TSTP Solution File: SYN445+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SYN445+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 04:53:22 EDT 2022
% Result : Theorem 16.01s 3.43s
% Output : CNFRefutation 16.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 95
% Syntax : Number of formulae : 333 ( 5 unt; 0 def)
% Number of atoms : 1215 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1428 ( 546 ~; 857 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 46 ( 45 usr; 42 prp; 0-1 aty)
% Number of functors : 15 ( 15 usr; 15 con; 0-0 aty)
% Number of variables : 144 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_116,negated_conjecture,
( ndr1_0
| ~ hskp16 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_116) ).
cnf(i_0_2,negated_conjecture,
( hskp16
| hskp26 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_2) ).
cnf(i_0_76,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_76) ).
cnf(i_0_21,negated_conjecture,
( hskp21
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_21) ).
cnf(i_0_95,negated_conjecture,
( c3_1(a336)
| ~ hskp21 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_95) ).
cnf(i_0_94,negated_conjecture,
( ~ hskp21
| ~ c0_1(a336) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_94) ).
cnf(i_0_93,negated_conjecture,
( ~ hskp21
| ~ c1_1(a336) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_93) ).
cnf(i_0_75,negated_conjecture,
( c0_1(a349)
| ~ hskp26 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_75) ).
cnf(i_0_74,negated_conjecture,
( ~ hskp26
| ~ c2_1(a349) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_74) ).
cnf(i_0_73,negated_conjecture,
( ~ hskp26
| ~ c3_1(a349) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_73) ).
cnf(i_0_179,negated_conjecture,
( ~ hskp0
| ~ c0_1(a294) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_179) ).
cnf(i_0_178,negated_conjecture,
( ~ hskp0
| ~ c2_1(a294) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_178) ).
cnf(i_0_130,negated_conjecture,
( ~ hskp12
| ~ c0_1(a310) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_130) ).
cnf(i_0_129,negated_conjecture,
( ~ hskp12
| ~ c2_1(a310) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_129) ).
cnf(i_0_131,negated_conjecture,
( c3_1(a310)
| ~ hskp12 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_131) ).
cnf(i_0_177,negated_conjecture,
( ~ hskp0
| ~ c3_1(a294) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_177) ).
cnf(i_0_114,negated_conjecture,
( c3_1(a321)
| ~ hskp16 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_114) ).
cnf(i_0_115,negated_conjecture,
( c2_1(a321)
| ~ hskp16 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_115) ).
cnf(i_0_113,negated_conjecture,
( ~ hskp16
| ~ c1_1(a321) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_113) ).
cnf(i_0_3,negated_conjecture,
( hskp11
| hskp12
| hskp26 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_3) ).
cnf(i_0_134,negated_conjecture,
( c3_1(a309)
| ~ hskp11 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_134) ).
cnf(i_0_135,negated_conjecture,
( c1_1(a309)
| ~ hskp11 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_135) ).
cnf(i_0_133,negated_conjecture,
( ~ hskp11
| ~ c2_1(a309) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_133) ).
cnf(i_0_31,negated_conjecture,
( hskp16
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_31) ).
cnf(i_0_17,negated_conjecture,
( c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_17) ).
cnf(i_0_50,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_50) ).
cnf(i_0_52,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_52) ).
cnf(i_0_53,negated_conjecture,
( hskp1
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_53) ).
cnf(i_0_41,negated_conjecture,
( hskp10
| hskp11
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_41) ).
cnf(i_0_151,negated_conjecture,
( c0_1(a303)
| ~ hskp7 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_151) ).
cnf(i_0_150,negated_conjecture,
( c1_1(a303)
| ~ hskp7 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_150) ).
cnf(i_0_149,negated_conjecture,
( ~ hskp7
| ~ c2_1(a303) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_149) ).
cnf(i_0_138,negated_conjecture,
( c3_1(a308)
| ~ hskp10 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_138) ).
cnf(i_0_139,negated_conjecture,
( c1_1(a308)
| ~ hskp10 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_139) ).
cnf(i_0_137,negated_conjecture,
( ~ hskp10
| ~ c0_1(a308) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_137) ).
cnf(i_0_38,negated_conjecture,
( hskp12
| c0_1(X1)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_38) ).
cnf(i_0_57,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_57) ).
cnf(i_0_23,negated_conjecture,
( hskp11
| hskp20
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_23) ).
cnf(i_0_89,negated_conjecture,
( ~ hskp22
| ~ c3_1(a338) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_89) ).
cnf(i_0_90,negated_conjecture,
( ~ hskp22
| ~ c2_1(a338) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_90) ).
cnf(i_0_170,negated_conjecture,
( ~ hskp2
| ~ c0_1(a297) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_170) ).
cnf(i_0_171,negated_conjecture,
( c1_1(a297)
| ~ hskp2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_171) ).
cnf(i_0_51,negated_conjecture,
( hskp0
| hskp2
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_51) ).
cnf(i_0_35,negated_conjecture,
( hskp0
| hskp14
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_35) ).
cnf(i_0_18,negated_conjecture,
( hskp22
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_18) ).
cnf(i_0_169,negated_conjecture,
( ~ hskp2
| ~ c3_1(a297) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_169) ).
cnf(i_0_99,negated_conjecture,
( c1_1(a333)
| ~ hskp20 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_99) ).
cnf(i_0_175,negated_conjecture,
( c0_1(a295)
| ~ hskp1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_175) ).
cnf(i_0_110,negated_conjecture,
( c2_1(a323)
| ~ hskp17 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_110) ).
cnf(i_0_111,negated_conjecture,
( c0_1(a323)
| ~ hskp17 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_111) ).
cnf(i_0_109,negated_conjecture,
( ~ hskp17
| ~ c3_1(a323) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_109) ).
cnf(i_0_147,negated_conjecture,
( c2_1(a305)
| ~ hskp8 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_147) ).
cnf(i_0_146,negated_conjecture,
( ~ hskp8
| ~ c0_1(a305) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_146) ).
cnf(i_0_145,negated_conjecture,
( ~ hskp8
| ~ c1_1(a305) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_145) ).
cnf(i_0_98,negated_conjecture,
( ~ hskp20
| ~ c2_1(a333) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_98) ).
cnf(i_0_97,negated_conjecture,
( ~ hskp20
| ~ c3_1(a333) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_97) ).
cnf(i_0_121,negated_conjecture,
( ~ hskp14
| ~ c0_1(a315) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_121) ).
cnf(i_0_122,negated_conjecture,
( c2_1(a315)
| ~ hskp14 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_122) ).
cnf(i_0_123,negated_conjecture,
( c1_1(a315)
| ~ hskp14 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_123) ).
cnf(i_0_49,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_49) ).
cnf(i_0_59,negated_conjecture,
( c0_1(X1)
| c2_1(X2)
| c2_1(X3)
| c2_1(X1)
| c3_1(X3)
| c1_1(X3)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_59) ).
cnf(i_0_56,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c2_1(X2)
| c3_1(X2)
| c3_1(X3)
| c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_56) ).
cnf(i_0_60,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c2_1(X2)
| c2_1(X3)
| c3_1(X2)
| c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_60) ).
cnf(i_0_14,negated_conjecture,
( hskp11
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_14) ).
cnf(i_0_39,negated_conjecture,
( hskp8
| c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_39) ).
cnf(i_0_33,negated_conjecture,
( hskp7
| c2_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_33) ).
cnf(i_0_29,negated_conjecture,
( hskp17
| c2_1(X1)
| c3_1(X1)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_29) ).
cnf(i_0_91,negated_conjecture,
( ~ hskp22
| ~ c1_1(a338) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_91) ).
cnf(i_0_173,negated_conjecture,
( ~ hskp1
| ~ c1_1(a295) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_173) ).
cnf(i_0_174,negated_conjecture,
( c2_1(a295)
| ~ hskp1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aw6bdf10/input.p',i_0_174) ).
cnf(c_0_250,negated_conjecture,
( ndr1_0
| ~ hskp16 ),
i_0_116 ).
cnf(c_0_251,negated_conjecture,
( hskp16
| hskp26 ),
i_0_2 ).
cnf(c_0_252,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
i_0_76 ).
fof(c_0_253,plain,
( ~ epred12_0
<=> ! [X1] :
( hskp0
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_254,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252]) ).
cnf(c_0_255,negated_conjecture,
( hskp21
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
i_0_21 ).
fof(c_0_256,plain,
( ~ epred6_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_257,plain,
( ~ epred38_0
<=> ! [X3] :
( c0_1(X3)
| c2_1(X3)
| c1_1(X3)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_258,plain,
( ~ epred1_0
<=> ! [X1] :
( c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_259,negated_conjecture,
( epred12_0
| c1_1(X1)
| c0_1(X1)
| hskp0
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_253]),c_0_254])]) ).
cnf(c_0_260,negated_conjecture,
( c3_1(a336)
| ~ hskp21 ),
i_0_95 ).
cnf(c_0_261,negated_conjecture,
( ~ hskp21
| ~ c0_1(a336) ),
i_0_94 ).
cnf(c_0_262,negated_conjecture,
( ~ hskp21
| ~ c1_1(a336) ),
i_0_93 ).
cnf(c_0_263,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| hskp21
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_254])]) ).
cnf(c_0_264,negated_conjecture,
( c0_1(a349)
| ~ hskp26 ),
i_0_75 ).
cnf(c_0_265,negated_conjecture,
( ~ hskp26
| ~ c2_1(a349) ),
i_0_74 ).
cnf(c_0_266,negated_conjecture,
( ~ hskp26
| ~ c3_1(a349) ),
i_0_73 ).
fof(c_0_267,plain,
( ~ epred41_0
<=> ! [X3] :
( c2_1(X3)
| c3_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_268,negated_conjecture,
( ~ hskp0
| ~ c0_1(a294) ),
i_0_179 ).
cnf(c_0_269,negated_conjecture,
( epred6_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_256]) ).
cnf(c_0_270,negated_conjecture,
( ~ hskp0
| ~ c2_1(a294) ),
i_0_178 ).
cnf(c_0_271,negated_conjecture,
( epred38_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_257]),c_0_254])]) ).
cnf(c_0_272,negated_conjecture,
( ~ hskp12
| ~ c0_1(a310) ),
i_0_130 ).
cnf(c_0_273,negated_conjecture,
( ~ hskp12
| ~ c2_1(a310) ),
i_0_129 ).
cnf(c_0_274,negated_conjecture,
( c3_1(a310)
| ~ hskp12 ),
i_0_131 ).
fof(c_0_275,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_276,plain,
( ~ epred39_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_277,negated_conjecture,
( epred1_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_258]),c_0_254])]) ).
cnf(c_0_278,negated_conjecture,
( epred12_0
| hskp0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261]),c_0_262]) ).
cnf(c_0_279,negated_conjecture,
( hskp21
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]),c_0_266]) ).
cnf(c_0_280,negated_conjecture,
( ~ hskp0
| ~ c3_1(a294) ),
i_0_177 ).
cnf(c_0_281,negated_conjecture,
( epred41_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_267]) ).
cnf(c_0_282,negated_conjecture,
( epred6_0
| ~ c1_1(a294)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_270]) ).
cnf(c_0_283,negated_conjecture,
( epred38_0
| c1_1(a294)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_271]),c_0_270]) ).
cnf(c_0_284,negated_conjecture,
( epred6_0
| ~ c1_1(a310)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_269]),c_0_273]) ).
cnf(c_0_285,negated_conjecture,
( epred12_0
| c1_1(a310)
| hskp0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_274]),c_0_272]) ).
cnf(c_0_286,negated_conjecture,
( epred2_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_275]) ).
cnf(c_0_287,negated_conjecture,
( c3_1(a321)
| ~ hskp16 ),
i_0_114 ).
cnf(c_0_288,negated_conjecture,
( c2_1(a321)
| ~ hskp16 ),
i_0_115 ).
cnf(c_0_289,negated_conjecture,
( ~ hskp16
| ~ c1_1(a321) ),
i_0_113 ).
cnf(c_0_290,negated_conjecture,
( epred39_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_276]) ).
cnf(c_0_291,negated_conjecture,
( epred1_0
| ~ c1_1(a310)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_274]),c_0_273]) ).
cnf(c_0_292,negated_conjecture,
( epred12_0
| hskp0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_293,negated_conjecture,
( hskp11
| hskp12
| hskp26 ),
i_0_3 ).
cnf(c_0_294,negated_conjecture,
( epred41_0
| c1_1(a294)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_270]) ).
cnf(c_0_295,negated_conjecture,
( epred38_0
| epred6_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_296,negated_conjecture,
( epred12_0
| epred6_0
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_297,negated_conjecture,
( epred2_0
| ~ c0_1(a321)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288]) ).
cnf(c_0_298,negated_conjecture,
( epred12_0
| c0_1(a321)
| hskp0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_287]),c_0_289]) ).
cnf(c_0_299,negated_conjecture,
( epred39_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_290]),c_0_268]),c_0_270]) ).
cnf(c_0_300,negated_conjecture,
( epred12_0
| epred1_0
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_291,c_0_285]) ).
cnf(c_0_301,negated_conjecture,
( epred12_0
| hskp12
| hskp11
| hskp0 ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_302,negated_conjecture,
( c3_1(a309)
| ~ hskp11 ),
i_0_134 ).
cnf(c_0_303,negated_conjecture,
( c1_1(a309)
| ~ hskp11 ),
i_0_135 ).
cnf(c_0_304,negated_conjecture,
( ~ hskp11
| ~ c2_1(a309) ),
i_0_133 ).
fof(c_0_305,plain,
( ~ epred42_0
<=> ! [X3] :
( c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_306,negated_conjecture,
( hskp16
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ),
i_0_31 ).
cnf(c_0_307,negated_conjecture,
( epred41_0
| epred6_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_282,c_0_294]) ).
cnf(c_0_308,negated_conjecture,
( epred38_0
| epred12_0
| epred6_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_309,negated_conjecture,
( epred12_0
| epred2_0
| hskp0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_310,negated_conjecture,
( c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
i_0_17 ).
cnf(c_0_311,negated_conjecture,
( epred39_0
| epred12_0
| epred1_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_312,negated_conjecture,
( epred39_0
| epred12_0
| hskp12
| hskp11 ),
inference(spm,[status(thm)],[c_0_299,c_0_301]) ).
cnf(c_0_313,negated_conjecture,
( epred1_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_302]),c_0_303]),c_0_304]) ).
fof(c_0_314,plain,
( ~ epred15_0
<=> ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_315,negated_conjecture,
( epred42_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_305]),c_0_254])]) ).
cnf(c_0_316,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp16
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_254])]) ).
cnf(c_0_317,negated_conjecture,
( epred41_0
| epred12_0
| epred6_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_307,c_0_296]) ).
cnf(c_0_318,negated_conjecture,
( epred38_0
| epred12_0
| epred6_0
| hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_301]),c_0_308]) ).
cnf(c_0_319,negated_conjecture,
( epred12_0
| epred2_0
| hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_251]),c_0_292]) ).
cnf(c_0_320,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_310,c_0_258]),c_0_275]) ).
cnf(c_0_321,negated_conjecture,
( epred39_0
| epred12_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_313]) ).
fof(c_0_322,plain,
( ~ epred13_0
<=> ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_323,plain,
( ~ epred26_0
<=> ! [X2] :
( hskp12
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_324,plain,
( ~ epred3_0
<=> ! [X1] :
( hskp0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_325,negated_conjecture,
( epred15_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_314]) ).
cnf(c_0_326,negated_conjecture,
( epred42_0
| ~ c2_1(a336)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_260]),c_0_262]) ).
cnf(c_0_327,negated_conjecture,
( c2_1(a336)
| hskp16
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_260]),c_0_262]) ).
cnf(c_0_328,negated_conjecture,
( epred41_0
| epred12_0
| epred6_0
| hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_301]),c_0_317]) ).
cnf(c_0_329,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c1_1(X1) ),
i_0_50 ).
cnf(c_0_330,negated_conjecture,
( epred38_0
| epred12_0
| epred6_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_318]) ).
cnf(c_0_331,negated_conjecture,
( epred38_0
| epred12_0
| epred6_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_295,c_0_319]) ).
cnf(c_0_332,negated_conjecture,
( epred39_0
| epred12_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_333,negated_conjecture,
( epred13_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_322]) ).
cnf(c_0_334,negated_conjecture,
( epred26_0
| c3_1(X1)
| c2_1(X1)
| hskp12
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_323]),c_0_254])]) ).
cnf(c_0_335,negated_conjecture,
( epred3_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_324]),c_0_254])]) ).
fof(c_0_336,plain,
( ~ epred21_0
<=> ! [X2] :
( hskp7
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_337,negated_conjecture,
( epred15_0
| ~ c2_1(a336)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_260]),c_0_262]) ).
cnf(c_0_338,negated_conjecture,
( epred15_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_287]),c_0_288]),c_0_289]) ).
cnf(c_0_339,negated_conjecture,
( epred42_0
| hskp16
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_340,negated_conjecture,
( epred41_0
| epred12_0
| epred6_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_328]) ).
cnf(c_0_341,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2) ),
i_0_52 ).
cnf(c_0_342,negated_conjecture,
( ~ epred42_0
| ~ epred39_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_329,c_0_305]),c_0_276]),c_0_256]) ).
cnf(c_0_343,negated_conjecture,
( epred38_0
| epred12_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_330]),c_0_331]) ).
cnf(c_0_344,negated_conjecture,
( epred39_0
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_319]),c_0_332]) ).
cnf(c_0_345,negated_conjecture,
( epred13_0
| ~ c1_1(a310)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_274]),c_0_273]) ).
cnf(c_0_346,negated_conjecture,
( epred38_0
| c1_1(a310)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_271]),c_0_273]) ).
cnf(c_0_347,negated_conjecture,
( epred26_0
| hskp12
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_264]),c_0_265]),c_0_266]) ).
cnf(c_0_348,negated_conjecture,
( epred3_0
| c1_1(a310)
| hskp0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_335]),c_0_273]) ).
fof(c_0_349,plain,
( ~ epred4_0
<=> ! [X2] :
( c2_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_350,negated_conjecture,
( epred21_0
| c1_1(X1)
| c2_1(X1)
| hskp7
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_336]),c_0_254])]) ).
fof(c_0_351,plain,
( ~ epred14_0
<=> ! [X1] :
( hskp1
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_352,negated_conjecture,
( hskp1
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
i_0_53 ).
cnf(c_0_353,negated_conjecture,
( epred15_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_327]),c_0_338]) ).
cnf(c_0_354,negated_conjecture,
( epred15_0
| hskp26 ),
inference(spm,[status(thm)],[c_0_338,c_0_251]) ).
fof(c_0_355,plain,
( ~ epred45_0
<=> ! [X1] :
( c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_356,negated_conjecture,
( hskp10
| hskp11
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ),
i_0_41 ).
cnf(c_0_357,negated_conjecture,
( epred42_0
| hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_279]),c_0_251]) ).
cnf(c_0_358,negated_conjecture,
( epred41_0
| epred12_0
| epred6_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_340]) ).
cnf(c_0_359,negated_conjecture,
( ~ epred13_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_341,c_0_253]),c_0_322]) ).
cnf(c_0_360,negated_conjecture,
( epred38_0
| epred12_0
| ~ epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_344]) ).
cnf(c_0_361,negated_conjecture,
( epred38_0
| epred13_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_345,c_0_346]) ).
cnf(c_0_362,negated_conjecture,
( epred26_0
| hskp12
| hskp11 ),
inference(spm,[status(thm)],[c_0_347,c_0_293]) ).
cnf(c_0_363,negated_conjecture,
( epred13_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_302]),c_0_303]),c_0_304]) ).
cnf(c_0_364,negated_conjecture,
( epred13_0
| epred3_0
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_345,c_0_348]) ).
cnf(c_0_365,negated_conjecture,
( epred4_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_349]) ).
cnf(c_0_366,negated_conjecture,
( c0_1(a303)
| ~ hskp7 ),
i_0_151 ).
cnf(c_0_367,negated_conjecture,
( c1_1(a303)
| ~ hskp7 ),
i_0_150 ).
cnf(c_0_368,negated_conjecture,
( ~ hskp7
| ~ c2_1(a303) ),
i_0_149 ).
cnf(c_0_369,negated_conjecture,
( epred21_0
| c1_1(a310)
| hskp7
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_274]),c_0_273]) ).
fof(c_0_370,plain,
( ~ epred17_0
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_371,negated_conjecture,
( ~ epred15_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_352,c_0_351]),c_0_314]) ).
cnf(c_0_372,negated_conjecture,
epred15_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_279]),c_0_354]) ).
fof(c_0_373,plain,
( ~ epred11_0
<=> ! [X2] :
( hskp17
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_374,negated_conjecture,
( epred45_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_355]) ).
cnf(c_0_375,negated_conjecture,
( c3_1(a308)
| ~ hskp10 ),
i_0_138 ).
cnf(c_0_376,negated_conjecture,
( c1_1(a308)
| ~ hskp10 ),
i_0_139 ).
cnf(c_0_377,negated_conjecture,
( ~ hskp10
| ~ c0_1(a308) ),
i_0_137 ).
cnf(c_0_378,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| hskp11
| hskp10
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_254])]) ).
cnf(c_0_379,negated_conjecture,
( epred42_0
| c1_1(a321)
| ~ c2_1(a321) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_287]),c_0_357]) ).
cnf(c_0_380,negated_conjecture,
( epred41_0
| epred12_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_319]),c_0_358]) ).
fof(c_0_381,plain,
( ~ epred27_0
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_382,negated_conjecture,
( hskp12
| c0_1(X1)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
i_0_38 ).
cnf(c_0_383,negated_conjecture,
( epred38_0
| ~ epred42_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_384,negated_conjecture,
( epred38_0
| epred26_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_363]) ).
fof(c_0_385,plain,
( ~ epred40_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| c1_1(X3)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_386,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
i_0_57 ).
cnf(c_0_387,negated_conjecture,
( epred39_0
| epred13_0
| epred3_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_299,c_0_364]) ).
cnf(c_0_388,negated_conjecture,
( epred39_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_359,c_0_344]) ).
cnf(c_0_389,negated_conjecture,
( epred4_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_367]),c_0_368]) ).
cnf(c_0_390,negated_conjecture,
( epred21_0
| epred13_0
| hskp7
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_345,c_0_369]) ).
cnf(c_0_391,negated_conjecture,
( epred17_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_370]) ).
fof(c_0_392,plain,
( ~ epred23_0
<=> ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_393,negated_conjecture,
( hskp11
| hskp20
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
i_0_23 ).
cnf(c_0_394,negated_conjecture,
( epred14_0
| c1_1(X1)
| c0_1(X1)
| hskp1
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_351]),c_0_254])]) ).
cnf(c_0_395,negated_conjecture,
~ epred14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_372])]) ).
cnf(c_0_396,negated_conjecture,
( epred11_0
| c1_1(X1)
| c3_1(X1)
| hskp17
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_373]),c_0_254])]) ).
cnf(c_0_397,negated_conjecture,
( epred45_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_376]),c_0_377]) ).
cnf(c_0_398,negated_conjecture,
( epred39_0
| c2_1(X1)
| c0_1(X1)
| hskp11
| hskp10 ),
inference(spm,[status(thm)],[c_0_378,c_0_290]) ).
cnf(c_0_399,negated_conjecture,
( epred39_0
| epred13_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_333,c_0_290]) ).
cnf(c_0_400,negated_conjecture,
( ~ hskp22
| ~ c3_1(a338) ),
i_0_89 ).
cnf(c_0_401,negated_conjecture,
( ~ hskp22
| ~ c2_1(a338) ),
i_0_90 ).
fof(c_0_402,plain,
( ~ epred22_0
<=> ! [X1] :
( hskp8
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_403,negated_conjecture,
( ~ hskp2
| ~ c0_1(a297) ),
i_0_170 ).
cnf(c_0_404,negated_conjecture,
( c1_1(a297)
| ~ hskp2 ),
i_0_171 ).
cnf(c_0_405,negated_conjecture,
( hskp0
| hskp2
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ),
i_0_51 ).
cnf(c_0_406,negated_conjecture,
( hskp0
| hskp14
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
i_0_35 ).
fof(c_0_407,plain,
( ~ epred37_0
<=> ! [X1] :
( hskp11
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_408,plain,
( ~ epred44_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_409,negated_conjecture,
( epred42_0
| c1_1(a321) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_288]),c_0_357]) ).
cnf(c_0_410,negated_conjecture,
( epred41_0
| epred12_0
| ~ epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_380]),c_0_344]) ).
cnf(c_0_411,negated_conjecture,
( ~ epred27_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_382,c_0_323]),c_0_381]) ).
cnf(c_0_412,negated_conjecture,
( epred38_0
| epred26_0
| ~ epred42_0 ),
inference(spm,[status(thm)],[c_0_383,c_0_384]) ).
cnf(c_0_413,negated_conjecture,
( epred40_0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_385]),c_0_254])]) ).
cnf(c_0_414,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_386,c_0_324]),c_0_349]) ).
cnf(c_0_415,negated_conjecture,
( epred39_0
| epred26_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_362]),c_0_363]),c_0_388]) ).
cnf(c_0_416,negated_conjecture,
( epred21_0
| epred13_0
| epred4_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_389,c_0_390]) ).
cnf(c_0_417,negated_conjecture,
( epred17_0
| ~ c2_1(a336)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_260]),c_0_261]) ).
cnf(c_0_418,negated_conjecture,
( hskp22
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
i_0_18 ).
cnf(c_0_419,negated_conjecture,
( ~ hskp2
| ~ c3_1(a297) ),
i_0_169 ).
cnf(c_0_420,negated_conjecture,
( epred23_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_392]) ).
fof(c_0_421,plain,
( ~ epred8_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_422,negated_conjecture,
( c1_1(X1)
| hskp20
| hskp11
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_393,c_0_254])]) ).
cnf(c_0_423,negated_conjecture,
( c0_1(a321)
| hskp1
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_288]),c_0_395]),c_0_289]) ).
cnf(c_0_424,negated_conjecture,
( epred11_0
| epred3_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp17
| hskp0 ),
inference(spm,[status(thm)],[c_0_396,c_0_335]) ).
cnf(c_0_425,negated_conjecture,
( epred6_0
| c3_1(X1)
| c2_1(X1)
| hskp21
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_263,c_0_269]) ).
cnf(c_0_426,negated_conjecture,
( c1_1(a333)
| ~ hskp20 ),
i_0_99 ).
cnf(c_0_427,negated_conjecture,
( epred45_0
| epred39_0
| c2_1(X1)
| c0_1(X1)
| hskp11 ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
cnf(c_0_428,negated_conjecture,
( epred39_0
| epred13_0
| epred4_0
| c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_365,c_0_399]) ).
cnf(c_0_429,negated_conjecture,
( epred39_0
| c0_1(a338)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_290]),c_0_401]) ).
cnf(c_0_430,negated_conjecture,
( epred17_0
| c0_1(a321)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_287]),c_0_288]) ).
cnf(c_0_431,negated_conjecture,
( epred22_0
| c3_1(X1)
| c0_1(X1)
| hskp8
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_402]),c_0_254])]) ).
cnf(c_0_432,negated_conjecture,
( epred6_0
| c2_1(a297)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_269]),c_0_404]) ).
cnf(c_0_433,negated_conjecture,
( c1_1(X1)
| c0_1(X1)
| hskp2
| hskp0
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_254])]) ).
cnf(c_0_434,negated_conjecture,
( c0_1(X1)
| hskp14
| hskp0
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_254])]) ).
cnf(c_0_435,negated_conjecture,
( c0_1(a295)
| ~ hskp1 ),
i_0_175 ).
cnf(c_0_436,negated_conjecture,
( epred37_0
| c3_1(X1)
| hskp11
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_407]),c_0_254])]) ).
cnf(c_0_437,negated_conjecture,
( c2_1(a323)
| ~ hskp17 ),
i_0_110 ).
cnf(c_0_438,negated_conjecture,
( c0_1(a323)
| ~ hskp17 ),
i_0_111 ).
cnf(c_0_439,negated_conjecture,
( ~ hskp17
| ~ c3_1(a323) ),
i_0_109 ).
cnf(c_0_440,negated_conjecture,
( epred44_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_408]),c_0_254])]) ).
cnf(c_0_441,negated_conjecture,
epred42_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_409]),c_0_357]) ).
cnf(c_0_442,negated_conjecture,
( epred41_0
| ~ epred42_0
| ~ epred13_0 ),
inference(spm,[status(thm)],[c_0_359,c_0_410]) ).
cnf(c_0_443,negated_conjecture,
( epred38_0
| ~ epred42_0
| ~ epred27_0 ),
inference(spm,[status(thm)],[c_0_411,c_0_412]) ).
cnf(c_0_444,negated_conjecture,
( epred40_0
| c1_1(a294)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_413]),c_0_268]) ).
cnf(c_0_445,negated_conjecture,
( epred39_0
| epred26_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_446,negated_conjecture,
( epred26_0
| epred21_0
| epred13_0
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_362]),c_0_363]) ).
cnf(c_0_447,negated_conjecture,
( c2_1(a305)
| ~ hskp8 ),
i_0_147 ).
cnf(c_0_448,negated_conjecture,
( ~ hskp8
| ~ c0_1(a305) ),
i_0_146 ).
cnf(c_0_449,negated_conjecture,
( ~ hskp8
| ~ c1_1(a305) ),
i_0_145 ).
cnf(c_0_450,negated_conjecture,
( epred17_0
| hskp16
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_417,c_0_327]) ).
cnf(c_0_451,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| hskp22
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_418,c_0_254])]) ).
cnf(c_0_452,negated_conjecture,
( ~ hskp20
| ~ c2_1(a333) ),
i_0_98 ).
cnf(c_0_453,negated_conjecture,
( ~ hskp20
| ~ c3_1(a333) ),
i_0_97 ).
cnf(c_0_454,negated_conjecture,
( epred23_0
| ~ c2_1(a297)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_404]) ).
cnf(c_0_455,negated_conjecture,
( epred39_0
| c2_1(a297)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_290]),c_0_403]) ).
cnf(c_0_456,negated_conjecture,
( ~ hskp14
| ~ c0_1(a315) ),
i_0_121 ).
cnf(c_0_457,negated_conjecture,
( epred27_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_381]) ).
cnf(c_0_458,negated_conjecture,
( c2_1(a315)
| ~ hskp14 ),
i_0_122 ).
cnf(c_0_459,negated_conjecture,
( c1_1(a315)
| ~ hskp14 ),
i_0_123 ).
cnf(c_0_460,negated_conjecture,
( epred17_0
| ~ c2_1(a308)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_375]),c_0_377]) ).
cnf(c_0_461,negated_conjecture,
( epred13_0
| c2_1(a308)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_375]),c_0_376]) ).
cnf(c_0_462,negated_conjecture,
( epred8_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_421]) ).
cnf(c_0_463,negated_conjecture,
( epred6_0
| epred4_0
| c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_365,c_0_269]) ).
cnf(c_0_464,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X3) ),
i_0_49 ).
cnf(c_0_465,negated_conjecture,
( c0_1(X1)
| c2_1(X2)
| c2_1(X3)
| c2_1(X1)
| c3_1(X3)
| c1_1(X3)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2) ),
i_0_59 ).
cnf(c_0_466,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c2_1(X2)
| c3_1(X2)
| c3_1(X3)
| c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
i_0_56 ).
cnf(c_0_467,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c2_1(X2)
| c2_1(X3)
| c3_1(X2)
| c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1) ),
i_0_60 ).
cnf(c_0_468,negated_conjecture,
( hskp11
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
i_0_14 ).
cnf(c_0_469,negated_conjecture,
( hskp8
| c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X2) ),
i_0_39 ).
cnf(c_0_470,negated_conjecture,
( hskp7
| c2_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
i_0_33 ).
cnf(c_0_471,negated_conjecture,
( hskp17
| c2_1(X1)
| c3_1(X1)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X1) ),
i_0_29 ).
cnf(c_0_472,negated_conjecture,
( c1_1(a321)
| hskp20
| hskp11
| hskp1
| ~ c2_1(a321)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_422,c_0_423]) ).
cnf(c_0_473,negated_conjecture,
( epred11_0
| epred3_0
| c1_1(a338)
| c2_1(a338)
| hskp17
| hskp0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_400,c_0_424]) ).
cnf(c_0_474,negated_conjecture,
( epred6_0
| c3_1(a333)
| c2_1(a333)
| hskp21
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_475,negated_conjecture,
( epred45_0
| epred39_0
| c2_1(a310)
| hskp11
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_272,c_0_427]) ).
cnf(c_0_476,negated_conjecture,
( epred39_0
| epred13_0
| epred4_0
| ~ hskp12
| ~ c1_1(a310) ),
inference(spm,[status(thm)],[c_0_273,c_0_428]) ).
cnf(c_0_477,negated_conjecture,
( epred11_0
| c1_1(a338)
| c3_1(a338)
| hskp17
| epred39_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_396,c_0_429]) ).
cnf(c_0_478,negated_conjecture,
( c1_1(a321)
| hskp20
| hskp11
| epred17_0
| ~ c2_1(a321)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_422,c_0_430]) ).
cnf(c_0_479,negated_conjecture,
( epred22_0
| c3_1(a297)
| c0_1(a297)
| hskp8
| epred6_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_480,negated_conjecture,
( c1_1(a310)
| c0_1(a310)
| hskp2
| hskp0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_433,c_0_274]) ).
cnf(c_0_481,negated_conjecture,
( c2_1(a336)
| c0_1(a336)
| hskp11
| hskp10
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_378,c_0_260]) ).
cnf(c_0_482,negated_conjecture,
( c0_1(a321)
| hskp14
| hskp0
| ~ c2_1(a321)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_434,c_0_287]) ).
cnf(c_0_483,negated_conjecture,
( c0_1(a336)
| hskp14
| hskp0
| ~ c2_1(a336)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_434,c_0_260]) ).
cnf(c_0_484,negated_conjecture,
( c1_1(a295)
| hskp20
| hskp11
| ~ c2_1(a295)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_422,c_0_435]) ).
cnf(c_0_485,negated_conjecture,
( epred37_0
| hskp11
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_437]),c_0_438]),c_0_439]) ).
cnf(c_0_486,negated_conjecture,
( epred44_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_440]),c_0_404]),c_0_403]) ).
cnf(c_0_487,negated_conjecture,
( ~ epred39_0
| ~ epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_441])]) ).
cnf(c_0_488,negated_conjecture,
( epred41_0
| ~ epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_441])]) ).
cnf(c_0_489,negated_conjecture,
( epred38_0
| ~ epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_383,c_0_441])]) ).
cnf(c_0_490,negated_conjecture,
( epred38_0
| ~ epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_443,c_0_441])]) ).
cnf(c_0_491,negated_conjecture,
( epred40_0
| epred6_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_282,c_0_444]) ).
cnf(c_0_492,negated_conjecture,
( epred39_0
| epred26_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_446]),c_0_388]) ).
cnf(c_0_493,negated_conjecture,
( hskp1
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_447]),c_0_395]),c_0_448]),c_0_449]) ).
cnf(c_0_494,negated_conjecture,
( epred17_0
| hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_279]),c_0_251]) ).
cnf(c_0_495,negated_conjecture,
( hskp22
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_426]),c_0_452]),c_0_453]) ).
cnf(c_0_496,negated_conjecture,
( epred39_0
| epred23_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_454,c_0_455]) ).
cnf(c_0_497,negated_conjecture,
( epred27_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_458]),c_0_459]) ).
cnf(c_0_498,negated_conjecture,
( epred17_0
| epred13_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_460,c_0_461]) ).
cnf(c_0_499,negated_conjecture,
( epred8_0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_462]),c_0_426]),c_0_452]) ).
cnf(c_0_500,negated_conjecture,
( epred6_0
| epred4_0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_463]),c_0_426]) ).
cnf(c_0_501,negated_conjecture,
( ~ epred45_0
| ~ epred44_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_464,c_0_408]),c_0_256]),c_0_355]) ).
cnf(c_0_502,negated_conjecture,
( ~ epred41_0
| ~ epred38_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_465,c_0_257]),c_0_267]),c_0_322]) ).
cnf(c_0_503,negated_conjecture,
( ~ epred40_0
| ~ epred39_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_466,c_0_385]),c_0_276]),c_0_370]) ).
cnf(c_0_504,negated_conjecture,
( ~ epred39_0
| ~ epred38_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_467,c_0_257]),c_0_276]),c_0_381]) ).
cnf(c_0_505,negated_conjecture,
( ~ epred37_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_468,c_0_407]),c_0_275]) ).
cnf(c_0_506,negated_conjecture,
( ~ epred23_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_469,c_0_402]),c_0_392]) ).
cnf(c_0_507,negated_conjecture,
( ~ epred21_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_470,c_0_336]),c_0_349]) ).
cnf(c_0_508,negated_conjecture,
( ~ epred11_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_471,c_0_373]),c_0_421]) ).
cnf(c_0_509,negated_conjecture,
( ~ hskp22
| ~ c1_1(a338) ),
i_0_91 ).
cnf(c_0_510,negated_conjecture,
( ~ hskp1
| ~ c1_1(a295) ),
i_0_173 ).
cnf(c_0_511,negated_conjecture,
( c2_1(a295)
| ~ hskp1 ),
i_0_174 ).
cnf(c_0_512,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_472,c_0_473,c_0_474,c_0_475,c_0_476,c_0_477,c_0_478,c_0_479,c_0_480,c_0_481,c_0_482,c_0_483,c_0_484,c_0_485,c_0_486,c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_492,c_0_362,c_0_493,c_0_494,c_0_327,c_0_279,c_0_495,c_0_496,c_0_299,c_0_497,c_0_498,c_0_417,c_0_363,c_0_499,c_0_297,c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_411,c_0_506,c_0_507,c_0_508,c_0_414,c_0_509,c_0_400,c_0_401,c_0_261,c_0_453,c_0_452,c_0_273,c_0_272,c_0_419,c_0_403,c_0_510,c_0_289,c_0_288,c_0_511,c_0_251]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SYN445+1 : TPTP v8.1.0. Released v2.1.0.
% 0.13/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 16:47:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.47 # ENIGMATIC: Selected complete mode:
% 16.01/3.43 # ENIGMATIC: Solved by autoschedule:
% 16.01/3.43 # No SInE strategy applied
% 16.01/3.43 # Trying AutoSched0 for 150 seconds
% 16.01/3.43 # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 16.01/3.43 # and selection function SelectMaxLComplexAvoidPosPred.
% 16.01/3.43 #
% 16.01/3.43 # Preprocessing time : 0.029 s
% 16.01/3.43 # SatCheck found unsatisfiable ground set
% 16.01/3.43
% 16.01/3.43 # Proof found!
% 16.01/3.43 # SZS status Theorem
% 16.01/3.43 # SZS output start CNFRefutation
% See solution above
% 16.01/3.43 # Training examples: 0 positive, 0 negative
% 16.01/3.43
% 16.01/3.43 # -------------------------------------------------
% 16.01/3.43 # User time : 0.971 s
% 16.01/3.43 # System time : 0.022 s
% 16.01/3.43 # Total time : 0.994 s
% 16.01/3.43 # Maximum resident set size: 7120 pages
% 16.01/3.43
%------------------------------------------------------------------------------