TSTP Solution File: GEG006^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GEG006^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:56:52 EDT 2024
% Result : Theorem 3.18s 0.89s
% Output : CNFRefutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 42
% Syntax : Number of formulae : 122 ( 30 unt; 30 typ; 0 def)
% Number of atoms : 508 ( 21 equ; 0 cnn)
% Maximal formula atoms : 65 ( 5 avg)
% Number of connectives : 1726 ( 176 ~; 221 |; 95 &;1179 @)
% ( 0 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 29 usr; 10 con; 0-3 aty)
% Number of variables : 227 ( 45 ^ 155 !; 27 ?; 227 :)
% 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_1: reg > reg ).
thf(decl_86,type,
esk18_1: reg > reg ).
thf(decl_87,type,
esk19_1: reg > reg ).
thf(decl_88,type,
esk20_1: reg > reg ).
thf(o,axiom,
( o
= ( ^ [X28: reg,X29: reg] :
? [X25: reg] :
( ( p @ X25 @ X28 )
& ( p @ X25 @ X29 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',o) ).
thf(p,axiom,
( p
= ( ^ [X23: reg,X24: reg] :
! [X25: reg] :
( ( c @ X25 @ X23 )
=> ( c @ X25 @ X24 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',p) ).
thf(mbox,axiom,
( mbox
= ( ^ [X13: $i > $i > $o,X6: $i > $o,X3: $i] :
! [X14: $i] :
( ~ ( X13 @ X3 @ X14 )
| ( X6 @ X14 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(ec,axiom,
( ec
= ( ^ [X32: reg,X33: reg] :
( ( c @ X32 @ X33 )
& ~ ( o @ X32 @ X33 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',ec) ).
thf(pp,axiom,
( pp
= ( ^ [X34: reg,X35: reg] :
( ( p @ X34 @ X35 )
& ~ ( p @ X35 @ X34 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',pp) ).
thf(con,conjecture,
( mvalid
@ ( mbox @ a
@ ^ [X44: $i] :
( ( o @ catalunya @ spain )
& ( o @ france @ paris ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(tpp,axiom,
( tpp
= ( ^ [X36: reg,X37: reg] :
( ( pp @ X36 @ X37 )
& ? [X25: reg] :
( ( ec @ X25 @ X36 )
& ( ec @ X25 @ X37 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',tpp) ).
thf(ax1,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X41: $i] : ( tpp @ catalunya @ spain ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(c_symmetric,axiom,
! [X19: reg,X20: reg] :
( ( c @ X19 @ X20 )
=> ( c @ X20 @ X19 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',c_symmetric) ).
thf(ntpp,axiom,
( ntpp
= ( ^ [X38: reg,X39: reg] :
( ( pp @ X38 @ X39 )
& ~ ? [X25: reg] :
( ( ec @ X25 @ X38 )
& ( ec @ X25 @ X39 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',ntpp) ).
thf(ax3,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X43: $i] : ( ntpp @ paris @ france ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
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,
( 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_15,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_16,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_17,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_18,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_19,negated_conjecture,
~ ! [X127: $i,X126: $i] :
( ~ ( a @ X127 @ X126 )
| ( ? [X120: reg] :
( ! [X121: reg] :
( ( c @ X121 @ X120 )
=> ( c @ X121 @ catalunya ) )
& ! [X122: reg] :
( ( c @ X122 @ X120 )
=> ( c @ X122 @ spain ) ) )
& ? [X123: reg] :
( ! [X124: reg] :
( ( c @ X124 @ X123 )
=> ( c @ X124 @ france ) )
& ! [X125: reg] :
( ( c @ X125 @ X123 )
=> ( c @ X125 @ paris ) ) ) ) ),
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_14]),c_0_15]),c_0_16])]) ).
thf(c_0_20,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_21,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_17,c_0_16]) ).
thf(c_0_22,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_18,c_0_13]) ).
thf(c_0_23,negated_conjecture,
! [X172: reg,X175: reg] :
( ( a @ esk15_0 @ esk16_0 )
& ( ( c @ ( esk20_1 @ X175 ) @ X175 )
| ( c @ ( esk19_1 @ X175 ) @ X175 )
| ( c @ ( esk18_1 @ X172 ) @ X172 )
| ( c @ ( esk17_1 @ X172 ) @ X172 ) )
& ( ~ ( c @ ( esk20_1 @ X175 ) @ paris )
| ( c @ ( esk19_1 @ X175 ) @ X175 )
| ( c @ ( esk18_1 @ X172 ) @ X172 )
| ( c @ ( esk17_1 @ X172 ) @ X172 ) )
& ( ( c @ ( esk20_1 @ X175 ) @ X175 )
| ~ ( c @ ( esk19_1 @ X175 ) @ france )
| ( c @ ( esk18_1 @ X172 ) @ X172 )
| ( c @ ( esk17_1 @ X172 ) @ X172 ) )
& ( ~ ( c @ ( esk20_1 @ X175 ) @ paris )
| ~ ( c @ ( esk19_1 @ X175 ) @ france )
| ( c @ ( esk18_1 @ X172 ) @ X172 )
| ( c @ ( esk17_1 @ X172 ) @ X172 ) )
& ( ( c @ ( esk20_1 @ X175 ) @ X175 )
| ( c @ ( esk19_1 @ X175 ) @ X175 )
| ~ ( c @ ( esk18_1 @ X172 ) @ spain )
| ( c @ ( esk17_1 @ X172 ) @ X172 ) )
& ( ~ ( c @ ( esk20_1 @ X175 ) @ paris )
| ( c @ ( esk19_1 @ X175 ) @ X175 )
| ~ ( c @ ( esk18_1 @ X172 ) @ spain )
| ( c @ ( esk17_1 @ X172 ) @ X172 ) )
& ( ( c @ ( esk20_1 @ X175 ) @ X175 )
| ~ ( c @ ( esk19_1 @ X175 ) @ france )
| ~ ( c @ ( esk18_1 @ X172 ) @ spain )
| ( c @ ( esk17_1 @ X172 ) @ X172 ) )
& ( ~ ( c @ ( esk20_1 @ X175 ) @ paris )
| ~ ( c @ ( esk19_1 @ X175 ) @ france )
| ~ ( c @ ( esk18_1 @ X172 ) @ spain )
| ( c @ ( esk17_1 @ X172 ) @ X172 ) )
& ( ( c @ ( esk20_1 @ X175 ) @ X175 )
| ( c @ ( esk19_1 @ X175 ) @ X175 )
| ( c @ ( esk18_1 @ X172 ) @ X172 )
| ~ ( c @ ( esk17_1 @ X172 ) @ catalunya ) )
& ( ~ ( c @ ( esk20_1 @ X175 ) @ paris )
| ( c @ ( esk19_1 @ X175 ) @ X175 )
| ( c @ ( esk18_1 @ X172 ) @ X172 )
| ~ ( c @ ( esk17_1 @ X172 ) @ catalunya ) )
& ( ( c @ ( esk20_1 @ X175 ) @ X175 )
| ~ ( c @ ( esk19_1 @ X175 ) @ france )
| ( c @ ( esk18_1 @ X172 ) @ X172 )
| ~ ( c @ ( esk17_1 @ X172 ) @ catalunya ) )
& ( ~ ( c @ ( esk20_1 @ X175 ) @ paris )
| ~ ( c @ ( esk19_1 @ X175 ) @ france )
| ( c @ ( esk18_1 @ X172 ) @ X172 )
| ~ ( c @ ( esk17_1 @ X172 ) @ catalunya ) )
& ( ( c @ ( esk20_1 @ X175 ) @ X175 )
| ( c @ ( esk19_1 @ X175 ) @ X175 )
| ~ ( c @ ( esk18_1 @ X172 ) @ spain )
| ~ ( c @ ( esk17_1 @ X172 ) @ catalunya ) )
& ( ~ ( c @ ( esk20_1 @ X175 ) @ paris )
| ( c @ ( esk19_1 @ X175 ) @ X175 )
| ~ ( c @ ( esk18_1 @ X172 ) @ spain )
| ~ ( c @ ( esk17_1 @ X172 ) @ catalunya ) )
& ( ( c @ ( esk20_1 @ X175 ) @ X175 )
| ~ ( c @ ( esk19_1 @ X175 ) @ france )
| ~ ( c @ ( esk18_1 @ X172 ) @ spain )
| ~ ( c @ ( esk17_1 @ X172 ) @ catalunya ) )
& ( ~ ( c @ ( esk20_1 @ X175 ) @ paris )
| ~ ( c @ ( esk19_1 @ X175 ) @ france )
| ~ ( c @ ( esk18_1 @ X172 ) @ spain )
| ~ ( c @ ( esk17_1 @ X172 ) @ catalunya ) ) ),
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_19])])])])])]) ).
thf(c_0_24,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_20,c_0_21]),c_0_22]) ).
thf(c_0_25,negated_conjecture,
! [X19: reg,X18: reg] :
( ( c @ ( esk19_1 @ X18 ) @ X18 )
| ( c @ ( esk18_1 @ X19 ) @ X19 )
| ( c @ ( esk17_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_26,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ ( esk19_1 @ X18 ) @ X18 )
| ( c @ ( esk18_1 @ X19 ) @ X19 )
| ( c @ ( esk17_1 @ X19 ) @ X19 ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_27,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_14]),c_0_15]),c_0_24])]) ).
thf(c_0_28,plain,
! [X129: reg,X130: reg] :
( ~ ( c @ X129 @ X130 )
| ( c @ X130 @ X129 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_symmetric])])]) ).
thf(c_0_29,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk19_1 @ paris ) @ paris )
| ( c @ ( esk18_1 @ X18 ) @ X18 )
| ( c @ ( esk17_1 @ X18 ) @ X18 )
| ( c @ ( esk18_1 @ X19 ) @ X19 )
| ( c @ ( esk17_1 @ X19 ) @ X19 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_30,plain,
! [X143: $i,X144: $i,X145: reg,X148: reg,X151: reg] :
( ( ~ ( c @ X145 @ catalunya )
| ( c @ X145 @ spain )
| ~ ( a @ X143 @ X144 ) )
& ( ( c @ esk4_0 @ spain )
| ~ ( a @ X143 @ X144 ) )
& ( ~ ( c @ esk4_0 @ catalunya )
| ~ ( a @ X143 @ X144 ) )
& ( ( c @ esk5_0 @ catalunya )
| ~ ( a @ X143 @ X144 ) )
& ( ( c @ ( esk7_1 @ X148 ) @ X148 )
| ( c @ ( esk6_1 @ X148 ) @ X148 )
| ~ ( a @ X143 @ X144 ) )
& ( ~ ( c @ ( esk7_1 @ X148 ) @ catalunya )
| ( c @ ( esk6_1 @ X148 ) @ X148 )
| ~ ( a @ X143 @ X144 ) )
& ( ( c @ ( esk7_1 @ X148 ) @ X148 )
| ~ ( c @ ( esk6_1 @ X148 ) @ esk5_0 )
| ~ ( a @ X143 @ X144 ) )
& ( ~ ( c @ ( esk7_1 @ X148 ) @ catalunya )
| ~ ( c @ ( esk6_1 @ X148 ) @ esk5_0 )
| ~ ( a @ X143 @ X144 ) )
& ( ( c @ esk5_0 @ spain )
| ~ ( a @ X143 @ X144 ) )
& ( ( c @ ( esk9_1 @ X151 ) @ X151 )
| ( c @ ( esk8_1 @ X151 ) @ X151 )
| ~ ( a @ X143 @ X144 ) )
& ( ~ ( c @ ( esk9_1 @ X151 ) @ spain )
| ( c @ ( esk8_1 @ X151 ) @ X151 )
| ~ ( a @ X143 @ X144 ) )
& ( ( c @ ( esk9_1 @ X151 ) @ X151 )
| ~ ( c @ ( esk8_1 @ X151 ) @ esk5_0 )
| ~ ( a @ X143 @ X144 ) )
& ( ~ ( c @ ( esk9_1 @ X151 ) @ spain )
| ~ ( c @ ( esk8_1 @ X151 ) @ esk5_0 )
| ~ ( a @ X143 @ X144 ) ) ),
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_27])])])])])])]) ).
thf(c_0_31,plain,
! [X18: reg,X19: reg] :
( ( c @ X19 @ X18 )
| ~ ( c @ X18 @ X19 ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_32,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk19_1 @ paris ) @ paris )
| ( c @ ( esk18_1 @ X18 ) @ X18 )
| ( c @ ( esk17_1 @ X18 ) @ X18 ) ),
inference(ef,[status(thm)],[c_0_29]) ).
thf(c_0_33,plain,
! [X18: reg,X3: $i,X14: $i] :
( ( c @ X18 @ spain )
| ~ ( c @ X18 @ catalunya )
| ~ ( a @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_34,negated_conjecture,
! [X18: reg] :
( ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk17_1 @ X18 ) @ X18 )
| ( c @ ( esk18_1 @ X18 ) @ X18 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_35,negated_conjecture,
! [X3: $i,X14: $i] :
( ( c @ ( esk17_1 @ catalunya ) @ catalunya )
| ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk18_1 @ catalunya ) @ spain )
| ~ ( a @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_36,negated_conjecture,
a @ esk15_0 @ esk16_0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_37,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk19_1 @ X18 ) @ X18 )
| ( c @ ( esk17_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris )
| ~ ( c @ ( esk18_1 @ X19 ) @ spain ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_38,negated_conjecture,
( ( c @ ( esk18_1 @ catalunya ) @ spain )
| ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk17_1 @ catalunya ) @ catalunya ) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
thf(c_0_39,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ ( esk19_1 @ X18 ) @ X18 )
| ( c @ ( esk17_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk18_1 @ X19 ) @ spain ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_40,negated_conjecture,
! [X18: reg] :
( ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk17_1 @ catalunya ) @ catalunya )
| ( c @ ( esk19_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris ) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
thf(c_0_41,negated_conjecture,
! [X18: reg] :
( ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk17_1 @ catalunya ) @ catalunya )
| ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ ( esk19_1 @ X18 ) @ X18 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_38]) ).
thf(c_0_42,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk19_1 @ X18 ) @ X18 )
| ( c @ ( esk18_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris )
| ~ ( c @ ( esk17_1 @ X19 ) @ catalunya ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_43,negated_conjecture,
! [X18: reg] :
( ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk17_1 @ X18 ) @ X18 )
| ( c @ X18 @ ( esk18_1 @ X18 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_34]) ).
thf(c_0_44,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ ( esk19_1 @ X18 ) @ X18 )
| ( c @ ( esk18_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk17_1 @ X19 ) @ catalunya ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_45,negated_conjecture,
( ( c @ ( esk17_1 @ catalunya ) @ catalunya )
| ( c @ paris @ ( esk19_1 @ paris ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_31]) ).
thf(c_0_46,negated_conjecture,
! [X18: reg] :
( ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk18_1 @ catalunya ) @ catalunya )
| ( c @ ( esk19_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_31]) ).
thf(c_0_47,negated_conjecture,
! [X18: reg] :
( ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk18_1 @ catalunya ) @ catalunya )
| ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ ( esk19_1 @ X18 ) @ X18 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
thf(c_0_48,negated_conjecture,
( ( c @ ( esk18_1 @ catalunya ) @ catalunya )
| ( c @ paris @ ( esk19_1 @ paris ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_31]) ).
thf(c_0_49,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_50,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk19_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris )
| ~ ( c @ ( esk18_1 @ X19 ) @ spain )
| ~ ( c @ ( esk17_1 @ X19 ) @ catalunya ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_51,negated_conjecture,
! [X3: $i,X14: $i] :
( ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk18_1 @ catalunya ) @ spain )
| ~ ( a @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_48]) ).
thf(c_0_52,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ ( esk19_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk18_1 @ X19 ) @ spain )
| ~ ( c @ ( esk17_1 @ X19 ) @ catalunya ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_53,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_49,c_0_21]),c_0_22]) ).
thf(c_0_54,negated_conjecture,
! [X18: reg] :
( ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk19_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk18_1 @ catalunya ) @ spain )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris ) ),
inference(spm,[status(thm)],[c_0_50,c_0_45]) ).
thf(c_0_55,negated_conjecture,
( ( c @ ( esk18_1 @ catalunya ) @ spain )
| ( c @ paris @ ( esk19_1 @ paris ) ) ),
inference(spm,[status(thm)],[c_0_51,c_0_36]) ).
thf(c_0_56,negated_conjecture,
! [X18: reg] :
( ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ ( esk19_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk18_1 @ catalunya ) @ spain ) ),
inference(spm,[status(thm)],[c_0_52,c_0_45]) ).
thf(c_0_57,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_14]),c_0_15]),c_0_53])]) ).
thf(c_0_58,negated_conjecture,
! [X18: reg] :
( ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk19_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris ) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
thf(c_0_59,negated_conjecture,
! [X18: reg] :
( ( c @ paris @ ( esk19_1 @ paris ) )
| ( c @ ( esk19_1 @ X18 ) @ X18 )
| ( c @ ( esk20_1 @ X18 ) @ X18 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_55]) ).
thf(c_0_60,plain,
! [X159: $i,X160: $i,X161: reg,X163: reg,X165: reg,X166: reg,X168: reg,X169: reg] :
( ( ~ ( c @ X161 @ paris )
| ( c @ X161 @ france )
| ~ ( a @ X159 @ X160 ) )
& ( ( c @ esk12_0 @ france )
| ~ ( a @ X159 @ X160 ) )
& ( ~ ( c @ esk12_0 @ paris )
| ~ ( a @ X159 @ X160 ) )
& ( ~ ( c @ X168 @ ( esk14_1 @ X163 ) )
| ( c @ X168 @ X163 )
| ~ ( c @ X163 @ france )
| ~ ( c @ X165 @ ( esk13_1 @ X163 ) )
| ( c @ X165 @ X163 )
| ~ ( c @ X163 @ paris )
| ~ ( a @ X159 @ X160 ) )
& ( ~ ( c @ X169 @ ( esk14_1 @ X163 ) )
| ( c @ X169 @ france )
| ~ ( c @ X163 @ france )
| ~ ( c @ X165 @ ( esk13_1 @ X163 ) )
| ( c @ X165 @ X163 )
| ~ ( c @ X163 @ paris )
| ~ ( a @ X159 @ X160 ) )
& ( ~ ( c @ X168 @ ( esk14_1 @ X163 ) )
| ( c @ X168 @ X163 )
| ~ ( c @ X163 @ france )
| ~ ( c @ X166 @ ( esk13_1 @ X163 ) )
| ( c @ X166 @ paris )
| ~ ( c @ X163 @ paris )
| ~ ( a @ X159 @ X160 ) )
& ( ~ ( c @ X169 @ ( esk14_1 @ X163 ) )
| ( c @ X169 @ france )
| ~ ( c @ X163 @ france )
| ~ ( c @ X166 @ ( esk13_1 @ X163 ) )
| ( c @ X166 @ paris )
| ~ ( c @ X163 @ paris )
| ~ ( a @ X159 @ X160 ) ) ),
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_57])])])])])])]) ).
thf(c_0_61,negated_conjecture,
c @ paris @ ( esk19_1 @ paris ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_31]) ).
thf(c_0_62,plain,
! [X18: reg,X3: $i,X14: $i] :
( ( c @ X18 @ france )
| ~ ( c @ X18 @ paris )
| ~ ( a @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
thf(c_0_63,negated_conjecture,
c @ ( esk19_1 @ paris ) @ paris,
inference(spm,[status(thm)],[c_0_31,c_0_61]) ).
thf(c_0_64,negated_conjecture,
! [X3: $i,X14: $i] :
( ( c @ ( esk19_1 @ paris ) @ france )
| ~ ( a @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
thf(c_0_65,negated_conjecture,
! [X19: reg,X18: reg] :
( ( c @ ( esk18_1 @ X19 ) @ X19 )
| ( c @ ( esk17_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris )
| ~ ( c @ ( esk19_1 @ X18 ) @ france ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_66,negated_conjecture,
c @ ( esk19_1 @ paris ) @ france,
inference(spm,[status(thm)],[c_0_64,c_0_36]) ).
thf(c_0_67,negated_conjecture,
! [X19: reg,X18: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ ( esk18_1 @ X19 ) @ X19 )
| ( c @ ( esk17_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk19_1 @ X18 ) @ france ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_68,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk18_1 @ X18 ) @ X18 )
| ( c @ ( esk17_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk20_1 @ paris ) @ paris ) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
thf(c_0_69,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk18_1 @ X18 ) @ X18 )
| ( c @ ( esk17_1 @ X18 ) @ X18 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_66]),c_0_68]) ).
thf(c_0_70,negated_conjecture,
! [X3: $i,X14: $i] :
( ( c @ ( esk17_1 @ catalunya ) @ catalunya )
| ( c @ ( esk18_1 @ catalunya ) @ spain )
| ~ ( a @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_69]) ).
thf(c_0_71,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ ( esk17_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk19_1 @ X18 ) @ france )
| ~ ( c @ ( esk18_1 @ X19 ) @ spain ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_72,negated_conjecture,
( ( c @ ( esk18_1 @ catalunya ) @ spain )
| ( c @ ( esk17_1 @ catalunya ) @ catalunya ) ),
inference(spm,[status(thm)],[c_0_70,c_0_36]) ).
thf(c_0_73,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk17_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris )
| ~ ( c @ ( esk19_1 @ X18 ) @ france )
| ~ ( c @ ( esk18_1 @ X19 ) @ spain ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_74,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk17_1 @ catalunya ) @ catalunya )
| ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk19_1 @ X18 ) @ france ) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
thf(c_0_75,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk17_1 @ catalunya ) @ catalunya )
| ~ ( c @ ( esk19_1 @ X18 ) @ france )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris ) ),
inference(spm,[status(thm)],[c_0_73,c_0_72]) ).
thf(c_0_76,negated_conjecture,
( ( c @ ( esk20_1 @ paris ) @ paris )
| ( c @ ( esk17_1 @ catalunya ) @ catalunya ) ),
inference(spm,[status(thm)],[c_0_74,c_0_66]) ).
thf(c_0_77,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ( c @ ( esk18_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk19_1 @ X18 ) @ france )
| ~ ( c @ ( esk17_1 @ X19 ) @ catalunya ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_78,negated_conjecture,
c @ ( esk17_1 @ catalunya ) @ catalunya,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_66])]) ).
thf(c_0_79,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk18_1 @ X19 ) @ X19 )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris )
| ~ ( c @ ( esk19_1 @ X18 ) @ france )
| ~ ( c @ ( esk17_1 @ X19 ) @ catalunya ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_80,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk17_1 @ X18 ) @ X18 )
| ( c @ X18 @ ( esk18_1 @ X18 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_69]) ).
thf(c_0_81,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk18_1 @ catalunya ) @ catalunya )
| ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk19_1 @ X18 ) @ france ) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
thf(c_0_82,negated_conjecture,
! [X18: reg,X19: reg] :
( ~ ( c @ ( esk20_1 @ X18 ) @ paris )
| ~ ( c @ ( esk19_1 @ X18 ) @ france )
| ~ ( c @ ( esk18_1 @ X19 ) @ spain )
| ~ ( c @ ( esk17_1 @ X19 ) @ catalunya ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_83,negated_conjecture,
! [X18: reg,X19: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk19_1 @ X18 ) @ france )
| ~ ( c @ ( esk18_1 @ X19 ) @ spain )
| ~ ( c @ ( esk17_1 @ X19 ) @ catalunya ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_84,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk18_1 @ catalunya ) @ catalunya )
| ~ ( c @ ( esk19_1 @ X18 ) @ france )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_31]) ).
thf(c_0_85,negated_conjecture,
( ( c @ ( esk20_1 @ paris ) @ paris )
| ( c @ ( esk18_1 @ catalunya ) @ catalunya ) ),
inference(spm,[status(thm)],[c_0_81,c_0_66]) ).
thf(c_0_86,negated_conjecture,
! [X18: reg] :
( ~ ( c @ ( esk18_1 @ catalunya ) @ spain )
| ~ ( c @ ( esk19_1 @ X18 ) @ france )
| ~ ( c @ ( esk20_1 @ X18 ) @ paris ) ),
inference(spm,[status(thm)],[c_0_82,c_0_78]) ).
thf(c_0_87,negated_conjecture,
! [X18: reg] :
( ( c @ ( esk20_1 @ X18 ) @ X18 )
| ~ ( c @ ( esk18_1 @ catalunya ) @ spain )
| ~ ( c @ ( esk19_1 @ X18 ) @ france ) ),
inference(spm,[status(thm)],[c_0_83,c_0_78]) ).
thf(c_0_88,negated_conjecture,
c @ ( esk18_1 @ catalunya ) @ catalunya,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_66])]) ).
thf(c_0_89,negated_conjecture,
~ ( c @ ( esk18_1 @ catalunya ) @ spain ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_66])]) ).
thf(c_0_90,negated_conjecture,
! [X3: $i,X14: $i] :
~ ( a @ X3 @ X14 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_88]),c_0_89]) ).
thf(c_0_91,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_36,c_0_90]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEG006^1 : TPTP v8.2.0. Released v4.1.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 21:58:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running higher-order theorem proving
% 0.20/0.47 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/benchmark/theBenchmark.p
% 3.18/0.89 # Version: 3.1.0-ho
% 3.18/0.89 # Preprocessing class: HSMSSMSSMLLNHSN.
% 3.18/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.18/0.89 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 3.18/0.89 # Starting post_as_ho3 with 300s (1) cores
% 3.18/0.89 # Starting new_ho_12 with 300s (1) cores
% 3.18/0.89 # Starting new_bool_2 with 300s (1) cores
% 3.18/0.89 # new_ho_10_cnf2 with pid 9668 completed with status 0
% 3.18/0.89 # Result found by new_ho_10_cnf2
% 3.18/0.89 # Preprocessing class: HSMSSMSSMLLNHSN.
% 3.18/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.18/0.89 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 3.18/0.89 # No SInE strategy applied
% 3.18/0.89 # Search class: HGHNF-FFMF21-SHSSMSBN
% 3.18/0.89 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.18/0.89 # Starting new_ho_9 with 811s (1) cores
% 3.18/0.89 # Starting new_ho_10_cnf2 with 151s (1) cores
% 3.18/0.89 # Starting pre_casc_8 with 136s (1) cores
% 3.18/0.89 # Starting post_as_ho2 with 136s (1) cores
% 3.18/0.89 # Starting post_as_ho1 with 136s (1) cores
% 3.18/0.89 # post_as_ho1 with pid 9679 completed with status 0
% 3.18/0.89 # Result found by post_as_ho1
% 3.18/0.89 # Preprocessing class: HSMSSMSSMLLNHSN.
% 3.18/0.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.18/0.89 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 3.18/0.89 # No SInE strategy applied
% 3.18/0.89 # Search class: HGHNF-FFMF21-SHSSMSBN
% 3.18/0.89 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.18/0.89 # Starting new_ho_9 with 811s (1) cores
% 3.18/0.89 # Starting new_ho_10_cnf2 with 151s (1) cores
% 3.18/0.89 # Starting pre_casc_8 with 136s (1) cores
% 3.18/0.89 # Starting post_as_ho2 with 136s (1) cores
% 3.18/0.89 # Starting post_as_ho1 with 136s (1) cores
% 3.18/0.89 # Preprocessing time : 0.002 s
% 3.18/0.89 # Presaturation interreduction done
% 3.18/0.89
% 3.18/0.89 # Proof found!
% 3.18/0.89 # SZS status Theorem
% 3.18/0.89 # SZS output start CNFRefutation
% See solution above
% 3.18/0.89 # Parsed axioms : 98
% 3.18/0.89 # Removed by relevancy pruning/SinE : 0
% 3.18/0.89 # Initial clauses : 99
% 3.18/0.89 # Removed in clause preprocessing : 49
% 3.18/0.89 # Initial clauses in saturation : 50
% 3.18/0.89 # Processed clauses : 1127
% 3.18/0.89 # ...of these trivial : 3
% 3.18/0.89 # ...subsumed : 320
% 3.18/0.89 # ...remaining for further processing : 804
% 3.18/0.89 # Other redundant clauses eliminated : 0
% 3.18/0.89 # Clauses deleted for lack of memory : 0
% 3.18/0.89 # Backward-subsumed : 395
% 3.18/0.89 # Backward-rewritten : 99
% 3.18/0.89 # Generated clauses : 8836
% 3.18/0.89 # ...of the previous two non-redundant : 7942
% 3.18/0.89 # ...aggressively subsumed : 0
% 3.18/0.89 # Contextual simplify-reflections : 28
% 3.18/0.89 # Paramodulations : 8819
% 3.18/0.89 # Factorizations : 16
% 3.18/0.89 # NegExts : 0
% 3.18/0.89 # Equation resolutions : 0
% 3.18/0.89 # Disequality decompositions : 0
% 3.18/0.89 # Total rewrite steps : 1678
% 3.18/0.89 # ...of those cached : 1625
% 3.18/0.89 # Propositional unsat checks : 0
% 3.18/0.89 # Propositional check models : 0
% 3.18/0.89 # Propositional check unsatisfiable : 0
% 3.18/0.89 # Propositional clauses : 0
% 3.18/0.89 # Propositional clauses after purity: 0
% 3.18/0.89 # Propositional unsat core size : 0
% 3.18/0.89 # Propositional preprocessing time : 0.000
% 3.18/0.89 # Propositional encoding time : 0.000
% 3.18/0.89 # Propositional solver time : 0.000
% 3.18/0.89 # Success case prop preproc time : 0.000
% 3.18/0.89 # Success case prop encoding time : 0.000
% 3.18/0.89 # Success case prop solver time : 0.000
% 3.18/0.89 # Current number of processed clauses : 259
% 3.18/0.89 # Positive orientable unit clauses : 55
% 3.18/0.89 # Positive unorientable unit clauses: 0
% 3.18/0.89 # Negative unit clauses : 4
% 3.18/0.89 # Non-unit-clauses : 200
% 3.18/0.89 # Current number of unprocessed clauses: 6769
% 3.18/0.89 # ...number of literals in the above : 43985
% 3.18/0.89 # Current number of archived formulas : 0
% 3.18/0.89 # Current number of archived clauses : 545
% 3.18/0.89 # Clause-clause subsumption calls (NU) : 163554
% 3.18/0.89 # Rec. Clause-clause subsumption calls : 42143
% 3.18/0.89 # Non-unit clause-clause subsumptions : 597
% 3.18/0.89 # Unit Clause-clause subsumption calls : 3482
% 3.18/0.89 # Rewrite failures with RHS unbound : 0
% 3.18/0.89 # BW rewrite match attempts : 43
% 3.18/0.89 # BW rewrite match successes : 37
% 3.18/0.89 # Condensation attempts : 0
% 3.18/0.89 # Condensation successes : 0
% 3.18/0.89 # Termbank termtop insertions : 238807
% 3.18/0.89 # Search garbage collected termcells : 2053
% 3.18/0.89
% 3.18/0.89 # -------------------------------------------------
% 3.18/0.89 # User time : 0.384 s
% 3.18/0.89 # System time : 0.014 s
% 3.18/0.89 # Total time : 0.398 s
% 3.18/0.89 # Maximum resident set size: 2328 pages
% 3.18/0.89
% 3.18/0.89 # -------------------------------------------------
% 3.18/0.89 # User time : 1.904 s
% 3.18/0.89 # System time : 0.054 s
% 3.18/0.89 # Total time : 1.958 s
% 3.18/0.89 # Maximum resident set size: 1832 pages
% 3.18/0.89 % E---3.1 exiting
% 3.18/0.89 % E exiting
%------------------------------------------------------------------------------