%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP011_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:53:36 PM UTC 2026
% Result : Theorem 217.71s 32.31s
% Output : CNFRefutation 217.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 8
% Syntax : Number of formulae : 78 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 353 ( 248 equ)
% Maximal formula atoms : 33 ( 4 avg)
% Number of connectives : 394 ( 119 ~; 160 |; 90 &)
% ( 16 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 6 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 176 ( 0 sgn 174 !; 2 ?; 176 :)
% 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_23,type,
tyop_2Emin_2Ebool: d ).
tff(decl_24,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(decl_25,type,
tyop_2Eoption_2Eoption: d > d ).
tff(decl_26,type,
s: ( u * d ) > du ).
tff(decl_27,type,
app_2E2: ( du * du ) > u ).
tff(decl_28,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(decl_44,type,
c_2Eoption_2EIS__NONE_2E1: du > u ).
tff(decl_46,type,
c_2Eoption_2EIS__SOME_2E1: du > u ).
tff(decl_47,type,
c_2Eoption_2ENONE_2E0: u ).
tff(decl_49,type,
c_2Eoption_2EOPTION__JOIN_2E1: du > u ).
tff(decl_51,type,
c_2Eoption_2EOPTION__MAP_2E2: ( du * du ) > u ).
tff(decl_53,type,
c_2Eoption_2EOPTREL_2E3: ( du * ( du * du ) ) > u ).
tff(decl_54,type,
c_2Eoption_2ESOME_2E0: u ).
tff(decl_55,type,
c_2Eoption_2ESOME_2E1: du > u ).
tff(decl_58,type,
c_2Eoption_2ETHE_2E1: du > u ).
tff(decl_62,type,
c_2Eoption_2Eoption__CASE_2E3: ( du * ( du * du ) ) > u ).
tff(decl_71,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_72,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_80,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(decl_83,type,
esk1_0: d ).
tff(decl_84,type,
esk2_0: u ).
tff(decl_85,type,
esk3_0: u ).
tff(decl_86,type,
esk4_0: u ).
tff(decl_88,type,
esk6_5: ( u * ( u * ( u * ( d * d ) ) ) ) > u ).
tff(decl_89,type,
esk7_5: ( u * ( u * ( u * ( d * d ) ) ) ) > 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_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)))) )
& ( 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_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_2ENONE_2E0)))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Equotient__option_2EOPTION__REL__def) ).
tff(reserved_2Eho_2Ebool__cases__ax,axiom,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( X8 = mono_2Ec_2Ebool_2EF_2E0 )
| ( X8 = mono_2Ec_2Ebool_2ET_2E0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Ebool__cases__ax) ).
tff(reserved_2Eho_2Eboolext,axiom,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( ( p(X6)
<=> p(X7) )
=> ( X6 = X7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Eboolext) ).
tff(reserved_2Eho_2Etruth,axiom,
p(mono_2Ec_2Ebool_2ET_2E0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
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)))))
<=> ( ? [X64: u,X65: u] :
( 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)))))
& ( s(tyop_2Eoption_2Eoption(X2),X63) = s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E1(s(X2,X65))) )
& ( 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_2ENONE_2E0) )
& ( s(tyop_2Eoption_2Eoption(X1),X14) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eoption_2EOPTREL__def) ).
tff(thm_2Eoption_2Eoption__CLAUSES,axiom,
! [X1: d,X2: d,X3: u,X37: u,X38: u] :
( ! [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) )
& ( 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) )
& ! [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) )
& ! [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))))) )
& ! [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))) )
& ! [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) )
& ! [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) ) )
& ! [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))))) ) )
& ! [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) ) )
& ! [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) )
& ! [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) )
& ! [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) ) )
& ! [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) ) )
& ! [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) ) )
& ( 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 )
& ! [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 )
& ! [X43: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X43))) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
& ! [X42: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X42))) )
& ! [X41: u] : ( s(X1,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X41))))) = s(X1,X41) )
& ! [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) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eoption_2Eoption__CLAUSES) ).
tff(reserved_2Eho_2Enotfalse,axiom,
~ p(mono_2Ec_2Ebool_2EF_2E0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Enotfalse) ).
tff(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( ( X8 = mono_2Ec_2Ebool_2EF_2E0 )
<=> ~ p(X8) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2ET_2E0 )
<=> p(X8) )
& ( ( mono_2Ec_2Ebool_2ET_2E0 = X8 )
<=> p(X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(c_0_8,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_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)))) )
& ( 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_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_2ENONE_2E0)))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(assume_negation,[status(cth)],[thm_2Equotient__option_2EOPTION__REL__def]) ).
tff(c_0_9,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_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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
tff(c_0_10,plain,
! [X97: mono_2Etyop_2Emin_2Ebool] :
( ( X97 = mono_2Ec_2Ebool_2EF_2E0 )
| ( X97 = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(variable_rename,[status(thm)],[reserved_2Eho_2Ebool__cases__ax]) ).
tcf(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_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_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(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_12,plain,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ( X6 = mono_2Ec_2Ebool_2EF_2E0 )
| ( X6 = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
tff(c_0_13,plain,
! [X132: mono_2Etyop_2Emin_2Ebool,X133: mono_2Etyop_2Emin_2Ebool] :
( ( ( X132 = X133 )
| p(X133)
| p(X132) )
& ( ( X132 = X133 )
| ~ p(X133)
| ~ p(X132) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reserved_2Eho_2Eboolext])])])]) ).
tcf(c_0_14,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,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_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
tcf(c_0_15,plain,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X7)
| ~ p(X6)
| ( X6 = X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tcf(c_0_16,plain,
p(mono_2Ec_2Ebool_2ET_2E0),
inference(split_conjunct,[status(thm)],[reserved_2Eho_2Etruth]) ).
tff(c_0_17,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] :
( ( 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)))))
| ~ 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)))))
| ( s(tyop_2Eoption_2Eoption(X85),X88) != s(tyop_2Eoption_2Eoption(X85),c_2Eoption_2ESOME_2E1(s(X85,X90))) )
| ( s(tyop_2Eoption_2Eoption(X84),X87) != s(tyop_2Eoption_2Eoption(X84),c_2Eoption_2ESOME_2E1(s(X84,X89))) ) )
& ( 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(X85),X88) != s(tyop_2Eoption_2Eoption(X85),c_2Eoption_2ENONE_2E0) )
| ( s(tyop_2Eoption_2Eoption(X84),X87) != s(tyop_2Eoption_2Eoption(X84),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_2ENONE_2E0) )
| 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)))))) )
& ( ~ 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_2ENONE_2E0) )
| ( s(tyop_2Eoption_2Eoption(X78),X81) = s(tyop_2Eoption_2Eoption(X78),c_2Eoption_2ESOME_2E1(s(X78,esk7_5(X77,X78,X79,X80,X81)))) ) )
& ( ~ 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_2ENONE_2E0) )
| ( s(tyop_2Eoption_2Eoption(X77),X80) = s(tyop_2Eoption_2Eoption(X77),c_2Eoption_2ESOME_2E1(s(X77,esk6_5(X77,X78,X79,X80,X81)))) ) )
& ( ~ 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_2ENONE_2E0) )
| 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)))))) )
& ( ~ 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_2ENONE_2E0) )
| ( s(tyop_2Eoption_2Eoption(X78),X81) = s(tyop_2Eoption_2Eoption(X78),c_2Eoption_2ESOME_2E1(s(X78,esk7_5(X77,X78,X79,X80,X81)))) ) )
& ( ~ 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_2ENONE_2E0) )
| ( s(tyop_2Eoption_2Eoption(X77),X80) = s(tyop_2Eoption_2Eoption(X77),c_2Eoption_2ESOME_2E1(s(X77,esk6_5(X77,X78,X79,X80,X81)))) ) ) ),
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_18,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_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_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,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_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15])]),c_0_16])]) ).
tcf(c_0_19,plain,
! [X1: d,X5: u,X4: u,X3: u,X2: d] :
( ( s(tyop_2Eoption_2Eoption(X2),X4) != s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0) )
| ( 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)),X5),s(tyop_2Eoption_2Eoption(X1),X3),s(tyop_2Eoption_2Eoption(X2),X4))))) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tcf(c_0_20,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_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_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,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_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 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_12]) ).
tcf(c_0_21,plain,
! [X3: u,X4: u,X2: d,X1: d] :
( ( s(tyop_2Eoption_2Eoption(X1),X4) != 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)),X3),s(tyop_2Eoption_2Eoption(X1),X4),s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0))))) ),
inference(er,[status(thm)],[c_0_19]) ).
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_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_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,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_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_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
tcf(c_0_23,plain,
! [X1: d,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_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0))))),
inference(er,[status(thm)],[c_0_21]) ).
tff(c_0_24,plain,
! [X1: d,X2: d,X3: u,X37: u,X38: u] :
( ! [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) )
& ( 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) )
& ! [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) )
& ! [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))))) )
& ! [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))) )
& ! [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) )
& ! [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) ) )
& ! [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))))) ) )
& ! [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) ) )
& ! [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) )
& ! [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) )
& ! [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) ) )
& ! [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) ) )
& ! [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) ) )
& ( 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 )
& ! [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 )
& ! [X43: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X43))) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) )
& ! [X42: u] : ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X42))) )
& ! [X41: u] : ( s(X1,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X41))))) = s(X1,X41) )
& ! [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) ) ) ),
inference(fof_simplification,[status(thm)],[thm_2Eoption_2Eoption__CLAUSES]) ).
tcf(c_0_25,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_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_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_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_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).
tff(c_0_26,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_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) )
& ( 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(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(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(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(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(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) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X102),X120))))) )
& ( ( 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),X119))))) )
& ( ( 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__NONE_2E1(s(tyop_2Eoption_2Eoption(X102),X118))))) )
& ( 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) )
& ( 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_2ESOME_2E1(s(X102,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X102),X115))))) = s(tyop_2Eoption_2Eoption(X102),X115) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X102),X115))))) )
& ( ~ 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__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))))) )
& ( 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 )
& ( 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 )
& ( s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,X111))) != s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0) )
& ( s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X102),c_2Eoption_2ESOME_2E1(s(X102,X110))) )
& ( 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_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))) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
tcf(c_0_27,plain,
! [X1: d,X2: d,X4: u,X3: u,X5: 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)),X4),s(tyop_2Eoption_2Eoption(X1),X3),s(tyop_2Eoption_2Eoption(X2),X5)))))
| ( s(tyop_2Eoption_2Eoption(X2),X5) = s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0) )
| ( s(tyop_2Eoption_2Eoption(X1),X3) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,esk6_5(X1,X2,X4,X3,X5)))) ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tcf(c_0_28,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_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_2ESOME_2E1(s(esk1_0,esk3_0))),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_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_12]) ).
tcf(c_0_29,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_26]) ).
tcf(c_0_30,plain,
! [X2: d,X1: d,X5: u,X4: u,X3: u] :
( ~ 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)))))
| ( s(tyop_2Eoption_2Eoption(X2),X5) = s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ENONE_2E0) )
| ( s(tyop_2Eoption_2Eoption(X1),X3) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,esk7_5(X2,X1,X4,X5,X3)))) ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tcf(c_0_31,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_26]) ).
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_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_2ENONE_2E0),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_2ET_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))) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_16])]),c_0_29]) ).
tcf(c_0_33,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_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_2ENONE_2E0),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_2ET_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))) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_16])]),c_0_29]) ).
tcf(c_0_34,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) )
| ( 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_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_2ET_2E0 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_31]) ).
tcf(c_0_35,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) )
| ( 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_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_2ET_2E0 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_33]),c_0_31]) ).
tff(c_0_36,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(fof_simplification,[status(thm)],[reserved_2Eho_2Enotfalse]) ).
tcf(c_0_37,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) )
| ( 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_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_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_34]),c_0_16])]),c_0_29]),c_0_29]) ).
tcf(c_0_38,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) )
| ( 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_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_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_35]),c_0_16])]),c_0_29]),c_0_29]) ).
tff(c_0_39,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(fof_nnf,[status(thm)],[c_0_36]) ).
tcf(c_0_40,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,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)))))
| ( s(tyop_2Eoption_2Eoption(X2),X5) != s(tyop_2Eoption_2Eoption(X2),c_2Eoption_2ESOME_2E1(s(X2,X9))) )
| ( s(tyop_2Eoption_2Eoption(X1),X3) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X4))) )
| 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))))) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tcf(c_0_41,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) )
| ( 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 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_37]),c_0_16])]),c_0_29]),c_0_29]) ).
tcf(c_0_42,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) )
| ( 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 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_38]),c_0_16])]),c_0_29]),c_0_29]) ).
tcf(c_0_43,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_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,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_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_23])]) ).
tcf(c_0_44,plain,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( ( X6 = X7 )
| p(X7)
| p(X6) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tcf(c_0_45,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
tcf(c_0_46,negated_conjecture,
! [X4: u,X3: u] :
( ( 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))) )
| 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)))))
| ( 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_16])]) ).
tcf(c_0_47,negated_conjecture,
! [X4: u,X3: u] :
( ( 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))) )
| 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)))))
| ( 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_42]),c_0_16])]) ).
tcf(c_0_48,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_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 )
| 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_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 ) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44])]),c_0_45]) ).
tcf(c_0_49,negated_conjecture,
! [X3: u] :
( ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != 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),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))))
| ( 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(er,[status(thm)],[c_0_46]) ).
tcf(c_0_50,negated_conjecture,
! [X3: u] :
( ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != 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),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))))
| ( 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(er,[status(thm)],[c_0_47]) ).
tff(c_0_51,plain,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( ( X8 = mono_2Ec_2Ebool_2EF_2E0 )
<=> ~ p(X8) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2ET_2E0 )
<=> p(X8) )
& ( ( mono_2Ec_2Ebool_2ET_2E0 = X8 )
<=> p(X8) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
tcf(c_0_52,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_2ENONE_2E0)))) != mono_2Ec_2Ebool_2EF_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_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_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_12]) ).
tcf(c_0_53,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)))))))
| ( 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(er,[status(thm)],[c_0_49]) ).
tcf(c_0_54,plain,
! [X1: d,X3: u,X4: u] :
( ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X3))) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X4))) )
| ( s(X1,X3) = s(X1,X4) ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
tcf(c_0_55,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)))))))
| ( 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(er,[status(thm)],[c_0_50]) ).
tff(c_0_56,plain,
! [X101: mono_2Etyop_2Emin_2Ebool] :
( ( ( X101 = mono_2Ec_2Ebool_2EF_2E0 )
| p(X101) )
& ( ~ p(X101)
| ( X101 != mono_2Ec_2Ebool_2EF_2E0 ) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X101 )
| p(X101) )
& ( ~ p(X101)
| ( mono_2Ec_2Ebool_2EF_2E0 != X101 ) )
& ( ( X101 = mono_2Ec_2Ebool_2ET_2E0 )
| ~ p(X101) )
& ( p(X101)
| ( X101 != mono_2Ec_2Ebool_2ET_2E0 ) )
& ( ( mono_2Ec_2Ebool_2ET_2E0 = X101 )
| ~ p(X101) )
& ( p(X101)
| ( mono_2Ec_2Ebool_2ET_2E0 != X101 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
tcf(c_0_57,plain,
! [X2: d,X1: d,X4: u,X3: u,X5: u] :
( ~ 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)))))
| ( 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,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)))))) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
tcf(c_0_58,negated_conjecture,
( 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_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_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_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_12]) ).
tcf(c_0_59,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(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_53]),c_0_29]),c_0_54]) ).
tcf(c_0_60,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(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_55]),c_0_29]),c_0_54]) ).
tcf(c_0_61,plain,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X6)
| ( X6 = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
tcf(c_0_62,negated_conjecture,
( 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_2ESOME_2E1(s(esk1_0,esk3_0))),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_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_60]),c_0_16])]),c_0_29]) ).
tcf(c_0_63,negated_conjecture,
( ~ 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)))))
| ~ 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 )
| ( 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 ) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_15])]) ).
tcf(c_0_64,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_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_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
tcf(c_0_65,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_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_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)))))
| ~ 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_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 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_15])]),c_0_16])]) ).
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_2ENONE_2E0),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_2ET_2E0 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_64]),c_0_16])]),c_0_29]),c_0_29]) ).
tcf(c_0_67,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_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_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)))))
| ~ 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_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_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_65,c_0_12]) ).
tcf(c_0_68,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,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_66]),c_0_16])]),c_0_29]),c_0_29]) ).
tcf(c_0_69,negated_conjecture,
( ~ 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)))))
| ~ 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_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_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_23])]) ).
tcf(c_0_70,negated_conjecture,
! [X4: u,X3: u] :
( ( 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))) )
| 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))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_68]),c_0_16])]) ).
tcf(c_0_71,negated_conjecture,
( ~ 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)))))
| ~ 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_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_2ESOME_2E1(s(esk1_0,esk3_0))),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ENONE_2E0)))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(spm,[status(thm)],[c_0_69,c_0_12]) ).
tcf(c_0_72,negated_conjecture,
! [X3: u] :
( ( s(tyop_2Eoption_2Eoption(esk1_0),X3) != 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),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0))))))) ),
inference(er,[status(thm)],[c_0_70]) ).
tcf(c_0_73,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_2ESOME_2E1(s(esk1_0,esk3_0))),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_2ENONE_2E0),s(tyop_2Eoption_2Eoption(esk1_0),c_2Eoption_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_68]),c_0_16])]) ).
tcf(c_0_74,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))))))),
inference(er,[status(thm)],[c_0_72]) ).
tcf(c_0_75,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_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_2ESOME_2E1(s(esk1_0,esk3_0))),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_73,c_0_74])]) ).
tcf(c_0_76,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_2ESOME_2E1(s(esk1_0,esk2_0)))))) = mono_2Ec_2Ebool_2ET_2E0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_75]),c_0_16])]),c_0_29]),c_0_29]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_76]),c_0_16])]),c_0_29]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP011_1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 21:47:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 217.71/32.31 % Version: 3.5.1
% 217.71/32.31 % Preprocessing class: FSLSSMSMSSSNFFN.
% 217.71/32.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 217.71/32.31 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 217.71/32.31 % Starting new_bool_3 with 300s (1) cores
% 217.71/32.31 % Starting new_bool_1 with 300s (1) cores
% 217.71/32.31 % Starting sh5l with 300s (1) cores
% 217.71/32.31 % new_bool_1 with pid 227721 completed with status 0
% 217.71/32.31 % Result found by new_bool_1
% 217.71/32.31 % Preprocessing class: FSLSSMSMSSSNFFN.
% 217.71/32.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 217.71/32.31 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 217.71/32.31 % Starting new_bool_3 with 300s (1) cores
% 217.71/32.31 % Starting new_bool_1 with 300s (1) cores
% 217.71/32.31 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 217.71/32.31 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 217.71/32.31 % Search class: FGHSM-FFMS32-DFFFFFNN
% 217.71/32.31 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 217.71/32.31 % Starting SubtermCWHack with 28s (1) cores
% 217.71/32.31 % SubtermCWHack with pid 227724 completed with status 8
% 217.71/32.31 % Starting new_bool_1 with 31s (1) cores
% 217.71/32.31 % new_bool_1 with pid 227758 completed with status 0
% 217.71/32.31 % Result found by new_bool_1
% 217.71/32.31 % Preprocessing class: FSLSSMSMSSSNFFN.
% 217.71/32.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 217.71/32.31 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 217.71/32.31 % Starting new_bool_3 with 300s (1) cores
% 217.71/32.31 % Starting new_bool_1 with 300s (1) cores
% 217.71/32.31 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 217.71/32.31 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 217.71/32.31 % Search class: FGHSM-FFMS32-DFFFFFNN
% 217.71/32.31 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 217.71/32.31 % Starting SubtermCWHack with 28s (1) cores
% 217.71/32.31 % SubtermCWHack with pid 227724 completed with status 8
% 217.71/32.31 % Starting new_bool_1 with 31s (1) cores
% 217.71/32.31 % Preprocessing time : 0.004 s
% 217.71/32.31 % Presaturation interreduction done
% 217.71/32.31
% 217.71/32.31 % Proof found!
% 217.71/32.31 % SZS status Theorem
% 217.71/32.31 % SZS output start CNFRefutation
% See solution above
% 217.71/32.31 % Parsed axioms : 120
% 217.71/32.31 % Removed by relevancy pruning/SinE : 98
% 217.71/32.31 % Initial clauses : 88
% 217.71/32.31 % Removed in clause preprocessing : 21
% 217.71/32.31 % Initial clauses in saturation : 67
% 217.71/32.31 % Processed clauses : 3676
% 217.71/32.31 % ...of these trivial : 23
% 217.71/32.31 % ...subsumed : 3317
% 217.71/32.31 % ...remaining for further processing : 336
% 217.71/32.31 % Other redundant clauses eliminated : 17289
% 217.71/32.31 % Clauses deleted for lack of memory : 0
% 217.71/32.31 % Backward-subsumed : 50
% 217.71/32.31 % Backward-rewritten : 115
% 217.71/32.31 % Generated clauses : 61068
% 217.71/32.31 % ...of the previous two non-redundant : 39328
% 217.71/32.31 % ...aggressively subsumed : 0
% 217.71/32.31 % Contextual simplify-reflections : 15
% 217.71/32.31 % Paramodulations : 41812
% 217.71/32.31 % Factorizations : 1943
% 217.71/32.31 % NegExts : 0
% 217.71/32.31 % Equation resolutions : 17313
% 217.71/32.31 % Disequality decompositions : 0
% 217.71/32.31 % Total rewrite steps : 4730
% 217.71/32.31 % ...of those cached : 4278
% 217.71/32.31 % Propositional unsat checks : 0
% 217.71/32.31 % Propositional check models : 0
% 217.71/32.31 % Propositional check unsatisfiable : 0
% 217.71/32.31 % Propositional clauses : 0
% 217.71/32.31 % Propositional clauses after purity: 0
% 217.71/32.31 % Propositional unsat core size : 0
% 217.71/32.31 % Propositional preprocessing time : 0.000
% 217.71/32.31 % Propositional encoding time : 0.000
% 217.71/32.31 % Propositional solver time : 0.000
% 217.71/32.31 % Success case prop preproc time : 0.000
% 217.71/32.31 % Success case prop encoding time : 0.000
% 217.71/32.31 % Success case prop solver time : 0.000
% 217.71/32.31 % Current number of processed clauses : 127
% 217.71/32.31 % Positive orientable unit clauses : 26
% 217.71/32.31 % Positive unorientable unit clauses: 2
% 217.71/32.31 % Negative unit clauses : 4
% 217.71/32.31 % Non-unit-clauses : 95
% 217.71/32.31 % Current number of unprocessed clauses: 35075
% 217.71/32.31 % ...number of literals in the above : 248293
% 217.71/32.31 % Current number of archived formulas : 0
% 217.71/32.31 % Current number of archived clauses : 205
% 217.71/32.31 % Clause-clause subsumption calls (NU) : 43447
% 217.71/32.31 % Rec. Clause-clause subsumption calls : 13897
% 217.71/32.31 % Non-unit clause-clause subsumptions : 2964
% 217.71/32.31 % Unit Clause-clause subsumption calls : 249
% 217.71/32.31 % Rewrite failures with RHS unbound : 0
% 217.71/32.31 % BW rewrite match attempts : 131
% 217.71/32.31 % BW rewrite match successes : 12
% 217.71/32.31 % Condensation attempts : 0
% 217.71/32.31 % Condensation successes : 0
% 217.71/32.31 % Termbank termtop insertions : 2237738
% 217.71/32.31 % Search garbage collected termcells : 1236
% 217.71/32.31
% 217.71/32.31 % -------------------------------------------------
% 217.71/32.31 % User time : 30.721 s
% 217.71/32.31 % System time : 0.562 s
% 217.71/32.31 % Total time : 31.283 s
% 217.71/32.31 % Maximum resident set size: 4072 pages
% 217.71/32.31
% 217.71/32.31 % -------------------------------------------------
% 217.71/32.31 % User time : 30.729 s
% 217.71/32.31 % System time : 0.568 s
% 217.71/32.31 % Total time : 31.297 s
% 217.71/32.31 % Maximum resident set size: 4864 pages
% 217.71/32.31 % E exiting
%------------------------------------------------------------------------------