TSTP Solution File: ITP002+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP002+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : Sat Jul 16 22:45:39 EDT 2022
% Result : Theorem 0.25s 1.44s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 18
% Syntax : Number of formulae : 114 ( 19 unt; 0 def)
% Number of atoms : 528 ( 106 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 800 ( 386 ~; 353 |; 20 &)
% ( 4 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 131 ( 0 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Eoption_2EOPTION__MAP2__THM,conjecture,
! [X10] :
( ne(X10)
=> ! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> ! [X18] :
( mem(X18,arr(X11,arr(X12,X10)))
=> ! [X19] :
( mem(X19,X11)
=> ! [X20] :
( mem(X20,X12)
=> ( ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X10,X11,X12),X18),ap(c_2Eoption_2ESOME(X11),X19)),ap(c_2Eoption_2ESOME(X12),X20)) = ap(c_2Eoption_2ESOME(X10),ap(ap(X18,X19),X20))
& ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X10,X11,X12),X18),ap(c_2Eoption_2ESOME(X11),X19)),c_2Eoption_2ENONE(X12)) = c_2Eoption_2ENONE(X10)
& ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X10,X11,X12),X18),c_2Eoption_2ENONE(X11)),ap(c_2Eoption_2ESOME(X12),X20)) = c_2Eoption_2ENONE(X10)
& ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X10,X11,X12),X18),c_2Eoption_2ENONE(X11)),c_2Eoption_2ENONE(X12)) = c_2Eoption_2ENONE(X10) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_thm_2Eoption_2EOPTION__MAP2__THM) ).
fof(ax_thm_2Eoption_2EOPTION__MAP2__DEF,axiom,
! [X10] :
( ne(X10)
=> ! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> ! [X18] :
( mem(X18,arr(X11,arr(X12,X10)))
=> ! [X19] :
( mem(X19,ty_2Eoption_2Eoption(X11))
=> ! [X20] :
( mem(X20,ty_2Eoption_2Eoption(X12))
=> ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X10,X11,X12),X18),X19),X20) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X10)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(X11),X19)),ap(c_2Eoption_2EIS__SOME(X12),X20))),ap(c_2Eoption_2ESOME(X10),ap(ap(X18,ap(c_2Eoption_2ETHE(X11),X19)),ap(c_2Eoption_2ETHE(X12),X20)))),c_2Eoption_2ENONE(X10)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax_thm_2Eoption_2EOPTION__MAP2__DEF) ).
fof(boolext,axiom,
! [X5] :
( mem(X5,bool)
=> ! [X6] :
( mem(X6,bool)
=> ( ( p(X5)
<=> p(X6) )
=> X5 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax',boolext) ).
fof(ap_tp,axiom,
! [X1,X2,X3] :
( mem(X3,arr(X1,X2))
=> ! [X4] :
( mem(X4,X1)
=> mem(ap(X3,X4),X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).
fof(mem_c_2Eoption_2EIS__SOME,axiom,
! [X10] :
( ne(X10)
=> mem(c_2Eoption_2EIS__SOME(X10),arr(ty_2Eoption_2Eoption(X10),bool)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mem_c_2Eoption_2EIS__SOME) ).
fof(ax_thm_2Eoption_2ETHE__DEF,axiom,
! [X10] :
( ne(X10)
=> ! [X14] :
( mem(X14,X10)
=> ap(c_2Eoption_2ETHE(X10),ap(c_2Eoption_2ESOME(X10),X14)) = X14 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax_thm_2Eoption_2ETHE__DEF) ).
fof(mem_c_2Ebool_2ET,axiom,
mem(c_2Ebool_2ET,bool),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mem_c_2Ebool_2ET) ).
fof(ax_true_p,axiom,
p(c_2Ebool_2ET),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax_true_p) ).
fof(mem_c_2Eoption_2ESOME,axiom,
! [X10] :
( ne(X10)
=> mem(c_2Eoption_2ESOME(X10),arr(X10,ty_2Eoption_2Eoption(X10))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mem_c_2Eoption_2ESOME) ).
fof(ax_false_p,axiom,
~ p(c_2Ebool_2EF),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax_false_p) ).
fof(ax_thm_2Eoption_2EIS__SOME__DEF,axiom,
! [X10] :
( ne(X10)
=> ( ! [X14] :
( mem(X14,X10)
=> ( p(ap(c_2Eoption_2EIS__SOME(X10),ap(c_2Eoption_2ESOME(X10),X14)))
<=> $true ) )
& ( p(ap(c_2Eoption_2EIS__SOME(X10),c_2Eoption_2ENONE(X10)))
<=> ~ $true ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax_thm_2Eoption_2EIS__SOME__DEF) ).
fof(mem_c_2Ebool_2EF,axiom,
mem(c_2Ebool_2EF,bool),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mem_c_2Ebool_2EF) ).
fof(mem_c_2Eoption_2ENONE,axiom,
! [X10] :
( ne(X10)
=> mem(c_2Eoption_2ENONE(X10),ty_2Eoption_2Eoption(X10)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mem_c_2Eoption_2ENONE) ).
fof(mem_c_2Ebool_2E_2F_5C,axiom,
mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mem_c_2Ebool_2E_2F_5C) ).
fof(ax_and_p,axiom,
! [X5] :
( mem(X5,bool)
=> ! [X6] :
( mem(X6,bool)
=> ( p(ap(ap(c_2Ebool_2E_2F_5C,X5),X6))
<=> ( p(X5)
& p(X6) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax_and_p) ).
fof(conj_thm_2Ebool_2ECOND__CLAUSES,axiom,
! [X10] :
( ne(X10)
=> ! [X15] :
( mem(X15,X10)
=> ! [X16] :
( mem(X16,X10)
=> ( ap(ap(ap(c_2Ebool_2ECOND(X10),c_2Ebool_2ET),X15),X16) = X15
& ap(ap(ap(c_2Ebool_2ECOND(X10),c_2Ebool_2EF),X15),X16) = X16 ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_thm_2Ebool_2ECOND__CLAUSES) ).
fof(mem_c_2Eoption_2ETHE,axiom,
! [X10] :
( ne(X10)
=> mem(c_2Eoption_2ETHE(X10),arr(ty_2Eoption_2Eoption(X10),X10)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mem_c_2Eoption_2ETHE) ).
fof(ne_ty_2Eoption_2Eoption,axiom,
! [X9] :
( ne(X9)
=> ne(ty_2Eoption_2Eoption(X9)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ne_ty_2Eoption_2Eoption) ).
fof(c_0_18,negated_conjecture,
~ ! [X10] :
( ne(X10)
=> ! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> ! [X18] :
( mem(X18,arr(X11,arr(X12,X10)))
=> ! [X19] :
( mem(X19,X11)
=> ! [X20] :
( mem(X20,X12)
=> ( ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X10,X11,X12),X18),ap(c_2Eoption_2ESOME(X11),X19)),ap(c_2Eoption_2ESOME(X12),X20)) = ap(c_2Eoption_2ESOME(X10),ap(ap(X18,X19),X20))
& ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X10,X11,X12),X18),ap(c_2Eoption_2ESOME(X11),X19)),c_2Eoption_2ENONE(X12)) = c_2Eoption_2ENONE(X10)
& ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X10,X11,X12),X18),c_2Eoption_2ENONE(X11)),ap(c_2Eoption_2ESOME(X12),X20)) = c_2Eoption_2ENONE(X10)
& ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X10,X11,X12),X18),c_2Eoption_2ENONE(X11)),c_2Eoption_2ENONE(X12)) = c_2Eoption_2ENONE(X10) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Eoption_2EOPTION__MAP2__THM]) ).
fof(c_0_19,negated_conjecture,
( ne(esk3_0)
& ne(esk4_0)
& ne(esk5_0)
& mem(esk6_0,arr(esk4_0,arr(esk5_0,esk3_0)))
& mem(esk7_0,esk4_0)
& mem(esk8_0,esk5_0)
& ( ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)),c_2Eoption_2ENONE(esk5_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),c_2Eoption_2ENONE(esk4_0)),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),c_2Eoption_2ENONE(esk4_0)),c_2Eoption_2ENONE(esk5_0)) != c_2Eoption_2ENONE(esk3_0) ) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).
fof(c_0_20,plain,
! [X21,X22,X23,X24,X25,X26] :
( ~ ne(X21)
| ~ ne(X22)
| ~ ne(X23)
| ~ mem(X24,arr(X22,arr(X23,X21)))
| ~ mem(X25,ty_2Eoption_2Eoption(X22))
| ~ mem(X26,ty_2Eoption_2Eoption(X23))
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X21,X22,X23),X24),X25),X26) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X21)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(X22),X25)),ap(c_2Eoption_2EIS__SOME(X23),X26))),ap(c_2Eoption_2ESOME(X21),ap(ap(X24,ap(c_2Eoption_2ETHE(X22),X25)),ap(c_2Eoption_2ETHE(X23),X26)))),c_2Eoption_2ENONE(X21)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_thm_2Eoption_2EOPTION__MAP2__DEF])])])])]) ).
cnf(c_0_21,negated_conjecture,
( ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),c_2Eoption_2ENONE(esk4_0)),c_2Eoption_2ENONE(esk5_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),c_2Eoption_2ENONE(esk4_0)),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)),c_2Eoption_2ENONE(esk5_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,plain,
( ap(ap(ap(c_2Eoption_2EOPTION__MAP2(X1,X2,X3),X4),X5),X6) = ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(X1)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(X2),X5)),ap(c_2Eoption_2EIS__SOME(X3),X6))),ap(c_2Eoption_2ESOME(X1),ap(ap(X4,ap(c_2Eoption_2ETHE(X2),X5)),ap(c_2Eoption_2ETHE(X3),X6)))),c_2Eoption_2ENONE(X1))
| ~ mem(X6,ty_2Eoption_2Eoption(X3))
| ~ mem(X5,ty_2Eoption_2Eoption(X2))
| ~ mem(X4,arr(X2,arr(X3,X1)))
| ~ ne(X3)
| ~ ne(X2)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_23,negated_conjecture,
mem(esk6_0,arr(esk4_0,arr(esk5_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
ne(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
ne(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
ne(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2ETHE(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0))))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),c_2Eoption_2ENONE(esk4_0)),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0)),c_2Eoption_2ENONE(esk5_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),c_2Eoption_2ENONE(esk4_0)),c_2Eoption_2ENONE(esk5_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_28,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2ETHE(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0))))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),c_2Eoption_2ENONE(esk4_0)),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),c_2Eoption_2ENONE(esk4_0)),c_2Eoption_2ENONE(esk5_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]) ).
fof(c_0_29,plain,
! [X7,X8] :
( ( ~ p(X7)
| ~ p(X8)
| X7 = X8
| ~ mem(X8,bool)
| ~ mem(X7,bool) )
& ( p(X7)
| p(X8)
| X7 = X8
| ~ mem(X8,bool)
| ~ mem(X7,bool) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[boolext])])])])])]) ).
fof(c_0_30,plain,
! [X5,X6,X7,X8] :
( ~ mem(X7,arr(X5,X6))
| ~ mem(X8,X5)
| mem(ap(X7,X8),X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])])]) ).
fof(c_0_31,plain,
! [X11] :
( ~ ne(X11)
| mem(c_2Eoption_2EIS__SOME(X11),arr(ty_2Eoption_2Eoption(X11),bool)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Eoption_2EIS__SOME])]) ).
cnf(c_0_32,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2ETHE(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0))))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Eoption_2EOPTION__MAP2(esk3_0,esk4_0,esk5_0),esk6_0),c_2Eoption_2ENONE(esk4_0)),c_2Eoption_2ENONE(esk5_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]) ).
fof(c_0_33,plain,
! [X15,X16] :
( ~ ne(X15)
| ~ mem(X16,X15)
| ap(c_2Eoption_2ETHE(X15),ap(c_2Eoption_2ESOME(X15),X16)) = X16 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_thm_2Eoption_2ETHE__DEF])])])])]) ).
cnf(c_0_34,plain,
( X1 = X2
| ~ mem(X1,bool)
| ~ mem(X2,bool)
| ~ p(X2)
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
mem(c_2Ebool_2ET,bool),
inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET]) ).
cnf(c_0_36,plain,
p(c_2Ebool_2ET),
inference(split_conjunct,[status(thm)],[ax_true_p]) ).
cnf(c_0_37,plain,
( mem(ap(X1,X2),X3)
| ~ mem(X2,X4)
| ~ mem(X1,arr(X4,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( mem(c_2Eoption_2EIS__SOME(X1),arr(ty_2Eoption_2Eoption(X1),bool))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_39,plain,
! [X11] :
( ~ ne(X11)
| mem(c_2Eoption_2ESOME(X11),arr(X11,ty_2Eoption_2Eoption(X11))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Eoption_2ESOME])]) ).
fof(c_0_40,plain,
~ p(c_2Ebool_2EF),
inference(fof_simplification,[status(thm)],[ax_false_p]) ).
cnf(c_0_41,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2ETHE(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0))))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]) ).
cnf(c_0_42,plain,
( ap(c_2Eoption_2ETHE(X1),ap(c_2Eoption_2ESOME(X1),X2)) = X2
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,negated_conjecture,
mem(esk8_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_44,plain,
( X1 = c_2Ebool_2ET
| ~ p(X1)
| ~ mem(X1,bool) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_45,plain,
( mem(ap(c_2Eoption_2EIS__SOME(X1),X2),bool)
| ~ mem(X2,ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_46,plain,
! [X15,X16] :
( ( ~ mem(X16,X15)
| p(ap(c_2Eoption_2EIS__SOME(X15),ap(c_2Eoption_2ESOME(X15),X16)))
| ~ ne(X15) )
& ( ~ p(ap(c_2Eoption_2EIS__SOME(X15),c_2Eoption_2ENONE(X15)))
| ~ ne(X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax_thm_2Eoption_2EIS__SOME__DEF])])])])])])]) ).
cnf(c_0_47,plain,
( mem(c_2Eoption_2ESOME(X1),arr(X1,ty_2Eoption_2Eoption(X1)))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( X1 = X2
| p(X2)
| p(X1)
| ~ mem(X1,bool)
| ~ mem(X2,bool) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_49,plain,
mem(c_2Ebool_2EF,bool),
inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2EF]) ).
cnf(c_0_50,plain,
~ p(c_2Ebool_2EF),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ 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_41,c_0_42]),c_0_43]),c_0_24])]) ).
cnf(c_0_52,negated_conjecture,
mem(esk7_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_53,plain,
( ap(c_2Eoption_2EIS__SOME(X1),X2) = c_2Ebool_2ET
| ~ p(ap(c_2Eoption_2EIS__SOME(X1),X2))
| ~ mem(X2,ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_54,plain,
( p(ap(c_2Eoption_2EIS__SOME(X1),ap(c_2Eoption_2ESOME(X1),X2)))
| ~ ne(X1)
| ~ mem(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,plain,
( mem(ap(c_2Eoption_2ESOME(X1),X2),ty_2Eoption_2Eoption(X1))
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_47]) ).
cnf(c_0_56,plain,
( X1 = c_2Ebool_2EF
| p(X1)
| ~ mem(X1,bool) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
fof(c_0_57,plain,
! [X11] :
( ~ ne(X11)
| mem(c_2Eoption_2ENONE(X11),ty_2Eoption_2Eoption(X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Eoption_2ENONE])]) ).
cnf(c_0_58,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),ap(c_2Eoption_2ESOME(esk5_0),esk8_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ 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_51,c_0_42]),c_0_52]),c_0_25])]) ).
cnf(c_0_59,plain,
( ap(c_2Eoption_2EIS__SOME(X1),ap(c_2Eoption_2ESOME(X1),X2)) = c_2Ebool_2ET
| ~ mem(X2,X1)
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_60,plain,
( ~ ne(X1)
| ~ p(ap(c_2Eoption_2EIS__SOME(X1),c_2Eoption_2ENONE(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_61,plain,
( ap(c_2Eoption_2EIS__SOME(X1),X2) = c_2Ebool_2EF
| p(ap(c_2Eoption_2EIS__SOME(X1),X2))
| ~ mem(X2,ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_45]) ).
cnf(c_0_62,plain,
( mem(c_2Eoption_2ENONE(X1),ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,plain,
mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2E_2F_5C]) ).
cnf(c_0_64,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),ap(c_2Eoption_2EIS__SOME(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ 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_58,c_0_59]),c_0_43]),c_0_24])]) ).
cnf(c_0_65,plain,
( ap(c_2Eoption_2EIS__SOME(X1),c_2Eoption_2ENONE(X1)) = c_2Ebool_2EF
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_66,plain,
( mem(ap(c_2Ebool_2E_2F_5C,X1),arr(bool,bool))
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_37,c_0_63]) ).
cnf(c_0_67,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),c_2Ebool_2EF)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),ap(c_2Eoption_2ESOME(esk4_0),esk7_0))),c_2Ebool_2EF)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_24])]) ).
fof(c_0_68,plain,
! [X7,X8] :
( ( p(X7)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X7),X8))
| ~ mem(X8,bool)
| ~ mem(X7,bool) )
& ( p(X8)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X7),X8))
| ~ mem(X8,bool)
| ~ mem(X7,bool) )
& ( ~ p(X7)
| ~ p(X8)
| p(ap(ap(c_2Ebool_2E_2F_5C,X7),X8))
| ~ mem(X8,bool)
| ~ mem(X7,bool) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_and_p])])])])])]) ).
cnf(c_0_69,plain,
( mem(ap(ap(c_2Ebool_2E_2F_5C,X1),X2),bool)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_37,c_0_66]) ).
cnf(c_0_70,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),c_2Ebool_2EF)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,ap(c_2Eoption_2EIS__SOME(esk4_0),c_2Eoption_2ENONE(esk4_0))),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ 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_67,c_0_59]),c_0_52]),c_0_25])]) ).
cnf(c_0_71,plain,
( p(X2)
| ~ mem(X1,bool)
| ~ mem(X2,bool)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_72,plain,
( ap(ap(c_2Ebool_2E_2F_5C,X1),X2) = c_2Ebool_2EF
| p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2))
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_56,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2EF)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_65]),c_0_25])]) ).
cnf(c_0_74,plain,
( ap(ap(c_2Ebool_2E_2F_5C,X1),X2) = c_2Ebool_2EF
| p(X2)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,plain,
( p(X1)
| ~ mem(X1,bool)
| ~ mem(X2,bool)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_76,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_49])]),c_0_50]) ).
cnf(c_0_77,plain,
( ap(ap(c_2Ebool_2E_2F_5C,X1),X2) = c_2Ebool_2EF
| p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_75,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2EF)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_35]),c_0_49])]),c_0_50]) ).
cnf(c_0_79,plain,
( ap(ap(c_2Ebool_2E_2F_5C,X1),X2) = c_2Ebool_2ET
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2))
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_44,c_0_69]) ).
cnf(c_0_80,plain,
( p(ap(ap(c_2Ebool_2E_2F_5C,X1),X2))
| ~ mem(X1,bool)
| ~ mem(X2,bool)
| ~ p(X2)
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_81,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),c_2Ebool_2ET)),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_74]),c_0_49]),c_0_35])]),c_0_50]) ).
cnf(c_0_82,plain,
( ap(ap(c_2Ebool_2E_2F_5C,X1),X2) = c_2Ebool_2ET
| ~ p(X2)
| ~ p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
fof(c_0_83,plain,
! [X17,X18,X19] :
( ( ap(ap(ap(c_2Ebool_2ECOND(X17),c_2Ebool_2ET),X18),X19) = X18
| ~ mem(X19,X17)
| ~ mem(X18,X17)
| ~ ne(X17) )
& ( ap(ap(ap(c_2Ebool_2ECOND(X17),c_2Ebool_2EF),X18),X19) = X19
| ~ mem(X19,X17)
| ~ mem(X18,X17)
| ~ ne(X17) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ebool_2ECOND__CLAUSES])])])])])]) ).
cnf(c_0_84,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2ET),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ 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_81,c_0_82]),c_0_36]),c_0_35])]) ).
cnf(c_0_85,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2EF),X2),X3) = X3
| ~ ne(X1)
| ~ mem(X2,X1)
| ~ mem(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_86,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2ET),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_87,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2ET),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2EF),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))))),c_2Eoption_2ENONE(esk3_0)) != c_2Eoption_2ENONE(esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0)),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(spm,[status(thm)],[c_0_86,c_0_85]) ).
cnf(c_0_88,negated_conjecture,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Eoption_2Eoption(esk3_0)),c_2Ebool_2ET),ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))),c_2Eoption_2ENONE(esk3_0)) != ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0)),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(spm,[status(thm)],[c_0_87,c_0_85]) ).
cnf(c_0_89,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2ET),X2),X3) = X2
| ~ ne(X1)
| ~ mem(X2,X1)
| ~ mem(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_90,negated_conjecture,
( ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0)),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0)),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_91,negated_conjecture,
( mem(ap(esk6_0,X1),arr(esk5_0,esk3_0))
| ~ mem(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_23]) ).
cnf(c_0_92,negated_conjecture,
( ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0)),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))),esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0)),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_55]),c_0_26])]) ).
cnf(c_0_93,negated_conjecture,
( mem(ap(ap(esk6_0,X1),X2),esk3_0)
| ~ mem(X2,esk5_0)
| ~ mem(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_91]) ).
cnf(c_0_94,negated_conjecture,
( ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0)),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0)),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)),esk5_0)
| ~ mem(ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0)),esk4_0)
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_95,negated_conjecture,
( ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0)),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(ap(esk6_0,ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0))),esk8_0),esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)),esk5_0)
| ~ mem(ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0)),esk4_0)
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_55]),c_0_26])]) ).
cnf(c_0_96,negated_conjecture,
( ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)))),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0)),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)),esk5_0)
| ~ mem(ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0)),esk4_0)
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_93]),c_0_43])]) ).
cnf(c_0_97,negated_conjecture,
( ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0)),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(ap(esk6_0,esk7_0),ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0))),esk3_0)
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)),esk5_0)
| ~ mem(ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0)),esk4_0)
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_55]),c_0_26])]) ).
cnf(c_0_98,negated_conjecture,
( ~ mem(ap(c_2Eoption_2ESOME(esk3_0),ap(ap(esk6_0,esk7_0),esk8_0)),ty_2Eoption_2Eoption(esk3_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)),esk5_0)
| ~ mem(ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0)),esk4_0)
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_93]),c_0_52])]) ).
fof(c_0_99,plain,
! [X11] :
( ~ ne(X11)
| mem(c_2Eoption_2ETHE(X11),arr(ty_2Eoption_2Eoption(X11),X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Eoption_2ETHE])]) ).
cnf(c_0_100,negated_conjecture,
( ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)),esk5_0)
| ~ mem(ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0)),esk4_0)
| ~ mem(ap(ap(esk6_0,esk7_0),esk8_0),esk3_0)
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_55]),c_0_26])]) ).
cnf(c_0_101,plain,
( mem(c_2Eoption_2ETHE(X1),arr(ty_2Eoption_2Eoption(X1),X1))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_102,negated_conjecture,
( ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(ap(c_2Eoption_2ETHE(esk5_0),c_2Eoption_2ENONE(esk5_0)),esk5_0)
| ~ mem(ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0)),esk4_0)
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_93]),c_0_43]),c_0_52])]) ).
cnf(c_0_103,plain,
( mem(ap(c_2Eoption_2ETHE(X1),X2),X1)
| ~ mem(X2,ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_101]) ).
cnf(c_0_104,negated_conjecture,
( ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(ap(c_2Eoption_2ETHE(esk4_0),c_2Eoption_2ENONE(esk4_0)),esk4_0)
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_24])]) ).
cnf(c_0_105,negated_conjecture,
( ~ mem(ap(c_2Eoption_2ESOME(esk5_0),esk8_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_103]),c_0_25])]) ).
cnf(c_0_106,negated_conjecture,
( ~ mem(ap(c_2Eoption_2ESOME(esk4_0),esk7_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_55]),c_0_43]),c_0_24])]) ).
cnf(c_0_107,negated_conjecture,
( ~ mem(c_2Eoption_2ENONE(esk5_0),ty_2Eoption_2Eoption(esk5_0))
| ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_55]),c_0_52]),c_0_25])]) ).
cnf(c_0_108,negated_conjecture,
( ~ mem(c_2Eoption_2ENONE(esk4_0),ty_2Eoption_2Eoption(esk4_0))
| ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_62]),c_0_24])]) ).
cnf(c_0_109,negated_conjecture,
( ~ mem(c_2Eoption_2ENONE(esk3_0),ty_2Eoption_2Eoption(esk3_0))
| ~ ne(ty_2Eoption_2Eoption(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_62]),c_0_25])]) ).
fof(c_0_110,plain,
! [X10] :
( ~ ne(X10)
| ne(ty_2Eoption_2Eoption(X10)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ne_ty_2Eoption_2Eoption])]) ).
cnf(c_0_111,negated_conjecture,
~ ne(ty_2Eoption_2Eoption(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_62]),c_0_26])]) ).
cnf(c_0_112,plain,
( ne(ty_2Eoption_2Eoption(X1))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP002+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.14 % Command : run_ET %s %d
% 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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 3 03:49:28 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.25/1.44 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/1.44 # Preprocessing time : 0.030 s
% 0.25/1.44
% 0.25/1.44 # Proof found!
% 0.25/1.44 # SZS status Theorem
% 0.25/1.44 # SZS output start CNFRefutation
% See solution above
% 0.25/1.44 # Proof object total steps : 114
% 0.25/1.44 # Proof object clause steps : 81
% 0.25/1.44 # Proof object formula steps : 33
% 0.25/1.44 # Proof object conjectures : 46
% 0.25/1.44 # Proof object clause conjectures : 43
% 0.25/1.44 # Proof object formula conjectures : 3
% 0.25/1.44 # Proof object initial clauses used : 29
% 0.25/1.44 # Proof object initial formulas used : 18
% 0.25/1.44 # Proof object generating inferences : 52
% 0.25/1.44 # Proof object simplifying inferences : 88
% 0.25/1.44 # Training examples: 0 positive, 0 negative
% 0.25/1.44 # Parsed axioms : 34
% 0.25/1.44 # Removed by relevancy pruning/SinE : 0
% 0.25/1.44 # Initial clauses : 51
% 0.25/1.44 # Removed in clause preprocessing : 4
% 0.25/1.44 # Initial clauses in saturation : 47
% 0.25/1.44 # Processed clauses : 674
% 0.25/1.44 # ...of these trivial : 0
% 0.25/1.44 # ...subsumed : 185
% 0.25/1.44 # ...remaining for further processing : 489
% 0.25/1.44 # Other redundant clauses eliminated : 9
% 0.25/1.44 # Clauses deleted for lack of memory : 0
% 0.25/1.44 # Backward-subsumed : 34
% 0.25/1.44 # Backward-rewritten : 2
% 0.25/1.44 # Generated clauses : 3494
% 0.25/1.44 # ...of the previous two non-trivial : 3315
% 0.25/1.44 # Contextual simplify-reflections : 139
% 0.25/1.44 # Paramodulations : 3467
% 0.25/1.44 # Factorizations : 3
% 0.25/1.44 # Equation resolutions : 11
% 0.25/1.44 # Current number of processed clauses : 446
% 0.25/1.44 # Positive orientable unit clauses : 15
% 0.25/1.44 # Positive unorientable unit clauses: 0
% 0.25/1.44 # Negative unit clauses : 9
% 0.25/1.44 # Non-unit-clauses : 422
% 0.25/1.44 # Current number of unprocessed clauses: 2631
% 0.25/1.44 # ...number of literals in the above : 23706
% 0.25/1.44 # Current number of archived formulas : 0
% 0.25/1.44 # Current number of archived clauses : 36
% 0.25/1.44 # Clause-clause subsumption calls (NU) : 77573
% 0.25/1.44 # Rec. Clause-clause subsumption calls : 5681
% 0.25/1.44 # Non-unit clause-clause subsumptions : 262
% 0.25/1.44 # Unit Clause-clause subsumption calls : 2326
% 0.25/1.44 # Rewrite failures with RHS unbound : 0
% 0.25/1.44 # BW rewrite match attempts : 1
% 0.25/1.44 # BW rewrite match successes : 1
% 0.25/1.44 # Condensation attempts : 0
% 0.25/1.44 # Condensation successes : 0
% 0.25/1.44 # Termbank termtop insertions : 215943
% 0.25/1.44
% 0.25/1.44 # -------------------------------------------------
% 0.25/1.44 # User time : 0.228 s
% 0.25/1.44 # System time : 0.008 s
% 0.25/1.44 # Total time : 0.236 s
% 0.25/1.44 # Maximum resident set size: 8848 pages
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.25/23.44
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------