TSTP Solution File: SEU299+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU299+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 : Tue Jul 19 08:40:33 EDT 2022
% Result : Theorem 17.60s 3.66s
% Output : CNFRefutation 17.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 38
% Syntax : Number of clauses : 137 ( 13 unt; 79 nHn; 125 RR)
% Number of literals : 726 ( 162 equ; 481 neg)
% Maximal clause size : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-4 aty)
% Number of variables : 316 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_143,plain,
( in(X1,esk28_1(X2))
| subset(X3,esk33_4(X2,X1,X4,X3))
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| X1 != X5
| X1 != X4
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X5,succ(X2))
| ~ in(X3,esk32_3(X2,X1,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_143) ).
cnf(i_0_142,plain,
( in(X1,esk28_1(X2))
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| X1 != X3
| X1 != X4
| esk33_4(X2,X1,X4,X5) != X5
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X3,succ(X2))
| ~ in(X5,esk32_3(X2,X1,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_142) ).
cnf(i_0_144,plain,
( in(X1,esk28_1(X2))
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| in(esk33_4(X2,X1,X3,X4),esk32_3(X2,X1,X3))
| X1 != X5
| X1 != X3
| ~ ordinal(X3)
| ~ ordinal(X2)
| ~ in(X5,succ(X2))
| ~ in(X4,esk32_3(X2,X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_144) ).
cnf(i_0_4,negated_conjecture,
( ordinal(esk5_1(X1))
| in(esk2_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_4) ).
cnf(i_0_3,negated_conjecture,
( esk2_1(X1) = esk5_1(X1)
| in(esk2_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_3) ).
cnf(i_0_145,plain,
( in(X1,esk28_1(X2))
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| X1 != X3
| X1 != X4
| esk32_3(X2,X1,X4) != empty_set
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X3,succ(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_145) ).
cnf(i_0_1,negated_conjecture,
( X1 = empty_set
| X2 = esk6_2(X3,X1)
| in(esk2_1(X3),X3)
| ~ in(X2,X1)
| ~ in(esk5_1(X3),omega)
| ~ subset(esk6_2(X3,X1),X2)
| ~ element(X1,powerset(powerset(esk5_1(X3)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_1) ).
cnf(i_0_5,negated_conjecture,
( in(esk2_1(X1),X1)
| in(esk2_1(X1),succ(esk1_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_5) ).
cnf(i_0_12,negated_conjecture,
ordinal(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_12) ).
cnf(i_0_2,negated_conjecture,
( X1 = empty_set
| in(esk2_1(X2),X2)
| in(esk6_2(X2,X1),X1)
| ~ in(esk5_1(X2),omega)
| ~ element(X1,powerset(powerset(esk5_1(X2)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_2) ).
cnf(i_0_147,plain,
( in(X1,omega)
| in(X2,esk28_1(X3))
| epred1_3(esk27_1(X3),esk26_1(X3),esk25_1(X3))
| X2 != X4
| X1 != X2
| ~ ordinal(X3)
| ~ ordinal(X1)
| ~ in(X4,succ(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_147) ).
cnf(i_0_146,plain,
( in(X1,esk28_1(X2))
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| element(esk32_3(X2,X1,X3),powerset(powerset(X3)))
| X1 != X4
| X1 != X3
| ~ ordinal(X3)
| ~ ordinal(X2)
| ~ in(X4,succ(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_146) ).
cnf(i_0_7,negated_conjecture,
( subset(X1,esk4_3(X2,X3,X1))
| esk2_1(X2) != X3
| ~ ordinal(X3)
| ~ in(esk2_1(X2),X2)
| ~ in(X1,esk3_2(X2,X3))
| ~ in(esk2_1(X2),succ(esk1_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_7) ).
cnf(i_0_6,negated_conjecture,
( esk2_1(X1) != X2
| esk4_3(X1,X2,X3) != X3
| ~ ordinal(X2)
| ~ in(esk2_1(X1),X1)
| ~ in(X3,esk3_2(X1,X2))
| ~ in(esk2_1(X1),succ(esk1_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_6) ).
cnf(i_0_8,negated_conjecture,
( in(esk4_3(X1,X2,X3),esk3_2(X1,X2))
| esk2_1(X1) != X2
| ~ ordinal(X2)
| ~ in(esk2_1(X1),X1)
| ~ in(X3,esk3_2(X1,X2))
| ~ in(esk2_1(X1),succ(esk1_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_8) ).
cnf(i_0_9,negated_conjecture,
( esk2_1(X1) != X2
| esk3_2(X1,X2) != empty_set
| ~ ordinal(X2)
| ~ in(esk2_1(X1),X1)
| ~ in(esk2_1(X1),succ(esk1_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_9) ).
cnf(i_0_148,plain,
( X1 = empty_set
| X2 = esk31_3(X3,X4,X1)
| epred1_3(esk27_1(X3),esk26_1(X3),esk25_1(X3))
| ~ ordinal(X3)
| ~ in(X2,X1)
| ~ in(X4,esk28_1(X3))
| ~ in(esk30_2(X3,X4),omega)
| ~ subset(esk31_3(X3,X4,X1),X2)
| ~ element(X1,powerset(powerset(esk30_2(X3,X4)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_148) ).
cnf(i_0_149,plain,
( X1 = empty_set
| in(esk31_3(X2,X3,X1),X1)
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| ~ ordinal(X2)
| ~ in(X3,esk28_1(X2))
| ~ in(esk30_2(X2,X3),omega)
| ~ element(X1,powerset(powerset(esk30_2(X2,X3)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_149) ).
cnf(i_0_150,plain,
( esk30_2(X1,X2) = X2
| epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_150) ).
cnf(i_0_10,negated_conjecture,
( element(esk3_2(X1,X2),powerset(powerset(X2)))
| esk2_1(X1) != X2
| ~ ordinal(X2)
| ~ in(esk2_1(X1),X1)
| ~ in(esk2_1(X1),succ(esk1_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_10) ).
cnf(i_0_151,plain,
( ordinal(esk30_2(X1,X2))
| epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_151) ).
cnf(i_0_152,plain,
( esk29_2(X1,X2) = X2
| epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_152) ).
cnf(i_0_153,plain,
( in(esk29_2(X1,X2),succ(X1))
| epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_153) ).
cnf(i_0_131,plain,
( in(X1,esk28_1(X2))
| subset(X3,esk33_4(X2,X1,X4,X3))
| X1 != X5
| X1 != X4
| esk26_1(X2) != esk27_1(X2)
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X5,succ(X2))
| ~ in(X3,esk32_3(X2,X1,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_131) ).
cnf(i_0_130,plain,
( in(X1,esk28_1(X2))
| X1 != X3
| X1 != X4
| esk26_1(X2) != esk27_1(X2)
| esk33_4(X2,X1,X4,X5) != X5
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X3,succ(X2))
| ~ in(X5,esk32_3(X2,X1,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_130) ).
cnf(i_0_132,plain,
( in(X1,esk28_1(X2))
| in(esk33_4(X2,X1,X3,X4),esk32_3(X2,X1,X3))
| X1 != X5
| X1 != X3
| esk26_1(X2) != esk27_1(X2)
| ~ ordinal(X3)
| ~ ordinal(X2)
| ~ in(X5,succ(X2))
| ~ in(X4,esk32_3(X2,X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_132) ).
cnf(i_0_133,plain,
( in(X1,esk28_1(X2))
| X1 != X3
| X1 != X4
| esk26_1(X2) != esk27_1(X2)
| esk32_3(X2,X1,X4) != empty_set
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X3,succ(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_133) ).
cnf(i_0_11,negated_conjecture,
( in(X1,omega)
| esk2_1(X2) != X1
| ~ ordinal(X1)
| ~ in(esk2_1(X2),X2)
| ~ in(esk2_1(X2),succ(esk1_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_11) ).
cnf(i_0_135,plain,
( in(X1,omega)
| in(X2,esk28_1(X3))
| X2 != X4
| X1 != X2
| esk26_1(X3) != esk27_1(X3)
| ~ ordinal(X3)
| ~ ordinal(X1)
| ~ in(X4,succ(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_135) ).
cnf(i_0_163,plain,
( X1 = X2
| ~ epred1_3(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_163) ).
cnf(i_0_134,plain,
( in(X1,esk28_1(X2))
| element(esk32_3(X2,X1,X3),powerset(powerset(X3)))
| X1 != X4
| X1 != X3
| esk26_1(X2) != esk27_1(X2)
| ~ ordinal(X3)
| ~ ordinal(X2)
| ~ in(X4,succ(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_134) ).
cnf(i_0_158,plain,
( X1 = X2
| ~ epred1_3(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_158) ).
cnf(i_0_140,plain,
( esk29_2(X1,X2) = X2
| esk26_1(X1) != esk27_1(X1)
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_140) ).
cnf(i_0_138,plain,
( esk30_2(X1,X2) = X2
| esk26_1(X1) != esk27_1(X1)
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_138) ).
cnf(i_0_136,plain,
( X1 = empty_set
| X2 = esk31_3(X3,X4,X1)
| esk26_1(X3) != esk27_1(X3)
| ~ ordinal(X3)
| ~ in(X2,X1)
| ~ in(X4,esk28_1(X3))
| ~ in(esk30_2(X3,X4),omega)
| ~ subset(esk31_3(X3,X4,X1),X2)
| ~ element(X1,powerset(powerset(esk30_2(X3,X4)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_136) ).
cnf(i_0_141,plain,
( in(esk29_2(X1,X2),succ(X1))
| esk26_1(X1) != esk27_1(X1)
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_141) ).
cnf(i_0_139,plain,
( ordinal(esk30_2(X1,X2))
| esk26_1(X1) != esk27_1(X1)
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_139) ).
cnf(i_0_137,plain,
( X1 = empty_set
| in(esk31_3(X2,X3,X1),X1)
| esk26_1(X2) != esk27_1(X2)
| ~ ordinal(X2)
| ~ in(X3,esk28_1(X2))
| ~ in(esk30_2(X2,X3),omega)
| ~ element(X1,powerset(powerset(esk30_2(X2,X3)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9vnnj6aq/input.p',i_0_137) ).
cnf(c_0_202,plain,
( in(X1,esk28_1(X2))
| subset(X3,esk33_4(X2,X1,X4,X3))
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| X1 != X5
| X1 != X4
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X5,succ(X2))
| ~ in(X3,esk32_3(X2,X1,X4)) ),
i_0_143 ).
cnf(c_0_203,plain,
( in(X1,esk28_1(X2))
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| X1 != X3
| X1 != X4
| esk33_4(X2,X1,X4,X5) != X5
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X3,succ(X2))
| ~ in(X5,esk32_3(X2,X1,X4)) ),
i_0_142 ).
cnf(c_0_204,plain,
( in(X1,esk28_1(X2))
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| in(esk33_4(X2,X1,X3,X4),esk32_3(X2,X1,X3))
| X1 != X5
| X1 != X3
| ~ ordinal(X3)
| ~ ordinal(X2)
| ~ in(X5,succ(X2))
| ~ in(X4,esk32_3(X2,X1,X3)) ),
i_0_144 ).
cnf(c_0_205,negated_conjecture,
( ordinal(esk5_1(X1))
| in(esk2_1(X1),X1) ),
i_0_4 ).
cnf(c_0_206,negated_conjecture,
( esk2_1(X1) = esk5_1(X1)
| in(esk2_1(X1),X1) ),
i_0_3 ).
cnf(c_0_207,plain,
( in(X1,esk28_1(X2))
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| X1 != X3
| X1 != X4
| esk32_3(X2,X1,X4) != empty_set
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X3,succ(X2)) ),
i_0_145 ).
cnf(c_0_208,negated_conjecture,
( X1 = empty_set
| X2 = esk6_2(X3,X1)
| in(esk2_1(X3),X3)
| ~ in(X2,X1)
| ~ in(esk5_1(X3),omega)
| ~ subset(esk6_2(X3,X1),X2)
| ~ element(X1,powerset(powerset(esk5_1(X3)))) ),
i_0_1 ).
cnf(c_0_209,plain,
( epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| in(X2,esk28_1(X1))
| subset(X3,esk33_4(X1,X2,X2,X3))
| ~ in(X3,esk32_3(X1,X2,X2))
| ~ in(X2,succ(X1))
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_202])]) ).
cnf(c_0_210,plain,
( epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| in(X2,esk28_1(X1))
| esk33_4(X1,X2,X2,X3) != X3
| ~ in(X3,esk32_3(X1,X2,X2))
| ~ in(X2,succ(X1))
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_203])]) ).
cnf(c_0_211,plain,
( epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| in(esk33_4(X1,X2,X2,X3),esk32_3(X1,X2,X2))
| in(X2,esk28_1(X1))
| ~ in(X3,esk32_3(X1,X2,X2))
| ~ in(X2,succ(X1))
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_204])]) ).
cnf(c_0_212,negated_conjecture,
( in(esk2_1(X1),X1)
| in(esk2_1(X1),succ(esk1_0)) ),
i_0_5 ).
cnf(c_0_213,negated_conjecture,
ordinal(esk1_0),
i_0_12 ).
cnf(c_0_214,negated_conjecture,
( in(esk2_1(X1),X1)
| ordinal(esk2_1(X1)) ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_215,plain,
( epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| in(X2,esk28_1(X1))
| esk32_3(X1,X2,X2) != empty_set
| ~ in(X2,succ(X1))
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_207])]) ).
cnf(c_0_216,negated_conjecture,
( X1 = empty_set
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| in(X3,esk28_1(X2))
| in(esk2_1(X4),X4)
| ~ in(esk33_4(X2,X3,X3,esk6_2(X4,X1)),X1)
| ~ in(esk6_2(X4,X1),esk32_3(X2,X3,X3))
| ~ in(esk5_1(X4),omega)
| ~ in(X3,succ(X2))
| ~ element(X1,powerset(powerset(esk5_1(X4))))
| ~ ordinal(X3)
| ~ ordinal(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_210]) ).
cnf(c_0_217,negated_conjecture,
( epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0))
| in(esk33_4(esk1_0,esk2_1(X1),esk2_1(X1),X2),esk32_3(esk1_0,esk2_1(X1),esk2_1(X1)))
| in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X1),X1)
| ~ in(X2,esk32_3(esk1_0,esk2_1(X1),esk2_1(X1))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_218,negated_conjecture,
( X1 = empty_set
| in(esk2_1(X2),X2)
| in(esk6_2(X2,X1),X1)
| ~ in(esk5_1(X2),omega)
| ~ element(X1,powerset(powerset(esk5_1(X2)))) ),
i_0_2 ).
cnf(c_0_219,negated_conjecture,
( epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0))
| in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X1),X1)
| esk32_3(esk1_0,esk2_1(X1),esk2_1(X1)) != empty_set ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_220,plain,
( in(X1,omega)
| in(X2,esk28_1(X3))
| epred1_3(esk27_1(X3),esk26_1(X3),esk25_1(X3))
| X2 != X4
| X1 != X2
| ~ ordinal(X3)
| ~ ordinal(X1)
| ~ in(X4,succ(X3)) ),
i_0_147 ).
cnf(c_0_221,negated_conjecture,
( epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0))
| in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X1),X1)
| in(esk2_1(X2),X2)
| ~ in(esk5_1(X2),omega)
| ~ element(esk32_3(esk1_0,esk2_1(X1),esk2_1(X1)),powerset(powerset(esk5_1(X2)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_213])]),c_0_214]),c_0_212]),c_0_218]),c_0_219]) ).
cnf(c_0_222,plain,
( in(X1,esk28_1(X2))
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| element(esk32_3(X2,X1,X3),powerset(powerset(X3)))
| X1 != X4
| X1 != X3
| ~ ordinal(X3)
| ~ ordinal(X2)
| ~ in(X4,succ(X2)) ),
i_0_146 ).
cnf(c_0_223,plain,
( epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| in(X2,esk28_1(X1))
| in(X2,omega)
| ~ in(X2,succ(X1))
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_220])]) ).
cnf(c_0_224,negated_conjecture,
( subset(X1,esk4_3(X2,X3,X1))
| esk2_1(X2) != X3
| ~ ordinal(X3)
| ~ in(esk2_1(X2),X2)
| ~ in(X1,esk3_2(X2,X3))
| ~ in(esk2_1(X2),succ(esk1_0)) ),
i_0_7 ).
cnf(c_0_225,negated_conjecture,
( esk2_1(X1) != X2
| esk4_3(X1,X2,X3) != X3
| ~ ordinal(X2)
| ~ in(esk2_1(X1),X1)
| ~ in(X3,esk3_2(X1,X2))
| ~ in(esk2_1(X1),succ(esk1_0)) ),
i_0_6 ).
cnf(c_0_226,negated_conjecture,
( epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0))
| in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X2),X2)
| in(esk2_1(X1),X1)
| ~ in(esk2_1(X2),omega)
| ~ element(esk32_3(esk1_0,esk2_1(X1),esk2_1(X1)),powerset(powerset(esk2_1(X2)))) ),
inference(spm,[status(thm)],[c_0_221,c_0_206]) ).
cnf(c_0_227,plain,
( epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| in(X2,esk28_1(X1))
| element(esk32_3(X1,X2,X2),powerset(powerset(X2)))
| ~ in(X2,succ(X1))
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_222])]) ).
cnf(c_0_228,negated_conjecture,
( epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0))
| in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X1),omega)
| in(esk2_1(X1),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_229,negated_conjecture,
( subset(X1,esk4_3(X2,esk2_1(X2),X1))
| ~ in(esk2_1(X2),succ(esk1_0))
| ~ in(X1,esk3_2(X2,esk2_1(X2)))
| ~ in(esk2_1(X2),X2)
| ~ ordinal(esk2_1(X2)) ),
inference(er,[status(thm)],[c_0_224]) ).
cnf(c_0_230,negated_conjecture,
( esk4_3(X1,esk2_1(X1),X2) != X2
| ~ in(esk2_1(X1),succ(esk1_0))
| ~ in(X2,esk3_2(X1,esk2_1(X1)))
| ~ in(esk2_1(X1),X1)
| ~ ordinal(esk2_1(X1)) ),
inference(er,[status(thm)],[c_0_225]) ).
cnf(c_0_231,negated_conjecture,
( in(esk4_3(X1,X2,X3),esk3_2(X1,X2))
| esk2_1(X1) != X2
| ~ ordinal(X2)
| ~ in(esk2_1(X1),X1)
| ~ in(X3,esk3_2(X1,X2))
| ~ in(esk2_1(X1),succ(esk1_0)) ),
i_0_8 ).
cnf(c_0_232,negated_conjecture,
( esk2_1(X1) != X2
| esk3_2(X1,X2) != empty_set
| ~ ordinal(X2)
| ~ in(esk2_1(X1),X1)
| ~ in(esk2_1(X1),succ(esk1_0)) ),
i_0_9 ).
cnf(c_0_233,plain,
( X1 = empty_set
| X2 = esk31_3(X3,X4,X1)
| epred1_3(esk27_1(X3),esk26_1(X3),esk25_1(X3))
| ~ ordinal(X3)
| ~ in(X2,X1)
| ~ in(X4,esk28_1(X3))
| ~ in(esk30_2(X3,X4),omega)
| ~ subset(esk31_3(X3,X4,X1),X2)
| ~ element(X1,powerset(powerset(esk30_2(X3,X4)))) ),
i_0_148 ).
cnf(c_0_234,plain,
( epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0))
| in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X1),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_213])]),c_0_214]),c_0_228]),c_0_212]) ).
cnf(c_0_235,negated_conjecture,
( X1 = empty_set
| in(esk2_1(X2),X2)
| ~ in(esk4_3(X3,esk2_1(X3),esk6_2(X2,X1)),X1)
| ~ in(esk6_2(X2,X1),esk3_2(X3,esk2_1(X3)))
| ~ in(esk2_1(X3),succ(esk1_0))
| ~ in(esk5_1(X2),omega)
| ~ in(esk2_1(X3),X3)
| ~ element(X1,powerset(powerset(esk5_1(X2))))
| ~ ordinal(esk2_1(X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_229]),c_0_230]) ).
cnf(c_0_236,negated_conjecture,
( in(esk4_3(X1,esk2_1(X1),X2),esk3_2(X1,esk2_1(X1)))
| ~ in(esk2_1(X1),succ(esk1_0))
| ~ in(X2,esk3_2(X1,esk2_1(X1)))
| ~ in(esk2_1(X1),X1)
| ~ ordinal(esk2_1(X1)) ),
inference(er,[status(thm)],[c_0_231]) ).
cnf(c_0_237,negated_conjecture,
( esk3_2(X1,esk2_1(X1)) != empty_set
| ~ in(esk2_1(X1),succ(esk1_0))
| ~ in(esk2_1(X1),X1)
| ~ ordinal(esk2_1(X1)) ),
inference(er,[status(thm)],[c_0_232]) ).
cnf(c_0_238,negated_conjecture,
( X1 = empty_set
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| ~ in(esk4_3(X3,esk2_1(X3),esk31_3(X2,X4,X1)),X1)
| ~ in(esk31_3(X2,X4,X1),esk3_2(X3,esk2_1(X3)))
| ~ in(esk2_1(X3),succ(esk1_0))
| ~ in(esk30_2(X2,X4),omega)
| ~ in(X4,esk28_1(X2))
| ~ in(esk2_1(X3),X3)
| ~ element(X1,powerset(powerset(esk30_2(X2,X4))))
| ~ ordinal(esk2_1(X3))
| ~ ordinal(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_229]),c_0_230]) ).
cnf(c_0_239,plain,
( X1 = empty_set
| in(esk31_3(X2,X3,X1),X1)
| epred1_3(esk27_1(X2),esk26_1(X2),esk25_1(X2))
| ~ ordinal(X2)
| ~ in(X3,esk28_1(X2))
| ~ in(esk30_2(X2,X3),omega)
| ~ element(X1,powerset(powerset(esk30_2(X2,X3)))) ),
i_0_149 ).
cnf(c_0_240,plain,
( esk30_2(X1,X2) = X2
| epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
i_0_150 ).
cnf(c_0_241,plain,
( epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0))
| in(esk2_1(esk28_1(esk1_0)),esk28_1(esk1_0)) ),
inference(ef,[status(thm)],[c_0_234]) ).
cnf(c_0_242,negated_conjecture,
( in(esk2_1(X1),X1)
| ~ in(esk2_1(X2),succ(esk1_0))
| ~ in(esk5_1(X1),omega)
| ~ in(esk2_1(X2),X2)
| ~ element(esk3_2(X2,esk2_1(X2)),powerset(powerset(esk5_1(X1))))
| ~ ordinal(esk2_1(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_218]),c_0_237]) ).
cnf(c_0_243,negated_conjecture,
( epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| ~ in(esk2_1(X2),succ(esk1_0))
| ~ in(esk30_2(X1,X3),omega)
| ~ in(X3,esk28_1(X1))
| ~ in(esk2_1(X2),X2)
| ~ element(esk3_2(X2,esk2_1(X2)),powerset(powerset(esk30_2(X1,X3))))
| ~ ordinal(esk2_1(X2))
| ~ ordinal(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_236]),c_0_239]),c_0_237]) ).
cnf(c_0_244,plain,
( esk30_2(esk1_0,esk2_1(esk28_1(esk1_0))) = esk2_1(esk28_1(esk1_0))
| epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_213])]) ).
cnf(c_0_245,negated_conjecture,
( in(esk2_1(X1),X1)
| ~ in(esk2_1(X2),succ(esk1_0))
| ~ in(esk2_1(X1),omega)
| ~ in(esk2_1(X2),X2)
| ~ element(esk3_2(X2,esk2_1(X2)),powerset(powerset(esk2_1(X1))))
| ~ ordinal(esk2_1(X2)) ),
inference(spm,[status(thm)],[c_0_242,c_0_206]) ).
cnf(c_0_246,negated_conjecture,
( element(esk3_2(X1,X2),powerset(powerset(X2)))
| esk2_1(X1) != X2
| ~ ordinal(X2)
| ~ in(esk2_1(X1),X1)
| ~ in(esk2_1(X1),succ(esk1_0)) ),
i_0_10 ).
cnf(c_0_247,plain,
( ordinal(esk30_2(X1,X2))
| epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
i_0_151 ).
cnf(c_0_248,plain,
( esk29_2(X1,X2) = X2
| epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
i_0_152 ).
cnf(c_0_249,negated_conjecture,
( epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0))
| ~ in(esk2_1(esk28_1(esk1_0)),omega)
| ~ in(esk2_1(X1),succ(esk1_0))
| ~ in(esk2_1(X1),X1)
| ~ element(esk3_2(X1,esk2_1(X1)),powerset(powerset(esk2_1(esk28_1(esk1_0)))))
| ~ ordinal(esk2_1(X1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_213])]),c_0_245]) ).
cnf(c_0_250,negated_conjecture,
( element(esk3_2(X1,esk2_1(X1)),powerset(powerset(esk2_1(X1))))
| ~ in(esk2_1(X1),succ(esk1_0))
| ~ in(esk2_1(X1),X1)
| ~ ordinal(esk2_1(X1)) ),
inference(er,[status(thm)],[c_0_246]) ).
cnf(c_0_251,plain,
( epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0))
| ordinal(esk2_1(esk28_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_244]),c_0_213])]),c_0_214]) ).
cnf(c_0_252,plain,
( in(esk29_2(X1,X2),succ(X1))
| epred1_3(esk27_1(X1),esk26_1(X1),esk25_1(X1))
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
i_0_153 ).
cnf(c_0_253,plain,
( esk29_2(esk1_0,esk2_1(esk28_1(esk1_0))) = esk2_1(esk28_1(esk1_0))
| epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_241]),c_0_213])]) ).
cnf(c_0_254,plain,
( in(X1,esk28_1(X2))
| subset(X3,esk33_4(X2,X1,X4,X3))
| X1 != X5
| X1 != X4
| esk26_1(X2) != esk27_1(X2)
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X5,succ(X2))
| ~ in(X3,esk32_3(X2,X1,X4)) ),
i_0_131 ).
cnf(c_0_255,plain,
( in(X1,esk28_1(X2))
| X1 != X3
| X1 != X4
| esk26_1(X2) != esk27_1(X2)
| esk33_4(X2,X1,X4,X5) != X5
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X3,succ(X2))
| ~ in(X5,esk32_3(X2,X1,X4)) ),
i_0_130 ).
cnf(c_0_256,plain,
( in(X1,esk28_1(X2))
| in(esk33_4(X2,X1,X3,X4),esk32_3(X2,X1,X3))
| X1 != X5
| X1 != X3
| esk26_1(X2) != esk27_1(X2)
| ~ ordinal(X3)
| ~ ordinal(X2)
| ~ in(X5,succ(X2))
| ~ in(X4,esk32_3(X2,X1,X3)) ),
i_0_132 ).
cnf(c_0_257,plain,
( in(X1,esk28_1(X2))
| X1 != X3
| X1 != X4
| esk26_1(X2) != esk27_1(X2)
| esk32_3(X2,X1,X4) != empty_set
| ~ ordinal(X4)
| ~ ordinal(X2)
| ~ in(X3,succ(X2)) ),
i_0_133 ).
cnf(c_0_258,negated_conjecture,
( in(X1,omega)
| esk2_1(X2) != X1
| ~ ordinal(X1)
| ~ in(esk2_1(X2),X2)
| ~ in(esk2_1(X2),succ(esk1_0)) ),
i_0_11 ).
cnf(c_0_259,negated_conjecture,
( epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0))
| ~ in(esk2_1(esk28_1(esk1_0)),succ(esk1_0))
| ~ in(esk2_1(esk28_1(esk1_0)),omega) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]),c_0_241]) ).
cnf(c_0_260,plain,
( epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0))
| in(esk2_1(esk28_1(esk1_0)),succ(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_213])]),c_0_212]) ).
cnf(c_0_261,plain,
( in(X1,esk28_1(X2))
| subset(X3,esk33_4(X2,X1,X1,X3))
| esk26_1(X2) != esk27_1(X2)
| ~ in(X3,esk32_3(X2,X1,X1))
| ~ in(X1,succ(X2))
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_254])]) ).
cnf(c_0_262,plain,
( in(X1,esk28_1(X2))
| esk33_4(X2,X1,X1,X3) != X3
| esk26_1(X2) != esk27_1(X2)
| ~ in(X3,esk32_3(X2,X1,X1))
| ~ in(X1,succ(X2))
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_255])]) ).
cnf(c_0_263,plain,
( in(esk33_4(X1,X2,X2,X3),esk32_3(X1,X2,X2))
| in(X2,esk28_1(X1))
| esk26_1(X1) != esk27_1(X1)
| ~ in(X3,esk32_3(X1,X2,X2))
| ~ in(X2,succ(X1))
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_256])]) ).
cnf(c_0_264,plain,
( in(X1,esk28_1(X2))
| esk32_3(X2,X1,X1) != empty_set
| esk26_1(X2) != esk27_1(X2)
| ~ in(X1,succ(X2))
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_257])]) ).
cnf(c_0_265,negated_conjecture,
( in(esk2_1(X1),omega)
| ~ in(esk2_1(X1),succ(esk1_0))
| ~ in(esk2_1(X1),X1)
| ~ ordinal(esk2_1(X1)) ),
inference(er,[status(thm)],[c_0_258]) ).
cnf(c_0_266,negated_conjecture,
( epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0))
| ~ in(esk2_1(esk28_1(esk1_0)),omega) ),
inference(spm,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_267,negated_conjecture,
( X1 = empty_set
| in(X2,esk28_1(X3))
| in(esk2_1(X4),X4)
| esk26_1(X3) != esk27_1(X3)
| ~ in(esk33_4(X3,X2,X2,esk6_2(X4,X1)),X1)
| ~ in(esk6_2(X4,X1),esk32_3(X3,X2,X2))
| ~ in(esk5_1(X4),omega)
| ~ in(X2,succ(X3))
| ~ element(X1,powerset(powerset(esk5_1(X4))))
| ~ ordinal(X2)
| ~ ordinal(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_261]),c_0_262]) ).
cnf(c_0_268,negated_conjecture,
( in(esk33_4(esk1_0,esk2_1(X1),esk2_1(X1),X2),esk32_3(esk1_0,esk2_1(X1),esk2_1(X1)))
| in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X1),X1)
| esk26_1(esk1_0) != esk27_1(esk1_0)
| ~ in(X2,esk32_3(esk1_0,esk2_1(X1),esk2_1(X1))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_269,negated_conjecture,
( in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X1),X1)
| esk32_3(esk1_0,esk2_1(X1),esk2_1(X1)) != empty_set
| esk26_1(esk1_0) != esk27_1(esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_270,plain,
( in(X1,omega)
| in(X2,esk28_1(X3))
| X2 != X4
| X1 != X2
| esk26_1(X3) != esk27_1(X3)
| ~ ordinal(X3)
| ~ ordinal(X1)
| ~ in(X4,succ(X3)) ),
i_0_135 ).
cnf(c_0_271,plain,
( X1 = X2
| ~ epred1_3(X3,X2,X1) ),
i_0_163 ).
cnf(c_0_272,negated_conjecture,
epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk25_1(esk1_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_260]),c_0_251]),c_0_241]),c_0_266]) ).
cnf(c_0_273,negated_conjecture,
( in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X1),X1)
| in(esk2_1(X2),X2)
| esk26_1(esk1_0) != esk27_1(esk1_0)
| ~ in(esk5_1(X2),omega)
| ~ element(esk32_3(esk1_0,esk2_1(X1),esk2_1(X1)),powerset(powerset(esk5_1(X2)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_213])]),c_0_214]),c_0_212]),c_0_218]),c_0_269]) ).
cnf(c_0_274,plain,
( in(X1,esk28_1(X2))
| element(esk32_3(X2,X1,X3),powerset(powerset(X3)))
| X1 != X4
| X1 != X3
| esk26_1(X2) != esk27_1(X2)
| ~ ordinal(X3)
| ~ ordinal(X2)
| ~ in(X4,succ(X2)) ),
i_0_134 ).
cnf(c_0_275,plain,
( in(X1,esk28_1(X2))
| in(X1,omega)
| esk26_1(X2) != esk27_1(X2)
| ~ in(X1,succ(X2))
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_270])]) ).
cnf(c_0_276,plain,
esk25_1(esk1_0) = esk26_1(esk1_0),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_277,negated_conjecture,
( in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X2),X2)
| in(esk2_1(X1),X1)
| esk26_1(esk1_0) != esk27_1(esk1_0)
| ~ in(esk2_1(X2),omega)
| ~ element(esk32_3(esk1_0,esk2_1(X1),esk2_1(X1)),powerset(powerset(esk2_1(X2)))) ),
inference(spm,[status(thm)],[c_0_273,c_0_206]) ).
cnf(c_0_278,plain,
( in(X1,esk28_1(X2))
| element(esk32_3(X2,X1,X1),powerset(powerset(X1)))
| esk26_1(X2) != esk27_1(X2)
| ~ in(X1,succ(X2))
| ~ ordinal(X1)
| ~ ordinal(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_274])]) ).
cnf(c_0_279,negated_conjecture,
( in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X1),omega)
| in(esk2_1(X1),X1)
| esk26_1(esk1_0) != esk27_1(esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_212]),c_0_213])]),c_0_214]) ).
cnf(c_0_280,plain,
( X1 = X2
| ~ epred1_3(X2,X3,X1) ),
i_0_158 ).
cnf(c_0_281,negated_conjecture,
epred1_3(esk27_1(esk1_0),esk26_1(esk1_0),esk26_1(esk1_0)),
inference(rw,[status(thm)],[c_0_272,c_0_276]) ).
cnf(c_0_282,plain,
( in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X1),X1)
| esk26_1(esk1_0) != esk27_1(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_213])]),c_0_214]),c_0_279]),c_0_212]) ).
cnf(c_0_283,plain,
esk26_1(esk1_0) = esk27_1(esk1_0),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_284,plain,
( in(esk2_1(X1),esk28_1(esk1_0))
| in(esk2_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_283])]) ).
cnf(c_0_285,plain,
( esk29_2(X1,X2) = X2
| esk26_1(X1) != esk27_1(X1)
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
i_0_140 ).
cnf(c_0_286,plain,
in(esk2_1(esk28_1(esk1_0)),esk28_1(esk1_0)),
inference(ef,[status(thm)],[c_0_284]) ).
cnf(c_0_287,plain,
( esk30_2(X1,X2) = X2
| esk26_1(X1) != esk27_1(X1)
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
i_0_138 ).
cnf(c_0_288,plain,
( X1 = empty_set
| X2 = esk31_3(X3,X4,X1)
| esk26_1(X3) != esk27_1(X3)
| ~ ordinal(X3)
| ~ in(X2,X1)
| ~ in(X4,esk28_1(X3))
| ~ in(esk30_2(X3,X4),omega)
| ~ subset(esk31_3(X3,X4,X1),X2)
| ~ element(X1,powerset(powerset(esk30_2(X3,X4)))) ),
i_0_136 ).
cnf(c_0_289,plain,
( in(esk29_2(X1,X2),succ(X1))
| esk26_1(X1) != esk27_1(X1)
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
i_0_141 ).
cnf(c_0_290,plain,
esk29_2(esk1_0,esk2_1(esk28_1(esk1_0))) = esk2_1(esk28_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_283]),c_0_213])]) ).
cnf(c_0_291,plain,
( ordinal(esk30_2(X1,X2))
| esk26_1(X1) != esk27_1(X1)
| ~ ordinal(X1)
| ~ in(X2,esk28_1(X1)) ),
i_0_139 ).
cnf(c_0_292,plain,
esk30_2(esk1_0,esk2_1(esk28_1(esk1_0))) = esk2_1(esk28_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_286]),c_0_283]),c_0_213])]) ).
cnf(c_0_293,negated_conjecture,
( X1 = empty_set
| esk26_1(X2) != esk27_1(X2)
| ~ in(esk4_3(X3,esk2_1(X3),esk31_3(X2,X4,X1)),X1)
| ~ in(esk31_3(X2,X4,X1),esk3_2(X3,esk2_1(X3)))
| ~ in(esk2_1(X3),succ(esk1_0))
| ~ in(esk30_2(X2,X4),omega)
| ~ in(X4,esk28_1(X2))
| ~ in(esk2_1(X3),X3)
| ~ element(X1,powerset(powerset(esk30_2(X2,X4))))
| ~ ordinal(esk2_1(X3))
| ~ ordinal(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_229]),c_0_230]) ).
cnf(c_0_294,plain,
( X1 = empty_set
| in(esk31_3(X2,X3,X1),X1)
| esk26_1(X2) != esk27_1(X2)
| ~ ordinal(X2)
| ~ in(X3,esk28_1(X2))
| ~ in(esk30_2(X2,X3),omega)
| ~ element(X1,powerset(powerset(esk30_2(X2,X3)))) ),
i_0_137 ).
cnf(c_0_295,plain,
in(esk2_1(esk28_1(esk1_0)),succ(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_283]),c_0_286]),c_0_213])]) ).
cnf(c_0_296,plain,
ordinal(esk2_1(esk28_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_283]),c_0_286]),c_0_213])]) ).
cnf(c_0_297,negated_conjecture,
( esk26_1(X1) != esk27_1(X1)
| ~ in(esk2_1(X2),succ(esk1_0))
| ~ in(esk30_2(X1,X3),omega)
| ~ in(X3,esk28_1(X1))
| ~ in(esk2_1(X2),X2)
| ~ element(esk3_2(X2,esk2_1(X2)),powerset(powerset(esk30_2(X1,X3))))
| ~ ordinal(esk2_1(X2))
| ~ ordinal(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_236]),c_0_294]),c_0_237]) ).
cnf(c_0_298,negated_conjecture,
in(esk2_1(esk28_1(esk1_0)),omega),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_295]),c_0_286]),c_0_296])]) ).
cnf(c_0_299,negated_conjecture,
( ~ in(esk2_1(X1),succ(esk1_0))
| ~ in(esk2_1(X1),X1)
| ~ element(esk3_2(X1,esk2_1(X1)),powerset(powerset(esk2_1(esk28_1(esk1_0)))))
| ~ ordinal(esk2_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_292]),c_0_283]),c_0_286]),c_0_213])]),c_0_298])]) ).
cnf(c_0_300,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_250]),c_0_295]),c_0_286]),c_0_296])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU299+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 20 09:31:27 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected complete mode:
% 17.60/3.66 # ENIGMATIC: Solved by autoschedule:
% 17.60/3.66 # No SInE strategy applied
% 17.60/3.66 # Trying AutoSched0 for 150 seconds
% 17.60/3.66 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 17.60/3.66 # and selection function SelectMaxLComplexAvoidPosPred.
% 17.60/3.66 #
% 17.60/3.66 # Preprocessing time : 0.029 s
% 17.60/3.66 # Presaturation interreduction done
% 17.60/3.66
% 17.60/3.66 # Proof found!
% 17.60/3.66 # SZS status Theorem
% 17.60/3.66 # SZS output start CNFRefutation
% See solution above
% 17.60/3.66 # Training examples: 0 positive, 0 negative
% 17.60/3.66
% 17.60/3.66 # -------------------------------------------------
% 17.60/3.66 # User time : 1.185 s
% 17.60/3.66 # System time : 0.018 s
% 17.60/3.66 # Total time : 1.203 s
% 17.60/3.66 # Maximum resident set size: 7120 pages
% 17.60/3.66
%------------------------------------------------------------------------------