TSTP Solution File: ITP002+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ITP002+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 22:33:54 EDT 2022
% Result : Theorem 156.60s 21.27s
% Output : CNFRefutation 156.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 30
% Syntax : Number of clauses : 161 ( 77 unt; 8 nHn; 161 RR)
% Number of literals : 329 ( 70 equ; 167 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 147 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
( mem(ap(X1,X2),X3)
| ~ mem(X2,X4)
| ~ mem(X1,arr(X4,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_1) ).
cnf(i_0_26,negated_conjecture,
mem(esk6_0,esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_26) ).
cnf(i_0_25,negated_conjecture,
mem(esk7_0,esk4_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_25) ).
cnf(i_0_27,negated_conjecture,
mem(esk5_0,arr(esk3_0,arr(esk4_0,esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_27) ).
cnf(i_0_47,plain,
( mem(c_2Eoption_2ESOME(X1),arr(X1,ty_2Eoption_2Eoption(X1)))
| ~ ne(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_47) ).
cnf(i_0_28,negated_conjecture,
ne(esk4_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_28) ).
cnf(i_0_41,plain,
mem(c_2Ebool_2EF,bool),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_41) ).
cnf(i_0_29,negated_conjecture,
ne(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_29) ).
cnf(i_0_40,plain,
( mem(c_2Ebool_2ECOND(X1),arr(bool,arr(X1,arr(X1,X1))))
| ~ ne(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_40) ).
cnf(i_0_21,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2EF),X2),X3) = X3
| ~ ne(X1)
| ~ mem(X3,X1)
| ~ mem(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_21) ).
cnf(i_0_45,plain,
( mem(c_2Eoption_2ENONE(X1),ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_45) ).
cnf(i_0_49,plain,
( ne(ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_49) ).
cnf(i_0_42,plain,
mem(c_2Ebool_2ET,bool),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_42) ).
cnf(i_0_30,negated_conjecture,
ne(esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_30) ).
cnf(i_0_22,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2ET),X2),X3) = X2
| ~ ne(X1)
| ~ mem(X3,X1)
| ~ mem(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_22) ).
cnf(i_0_48,plain,
( mem(c_2Eoption_2ETHE(X1),arr(ty_2Eoption_2Eoption(X1),X1))
| ~ ne(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_48) ).
cnf(i_0_18,plain,
( X1 = X2
| ~ p(X2)
| ~ p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_18) ).
cnf(i_0_16,plain,
p(c_2Ebool_2ET),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_16) ).
cnf(i_0_44,plain,
( mem(c_2Eoption_2EIS__SOME(X1),arr(ty_2Eoption_2Eoption(X1),bool))
| ~ ne(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_44) ).
cnf(i_0_13,plain,
( p(ap(c_2Eoption_2EIS__SOME(X1),ap(c_2Eoption_2ESOME(X1),X2)))
| ~ ne(X1)
| ~ mem(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_13) ).
cnf(i_0_39,plain,
mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_39) ).
cnf(i_0_6,plain,
( p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2))
| ~ p(X2)
| ~ p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_6) ).
cnf(i_0_15,plain,
( ap(c_2Eoption_2ETHE(X1),ap(c_2Eoption_2ESOME(X1),X2)) = X2
| ~ ne(X1)
| ~ mem(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_15) ).
cnf(i_0_14,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(X2),X3)),ap(c_2Eoption_2EIS__SOME(X4),X5))),ap(c_2Eoption_2ESOME(X1),ap(ap(X6,ap(c_2Eoption_2ETHE(X2),X3)),ap(c_2Eoption_2ETHE(X4),X5)))),c_2Eoption_2ENONE(X1)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X1,X2,X4),X6),X3),X5)
| ~ ne(X4)
| ~ ne(X2)
| ~ ne(X1)
| ~ mem(X5,ty_2Eoption_2Eoption(X4))
| ~ mem(X3,ty_2Eoption_2Eoption(X2))
| ~ mem(X6,arr(X2,arr(X4,X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_14) ).
cnf(i_0_17,plain,
( X1 = X2
| p(X2)
| p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_17) ).
cnf(i_0_11,plain,
~ p(c_2Ebool_2EF),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_11) ).
cnf(i_0_12,plain,
( ~ ne(X1)
| ~ p(ap(c_2Eoption_2EIS__SOME(X1),c_2Eoption_2ENONE(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_12) ).
cnf(i_0_8,plain,
( p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_8) ).
cnf(i_0_7,plain,
( p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X2),X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_7) ).
cnf(i_0_24,negated_conjecture,
( ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),c_2Eoption_2ENONE(esk4_0)) != c_2Eoption_2ENONE(esk2_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)) != c_2Eoption_2ENONE(esk2_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),c_2Eoption_2ENONE(esk4_0)) != c_2Eoption_2ENONE(esk2_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)) != ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),esk7_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mxubub3g/input.p',i_0_24) ).
cnf(c_0_80,plain,
( mem(ap(X1,X2),X3)
| ~ mem(X2,X4)
| ~ mem(X1,arr(X4,X3)) ),
i_0_1 ).
cnf(c_0_81,negated_conjecture,
mem(esk6_0,esk3_0),
i_0_26 ).
cnf(c_0_82,negated_conjecture,
mem(esk7_0,esk4_0),
i_0_25 ).
cnf(c_0_83,negated_conjecture,
( mem(ap(X1,esk6_0),X2)
| ~ mem(X1,arr(esk3_0,X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_84,negated_conjecture,
mem(esk5_0,arr(esk3_0,arr(esk4_0,esk2_0))),
i_0_27 ).
cnf(c_0_85,negated_conjecture,
( mem(ap(X1,esk7_0),X2)
| ~ mem(X1,arr(esk4_0,X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_82]) ).
cnf(c_0_86,plain,
( mem(c_2Eoption_2ESOME(X1),arr(X1,ty_2Eoption_2Eoption(X1)))
| ~ ne(X1) ),
i_0_47 ).
cnf(c_0_87,negated_conjecture,
ne(esk4_0),
i_0_28 ).
cnf(c_0_88,plain,
mem(c_2Ebool_2EF,bool),
i_0_41 ).
cnf(c_0_89,negated_conjecture,
ne(esk3_0),
i_0_29 ).
cnf(c_0_90,negated_conjecture,
mem(ap(esk5_0,esk6_0),arr(esk4_0,esk2_0)),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_91,plain,
mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87])]) ).
cnf(c_0_92,plain,
( mem(ap(X1,c_2Ebool_2EF),X2)
| ~ mem(X1,arr(bool,X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_88]) ).
cnf(c_0_93,plain,
( mem(c_2Ebool_2ECOND(X1),arr(bool,arr(X1,arr(X1,X1))))
| ~ ne(X1) ),
i_0_40 ).
cnf(c_0_94,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2EF),X2),X3) = X3
| ~ ne(X1)
| ~ mem(X3,X1)
| ~ mem(X2,X1) ),
i_0_21 ).
cnf(c_0_95,plain,
( mem(c_2Eoption_2ENONE(X1),ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
i_0_45 ).
cnf(c_0_96,plain,
mem(ap(c_2Eoption_2ESOME(esk3_0),esk6_0),ty_2Eoption_2Eoption(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_86]),c_0_89])]) ).
cnf(c_0_97,negated_conjecture,
mem(ap(ap(esk5_0,esk6_0),esk7_0),esk2_0),
inference(spm,[status(thm)],[c_0_85,c_0_90]) ).
cnf(c_0_98,plain,
( mem(ap(X1,ap(c_2Eoption_2ESOME(esk4_0),esk7_0)),X2)
| ~ mem(X1,arr(ty_2Eoption_2Eoption(esk4_0),X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_91]) ).
cnf(c_0_99,plain,
( mem(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2EF),arr(X1,arr(X1,X1)))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_100,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),c_2Ebool_2EF),X2),c_2Eoption_2ENONE(X1)) = c_2Eoption_2ENONE(X1)
| ~ mem(X2,ty_2Eoption_2Eoption(X1))
| ~ ne(ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_101,plain,
( ne(ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
i_0_49 ).
cnf(c_0_102,plain,
( mem(ap(X1,ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),X2)
| ~ mem(X1,arr(ty_2Eoption_2Eoption(esk3_0),X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_96]) ).
cnf(c_0_103,plain,
mem(c_2Ebool_2ET,bool),
i_0_42 ).
cnf(c_0_104,plain,
( mem(ap(X1,ap(ap(esk5_0,esk6_0),esk7_0)),X2)
| ~ mem(X1,arr(esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_97]) ).
cnf(c_0_105,negated_conjecture,
ne(esk2_0),
i_0_30 ).
cnf(c_0_106,plain,
( mem(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk4_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)),arr(ty_2Eoption_2Eoption(esk4_0),ty_2Eoption_2Eoption(esk4_0)))
| ~ ne(ty_2Eoption_2Eoption(esk4_0)) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_107,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),c_2Ebool_2EF),X2),c_2Eoption_2ENONE(X1)) = c_2Eoption_2ENONE(X1)
| ~ mem(X2,ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_108,plain,
( mem(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),arr(ty_2Eoption_2Eoption(esk3_0),ty_2Eoption_2Eoption(esk3_0)))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_99]) ).
cnf(c_0_109,plain,
( mem(ap(X1,c_2Ebool_2ET),X2)
| ~ mem(X1,arr(bool,X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_103]) ).
cnf(c_0_110,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2ET),X2),X3) = X2
| ~ ne(X1)
| ~ mem(X3,X1)
| ~ mem(X2,X1) ),
i_0_22 ).
cnf(c_0_111,plain,
mem(ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),esk7_0)),ty_2Eoption_2Eoption(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_86]),c_0_105])]) ).
cnf(c_0_112,plain,
( mem(ap(X1,c_2Eoption_2ENONE(X2)),X3)
| ~ mem(X1,arr(ty_2Eoption_2Eoption(X2),X3))
| ~ ne(X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_95]) ).
cnf(c_0_113,plain,
( mem(c_2Eoption_2ETHE(X1),arr(ty_2Eoption_2Eoption(X1),X1))
| ~ ne(X1) ),
i_0_48 ).
cnf(c_0_114,plain,
mem(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk4_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)),arr(ty_2Eoption_2Eoption(esk4_0),ty_2Eoption_2Eoption(esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_101]),c_0_87])]) ).
cnf(c_0_115,plain,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk4_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)),c_2Eoption_2ENONE(esk4_0)) = c_2Eoption_2ENONE(esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_91]),c_0_87])]) ).
cnf(c_0_116,plain,
mem(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),arr(ty_2Eoption_2Eoption(esk3_0),ty_2Eoption_2Eoption(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_101]),c_0_89])]) ).
cnf(c_0_117,plain,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),c_2Eoption_2ENONE(esk3_0)) = c_2Eoption_2ENONE(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_96]),c_0_89])]) ).
cnf(c_0_118,plain,
( X1 = X2
| ~ p(X2)
| ~ p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
i_0_18 ).
cnf(c_0_119,plain,
p(c_2Ebool_2ET),
i_0_16 ).
cnf(c_0_120,plain,
( mem(c_2Eoption_2EIS__SOME(X1),arr(ty_2Eoption_2Eoption(X1),bool))
| ~ ne(X1) ),
i_0_44 ).
cnf(c_0_121,plain,
( p(ap(c_2Eoption_2EIS__SOME(X1),ap(c_2Eoption_2ESOME(X1),X2)))
| ~ ne(X1)
| ~ mem(X2,X1) ),
i_0_13 ).
cnf(c_0_122,plain,
mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
i_0_39 ).
cnf(c_0_123,plain,
( p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2))
| ~ p(X2)
| ~ p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
i_0_6 ).
cnf(c_0_124,plain,
( mem(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2ET),arr(X1,arr(X1,X1)))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_93]) ).
cnf(c_0_125,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk2_0)),c_2Ebool_2ET),X1),ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),esk7_0))) = X1
| ~ mem(X1,ty_2Eoption_2Eoption(esk2_0))
| ~ ne(ty_2Eoption_2Eoption(esk2_0)) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_126,plain,
( mem(ap(c_2Eoption_2ETHE(X1),c_2Eoption_2ENONE(X1)),X1)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_127,plain,
mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_114]),c_0_115]),c_0_87])]) ).
cnf(c_0_128,plain,
mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_116]),c_0_117]),c_0_89])]) ).
cnf(c_0_129,plain,
( ap(c_2Eoption_2ETHE(X1),ap(c_2Eoption_2ESOME(X1),X2)) = X2
| ~ ne(X1)
| ~ mem(X2,X1) ),
i_0_15 ).
cnf(c_0_130,plain,
( X1 = c_2Ebool_2ET
| ~ mem(X1,bool)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_103]),c_0_119])]) ).
cnf(c_0_131,plain,
mem(ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)),bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_120]),c_0_87])]) ).
cnf(c_0_132,negated_conjecture,
p(ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_82]),c_0_87])]) ).
cnf(c_0_133,plain,
mem(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),arr(bool,bool)),
inference(spm,[status(thm)],[c_0_109,c_0_122]) ).
cnf(c_0_134,plain,
( p(ap(ap(c_2Ebool_2E_2F_5C,X1),c_2Ebool_2ET))
| ~ mem(X1,bool)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_103]),c_0_119])]) ).
cnf(c_0_135,plain,
( mem(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),c_2Ebool_2ET),c_2Eoption_2ENONE(X1)),arr(ty_2Eoption_2Eoption(X1),ty_2Eoption_2Eoption(X1)))
| ~ ne(ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_124]) ).
cnf(c_0_136,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk2_0)),c_2Ebool_2ET),X1),ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),esk7_0))) = X1
| ~ mem(X1,ty_2Eoption_2Eoption(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_101]),c_0_105])]) ).
cnf(c_0_137,plain,
( mem(ap(X1,ap(c_2Eoption_2ETHE(X2),c_2Eoption_2ENONE(X2))),X3)
| ~ mem(X1,arr(X2,X3))
| ~ ne(X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_126]) ).
cnf(c_0_138,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(X2),X3)),ap(c_2Eoption_2EIS__SOME(X4),X5))),ap(c_2Eoption_2ESOME(X1),ap(ap(X6,ap(c_2Eoption_2ETHE(X2),X3)),ap(c_2Eoption_2ETHE(X4),X5)))),c_2Eoption_2ENONE(X1)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X1,X2,X4),X6),X3),X5)
| ~ ne(X4)
| ~ ne(X2)
| ~ ne(X1)
| ~ mem(X5,ty_2Eoption_2Eoption(X4))
| ~ mem(X3,ty_2Eoption_2Eoption(X2))
| ~ mem(X6,arr(X2,arr(X4,X1))) ),
i_0_14 ).
cnf(c_0_139,plain,
( X1 = X2
| p(X2)
| p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
i_0_17 ).
cnf(c_0_140,plain,
~ p(c_2Ebool_2EF),
i_0_11 ).
cnf(c_0_141,plain,
( mem(ap(X1,c_2Eoption_2ENONE(esk4_0)),X2)
| ~ mem(X1,arr(ty_2Eoption_2Eoption(esk4_0),X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_127]) ).
cnf(c_0_142,plain,
( mem(ap(X1,c_2Eoption_2ENONE(esk3_0)),X2)
| ~ mem(X1,arr(ty_2Eoption_2Eoption(esk3_0),X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_128]) ).
cnf(c_0_143,plain,
mem(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),arr(bool,bool)),
inference(spm,[status(thm)],[c_0_92,c_0_122]) ).
cnf(c_0_144,negated_conjecture,
ap(c_2Eoption_2ETHE(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_82]),c_0_87])]) ).
cnf(c_0_145,plain,
ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)) = c_2Ebool_2ET,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132])]) ).
cnf(c_0_146,plain,
mem(ap(c_2Eoption_2EIS__SOME(esk3_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_120]),c_0_89])]) ).
cnf(c_0_147,negated_conjecture,
p(ap(c_2Eoption_2EIS__SOME(esk3_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_81]),c_0_89])]) ).
cnf(c_0_148,plain,
mem(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2ET),bool),
inference(spm,[status(thm)],[c_0_109,c_0_133]) ).
cnf(c_0_149,plain,
p(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2ET)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_103]),c_0_119])]) ).
cnf(c_0_150,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),c_2Ebool_2ET),X2),c_2Eoption_2ENONE(X1)) = X2
| ~ mem(X2,ty_2Eoption_2Eoption(X1))
| ~ ne(ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_95]) ).
cnf(c_0_151,plain,
( mem(ap(X1,ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),esk7_0))),X2)
| ~ mem(X1,arr(ty_2Eoption_2Eoption(esk2_0),X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_111]) ).
cnf(c_0_152,plain,
( mem(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),c_2Ebool_2ET),c_2Eoption_2ENONE(X1)),arr(ty_2Eoption_2Eoption(X1),ty_2Eoption_2Eoption(X1)))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_101]) ).
cnf(c_0_153,plain,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk2_0)),c_2Ebool_2ET),c_2Eoption_2ENONE(esk2_0)),ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),esk7_0))) = c_2Eoption_2ENONE(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_95]),c_0_105])]) ).
cnf(c_0_154,negated_conjecture,
mem(ap(esk5_0,ap(c_2Eoption_2ETHE(esk3_0),c_2Eoption_2ENONE(esk3_0))),arr(esk4_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_84]),c_0_89])]) ).
cnf(c_0_155,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(X2),X3)),ap(c_2Eoption_2EIS__SOME(X4),c_2Eoption_2ENONE(X4)))),ap(c_2Eoption_2ESOME(X1),ap(ap(X5,ap(c_2Eoption_2ETHE(X2),X3)),ap(c_2Eoption_2ETHE(X4),c_2Eoption_2ENONE(X4))))),c_2Eoption_2ENONE(X1)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X1,X2,X4),X5),X3),c_2Eoption_2ENONE(X4))
| ~ mem(X5,arr(X2,arr(X4,X1)))
| ~ mem(X3,ty_2Eoption_2Eoption(X2))
| ~ ne(X4)
| ~ ne(X2)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_95]) ).
cnf(c_0_156,plain,
( X1 = c_2Ebool_2EF
| p(X1)
| ~ mem(X1,bool) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_88]),c_0_140]) ).
cnf(c_0_157,plain,
mem(ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0)),bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_120]),c_0_87])]) ).
cnf(c_0_158,plain,
mem(ap(c_2Eoption_2EIS__SOME(esk3_0),c_2Eoption_2ENONE(esk3_0)),bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_120]),c_0_89])]) ).
cnf(c_0_159,plain,
mem(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF),bool),
inference(spm,[status(thm)],[c_0_92,c_0_143]) ).
cnf(c_0_160,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(X2),X3)),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(X1),ap(ap(X4,ap(c_2Eoption_2ETHE(X2),X3)),esk7_0))),c_2Eoption_2ENONE(X1)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X1,X2,esk4_0),X4),X3),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))
| ~ mem(X4,arr(X2,arr(esk4_0,X1)))
| ~ mem(X3,ty_2Eoption_2Eoption(X2))
| ~ ne(X2)
| ~ ne(X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_91]),c_0_144]),c_0_87])]),c_0_145]) ).
cnf(c_0_161,negated_conjecture,
ap(c_2Eoption_2ETHE(esk3_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)) = esk6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_81]),c_0_89])]) ).
cnf(c_0_162,plain,
ap(c_2Eoption_2EIS__SOME(esk3_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)) = c_2Ebool_2ET,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_146]),c_0_147])]) ).
cnf(c_0_163,plain,
ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2ET) = c_2Ebool_2ET,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_148]),c_0_149])]) ).
cnf(c_0_164,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),c_2Ebool_2ET),X2),c_2Eoption_2ENONE(X1)) = X2
| ~ mem(X2,ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_101]) ).
cnf(c_0_165,plain,
mem(c_2Eoption_2ENONE(esk2_0),ty_2Eoption_2Eoption(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]),c_0_105])]) ).
cnf(c_0_166,plain,
mem(ap(ap(esk5_0,ap(c_2Eoption_2ETHE(esk3_0),c_2Eoption_2ENONE(esk3_0))),ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_154]),c_0_87])]) ).
cnf(c_0_167,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(X2),c_2Eoption_2ENONE(X2))),ap(c_2Eoption_2EIS__SOME(X3),c_2Eoption_2ENONE(X3)))),ap(c_2Eoption_2ESOME(X1),ap(ap(X4,ap(c_2Eoption_2ETHE(X2),c_2Eoption_2ENONE(X2))),ap(c_2Eoption_2ETHE(X3),c_2Eoption_2ENONE(X3))))),c_2Eoption_2ENONE(X1)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X1,X2,X3),X4),c_2Eoption_2ENONE(X2)),c_2Eoption_2ENONE(X3))
| ~ mem(X4,arr(X2,arr(X3,X1)))
| ~ ne(X3)
| ~ ne(X2)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_95]) ).
cnf(c_0_168,plain,
( ~ ne(X1)
| ~ p(ap(c_2Eoption_2EIS__SOME(X1),c_2Eoption_2ENONE(X1))) ),
i_0_12 ).
cnf(c_0_169,plain,
( ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0)) = c_2Ebool_2EF
| p(ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_170,plain,
( ap(c_2Eoption_2EIS__SOME(esk3_0),c_2Eoption_2ENONE(esk3_0)) = c_2Ebool_2EF
| p(ap(c_2Eoption_2EIS__SOME(esk3_0),c_2Eoption_2ENONE(esk3_0))) ),
inference(spm,[status(thm)],[c_0_156,c_0_158]) ).
cnf(c_0_171,plain,
( p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2)) ),
i_0_8 ).
cnf(c_0_172,plain,
( ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF) = c_2Ebool_2EF
| p(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF)) ),
inference(spm,[status(thm)],[c_0_156,c_0_159]) ).
cnf(c_0_173,plain,
mem(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF),bool),
inference(spm,[status(thm)],[c_0_92,c_0_133]) ).
cnf(c_0_174,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),c_2Ebool_2ET),ap(c_2Eoption_2ESOME(X1),ap(ap(X2,esk6_0),esk7_0))),c_2Eoption_2ENONE(X1)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X1,esk3_0,esk4_0),X2),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))
| ~ mem(X2,arr(esk3_0,arr(esk4_0,X1)))
| ~ ne(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_96]),c_0_161]),c_0_89])]),c_0_162]),c_0_163]) ).
cnf(c_0_175,plain,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk2_0)),c_2Ebool_2ET),ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),esk7_0))),c_2Eoption_2ENONE(esk2_0)) = ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_111]),c_0_105])]) ).
cnf(c_0_176,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk2_0)),c_2Ebool_2EF),X1),c_2Eoption_2ENONE(esk2_0)) = c_2Eoption_2ENONE(esk2_0)
| ~ mem(X1,ty_2Eoption_2Eoption(esk2_0))
| ~ ne(ty_2Eoption_2Eoption(esk2_0)) ),
inference(spm,[status(thm)],[c_0_94,c_0_165]) ).
cnf(c_0_177,plain,
( mem(ap(X1,ap(ap(esk5_0,ap(c_2Eoption_2ETHE(esk3_0),c_2Eoption_2ENONE(esk3_0))),ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0)))),X2)
| ~ mem(X1,arr(esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_166]) ).
cnf(c_0_178,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk2_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk3_0),c_2Eoption_2ENONE(esk3_0))),ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0)))),ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,ap(c_2Eoption_2ETHE(esk3_0),c_2Eoption_2ENONE(esk3_0))),ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))))),c_2Eoption_2ENONE(esk2_0)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),c_2Eoption_2ENONE(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_84]),c_0_87]),c_0_89]),c_0_105])]) ).
cnf(c_0_179,plain,
ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0)) = c_2Ebool_2EF,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_87])]) ).
cnf(c_0_180,plain,
ap(c_2Eoption_2EIS__SOME(esk3_0),c_2Eoption_2ENONE(esk3_0)) = c_2Ebool_2EF,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_170]),c_0_89])]) ).
cnf(c_0_181,plain,
ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF) = c_2Ebool_2EF,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_88])]),c_0_140]) ).
cnf(c_0_182,negated_conjecture,
mem(ap(ap(esk5_0,esk6_0),ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_90]),c_0_87])]) ).
cnf(c_0_183,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),ap(c_2Eoption_2EIS__SOME(X2),c_2Eoption_2ENONE(X2)))),ap(c_2Eoption_2ESOME(X1),ap(ap(X3,esk6_0),ap(c_2Eoption_2ETHE(X2),c_2Eoption_2ENONE(X2))))),c_2Eoption_2ENONE(X1)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X1,esk3_0,X2),X3),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),c_2Eoption_2ENONE(X2))
| ~ mem(X3,arr(esk3_0,arr(X2,X1)))
| ~ ne(X2)
| ~ ne(X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_96]),c_0_161]),c_0_89])]),c_0_162]) ).
cnf(c_0_184,plain,
( p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X2),X1)) ),
i_0_7 ).
cnf(c_0_185,plain,
( ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF) = c_2Ebool_2EF
| p(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF)) ),
inference(spm,[status(thm)],[c_0_156,c_0_173]) ).
cnf(c_0_186,plain,
mem(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2ET),bool),
inference(spm,[status(thm)],[c_0_109,c_0_143]) ).
cnf(c_0_187,negated_conjecture,
( ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),c_2Eoption_2ENONE(esk4_0)) != c_2Eoption_2ENONE(esk2_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)) != c_2Eoption_2ENONE(esk2_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),c_2Eoption_2ENONE(esk4_0)) != c_2Eoption_2ENONE(esk2_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)) != ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),esk7_0)) ),
i_0_24 ).
cnf(c_0_188,negated_conjecture,
ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)) = ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),esk7_0)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_84]),c_0_105])]),c_0_175]) ).
cnf(c_0_189,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk2_0)),c_2Ebool_2EF),X1),c_2Eoption_2ENONE(esk2_0)) = c_2Eoption_2ENONE(esk2_0)
| ~ mem(X1,ty_2Eoption_2Eoption(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_101]),c_0_105])]) ).
cnf(c_0_190,plain,
mem(ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,ap(c_2Eoption_2ETHE(esk3_0),c_2Eoption_2ENONE(esk3_0))),ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0)))),ty_2Eoption_2Eoption(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_86]),c_0_105])]) ).
cnf(c_0_191,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk2_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,ap(c_2Eoption_2ETHE(esk3_0),c_2Eoption_2ENONE(esk3_0))),ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))))),c_2Eoption_2ENONE(esk2_0)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),c_2Eoption_2ENONE(esk4_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179]),c_0_180]),c_0_181]) ).
cnf(c_0_192,plain,
( mem(ap(X1,ap(ap(esk5_0,esk6_0),ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0)))),X2)
| ~ mem(X1,arr(esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_182]) ).
cnf(c_0_193,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk2_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0)))),ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))))),c_2Eoption_2ENONE(esk2_0)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),c_2Eoption_2ENONE(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_84]),c_0_87]),c_0_105])]) ).
cnf(c_0_194,plain,
ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF) = c_2Ebool_2EF,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_103]),c_0_88])]),c_0_140]) ).
cnf(c_0_195,negated_conjecture,
mem(ap(ap(esk5_0,ap(c_2Eoption_2ETHE(esk3_0),c_2Eoption_2ENONE(esk3_0))),esk7_0),esk2_0),
inference(spm,[status(thm)],[c_0_85,c_0_154]) ).
cnf(c_0_196,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(X2),c_2Eoption_2ENONE(X2))),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(X1),ap(ap(X3,ap(c_2Eoption_2ETHE(X2),c_2Eoption_2ENONE(X2))),esk7_0))),c_2Eoption_2ENONE(X1)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X1,X2,esk4_0),X3),c_2Eoption_2ENONE(X2)),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))
| ~ mem(X3,arr(X2,arr(esk4_0,X1)))
| ~ ne(X2)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_95]) ).
cnf(c_0_197,plain,
( ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2ET) = c_2Ebool_2EF
| p(ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2ET)) ),
inference(spm,[status(thm)],[c_0_156,c_0_186]) ).
cnf(c_0_198,negated_conjecture,
( ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)) != c_2Eoption_2ENONE(esk2_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),c_2Eoption_2ENONE(esk4_0)) != c_2Eoption_2ENONE(esk2_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),c_2Eoption_2ENONE(esk4_0)) != c_2Eoption_2ENONE(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_188])]) ).
cnf(c_0_199,plain,
ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),c_2Eoption_2ENONE(esk4_0)) = c_2Eoption_2ENONE(esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]) ).
cnf(c_0_200,plain,
mem(ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0)))),ty_2Eoption_2Eoption(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_86]),c_0_105])]) ).
cnf(c_0_201,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk2_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,esk6_0),ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))))),c_2Eoption_2ENONE(esk2_0)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),c_2Eoption_2ENONE(esk4_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_179]),c_0_194]) ).
cnf(c_0_202,plain,
( mem(ap(X1,ap(ap(esk5_0,ap(c_2Eoption_2ETHE(esk3_0),c_2Eoption_2ENONE(esk3_0))),esk7_0)),X2)
| ~ mem(X1,arr(esk2_0,X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_195]) ).
cnf(c_0_203,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk2_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk3_0),c_2Eoption_2ENONE(esk3_0))),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,ap(c_2Eoption_2ETHE(esk3_0),c_2Eoption_2ENONE(esk3_0))),esk7_0))),c_2Eoption_2ENONE(esk2_0)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_84]),c_0_89]),c_0_105])]) ).
cnf(c_0_204,plain,
ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2ET) = c_2Ebool_2EF,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_197]),c_0_103]),c_0_88])]),c_0_140]) ).
cnf(c_0_205,negated_conjecture,
( ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)) != c_2Eoption_2ENONE(esk2_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),c_2Eoption_2ENONE(esk4_0)) != c_2Eoption_2ENONE(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_199])]) ).
cnf(c_0_206,plain,
ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),ap(c_2Eoption_2ESOME(esk3_0),esk6_0)),c_2Eoption_2ENONE(esk4_0)) = c_2Eoption_2ENONE(esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_200]),c_0_201]) ).
cnf(c_0_207,plain,
mem(ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,ap(c_2Eoption_2ETHE(esk3_0),c_2Eoption_2ENONE(esk3_0))),esk7_0)),ty_2Eoption_2Eoption(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_86]),c_0_105])]) ).
cnf(c_0_208,negated_conjecture,
ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk2_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk2_0),ap(ap(esk5_0,ap(c_2Eoption_2ETHE(esk3_0),c_2Eoption_2ENONE(esk3_0))),esk7_0))),c_2Eoption_2ENONE(esk2_0)) = ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_180]),c_0_204]) ).
cnf(c_0_209,negated_conjecture,
ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk2_0,esk3_0,esk4_0),esk5_0),c_2Eoption_2ENONE(esk3_0)),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)) != c_2Eoption_2ENONE(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_206])]) ).
cnf(c_0_210,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_207]),c_0_208]),c_0_209]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ITP002+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.04/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n021.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 : Fri Jun 3 03:31:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 # ENIGMATIC: Selected SinE mode:
% 0.21/0.49 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.49 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.49 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 156.60/21.27 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 156.60/21.27 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 59; version: 991; iters: 150)
% 156.60/21.27 # Preprocessing time : 0.851 s
% 156.60/21.27 # Presaturation interreduction done
% 156.60/21.27
% 156.60/21.27 # Proof found!
% 156.60/21.27 # SZS status Theorem
% 156.60/21.27 # SZS output start CNFRefutation
% See solution above
% 156.60/21.27 # Training examples: 0 positive, 0 negative
% 156.60/21.27
% 156.60/21.27 # -------------------------------------------------
% 156.60/21.27 # User time : 18.411 s
% 156.60/21.27 # System time : 0.312 s
% 156.60/21.27 # Total time : 18.723 s
% 156.60/21.27 # ...preprocessing : 0.851 s
% 156.60/21.27 # ...main loop : 17.872 s
% 156.60/21.27 # Maximum resident set size: 167072 pages
% 156.60/21.27
%------------------------------------------------------------------------------