2_2,
    inference(demodulation,[status(thm),theory(equality)],[c_11068,c_132]) ).

tff(c_12268,plain,
    horizontal_2_2,
    inference(negUnitSimplification,[status(thm)],[c_12074,c_244]) ).

tff(c_12274,plain,
    ~ vertical_2_3,
    inference(demodulation,[status(thm),theory(equality)],[c_12268,c_94]) ).

tff(c_12293,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_11069,c_12040,c_11071,c_12274,c_34]) ).

tff(c_12295,plain,
    horizontal_3_2,
    inference(splitRight,[status(thm)],[c_128]) ).

tff(c_124,plain,
    ( ~ vertical_3_2
    | ~ horizontal_3_2 ),
    inference(cnfTransformation,[status(thm)],[f_331]) ).

tff(c_12303,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_12295,c_11068,c_124]) ).

tff(c_12305,plain,
    horizontal_3_3,
    inference(splitRight,[status(thm)],[c_140]) ).

tff(c_196,plain,
    ( ~ vertical_4_4
    | ~ horizontal_4_4 ),
    inference(cnfTransformation,[status(thm)],[f_511]) ).

tff(c_12911,plain,
    ~ horizontal_4_4,
    inference(splitLeft,[status(thm)],[c_196]) ).

tff(c_12653,plain,
    horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_58]) ).

tff(c_12917,plain,
    ~ vertical_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_12653,c_230]) ).

tff(c_12961,plain,
    ~ vertical_3_4,
    inference(demodulation,[status(thm),theory(equality)],[c_12305,c_154]) ).

tff(c_13052,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_12911,c_12917,c_246,c_12961,c_46]) ).

tff(c_13054,plain,
    horizontal_4_4,
    inference(splitRight,[status(thm)],[c_196]) ).

tff(c_13106,plain,
    ~ vertical_3_5,
    inference(splitLeft,[status(thm)],[c_160]) ).

tff(c_13113,plain,
    ~ horizontal_3_4,
    inference(demodulation,[status(thm),theory(equality)],[c_12305,c_150]) ).

tff(c_13133,plain,
    ~ vertical_2_5,
    inference(splitLeft,[status(thm)],[c_114]) ).

tff(c_13141,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13106,c_13113,c_13133,c_38]) ).

tff(c_13142,plain,
    ~ vertical_1_5,
    inference(splitRight,[status(thm)],[c_114]) ).

tff(c_12309,plain,
    ~ horizontal_2_4,
    inference(splitLeft,[status(thm)],[c_102]) ).

tff(c_12798,plain,
    ~ vertical_2_4,
    inference(demodulation,[status(thm),theory(equality)],[c_12305,c_158]) ).

tff(c_12854,plain,
    ~ horizontal_2_3,
    inference(splitLeft,[status(thm)],[c_90]) ).

tff(c_12662,plain,
    horizontal_1_4,
    inference(splitLeft,[status(thm)],[c_245]) ).

tff(c_12881,plain,
    ~ vertical_1_4,
    inference(demodulation,[status(thm),theory(equality)],[c_12662,c_62]) ).

tff(c_12899,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_12309,c_12798,c_12854,c_12881,c_26]) ).

tff(c_12900,plain,
    ~ horizontal_2_2,
    inference(splitRight,[status(thm)],[c_90]) ).

tff(c_12311,plain,
    ~ vertical_2_2,
    inference(demodulation,[status(thm),theory(equality)],[c_11068,c_132]) ).

tff(c_12908,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_12900,c_12311,c_244]) ).

tff(c_12910,plain,
    ~ horizontal_1_4,
    inference(splitRight,[status(thm)],[c_245]) ).

tff(c_13144,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13142,c_12910,c_18]) ).

tff(c_13146,plain,
    vertical_3_5,
    inference(splitRight,[status(thm)],[c_160]) ).

tff(c_13149,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_13054,c_13146,c_212]) ).

tff(c_13150,plain,
    vertical_4_5,
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_13339,plain,
    ~ vertical_3_5,
    inference(demodulation,[status(thm),theory(equality)],[c_13150,c_210]) ).

tff(c_13206,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_164]) ).

tff(c_13210,plain,
    ~ vertical_2_5,
    inference(splitLeft,[status(thm)],[c_114]) ).

tff(c_13357,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13339,c_13206,c_13210,c_38]) ).

tff(c_13358,plain,
    ~ vertical_1_5,
    inference(splitRight,[status(thm)],[c_114]) ).

tff(c_13431,plain,
    ~ vertical_2_4,
    inference(splitLeft,[status(thm)],[c_108]) ).

tff(c_13463,plain,
    horizontal_2_2,
    inference(negUnitSimplification,[status(thm)],[c_12311,c_244]) ).

tff(c_13465,plain,
    ~ horizontal_2_3,
    inference(demodulation,[status(thm),theory(equality)],[c_13463,c_90]) ).

tff(c_13436,plain,
    horizontal_1_4,
    inference(splitLeft,[status(thm)],[c_245]) ).

tff(c_13438,plain,
    ~ vertical_1_4,
    inference(demodulation,[status(thm),theory(equality)],[c_13436,c_62]) ).

tff(c_13496,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_12309,c_13431,c_13465,c_13438,c_26]) ).

tff(c_13498,plain,
    ~ horizontal_1_4,
    inference(splitRight,[status(thm)],[c_245]) ).

tff(c_13520,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13358,c_13498,c_18]) ).

tff(c_13522,plain,
    vertical_2_4,
    inference(splitRight,[status(thm)],[c_108]) ).

tff(c_13558,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_12305,c_13522,c_158]) ).

tff(c_13560,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_164]) ).

tff(c_13605,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_13560,c_12305,c_150]) ).

tff(c_13607,plain,
    horizontal_2_4,
    inference(splitRight,[status(thm)],[c_102]) ).

tff(c_14103,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_13607,c_112]) ).

tff(c_14140,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14094,c_14097,c_14103,c_38]) ).

tff(c_14142,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_164]) ).

tff(c_14179,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_14142,c_12305,c_150]) ).

tff(c_14181,plain,
    vertical_3_5,
    inference(splitRight,[status(thm)],[c_160]) ).

tff(c_14208,plain,
    ~ horizontal_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_14181,c_212]) ).

tff(c_13891,plain,
    ~ horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_228]) ).

tff(c_13910,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_13946,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13891,c_13910,c_58]) ).

tff(c_13947,plain,
    ~ vertical_3_5,
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_13963,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_148]) ).

tff(c_14013,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_13607,c_112]) ).

tff(c_14030,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13947,c_13963,c_14013,c_38]) ).

tff(c_14032,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_148]) ).

tff(c_14049,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_14032,c_12305,c_150]) ).

tff(c_14051,plain,
    horizontal_5_4,
    inference(splitRight,[status(thm)],[c_228]) ).

tff(c_14070,plain,
    ~ vertical_4_4,
    inference(demodulation,[status(thm),theory(equality)],[c_14051,c_230]) ).

tff(c_14074,plain,
    ~ vertical_3_4,
    inference(demodulation,[status(thm),theory(equality)],[c_12305,c_154]) ).

tff(c_14247,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14208,c_14070,c_246,c_14074,c_46]) ).

tff(c_14249,plain,
    horizontal_4_3,
    inference(splitRight,[status(thm)],[c_188]) ).

tff(c_186,plain,
    ( ~ horizontal_4_2
    | ~ horizontal_4_3 ),
    inference(cnfTransformation,[status(thm)],[f_486]) ).

tff(c_17331,plain,
    ~ horizontal_4_2,
    inference(demodulation,[status(thm),theory(equality)],[c_14249,c_186]) ).

tff(c_14252,plain,
    ~ horizontal_4_2,
    inference(splitLeft,[status(thm)],[c_174]) ).

tff(c_15998,plain,
    horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_58]) ).

tff(c_16078,plain,
    ~ horizontal_5_3,
    inference(demodulation,[status(thm),theory(equality)],[c_15998,c_228]) ).

tff(c_16209,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_216]) ).

tff(c_184,plain,
    ( ~ vertical_4_3
    | ~ horizontal_4_3 ),
    inference(cnfTransformation,[status(thm)],[f_481]) ).

tff(c_16001,plain,
    ~ vertical_4_3,
    inference(demodulation,[status(thm),theory(equality)],[c_14249,c_184]) ).

tff(c_16296,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_16078,c_16209,c_16001,c_54]) ).

tff(c_16298,plain,
    horizontal_5_2,
    inference(splitRight,[status(thm)],[c_216]) ).

tff(c_16302,plain,
    ~ vertical_4_2,
    inference(demodulation,[status(thm),theory(equality)],[c_16298,c_218]) ).

tff(c_16008,plain,
    ~ horizontal_5_3,
    inference(splitLeft,[status(thm)],[c_222]) ).

tff(c_16010,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_16049,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_16008,c_16010,c_16001,c_54]) ).

tff(c_16051,plain,
    horizontal_5_2,
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_16053,plain,
    ~ horizontal_5_1,
    inference(demodulation,[status(thm),theory(equality)],[c_16051,c_216]) ).

tff(c_16005,plain,
    ~ vertical_4_1,
    inference(splitLeft,[status(thm)],[c_170]) ).

tff(c_16062,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_16053,c_16005,c_50]) ).

tff(c_16064,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_222]) ).

tff(c_16074,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_15998,c_16064,c_228]) ).

tff(c_16076,plain,
    vertical_4_1,
    inference(splitRight,[status(thm)],[c_170]) ).

tff(c_16082,plain,
    ~ horizontal_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_16076,c_166]) ).

tff(c_14250,plain,
    ~ vertical_3_2,
    inference(splitLeft,[status(thm)],[c_130]) ).

tff(c_16385,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14252,c_16302,c_16082,c_14250,c_42]) ).

tff(c_16386,plain,
    vertical_4_5,
    inference(splitRight,[status(thm)],[c_58]) ).

tff(c_16582,plain,
    ~ vertical_3_5,
    inference(demodulation,[status(thm),theory(equality)],[c_16386,c_210]) ).

tff(c_15997,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_148]) ).

tff(c_104,plain,
    ( ~ vertical_1_4
    | ~ horizontal_2_4 ),
    inference(cnfTransformation,[status(thm)],[f_281]) ).

tff(c_16396,plain,
    ~ horizontal_2_4,
    inference(splitLeft,[status(thm)],[c_104]) ).

tff(c_15385,plain,
    ~ horizontal_3_1,
    inference(splitLeft,[status(thm)],[c_118]) ).

tff(c_14255,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_14259,plain,
    ~ vertical_4_1,
    inference(splitLeft,[status(thm)],[c_170]) ).

tff(c_14269,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14255,c_14259,c_50]) ).

tff(c_14270,plain,
    ~ vertical_3_1,
    inference(splitRight,[status(thm)],[c_170]) ).

tff(c_14665,plain,
    horizontal_3_1,
    inference(negUnitSimplification,[status(thm)],[c_14270,c_241]) ).

tff(c_14253,plain,
    ~ horizontal_3_3,
    inference(splitLeft,[status(thm)],[c_140]) ).

tff(c_14248,plain,
    ~ vertical_3_3,
    inference(splitRight,[status(thm)],[c_188]) ).

tff(c_14251,plain,
    ~ horizontal_3_2,
    inference(splitLeft,[status(thm)],[c_128]) ).

tff(c_14666,plain,
    ~ vertical_2_3,
    inference(splitLeft,[status(thm)],[c_94]) ).

tff(c_14837,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14253,c_14248,c_14251,c_14666,c_34]) ).

tff(c_14838,plain,
    ~ horizontal_2_2,
    inference(splitRight,[status(thm)],[c_94]) ).

tff(c_14849,plain,
    vertical_2_2,
    inference(negUnitSimplification,[status(thm)],[c_14838,c_244]) ).

tff(c_14857,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_14665,c_14849,c_134]) ).

tff(c_14858,plain,
    ~ vertical_4_2,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_15424,plain,
    ~ horizontal_4_1,
    inference(splitLeft,[status(thm)],[c_168]) ).

tff(c_15482,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14252,c_14858,c_15424,c_14250,c_42]) ).

tff(c_15483,plain,
    ~ vertical_3_1,
    inference(splitRight,[status(thm)],[c_168]) ).

tff(c_15496,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_15385,c_15483,c_241]) ).

tff(c_15498,plain,
    horizontal_3_1,
    inference(splitRight,[status(thm)],[c_118]) ).

tff(c_14861,plain,
    horizontal_2_2,
    inference(splitLeft,[status(thm)],[c_244]) ).

tff(c_15111,plain,
    ~ vertical_2_3,
    inference(demodulation,[status(thm),theory(equality)],[c_14861,c_94]) ).

tff(c_15166,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14253,c_14248,c_14251,c_15111,c_34]) ).

tff(c_15167,plain,
    vertical_2_2,
    inference(splitRight,[status(thm)],[c_244]) ).

tff(c_15521,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_15498,c_15167,c_134]) ).

tff(c_15523,plain,
    horizontal_3_3,
    inference(splitRight,[status(thm)],[c_140]) ).

tff(c_16457,plain,
    ~ vertical_2_4,
    inference(demodulation,[status(thm),theory(equality)],[c_15523,c_158]) ).

tff(c_16388,plain,
    ~ horizontal_2_3,
    inference(splitLeft,[status(thm)],[c_90]) ).

tff(c_15798,plain,
    ~ horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_228]) ).

tff(c_15799,plain,
    vertical_4_5,
    inference(negUnitSimplification,[status(thm)],[c_15798,c_58]) ).

tff(c_15808,plain,
    ~ vertical_3_5,
    inference(demodulation,[status(thm),theory(equality)],[c_15799,c_210]) ).

tff(c_15527,plain,
    ~ horizontal_3_4,
    inference(demodulation,[status(thm),theory(equality)],[c_15523,c_150]) ).

tff(c_15802,plain,
    ~ vertical_2_5,
    inference(splitLeft,[status(thm)],[c_112]) ).

tff(c_15857,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_15808,c_15527,c_15802,c_38]) ).

tff(c_15859,plain,
    vertical_2_5,
    inference(splitRight,[status(thm)],[c_112]) ).

tff(c_15524,plain,
    vertical_1_5,
    inference(splitLeft,[status(thm)],[c_18]) ).

tff(c_15889,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_15859,c_15524,c_114]) ).

tff(c_15890,plain,
    ~ horizontal_5_3,
    inference(splitRight,[status(thm)],[c_228]) ).

tff(c_226,plain,
    ( ~ vertical_4_3
    | ~ horizontal_5_2 ),
    inference(cnfTransformation,[status(thm)],[f_586]) ).

tff(c_15898,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_226]) ).

tff(c_15939,plain,
    ~ vertical_4_3,
    inference(demodulation,[status(thm),theory(equality)],[c_14249,c_184]) ).

tff(c_15967,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_15890,c_15898,c_15939,c_54]) ).

tff(c_15969,plain,
    horizontal_5_2,
    inference(splitRight,[status(thm)],[c_226]) ).

tff(c_15530,plain,
    ~ horizontal_5_4,
    inference(splitLeft,[status(thm)],[c_228]) ).

tff(c_15554,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_15597,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_15530,c_15554,c_58]) ).

tff(c_15598,plain,
    ~ vertical_3_5,
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_15604,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_15524,c_114]) ).

tff(c_15643,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_15598,c_15527,c_15604,c_38]) ).

tff(c_15644,plain,
    ~ horizontal_5_3,
    inference(splitRight,[status(thm)],[c_228]) ).

tff(c_15684,plain,
    ~ horizontal_5_2,
    inference(splitLeft,[status(thm)],[c_218]) ).

tff(c_15705,plain,
    ~ vertical_4_3,
    inference(demodulation,[status(thm),theory(equality)],[c_14249,c_184]) ).

tff(c_15726,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_15644,c_15684,c_15705,c_54]) ).

tff(c_15727,plain,
    ~ vertical_4_2,
    inference(splitRight,[status(thm)],[c_218]) ).

tff(c_15529,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_15652,plain,
    ~ vertical_4_1,
    inference(splitLeft,[status(thm)],[c_170]) ).

tff(c_15663,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_15529,c_15652,c_50]) ).

tff(c_15665,plain,
    vertical_4_1,
    inference(splitRight,[status(thm)],[c_170]) ).

tff(c_15763,plain,
    ~ horizontal_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_15665,c_166]) ).

tff(c_15795,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14252,c_15727,c_15763,c_14250,c_42]) ).

tff(c_15797,plain,
    horizontal_5_1,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_15993,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_15969,c_15797,c_216]) ).

tff(c_15994,plain,
    horizontal_1_4,
    inference(splitRight,[status(thm)],[c_18]) ).

tff(c_16401,plain,
    ~ vertical_1_4,
    inference(demodulation,[status(thm),theory(equality)],[c_15994,c_62]) ).

tff(c_16500,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_16396,c_16457,c_16388,c_16401,c_26]) ).

tff(c_16502,plain,
    horizontal_2_4,
    inference(splitRight,[status(thm)],[c_104]) ).

tff(c_16592,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_16502,c_112]) ).

tff(c_16610,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_16582,c_15997,c_16592,c_38]) ).

tff(c_16611,plain,
    ~ horizontal_2_2,
    inference(splitRight,[status(thm)],[c_90]) ).

tff(c_16613,plain,
    horizontal_3_1,
    inference(splitLeft,[status(thm)],[c_241]) ).

tff(c_16660,plain,
    ~ vertical_2_2,
    inference(demodulation,[status(thm),theory(equality)],[c_16613,c_134]) ).

tff(c_16661,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_16611,c_16660,c_244]) ).

tff(c_16662,plain,
    vertical_3_1,
    inference(splitRight,[status(thm)],[c_241]) ).

tff(c_16671,plain,
    ~ vertical_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_16662,c_170]) ).

tff(c_16751,plain,
    horizontal_5_1,
    inference(negUnitSimplification,[status(thm)],[c_16671,c_50]) ).

tff(c_16756,plain,
    ~ vertical_4_2,
    inference(demodulation,[status(thm),theory(equality)],[c_16751,c_220]) ).

tff(c_16782,plain,
    ~ horizontal_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_16662,c_168]) ).

tff(c_16816,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14252,c_16756,c_16782,c_14250,c_42]) ).

tff(c_16818,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_148]) ).

tff(c_16846,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_16818,c_15523,c_150]) ).

tff(c_16848,plain,
    horizontal_4_2,
    inference(splitRight,[status(thm)],[c_174]) ).

tff(c_16925,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_14249,c_16848,c_186]) ).

tff(c_16927,plain,
    horizontal_3_2,
    inference(splitRight,[status(thm)],[c_128]) ).

tff(c_16929,plain,
    ~ horizontal_3_1,
    inference(demodulation,[status(thm),theory(equality)],[c_16927,c_126]) ).

tff(c_17163,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_17166,plain,
    ~ vertical_4_1,
    inference(splitLeft,[status(thm)],[c_170]) ).

tff(c_17180,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17163,c_17166,c_50]) ).

tff(c_17181,plain,
    ~ vertical_3_1,
    inference(splitRight,[status(thm)],[c_170]) ).

tff(c_17195,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_16929,c_17181,c_241]) ).

tff(c_17196,plain,
    ~ vertical_4_2,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_17301,plain,
    vertical_3_1,
    inference(negUnitSimplification,[status(thm)],[c_16929,c_241]) ).

tff(c_17311,plain,
    ~ horizontal_4_1,
    inference(demodulation,[status(thm),theory(equality)],[c_17301,c_168]) ).

tff(c_17376,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17331,c_17196,c_17311,c_14250,c_42]) ).

tff(c_17377,plain,
    ~ horizontal_3_1,
    inference(splitRight,[status(thm)],[c_130]) ).

tff(c_17389,plain,
    ~ horizontal_5_1,
    inference(splitLeft,[status(thm)],[c_220]) ).

tff(c_17390,plain,
    ~ vertical_4_1,
    inference(splitLeft,[status(thm)],[c_170]) ).

tff(c_17406,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17389,c_17390,c_50]) ).

tff(c_17407,plain,
    ~ vertical_3_1,
    inference(splitRight,[status(thm)],[c_170]) ).

tff(c_17443,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17377,c_17407,c_241]) ).

tff(c_17445,plain,
    horizontal_5_1,
    inference(splitRight,[status(thm)],[c_220]) ).

tff(c_17461,plain,
    ~ horizontal_5_2,
    inference(demodulation,[status(thm),theory(equality)],[c_17445,c_216]) ).

tff(c_17515,plain,
    ~ vertical_4_3,
    inference(demodulation,[status(thm),theory(equality)],[c_14249,c_184]) ).

tff(c_17536,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17385,c_17461,c_17515,c_54]) ).

tff(c_17538,plain,
    horizontal_5_3,
    inference(splitRight,[status(thm)],[c_232]) ).

tff(c_17741,plain,
    ~ horizontal_5_4,
    inference(demodulation,[status(thm),theory(equality)],[c_17538,c_228]) ).

tff(c_17718,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_17745,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17741,c_17718,c_58]) ).

tff(c_17746,plain,
    ~ vertical_3_5,
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_17715,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_164]) ).

tff(c_17757,plain,
    ~ horizontal_2_4,
    inference(splitLeft,[status(thm)],[c_100]) ).

tff(c_17766,plain,
    ~ vertical_2_4,
    inference(splitLeft,[status(thm)],[c_108]) ).

tff(c_17378,plain,
    vertical_3_2,
    inference(splitRight,[status(thm)],[c_130]) ).

tff(c_17710,plain,
    ~ vertical_2_2,
    inference(demodulation,[status(thm),theory(equality)],[c_17378,c_132]) ).

tff(c_17714,plain,
    horizontal_2_2,
    inference(negUnitSimplification,[status(thm)],[c_17710,c_244]) ).

tff(c_17764,plain,
    ~ horizontal_2_3,
    inference(demodulation,[status(thm),theory(equality)],[c_17714,c_90]) ).

tff(c_17549,plain,
    ~ vertical_4_5,
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_17571,plain,
    horizontal_5_4,
    inference(negUnitSimplification,[status(thm)],[c_17549,c_58]) ).

tff(c_17578,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_17571,c_17538,c_228]) ).

tff(c_17579,plain,
    ~ vertical_3_5,
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_152,plain,
    ( ~ vertical_2_4
    | ~ horizontal_3_4 ),
    inference(cnfTransformation,[status(thm)],[f_401]) ).

tff(c_17596,plain,
    ~ horizontal_3_4,
    inference(splitLeft,[status(thm)],[c_152]) ).

tff(c_17539,plain,
    vertical_1_5,
    inference(splitLeft,[status(thm)],[c_18]) ).

tff(c_17600,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_17539,c_114]) ).

tff(c_17644,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17579,c_17596,c_17600,c_38]) ).

tff(c_17646,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_152]) ).

tff(c_17672,plain,
    ~ horizontal_3_3,
    inference(demodulation,[status(thm),theory(equality)],[c_17646,c_150]) ).

tff(c_17382,plain,
    ~ horizontal_3_2,
    inference(splitLeft,[status(thm)],[c_128]) ).

tff(c_17541,plain,
    ~ vertical_2_2,
    inference(demodulation,[status(thm),theory(equality)],[c_17378,c_132]) ).

tff(c_17545,plain,
    horizontal_2_2,
    inference(negUnitSimplification,[status(thm)],[c_17541,c_244]) ).

tff(c_17593,plain,
    ~ vertical_2_3,
    inference(demodulation,[status(thm),theory(equality)],[c_17545,c_94]) ).

tff(c_17706,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17672,c_14248,c_17382,c_17593,c_34]) ).

tff(c_17707,plain,
    horizontal_1_4,
    inference(splitRight,[status(thm)],[c_18]) ).

tff(c_17774,plain,
    ~ vertical_1_4,
    inference(demodulation,[status(thm),theory(equality)],[c_17707,c_62]) ).

tff(c_17813,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17757,c_17766,c_17764,c_17774,c_26]) ).

tff(c_17815,plain,
    vertical_2_4,
    inference(splitRight,[status(thm)],[c_108]) ).

tff(c_17823,plain,
    ~ horizontal_3_3,
    inference(demodulation,[status(thm),theory(equality)],[c_17815,c_158]) ).

tff(c_17717,plain,
    ~ vertical_2_3,
    inference(demodulation,[status(thm),theory(equality)],[c_17714,c_94]) ).

tff(c_17863,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17823,c_14248,c_17382,c_17717,c_34]) ).

tff(c_17865,plain,
    horizontal_2_4,
    inference(splitRight,[status(thm)],[c_100]) ).

tff(c_17890,plain,
    ~ vertical_2_5,
    inference(demodulation,[status(thm),theory(equality)],[c_17865,c_112]) ).

tff(c_17916,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17746,c_17715,c_17890,c_38]) ).

tff(c_17918,plain,
    horizontal_3_4,
    inference(splitRight,[status(thm)],[c_164]) ).

tff(c_17967,plain,
    ~ horizontal_3_3,
    inference(splitLeft,[status(thm)],[c_158]) ).

tff(c_18039,plain,
    ~ vertical_2_3,
    inference(demodulation,[status(thm),theory(equality)],[c_17714,c_94]) ).

tff(c_18095,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_17967,c_14248,c_17382,c_18039,c_34]) ).

tff(c_18097,plain,
    horizontal_3_3,
    inference(splitRight,[status(thm)],[c_158]) ).

tff(c_18119,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_17918,c_18097,c_150]) ).

tff(c_18121,plain,
    horizontal_3_2,
    inference(splitRight,[status(thm)],[c_128]) ).

tff(c_18123,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_18121,c_17378,c_124]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PUZ016-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35  % Computer : n027.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 17:59:08 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 10.43/3.64  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.70/3.73  
% 10.70/3.73  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.10/3.82  
% 11.10/3.82  Inference rules
% 11.10/3.82  ----------------------
% 11.10/3.82  #Ref     : 0
% 11.10/3.82  #Sup     : 0
% 11.10/3.82  #Fact    : 0
% 11.10/3.82  #Define  : 0
% 11.10/3.82  #Split   : 1910
% 11.10/3.82  #Chain   : 0
% 11.10/3.82  #Close   : 0
% 11.10/3.82  
% 11.10/3.82  Ordering : KBO
% 11.10/3.82  
% 11.10/3.82  Simplification rules
% 11.10/3.82  ----------------------
% 11.10/3.82  #Subsume      : 13501
% 11.10/3.82  #Demod        : 7138
% 11.10/3.82  #Tautology    : 1636
% 11.10/3.82  #SimpNegUnit  : 2575
% 11.10/3.82  #BackRed      : 0
% 11.10/3.82  
% 11.10/3.82  #Partial instantiations: 0
% 11.10/3.82  #Strategies tried      : 1
% 11.10/3.82  
% 11.10/3.82  Timing (in seconds)
% 11.10/3.82  ----------------------
% 11.10/3.82  Preprocessing        : 0.53
% 11.10/3.82  Parsing              : 0.27
% 11.10/3.82  CNF conversion       : 0.03
% 11.10/3.82  Main loop            : 2.09
% 11.10/3.82  Inferencing          : 0.44
% 11.10/3.82  Reduction            : 0.75
% 11.10/3.82  Demodulation         : 0.44
% 11.10/3.82  BG Simplification    : 0.05
% 11.10/3.82  Subsumption          : 0.42
% 11.10/3.82  Abstraction          : 0.04
% 11.10/3.82  MUC search           : 0.00
% 11.10/3.82  Cooper               : 0.00
% 11.10/3.82  Total                : 2.81
% 11.10/3.82  Index Insertion      : 0.00
% 11.10/3.82  Index Deletion       : 0.00
% 11.10/3.83  Index Matching       : 0.00
% 11.10/3.83  BG Taut test         : 0.00
%------------------------------------------------------------------------------