%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEG019^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 : Wed Sep 30 07:49:22 AM UTC 2026
% Result : Theorem 43.47s 6.64s
% Output : CNFRefutation 43.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 103 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 539 ( 21 equ; 0 cnn)
% Maximal formula atoms : 73 ( 5 avg)
% Number of connectives : 1809 ( 214 ~; 221 |; 105 &;1207 @)
% ( 0 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 32 usr; 13 con; 0-3 aty)
% Number of variables : 252 ( 46 ^; 177 !; 29 ?; 252 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
reg: $tType ).
thf(decl_38,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_50,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_54,type,
c: reg > reg > $o ).
thf(decl_56,type,
p: reg > reg > $o ).
thf(decl_58,type,
o: reg > reg > $o ).
thf(decl_60,type,
ec: reg > reg > $o ).
thf(decl_61,type,
pp: reg > reg > $o ).
thf(decl_62,type,
tpp: reg > reg > $o ).
thf(decl_63,type,
ntpp: reg > reg > $o ).
thf(decl_64,type,
catalunya: reg ).
thf(decl_65,type,
france: reg ).
thf(decl_66,type,
spain: reg ).
thf(decl_67,type,
paris: reg ).
thf(decl_68,type,
a: $i > $i > $o ).
thf(decl_73,type,
esk4_0: reg ).
thf(decl_74,type,
esk5_0: reg ).
thf(decl_75,type,
esk6_1: reg > reg ).
thf(decl_76,type,
esk7_1: reg > reg ).
thf(decl_77,type,
esk8_1: reg > reg ).
thf(decl_78,type,
esk9_1: reg > reg ).
thf(decl_81,type,
esk12_0: reg ).
thf(decl_82,type,
esk13_1: reg > reg ).
thf(decl_83,type,
esk14_1: reg > reg ).
thf(decl_84,type,
esk15_0: $i ).
thf(decl_85,type,
esk16_0: $i ).
thf(decl_86,type,
esk17_0: reg ).
thf(decl_87,type,
esk18_0: reg ).
thf(decl_88,type,
esk19_0: reg ).
thf(decl_89,type,
esk20_1: reg > reg ).
thf(decl_90,type,
esk21_1: reg > reg ).
thf(decl_91,type,
esk22_1: reg > reg ).
thf(decl_92,type,
esk23_1: reg > reg ).
thf(o,axiom,
( o
= ( ^ [X28: reg,X29: reg] :
? [X25: reg] :
( ( p @ X25 @ X28 )
& ( p @ X25 @ X29 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p',o) ).
thf(p,axiom,
( p
= ( ^ [X23: reg,X24: reg] :
! [X25: reg] :
( ( c @ X25 @ X23 )
=> ( c @ X25 @ X24 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p',p) ).
thf(ec,axiom,
( ec
= ( ^ [X32: reg,X33: reg] :
( ( c @ X32 @ X33 )
& ~ ( o @ X32 @ X33 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p',ec) ).
thf(pp,axiom,
( pp
= ( ^ [X34: reg,X35: reg] :
( ( p @ X34 @ X35 )
& ~ ( p @ X35 @ X34 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p',pp) ).
thf(ntpp,axiom,
( ntpp
= ( ^ [X38: reg,X39: reg] :
( ( pp @ X38 @ X39 )
& ~ ? [X25: reg] :
( ( ec @ X25 @ X38 )
& ( ec @ X25 @ X39 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p',ntpp) ).
thf(con,conjecture,
( mvalid
@ ( mbox @ a
@ ^ [X44: $i] :
! [X25: reg] :
( ( ( o @ X25 @ paris )
& ( o @ X25 @ catalunya ) )
=> ( ( o @ X25 @ spain )
& ( o @ X25 @ france ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p',con) ).
thf(mbox,axiom,
( mbox
= ( ^ [X13: $i > $i > $o,X6: $i > $o,X3: $i] :
! [X14: $i] :
( ~ ( X13 @ X3 @ X14 )
| ( X6 @ X14 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p',mbox) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p',mvalid) ).
thf(ax3,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X43: $i] : ( ntpp @ paris @ france ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p',ax3) ).
thf(c_symmetric,axiom,
! [X19: reg,X20: reg] :
( ( c @ X19 @ X20 )
=> ( c @ X20 @ X19 ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p',c_symmetric) ).
thf(tpp,axiom,
( tpp
= ( ^ [X36: reg,X37: reg] :
( ( pp @ X36 @ X37 )
& ? [X25: reg] :
( ( ec @ X25 @ X36 )
& ( ec @ X25 @ X37 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p',tpp) ).
thf(ax1,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X41: $i] : ( tpp @ catalunya @ spain ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p',ax1) ).
thf(c_0_12,plain,
( o
= ( ^ [Z0: reg,Z1: reg] :
? [X25: reg] :
( ! [X53: reg] :
( ( c @ X53 @ X25 )
=> ( c @ X53 @ Z0 ) )
& ! [X54: reg] :
( ( c @ X54 @ X25 )
=> ( c @ X54 @ Z1 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[o]) ).
thf(c_0_13,plain,
( p
= ( ^ [Z0: reg,Z1: reg] :
! [X25: reg] :
( ( c @ X25 @ Z0 )
=> ( c @ X25 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[p]) ).
thf(c_0_14,plain,
( ec
= ( ^ [Z0: reg,Z1: reg] :
( ( c @ Z0 @ Z1 )
& ~ ? [X60: reg] :
( ! [X61: reg] :
( ( c @ X61 @ X60 )
=> ( c @ X61 @ Z0 ) )
& ! [X62: reg] :
( ( c @ X62 @ X60 )
=> ( c @ X62 @ Z1 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[ec]) ).
thf(c_0_15,plain,
( o
= ( ^ [Z0: reg,Z1: reg] :
? [X25: reg] :
( ! [X53: reg] :
( ( c @ X53 @ X25 )
=> ( c @ X53 @ Z0 ) )
& ! [X54: reg] :
( ( c @ X54 @ X25 )
=> ( c @ X54 @ Z1 ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_16,plain,
( pp
= ( ^ [Z0: reg,Z1: reg] :
( ! [X63: reg] :
( ( c @ X63 @ Z0 )
=> ( c @ X63 @ Z1 ) )
& ~ ! [X64: reg] :
( ( c @ X64 @ Z1 )
=> ( c @ X64 @ Z0 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[pp]) ).
thf(c_0_17,plain,
( ntpp
= ( ^ [Z0: reg,Z1: reg] :
( ! [X73: reg] :
( ( c @ X73 @ Z0 )
=> ( c @ X73 @ Z1 ) )
& ~ ! [X74: reg] :
( ( c @ X74 @ Z1 )
=> ( c @ X74 @ Z0 ) )
& ~ ? [X25: reg] :
( ( c @ X25 @ Z0 )
& ~ ? [X75: reg] :
( ! [X76: reg] :
( ( c @ X76 @ X75 )
=> ( c @ X76 @ X25 ) )
& ! [X77: reg] :
( ( c @ X77 @ X75 )
=> ( c @ X77 @ Z0 ) ) )
& ( c @ X25 @ Z1 )
& ~ ? [X78: reg] :
( ! [X79: reg] :
( ( c @ X79 @ X78 )
=> ( c @ X79 @ X25 ) )
& ! [X80: reg] :
( ( c @ X80 @ X78 )
=> ( c @ X80 @ Z1 ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[ntpp]) ).
thf(c_0_18,plain,
( ec
= ( ^ [Z0: reg,Z1: reg] :
( ( c @ Z0 @ Z1 )
& ~ ? [X60: reg] :
( ! [X61: reg] :
( ( c @ X61 @ X60 )
=> ( c @ X61 @ Z0 ) )
& ! [X62: reg] :
( ( c @ X62 @ X60 )
=> ( c @ X62 @ Z1 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_19,plain,
( pp
= ( ^ [Z0: reg,Z1: reg] :
( ! [X63: reg] :
( ( c @ X63 @ Z0 )
=> ( c @ X63 @ Z1 ) )
& ~ ! [X64: reg] :
( ( c @ X64 @ Z1 )
=> ( c @ X64 @ Z0 ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_16,c_0_13]) ).
thf(c_0_20,negated_conjecture,
~ ( mvalid
@ ( mbox @ a
@ ^ [X44: $i] :
! [X25: reg] :
( ( ( o @ X25 @ paris )
& ( o @ X25 @ catalunya ) )
=> ( ( o @ X25 @ spain )
& ( o @ X25 @ france ) ) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_21,plain,
( mbox
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
! [X14: $i] :
( ~ ( Z0 @ Z2 @ X14 )
| ( Z1 @ X14 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox]) ).
thf(c_0_22,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_23,plain,
( ntpp
= ( ^ [Z0: reg,Z1: reg] :
( ! [X73: reg] :
( ( c @ X73 @ Z0 )
=> ( c @ X73 @ Z1 ) )
& ~ ! [X74: reg] :
( ( c @ X74 @ Z1 )
=> ( c @ X74 @ Z0 ) )
& ~ ? [X25: reg] :
( ( c @ X25 @ Z0 )
& ~ ? [X75: reg] :
( ! [X76: reg] :
( ( c @ X76 @ X75 )
=> ( c @ X76 @ X25 ) )
& ! [X77: reg] :
( ( c @ X77 @ X75 )
=> ( c @ X77 @ Z0 ) ) )
& ( c @ X25 @ Z1 )
& ~ ? [X78: reg] :
( ! [X79: reg] :
( ( c @ X79 @ X78 )
=> ( c @ X79 @ X25 ) )
& ! [X80: reg] :
( ( c @ X80 @ X78 )
=> ( c @ X80 @ Z1 ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
thf(c_0_24,negated_conjecture,
~ ! [X133: $i,X132: $i] :
( ~ ( a @ X133 @ X132 )
| ! [X25: reg] :
( ( ? [X120: reg] :
( ! [X121: reg] :
( ( c @ X121 @ X120 )
=> ( c @ X121 @ X25 ) )
& ! [X122: reg] :
( ( c @ X122 @ X120 )
=> ( c @ X122 @ paris ) ) )
& ? [X123: reg] :
( ! [X124: reg] :
( ( c @ X124 @ X123 )
=> ( c @ X124 @ X25 ) )
& ! [X125: reg] :
( ( c @ X125 @ X123 )
=> ( c @ X125 @ catalunya ) ) ) )
=> ( ? [X126: reg] :
( ! [X127: reg] :
( ( c @ X127 @ X126 )
=> ( c @ X127 @ X25 ) )
& ! [X128: reg] :
( ( c @ X128 @ X126 )
=> ( c @ X128 @ spain ) ) )
& ? [X129: reg] :
( ! [X130: reg] :
( ( c @ X130 @ X129 )
=> ( c @ X130 @ X25 ) )
& ! [X131: reg] :
( ( c @ X131 @ X129 )
=> ( c @ X131 @ france ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_20]),c_0_21]),c_0_22]),c_0_15])]) ).
thf(c_0_25,plain,
! [X119: $i,X118: $i] :
( ~ ( a @ X119 @ X118 )
| ( ! [X109: reg] :
( ( c @ X109 @ paris )
=> ( c @ X109 @ france ) )
& ~ ! [X110: reg] :
( ( c @ X110 @ france )
=> ( c @ X110 @ paris ) )
& ~ ? [X111: reg] :
( ( c @ X111 @ paris )
& ~ ? [X112: reg] :
( ! [X113: reg] :
( ( c @ X113 @ X112 )
=> ( c @ X113 @ X111 ) )
& ! [X114: reg] :
( ( c @ X114 @ X112 )
=> ( c @ X114 @ paris ) ) )
& ( c @ X111 @ france )
& ~ ? [X115: reg] :
( ! [X116: reg] :
( ( c @ X116 @ X115 )
=> ( c @ X116 @ X111 ) )
& ! [X117: reg] :
( ( c @ X117 @ X115 )
=> ( c @ X117 @ france ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax3]),c_0_21]),c_0_22]),c_0_23])]) ).
thf(c_0_26,negated_conjecture,
! [X180: reg,X181: reg,X183: reg,X184: reg,X185: reg,X188: reg] :
( ( a @ esk15_0 @ esk16_0 )
& ( ~ ( c @ X180 @ esk18_0 )
| ( c @ X180 @ esk17_0 ) )
& ( ~ ( c @ X181 @ esk18_0 )
| ( c @ X181 @ paris ) )
& ( ~ ( c @ X183 @ esk19_0 )
| ( c @ X183 @ esk17_0 ) )
& ( ~ ( c @ X184 @ esk19_0 )
| ( c @ X184 @ catalunya ) )
& ( ( c @ ( esk23_1 @ X188 ) @ X188 )
| ( c @ ( esk22_1 @ X188 ) @ X188 )
| ( c @ ( esk21_1 @ X185 ) @ X185 )
| ( c @ ( esk20_1 @ X185 ) @ X185 ) )
& ( ~ ( c @ ( esk23_1 @ X188 ) @ france )
| ( c @ ( esk22_1 @ X188 ) @ X188 )
| ( c @ ( esk21_1 @ X185 ) @ X185 )
| ( c @ ( esk20_1 @ X185 ) @ X185 ) )
& ( ( c @ ( esk23_1 @ X188 ) @ X188 )
| ~ ( c @ ( esk22_1 @ X188 ) @ esk17_0 )
| ( c @ ( esk21_1 @ X185 ) @ X185 )
| ( c @ ( esk20_1 @ X185 ) @ X185 ) )
& ( ~ ( c @ ( esk23_1 @ X188 ) @ france )
| ~ ( c @ ( esk22_1 @ X188 ) @ esk17_0 )
| ( c @ ( esk21_1 @ X185 ) @ X185 )
| ( c @ ( esk20_1 @ X185 ) @ X185 ) )
& ( ( c @ ( esk23_1 @ X188 ) @ X188 )
| ( c @ ( esk22_1 @ X188 ) @ X188 )
| ~ ( c @ ( esk21_1 @ X185 ) @ spain )
| ( c @ ( esk20_1 @ X185 ) @ X185 ) )
& ( ~ ( c @ ( esk23_1 @ X188 ) @ france )
| ( c @ ( esk22_1 @ X188 ) @ X188 )
| ~ ( c @ ( esk21_1 @ X185 ) @ spain )
| ( c @ ( esk20_1 @ X185 ) @ X185 ) )
& ( ( c @ ( esk23_1 @ X188 ) @ X188 )
| ~ ( c @ ( esk22_1 @ X188 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X185 ) @ spain )
| ( c @ ( esk20_1 @ X185 ) @ X185 ) )
& ( ~ ( c @ ( esk23_1 @ X188 ) @ france )
| ~ ( c @ ( esk22_1 @ X188 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X185 ) @ spain )
| ( c @ ( esk20_1 @ X185 ) @ X185 ) )
& ( ( c @ ( esk23_1 @ X188 ) @ X188 )
| ( c @ ( esk22_1 @ X188 ) @ X188 )
| ( c @ ( esk21_1 @ X185 ) @ X185 )
| ~ ( c @ ( esk20_1 @ X185 ) @ esk17_0 ) )
& ( ~ ( c @ ( esk23_1 @ X188 ) @ france )
| ( c @ ( esk22_1 @ X188 ) @ X188 )
| ( c @ ( esk21_1 @ X185 ) @ X185 )
| ~ ( c @ ( esk20_1 @ X185 ) @ esk17_0 ) )
& ( ( c @ ( esk23_1 @ X188 ) @ X188 )
| ~ ( c @ ( esk22_1 @ X188 ) @ esk17_0 )
| ( c @ ( esk21_1 @ X185 ) @ X185 )
| ~ ( c @ ( esk20_1 @ X185 ) @ esk17_0 ) )
& ( ~ ( c @ ( esk23_1 @ X188 ) @ france )
| ~ ( c @ ( esk22_1 @ X188 ) @ esk17_0 )
| ( c @ ( esk21_1 @ X185 ) @ X185 )
| ~ ( c @ ( esk20_1 @ X185 ) @ esk17_0 ) )
& ( ( c @ ( esk23_1 @ X188 ) @ X188 )
| ( c @ ( esk22_1 @ X188 ) @ X188 )
| ~ ( c @ ( esk21_1 @ X185 ) @ spain )
| ~ ( c @ ( esk20_1 @ X185 ) @ esk17_0 ) )
& ( ~ ( c @ ( esk23_1 @ X188 ) @ france )
| ( c @ ( esk22_1 @ X188 ) @ X188 )
| ~ ( c @ ( esk21_1 @ X185 ) @ spain )
| ~ ( c @ ( esk20_1 @ X185 ) @ esk17_0 ) )
& ( ( c @ ( esk23_1 @ X188 ) @ X188 )
| ~ ( c @ ( esk22_1 @ X188 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X185 ) @ spain )
| ~ ( c @ ( esk20_1 @ X185 ) @ esk17_0 ) )
& ( ~ ( c @ ( esk23_1 @ X188 ) @ france )
| ~ ( c @ ( esk22_1 @ X188 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X185 ) @ spain )
| ~ ( c @ ( esk20_1 @ X185 ) @ esk17_0 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])]) ).
thf(c_0_27,plain,
! [X135: reg,X136: reg] :
( ~ ( c @ X135 @ X136 )
| ( c @ X136 @ X135 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_symmetric])])]) ).
thf(c_0_28,plain,
! [X165: $i,X166: $i,X167: reg,X169: reg,X171: reg,X172: reg,X174: reg,X175: reg] :
( ( ~ ( c @ X167 @ paris )
| ( c @ X167 @ france )
| ~ ( a @ X165 @ X166 ) )
& ( ( c @ esk12_0 @ france )
| ~ ( a @ X165 @ X166 ) )
& ( ~ ( c @ esk12_0 @ paris )
| ~ ( a @ X165 @ X166 ) )
& ( ~ ( c @ X174 @ ( esk14_1 @ X169 ) )
| ( c @ X174 @ X169 )
| ~ ( c @ X169 @ france )
| ~ ( c @ X171 @ ( esk13_1 @ X169 ) )
| ( c @ X171 @ X169 )
| ~ ( c @ X169 @ paris )
| ~ ( a @ X165 @ X166 ) )
& ( ~ ( c @ X175 @ ( esk14_1 @ X169 ) )
| ( c @ X175 @ france )
| ~ ( c @ X169 @ france )
| ~ ( c @ X171 @ ( esk13_1 @ X169 ) )
| ( c @ X171 @ X169 )
| ~ ( c @ X169 @ paris )
| ~ ( a @ X165 @ X166 ) )
& ( ~ ( c @ X174 @ ( esk14_1 @ X169 ) )
| ( c @ X174 @ X169 )
| ~ ( c @ X169 @ france )
| ~ ( c @ X172 @ ( esk13_1 @ X169 ) )
| ( c @ X172 @ paris )
| ~ ( c @ X169 @ paris )
| ~ ( a @ X165 @ X166 ) )
& ( ~ ( c @ X175 @ ( esk14_1 @ X169 ) )
| ( c @ X175 @ france )
| ~ ( c @ X169 @ france )
| ~ ( c @ X172 @ ( esk13_1 @ X169 ) )
| ( c @ X172 @ paris )
| ~ ( c @ X169 @ paris )
| ~ ( a @ X165 @ X166 ) ) ),
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)],[c_0_25])])])])])])]) ).
thf(c_0_29,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ paris )
| ~ ( c @ X18 @ esk18_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_30,plain,
! [X18: reg,X19: reg] :
( ( c @ X19 @ X18 )
| ~ ( c @ X18 @ X19 ) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_31,plain,
! [X18: reg,X3: $i,X14: $i] :
( ( c @ X18 @ france )
| ~ ( c @ X18 @ paris )
| ~ ( a @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_32,negated_conjecture,
a @ esk15_0 @ esk16_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_33,plain,
( tpp
= ( ^ [Z0: reg,Z1: reg] :
( ! [X65: reg] :
( ( c @ X65 @ Z0 )
=> ( c @ X65 @ Z1 ) )
& ~ ! [X66: reg] :
( ( c @ X66 @ Z1 )
=> ( c @ X66 @ Z0 ) )
& ? [X25: reg] :
( ( c @ X25 @ Z0 )
& ~ ? [X67: reg] :
( ! [X68: reg] :
( ( c @ X68 @ X67 )
=> ( c @ X68 @ X25 ) )
& ! [X69: reg] :
( ( c @ X69 @ X67 )
=> ( c @ X69 @ Z0 ) ) )
& ( c @ X25 @ Z1 )
& ~ ? [X70: reg] :
( ! [X71: reg] :
( ( c @ X71 @ X70 )
=> ( c @ X71 @ X25 ) )
& ! [X72: reg] :
( ( c @ X72 @ X70 )
=> ( c @ X72 @ Z1 ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[tpp]) ).
thf(c_0_34,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ paris )
| ~ ( c @ esk18_0 @ X18 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_35,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ france )
| ~ ( c @ X18 @ paris ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_36,plain,
( tpp
= ( ^ [Z0: reg,Z1: reg] :
( ! [X65: reg] :
( ( c @ X65 @ Z0 )
=> ( c @ X65 @ Z1 ) )
& ~ ! [X66: reg] :
( ( c @ X66 @ Z1 )
=> ( c @ X66 @ Z0 ) )
& ? [X25: reg] :
( ( c @ X25 @ Z0 )
& ~ ? [X67: reg] :
( ! [X68: reg] :
( ( c @ X68 @ X67 )
=> ( c @ X68 @ X25 ) )
& ! [X69: reg] :
( ( c @ X69 @ X67 )
=> ( c @ X69 @ Z0 ) ) )
& ( c @ X25 @ Z1 )
& ~ ? [X70: reg] :
( ! [X71: reg] :
( ( c @ X71 @ X70 )
=> ( c @ X71 @ X25 ) )
& ! [X72: reg] :
( ( c @ X72 @ X70 )
=> ( c @ X72 @ Z1 ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_33,c_0_18]),c_0_19]) ).
thf(c_0_37,negated_conjecture,
! [X18: reg] :
( ( c @ paris @ X18 )
| ~ ( c @ esk18_0 @ X18 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_34]) ).
thf(c_0_38,negated_conjecture,
! [X18: reg,X19: reg] :
( ~ ( c @ ( esk23_1 @ X18 ) @ france )
| ~ ( c @ ( esk22_1 @ X18 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X19 ) @ spain )
| ~ ( c @ ( esk20_1 @ X19 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_39,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ france )
| ~ ( c @ paris @ X18 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_30]) ).
thf(c_0_40,plain,
! [X103: $i,X102: $i] :
( ~ ( a @ X103 @ X102 )
| ( ! [X93: reg] :
( ( c @ X93 @ catalunya )
=> ( c @ X93 @ spain ) )
& ~ ! [X94: reg] :
( ( c @ X94 @ spain )
=> ( c @ X94 @ catalunya ) )
& ? [X95: reg] :
( ( c @ X95 @ catalunya )
& ~ ? [X96: reg] :
( ! [X97: reg] :
( ( c @ X97 @ X96 )
=> ( c @ X97 @ X95 ) )
& ! [X98: reg] :
( ( c @ X98 @ X96 )
=> ( c @ X98 @ catalunya ) ) )
& ( c @ X95 @ spain )
& ~ ? [X99: reg] :
( ! [X100: reg] :
( ( c @ X100 @ X99 )
=> ( c @ X100 @ X95 ) )
& ! [X101: reg] :
( ( c @ X101 @ X99 )
=> ( c @ X101 @ spain ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax1]),c_0_21]),c_0_22]),c_0_36])]) ).
thf(c_0_41,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ france )
| ~ ( c @ esk18_0 @ X18 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
thf(c_0_42,negated_conjecture,
! [X18: reg] :
( ( c @ paris @ X18 )
| ~ ( c @ X18 @ esk18_0 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_30]) ).
thf(c_0_43,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk23_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk22_1 @ X18 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X19 ) @ spain )
| ~ ( c @ ( esk20_1 @ X19 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_44,negated_conjecture,
! [X18: reg,X19: reg] :
( ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X18 ) @ spain )
| ~ ( c @ ( esk22_1 @ X19 ) @ esk17_0 )
| ~ ( c @ paris @ ( esk23_1 @ X19 ) ) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
thf(c_0_45,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ esk17_0 )
| ~ ( c @ X18 @ esk18_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_46,plain,
! [X149: $i,X150: $i,X151: reg,X154: reg,X157: reg] :
( ( ~ ( c @ X151 @ catalunya )
| ( c @ X151 @ spain )
| ~ ( a @ X149 @ X150 ) )
& ( ( c @ esk4_0 @ spain )
| ~ ( a @ X149 @ X150 ) )
& ( ~ ( c @ esk4_0 @ catalunya )
| ~ ( a @ X149 @ X150 ) )
& ( ( c @ esk5_0 @ catalunya )
| ~ ( a @ X149 @ X150 ) )
& ( ( c @ ( esk7_1 @ X154 ) @ X154 )
| ( c @ ( esk6_1 @ X154 ) @ X154 )
| ~ ( a @ X149 @ X150 ) )
& ( ~ ( c @ ( esk7_1 @ X154 ) @ catalunya )
| ( c @ ( esk6_1 @ X154 ) @ X154 )
| ~ ( a @ X149 @ X150 ) )
& ( ( c @ ( esk7_1 @ X154 ) @ X154 )
| ~ ( c @ ( esk6_1 @ X154 ) @ esk5_0 )
| ~ ( a @ X149 @ X150 ) )
& ( ~ ( c @ ( esk7_1 @ X154 ) @ catalunya )
| ~ ( c @ ( esk6_1 @ X154 ) @ esk5_0 )
| ~ ( a @ X149 @ X150 ) )
& ( ( c @ esk5_0 @ spain )
| ~ ( a @ X149 @ X150 ) )
& ( ( c @ ( esk9_1 @ X157 ) @ X157 )
| ( c @ ( esk8_1 @ X157 ) @ X157 )
| ~ ( a @ X149 @ X150 ) )
& ( ~ ( c @ ( esk9_1 @ X157 ) @ spain )
| ( c @ ( esk8_1 @ X157 ) @ X157 )
| ~ ( a @ X149 @ X150 ) )
& ( ( c @ ( esk9_1 @ X157 ) @ X157 )
| ~ ( c @ ( esk8_1 @ X157 ) @ esk5_0 )
| ~ ( a @ X149 @ X150 ) )
& ( ~ ( c @ ( esk9_1 @ X157 ) @ spain )
| ~ ( c @ ( esk8_1 @ X157 ) @ esk5_0 )
| ~ ( a @ X149 @ X150 ) ) ),
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)],[c_0_40])])])])])])]) ).
thf(c_0_47,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ catalunya )
| ~ ( c @ X18 @ esk19_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_48,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ france )
| ~ ( c @ X18 @ esk18_0 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_30]) ).
thf(c_0_49,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk23_1 @ X18 ) @ X18 )
| ( c @ ( esk21_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk22_1 @ X18 ) @ esk17_0 )
| ~ ( c @ ( esk20_1 @ X19 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_50,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk21_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk23_1 @ X18 ) @ france )
| ~ ( c @ ( esk22_1 @ X18 ) @ esk17_0 )
| ~ ( c @ ( esk20_1 @ X19 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_51,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk23_1 @ X18 ) @ X18 )
| ( c @ ( esk22_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk21_1 @ X19 ) @ spain )
| ~ ( c @ ( esk20_1 @ X19 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_52,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk22_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk23_1 @ X18 ) @ france )
| ~ ( c @ ( esk21_1 @ X19 ) @ spain )
| ~ ( c @ ( esk20_1 @ X19 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_53,negated_conjecture,
! [X18: reg] :
( ~ ( c @ ( esk22_1 @ esk18_0 ) @ esk17_0 )
| ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X18 ) @ spain ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
thf(c_0_54,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ esk17_0 )
| ~ ( c @ esk18_0 @ X18 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_30]) ).
thf(c_0_55,plain,
! [X18: reg,X3: $i,X14: $i] :
( ( c @ X18 @ spain )
| ~ ( c @ X18 @ catalunya )
| ~ ( a @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
thf(c_0_56,negated_conjecture,
! [X19: reg,X18: reg] :
( ( c @ ( esk23_1 @ X18 ) @ X18 )
| ( c @ ( esk21_1 @ X19 ) @ X19 )
| ( c @ ( esk20_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk22_1 @ X18 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_57,negated_conjecture,
! [X19: reg,X18: reg] :
( ( c @ ( esk21_1 @ X19 ) @ X19 )
| ( c @ ( esk20_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk23_1 @ X18 ) @ france )
| ~ ( c @ ( esk22_1 @ X18 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_58,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ catalunya )
| ~ ( c @ esk19_0 @ X18 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_30]) ).
thf(c_0_59,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk23_1 @ X18 ) @ X18 )
| ( c @ ( esk22_1 @ X18 ) @ X18 )
| ( c @ ( esk21_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk20_1 @ X19 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_60,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk22_1 @ X18 ) @ X18 )
| ( c @ ( esk21_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk23_1 @ X18 ) @ france )
| ~ ( c @ ( esk20_1 @ X19 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_61,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk21_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk22_1 @ esk18_0 ) @ esk17_0 )
| ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
thf(c_0_62,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk22_1 @ esk18_0 ) @ esk18_0 )
| ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X18 ) @ spain ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_51]),c_0_52]) ).
thf(c_0_63,negated_conjecture,
! [X18: reg] :
( ~ ( c @ esk18_0 @ ( esk22_1 @ esk18_0 ) )
| ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X18 ) @ spain ) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
thf(c_0_64,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ spain )
| ~ ( c @ X18 @ catalunya ) ),
inference(spm,[status(thm)],[c_0_55,c_0_32]) ).
thf(c_0_65,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk23_1 @ X18 ) @ X18 )
| ( c @ ( esk22_1 @ X18 ) @ X18 )
| ( c @ ( esk20_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk21_1 @ X19 ) @ spain ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_66,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk22_1 @ X18 ) @ X18 )
| ( c @ ( esk20_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk23_1 @ X18 ) @ france )
| ~ ( c @ ( esk21_1 @ X19 ) @ spain ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_67,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk23_1 @ X18 ) @ X18 )
| ( c @ ( esk22_1 @ X18 ) @ X18 )
| ( c @ ( esk21_1 @ X19 ) @ X19 )
| ( c @ ( esk20_1 @ X19 ) @ X19 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_68,negated_conjecture,
! [X19: reg,X18: reg] :
( ( c @ ( esk22_1 @ X18 ) @ X18 )
| ( c @ ( esk21_1 @ X19 ) @ X19 )
| ( c @ ( esk20_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk23_1 @ X18 ) @ france ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_69,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ ( esk21_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk22_1 @ esk18_0 ) @ esk17_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_56]),c_0_57]) ).
thf(c_0_70,negated_conjecture,
! [X18: reg] :
( ( c @ catalunya @ X18 )
| ~ ( c @ esk19_0 @ X18 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_58]) ).
thf(c_0_71,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk22_1 @ esk18_0 ) @ esk18_0 )
| ( c @ ( esk21_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_59]),c_0_60]) ).
thf(c_0_72,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk21_1 @ X18 ) @ X18 )
| ~ ( c @ esk18_0 @ ( esk22_1 @ esk18_0 ) )
| ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_54]) ).
thf(c_0_73,negated_conjecture,
! [X18: reg] :
( ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X18 ) @ spain ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_62]),c_0_63]) ).
thf(c_0_74,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ spain )
| ~ ( c @ catalunya @ X18 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_30]) ).
thf(c_0_75,negated_conjecture,
! [X18: reg] :
( ( c @ esk17_0 @ X18 )
| ~ ( c @ esk18_0 @ X18 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_54]) ).
thf(c_0_76,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk22_1 @ esk18_0 ) @ esk18_0 )
| ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk21_1 @ X18 ) @ spain ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_65]),c_0_66]) ).
thf(c_0_77,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk22_1 @ esk18_0 ) @ esk18_0 )
| ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ ( esk21_1 @ X18 ) @ X18 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_67]),c_0_68]) ).
thf(c_0_78,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk21_1 @ X18 ) @ X18 )
| ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ esk18_0 @ ( esk22_1 @ esk18_0 ) ) ),
inference(spm,[status(thm)],[c_0_69,c_0_54]) ).
thf(c_0_79,negated_conjecture,
! [X18: reg] :
( ( c @ catalunya @ X18 )
| ~ ( c @ X18 @ esk19_0 ) ),
inference(spm,[status(thm)],[c_0_70,c_0_30]) ).
thf(c_0_80,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk21_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_71]),c_0_72]) ).
thf(c_0_81,negated_conjecture,
! [X18: reg] :
( ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 )
| ~ ( c @ catalunya @ ( esk21_1 @ X18 ) ) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
thf(c_0_82,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ esk17_0 )
| ~ ( c @ X18 @ esk19_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_83,negated_conjecture,
! [X18: reg] :
( ( c @ esk17_0 @ X18 )
| ~ ( c @ X18 @ esk18_0 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_30]) ).
thf(c_0_84,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk22_1 @ esk18_0 ) @ esk18_0 )
| ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ catalunya @ ( esk21_1 @ X18 ) ) ),
inference(spm,[status(thm)],[c_0_76,c_0_74]) ).
thf(c_0_85,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk21_1 @ X18 ) @ X18 )
| ( c @ ( esk20_1 @ X18 ) @ X18 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_77]),c_0_78]) ).
thf(c_0_86,negated_conjecture,
~ ( c @ ( esk20_1 @ esk19_0 ) @ esk17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
thf(c_0_87,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ esk17_0 )
| ~ ( c @ esk19_0 @ X18 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_30]) ).
thf(c_0_88,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk23_1 @ X18 ) @ X18 )
| ( c @ ( esk20_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk22_1 @ X18 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X19 ) @ spain ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_89,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk20_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk23_1 @ X18 ) @ france )
| ~ ( c @ ( esk22_1 @ X18 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X19 ) @ spain ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_90,negated_conjecture,
! [X18: reg] :
( ( c @ esk17_0 @ ( esk22_1 @ esk18_0 ) )
| ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ catalunya @ ( esk21_1 @ X18 ) ) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
thf(c_0_91,negated_conjecture,
( ( c @ ( esk20_1 @ esk19_0 ) @ esk19_0 )
| ( c @ catalunya @ ( esk21_1 @ esk19_0 ) ) ),
inference(spm,[status(thm)],[c_0_79,c_0_85]) ).
thf(c_0_92,negated_conjecture,
~ ( c @ esk19_0 @ ( esk20_1 @ esk19_0 ) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
thf(c_0_93,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk22_1 @ esk18_0 ) @ esk17_0 )
| ~ ( c @ ( esk21_1 @ X18 ) @ spain ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_88]),c_0_89]) ).
thf(c_0_94,negated_conjecture,
( ( c @ esk17_0 @ ( esk22_1 @ esk18_0 ) )
| ~ ( c @ catalunya @ ( esk21_1 @ esk19_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_90]),c_0_86]) ).
thf(c_0_95,negated_conjecture,
c @ catalunya @ ( esk21_1 @ esk19_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_91]),c_0_92]) ).
thf(c_0_96,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ esk17_0 @ ( esk22_1 @ esk18_0 ) )
| ~ ( c @ ( esk21_1 @ X18 ) @ spain ) ),
inference(spm,[status(thm)],[c_0_93,c_0_30]) ).
thf(c_0_97,negated_conjecture,
c @ esk17_0 @ ( esk22_1 @ esk18_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).
thf(c_0_98,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk21_1 @ X18 ) @ spain ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]) ).
thf(c_0_99,negated_conjecture,
! [X18: reg] :
( ( c @ spain @ X18 )
| ~ ( c @ catalunya @ X18 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_74]) ).
thf(c_0_100,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ spain @ ( esk21_1 @ X18 ) ) ),
inference(spm,[status(thm)],[c_0_98,c_0_30]) ).
thf(c_0_101,negated_conjecture,
c @ spain @ ( esk21_1 @ esk19_0 ),
inference(spm,[status(thm)],[c_0_99,c_0_95]) ).
thf(c_0_102,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_100]),c_0_101])]),c_0_86]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEG019^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n020.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Tue Sep 29 18:35:04 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.24 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.30 Running higher-order theorem proving
% 0.26/0.33 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.7GnnhbHdhC/E---3.1_1432237.p
% 43.47/6.64 % Version: 3.5.1-ho
% 43.47/6.64 % Preprocessing class: HSMSSMSSMLLNHSN.
% 43.47/6.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.47/6.64 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 43.47/6.64 % Starting post_as_ho3 with 300s (1) cores
% 43.47/6.64 % Starting new_ho_12 with 300s (1) cores
% 43.47/6.64 % Starting new_bool_2 with 300s (1) cores
% 43.47/6.64 % new_ho_10_cnf2 with pid 1432250 completed with status 0
% 43.47/6.64 % Result found by new_ho_10_cnf2
% 43.47/6.64 % Preprocessing class: HSMSSMSSMLLNHSN.
% 43.47/6.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.47/6.64 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 43.47/6.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 43.47/6.64 % No SInE strategy applied
% 43.47/6.64 % Search class: HGHNF-FFMF21-SHSSMSBN
% 43.47/6.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 43.47/6.64 % Starting SubtermCWHack with 136s (1) cores
% 43.47/6.64 % Starting new_ho_10_cnf2 with 151s (1) cores
% 43.47/6.64 % Starting post_as_ho11 with 136s (1) cores
% 43.47/6.64 % Starting pre_casc_8 with 136s (1) cores
% 43.47/6.64 % Starting post_as_ho2 with 136s (1) cores
% 43.47/6.64 % post_as_ho11 with pid 1432259 completed with status 0
% 43.47/6.64 % Result found by post_as_ho11
% 43.47/6.64 % Preprocessing class: HSMSSMSSMLLNHSN.
% 43.47/6.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 43.47/6.64 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 43.47/6.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 43.47/6.64 % No SInE strategy applied
% 43.47/6.64 % Search class: HGHNF-FFMF21-SHSSMSBN
% 43.47/6.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 43.47/6.64 % Starting SubtermCWHack with 136s (1) cores
% 43.47/6.64 % Starting new_ho_10_cnf2 with 151s (1) cores
% 43.47/6.64 % Starting post_as_ho11 with 136s (1) cores
% 43.47/6.64 % Preprocessing time : 0.004 s
% 43.47/6.64
% 43.47/6.64 % Proof found!
% 43.47/6.64 % SZS status Theorem
% 43.47/6.64 % SZS output start CNFRefutation
% See solution above
% 43.47/6.64 % Parsed axioms : 98
% 43.47/6.64 % Removed by relevancy pruning/SinE : 0
% 43.47/6.64 % Initial clauses : 103
% 43.47/6.64 % Removed in clause preprocessing : 49
% 43.47/6.64 % Initial clauses in saturation : 54
% 43.47/6.64 % Processed clauses : 2660
% 43.47/6.64 % ...of these trivial : 22
% 43.47/6.64 % ...subsumed : 1133
% 43.47/6.64 % ...remaining for further processing : 1505
% 43.47/6.64 % Other redundant clauses eliminated : 0
% 43.47/6.64 % Clauses deleted for lack of memory : 0
% 43.47/6.64 % Backward-subsumed : 762
% 43.47/6.64 % Backward-rewritten : 198
% 43.47/6.64 % Generated clauses : 51666
% 43.47/6.64 % ...of the previous two non-redundant : 51255
% 43.47/6.64 % ...aggressively subsumed : 0
% 43.47/6.64 % Contextual simplify-reflections : 64
% 43.47/6.64 % Paramodulations : 51509
% 43.47/6.64 % Factorizations : 92
% 43.47/6.64 % NegExts : 0
% 43.47/6.64 % Equation resolutions : 0
% 43.47/6.64 % Disequality decompositions : 0
% 43.47/6.64 % Total rewrite steps : 563
% 43.47/6.64 % ...of those cached : 484
% 43.47/6.64 % Propositional unsat checks : 0
% 43.47/6.64 % Propositional check models : 0
% 43.47/6.64 % Propositional check unsatisfiable : 0
% 43.47/6.64 % Propositional clauses : 0
% 43.47/6.64 % Propositional clauses after purity: 0
% 43.47/6.64 % Propositional unsat core size : 0
% 43.47/6.64 % Propositional preprocessing time : 0.000
% 43.47/6.64 % Propositional encoding time : 0.000
% 43.47/6.64 % Propositional solver time : 0.000
% 43.47/6.64 % Success case prop preproc time : 0.000
% 43.47/6.64 % Success case prop encoding time : 0.000
% 43.47/6.64 % Success case prop solver time : 0.000
% 43.47/6.64 % Current number of processed clauses : 535
% 43.47/6.64 % Positive orientable unit clauses : 75
% 43.47/6.64 % Positive unorientable unit clauses: 0
% 43.47/6.64 % Negative unit clauses : 33
% 43.47/6.64 % Non-unit-clauses : 427
% 43.47/6.64 % Current number of unprocessed clauses: 47972
% 43.47/6.64 % ...number of literals in the above : 343798
% 43.47/6.64 % Current number of archived formulas : 0
% 43.47/6.64 % Current number of archived clauses : 970
% 43.47/6.64 % Clause-clause subsumption calls (NU) : 307866
% 43.47/6.64 % Rec. Clause-clause subsumption calls : 162748
% 43.47/6.64 % Non-unit clause-clause subsumptions : 1793
% 43.47/6.64 % Unit Clause-clause subsumption calls : 7438
% 43.47/6.64 % Rewrite failures with RHS unbound : 0
% 43.47/6.64 % BW rewrite match attempts : 45
% 43.47/6.64 % BW rewrite match successes : 38
% 43.47/6.64 % Condensation attempts : 2660
% 43.47/6.64 % Condensation successes : 35
% 43.47/6.64 % Termbank termtop insertions : 8925242
% 43.47/6.64 % Search garbage collected termcells : 2279
% 43.47/6.64
% 43.47/6.64 % -------------------------------------------------
% 43.47/6.64 % User time : 6.120 s
% 43.47/6.64 % System time : 0.096 s
% 43.47/6.64 % Total time : 6.216 s
% 43.47/6.64 % Maximum resident set size: 4248 pages
% 43.47/6.64
% 43.47/6.64 % -------------------------------------------------
% 43.47/6.64 % User time : 30.373 s
% 43.47/6.64 % System time : 0.436 s
% 43.47/6.64 % Total time : 30.809 s
% 43.47/6.64 % Maximum resident set size: 4608 pages
% 43.47/6.64 % E exiting
%------------------------------------------------------------------------------