TSTP Solution File: GEG020^1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : GEG020^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 06:02:35 EDT 2024
% Result : Theorem 0.85s 0.62s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 69
% Syntax : Number of formulae : 190 ( 35 unt; 45 typ; 0 def)
% Number of atoms : 578 ( 21 equ; 0 cnn)
% Maximal formula atoms : 35 ( 3 avg)
% Number of connectives : 1539 ( 201 ~; 224 |; 91 &; 950 @)
% ( 12 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 46 ( 44 usr; 25 con; 0-3 aty)
% Number of variables : 230 ( 45 ^ 156 !; 29 ?; 230 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
reg: $tType ).
thf(decl_37,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_49,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_53,type,
c: reg > reg > $o ).
thf(decl_55,type,
p: reg > reg > $o ).
thf(decl_57,type,
o: reg > reg > $o ).
thf(decl_59,type,
ec: reg > reg > $o ).
thf(decl_60,type,
pp: reg > reg > $o ).
thf(decl_61,type,
tpp: reg > reg > $o ).
thf(decl_62,type,
ntpp: reg > reg > $o ).
thf(decl_63,type,
catalunya: reg ).
thf(decl_64,type,
france: reg ).
thf(decl_65,type,
spain: reg ).
thf(decl_66,type,
paris: reg ).
thf(decl_67,type,
a: $i > $i > $o ).
thf(decl_72,type,
esk4_0: reg ).
thf(decl_73,type,
esk5_0: reg ).
thf(decl_74,type,
esk6_1: reg > reg ).
thf(decl_75,type,
esk7_1: reg > reg ).
thf(decl_76,type,
esk8_1: reg > reg ).
thf(decl_77,type,
esk9_1: reg > reg ).
thf(decl_80,type,
esk12_0: reg ).
thf(decl_81,type,
esk13_1: reg > reg ).
thf(decl_82,type,
esk14_1: reg > reg ).
thf(decl_83,type,
esk15_0: $i ).
thf(decl_84,type,
esk16_0: $i ).
thf(decl_85,type,
esk17_0: reg ).
thf(decl_86,type,
esk18_0: reg ).
thf(decl_87,type,
esk19_0: reg ).
thf(decl_88,type,
esk20_1: reg > reg ).
thf(decl_89,type,
esk21_1: reg > reg ).
thf(decl_90,type,
esk22_1: reg > reg ).
thf(decl_91,type,
esk23_1: reg > reg ).
thf(decl_98,type,
epred7_0: $o ).
thf(decl_99,type,
epred8_0: $o ).
thf(decl_100,type,
epred9_0: $o ).
thf(decl_101,type,
epred10_0: $o ).
thf(decl_106,type,
epred15_0: $o ).
thf(decl_107,type,
epred16_0: $o ).
thf(decl_114,type,
epred23_0: $o ).
thf(decl_115,type,
epred24_0: $o ).
thf(decl_116,type,
epred25_0: $o ).
thf(decl_117,type,
epred26_0: $o ).
thf(decl_118,type,
epred27_0: $o ).
thf(decl_119,type,
epred28_0: $o ).
thf(o,axiom,
( o
= ( ^ [X28: reg,X29: reg] :
? [X25: reg] :
( ( p @ X25 @ X28 )
& ( p @ X25 @ X29 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p',o) ).
thf(p,axiom,
( p
= ( ^ [X23: reg,X24: reg] :
! [X25: reg] :
( ( c @ X25 @ X23 )
=> ( c @ X25 @ X24 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p',p) ).
thf(ec,axiom,
( ec
= ( ^ [X32: reg,X33: reg] :
( ( c @ X32 @ X33 )
& ~ ( o @ X32 @ X33 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p',ec) ).
thf(pp,axiom,
( pp
= ( ^ [X34: reg,X35: reg] :
( ( p @ X34 @ X35 )
& ~ ( p @ X35 @ X34 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p',pp) ).
thf(tpp,axiom,
( tpp
= ( ^ [X36: reg,X37: reg] :
( ( pp @ X36 @ X37 )
& ? [X25: reg] :
( ( ec @ X25 @ X36 )
& ( ec @ X25 @ X37 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p',tpp) ).
thf(mbox,axiom,
( mbox
= ( ^ [X13: $i > $i > $o,X6: $i > $o,X3: $i] :
! [X14: $i] :
( ~ ( X13 @ X3 @ X14 )
| ( X6 @ X14 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p',mbox) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p',mvalid) ).
thf(ntpp,axiom,
( ntpp
= ( ^ [X38: reg,X39: reg] :
( ( pp @ X38 @ X39 )
& ~ ? [X25: reg] :
( ( ec @ X25 @ X38 )
& ( ec @ X25 @ X39 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p',ntpp) ).
thf(ax1,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X41: $i] : ( tpp @ catalunya @ spain ) ) ),
file('/export/starexec/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p',ax1) ).
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/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p',con) ).
thf(ax3,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X43: $i] : ( ntpp @ paris @ france ) ) ),
file('/export/starexec/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p',ax3) ).
thf(c_symmetric,axiom,
! [X19: reg,X20: reg] :
( ( c @ X19 @ X20 )
=> ( c @ X20 @ X19 ) ),
file('/export/starexec/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p',c_symmetric) ).
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,
( 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_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,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_21,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_22,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_17,c_0_18]),c_0_19]) ).
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(fof_simplification,[status(thm)],[ntpp]) ).
thf(c_0_24,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_20]),c_0_21]),c_0_22])]) ).
thf(c_0_25,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)],[inference(assume_negation,[status(cth)],[con])]),c_0_20]),c_0_21]),c_0_15])]) ).
thf(c_0_26,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_23,c_0_18]),c_0_19]) ).
thf(c_0_27,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_24])])])])])])]) ).
thf(c_0_28,plain,
( ~ epred10_0
<=> ! [X3: $i,X14: $i] :
~ ( a @ X3 @ X14 ) ),
introduced(definition) ).
thf(c_0_29,negated_conjecture,
! [X180: reg,X181: reg,X183: reg,X184: reg,X185: reg,X188: reg] :
( ( a @ esk15_0 @ esk16_0 )
& ( ~ ( c @ X183 @ esk19_0 )
| ( c @ X183 @ esk17_0 )
| ~ ( c @ X180 @ esk18_0 )
| ( c @ X180 @ esk17_0 ) )
& ( ~ ( c @ X184 @ esk19_0 )
| ( c @ X184 @ catalunya )
| ~ ( c @ X180 @ esk18_0 )
| ( c @ X180 @ esk17_0 ) )
& ( ~ ( c @ X183 @ esk19_0 )
| ( c @ X183 @ esk17_0 )
| ~ ( c @ X181 @ esk18_0 )
| ( c @ X181 @ paris ) )
& ( ~ ( c @ X184 @ esk19_0 )
| ( c @ X184 @ catalunya )
| ~ ( c @ X181 @ esk18_0 )
| ( c @ X181 @ paris ) )
& ( ( c @ ( esk21_1 @ X185 ) @ X185 )
| ( c @ ( esk20_1 @ X185 ) @ X185 ) )
& ( ~ ( c @ ( esk21_1 @ X185 ) @ spain )
| ( c @ ( esk20_1 @ X185 ) @ X185 ) )
& ( ( c @ ( esk21_1 @ X185 ) @ X185 )
| ~ ( c @ ( esk20_1 @ X185 ) @ esk17_0 ) )
& ( ~ ( c @ ( esk21_1 @ X185 ) @ spain )
| ~ ( c @ ( esk20_1 @ X185 ) @ esk17_0 ) )
& ( ( c @ ( esk23_1 @ X188 ) @ X188 )
| ( c @ ( esk22_1 @ X188 ) @ X188 ) )
& ( ~ ( c @ ( esk23_1 @ X188 ) @ france )
| ( c @ ( esk22_1 @ X188 ) @ X188 ) )
& ( ( c @ ( esk23_1 @ X188 ) @ X188 )
| ~ ( c @ ( esk22_1 @ X188 ) @ esk17_0 ) )
& ( ~ ( c @ ( esk23_1 @ X188 ) @ france )
| ~ ( c @ ( esk22_1 @ X188 ) @ 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_25])])])])])]) ).
thf(c_0_30,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_20]),c_0_21]),c_0_26])]) ).
thf(c_0_31,plain,
( ~ epred9_0
<=> ! [X18: reg] :
( ( c @ X18 @ spain )
| ~ ( c @ X18 @ catalunya ) ) ),
introduced(definition) ).
thf(c_0_32,plain,
! [X18: reg,X3: $i,X14: $i] :
( ( c @ X18 @ spain )
| ~ ( c @ X18 @ catalunya )
| ~ ( a @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_33,plain,
! [X3: $i,X14: $i] :
( epred10_0
| ~ ( a @ X3 @ X14 ) ),
inference(split_equiv,[status(thm)],[c_0_28]) ).
thf(c_0_34,negated_conjecture,
a @ esk15_0 @ esk16_0,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_35,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_30])])])])])])]) ).
thf(c_0_36,plain,
( ~ epred8_0
<=> ! [X3: $i,X14: $i] :
~ ( a @ X3 @ X14 ) ),
introduced(definition) ).
thf(c_0_37,plain,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_32,c_0_31]),c_0_28]) ).
thf(c_0_38,negated_conjecture,
epred10_0,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_39,plain,
( ~ epred15_0
<=> ! [X18: reg] :
( ( c @ X18 @ catalunya )
| ~ ( c @ X18 @ esk19_0 ) ) ),
introduced(definition) ).
thf(c_0_40,plain,
( ~ epred7_0
<=> ! [X18: reg] :
( ( c @ X18 @ france )
| ~ ( c @ X18 @ paris ) ) ),
introduced(definition) ).
thf(c_0_41,plain,
! [X18: reg,X3: $i,X14: $i] :
( ( c @ X18 @ france )
| ~ ( c @ X18 @ paris )
| ~ ( a @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_42,plain,
! [X3: $i,X14: $i] :
( epred8_0
| ~ ( a @ X3 @ X14 ) ),
inference(split_equiv,[status(thm)],[c_0_36]) ).
thf(c_0_43,plain,
! [X18: reg] :
( ( c @ X18 @ spain )
| epred9_0
| ~ ( c @ X18 @ catalunya ) ),
inference(split_equiv,[status(thm)],[c_0_31]) ).
thf(c_0_44,plain,
~ epred9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]) ).
thf(c_0_45,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ catalunya )
| epred15_0
| ~ ( c @ X18 @ esk19_0 ) ),
inference(split_equiv,[status(thm)],[c_0_39]) ).
thf(c_0_46,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk21_1 @ X18 ) @ X18 )
| ( c @ ( esk20_1 @ X18 ) @ X18 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_47,plain,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_41,c_0_40]),c_0_36]) ).
thf(c_0_48,negated_conjecture,
epred8_0,
inference(spm,[status(thm)],[c_0_42,c_0_34]) ).
thf(c_0_49,plain,
( ~ epred16_0
<=> ! [X19: reg] :
( ( c @ X19 @ paris )
| ~ ( c @ X19 @ esk18_0 ) ) ),
introduced(definition) ).
thf(c_0_50,plain,
( ~ epred23_0
<=> ! [X18: reg] :
( ( c @ X18 @ esk17_0 )
| ~ ( c @ X18 @ esk19_0 ) ) ),
introduced(definition) ).
thf(c_0_51,plain,
! [X18: reg] :
( ( c @ X18 @ spain )
| ~ ( c @ X18 @ catalunya ) ),
inference(sr,[status(thm)],[c_0_43,c_0_44]) ).
thf(c_0_52,negated_conjecture,
( ( c @ ( esk20_1 @ esk19_0 ) @ esk19_0 )
| ( c @ ( esk21_1 @ esk19_0 ) @ catalunya )
| epred15_0 ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
thf(c_0_53,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk21_1 @ X18 ) @ spain ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_54,plain,
! [X18: reg] :
( ( c @ X18 @ france )
| epred7_0
| ~ ( c @ X18 @ paris ) ),
inference(split_equiv,[status(thm)],[c_0_40]) ).
thf(c_0_55,plain,
~ epred7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
thf(c_0_56,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ paris )
| epred16_0
| ~ ( c @ X18 @ esk18_0 ) ),
inference(split_equiv,[status(thm)],[c_0_49]) ).
thf(c_0_57,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk23_1 @ X18 ) @ X18 )
| ( c @ ( esk22_1 @ X18 ) @ X18 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_58,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ esk17_0 )
| epred23_0
| ~ ( c @ X18 @ esk19_0 ) ),
inference(split_equiv,[status(thm)],[c_0_50]) ).
thf(c_0_59,negated_conjecture,
( ( c @ ( esk20_1 @ esk19_0 ) @ esk19_0 )
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
thf(c_0_60,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_61,plain,
( ~ epred28_0
<=> ! [X19: reg] :
( ( c @ X19 @ esk17_0 )
| ~ ( c @ X19 @ esk18_0 ) ) ),
introduced(definition) ).
thf(c_0_62,plain,
! [X18: reg] :
( ( c @ X18 @ france )
| ~ ( c @ X18 @ paris ) ),
inference(sr,[status(thm)],[c_0_54,c_0_55]) ).
thf(c_0_63,negated_conjecture,
( ( c @ ( esk22_1 @ esk18_0 ) @ esk18_0 )
| ( c @ ( esk23_1 @ esk18_0 ) @ paris )
| epred16_0 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
thf(c_0_64,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk22_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk23_1 @ X18 ) @ france ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_65,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk21_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_66,negated_conjecture,
! [X18: reg] :
( ~ ( c @ ( esk21_1 @ X18 ) @ spain )
| ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_67,negated_conjecture,
( ( c @ ( esk20_1 @ esk19_0 ) @ esk17_0 )
| epred15_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
thf(c_0_68,plain,
! [X18: reg,X19: reg] :
( ( c @ X19 @ X18 )
| ~ ( c @ X18 @ X19 ) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
thf(c_0_69,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ esk17_0 )
| epred28_0
| ~ ( c @ X18 @ esk18_0 ) ),
inference(split_equiv,[status(thm)],[c_0_61]) ).
thf(c_0_70,negated_conjecture,
( ( c @ ( esk22_1 @ esk18_0 ) @ esk18_0 )
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
thf(c_0_71,negated_conjecture,
( ( c @ ( esk21_1 @ esk19_0 ) @ catalunya )
| epred15_0
| ~ ( c @ ( esk20_1 @ esk19_0 ) @ esk17_0 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_65]) ).
thf(c_0_72,negated_conjecture,
( epred23_0
| epred15_0
| ~ ( c @ ( esk21_1 @ esk19_0 ) @ spain ) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
thf(c_0_73,plain,
! [X18: reg] :
( ( c @ X18 @ spain )
| ~ ( c @ catalunya @ X18 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_68]) ).
thf(c_0_74,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk23_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk22_1 @ X18 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_75,negated_conjecture,
! [X18: reg] :
( ~ ( c @ ( esk23_1 @ X18 ) @ france )
| ~ ( c @ ( esk22_1 @ X18 ) @ esk17_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_76,negated_conjecture,
( ( c @ ( esk22_1 @ esk18_0 ) @ esk17_0 )
| epred16_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
thf(c_0_77,plain,
( ~ epred24_0
<=> ! [X19: reg] :
( ( c @ X19 @ paris )
| ~ ( c @ X19 @ esk18_0 ) ) ),
introduced(definition) ).
thf(c_0_78,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ X18 @ catalunya )
| ( c @ X19 @ paris )
| ~ ( c @ X18 @ esk19_0 )
| ~ ( c @ X19 @ esk18_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_79,negated_conjecture,
( ( c @ ( esk21_1 @ esk19_0 ) @ catalunya )
| epred23_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_71,c_0_67]) ).
thf(c_0_80,negated_conjecture,
( epred15_0
| epred23_0
| ~ ( c @ catalunya @ ( esk21_1 @ esk19_0 ) ) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
thf(c_0_81,negated_conjecture,
( ( c @ ( esk23_1 @ esk18_0 ) @ paris )
| epred16_0
| ~ ( c @ ( esk22_1 @ esk18_0 ) @ esk17_0 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_74]) ).
thf(c_0_82,negated_conjecture,
( epred28_0
| epred16_0
| ~ ( c @ ( esk23_1 @ esk18_0 ) @ france ) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
thf(c_0_83,plain,
! [X18: reg] :
( ( c @ X18 @ france )
| ~ ( c @ paris @ X18 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_68]) ).
thf(c_0_84,plain,
( ~ epred27_0
<=> ! [X18: reg] :
( ( c @ X18 @ esk17_0 )
| ~ ( c @ X18 @ esk19_0 ) ) ),
introduced(definition) ).
thf(c_0_85,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ paris )
| epred24_0
| ~ ( c @ X18 @ esk18_0 ) ),
inference(split_equiv,[status(thm)],[c_0_77]) ).
thf(c_0_86,negated_conjecture,
( ~ epred16_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_78,c_0_39]),c_0_49]) ).
thf(c_0_87,negated_conjecture,
( epred15_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_79]),c_0_80]) ).
thf(c_0_88,negated_conjecture,
( ( c @ ( esk23_1 @ esk18_0 ) @ paris )
| epred28_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_81,c_0_76]) ).
thf(c_0_89,negated_conjecture,
( epred16_0
| epred28_0
| ~ ( c @ paris @ ( esk23_1 @ esk18_0 ) ) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
thf(c_0_90,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ esk17_0 )
| epred27_0
| ~ ( c @ X18 @ esk19_0 ) ),
inference(split_equiv,[status(thm)],[c_0_84]) ).
thf(c_0_91,plain,
( ~ epred26_0
<=> ! [X19: reg] :
( ( c @ X19 @ esk17_0 )
| ~ ( c @ X19 @ esk18_0 ) ) ),
introduced(definition) ).
thf(c_0_92,negated_conjecture,
( ( c @ ( esk22_1 @ esk18_0 ) @ esk18_0 )
| ( c @ ( esk23_1 @ esk18_0 ) @ paris )
| epred24_0 ),
inference(spm,[status(thm)],[c_0_85,c_0_57]) ).
thf(c_0_93,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk22_1 @ X18 ) @ X18 )
| ~ ( c @ paris @ ( esk23_1 @ X18 ) ) ),
inference(spm,[status(thm)],[c_0_64,c_0_83]) ).
thf(c_0_94,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ X18 @ esk17_0 )
| ( c @ X19 @ paris )
| ~ ( c @ X18 @ esk19_0 )
| ~ ( c @ X19 @ esk18_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_95,negated_conjecture,
( epred23_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
thf(c_0_96,negated_conjecture,
( epred16_0
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_88]),c_0_89]) ).
thf(c_0_97,negated_conjecture,
( ( c @ ( esk20_1 @ esk19_0 ) @ esk17_0 )
| epred15_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_59]) ).
thf(c_0_98,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ esk17_0 )
| epred26_0
| ~ ( c @ X18 @ esk18_0 ) ),
inference(split_equiv,[status(thm)],[c_0_91]) ).
thf(c_0_99,negated_conjecture,
( ( c @ ( esk22_1 @ esk18_0 ) @ esk18_0 )
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_92]),c_0_93]) ).
thf(c_0_100,negated_conjecture,
( ~ epred24_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_94,c_0_50]),c_0_77]) ).
thf(c_0_101,negated_conjecture,
( epred28_0
| epred23_0 ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
thf(c_0_102,negated_conjecture,
( epred27_0
| epred15_0
| ~ ( c @ ( esk21_1 @ esk19_0 ) @ spain ) ),
inference(spm,[status(thm)],[c_0_66,c_0_97]) ).
thf(c_0_103,negated_conjecture,
( ( c @ ( esk22_1 @ esk18_0 ) @ esk17_0 )
| epred16_0
| epred26_0 ),
inference(spm,[status(thm)],[c_0_98,c_0_70]) ).
thf(c_0_104,negated_conjecture,
! [X18: reg] :
( ~ ( c @ ( esk23_1 @ X18 ) @ france )
| ~ ( c @ esk17_0 @ ( esk22_1 @ X18 ) ) ),
inference(spm,[status(thm)],[c_0_75,c_0_68]) ).
thf(c_0_105,negated_conjecture,
( ( c @ ( esk22_1 @ esk18_0 ) @ esk17_0 )
| epred24_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_69,c_0_99]) ).
thf(c_0_106,negated_conjecture,
( epred28_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
thf(c_0_107,negated_conjecture,
( ( c @ ( esk21_1 @ esk19_0 ) @ catalunya )
| epred27_0
| epred15_0 ),
inference(spm,[status(thm)],[c_0_71,c_0_97]) ).
thf(c_0_108,negated_conjecture,
( epred15_0
| epred27_0
| ~ ( c @ catalunya @ ( esk21_1 @ esk19_0 ) ) ),
inference(spm,[status(thm)],[c_0_102,c_0_73]) ).
thf(c_0_109,negated_conjecture,
( epred26_0
| epred16_0
| ~ ( c @ ( esk23_1 @ esk18_0 ) @ france ) ),
inference(spm,[status(thm)],[c_0_75,c_0_103]) ).
thf(c_0_110,negated_conjecture,
( ( c @ ( esk23_1 @ esk18_0 ) @ paris )
| epred24_0
| ~ ( c @ ( esk22_1 @ esk18_0 ) @ esk17_0 ) ),
inference(spm,[status(thm)],[c_0_85,c_0_74]) ).
thf(c_0_111,negated_conjecture,
! [X18: reg] :
( ~ ( c @ esk17_0 @ ( esk22_1 @ X18 ) )
| ~ ( c @ paris @ ( esk23_1 @ X18 ) ) ),
inference(spm,[status(thm)],[c_0_104,c_0_83]) ).
thf(c_0_112,negated_conjecture,
( ( c @ esk17_0 @ ( esk22_1 @ esk18_0 ) )
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_105]),c_0_106]) ).
thf(c_0_113,plain,
( ~ epred25_0
<=> ! [X18: reg] :
( ( c @ X18 @ catalunya )
| ~ ( c @ X18 @ esk19_0 ) ) ),
introduced(definition) ).
thf(c_0_114,negated_conjecture,
( epred15_0
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_107]),c_0_108]) ).
thf(c_0_115,negated_conjecture,
( ( c @ ( esk23_1 @ esk18_0 ) @ paris )
| epred26_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_81,c_0_103]) ).
thf(c_0_116,negated_conjecture,
( epred16_0
| epred26_0
| ~ ( c @ paris @ ( esk23_1 @ esk18_0 ) ) ),
inference(spm,[status(thm)],[c_0_109,c_0_83]) ).
thf(c_0_117,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ X18 @ esk17_0 )
| ( c @ X19 @ esk17_0 )
| ~ ( c @ X18 @ esk19_0 )
| ~ ( c @ X19 @ esk18_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_118,negated_conjecture,
( ( c @ ( esk23_1 @ esk18_0 ) @ paris )
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_105]),c_0_106]) ).
thf(c_0_119,negated_conjecture,
( epred28_0
| ~ ( c @ paris @ ( esk23_1 @ esk18_0 ) ) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
thf(c_0_120,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ catalunya )
| epred25_0
| ~ ( c @ X18 @ esk19_0 ) ),
inference(split_equiv,[status(thm)],[c_0_113]) ).
thf(c_0_121,negated_conjecture,
( epred27_0
| ~ epred16_0 ),
inference(spm,[status(thm)],[c_0_86,c_0_114]) ).
thf(c_0_122,negated_conjecture,
( epred16_0
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_115]),c_0_116]) ).
thf(c_0_123,negated_conjecture,
( ~ epred28_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_117,c_0_84]),c_0_61]) ).
thf(c_0_124,negated_conjecture,
epred28_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_118]),c_0_119]) ).
thf(c_0_125,negated_conjecture,
( ( c @ ( esk20_1 @ esk19_0 ) @ esk19_0 )
| ( c @ ( esk21_1 @ esk19_0 ) @ catalunya )
| epred25_0 ),
inference(spm,[status(thm)],[c_0_120,c_0_46]) ).
thf(c_0_126,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ catalunya @ ( esk21_1 @ X18 ) ) ),
inference(spm,[status(thm)],[c_0_53,c_0_73]) ).
thf(c_0_127,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ X18 @ catalunya )
| ( c @ X19 @ esk17_0 )
| ~ ( c @ X18 @ esk19_0 )
| ~ ( c @ X19 @ esk18_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_128,negated_conjecture,
( epred26_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
thf(c_0_129,negated_conjecture,
~ epred27_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]) ).
thf(c_0_130,negated_conjecture,
( ( c @ ( esk20_1 @ esk19_0 ) @ esk19_0 )
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_125]),c_0_126]) ).
thf(c_0_131,negated_conjecture,
( ~ epred26_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_127,c_0_113]),c_0_91]) ).
thf(c_0_132,negated_conjecture,
epred26_0,
inference(sr,[status(thm)],[c_0_128,c_0_129]) ).
thf(c_0_133,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ X18 @ ( esk21_1 @ X18 ) ) ),
inference(spm,[status(thm)],[c_0_68,c_0_46]) ).
thf(c_0_134,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ ( esk21_1 @ X18 ) )
| ~ ( c @ ( esk20_1 @ X18 ) @ esk17_0 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_65]) ).
thf(c_0_135,negated_conjecture,
( ( c @ ( esk20_1 @ esk19_0 ) @ esk17_0 )
| epred25_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_130]) ).
thf(c_0_136,negated_conjecture,
~ epred25_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132])]) ).
thf(c_0_137,negated_conjecture,
! [X18: reg] :
( ( c @ X18 @ catalunya )
| epred25_0
| ~ ( c @ esk19_0 @ X18 ) ),
inference(spm,[status(thm)],[c_0_120,c_0_68]) ).
thf(c_0_138,negated_conjecture,
( ( c @ esk19_0 @ ( esk21_1 @ esk19_0 ) )
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_133]),c_0_134]) ).
thf(c_0_139,negated_conjecture,
c @ ( esk20_1 @ esk19_0 ) @ esk17_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_135,c_0_129]),c_0_136]) ).
thf(c_0_140,negated_conjecture,
( ( c @ ( esk21_1 @ esk19_0 ) @ catalunya )
| epred27_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
thf(c_0_141,negated_conjecture,
~ ( c @ ( esk21_1 @ esk19_0 ) @ spain ),
inference(spm,[status(thm)],[c_0_66,c_0_139]) ).
thf(c_0_142,negated_conjecture,
c @ ( esk21_1 @ esk19_0 ) @ catalunya,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_140,c_0_129]),c_0_136]) ).
thf(c_0_143,negated_conjecture,
~ ( c @ catalunya @ ( esk21_1 @ esk19_0 ) ),
inference(spm,[status(thm)],[c_0_141,c_0_73]) ).
thf(c_0_144,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_142]),c_0_143]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEG020^1 : TPTP v8.2.0. Released v4.1.0.
% 0.04/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 12:08:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.22/0.50 Running higher-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.y2biAShHm4/E---3.1_4405.p
% 0.85/0.62 # Version: 3.2.0-ho
% 0.85/0.62 # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.85/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.62 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.85/0.62 # Starting post_as_ho3 with 300s (1) cores
% 0.85/0.62 # Starting new_ho_12 with 300s (1) cores
% 0.85/0.62 # Starting new_bool_2 with 300s (1) cores
% 0.85/0.62 # new_ho_12 with pid 4486 completed with status 0
% 0.85/0.62 # Result found by new_ho_12
% 0.85/0.62 # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.85/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.62 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.85/0.62 # Starting post_as_ho3 with 300s (1) cores
% 0.85/0.62 # Starting new_ho_12 with 300s (1) cores
% 0.85/0.62 # No SInE strategy applied
% 0.85/0.62 # Search class: HGHNF-FFMF21-SHSSMSBN
% 0.85/0.62 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.85/0.62 # Starting new_ho_9 with 163s (1) cores
% 0.85/0.62 # new_ho_9 with pid 4492 completed with status 0
% 0.85/0.62 # Result found by new_ho_9
% 0.85/0.62 # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.85/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.62 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.85/0.62 # Starting post_as_ho3 with 300s (1) cores
% 0.85/0.62 # Starting new_ho_12 with 300s (1) cores
% 0.85/0.62 # No SInE strategy applied
% 0.85/0.62 # Search class: HGHNF-FFMF21-SHSSMSBN
% 0.85/0.62 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.85/0.62 # Starting new_ho_9 with 163s (1) cores
% 0.85/0.62 # Preprocessing time : 0.004 s
% 0.85/0.62 # Presaturation interreduction done
% 0.85/0.62
% 0.85/0.62 # Proof found!
% 0.85/0.62 # SZS status Theorem
% 0.85/0.62 # SZS output start CNFRefutation
% See solution above
% 0.85/0.62 # Parsed axioms : 98
% 0.85/0.62 # Removed by relevancy pruning/SinE : 0
% 0.85/0.62 # Initial clauses : 95
% 0.85/0.62 # Removed in clause preprocessing : 49
% 0.85/0.62 # Initial clauses in saturation : 46
% 0.85/0.62 # Processed clauses : 1194
% 0.85/0.62 # ...of these trivial : 41
% 0.85/0.62 # ...subsumed : 279
% 0.85/0.62 # ...remaining for further processing : 874
% 0.85/0.62 # Other redundant clauses eliminated : 0
% 0.85/0.62 # Clauses deleted for lack of memory : 0
% 0.85/0.62 # Backward-subsumed : 124
% 0.85/0.62 # Backward-rewritten : 176
% 0.85/0.62 # Generated clauses : 1858
% 0.85/0.62 # ...of the previous two non-redundant : 1742
% 0.85/0.62 # ...aggressively subsumed : 0
% 0.85/0.62 # Contextual simplify-reflections : 37
% 0.85/0.62 # Paramodulations : 1715
% 0.85/0.62 # Factorizations : 0
% 0.85/0.62 # NegExts : 0
% 0.85/0.62 # Equation resolutions : 0
% 0.85/0.62 # Disequality decompositions : 0
% 0.85/0.62 # Total rewrite steps : 357
% 0.85/0.62 # ...of those cached : 269
% 0.85/0.62 # Propositional unsat checks : 0
% 0.85/0.62 # Propositional check models : 0
% 0.85/0.62 # Propositional check unsatisfiable : 0
% 0.85/0.62 # Propositional clauses : 0
% 0.85/0.62 # Propositional clauses after purity: 0
% 0.85/0.62 # Propositional unsat core size : 0
% 0.85/0.62 # Propositional preprocessing time : 0.000
% 0.85/0.62 # Propositional encoding time : 0.000
% 0.85/0.62 # Propositional solver time : 0.000
% 0.85/0.62 # Success case prop preproc time : 0.000
% 0.85/0.62 # Success case prop encoding time : 0.000
% 0.85/0.62 # Success case prop solver time : 0.000
% 0.85/0.62 # Current number of processed clauses : 385
% 0.85/0.62 # Positive orientable unit clauses : 95
% 0.85/0.62 # Positive unorientable unit clauses: 0
% 0.85/0.62 # Negative unit clauses : 54
% 0.85/0.62 # Non-unit-clauses : 236
% 0.85/0.62 # Current number of unprocessed clauses: 601
% 0.85/0.62 # ...number of literals in the above : 2017
% 0.85/0.62 # Current number of archived formulas : 0
% 0.85/0.62 # Current number of archived clauses : 467
% 0.85/0.62 # Clause-clause subsumption calls (NU) : 50464
% 0.85/0.62 # Rec. Clause-clause subsumption calls : 29467
% 0.85/0.62 # Non-unit clause-clause subsumptions : 384
% 0.85/0.62 # Unit Clause-clause subsumption calls : 4640
% 0.85/0.62 # Rewrite failures with RHS unbound : 0
% 0.85/0.62 # BW rewrite match attempts : 62
% 0.85/0.62 # BW rewrite match successes : 48
% 0.85/0.62 # Condensation attempts : 1211
% 0.85/0.62 # Condensation successes : 0
% 0.85/0.62 # Termbank termtop insertions : 25851
% 0.85/0.62 # Search garbage collected termcells : 2258
% 0.85/0.62
% 0.85/0.62 # -------------------------------------------------
% 0.85/0.62 # User time : 0.110 s
% 0.85/0.62 # System time : 0.004 s
% 0.85/0.62 # Total time : 0.114 s
% 0.85/0.62 # Maximum resident set size: 2316 pages
% 0.85/0.62
% 0.85/0.62 # -------------------------------------------------
% 0.85/0.62 # User time : 0.111 s
% 0.85/0.62 # System time : 0.008 s
% 0.85/0.62 # Total time : 0.119 s
% 0.85/0.62 # Maximum resident set size: 1824 pages
% 0.85/0.62 % E---3.1 exiting
% 0.85/0.62 % E exiting
%------------------------------------------------------------------------------