TSTP Solution File: ITP011_1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP011_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 08:08:48 EDT 2024
% Result : Theorem 193.43s 24.84s
% Output : CNFRefutation 193.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 38
% Syntax : Number of formulae : 135 ( 24 unt; 29 typ; 0 def)
% Number of atoms : 461 ( 350 equ)
% Maximal formula atoms : 33 ( 4 avg)
% Number of connectives : 569 ( 214 ~; 240 |; 90 &)
% ( 16 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 7 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 32 ( 16 >; 16 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 9 con; 0-5 aty)
% Number of variables : 264 ( 0 sgn 262 !; 2 ?; 264 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
d: $tType ).
tff(decl_sort2,type,
u: $tType ).
tff(decl_sort3,type,
du: $tType ).
tff(decl_sort4,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(decl_22,type,
tyop_2Emin_2Ebool: d ).
tff(decl_23,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(decl_24,type,
tyop_2Eoption_2Eoption: d > d ).
tff(decl_25,type,
s: ( d * u ) > du ).
tff(decl_26,type,
app_2E2: ( du * du ) > u ).
tff(decl_27,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(decl_43,type,
c_2Eoption_2EIS__NONE_2E1: du > u ).
tff(decl_45,type,
c_2Eoption_2EIS__SOME_2E1: du > u ).
tff(decl_46,type,
c_2Eoption_2ENONE_2E0: u ).
tff(decl_48,type,
c_2Eoption_2EOPTION__JOIN_2E1: du > u ).
tff(decl_50,type,
c_2Eoption_2EOPTION__MAP_2E2: ( du * du ) > u ).
tff(decl_52,type,
c_2Eoption_2EOPTREL_2E3: ( du * du * du ) > u ).
tff(decl_53,type,
c_2Eoption_2ESOME_2E0: u ).
tff(decl_54,type,
c_2Eoption_2ESOME_2E1: du > u ).
tff(decl_57,type,
c_2Eoption_2ETHE_2E1: du > u ).
tff(decl_61,type,
c_2Eoption_2Eoption__CASE_2E3: ( du * du * du ) > u ).
tff(decl_70,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_71,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_79,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(decl_82,type,
esk1_0: d ).
tff(decl_83,type,
esk2_0: u ).
tff(decl_84,type,
esk3_0: u ).
tff(decl_85,type,
esk4_0: u ).
tff(decl_87,type,
esk6_5: ( d * d * u * u * u ) > u ).
tff(decl_88,type,
esk7_5: ( d * d * u * u * u ) > u ).
tff(thm_2Equotient__option_2EOPTION__REL__def,conjecture,
! [X1: d,X66: u,X14: u,X67: u] :
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X67),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2Ebool_2ET_2E0 )
& ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X67),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X14))),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2Ebool_2EF_2E0 )
& ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X67),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X66)))))) = mono_2Ec_2Ebool_2EF_2E0 )
& ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X67),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X14))),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X66)))))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X67),s(X1,X14))),s(X1,X66)))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wtRpYYcZWz/E---3.1_20518.p',thm_2Equotient__option_2EOPTION__REL__def) ).
tff(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 = X8 )
<=> p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2ET_2E0 )
<=> p(X8) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2EF_2E0 )
<=> ~ p(X8) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wtRpYYcZWz/E---3.1_20518.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(reserved_2Eho_2Eboolext,axiom,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( ( p(X6)
<=> p(X7) )
=> ( X6 = X7 ) ),
file('/export/starexec/sandbox2/tmp/tmp.wtRpYYcZWz/E---3.1_20518.p',reserved_2Eho_2Eboolext) ).
tff(reserved_2Eho_2Ebool__cases__ax,axiom,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( X8 = mono_2Ec_2Ebool_2ET_2E0 )
| ( X8 = mono_2Ec_2Ebool_2EF_2E0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.wtRpYYcZWz/E---3.1_20518.p',reserved_2Eho_2Ebool__cases__ax) ).
tff(thm_2Eoption_2Eoption__CLAUSES,axiom,
! [X1: d,X2: d,X3: u,X37: u,X38: u] :
( ! [X39: u,X40: u] :
( ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X39))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X40))) )
<=> ( s(X1,X39) = s(X1,X40) ) )
& ! [X41: u] : ( s(X1,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X41))))) = s(X1,X41) )
& ! [X42: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X42))) )
& ! [X43: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X43))) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
& ! [X44: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X44)))))) = mono_2Ec_2Ebool_2ET_2E0 )
& ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2Ebool_2EF_2E0 )
& ! [X45: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X1),X45)))))
<=> ( s(tyop_2Eoption_2Eoption(X1),X45) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) ) )
& ! [X46: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X1),X46)))))
<=> ( s(tyop_2Eoption_2Eoption(X1),X46) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) ) )
& ! [X47: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X1),X47)))))
=> ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X1),X47))))) = s(tyop_2Eoption_2Eoption(X1),X47) ) )
& ! [X48: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),X48),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ESOME_2E0))) = s(tyop_2Eoption_2Eoption(X1),X48) )
& ! [X49: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),X49),s(tyop_2Eoption_2Eoption(X1),X49),s(tyop_2Emin_2Efun(X1,tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ESOME_2E0))) = s(tyop_2Eoption_2Eoption(X1),X49) )
& ! [X50: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X1),X50)))))
=> ( s(X2,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),X50),s(X2,X38),s(tyop_2Emin_2Efun(X1,X2),X3))) = s(X2,X38) ) )
& ! [X51: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X1),X51)))))
=> ( s(X2,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),X51),s(X2,X38),s(tyop_2Emin_2Efun(X1,X2),X3))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X1),X51))))) ) )
& ! [X52: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X1),X52)))))
=> ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),X52),s(tyop_2Eoption_2Eoption(X1),X37),s(tyop_2Emin_2Efun(X1,tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ESOME_2E0))) = s(tyop_2Eoption_2Eoption(X1),X52) ) )
& ! [X53: u,X54: u] : ( s(X2,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0),s(X2,X53),s(tyop_2Emin_2Efun(X1,X2),X54))) = s(X2,X53) )
& ! [X55: u,X56: u,X57: u] : ( s(X2,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X55))),s(X2,X56),s(tyop_2Emin_2Efun(X1,X2),X57))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X57),s(X1,X55))) )
& ! [X58: u,X59: u] : ( s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X58),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X59))))) = s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E1(s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X58),s(X1,X59))))) )
& ! [X60: u] : ( s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X60),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0))) = s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0) )
& ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ENONE_2E0))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
& ! [X61: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ESOME_2E1(s(tyop_2Eoption_2Eoption(X1),X61))))) = s(tyop_2Eoption_2Eoption(X1),X61) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wtRpYYcZWz/E---3.1_20518.p',thm_2Eoption_2Eoption__CLAUSES) ).
tff(thm_2Eoption_2EOPTREL__def,axiom,
! [X1: d,X2: d,X62: u,X14: u,X63: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X62),s(tyop_2Eoption_2Eoption(X1),X14),s(tyop_2Eoption_2Eoption(X2),X63)))))
<=> ( ( ( s(tyop_2Eoption_2Eoption(X1),X14) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
& ( s(tyop_2Eoption_2Eoption(X2),X63) = s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0) ) )
| ? [X64: u,X65: u] :
( ( s(tyop_2Eoption_2Eoption(X1),X14) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X64))) )
& ( s(tyop_2Eoption_2Eoption(X2),X63) = s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E1(s(X2,X65))) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X62),s(X1,X64))),s(X2,X65))))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wtRpYYcZWz/E---3.1_20518.p',thm_2Eoption_2EOPTREL__def) ).
tff(reserved_2Eho_2Etruth,axiom,
p(mono_2Ec_2Ebool_2ET_2E0),
file('/export/starexec/sandbox2/tmp/tmp.wtRpYYcZWz/E---3.1_20518.p',reserved_2Eho_2Etruth) ).
tff(arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27a,axiom,
! [X1: d,X20: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X20))) = s(tyop_2Eoption_2Eoption(X1),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ESOME_2E0),s(X1,X20))) ),
file('/export/starexec/sandbox2/tmp/tmp.wtRpYYcZWz/E---3.1_20518.p',arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27a) ).
tff(reserved_2Eho_2Enotfalse,axiom,
~ p(mono_2Ec_2Ebool_2EF_2E0),
file('/export/starexec/sandbox2/tmp/tmp.wtRpYYcZWz/E---3.1_20518.p',reserved_2Eho_2Enotfalse) ).
tff(c_0_9,negated_conjecture,
~ ! [X1: d,X66: u,X14: u,X67: u] :
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X67),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2Ebool_2ET_2E0 )
& ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X67),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X14))),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2Ebool_2EF_2E0 )
& ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X67),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X66)))))) = mono_2Ec_2Ebool_2EF_2E0 )
& ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X67),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X14))),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X66)))))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X67),s(X1,X14))),s(X1,X66)))) ) ),
inference(assume_negation,[status(cth)],[thm_2Equotient__option_2EOPTION__REL__def]) ).
tff(c_0_10,plain,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 = X8 )
<=> p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2ET_2E0 )
<=> p(X8) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2EF_2E0 )
<=> ~ p(X8) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
tff(c_0_11,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
tff(c_0_12,plain,
! [X132: mono_2Etyop_2Emin_2Ebool,X133: mono_2Etyop_2Emin_2Ebool] :
( ( ~ p(X132)
| ~ p(X133)
| ( X132 = X133 ) )
& ( p(X132)
| p(X133)
| ( X132 = X133 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reserved_2Eho_2Eboolext])])])]) ).
tff(c_0_13,plain,
! [X97: mono_2Etyop_2Emin_2Ebool] :
( ( X97 = mono_2Ec_2Ebool_2ET_2E0 )
| ( X97 = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(variable_rename,[status(thm)],[reserved_2Eho_2Ebool__cases__ax]) ).
tff(c_0_14,plain,
! [X1: d,X2: d,X3: u,X37: u,X38: u] :
( ! [X39: u,X40: u] :
( ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X39))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X40))) )
<=> ( s(X1,X39) = s(X1,X40) ) )
& ! [X41: u] : ( s(X1,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X41))))) = s(X1,X41) )
& ! [X42: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X42))) )
& ! [X43: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X43))) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
& ! [X44: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X44)))))) = mono_2Ec_2Ebool_2ET_2E0 )
& ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2Ebool_2EF_2E0 )
& ! [X45: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X1),X45)))))
<=> ( s(tyop_2Eoption_2Eoption(X1),X45) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) ) )
& ! [X46: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X1),X46)))))
<=> ( s(tyop_2Eoption_2Eoption(X1),X46) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) ) )
& ! [X47: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X1),X47)))))
=> ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X1),X47))))) = s(tyop_2Eoption_2Eoption(X1),X47) ) )
& ! [X48: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),X48),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ESOME_2E0))) = s(tyop_2Eoption_2Eoption(X1),X48) )
& ! [X49: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),X49),s(tyop_2Eoption_2Eoption(X1),X49),s(tyop_2Emin_2Efun(X1,tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ESOME_2E0))) = s(tyop_2Eoption_2Eoption(X1),X49) )
& ! [X50: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X1),X50)))))
=> ( s(X2,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),X50),s(X2,X38),s(tyop_2Emin_2Efun(X1,X2),X3))) = s(X2,X38) ) )
& ! [X51: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X1),X51)))))
=> ( s(X2,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),X51),s(X2,X38),s(tyop_2Emin_2Efun(X1,X2),X3))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X1),X51))))) ) )
& ! [X52: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X1),X52)))))
=> ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),X52),s(tyop_2Eoption_2Eoption(X1),X37),s(tyop_2Emin_2Efun(X1,tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ESOME_2E0))) = s(tyop_2Eoption_2Eoption(X1),X52) ) )
& ! [X53: u,X54: u] : ( s(X2,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0),s(X2,X53),s(tyop_2Emin_2Efun(X1,X2),X54))) = s(X2,X53) )
& ! [X55: u,X56: u,X57: u] : ( s(X2,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X55))),s(X2,X56),s(tyop_2Emin_2Efun(X1,X2),X57))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X57),s(X1,X55))) )
& ! [X58: u,X59: u] : ( s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X58),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X59))))) = s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E1(s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X58),s(X1,X59))))) )
& ! [X60: u] : ( s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X1,X2),X60),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0))) = s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0) )
& ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ENONE_2E0))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
& ! [X61: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ESOME_2E1(s(tyop_2Eoption_2Eoption(X1),X61))))) = s(tyop_2Eoption_2Eoption(X1),X61) ) ),
inference(fof_simplification,[status(thm)],[thm_2Eoption_2Eoption__CLAUSES]) ).
tff(c_0_15,plain,
! [X101: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 != X101 )
| p(X101) )
& ( ~ p(X101)
| ( mono_2Ec_2Ebool_2ET_2E0 = X101 ) )
& ( ( X101 != mono_2Ec_2Ebool_2ET_2E0 )
| p(X101) )
& ( ~ p(X101)
| ( X101 = mono_2Ec_2Ebool_2ET_2E0 ) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 != X101 )
| ~ p(X101) )
& ( p(X101)
| ( mono_2Ec_2Ebool_2EF_2E0 = X101 ) )
& ( ( X101 != mono_2Ec_2Ebool_2EF_2E0 )
| ~ p(X101) )
& ( p(X101)
| ( X101 = mono_2Ec_2Ebool_2EF_2E0 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
tcf(c_0_16,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
tcf(c_0_17,plain,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( p(X6)
| p(X7)
| ( X6 = X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
tff(c_0_18,plain,
! [X77: d,X78: d,X79: u,X80: u,X81: u,X84: d,X85: d,X86: u,X87: u,X88: u,X89: u,X90: u] :
( ( ( s(tyop_2Eoption_2Eoption(X77),X80) = s(tyop_2Eoption_2Eoption(X77),c_2Eoption_2ESOME_2E1(s(X77,esk6_5(X77,X78,X79,X80,X81)))) )
| ( s(tyop_2Eoption_2Eoption(X77),X80) = s(tyop_2Eoption_2Eoption(X77),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X77,tyop_2Emin_2Efun(X78,tyop_2Emin_2Ebool)),X79),s(tyop_2Eoption_2Eoption(X77),X80),s(tyop_2Eoption_2Eoption(X78),X81))))) )
& ( ( s(tyop_2Eoption_2Eoption(X78),X81) = s(tyop_2Eoption_2Eoption(X78),c_2Eoption_2ESOME_2E1(s(X78,esk7_5(X77,X78,X79,X80,X81)))) )
| ( s(tyop_2Eoption_2Eoption(X77),X80) = s(tyop_2Eoption_2Eoption(X77),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X77,tyop_2Emin_2Efun(X78,tyop_2Emin_2Ebool)),X79),s(tyop_2Eoption_2Eoption(X77),X80),s(tyop_2Eoption_2Eoption(X78),X81))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X78,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X77,tyop_2Emin_2Efun(X78,tyop_2Emin_2Ebool)),X79),s(X77,esk6_5(X77,X78,X79,X80,X81)))),s(X78,esk7_5(X77,X78,X79,X80,X81))))))
| ( s(tyop_2Eoption_2Eoption(X77),X80) = s(tyop_2Eoption_2Eoption(X77),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X77,tyop_2Emin_2Efun(X78,tyop_2Emin_2Ebool)),X79),s(tyop_2Eoption_2Eoption(X77),X80),s(tyop_2Eoption_2Eoption(X78),X81))))) )
& ( ( s(tyop_2Eoption_2Eoption(X77),X80) = s(tyop_2Eoption_2Eoption(X77),c_2Eoption_2ESOME_2E1(s(X77,esk6_5(X77,X78,X79,X80,X81)))) )
| ( s(tyop_2Eoption_2Eoption(X78),X81) = s(tyop_2Eoption_2Eoption(X78),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X77,tyop_2Emin_2Efun(X78,tyop_2Emin_2Ebool)),X79),s(tyop_2Eoption_2Eoption(X77),X80),s(tyop_2Eoption_2Eoption(X78),X81))))) )
& ( ( s(tyop_2Eoption_2Eoption(X78),X81) = s(tyop_2Eoption_2Eoption(X78),c_2Eoption_2ESOME_2E1(s(X78,esk7_5(X77,X78,X79,X80,X81)))) )
| ( s(tyop_2Eoption_2Eoption(X78),X81) = s(tyop_2Eoption_2Eoption(X78),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X77,tyop_2Emin_2Efun(X78,tyop_2Emin_2Ebool)),X79),s(tyop_2Eoption_2Eoption(X77),X80),s(tyop_2Eoption_2Eoption(X78),X81))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X78,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X77,tyop_2Emin_2Efun(X78,tyop_2Emin_2Ebool)),X79),s(X77,esk6_5(X77,X78,X79,X80,X81)))),s(X78,esk7_5(X77,X78,X79,X80,X81))))))
| ( s(tyop_2Eoption_2Eoption(X78),X81) = s(tyop_2Eoption_2Eoption(X78),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X77,tyop_2Emin_2Efun(X78,tyop_2Emin_2Ebool)),X79),s(tyop_2Eoption_2Eoption(X77),X80),s(tyop_2Eoption_2Eoption(X78),X81))))) )
& ( ( s(tyop_2Eoption_2Eoption(X84),X87) != s(tyop_2Eoption_2Eoption(X84),c_2Eoption_2ENONE_2E0) )
| ( s(tyop_2Eoption_2Eoption(X85),X88) != s(tyop_2Eoption_2Eoption(X85),c_2Eoption_2ENONE_2E0) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X84,tyop_2Emin_2Efun(X85,tyop_2Emin_2Ebool)),X86),s(tyop_2Eoption_2Eoption(X84),X87),s(tyop_2Eoption_2Eoption(X85),X88))))) )
& ( ( s(tyop_2Eoption_2Eoption(X84),X87) != s(tyop_2Eoption_2Eoption(X84),c_2Eoption_2ESOME_2E1(s(X84,X89))) )
| ( s(tyop_2Eoption_2Eoption(X85),X88) != s(tyop_2Eoption_2Eoption(X85),c_2Eoption_2ESOME_2E1(s(X85,X90))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X85,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X84,tyop_2Emin_2Efun(X85,tyop_2Emin_2Ebool)),X86),s(X84,X89))),s(X85,X90)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X84,tyop_2Emin_2Efun(X85,tyop_2Emin_2Ebool)),X86),s(tyop_2Eoption_2Eoption(X84),X87),s(tyop_2Eoption_2Eoption(X85),X88))))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eoption_2EOPTREL__def])])])])])])]) ).
tcf(c_0_19,plain,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ( X6 = mono_2Ec_2Ebool_2ET_2E0 )
| ( X6 = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tff(c_0_20,plain,
! [X102: d,X103: d,X104: u,X105: u,X106: u,X107: u,X108: u,X109: u,X110: u,X111: u,X112: u,X113: u,X114: u,X115: u,X116: u,X117: u,X118: u,X119: u,X120: u,X121: u,X122: u,X123: u,X124: u,X125: u,X126: u,X127: u,X128: u,X129: u] :
( ( ( s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,X107))) != s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,X108))) )
| ( s(X102,X107) = s(X102,X108) ) )
& ( ( s(X102,X107) != s(X102,X108) )
| ( s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,X107))) = s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,X108))) ) )
& ( s(X102,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,X109))))) = s(X102,X109) )
& ( s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,X110))) )
& ( s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,X111))) != s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0) )
& ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,X112)))))) = mono_2Ec_2Ebool_2ET_2E0 )
& ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2Ebool_2EF_2E0 )
& ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X102),X113)))))
| ( s(tyop_2Eoption_2Eoption(X102),X113) = s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0) ) )
& ( ( s(tyop_2Eoption_2Eoption(X102),X113) != s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X102),X113))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X102),X114)))))
| ( s(tyop_2Eoption_2Eoption(X102),X114) = s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0) ) )
& ( ( s(tyop_2Eoption_2Eoption(X102),X114) != s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X102),X114))))) )
& ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X102),X115)))))
| ( s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X102),X115))))) = s(tyop_2Eoption_2Eoption(X102),X115) ) )
& ( s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X102),X116),s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0),s(tyop_2Emin_2Efun(X102,tyop_2Eoption_2Eoption(X102)),c_2Eoption_2ESOME_2E0))) = s(tyop_2Eoption_2Eoption(X102),X116) )
& ( s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X102),X117),s(tyop_2Eoption_2Eoption(X102),X117),s(tyop_2Emin_2Efun(X102,tyop_2Eoption_2Eoption(X102)),c_2Eoption_2ESOME_2E0))) = s(tyop_2Eoption_2Eoption(X102),X117) )
& ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X102),X118)))))
| ( s(X103,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X102),X118),s(X103,X106),s(tyop_2Emin_2Efun(X102,X103),X104))) = s(X103,X106) ) )
& ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X102),X119)))))
| ( s(X103,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X102),X119),s(X103,X106),s(tyop_2Emin_2Efun(X102,X103),X104))) = s(X103,app_2E2(s(tyop_2Emin_2Efun(X102,X103),X104),s(X102,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X102),X119))))) ) )
& ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X102),X120)))))
| ( s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X102),X120),s(tyop_2Eoption_2Eoption(X102),X105),s(tyop_2Emin_2Efun(X102,tyop_2Eoption_2Eoption(X102)),c_2Eoption_2ESOME_2E0))) = s(tyop_2Eoption_2Eoption(X102),X120) ) )
& ( s(X103,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0),s(X103,X121),s(tyop_2Emin_2Efun(X102,X103),X122))) = s(X103,X121) )
& ( s(X103,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,X123))),s(X103,X124),s(tyop_2Emin_2Efun(X102,X103),X125))) = s(X103,app_2E2(s(tyop_2Emin_2Efun(X102,X103),X125),s(X102,X123))) )
& ( s(tyop_2Eoption_2Eoption(X103),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X102,X103),X126),s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,X127))))) = s(tyop_2Eoption_2Eoption(X103),c_2Eoption_2ESOME_2E1(s(X103,app_2E2(s(tyop_2Emin_2Efun(X102,X103),X126),s(X102,X127))))) )
& ( s(tyop_2Eoption_2Eoption(X103),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X102,X103),X128),s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0))) = s(tyop_2Eoption_2Eoption(X103),c_2Eoption_2ENONE_2E0) )
& ( s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X102)),c_2Eoption_2ENONE_2E0))) = s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0) )
& ( s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X102)),c_2Eoption_2ESOME_2E1(s(tyop_2Eoption_2Eoption(X102),X129))))) = s(tyop_2Eoption_2Eoption(X102),X129) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
tcf(c_0_21,plain,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ( X6 = mono_2Ec_2Ebool_2ET_2E0 )
| ~ p(X6) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_22,negated_conjecture,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17])]) ).
tcf(c_0_23,plain,
! [X2: d,X1: d,X5: u,X4: u,X3: u] :
( ( s(tyop_2Eoption_2Eoption(X1),X3) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,esk7_5(X2,X1,X4,X5,X3)))) )
| ( s(tyop_2Eoption_2Eoption(X2),X5) = s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Eoption_2Eoption(X2),X5),s(tyop_2Eoption_2Eoption(X1),X3))))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
tcf(c_0_24,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_19]) ).
tcf(c_0_25,plain,
p(mono_2Ec_2Ebool_2ET_2E0),
inference(split_conjunct,[status(thm)],[reserved_2Eho_2Etruth]) ).
tcf(c_0_26,plain,
! [X1: d,X3: u] : s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X3))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
tcf(c_0_27,plain,
! [X1: d,X2: d,X4: u,X3: u,X5: u] :
( ( s(tyop_2Eoption_2Eoption(X1),X3) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,esk6_5(X1,X2,X4,X3,X5)))) )
| ( s(tyop_2Eoption_2Eoption(X2),X5) = s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X4),s(tyop_2Eoption_2Eoption(X1),X3),s(tyop_2Eoption_2Eoption(X2),X5))))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
tcf(c_0_28,plain,
! [X3: u,X2: d,X1: d] : s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X2,X1),X3),s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
tff(c_0_29,plain,
! [X91: d,X92: u] : ( s(tyop_2Eoption_2Eoption(X91),c_2Eoption_2ESOME_2E1(s(X91,X92))) = s(tyop_2Eoption_2Eoption(X91),app_2E2(s(tyop_2Emin_2Efun(X91,tyop_2Eoption_2Eoption(X91)),c_2Eoption_2ESOME_2E0),s(X91,X92))) ),
inference(variable_rename,[status(thm)],[arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27a]) ).
tcf(c_0_30,plain,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( ( X6 = X7 )
| ~ p(X6)
| ~ p(X7) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
tcf(c_0_31,plain,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( p(X6)
| ( X6 = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_32,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
tcf(c_0_33,negated_conjecture,
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),c_0_26]) ).
tcf(c_0_34,plain,
! [X1: d,X2: d,X4: u,X3: u] :
( ( s(tyop_2Eoption_2Eoption(X1),X3) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X1),X3))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26]) ).
tcf(c_0_35,plain,
! [X1: d,X3: u] : s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X3))) = s(tyop_2Eoption_2Eoption(X1),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Eoption_2Eoption(X1)),c_2Eoption_2ESOME_2E0),s(X1,X3))),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
tcf(c_0_36,plain,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( ( X6 = mono_2Ec_2Ebool_2EF_2E0 )
| ( X7 = X6 )
| ~ p(X7) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
tcf(c_0_37,negated_conjecture,
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_32]),c_0_25])]),c_0_26]) ).
tcf(c_0_38,plain,
! [X1: d,X2: d,X5: u,X4: u,X3: u,X10: u,X9: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X10),s(tyop_2Eoption_2Eoption(X1),X3),s(tyop_2Eoption_2Eoption(X2),X5)))))
| ( s(tyop_2Eoption_2Eoption(X1),X3) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X4))) )
| ( s(tyop_2Eoption_2Eoption(X2),X5) != s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E1(s(X2,X9))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X10),s(X1,X4))),s(X2,X9))))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
tcf(c_0_39,negated_conjecture,
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) = mono_2Ec_2Ebool_2ET_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_19]) ).
tcf(c_0_40,plain,
! [X1: d,X2: d,X3: u,X4: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E1(s(X2,X4))))))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_26]) ).
tcf(c_0_41,plain,
! [X1: d,X4: u,X3: u,X2: d] :
( ( s(tyop_2Eoption_2Eoption(X1),X3) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X4),s(tyop_2Eoption_2Eoption(X1),X3),s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_28]),c_0_26]) ).
tcf(c_0_42,negated_conjecture,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) = X6 )
| ( X6 = mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
tcf(c_0_43,negated_conjecture,
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_24]),c_0_25])]),c_0_26]) ).
tcf(c_0_44,negated_conjecture,
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_32]),c_0_25])]),c_0_26]) ).
tcf(c_0_45,plain,
! [X2: d,X1: d,X4: u,X3: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(X2,esk6_5(X2,X1,X3,X4,X5)))),s(X1,esk7_5(X2,X1,X3,X4,X5))))))
| ( s(tyop_2Eoption_2Eoption(X2),X4) = s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X2),X4),s(tyop_2Eoption_2Eoption(X1),X5))))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
tcf(c_0_46,negated_conjecture,
! [X4: u,X3: u] :
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),X3),s(tyop_2Eoption_2Eoption(esk1_0),X4)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X4) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_25])]) ).
tcf(c_0_47,plain,
! [X1: d,X2: d,X3: u,X4: u] : j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E1(s(X2,X4)))))) = mono_2Ec_2Ebool_2EF_2E0,
inference(spm,[status(thm)],[c_0_40,c_0_31]) ).
tcf(c_0_48,plain,
! [X1: d,X4: u,X3: u,X2: d] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X4))),s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0))))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_26]) ).
tcf(c_0_49,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_42]) ).
tff(c_0_50,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(fof_simplification,[status(thm)],[reserved_2Eho_2Enotfalse]) ).
tcf(c_0_51,negated_conjecture,
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) = mono_2Ec_2Ebool_2ET_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_19]) ).
tcf(c_0_52,negated_conjecture,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) = X6 )
| ( X6 = mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_44]) ).
tcf(c_0_53,plain,
! [X1: d,X2: d,X5: u,X9: u,X4: u,X3: u,X10: u] :
( ( s(tyop_2Eoption_2Eoption(X1),X3) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X4),s(tyop_2Eoption_2Eoption(X1),X5),s(tyop_2Eoption_2Eoption(X2),X9)))))
| ( s(tyop_2Eoption_2Eoption(X2),X9) != s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E1(s(X2,esk7_5(X1,X2,X4,X3,X10)))) )
| ( s(tyop_2Eoption_2Eoption(X1),X5) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,esk6_5(X1,X2,X4,X3,X10)))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X4),s(tyop_2Eoption_2Eoption(X1),X3),s(tyop_2Eoption_2Eoption(X2),X10))))) ),
inference(spm,[status(thm)],[c_0_38,c_0_45]) ).
tcf(c_0_54,negated_conjecture,
! [X4: u,X3: u] :
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),X3),s(tyop_2Eoption_2Eoption(esk1_0),X4)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X4) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).
tcf(c_0_55,plain,
! [X1: d,X4: u,X3: u,X2: d] : j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X4))),s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2Ebool_2EF_2E0,
inference(spm,[status(thm)],[c_0_48,c_0_31]) ).
tcf(c_0_56,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_47])]) ).
tff(c_0_57,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(fof_nnf,[status(thm)],[c_0_50]) ).
tcf(c_0_58,negated_conjecture,
! [X4: u,X3: u] :
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),X3),s(tyop_2Eoption_2Eoption(esk1_0),X4)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X4) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_51]),c_0_25])]) ).
tcf(c_0_59,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_52]) ).
tcf(c_0_60,negated_conjecture,
! [X4: u,X3: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),X3),s(tyop_2Eoption_2Eoption(esk1_0),X4)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X4) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_24]),c_0_25])]),c_0_26]) ).
tcf(c_0_61,negated_conjecture,
! [X4: u,X3: u] :
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),X3),s(tyop_2Eoption_2Eoption(esk1_0),X4)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X4) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]) ).
tcf(c_0_62,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_55])]) ).
tcf(c_0_63,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
tcf(c_0_64,plain,
! [X1: d,X5: u,X4: u,X3: u,X2: d] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X5),s(tyop_2Eoption_2Eoption(X1),X3),s(tyop_2Eoption_2Eoption(X2),X4)))))
| ( s(tyop_2Eoption_2Eoption(X1),X3) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
| ( s(tyop_2Eoption_2Eoption(X2),X4) != s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0) ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
tcf(c_0_65,negated_conjecture,
! [X4: u,X3: u] :
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),X3),s(tyop_2Eoption_2Eoption(esk1_0),X4)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X4) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_47])]) ).
tcf(c_0_66,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_47])]) ).
tcf(c_0_67,plain,
! [X1: d,X3: u] :
( ( s(tyop_2Eoption_2Eoption(X1),X3) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X1),X3))))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
tcf(c_0_68,negated_conjecture,
! [X4: u,X3: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),X3),s(tyop_2Eoption_2Eoption(esk1_0),X4)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X4) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_47])]) ).
tcf(c_0_69,negated_conjecture,
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
tcf(c_0_70,plain,
! [X3: u,X5: u,X4: u,X2: d,X1: d] :
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X1),X4),s(tyop_2Eoption_2Eoption(X2),X5)))) = mono_2Ec_2Ebool_2ET_2E0 )
| ( s(tyop_2Eoption_2Eoption(X2),X5) != s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0) )
| ( s(tyop_2Eoption_2Eoption(X1),X4) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_64]) ).
tcf(c_0_71,negated_conjecture,
! [X4: u,X3: u] :
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),X3),s(tyop_2Eoption_2Eoption(esk1_0),X4)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X4) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_55])]) ).
tcf(c_0_72,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_55])]) ).
tcf(c_0_73,plain,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( ( X6 = mono_2Ec_2Ebool_2EF_2E0 )
| ( X7 = mono_2Ec_2Ebool_2EF_2E0 )
| ( X6 = X7 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_31]) ).
tcf(c_0_74,plain,
! [X1: d,X3: u,X6: mono_2Etyop_2Emin_2Ebool] :
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X1),X3)))) = X6 )
| ( s(tyop_2Eoption_2Eoption(X1),X3) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
| p(X6) ),
inference(spm,[status(thm)],[c_0_67,c_0_17]) ).
tcf(c_0_75,plain,
! [X2: d,X1: d,X4: u,X3: u,X5: u] :
( ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,esk7_5(X2,X1,X3,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Eoption_2Eoption(X2)),c_2Eoption_2ESOME_2E0),s(X2,X4)),X5)))) = s(tyop_2Eoption_2Eoption(X1),X5) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E1(s(X2,X4))),s(tyop_2Eoption_2Eoption(X1),X5))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_35]),c_0_26]) ).
tcf(c_0_76,plain,
! [X1: d,X3: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X3))))))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_35]),c_0_26]) ).
tcf(c_0_77,negated_conjecture,
! [X4: u,X3: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),X3),s(tyop_2Eoption_2Eoption(esk1_0),X4)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X4) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_55])]) ).
tcf(c_0_78,negated_conjecture,
s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
tcf(c_0_79,negated_conjecture,
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_63]) ).
tcf(c_0_80,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_73])]) ).
tcf(c_0_81,negated_conjecture,
! [X1: d,X3: u] :
( ( s(tyop_2Eoption_2Eoption(X1),X3) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X1),X3)))) != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_74]) ).
tcf(c_0_82,negated_conjecture,
( ( s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Eoption_2Eoption(esk1_0)),c_2Eoption_2ESOME_2E0),s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_24]),c_0_25])]) ).
tcf(c_0_83,plain,
! [X1: d,X3: u] : j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X3)))))) = mono_2Ec_2Ebool_2EF_2E0,
inference(spm,[status(thm)],[c_0_76,c_0_31]) ).
tcf(c_0_84,negated_conjecture,
! [X3: u,X4: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),X3),s(tyop_2Eoption_2Eoption(esk1_0),X4)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X4) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) ) ),
inference(rw,[status(thm)],[c_0_77,c_0_78]) ).
tcf(c_0_85,negated_conjecture,
s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),
inference(spm,[status(thm)],[c_0_79,c_0_70]) ).
tcf(c_0_86,plain,
! [X1: d,X3: u,X2: d,X10: u,X9: u,X5: u,X4: u] :
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(X2,X4))),s(X1,X5)))) = mono_2Ec_2Ebool_2EF_2E0 )
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X2),X9),s(tyop_2Eoption_2Eoption(X1),X10)))))
| ( s(tyop_2Eoption_2Eoption(X1),X10) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X5))) )
| ( s(tyop_2Eoption_2Eoption(X2),X9) != s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E1(s(X2,X4))) ) ),
inference(spm,[status(thm)],[c_0_38,c_0_31]) ).
tcf(c_0_87,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_47])]) ).
tcf(c_0_88,negated_conjecture,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]),c_0_26]) ).
tcf(c_0_89,negated_conjecture,
! [X3: u,X4: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),X3),s(tyop_2Eoption_2Eoption(esk1_0),X4)))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))) )
| ( s(tyop_2Eoption_2Eoption(esk1_0),X4) != s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))) ) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
tcf(c_0_90,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_55])]) ).
tcf(c_0_91,negated_conjecture,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_47])]) ).
tcf(c_0_92,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) = mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_63]) ).
tcf(c_0_93,plain,
! [X2: d,X1: d,X4: u,X3: u,X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(X2,esk6_5(X2,X1,X3,X4,X5)))),s(X1,esk7_5(X2,X1,X3,X4,X5))))))
| ( s(tyop_2Eoption_2Eoption(X1),X5) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X2),X4),s(tyop_2Eoption_2Eoption(X1),X5))))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
tcf(c_0_94,plain,
! [X1: d,X3: u] : s(X1,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X3))))) = s(X1,X3),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
tcf(c_0_95,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_47])]) ).
tcf(c_0_96,negated_conjecture,
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))))
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_55])]),c_0_92]) ).
tcf(c_0_97,plain,
! [X2: d,X1: d,X4: u,X3: u,X5: u] :
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(X2,esk6_5(X2,X1,X3,X4,X5)))),s(X1,esk7_5(X2,X1,X3,X4,X5))))) = mono_2Ec_2Ebool_2ET_2E0 )
| ( s(tyop_2Eoption_2Eoption(X1),X5) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X2),X4),s(tyop_2Eoption_2Eoption(X1),X5))))) ),
inference(spm,[status(thm)],[c_0_21,c_0_93]) ).
tcf(c_0_98,negated_conjecture,
s(esk1_0,esk6_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))) = s(esk1_0,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_85]),c_0_94]) ).
tcf(c_0_99,negated_conjecture,
s(esk1_0,esk7_5(esk1_0,esk1_0,esk4_0,c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0)),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))) = s(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_78]),c_0_94]) ).
tcf(c_0_100,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) != j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_55])]) ).
tcf(c_0_101,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_96]) ).
tcf(c_0_102,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) = mono_2Ec_2Ebool_2ET_2E0 )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))))))) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_26]) ).
tcf(c_0_103,negated_conjecture,
( ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(esk1_0,esk3_0))),s(esk1_0,esk2_0)))) != mono_2Ec_2Ebool_2ET_2E0 )
| ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
tcf(c_0_104,negated_conjecture,
j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Efun(esk1_0,tyop_2Emin_2Ebool)),esk4_0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) != mono_2Ec_2Ebool_2ET_2E0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_101]),c_0_25])]),c_0_103]) ).
cnf(c_0_105,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_104,c_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : ITP011_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.09/0.31 % Computer : n016.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Fri May 3 13:23:00 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.14/0.42 Running first-order model finding
% 0.14/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.wtRpYYcZWz/E---3.1_20518.p
% 193.43/24.84 # Version: 3.1.0
% 193.43/24.84 # Preprocessing class: FSLSSMSMSSSNFFN.
% 193.43/24.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 193.43/24.84 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 193.43/24.84 # Starting new_bool_3 with 300s (1) cores
% 193.43/24.84 # Starting new_bool_1 with 300s (1) cores
% 193.43/24.84 # Starting sh5l with 300s (1) cores
% 193.43/24.84 # new_bool_3 with pid 20596 completed with status 0
% 193.43/24.84 # Result found by new_bool_3
% 193.43/24.84 # Preprocessing class: FSLSSMSMSSSNFFN.
% 193.43/24.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 193.43/24.84 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 193.43/24.84 # Starting new_bool_3 with 300s (1) cores
% 193.43/24.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 193.43/24.84 # Search class: FGHSM-FFMS32-DFFFFFNN
% 193.43/24.84 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 193.43/24.84 # Starting new_ho_10 with 55s (1) cores
% 193.43/24.84 # new_ho_10 with pid 20599 completed with status 0
% 193.43/24.84 # Result found by new_ho_10
% 193.43/24.84 # Preprocessing class: FSLSSMSMSSSNFFN.
% 193.43/24.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 193.43/24.84 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 193.43/24.84 # Starting new_bool_3 with 300s (1) cores
% 193.43/24.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 193.43/24.84 # Search class: FGHSM-FFMS32-DFFFFFNN
% 193.43/24.84 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 193.43/24.84 # Starting new_ho_10 with 55s (1) cores
% 193.43/24.84 # Preprocessing time : 0.002 s
% 193.43/24.84 # Presaturation interreduction done
% 193.43/24.84
% 193.43/24.84 # Proof found!
% 193.43/24.84 # SZS status Theorem
% 193.43/24.84 # SZS output start CNFRefutation
% See solution above
% 193.43/24.84 # Parsed axioms : 120
% 193.43/24.84 # Removed by relevancy pruning/SinE : 98
% 193.43/24.84 # Initial clauses : 88
% 193.43/24.84 # Removed in clause preprocessing : 21
% 193.43/24.84 # Initial clauses in saturation : 67
% 193.43/24.84 # Processed clauses : 11642
% 193.43/24.84 # ...of these trivial : 145
% 193.43/24.84 # ...subsumed : 10181
% 193.43/24.84 # ...remaining for further processing : 1316
% 193.43/24.84 # Other redundant clauses eliminated : 7453
% 193.43/24.84 # Clauses deleted for lack of memory : 0
% 193.43/24.84 # Backward-subsumed : 179
% 193.43/24.84 # Backward-rewritten : 239
% 193.43/24.84 # Generated clauses : 783017
% 193.43/24.84 # ...of the previous two non-redundant : 729800
% 193.43/24.84 # ...aggressively subsumed : 0
% 193.43/24.84 # Contextual simplify-reflections : 50
% 193.43/24.84 # Paramodulations : 774753
% 193.43/24.84 # Factorizations : 715
% 193.43/24.84 # NegExts : 0
% 193.43/24.84 # Equation resolutions : 7549
% 193.43/24.84 # Disequality decompositions : 0
% 193.43/24.84 # Total rewrite steps : 122288
% 193.43/24.84 # ...of those cached : 117480
% 193.43/24.84 # Propositional unsat checks : 0
% 193.43/24.84 # Propositional check models : 0
% 193.43/24.84 # Propositional check unsatisfiable : 0
% 193.43/24.84 # Propositional clauses : 0
% 193.43/24.84 # Propositional clauses after purity: 0
% 193.43/24.84 # Propositional unsat core size : 0
% 193.43/24.84 # Propositional preprocessing time : 0.000
% 193.43/24.84 # Propositional encoding time : 0.000
% 193.43/24.84 # Propositional solver time : 0.000
% 193.43/24.84 # Success case prop preproc time : 0.000
% 193.43/24.84 # Success case prop encoding time : 0.000
% 193.43/24.84 # Success case prop solver time : 0.000
% 193.43/24.84 # Current number of processed clauses : 854
% 193.43/24.84 # Positive orientable unit clauses : 32
% 193.43/24.84 # Positive unorientable unit clauses: 2
% 193.43/24.84 # Negative unit clauses : 13
% 193.43/24.84 # Non-unit-clauses : 807
% 193.43/24.84 # Current number of unprocessed clauses: 717081
% 193.43/24.84 # ...number of literals in the above : 3576859
% 193.43/24.84 # Current number of archived formulas : 0
% 193.43/24.84 # Current number of archived clauses : 458
% 193.43/24.84 # Clause-clause subsumption calls (NU) : 337099
% 193.43/24.84 # Rec. Clause-clause subsumption calls : 118277
% 193.43/24.84 # Non-unit clause-clause subsumptions : 7529
% 193.43/24.84 # Unit Clause-clause subsumption calls : 4422
% 193.43/24.84 # Rewrite failures with RHS unbound : 0
% 193.43/24.84 # BW rewrite match attempts : 620
% 193.43/24.84 # BW rewrite match successes : 13
% 193.43/24.84 # Condensation attempts : 11642
% 193.43/24.84 # Condensation successes : 452
% 193.43/24.84 # Termbank termtop insertions : 47394354
% 193.43/24.84 # Search garbage collected termcells : 1236
% 193.43/24.84
% 193.43/24.84 # -------------------------------------------------
% 193.43/24.84 # User time : 23.815 s
% 193.43/24.84 # System time : 0.380 s
% 193.43/24.84 # Total time : 24.195 s
% 193.43/24.84 # Maximum resident set size: 2176 pages
% 193.43/24.84
% 193.43/24.84 # -------------------------------------------------
% 193.43/24.84 # User time : 23.819 s
% 193.43/24.84 # System time : 0.382 s
% 193.43/24.84 # Total time : 24.202 s
% 193.43/24.84 # Maximum resident set size: 1884 pages
% 193.43/24.84 % E---3.1 exiting
%------------------------------------------------------------------------------