%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEG019^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 07:49:27 AM UTC 2026
% Result : Theorem 3.65s 0.88s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 24
% Syntax : Number of formulae : 275 ( 101 unt; 0 typ; 13 def)
% Number of atoms : 2396 ( 381 equ; 0 cnn)
% Maximal formula atoms : 7 ( 8 avg)
% Number of connectives : 4675 ( 241 ~; 359 |; 247 &;3115 @)
% ( 13 <=>; 313 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 102 ( 97 usr; 29 con; 0-4 aty)
% ( 280 !!; 107 ??; 0 @@+; 0 @@-)
% Number of variables : 828 ( 17 sgn 174 !; 6 ?; 828 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
reg: $tType ).
thf(func_def_0,type,
meq_ind: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_11,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_12,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_13,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_14,type,
mtrue: $i > $o ).
thf(func_def_15,type,
mfalse: $i > $o ).
thf(func_def_16,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_18,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_19,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_29,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
c: reg > reg > $o ).
thf(func_def_33,type,
dc: reg > reg > $o ).
thf(func_def_34,type,
p: reg > reg > $o ).
thf(func_def_35,type,
eq: reg > reg > $o ).
thf(func_def_36,type,
o: reg > reg > $o ).
thf(func_def_37,type,
po: reg > reg > $o ).
thf(func_def_38,type,
ec: reg > reg > $o ).
thf(func_def_39,type,
pp: reg > reg > $o ).
thf(func_def_40,type,
tpp: reg > reg > $o ).
thf(func_def_41,type,
ntpp: reg > reg > $o ).
thf(func_def_42,type,
catalunya: reg ).
thf(func_def_43,type,
france: reg ).
thf(func_def_44,type,
spain: reg ).
thf(func_def_45,type,
paris: reg ).
thf(func_def_46,type,
a: $i > $i > $o ).
thf(func_def_47,type,
fool: $i > $i > $o ).
thf(func_def_48,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_49,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_50,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_51,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_52,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_53,type,
vAND: $o > $o > $o ).
thf(func_def_54,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_57,type,
vNOT: $o > $o ).
thf(func_def_58,type,
vIMP: $o > $o > $o ).
thf(func_def_59,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_60,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_61,type,
vOR: $o > $o > $o ).
thf(func_def_62,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_63,type,
sK0: reg ).
thf(func_def_64,type,
sK1: reg ).
thf(func_def_65,type,
sK2: reg > reg ).
thf(func_def_66,type,
sK3: reg > reg ).
thf(func_def_67,type,
sK4: reg > reg ).
thf(func_def_68,type,
sK5: reg > reg ).
thf(func_def_69,type,
sK6: $i > ( $i > $o ) > $i ).
thf(func_def_70,type,
sK7: $i > ( $i > $o ) > $i ).
thf(func_def_71,type,
sK8: $i > ( $i > $o ) > $i ).
thf(func_def_72,type,
sK9: reg > reg ).
thf(func_def_73,type,
sK10: reg > reg ).
thf(func_def_74,type,
sK11: reg > reg ).
thf(func_def_75,type,
sK12: reg > reg ).
thf(func_def_76,type,
sK13: reg ).
thf(func_def_79,type,
sK16: reg ).
thf(func_def_80,type,
sK17: reg ).
thf(func_def_81,type,
sK18: reg ).
thf(func_def_82,type,
sK19: reg > reg ).
thf(func_def_83,type,
sK20: reg > reg ).
thf(func_def_84,type,
sK21: reg > reg ).
thf(func_def_85,type,
sK22: reg > reg ).
thf(f16,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f35,axiom,
( ( ^ [X0: reg,X1: reg] :
! [X2: reg] :
( ( c @ X2 @ X0 )
=> ( c @ X2 @ X1 ) ) )
= p ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',p) ).
thf(f37,axiom,
( o
= ( ^ [X0: reg,X1: reg] :
? [X2: reg] :
( ( p @ X2 @ X0 )
& ( p @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',o) ).
thf(f39,axiom,
( ( ^ [X0: reg,X1: reg] :
( ~ ( o @ X0 @ X1 )
& ( c @ X0 @ X1 ) ) )
= ec ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',ec) ).
thf(f40,axiom,
( ( ^ [X0: reg,X1: reg] :
( ~ ( p @ X1 @ X0 )
& ( p @ X0 @ X1 ) ) )
= pp ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',pp) ).
thf(f41,axiom,
( ( ^ [X0: reg,X1: reg] :
( ? [X2: reg] :
( ( ec @ X2 @ X1 )
& ( ec @ X2 @ X0 ) )
& ( pp @ X0 @ X1 ) ) )
= tpp ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',tpp) ).
thf(f42,axiom,
( ( ^ [X0: reg,X1: reg] :
( ( pp @ X0 @ X1 )
& ~ ? [X2: reg] :
( ( ec @ X2 @ X1 )
& ( ec @ X2 @ X0 ) ) ) )
= ntpp ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',ntpp) ).
thf(f46,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X0: $i] : ( tpp @ catalunya @ spain ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(f48,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X0: $i] : ( ntpp @ paris @ france ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(f49,conjecture,
( mvalid
@ ( mbox @ a
@ ^ [X0: $i] :
! [X1: reg] :
( ( ( o @ X1 @ catalunya )
& ( o @ X1 @ paris ) )
=> ( ( o @ X1 @ france )
& ( o @ X1 @ spain ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f50,negated_conjecture,
~ ( mvalid
@ ( mbox @ a
@ ^ [X0: $i] :
! [X1: reg] :
( ( ( o @ X1 @ catalunya )
& ( o @ X1 @ paris ) )
=> ( ( o @ X1 @ france )
& ( o @ X1 @ spain ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
thf(f53,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f54,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f53]) ).
thf(f55,plain,
( o
= ( ^ [X0: reg,X1: reg] :
? [X2: reg] :
( ( p @ X2 @ X0 )
& ( p @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f37]) ).
thf(f56,plain,
( o
= ( ^ [Y0: reg,Y1: reg] :
( ?? @ reg
@ ^ [Y2: reg] :
( ( p @ Y2 @ Y1 )
& ( p @ Y2 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f55]) ).
thf(f63,plain,
( mvalid
@ ( mbox @ a
@ ^ [X0: $i] : ( tpp @ catalunya @ spain ) ) ),
inference(rectify,[],[f46]) ).
thf(f64,plain,
( $true
= ( mvalid
@ ( mbox @ a
@ ^ [Y0: $i] : ( tpp @ catalunya @ spain ) ) ) ),
inference(fool_elimination,[],[f63]) ).
thf(f78,plain,
( ( ^ [X0: reg,X1: reg] :
( ~ ( p @ X1 @ X0 )
& ( p @ X0 @ X1 ) ) )
= pp ),
inference(rectify,[],[f40]) ).
thf(f79,plain,
( pp
= ( ^ [Y0: reg,Y1: reg] :
( ( p @ Y0 @ Y1 )
& ~ ( p @ Y1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f78]) ).
thf(f85,plain,
( ( ^ [X0: reg,X1: reg] :
( ( pp @ X0 @ X1 )
& ~ ? [X2: reg] :
( ( ec @ X2 @ X1 )
& ( ec @ X2 @ X0 ) ) ) )
= ntpp ),
inference(rectify,[],[f42]) ).
thf(f86,plain,
( ntpp
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y0 )
& ( ec @ Y2 @ Y1 ) ) )
& ( pp @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f85]) ).
thf(f93,plain,
( ( ^ [X0: reg,X1: reg] :
( ? [X2: reg] :
( ( ec @ X2 @ X1 )
& ( ec @ X2 @ X0 ) )
& ( pp @ X0 @ X1 ) ) )
= tpp ),
inference(rectify,[],[f41]) ).
thf(f94,plain,
( tpp
= ( ^ [Y0: reg,Y1: reg] :
( ( pp @ Y0 @ Y1 )
& ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y0 )
& ( ec @ Y2 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f93]) ).
thf(f111,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f112,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f111]) ).
thf(f114,plain,
( mvalid
@ ( mbox @ a
@ ^ [X0: $i] : ( ntpp @ paris @ france ) ) ),
inference(rectify,[],[f48]) ).
thf(f115,plain,
( $true
= ( mvalid
@ ( mbox @ a
@ ^ [Y0: $i] : ( ntpp @ paris @ france ) ) ) ),
inference(fool_elimination,[],[f114]) ).
thf(f124,plain,
~ ( mvalid
@ ( mbox @ a
@ ^ [X0: $i] :
! [X1: reg] :
( ( ( o @ X1 @ catalunya )
& ( o @ X1 @ paris ) )
=> ( ( o @ X1 @ france )
& ( o @ X1 @ spain ) ) ) ) ),
inference(rectify,[],[f50]) ).
thf(f125,plain,
( $true
!= ( mvalid
@ ( mbox @ a
@ ^ [Y0: $i] :
( !! @ reg
@ ^ [Y1: reg] :
( ( ( o @ Y1 @ paris )
& ( o @ Y1 @ catalunya ) )
=> ( ( o @ Y1 @ spain )
& ( o @ Y1 @ france ) ) ) ) ) ) ),
inference(fool_elimination,[],[f124]) ).
thf(f128,plain,
( ( ^ [X0: reg,X1: reg] :
! [X2: reg] :
( ( c @ X2 @ X0 )
=> ( c @ X2 @ X1 ) ) )
= p ),
inference(rectify,[],[f35]) ).
thf(f129,plain,
( p
= ( ^ [Y0: reg,Y1: reg] :
( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y0 )
=> ( c @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f128]) ).
thf(f136,plain,
( ( ^ [X0: reg,X1: reg] :
( ~ ( o @ X0 @ X1 )
& ( c @ X0 @ X1 ) ) )
= ec ),
inference(rectify,[],[f39]) ).
thf(f137,plain,
( ec
= ( ^ [Y0: reg,Y1: reg] :
( ( c @ Y0 @ Y1 )
& ~ ( o @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f136]) ).
thf(f138,plain,
( $true
!= ( mvalid
@ ( mbox @ a
@ ^ [Y0: $i] :
( !! @ reg
@ ^ [Y1: reg] :
( ( ( o @ Y1 @ paris )
& ( o @ Y1 @ catalunya ) )
=> ( ( o @ Y1 @ spain )
& ( o @ Y1 @ france ) ) ) ) ) ) ),
inference(flattening,[],[f125]) ).
thf(f143,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f112]) ).
thf(f147,plain,
( ec
= ( ^ [Y0: reg,Y1: reg] :
( ( c @ Y0 @ Y1 )
& ~ ( o @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f137]) ).
thf(f148,plain,
( ntpp
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y0 )
& ( ec @ Y2 @ Y1 ) ) )
& ( pp @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f86]) ).
thf(f149,plain,
( $true
!= ( mvalid
@ ( mbox @ a
@ ^ [Y0: $i] :
( !! @ reg
@ ^ [Y1: reg] :
( ( ( o @ Y1 @ paris )
& ( o @ Y1 @ catalunya ) )
=> ( ( o @ Y1 @ spain )
& ( o @ Y1 @ france ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f138]) ).
thf(f151,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f54]) ).
thf(f152,plain,
( tpp
= ( ^ [Y0: reg,Y1: reg] :
( ( pp @ Y0 @ Y1 )
& ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y0 )
& ( ec @ Y2 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f94]) ).
thf(f154,plain,
( pp
= ( ^ [Y0: reg,Y1: reg] :
( ( p @ Y0 @ Y1 )
& ~ ( p @ Y1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f79]) ).
thf(f157,plain,
( o
= ( ^ [Y0: reg,Y1: reg] :
( ?? @ reg
@ ^ [Y2: reg] :
( ( p @ Y2 @ Y1 )
& ( p @ Y2 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f56]) ).
thf(f158,plain,
( p
= ( ^ [Y0: reg,Y1: reg] :
( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y0 )
=> ( c @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f129]) ).
thf(f160,plain,
( $true
= ( mvalid
@ ( mbox @ a
@ ^ [Y0: $i] : ( tpp @ catalunya @ spain ) ) ) ),
inference(cnf_transformation,[],[f64]) ).
thf(f161,plain,
( $true
= ( mvalid
@ ( mbox @ a
@ ^ [Y0: $i] : ( ntpp @ paris @ france ) ) ) ),
inference(cnf_transformation,[],[f115]) ).
thf(f167,plain,
( o
= ( ^ [Y0: reg,Y1: reg] :
( ?? @ reg
@ ^ [Y2: reg] :
( ( ^ [Y3: reg,Y4: reg] :
( !! @ reg
@ ^ [Y5: reg] :
( ( c @ Y5 @ Y3 )
=> ( c @ Y5 @ Y4 ) ) )
@ Y2
@ Y1 )
& ( ^ [Y3: reg,Y4: reg] :
( !! @ reg
@ ^ [Y5: reg] :
( ( c @ Y5 @ Y3 )
=> ( c @ Y5 @ Y4 ) ) )
@ Y2
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f157,f158,f158]) ).
thf(f169,plain,
( ec
= ( ^ [Y0: reg,Y1: reg] :
( ( c @ Y0 @ Y1 )
& ~ ( ^ [Y2: reg,Y3: reg] :
( ?? @ reg
@ ^ [Y4: reg] :
( ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y3 )
& ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y2 ) ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f147,f167]) ).
thf(f170,plain,
( pp
= ( ^ [Y0: reg,Y1: reg] :
( ( ^ [Y2: reg,Y3: reg] :
( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y2 )
=> ( c @ Y4 @ Y3 ) ) )
@ Y0
@ Y1 )
& ~ ( ^ [Y2: reg,Y3: reg] :
( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y2 )
=> ( c @ Y4 @ Y3 ) ) )
@ Y1
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f154,f158,f158]) ).
thf(f171,plain,
( tpp
= ( ^ [Y0: reg,Y1: reg] :
( ( ^ [Y2: reg,Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y2
@ Y3 )
& ~ ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 ) )
@ Y0
@ Y1 )
& ( ?? @ reg
@ ^ [Y2: reg] :
( ( ^ [Y3: reg,Y4: reg] :
( ( c @ Y3 @ Y4 )
& ~ ( ^ [Y5: reg,Y6: reg] :
( ?? @ reg
@ ^ [Y7: reg] :
( ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y6 )
& ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y5 ) ) )
@ Y3
@ Y4 ) )
@ Y2
@ Y0 )
& ( ^ [Y3: reg,Y4: reg] :
( ( c @ Y3 @ Y4 )
& ~ ( ^ [Y5: reg,Y6: reg] :
( ?? @ reg
@ ^ [Y7: reg] :
( ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y6 )
& ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y5 ) ) )
@ Y3
@ Y4 ) )
@ Y2
@ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f152,f170,f169,f169]) ).
thf(f172,plain,
( ntpp
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( ^ [Y3: reg,Y4: reg] :
( ( c @ Y3 @ Y4 )
& ~ ( ^ [Y5: reg,Y6: reg] :
( ?? @ reg
@ ^ [Y7: reg] :
( ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y6 )
& ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y5 ) ) )
@ Y3
@ Y4 ) )
@ Y2
@ Y0 )
& ( ^ [Y3: reg,Y4: reg] :
( ( c @ Y3 @ Y4 )
& ~ ( ^ [Y5: reg,Y6: reg] :
( ?? @ reg
@ ^ [Y7: reg] :
( ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y6 )
& ( ^ [Y8: reg,Y9: reg] :
( !! @ reg
@ ^ [Y10: reg] :
( ( c @ Y10 @ Y8 )
=> ( c @ Y10 @ Y9 ) ) )
@ Y7
@ Y5 ) ) )
@ Y3
@ Y4 ) )
@ Y2
@ Y1 ) ) )
& ( ^ [Y2: reg,Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y2
@ Y3 )
& ~ ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f148,f169,f169,f170]) ).
thf(f178,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) )
@ a
@ ^ [Y0: $i] :
( !! @ reg
@ ^ [Y1: reg] :
( ( ( ^ [Y2: reg,Y3: reg] :
( ?? @ reg
@ ^ [Y4: reg] :
( ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y3 )
& ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y2 ) ) )
@ Y1
@ paris )
& ( ^ [Y2: reg,Y3: reg] :
( ?? @ reg
@ ^ [Y4: reg] :
( ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y3 )
& ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y2 ) ) )
@ Y1
@ catalunya ) )
=> ( ( ^ [Y2: reg,Y3: reg] :
( ?? @ reg
@ ^ [Y4: reg] :
( ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y3 )
& ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y2 ) ) )
@ Y1
@ spain )
& ( ^ [Y2: reg,Y3: reg] :
( ?? @ reg
@ ^ [Y4: reg] :
( ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y3 )
& ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y2 ) ) )
@ Y1
@ france ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f149,f151,f143,f167,f167,f167,f167]) ).
thf(f181,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) )
@ a
@ ^ [Y0: $i] :
( ^ [Y1: reg,Y2: reg] :
( ( ^ [Y3: reg,Y4: reg] :
( ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y3
@ Y4 )
& ~ ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y3 ) )
@ Y1
@ Y2 )
& ( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( ( c @ Y4 @ Y5 )
& ~ ( ^ [Y6: reg,Y7: reg] :
( ?? @ reg
@ ^ [Y8: reg] :
( ( ^ [Y9: reg,Y10: reg] :
( !! @ reg
@ ^ [Y11: reg] :
( ( c @ Y11 @ Y9 )
=> ( c @ Y11 @ Y10 ) ) )
@ Y8
@ Y7 )
& ( ^ [Y9: reg,Y10: reg] :
( !! @ reg
@ ^ [Y11: reg] :
( ( c @ Y11 @ Y9 )
=> ( c @ Y11 @ Y10 ) ) )
@ Y8
@ Y6 ) ) )
@ Y4
@ Y5 ) )
@ Y3
@ Y1 )
& ( ^ [Y4: reg,Y5: reg] :
( ( c @ Y4 @ Y5 )
& ~ ( ^ [Y6: reg,Y7: reg] :
( ?? @ reg
@ ^ [Y8: reg] :
( ( ^ [Y9: reg,Y10: reg] :
( !! @ reg
@ ^ [Y11: reg] :
( ( c @ Y11 @ Y9 )
=> ( c @ Y11 @ Y10 ) ) )
@ Y8
@ Y7 )
& ( ^ [Y9: reg,Y10: reg] :
( !! @ reg
@ ^ [Y11: reg] :
( ( c @ Y11 @ Y9 )
=> ( c @ Y11 @ Y10 ) ) )
@ Y8
@ Y6 ) ) )
@ Y4
@ Y5 ) )
@ Y3
@ Y2 ) ) ) )
@ catalunya
@ spain ) ) ) ),
inference(definition_unfolding,[],[f160,f151,f143,f171]) ).
thf(f182,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) )
@ a
@ ^ [Y0: $i] :
( ^ [Y1: reg,Y2: reg] :
( ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( ( c @ Y4 @ Y5 )
& ~ ( ^ [Y6: reg,Y7: reg] :
( ?? @ reg
@ ^ [Y8: reg] :
( ( ^ [Y9: reg,Y10: reg] :
( !! @ reg
@ ^ [Y11: reg] :
( ( c @ Y11 @ Y9 )
=> ( c @ Y11 @ Y10 ) ) )
@ Y8
@ Y7 )
& ( ^ [Y9: reg,Y10: reg] :
( !! @ reg
@ ^ [Y11: reg] :
( ( c @ Y11 @ Y9 )
=> ( c @ Y11 @ Y10 ) ) )
@ Y8
@ Y6 ) ) )
@ Y4
@ Y5 ) )
@ Y3
@ Y1 )
& ( ^ [Y4: reg,Y5: reg] :
( ( c @ Y4 @ Y5 )
& ~ ( ^ [Y6: reg,Y7: reg] :
( ?? @ reg
@ ^ [Y8: reg] :
( ( ^ [Y9: reg,Y10: reg] :
( !! @ reg
@ ^ [Y11: reg] :
( ( c @ Y11 @ Y9 )
=> ( c @ Y11 @ Y10 ) ) )
@ Y8
@ Y7 )
& ( ^ [Y9: reg,Y10: reg] :
( !! @ reg
@ ^ [Y11: reg] :
( ( c @ Y11 @ Y9 )
=> ( c @ Y11 @ Y10 ) ) )
@ Y8
@ Y6 ) ) )
@ Y4
@ Y5 ) )
@ Y3
@ Y2 ) ) )
& ( ^ [Y3: reg,Y4: reg] :
( ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y3
@ Y4 )
& ~ ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y4
@ Y3 ) )
@ Y1
@ Y2 ) )
@ paris
@ france ) ) ) ),
inference(definition_unfolding,[],[f161,f151,f143,f172]) ).
thf(f183,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ catalunya )
=> ( c @ Y2 @ spain ) ) )
& ~ ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ spain )
=> ( c @ Y2 @ catalunya ) ) )
& ( ?? @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) )
& ( c @ Y2 @ spain )
& ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ spain ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) ) ) ) )
| ~ ( a @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f181]) ).
thf(f184,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ catalunya )
=> ( c @ Y2 @ spain ) ) )
& ~ ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ spain )
=> ( c @ Y2 @ catalunya ) ) )
& ( ?? @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) )
& ( c @ Y2 @ spain )
& ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ spain ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) ) ) ) )
| ~ ( a @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f183]) ).
thf(f185,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ catalunya )
=> ( c @ Y1 @ spain ) ) )
& ~ ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ spain )
=> ( c @ Y1 @ catalunya ) ) )
& ( ?? @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) )
& ( c @ Y1 @ spain )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ spain ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) ) ) ) )
| ~ ( a @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f184]) ).
thf(f186,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ catalunya )
=> ( c @ Y1 @ spain ) ) )
& ~ ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ spain )
=> ( c @ Y1 @ catalunya ) ) )
& ( ?? @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) )
& ( c @ Y1 @ spain )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ spain ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) ) ) ) )
| ~ ( a @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f185]) ).
thf(f187,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) )
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
=> ( c @ Y0 @ catalunya ) ) )
& ( ?? @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( c @ Y0 @ spain )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ spain ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) ) ) )
| ~ ( a @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f186]) ).
thf(f188,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ~ ( a @ X1 @ X2 ) ) )
| ( $true
= ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) )
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
=> ( c @ Y0 @ catalunya ) ) )
& ( ?? @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( c @ Y0 @ spain )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ spain ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f187]) ).
thf(f189,plain,
! [X2: $i,X1: $i] :
( ( ( a @ X1 @ X2 )
= $false )
| ( $true
= ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) )
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
=> ( c @ Y0 @ catalunya ) ) )
& ( ?? @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( c @ Y0 @ spain )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ spain ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f188]) ).
thf(f191,plain,
! [X2: $i,X1: $i] :
( ( ( a @ X1 @ X2 )
= $false )
| ( $true
= ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) )
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
=> ( c @ Y0 @ catalunya ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f189]) ).
thf(f193,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) ) )
| ( ( a @ X1 @ X2 )
= $false ) ),
inference(and_proxy_clausification,[],[f191]) ).
thf(f194,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) )
@ X3 ) )
| ( ( a @ X1 @ X2 )
= $false ) ),
inference(pi_proxy_clausification,[],[f193]) ).
thf(f195,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( $true
= ( ( c @ X3 @ catalunya )
=> ( c @ X3 @ spain ) ) )
| ( ( a @ X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f194]) ).
thf(f196,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( ( c @ X3 @ catalunya )
= $false )
| ( ( a @ X1 @ X2 )
= $false )
| ( $true
= ( c @ X3 @ spain ) ) ),
inference(imp_proxy_clausification,[],[f195]) ).
thf(f310,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ paris )
& ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ paris ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) )
& ( c @ Y2 @ france )
& ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ france ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ paris )
=> ( c @ Y2 @ france ) ) )
& ~ ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ france )
=> ( c @ Y2 @ paris ) ) ) )
| ~ ( a @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f182]) ).
thf(f311,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ paris )
& ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ paris ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) )
& ( c @ Y2 @ france )
& ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ france ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ paris )
=> ( c @ Y2 @ france ) ) )
& ~ ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ france )
=> ( c @ Y2 @ paris ) ) ) )
| ~ ( a @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f310]) ).
thf(f312,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ paris )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ paris ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) )
& ( c @ Y1 @ france )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ france ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ paris )
=> ( c @ Y1 @ france ) ) )
& ~ ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ france )
=> ( c @ Y1 @ paris ) ) ) )
| ~ ( a @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f311]) ).
thf(f313,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ paris )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ paris ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) )
& ( c @ Y1 @ france )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ france ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ paris )
=> ( c @ Y1 @ france ) ) )
& ~ ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ france )
=> ( c @ Y1 @ paris ) ) ) )
| ~ ( a @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f312]) ).
thf(f314,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ paris ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( c @ Y0 @ france )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ france ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) )
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ france )
=> ( c @ Y0 @ paris ) ) ) )
| ~ ( a @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f313]) ).
thf(f315,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ~ ( a @ X1 @ X2 ) ) )
| ( $true
= ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ paris ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( c @ Y0 @ france )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ france ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) )
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ france )
=> ( c @ Y0 @ paris ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f314]) ).
thf(f316,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ paris ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( c @ Y0 @ france )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ france ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) )
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ france )
=> ( c @ Y0 @ paris ) ) ) ) )
| ( ( a @ X1 @ X2 )
= $false ) ),
inference(not_proxy_clausification,[],[f315]) ).
thf(f317,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) )
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ france )
=> ( c @ Y0 @ paris ) ) ) ) )
| ( ( a @ X1 @ X2 )
= $false ) ),
inference(and_proxy_clausification,[],[f316]) ).
thf(f357,plain,
! [X2: $i,X1: $i] :
( ( ( a @ X1 @ X2 )
= $false )
| ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) ) ) ),
inference(and_proxy_clausification,[],[f317]) ).
thf(f358,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( ( a @ X1 @ X2 )
= $false )
| ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f357]) ).
thf(f359,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( $true
= ( ( c @ X3 @ paris )
=> ( c @ X3 @ france ) ) )
| ( ( a @ X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f358]) ).
thf(f360,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( $true
= ( c @ X3 @ france ) )
| ( ( c @ X3 @ paris )
= $false )
| ( ( a @ X1 @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f359]) ).
thf(f366,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ paris ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) ) )
=> ( ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ spain ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ france ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) ) ) ) )
| ~ ( a @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f178]) ).
thf(f367,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ paris ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) ) )
=> ( ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ spain ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ france ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) ) ) ) )
| ~ ( a @ Y0 @ Y1 ) ) )
@ sK14 )
= $false ),
inference(sigma_proxy_clausification,[],[f366]) ).
thf(f368,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ paris ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) ) )
=> ( ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ spain ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ france ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) ) ) ) )
| ~ ( a @ sK14 @ Y0 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f367]) ).
thf(f369,plain,
( ( ^ [Y0: $i] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ paris ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) ) )
=> ( ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ spain ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ france ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) ) ) ) )
| ~ ( a @ sK14 @ Y0 ) )
@ sK15 )
= $false ),
inference(sigma_proxy_clausification,[],[f368]) ).
thf(f370,plain,
( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ paris ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) )
=> ( ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ spain ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ france ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) ) ) )
| ~ ( a @ sK14 @ sK15 ) )
= $false ),
inference(beta-eta_normalization,[],[f369]) ).
thf(f371,plain,
( ( ~ ( a @ sK14 @ sK15 ) )
= $false ),
inference(or_proxy_clausification,[],[f370]) ).
thf(f372,plain,
( ( !! @ reg
@ ^ [Y0: reg] :
( ( ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ paris ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) )
=> ( ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ spain ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ france ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f370]) ).
thf(f373,plain,
( ( ^ [Y0: reg] :
( ( ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ paris ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) )
=> ( ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ spain ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ france ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) ) )
@ sK16 )
= $false ),
inference(sigma_proxy_clausification,[],[f372]) ).
thf(f374,plain,
( ( ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) ) )
=> ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f373]) ).
thf(f375,plain,
( ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f374]) ).
thf(f376,plain,
( $true
= ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) )
& ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f374]) ).
thf(f377,plain,
( $true
= ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f376]) ).
thf(f378,plain,
( $true
= ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f376]) ).
thf(f379,plain,
( $true
= ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) )
@ sK17 ) ),
inference(sigma_proxy_clausification,[],[f378]) ).
thf(f380,plain,
( $true
= ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK17 )
=> ( c @ Y0 @ paris ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK17 )
=> ( c @ Y0 @ sK16 ) ) ) ) ),
inference(beta-eta_normalization,[],[f379]) ).
thf(f381,plain,
( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK17 )
=> ( c @ Y0 @ sK16 ) ) ) ),
inference(and_proxy_clausification,[],[f380]) ).
thf(f382,plain,
( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK17 )
=> ( c @ Y0 @ paris ) ) ) ),
inference(and_proxy_clausification,[],[f380]) ).
thf(f383,plain,
! [X1: reg] :
( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ sK17 )
=> ( c @ Y0 @ paris ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f382]) ).
thf(f384,plain,
! [X1: reg] :
( $true
= ( ( c @ X1 @ sK17 )
=> ( c @ X1 @ paris ) ) ),
inference(beta-eta_normalization,[],[f383]) ).
thf(f385,plain,
! [X1: reg] :
( ( $true
= ( c @ X1 @ paris ) )
| ( ( c @ X1 @ sK17 )
= $false ) ),
inference(imp_proxy_clausification,[],[f384]) ).
thf(f386,plain,
! [X1: reg] :
( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ sK17 )
=> ( c @ Y0 @ sK16 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f381]) ).
thf(f387,plain,
! [X1: reg] :
( $true
= ( ( c @ X1 @ sK17 )
=> ( c @ X1 @ sK16 ) ) ),
inference(beta-eta_normalization,[],[f386]) ).
thf(f388,plain,
! [X1: reg] :
( ( $true
= ( c @ X1 @ sK16 ) )
| ( ( c @ X1 @ sK17 )
= $false ) ),
inference(imp_proxy_clausification,[],[f387]) ).
thf(f389,plain,
( $true
= ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) )
@ sK18 ) ),
inference(sigma_proxy_clausification,[],[f377]) ).
thf(f390,plain,
( $true
= ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK18 )
=> ( c @ Y0 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK18 )
=> ( c @ Y0 @ sK16 ) ) ) ) ),
inference(beta-eta_normalization,[],[f389]) ).
thf(f391,plain,
( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK18 )
=> ( c @ Y0 @ sK16 ) ) ) ),
inference(and_proxy_clausification,[],[f390]) ).
thf(f392,plain,
( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK18 )
=> ( c @ Y0 @ catalunya ) ) ) ),
inference(and_proxy_clausification,[],[f390]) ).
thf(f393,plain,
! [X1: reg] :
( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ sK18 )
=> ( c @ Y0 @ catalunya ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f392]) ).
thf(f394,plain,
! [X1: reg] :
( ( ( c @ X1 @ sK18 )
=> ( c @ X1 @ catalunya ) )
= $true ),
inference(beta-eta_normalization,[],[f393]) ).
thf(f395,plain,
! [X1: reg] :
( ( $true
= ( c @ X1 @ catalunya ) )
| ( $false
= ( c @ X1 @ sK18 ) ) ),
inference(imp_proxy_clausification,[],[f394]) ).
thf(f396,plain,
! [X1: reg] :
( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ sK18 )
=> ( c @ Y0 @ sK16 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f391]) ).
thf(f397,plain,
! [X1: reg] :
( $true
= ( ( c @ X1 @ sK18 )
=> ( c @ X1 @ sK16 ) ) ),
inference(beta-eta_normalization,[],[f396]) ).
thf(f398,plain,
! [X1: reg] :
( ( $true
= ( c @ X1 @ sK16 ) )
| ( $false
= ( c @ X1 @ sK18 ) ) ),
inference(imp_proxy_clausification,[],[f397]) ).
thf(f399,plain,
( ( $false
= ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) ) )
| ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) )
= $false ) ),
inference(and_proxy_clausification,[],[f375]) ).
thf(f400,plain,
! [X1: reg] :
( ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) ) )
= $false )
| ( ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) )
@ X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f399]) ).
thf(f401,plain,
! [X2: reg,X1: reg] :
( ( ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) )
@ X1 )
= $false )
| ( $false
= ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK16 ) ) ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f400]) ).
thf(f402,plain,
! [X2: reg,X1: reg] :
( ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ spain ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK16 ) ) ) )
= $false )
| ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ france ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ sK16 ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f401]) ).
thf(f403,plain,
! [X2: reg,X1: reg] :
( ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ france ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ sK16 ) ) ) )
= $false )
| ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK16 ) ) )
= $false )
| ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ spain ) ) )
= $false ) ),
inference(and_proxy_clausification,[],[f402]) ).
thf(f404,plain,
! [X2: reg,X1: reg] :
( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ spain ) ) )
= $false )
| ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK16 ) ) )
= $false )
| ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ france ) ) )
= $false )
| ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ sK16 ) ) )
= $false ) ),
inference(and_proxy_clausification,[],[f403]) ).
thf(f405,plain,
! [X2: reg,X1: reg] :
( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ france ) ) )
= $false )
| ( ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ spain ) )
@ ( sK19 @ X1 ) )
= $false )
| ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK16 ) ) )
= $false )
| ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ sK16 ) ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f404]) ).
thf(f406,plain,
! [X2: reg,X1: reg] :
( ( ( ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ france ) )
@ ( sK20 @ X2 ) )
= $false )
| ( ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ spain ) )
@ ( sK19 @ X1 ) )
= $false )
| ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ sK16 ) ) )
= $false )
| ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK16 ) ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f405]) ).
thf(f407,plain,
! [X2: reg,X1: reg] :
( ( ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ spain ) )
@ ( sK19 @ X1 ) )
= $false )
| ( ( ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ sK16 ) )
@ ( sK21 @ X2 ) )
= $false )
| ( ( ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ france ) )
@ ( sK20 @ X2 ) )
= $false )
| ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK16 ) ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f406]) ).
thf(f408,plain,
! [X2: reg,X1: reg] :
( ( ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ spain ) )
@ ( sK19 @ X1 ) )
= $false )
| ( ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK16 ) )
@ ( sK22 @ X1 ) )
= $false )
| ( ( ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ france ) )
@ ( sK20 @ X2 ) )
= $false )
| ( ( ^ [Y0: reg] :
( ( c @ Y0 @ X2 )
=> ( c @ Y0 @ sK16 ) )
@ ( sK21 @ X2 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f407]) ).
thf(f409,plain,
! [X2: reg,X1: reg] :
( ( ( ( c @ ( sK19 @ X1 ) @ X1 )
=> ( c @ ( sK19 @ X1 ) @ spain ) )
= $false )
| ( ( ( c @ ( sK20 @ X2 ) @ X2 )
=> ( c @ ( sK20 @ X2 ) @ france ) )
= $false )
| ( ( ( c @ ( sK22 @ X1 ) @ X1 )
=> ( c @ ( sK22 @ X1 ) @ sK16 ) )
= $false )
| ( ( ( c @ ( sK21 @ X2 ) @ X2 )
=> ( c @ ( sK21 @ X2 ) @ sK16 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f408]) ).
thf(f410,plain,
! [X2: reg,X1: reg] :
( ( ( ( c @ ( sK20 @ X2 ) @ X2 )
=> ( c @ ( sK20 @ X2 ) @ france ) )
= $false )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false )
| ( ( ( c @ ( sK21 @ X2 ) @ X2 )
=> ( c @ ( sK21 @ X2 ) @ sK16 ) )
= $false )
| ( ( ( c @ ( sK22 @ X1 ) @ X1 )
=> ( c @ ( sK22 @ X1 ) @ sK16 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f409]) ).
thf(f411,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( ( ( c @ ( sK20 @ X2 ) @ X2 )
=> ( c @ ( sK20 @ X2 ) @ france ) )
= $false )
| ( ( ( c @ ( sK22 @ X1 ) @ X1 )
=> ( c @ ( sK22 @ X1 ) @ sK16 ) )
= $false )
| ( ( ( c @ ( sK21 @ X2 ) @ X2 )
=> ( c @ ( sK21 @ X2 ) @ sK16 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f409]) ).
thf(f412,plain,
! [X2: reg,X1: reg] :
( ( ( ( c @ ( sK21 @ X2 ) @ X2 )
=> ( c @ ( sK21 @ X2 ) @ sK16 ) )
= $false )
| ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( ( ( c @ ( sK22 @ X1 ) @ X1 )
=> ( c @ ( sK22 @ X1 ) @ sK16 ) )
= $false )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false ) ),
inference(imp_proxy_clausification,[],[f411]) ).
thf(f413,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) )
| ( ( ( c @ ( sK21 @ X2 ) @ X2 )
=> ( c @ ( sK21 @ X2 ) @ sK16 ) )
= $false )
| ( ( ( c @ ( sK22 @ X1 ) @ X1 )
=> ( c @ ( sK22 @ X1 ) @ sK16 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f411]) ).
thf(f414,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false )
| ( ( ( c @ ( sK22 @ X1 ) @ X1 )
=> ( c @ ( sK22 @ X1 ) @ sK16 ) )
= $false )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f413]) ).
thf(f415,plain,
! [X2: reg,X1: reg] :
( ( ( ( c @ ( sK22 @ X1 ) @ X1 )
=> ( c @ ( sK22 @ X1 ) @ sK16 ) )
= $false )
| ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f413]) ).
thf(f416,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) )
| ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) )
| ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f415]) ).
thf(f417,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) )
| ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) )
| ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f415]) ).
thf(f418,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) )
| ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false ) ),
inference(imp_proxy_clausification,[],[f414]) ).
thf(f419,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false )
| ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f414]) ).
thf(f420,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false )
| ( ( ( c @ ( sK22 @ X1 ) @ X1 )
=> ( c @ ( sK22 @ X1 ) @ sK16 ) )
= $false )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f412]) ).
thf(f421,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( ( ( c @ ( sK22 @ X1 ) @ X1 )
=> ( c @ ( sK22 @ X1 ) @ sK16 ) )
= $false )
| ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) )
| ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f412]) ).
thf(f422,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f421]) ).
thf(f423,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) )
| ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f421]) ).
thf(f424,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false )
| ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false ) ),
inference(imp_proxy_clausification,[],[f420]) ).
thf(f425,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false )
| ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f420]) ).
thf(f426,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK19 @ X1 ) @ spain )
= $false )
| ( ( ( c @ ( sK22 @ X1 ) @ X1 )
=> ( c @ ( sK22 @ X1 ) @ sK16 ) )
= $false )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( ( ( c @ ( sK21 @ X2 ) @ X2 )
=> ( c @ ( sK21 @ X2 ) @ sK16 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f410]) ).
thf(f427,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK19 @ X1 ) @ spain )
= $false )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) )
| ( ( ( c @ ( sK22 @ X1 ) @ X1 )
=> ( c @ ( sK22 @ X1 ) @ sK16 ) )
= $false )
| ( ( ( c @ ( sK21 @ X2 ) @ X2 )
=> ( c @ ( sK21 @ X2 ) @ sK16 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f410]) ).
thf(f428,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false )
| ( ( ( c @ ( sK21 @ X2 ) @ X2 )
=> ( c @ ( sK21 @ X2 ) @ sK16 ) )
= $false )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f427]) ).
thf(f429,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) )
| ( ( ( c @ ( sK21 @ X2 ) @ X2 )
=> ( c @ ( sK21 @ X2 ) @ sK16 ) )
= $false )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false ) ),
inference(imp_proxy_clausification,[],[f427]) ).
thf(f430,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) )
| ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false ) ),
inference(imp_proxy_clausification,[],[f429]) ).
thf(f431,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false ) ),
inference(imp_proxy_clausification,[],[f429]) ).
thf(f432,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) )
| ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false ) ),
inference(imp_proxy_clausification,[],[f428]) ).
thf(f433,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false )
| ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f428]) ).
thf(f434,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false )
| ( ( ( c @ ( sK21 @ X2 ) @ X2 )
=> ( c @ ( sK21 @ X2 ) @ sK16 ) )
= $false )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false ) ),
inference(imp_proxy_clausification,[],[f426]) ).
thf(f435,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK19 @ X1 ) @ spain )
= $false )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) )
| ( ( ( c @ ( sK21 @ X2 ) @ X2 )
=> ( c @ ( sK21 @ X2 ) @ sK16 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f426]) ).
thf(f436,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false ) ),
inference(imp_proxy_clausification,[],[f435]) ).
thf(f437,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK19 @ X1 ) @ spain )
= $false )
| ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false ) ),
inference(imp_proxy_clausification,[],[f435]) ).
thf(f438,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false ) ),
inference(imp_proxy_clausification,[],[f434]) ).
thf(f439,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK19 @ X1 ) @ spain )
= $false )
| ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f434]) ).
thf(f440,plain,
( $true
= ( a @ sK14 @ sK15 ) ),
inference(not_proxy_clausification,[],[f371]) ).
thf(f442,definition,
( spl23_1
<=> ! [X3: reg] :
( ( ( c @ X3 @ catalunya )
= $false )
| ( $true
= ( c @ X3 @ spain ) ) ) ),
introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).
thf(f443,plain,
( ! [X3: reg] :
( ( $true
= ( c @ X3 @ spain ) )
| ( ( c @ X3 @ catalunya )
= $false ) )
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f442]) ).
thf(f445,definition,
( spl23_2
<=> ! [X2: $i,X1: $i] :
( ( a @ X1 @ X2 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition]) ).
thf(f446,plain,
( ! [X2: $i,X1: $i] :
( ( a @ X1 @ X2 )
= $false )
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f445]) ).
thf(f447,plain,
( spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f196,f445,f442]) ).
thf(f541,definition,
( spl23_25
<=> ! [X3: reg] :
( ( $true
= ( c @ X3 @ france ) )
| ( ( c @ X3 @ paris )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl23_25])],[avatar_definition]) ).
thf(f542,plain,
( ! [X3: reg] :
( ( $true
= ( c @ X3 @ france ) )
| ( ( c @ X3 @ paris )
= $false ) )
| ~ spl23_25 ),
inference(avatar_component_clause,[],[f541]) ).
thf(f543,plain,
( spl23_25
| spl23_2 ),
inference(avatar_split_clause,[],[f360,f445,f541]) ).
thf(f555,definition,
( spl23_28
<=> ! [X1: reg] :
( ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl23_28])],[avatar_definition]) ).
thf(f556,plain,
( ! [X1: reg] :
( ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) ) )
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f555]) ).
thf(f558,definition,
( spl23_29
<=> ! [X2: reg] :
( ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) )
| ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl23_29])],[avatar_definition]) ).
thf(f559,plain,
( ! [X2: reg] :
( ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) ) )
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f558]) ).
thf(f560,plain,
( spl23_28
| spl23_29 ),
inference(avatar_split_clause,[],[f417,f558,f555]) ).
thf(f562,definition,
( spl23_30
<=> ! [X1: reg] :
( ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false )
| ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl23_30])],[avatar_definition]) ).
thf(f563,plain,
( ! [X1: reg] :
( ( $true
= ( c @ ( sK19 @ X1 ) @ X1 ) )
| ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false ) )
| ~ spl23_30 ),
inference(avatar_component_clause,[],[f562]) ).
thf(f564,plain,
( spl23_30
| spl23_29 ),
inference(avatar_split_clause,[],[f416,f558,f562]) ).
thf(f566,definition,
( spl23_31
<=> ! [X2: reg] :
( ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false )
| ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl23_31])],[avatar_definition]) ).
thf(f567,plain,
( ! [X2: reg] :
( ( $true
= ( c @ ( sK20 @ X2 ) @ X2 ) )
| ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false ) )
| ~ spl23_31 ),
inference(avatar_component_clause,[],[f566]) ).
thf(f568,plain,
( spl23_31
| spl23_28 ),
inference(avatar_split_clause,[],[f419,f555,f566]) ).
thf(f569,plain,
( spl23_30
| spl23_31 ),
inference(avatar_split_clause,[],[f418,f566,f562]) ).
thf(f571,definition,
( spl23_32
<=> ! [X2: reg] :
( ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl23_32])],[avatar_definition]) ).
thf(f572,plain,
( ! [X2: reg] :
( ( $true
= ( c @ ( sK21 @ X2 ) @ X2 ) )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false ) )
| ~ spl23_32 ),
inference(avatar_component_clause,[],[f571]) ).
thf(f573,plain,
( spl23_28
| spl23_32 ),
inference(avatar_split_clause,[],[f423,f571,f555]) ).
thf(f574,plain,
( spl23_32
| spl23_30 ),
inference(avatar_split_clause,[],[f422,f562,f571]) ).
thf(f576,definition,
( spl23_33
<=> ! [X2: reg] :
( ( ( c @ ( sK20 @ X2 ) @ france )
= $false )
| ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl23_33])],[avatar_definition]) ).
thf(f577,plain,
( ! [X2: reg] :
( ( ( c @ ( sK21 @ X2 ) @ sK16 )
= $false )
| ( ( c @ ( sK20 @ X2 ) @ france )
= $false ) )
| ~ spl23_33 ),
inference(avatar_component_clause,[],[f576]) ).
thf(f578,plain,
( spl23_28
| spl23_33 ),
inference(avatar_split_clause,[],[f425,f576,f555]) ).
thf(f579,plain,
( spl23_33
| spl23_30 ),
inference(avatar_split_clause,[],[f424,f562,f576]) ).
thf(f581,definition,
( spl23_34
<=> ! [X1: reg] :
( ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl23_34])],[avatar_definition]) ).
thf(f582,plain,
( ! [X1: reg] :
( ( $true
= ( c @ ( sK22 @ X1 ) @ X1 ) )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false ) )
| ~ spl23_34 ),
inference(avatar_component_clause,[],[f581]) ).
thf(f583,plain,
( spl23_29
| spl23_34 ),
inference(avatar_split_clause,[],[f431,f581,f558]) ).
thf(f584,plain,
( spl23_31
| spl23_34 ),
inference(avatar_split_clause,[],[f430,f581,f566]) ).
thf(f586,definition,
( spl23_35
<=> ! [X1: reg] :
( ( ( c @ ( sK19 @ X1 ) @ spain )
= $false )
| ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl23_35])],[avatar_definition]) ).
thf(f587,plain,
( ! [X1: reg] :
( ( ( c @ ( sK22 @ X1 ) @ sK16 )
= $false )
| ( ( c @ ( sK19 @ X1 ) @ spain )
= $false ) )
| ~ spl23_35 ),
inference(avatar_component_clause,[],[f586]) ).
thf(f588,plain,
( spl23_35
| spl23_29 ),
inference(avatar_split_clause,[],[f433,f558,f586]) ).
thf(f589,plain,
( spl23_35
| spl23_31 ),
inference(avatar_split_clause,[],[f432,f566,f586]) ).
thf(f590,plain,
( spl23_32
| spl23_34 ),
inference(avatar_split_clause,[],[f437,f581,f571]) ).
thf(f591,plain,
( spl23_33
| spl23_34 ),
inference(avatar_split_clause,[],[f436,f581,f576]) ).
thf(f592,plain,
( spl23_32
| spl23_35 ),
inference(avatar_split_clause,[],[f439,f586,f571]) ).
thf(f593,plain,
( spl23_33
| spl23_35 ),
inference(avatar_split_clause,[],[f438,f586,f576]) ).
thf(f701,plain,
( ( $true = $false )
| ~ spl23_2 ),
inference(superposition,[],[f440,f446]) ).
thf(f704,plain,
( $false
| ~ spl23_2 ),
inference(trivial_inequality_removal,[],[f701]) ).
thf(f705,plain,
~ spl23_2,
inference(avatar_contradiction_clause,[],[f704]) ).
thf(f713,plain,
( ! [X0: reg] :
( ( $true = $false )
| ( ( c @ ( sK21 @ X0 ) @ sK17 )
= $false )
| ( ( c @ ( sK20 @ X0 ) @ france )
= $false ) )
| ~ spl23_33 ),
inference(superposition,[],[f577,f388]) ).
thf(f721,plain,
( ! [X0: reg] :
( ( ( c @ ( sK21 @ X0 ) @ sK17 )
= $false )
| ( ( c @ ( sK20 @ X0 ) @ france )
= $false ) )
| ~ spl23_33 ),
inference(trivial_inequality_removal,[],[f713]) ).
thf(f845,plain,
( ( $true = $false )
| ( ( c @ ( sK20 @ sK17 ) @ france )
= $false )
| ( ( c @ ( sK20 @ sK17 ) @ france )
= $false )
| ~ spl23_32
| ~ spl23_33 ),
inference(superposition,[],[f572,f721]) ).
thf(f849,plain,
( ( $true = $false )
| ( ( c @ ( sK20 @ sK17 ) @ france )
= $false )
| ~ spl23_32
| ~ spl23_33 ),
inference(duplicate_literal_removal,[],[f845]) ).
thf(f850,plain,
( ( ( c @ ( sK20 @ sK17 ) @ france )
= $false )
| ~ spl23_32
| ~ spl23_33 ),
inference(trivial_inequality_removal,[],[f849]) ).
thf(f855,definition,
( spl23_40
<=> ( ( c @ ( sK20 @ sK17 ) @ france )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl23_40])],[avatar_definition]) ).
thf(f857,plain,
( ( ( c @ ( sK20 @ sK17 ) @ france )
= $false )
| ~ spl23_40 ),
inference(avatar_component_clause,[],[f855]) ).
thf(f863,plain,
( spl23_40
| ~ spl23_32
| ~ spl23_33 ),
inference(avatar_split_clause,[],[f850,f576,f571,f855]) ).
thf(f880,plain,
( ( ( c @ ( sK20 @ sK17 ) @ paris )
= $false )
| ( $true = $false )
| ~ spl23_25
| ~ spl23_40 ),
inference(superposition,[],[f857,f542]) ).
thf(f883,plain,
( ( ( c @ ( sK20 @ sK17 ) @ paris )
= $false )
| ~ spl23_25
| ~ spl23_40 ),
inference(trivial_inequality_removal,[],[f880]) ).
thf(f903,plain,
( ( $false
= ( c @ ( sK20 @ sK17 ) @ sK17 ) )
| ( $true = $false )
| ~ spl23_25
| ~ spl23_40 ),
inference(superposition,[],[f883,f385]) ).
thf(f906,plain,
( ( $false
= ( c @ ( sK20 @ sK17 ) @ sK17 ) )
| ~ spl23_25
| ~ spl23_40 ),
inference(trivial_inequality_removal,[],[f903]) ).
thf(f914,plain,
( ( $true = $false )
| ( ( c @ ( sK21 @ sK17 ) @ sK16 )
= $false )
| ~ spl23_25
| ~ spl23_31
| ~ spl23_40 ),
inference(superposition,[],[f567,f906]) ).
thf(f916,plain,
( ( ( c @ ( sK21 @ sK17 ) @ sK16 )
= $false )
| ~ spl23_25
| ~ spl23_31
| ~ spl23_40 ),
inference(trivial_inequality_removal,[],[f914]) ).
thf(f973,plain,
( ( ( c @ ( sK21 @ sK17 ) @ sK17 )
= $false )
| ( $true = $false )
| ~ spl23_25
| ~ spl23_31
| ~ spl23_40 ),
inference(superposition,[],[f916,f388]) ).
thf(f979,plain,
( ( ( c @ ( sK21 @ sK17 ) @ sK17 )
= $false )
| ~ spl23_25
| ~ spl23_31
| ~ spl23_40 ),
inference(trivial_inequality_removal,[],[f973]) ).
thf(f1027,plain,
( ( $true = $false )
| ( $true
= ( c @ ( sK20 @ sK17 ) @ sK17 ) )
| ~ spl23_25
| ~ spl23_29
| ~ spl23_31
| ~ spl23_40 ),
inference(superposition,[],[f979,f559]) ).
thf(f1032,plain,
( ( $true
= ( c @ ( sK20 @ sK17 ) @ sK17 ) )
| ~ spl23_25
| ~ spl23_29
| ~ spl23_31
| ~ spl23_40 ),
inference(trivial_inequality_removal,[],[f1027]) ).
thf(f1038,plain,
( ( $true = $false )
| ~ spl23_25
| ~ spl23_29
| ~ spl23_31
| ~ spl23_40 ),
inference(forward_demodulation,[],[f1032,f906]) ).
thf(f1039,plain,
( $false
| ~ spl23_25
| ~ spl23_29
| ~ spl23_31
| ~ spl23_40 ),
inference(trivial_inequality_removal,[],[f1038]) ).
thf(f1040,plain,
( ~ spl23_25
| ~ spl23_29
| ~ spl23_31
| ~ spl23_40 ),
inference(avatar_contradiction_clause,[],[f1039]) ).
thf(f1094,plain,
( ! [X0: reg] :
( ( $true = $false )
| ( ( c @ ( sK22 @ X0 ) @ sK18 )
= $false )
| ( ( c @ ( sK19 @ X0 ) @ spain )
= $false ) )
| ~ spl23_35 ),
inference(superposition,[],[f398,f587]) ).
thf(f1100,plain,
( ! [X0: reg] :
( ( ( c @ ( sK22 @ X0 ) @ sK18 )
= $false )
| ( ( c @ ( sK19 @ X0 ) @ spain )
= $false ) )
| ~ spl23_35 ),
inference(trivial_inequality_removal,[],[f1094]) ).
thf(f1613,plain,
( ( $false
= ( c @ ( sK19 @ sK18 ) @ spain ) )
| ( $false
= ( c @ ( sK19 @ sK18 ) @ spain ) )
| ( $true = $false )
| ~ spl23_34
| ~ spl23_35 ),
inference(superposition,[],[f582,f1100]) ).
thf(f1619,plain,
( ( $false
= ( c @ ( sK19 @ sK18 ) @ spain ) )
| ( $true = $false )
| ~ spl23_34
| ~ spl23_35 ),
inference(duplicate_literal_removal,[],[f1613]) ).
thf(f1620,plain,
( ( $false
= ( c @ ( sK19 @ sK18 ) @ spain ) )
| ~ spl23_34
| ~ spl23_35 ),
inference(trivial_inequality_removal,[],[f1619]) ).
thf(f1623,definition,
( spl23_56
<=> ( $false
= ( c @ ( sK19 @ sK18 ) @ spain ) ) ),
introduced(definition,[new_symbols(definition,[spl23_56])],[avatar_definition]) ).
thf(f1625,plain,
( ( $false
= ( c @ ( sK19 @ sK18 ) @ spain ) )
| ~ spl23_56 ),
inference(avatar_component_clause,[],[f1623]) ).
thf(f1631,plain,
( spl23_56
| ~ spl23_34
| ~ spl23_35 ),
inference(avatar_split_clause,[],[f1620,f586,f581,f1623]) ).
thf(f1634,plain,
( ( ( c @ ( sK19 @ sK18 ) @ catalunya )
= $false )
| ( $true = $false )
| ~ spl23_1
| ~ spl23_56 ),
inference(superposition,[],[f443,f1625]) ).
thf(f1636,plain,
( ( ( c @ ( sK19 @ sK18 ) @ catalunya )
= $false )
| ~ spl23_1
| ~ spl23_56 ),
inference(trivial_inequality_removal,[],[f1634]) ).
thf(f1675,plain,
( ( ( c @ ( sK19 @ sK18 ) @ sK18 )
= $false )
| ( $true = $false )
| ~ spl23_1
| ~ spl23_56 ),
inference(superposition,[],[f395,f1636]) ).
thf(f1677,plain,
( ( ( c @ ( sK19 @ sK18 ) @ sK18 )
= $false )
| ~ spl23_1
| ~ spl23_56 ),
inference(trivial_inequality_removal,[],[f1675]) ).
thf(f1706,plain,
( ( $true = $false )
| ( ( c @ ( sK22 @ sK18 ) @ sK16 )
= $false )
| ~ spl23_1
| ~ spl23_30
| ~ spl23_56 ),
inference(superposition,[],[f1677,f563]) ).
thf(f1711,plain,
( ( ( c @ ( sK22 @ sK18 ) @ sK16 )
= $false )
| ~ spl23_1
| ~ spl23_30
| ~ spl23_56 ),
inference(trivial_inequality_removal,[],[f1706]) ).
thf(f1757,plain,
( ( $true = $false )
| ( ( c @ ( sK22 @ sK18 ) @ sK18 )
= $false )
| ~ spl23_1
| ~ spl23_30
| ~ spl23_56 ),
inference(superposition,[],[f398,f1711]) ).
thf(f1761,plain,
( ( ( c @ ( sK22 @ sK18 ) @ sK18 )
= $false )
| ~ spl23_1
| ~ spl23_30
| ~ spl23_56 ),
inference(trivial_inequality_removal,[],[f1757]) ).
thf(f1849,plain,
( ( $true = $false )
| ( $true
= ( c @ ( sK19 @ sK18 ) @ sK18 ) )
| ~ spl23_1
| ~ spl23_28
| ~ spl23_30
| ~ spl23_56 ),
inference(superposition,[],[f556,f1761]) ).
thf(f1858,plain,
( ( $true
= ( c @ ( sK19 @ sK18 ) @ sK18 ) )
| ~ spl23_1
| ~ spl23_28
| ~ spl23_30
| ~ spl23_56 ),
inference(trivial_inequality_removal,[],[f1849]) ).
thf(f1862,plain,
( ( $true = $false )
| ~ spl23_1
| ~ spl23_28
| ~ spl23_30
| ~ spl23_56 ),
inference(forward_demodulation,[],[f1858,f1677]) ).
thf(f1863,plain,
( $false
| ~ spl23_1
| ~ spl23_28
| ~ spl23_30
| ~ spl23_56 ),
inference(trivial_inequality_removal,[],[f1862]) ).
thf(f1864,plain,
( ~ spl23_1
| ~ spl23_28
| ~ spl23_30
| ~ spl23_56 ),
inference(avatar_contradiction_clause,[],[f1863]) ).
cnf(s1,plain,
( spl23_1
| spl23_2 ),
inference(sat_conversion,[],[f447]) ).
cnf(s23,plain,
( spl23_2
| spl23_25 ),
inference(sat_conversion,[],[f543]) ).
cnf(s26,plain,
( spl23_28
| spl23_29 ),
inference(sat_conversion,[],[f560]) ).
cnf(s27,plain,
( spl23_29
| spl23_30 ),
inference(sat_conversion,[],[f564]) ).
cnf(s28,plain,
( spl23_28
| spl23_31 ),
inference(sat_conversion,[],[f568]) ).
cnf(s29,plain,
( spl23_30
| spl23_31 ),
inference(sat_conversion,[],[f569]) ).
cnf(s30,plain,
( spl23_28
| spl23_32 ),
inference(sat_conversion,[],[f573]) ).
cnf(s31,plain,
( spl23_30
| spl23_32 ),
inference(sat_conversion,[],[f574]) ).
cnf(s32,plain,
( spl23_28
| spl23_33 ),
inference(sat_conversion,[],[f578]) ).
cnf(s33,plain,
( spl23_30
| spl23_33 ),
inference(sat_conversion,[],[f579]) ).
cnf(s34,plain,
( spl23_29
| spl23_34 ),
inference(sat_conversion,[],[f583]) ).
cnf(s35,plain,
( spl23_31
| spl23_34 ),
inference(sat_conversion,[],[f584]) ).
cnf(s36,plain,
( spl23_29
| spl23_35 ),
inference(sat_conversion,[],[f588]) ).
cnf(s37,plain,
( spl23_31
| spl23_35 ),
inference(sat_conversion,[],[f589]) ).
cnf(s38,plain,
( spl23_32
| spl23_34 ),
inference(sat_conversion,[],[f590]) ).
cnf(s39,plain,
( spl23_33
| spl23_34 ),
inference(sat_conversion,[],[f591]) ).
cnf(s40,plain,
( spl23_32
| spl23_35 ),
inference(sat_conversion,[],[f592]) ).
cnf(s41,plain,
( spl23_33
| spl23_35 ),
inference(sat_conversion,[],[f593]) ).
cnf(s47,plain,
~ spl23_2,
inference(sat_conversion,[],[f705]) ).
cnf(s53,plain,
( ~ spl23_32
| ~ spl23_33
| spl23_40 ),
inference(sat_conversion,[],[f863]) ).
cnf(s57,plain,
( ~ spl23_25
| ~ spl23_29
| ~ spl23_31
| ~ spl23_40 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s79,plain,
( ~ spl23_34
| ~ spl23_35
| spl23_56 ),
inference(sat_conversion,[],[f1631]) ).
cnf(s85,plain,
( ~ spl23_1
| ~ spl23_28
| ~ spl23_30
| ~ spl23_56 ),
inference(sat_conversion,[],[f1864]) ).
cnf(s88,plain,
spl23_25,
inference(rat,[],[s23,s47]) ).
cnf(s110,plain,
spl23_1,
inference(rat,[],[s1,s47]) ).
cnf(s111,plain,
spl23_28,
inference(rat,[],[s57,s53,s26,s28,s30,s32,s88]) ).
cnf(s112,plain,
spl23_29,
inference(rat,[],[s85,s79,s27,s34,s36,s110,s111]) ).
cnf(s113,plain,
( spl23_33
| spl23_56 ),
inference(rat,[],[s79,s39,s41]) ).
cnf(s114,plain,
( spl23_32
| spl23_56 ),
inference(rat,[],[s79,s38,s40]) ).
cnf(s115,plain,
spl23_56,
inference(rat,[],[s79,s35,s37,s57,s53,s114,s113,s88,s112]) ).
cnf(s116,plain,
~ spl23_30,
inference(rat,[],[s85,s111,s110,s115]) ).
cnf(s117,plain,
spl23_33,
inference(rat,[],[s33,s116]) ).
cnf(s118,plain,
spl23_32,
inference(rat,[],[s31,s116]) ).
cnf(s119,plain,
spl23_31,
inference(rat,[],[s29,s116]) ).
cnf(s120,plain,
spl23_40,
inference(rat,[],[s53,s117,s118]) ).
cnf(s122,plain,
$false,
inference(rat,[],[s57,s112,s88,s120,s119]) ).
thf(f1865,plain,
$false,
inference(avatar_sat_refutation,[],[s122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEG019^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n017.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 18:29:37 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.10/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.37 % (722342)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.37 % (722353)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=29230638:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.37 % (722354)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.37 % (722354)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.37 % (722348)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3280237129:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.37 % (722350)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3417893841:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.37 % (722350)Instruction limit reached!
% 0.22/0.37 % (722350)------------------------------
% 0.22/0.37 % (722350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (722350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (722350)CaDiCaL version: 2.1.3
% 0.22/0.37 % (722350)Termination reason: Instruction limit
% 0.22/0.37 % (722350)Termination phase: Property scanning
% 0.22/0.37 % (722350)Time elapsed: 0.002 s
% 0.22/0.37 % (722350)Peak memory usage: 10 MB
% 0.22/0.37 % (722350)Instructions burned: 4 (million)
% 0.22/0.37 % (722354)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2311043858:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.37 % (722349)lrs+10_16_si=on:nwc=1.5:random_seed=1710658059:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.37 % (722351)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1736613144:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.22/0.37 % (722349)Instruction limit reached!
% 0.22/0.37 % (722349)------------------------------
% 0.22/0.37 % (722349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (722349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (722349)CaDiCaL version: 2.1.3
% 0.22/0.37 % (722349)Termination reason: Instruction limit
% 0.22/0.37 % (722349)Termination phase: Saturation
% 0.22/0.37 % (722349)Time elapsed: 0.008 s
% 0.22/0.37 % (722349)Peak memory usage: 11 MB
% 0.22/0.37 % (722349)Instructions burned: 19 (million)
% 0.22/0.37 % (722352)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4154270165:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.37 % (722353)Instruction limit reached!
% 0.22/0.37 % (722353)------------------------------
% 0.22/0.37 % (722353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (722353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (722353)CaDiCaL version: 2.1.3
% 0.22/0.37 % (722353)Termination reason: Instruction limit
% 0.22/0.37 % (722353)Termination phase: Saturation
% 0.22/0.37 % (722353)Time elapsed: 0.021 s
% 0.22/0.37 % (722353)Peak memory usage: 13 MB
% 0.22/0.37 % (722353)Instructions burned: 77 (million)
% 0.22/0.37 % (722359)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=256696491:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.37 % (722364)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.37 % (722359)Instruction limit reached!
% 0.22/0.37 % (722359)------------------------------
% 0.22/0.37 % (722359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (722359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (722359)CaDiCaL version: 2.1.3
% 0.22/0.37 % (722359)Termination reason: Instruction limit
% 0.22/0.37 % (722359)Termination phase: shuffling
% 0.22/0.37 % (722359)Time elapsed: 0.001 s
% 0.22/0.37 % (722359)Peak memory usage: 9 MB
% 0.22/0.37 % (722359)Instructions burned: 2 (million)
% 0.22/0.37 % (722364)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1648531634:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.96/0.41 % (722364)Instruction limit reached!
% 0.96/0.41 % (722364)------------------------------
% 0.96/0.41 % (722364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (722364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (722364)CaDiCaL version: 2.1.3
% 0.96/0.41 % (722364)Termination reason: Instruction limit
% 0.96/0.41 % (722364)Termination phase: Property scanning
% 0.96/0.41 % (722364)Time elapsed: 0.002 s
% 0.96/0.41 % (722364)Peak memory usage: 10 MB
% 0.96/0.41 % (722364)Instructions burned: 8 (million)
% 0.96/0.41 % (722363)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1033055973:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.96/0.41 % (722368)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.96/0.41 % (722368)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.96/0.41 % (722363)Instruction limit reached!
% 0.96/0.41 % (722363)------------------------------
% 0.96/0.41 % (722363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (722363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (722363)CaDiCaL version: 2.1.3
% 0.96/0.41 % (722363)Termination reason: Instruction limit
% 0.96/0.41 % (722363)Termination phase: Clausification
% 0.96/0.41 % (722363)Time elapsed: 0.003 s
% 0.96/0.41 % (722363)Peak memory usage: 10 MB
% 0.96/0.41 % (722363)Instructions burned: 6 (million)
% 0.96/0.41 % (722352)Instruction limit reached!
% 0.96/0.41 % (722352)------------------------------
% 0.96/0.41 % (722352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (722352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (722352)CaDiCaL version: 2.1.3
% 0.96/0.41 % (722368)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1599304143:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.96/0.41 % (722352)Termination reason: Instruction limit
% 0.96/0.41 % (722352)Termination phase: Saturation
% 0.96/0.41 % (722352)Time elapsed: 0.024 s
% 0.96/0.41 % (722352)Peak memory usage: 11 MB
% 0.96/0.41 % (722352)Instructions burned: 24 (million)
% 0.96/0.41 % (722366)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3037240438:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.96/0.41 % (722368)Instruction limit reached!
% 0.96/0.41 % (722368)------------------------------
% 0.96/0.41 % (722368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (722368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (722368)CaDiCaL version: 2.1.3
% 0.96/0.41 % (722368)Termination reason: Instruction limit
% 0.96/0.41 % (722368)Termination phase: Saturation
% 0.96/0.41 % (722368)Time elapsed: 0.007 s
% 0.96/0.41 % (722368)Peak memory usage: 12 MB
% 0.96/0.41 % (722368)Instructions burned: 29 (million)
% 0.96/0.41 % (722366)Instruction limit reached!
% 0.96/0.41 % (722366)------------------------------
% 0.96/0.41 % (722366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (722366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (722366)CaDiCaL version: 2.1.3
% 0.96/0.41 % (722366)Termination reason: Instruction limit
% 0.96/0.41 % (722366)Termination phase: Property scanning
% 0.96/0.41 % (722366)Time elapsed: 0.006 s
% 0.96/0.41 % (722366)Peak memory usage: 11 MB
% 0.96/0.41 % (722366)Instructions burned: 12 (million)
% 0.96/0.41 % (722348)Instruction limit reached!
% 0.96/0.41 % (722348)------------------------------
% 0.96/0.41 % (722348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (722348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (722374)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.96/0.41 % (722348)CaDiCaL version: 2.1.3
% 0.96/0.44 % (722348)Termination reason: Instruction limit
% 0.96/0.44 % (722348)Termination phase: Saturation
% 0.96/0.44 % (722348)Time elapsed: 0.052 s
% 0.96/0.44 % (722348)Peak memory usage: 13 MB
% 0.96/0.44 % (722348)Instructions burned: 88 (million)
% 0.96/0.44 % (722374)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2192918470:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.96/0.44 % (722370)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1975220347:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.96/0.44 % (722374)Instruction limit reached!
% 0.96/0.44 % (722374)------------------------------
% 0.96/0.44 % (722374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (722374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (722374)CaDiCaL version: 2.1.3
% 0.96/0.44 % (722374)Termination reason: Instruction limit
% 0.96/0.44 % (722374)Termination phase: Property scanning
% 0.96/0.44 % (722374)Time elapsed: 0.001 s
% 0.96/0.44 % (722374)Peak memory usage: 9 MB
% 0.96/0.44 % (722374)Instructions burned: 5 (million)
% 0.96/0.44 % (722372)lrs+10_1_si=on:cs=on:random_seed=1608761708:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.96/0.44 % (722372)Instruction limit reached!
% 0.96/0.44 % (722372)------------------------------
% 0.96/0.44 % (722372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (722372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (722372)CaDiCaL version: 2.1.3
% 0.96/0.44 % (722372)Termination reason: Instruction limit
% 0.96/0.44 % (722372)Termination phase: Function definition elimination
% 0.96/0.44 % (722372)Time elapsed: 0.004 s
% 0.96/0.44 % (722372)Peak memory usage: 10 MB
% 0.96/0.44 % (722372)Instructions burned: 9 (million)
% 0.96/0.44 % (722380)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3254097648:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.96/0.44 % (722375)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2936683697:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.96/0.44 % (722380)Instruction limit reached!
% 0.96/0.44 % (722380)------------------------------
% 0.96/0.44 % (722380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (722380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (722380)CaDiCaL version: 2.1.3
% 0.96/0.44 % (722380)Termination reason: Instruction limit
% 0.96/0.44 % (722380)Termination phase: Saturation
% 0.96/0.44 % (722380)Time elapsed: 0.008 s
% 0.96/0.44 % (722380)Peak memory usage: 12 MB
% 0.96/0.44 % (722380)Instructions burned: 26 (million)
% 0.96/0.44 % (722375)Refutation not found, incomplete strategy
% 0.96/0.44 % (722375)------------------------------
% 0.96/0.44 % (722375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (722375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (722375)CaDiCaL version: 2.1.3
% 0.96/0.44 % (722375)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.44 % (722375)Time elapsed: 0.010 s
% 0.96/0.44 % (722375)Peak memory usage: 12 MB
% 0.96/0.44 % (722375)Instructions burned: 18 (million)
% 0.96/0.44 % (722376)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1037276939:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.96/0.44 % (722375)------------------------------
% 0.96/0.44 % (722375)------------------------------
% 0.96/0.44 % (722381)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1168191775:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.96/0.44 % (722384)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=843675071:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.96/0.44 % (722354)Instruction limit reached!
% 0.96/0.44 % (722354)------------------------------
% 0.96/0.44 % (722354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (722354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (722381)Instruction limit reached!
% 0.96/0.48 % (722381)------------------------------
% 0.96/0.48 % (722381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.48 % (722354)CaDiCaL version: 2.1.3
% 0.96/0.48 % (722381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.48 % (722354)Termination reason: Instruction limit
% 0.96/0.48 % (722354)Termination phase: Saturation
% 0.96/0.48 % (722354)Time elapsed: 0.082 s
% 0.96/0.48 % (722381)CaDiCaL version: 2.1.3
% 0.96/0.48 % (722354)Peak memory usage: 13 MB
% 0.96/0.48 % (722381)Termination reason: Instruction limit
% 0.96/0.48 % (722381)Termination phase: Property scanning
% 0.96/0.48 % (722381)Time elapsed: 0.006 s
% 0.96/0.48 % (722354)Instructions burned: 157 (million)
% 0.96/0.48 % (722381)Peak memory usage: 10 MB
% 0.96/0.48 % (722381)Instructions burned: 14 (million)
% 0.96/0.48 % (722376)Refutation not found, incomplete strategy
% 0.96/0.48 % (722376)------------------------------
% 0.96/0.48 % (722376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.48 % (722376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.48 % (722376)CaDiCaL version: 2.1.3
% 0.96/0.48 % (722376)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.48 % (722376)Time elapsed: 0.009 s
% 0.96/0.48 % (722376)Peak memory usage: 12 MB
% 0.96/0.48 % (722376)Instructions burned: 13 (million)
% 0.96/0.48 % (722376)------------------------------
% 0.96/0.48 % (722376)------------------------------
% 0.96/0.48 % (722387)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1542182845:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.48 % (722370)Instruction limit reached!
% 0.96/0.48 % (722370)------------------------------
% 0.96/0.48 % (722370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.48 % (722370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.48 % (722370)CaDiCaL version: 2.1.3
% 0.96/0.48 % (722370)Termination reason: Instruction limit
% 0.96/0.48 % (722370)Termination phase: Saturation
% 0.96/0.48 % (722370)Time elapsed: 0.044 s
% 0.96/0.48 % (722370)Peak memory usage: 13 MB
% 0.96/0.48 % (722370)Instructions burned: 87 (million)
% 0.96/0.48 % (722387)Instruction limit reached!
% 0.96/0.48 % (722387)------------------------------
% 0.96/0.48 % (722387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.48 % (722387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.48 % (722387)CaDiCaL version: 2.1.3
% 0.96/0.48 % (722387)Termination reason: Instruction limit
% 0.96/0.48 % (722387)Termination phase: Saturation
% 0.96/0.48 % (722387)Time elapsed: 0.006 s
% 0.96/0.48 % (722387)Peak memory usage: 11 MB
% 0.96/0.48 % (722387)Instructions burned: 14 (million)
% 0.96/0.48 % (722390)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=908943106:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.96/0.48 % (722389)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3689538183:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.96/0.48 % (722389)Instruction limit reached!
% 0.96/0.48 % (722389)------------------------------
% 0.96/0.48 % (722389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.48 % (722389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.48 % (722389)CaDiCaL version: 2.1.3
% 0.96/0.48 % (722389)Termination reason: Instruction limit
% 0.96/0.48 % (722389)Termination phase: shuffling
% 0.96/0.48 % (722389)Time elapsed: 0.001 s
% 0.96/0.48 % (722389)Peak memory usage: 10 MB
% 0.96/0.48 % (722389)Instructions burned: 3 (million)
% 0.96/0.48 % (722391)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1887095786:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.96/0.48 % (722393)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2882987723:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.96/0.48 % (722390)Instruction limit reached!
% 0.96/0.48 % (722390)------------------------------
% 0.96/0.48 % (722390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.48 % (722390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.48 % (722390)CaDiCaL version: 2.1.3
% 0.96/0.48 % (722390)Termination reason: Instruction limit
% 0.96/0.52 % (722390)Termination phase: Saturation
% 0.96/0.52 % (722390)Time elapsed: 0.013 s
% 0.96/0.52 % (722390)Peak memory usage: 12 MB
% 0.96/0.52 % (722390)Instructions burned: 27 (million)
% 0.96/0.52 % (722395)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.96/0.52 % (722395)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.96/0.52 % (722395)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1962534292:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.52 % (722397)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.96/0.52 % (722391)Instruction limit reached!
% 0.96/0.52 % (722391)------------------------------
% 0.96/0.52 % (722391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.52 % (722391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.52 % (722391)CaDiCaL version: 2.1.3
% 0.96/0.52 % (722391)Termination reason: Instruction limit
% 0.96/0.52 % (722391)Termination phase: Saturation
% 0.96/0.52 % (722391)Time elapsed: 0.014 s
% 0.96/0.52 % (722391)Peak memory usage: 11 MB
% 0.96/0.52 % (722391)Instructions burned: 23 (million)
% 0.96/0.52 % (722397)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=679745657:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.96/0.52 % (722395)Instruction limit reached!
% 0.96/0.52 % (722395)------------------------------
% 0.96/0.52 % (722395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.52 % (722395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.52 % (722395)CaDiCaL version: 2.1.3
% 0.96/0.52 % (722395)Termination reason: Instruction limit
% 0.96/0.52 % (722395)Termination phase: Saturation
% 0.96/0.52 % (722395)Time elapsed: 0.006 s
% 0.96/0.52 % (722395)Peak memory usage: 11 MB
% 0.96/0.52 % (722395)Instructions burned: 15 (million)
% 0.96/0.52 % (722397)Instruction limit reached!
% 0.96/0.52 % (722397)------------------------------
% 0.96/0.52 % (722397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.52 % (722397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.52 % (722397)CaDiCaL version: 2.1.3
% 0.96/0.52 % (722397)Termination reason: Instruction limit
% 0.96/0.52 % (722397)Termination phase: Property scanning
% 0.96/0.52 % (722397)Time elapsed: 0.004 s
% 0.96/0.52 % (722397)Peak memory usage: 11 MB
% 0.96/0.52 % (722397)Instructions burned: 8 (million)
% 0.96/0.52 % (722400)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3801685753:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.96/0.52 % (722402)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=385376285:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.96/0.52 % (722393)Instruction limit reached!
% 0.96/0.52 % (722393)------------------------------
% 0.96/0.52 % (722393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.52 % (722393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.52 % (722393)CaDiCaL version: 2.1.3
% 0.96/0.52 % (722393)Termination reason: Instruction limit
% 0.96/0.52 % (722393)Termination phase: Saturation
% 0.96/0.52 % (722393)Time elapsed: 0.033 s
% 0.96/0.52 % (722393)Peak memory usage: 12 MB
% 0.96/0.52 % (722393)Instructions burned: 60 (million)
% 0.96/0.52 % (722402)Instruction limit reached!
% 0.96/0.52 % (722402)------------------------------
% 0.96/0.52 % (722402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.52 % (722402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.52 % (722402)CaDiCaL version: 2.1.3
% 0.96/0.52 % (722402)Termination reason: Instruction limit
% 0.96/0.52 % (722402)Termination phase: Property scanning
% 0.96/0.52 % (722402)Time elapsed: 0.004 s
% 0.96/0.52 % (722402)Peak memory usage: 10 MB
% 0.96/0.52 % (722402)Instructions burned: 7 (million)
% 0.96/0.52 % (722405)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2486329320:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.94/0.59 % (722404)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3934080192:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.94/0.59 % (722400)Instruction limit reached!
% 1.94/0.59 % (722400)------------------------------
% 1.94/0.59 % (722400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.59 % (722400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.59 % (722400)CaDiCaL version: 2.1.3
% 1.94/0.59 % (722400)Termination reason: Instruction limit
% 1.94/0.59 % (722400)Termination phase: Saturation
% 1.94/0.59 % (722400)Time elapsed: 0.017 s
% 1.94/0.59 % (722400)Peak memory usage: 12 MB
% 1.94/0.59 % (722400)Instructions burned: 32 (million)
% 1.94/0.59 % (722405)Instruction limit reached!
% 1.94/0.59 % (722405)------------------------------
% 1.94/0.59 % (722405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.59 % (722405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.59 % (722405)CaDiCaL version: 2.1.3
% 1.94/0.59 % (722405)Termination reason: Instruction limit
% 1.94/0.59 % (722405)Termination phase: Saturation
% 1.94/0.59 % (722405)Time elapsed: 0.011 s
% 1.94/0.59 % (722405)Peak memory usage: 12 MB
% 1.94/0.59 % (722405)Instructions burned: 20 (million)
% 1.94/0.59 % (722404)Instruction limit reached!
% 1.94/0.59 % (722404)------------------------------
% 1.94/0.59 % (722404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.59 % (722404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.59 % (722404)CaDiCaL version: 2.1.3
% 1.94/0.59 % (722404)Termination reason: Instruction limit
% 1.94/0.59 % (722404)Termination phase: Saturation
% 1.94/0.59 % (722404)Time elapsed: 0.011 s
% 1.94/0.59 % (722404)Peak memory usage: 11 MB
% 1.94/0.59 % (722404)Instructions burned: 24 (million)
% 1.94/0.59 % (722408)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2628790380:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.94/0.59 % (722384)Instruction limit reached!
% 1.94/0.59 % (722384)------------------------------
% 1.94/0.59 % (722384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.59 % (722384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.59 % (722384)CaDiCaL version: 2.1.3
% 1.94/0.59 % (722384)Termination reason: Instruction limit
% 1.94/0.59 % (722384)Termination phase: Saturation
% 1.94/0.59 % (722384)Time elapsed: 0.087 s
% 1.94/0.59 % (722384)Peak memory usage: 13 MB
% 1.94/0.59 % (722384)Instructions burned: 330 (million)
% 1.94/0.59 % (722412)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1311093091:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.94/0.59 % (722414)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.94/0.59 % (722410)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=856302306:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.94/0.59 % (722416)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3024303079:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.94/0.59 % (722413)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3025127101:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.94/0.59 % (722414)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3078403624:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.94/0.59 % (722416)Refutation not found, incomplete strategy
% 1.94/0.59 % (722416)------------------------------
% 1.94/0.59 % (722416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.59 % (722416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.59 % (722416)CaDiCaL version: 2.1.3
% 1.94/0.59 % (722416)Termination reason: Refutation not found, incomplete strategy
% 1.94/0.59 % (722416)Time elapsed: 0.005 s
% 1.94/0.59 % (722416)Peak memory usage: 12 MB
% 1.94/0.59 % (722416)Instructions burned: 20 (million)
% 1.94/0.59 % (722414)Instruction limit reached!
% 1.94/0.59 % (722414)------------------------------
% 2.57/0.68 % (722414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.68 % (722414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.68 % (722414)CaDiCaL version: 2.1.3
% 2.57/0.68 % (722414)Termination reason: Instruction limit
% 2.57/0.68 % (722414)Termination phase: Function definition elimination
% 2.57/0.68 % (722414)Time elapsed: 0.004 s
% 2.57/0.68 % (722414)Peak memory usage: 10 MB
% 2.57/0.68 % (722414)Instructions burned: 9 (million)
% 2.57/0.68 % (722416)------------------------------
% 2.57/0.68 % (722416)------------------------------
% 2.57/0.68 % (722423)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.57/0.68 % (722423)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1949670848:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.57/0.68 % (722423)Instruction limit reached!
% 2.57/0.68 % (722423)------------------------------
% 2.57/0.68 % (722423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.68 % (722423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.68 % (722423)CaDiCaL version: 2.1.3
% 2.57/0.68 % (722423)Termination reason: Instruction limit
% 2.57/0.68 % (722423)Termination phase: SInE selection
% 2.57/0.68 % (722423)Time elapsed: 0.001 s
% 2.57/0.68 % (722423)Peak memory usage: 10 MB
% 2.57/0.68 % (722423)Instructions burned: 6 (million)
% 2.57/0.68 % (722413)Instruction limit reached!
% 2.57/0.68 % (722413)------------------------------
% 2.57/0.68 % (722413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.68 % (722413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.68 % (722413)CaDiCaL version: 2.1.3
% 2.57/0.68 % (722413)Termination reason: Instruction limit
% 2.57/0.68 % (722413)Termination phase: Saturation
% 2.57/0.68 % (722413)Time elapsed: 0.021 s
% 2.57/0.68 % (722413)Peak memory usage: 12 MB
% 2.57/0.68 % (722413)Instructions burned: 43 (million)
% 2.57/0.68 % (722422)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1515285286:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.57/0.68 % (722425)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=63095388:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.57/0.68 % (722425)Instruction limit reached!
% 2.57/0.68 % (722425)------------------------------
% 2.57/0.68 % (722425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.68 % (722425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.68 % (722425)CaDiCaL version: 2.1.3
% 2.57/0.68 % (722425)Termination reason: Instruction limit
% 2.57/0.68 % (722425)Termination phase: Saturation
% 2.57/0.68 % (722425)Time elapsed: 0.005 s
% 2.57/0.68 % (722425)Peak memory usage: 11 MB
% 2.57/0.68 % (722425)Instructions burned: 22 (million)
% 2.57/0.68 % (722426)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2676015556:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.57/0.68 % (722412)Refutation not found, incomplete strategy
% 2.57/0.68 % (722412)------------------------------
% 2.57/0.68 % (722412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.68 % (722412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.68 % (722412)CaDiCaL version: 2.1.3
% 2.57/0.68 % (722412)Termination reason: Refutation not found, incomplete strategy
% 2.57/0.68 % (722412)Time elapsed: 0.053 s
% 2.57/0.68 % (722412)Peak memory usage: 13 MB
% 2.57/0.68 % (722412)Instructions burned: 99 (million)
% 2.57/0.68 % (722429)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2697905019:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.57/0.68 % (722412)------------------------------
% 2.57/0.68 % (722412)------------------------------
% 2.57/0.68 % (722422)Refutation not found, incomplete strategy
% 2.57/0.68 % (722422)------------------------------
% 2.57/0.68 % (722422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.68 % (722422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.75 % (722422)CaDiCaL version: 2.1.3
% 2.99/0.75 % (722422)Termination reason: Refutation not found, incomplete strategy
% 2.99/0.75 % (722422)Time elapsed: 0.024 s
% 2.99/0.75 % (722422)Peak memory usage: 13 MB
% 2.99/0.75 % (722422)Instructions burned: 44 (million)
% 2.99/0.75 % (722426)Instruction limit reached!
% 2.99/0.75 % (722426)------------------------------
% 2.99/0.75 % (722426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.75 % (722426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.75 % (722426)CaDiCaL version: 2.1.3
% 2.99/0.75 % (722426)Termination reason: Instruction limit
% 2.99/0.75 % (722426)Termination phase: Saturation
% 2.99/0.75 % (722426)Time elapsed: 0.009 s
% 2.99/0.75 % (722426)Peak memory usage: 12 MB
% 2.99/0.75 % (722426)Instructions burned: 21 (million)
% 2.99/0.75 % (722422)------------------------------
% 2.99/0.75 % (722422)------------------------------
% 2.99/0.75 % (722432)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2489776018:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.99/0.75 % (722433)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=165324223:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.99/0.75 % (722434)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1148522468:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.99/0.75 % (722434)Refutation not found, incomplete strategy
% 2.99/0.75 % (722434)------------------------------
% 2.99/0.75 % (722434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.75 % (722434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.75 % (722434)CaDiCaL version: 2.1.3
% 2.99/0.75 % (722434)Termination reason: Refutation not found, incomplete strategy
% 2.99/0.75 % (722434)Time elapsed: 0.007 s
% 2.99/0.75 % (722434)Peak memory usage: 12 MB
% 2.99/0.75 % (722434)Instructions burned: 12 (million)
% 2.99/0.75 % (722434)------------------------------
% 2.99/0.75 % (722434)------------------------------
% 2.99/0.75 % (722433)Instruction limit reached!
% 2.99/0.75 % (722433)------------------------------
% 2.99/0.75 % (722433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.75 % (722433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.75 % (722433)CaDiCaL version: 2.1.3
% 2.99/0.75 % (722433)Termination reason: Instruction limit
% 2.99/0.75 % (722433)Termination phase: Saturation
% 2.99/0.75 % (722433)Time elapsed: 0.024 s
% 2.99/0.75 % (722433)Peak memory usage: 12 MB
% 2.99/0.75 % (722433)Instructions burned: 46 (million)
% 2.99/0.75 % (722438)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1630184592:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.99/0.75 % (722439)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.99/0.75 % (722439)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2419620816:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.99/0.75 % (722410)Instruction limit reached!
% 2.99/0.75 % (722410)------------------------------
% 2.99/0.75 % (722410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.75 % (722410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.75 % (722410)CaDiCaL version: 2.1.3
% 2.99/0.75 % (722410)Termination reason: Instruction limit
% 2.99/0.75 % (722410)Termination phase: Saturation
% 2.99/0.75 % (722410)Time elapsed: 0.123 s
% 2.99/0.75 % (722410)Peak memory usage: 13 MB
% 2.99/0.75 % (722410)Instructions burned: 143 (million)
% 2.99/0.75 % (722438)Instruction limit reached!
% 2.99/0.75 % (722438)------------------------------
% 2.99/0.75 % (722438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.99/0.75 % (722438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/0.75 % (722438)CaDiCaL version: 2.1.3
% 2.99/0.75 % (722438)Termination reason: Instruction limit
% 3.65/0.83 % (722438)Termination phase: Saturation
% 3.65/0.83 % (722438)Time elapsed: 0.017 s
% 3.65/0.83 % (722438)Peak memory usage: 12 MB
% 3.65/0.83 % (722438)Instructions burned: 27 (million)
% 3.65/0.83 % (722442)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2395681168:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.65/0.83 % (722443)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3198026949:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.65/0.83 % (722429)Instruction limit reached!
% 3.65/0.83 % (722429)------------------------------
% 3.65/0.83 % (722429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.83 % (722429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.83 % (722429)CaDiCaL version: 2.1.3
% 3.65/0.83 % (722429)Termination reason: Instruction limit
% 3.65/0.83 % (722429)Termination phase: Saturation
% 3.65/0.83 % (722429)Time elapsed: 0.100 s
% 3.65/0.83 % (722429)Peak memory usage: 15 MB
% 3.65/0.83 % (722429)Instructions burned: 320 (million)
% 3.65/0.83 % (722442)Instruction limit reached!
% 3.65/0.83 % (722442)------------------------------
% 3.65/0.83 % (722442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.83 % (722442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.83 % (722442)CaDiCaL version: 2.1.3
% 3.65/0.83 % (722442)Termination reason: Instruction limit
% 3.65/0.83 % (722442)Termination phase: Saturation
% 3.65/0.83 % (722442)Time elapsed: 0.008 s
% 3.65/0.83 % (722442)Peak memory usage: 12 MB
% 3.65/0.83 % (722442)Instructions burned: 13 (million)
% 3.65/0.83 % (722446)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1252298832:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.65/0.83 % (722447)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3769193688:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.65/0.83 % (722446)Instruction limit reached!
% 3.65/0.83 % (722446)------------------------------
% 3.65/0.83 % (722446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.83 % (722446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.83 % (722446)CaDiCaL version: 2.1.3
% 3.65/0.83 % (722446)Termination reason: Instruction limit
% 3.65/0.83 % (722446)Termination phase: Saturation
% 3.65/0.83 % (722446)Time elapsed: 0.014 s
% 3.65/0.83 % (722446)Peak memory usage: 12 MB
% 3.65/0.83 % (722446)Instructions burned: 51 (million)
% 3.65/0.83 % (722443)Instruction limit reached!
% 3.65/0.83 % (722443)------------------------------
% 3.65/0.83 % (722443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.83 % (722443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.83 % (722443)CaDiCaL version: 2.1.3
% 3.65/0.83 % (722443)Termination reason: Instruction limit
% 3.65/0.83 % (722443)Termination phase: Saturation
% 3.65/0.83 % (722443)Time elapsed: 0.032 s
% 3.65/0.83 % (722443)Peak memory usage: 13 MB
% 3.65/0.83 % (722443)Instructions burned: 67 (million)
% 3.65/0.83 % (722447)Instruction limit reached!
% 3.65/0.83 % (722447)------------------------------
% 3.65/0.83 % (722447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.83 % (722447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.83 % (722447)CaDiCaL version: 2.1.3
% 3.65/0.83 % (722447)Termination reason: Instruction limit
% 3.65/0.83 % (722447)Termination phase: Saturation
% 3.65/0.83 % (722447)Time elapsed: 0.015 s
% 3.65/0.83 % (722447)Peak memory usage: 12 MB
% 3.65/0.83 % (722447)Instructions burned: 31 (million)
% 3.65/0.83 % (722450)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1370675739:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.65/0.83 % (722451)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1768418828:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.65/0.83 % (722452)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=206193537:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.65/0.83 % (722439)Instruction limit reached!
% 3.65/0.83 % (722439)------------------------------
% 3.65/0.87 % (722439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.87 % (722439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.87 % (722439)CaDiCaL version: 2.1.3
% 3.65/0.87 % (722439)Termination reason: Instruction limit
% 3.65/0.87 % (722439)Termination phase: Saturation
% 3.65/0.87 % (722439)Time elapsed: 0.095 s
% 3.65/0.87 % (722439)Peak memory usage: 12 MB
% 3.65/0.87 % (722439)Instructions burned: 201 (million)
% 3.65/0.87 % (722451)Instruction limit reached!
% 3.65/0.87 % (722451)------------------------------
% 3.65/0.87 % (722451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.87 % (722451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.87 % (722451)CaDiCaL version: 2.1.3
% 3.65/0.87 % (722451)Termination reason: Instruction limit
% 3.65/0.87 % (722451)Termination phase: Saturation
% 3.65/0.87 % (722451)Time elapsed: 0.016 s
% 3.65/0.87 % (722451)Peak memory usage: 12 MB
% 3.65/0.87 % (722451)Instructions burned: 34 (million)
% 3.65/0.87 % (722456)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.65/0.87 % (722456)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1437107284:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.65/0.87 % (722457)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2302769044:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.65/0.87 % (722452)Refutation not found, incomplete strategy
% 3.65/0.87 % (722452)------------------------------
% 3.65/0.87 % (722452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.87 % (722452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.87 % (722452)CaDiCaL version: 2.1.3
% 3.65/0.87 % (722452)Termination reason: Refutation not found, incomplete strategy
% 3.65/0.87 % (722452)Time elapsed: 0.032 s
% 3.65/0.87 % (722452)Peak memory usage: 12 MB
% 3.65/0.87 % (722452)Instructions burned: 63 (million)
% 3.65/0.87 % (722452)------------------------------
% 3.65/0.87 % (722452)------------------------------
% 3.65/0.87 % (722457)Refutation not found, incomplete strategy
% 3.65/0.87 % (722457)------------------------------
% 3.65/0.87 % (722457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.87 % (722457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.87 % (722457)CaDiCaL version: 2.1.3
% 3.65/0.87 % (722457)Termination reason: Refutation not found, incomplete strategy
% 3.65/0.87 % (722457)Time elapsed: 0.022 s
% 3.65/0.87 % (722457)Peak memory usage: 12 MB
% 3.65/0.87 % (722457)Instructions burned: 42 (million)
% 3.65/0.87 % (722457)------------------------------
% 3.65/0.87 % (722457)------------------------------
% 3.65/0.87 % (722351)Instruction limit reached!
% 3.65/0.87 % (722351)------------------------------
% 3.65/0.87 % (722351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.87 % (722351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.87 % (722351)CaDiCaL version: 2.1.3
% 3.65/0.87 % (722351)Termination reason: Instruction limit
% 3.65/0.87 % (722351)Termination phase: Saturation
% 3.65/0.87 % (722351)Time elapsed: 0.429 s
% 3.65/0.87 % (722351)Peak memory usage: 14 MB
% 3.65/0.87 % (722351)Instructions burned: 634 (million)
% 3.65/0.87 % (722460)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2057803974:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.65/0.87 % (722461)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2097538717:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.65/0.87 % (722463)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=796366551:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.65/0.87 % (722450)Instruction limit reached!
% 3.65/0.87 % (722450)------------------------------
% 3.65/0.87 % (722450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.87 % (722450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.87 % (722450)CaDiCaL version: 2.1.3
% 3.65/0.87 % (722450)Termination reason: Instruction limit
% 3.65/0.87 % (722450)Termination phase: Saturation
% 3.65/0.87 % (722450)Time elapsed: 0.083 s
% 3.65/0.87 % (722450)Peak memory usage: 13 MB
% 3.65/0.87 % (722450)Instructions burned: 137 (million)
% 3.65/0.87 % (722461)Refutation not found, incomplete strategy
% 3.65/0.87 % (722461)------------------------------
% 3.65/0.87 % (722461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.87 % (722461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.87 % (722461)CaDiCaL version: 2.1.3
% 3.65/0.87 % (722461)Termination reason: Refutation not found, incomplete strategy
% 3.65/0.87 % (722461)Time elapsed: 0.005 s
% 3.65/0.87 % (722461)Peak memory usage: 12 MB
% 3.65/0.87 % (722461)Instructions burned: 10 (million)
% 3.65/0.87 % (722461)------------------------------
% 3.65/0.87 % (722461)------------------------------
% 3.65/0.87 % (722467)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3710525702:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.65/0.87 % (722466)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=129348472:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.65/0.87 % (722460)Instruction limit reached!
% 3.65/0.87 % (722460)------------------------------
% 3.65/0.87 % (722460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.87 % (722460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.87 % (722460)CaDiCaL version: 2.1.3
% 3.65/0.87 % (722460)Termination reason: Instruction limit
% 3.65/0.87 % (722460)Termination phase: Saturation
% 3.65/0.87 % (722460)Time elapsed: 0.044 s
% 3.65/0.87 % (722460)Peak memory usage: 12 MB
% 3.65/0.87 % (722460)Instructions burned: 96 (million)
% 3.65/0.87 % (722456)Instruction limit reached!
% 3.65/0.87 % (722456)------------------------------
% 3.65/0.87 % (722456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.87 % (722456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.87 % (722456)CaDiCaL version: 2.1.3
% 3.65/0.87 % (722456)Termination reason: Instruction limit
% 3.65/0.87 % (722456)Termination phase: Saturation
% 3.65/0.87 % (722456)Time elapsed: 0.085 s
% 3.65/0.87 % (722456)Peak memory usage: 13 MB
% 3.65/0.87 % (722456)Instructions burned: 181 (million)
% 3.65/0.87 % (722470)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1555925261:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.65/0.87 % (722471)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3607419050:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.65/0.87 % (722471)Refutation not found, incomplete strategy
% 3.65/0.87 % (722471)------------------------------
% 3.65/0.87 % (722471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.87 % (722471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.87 % (722471)CaDiCaL version: 2.1.3
% 3.65/0.87 % (722471)Termination reason: Refutation not found, incomplete strategy
% 3.65/0.87 % (722471)Time elapsed: 0.007 s
% 3.65/0.87 % (722471)Peak memory usage: 12 MB
% 3.65/0.87 % (722471)Instructions burned: 13 (million)
% 3.65/0.87 % (722471)------------------------------
% 3.65/0.87 % (722471)------------------------------
% 3.65/0.87 % (722432)Instruction limit reached!
% 3.65/0.87 % (722432)------------------------------
% 3.65/0.87 % (722432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.87 % (722432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.88 % (722432)CaDiCaL version: 2.1.3
% 3.65/0.88 % (722432)Termination reason: Instruction limit
% 3.65/0.88 % (722432)Termination phase: Saturation
% 3.65/0.88 % (722432)Time elapsed: 0.276 s
% 3.65/0.88 % (722432)Peak memory usage: 14 MB
% 3.65/0.88 % (722432)Instructions burned: 854 (million)
% 3.65/0.88 % (722470)Instruction limit reached!
% 3.65/0.88 % (722470)------------------------------
% 3.65/0.88 % (722470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.88 % (722470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.88 % (722470)CaDiCaL version: 2.1.3
% 3.65/0.88 % (722470)Termination reason: Instruction limit
% 3.65/0.88 % (722470)Termination phase: Saturation
% 3.65/0.88 % (722470)Time elapsed: 0.024 s
% 3.65/0.88 % (722470)Peak memory usage: 12 MB
% 3.65/0.88 % (722470)Instructions burned: 45 (million)
% 3.65/0.88 % (722475)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3375905528:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.65/0.88 % (722474)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2026782781:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.65/0.88 % (722476)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=802904708:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.65/0.88 % (722467)Instruction limit reached!
% 3.65/0.88 % (722467)------------------------------
% 3.65/0.88 % (722467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.88 % (722467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.88 % (722467)CaDiCaL version: 2.1.3
% 3.65/0.88 % (722467)Termination reason: Instruction limit
% 3.65/0.88 % (722467)Termination phase: Saturation
% 3.65/0.88 % (722467)Time elapsed: 0.069 s
% 3.65/0.88 % (722467)Peak memory usage: 13 MB
% 3.65/0.88 % (722467)Instructions burned: 131 (million)
% 3.65/0.88 % (722463) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-722342-722463"...
% 3.65/0.88 % (722475)Instruction limit reached!
% 3.65/0.88 % (722475)------------------------------
% 3.65/0.88 % (722475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.88 % (722475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.88 % (722475)CaDiCaL version: 2.1.3
% 3.65/0.88 % (722475)Termination reason: Instruction limit
% 3.65/0.88 % (722475)Termination phase: Saturation
% 3.65/0.88 % (722475)Time elapsed: 0.025 s
% 3.65/0.88 % (722475)Peak memory usage: 12 MB
% 3.65/0.88 % (722475)Instructions burned: 97 (million)
% 3.65/0.88 % (722480)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2045520400:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2994 on theBenchmark for (2994ds/105Mi)
% 3.65/0.88 % (722481)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=725106014:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 3.65/0.88 % (722476)Instruction limit reached!
% 3.65/0.88 % (722476)------------------------------
% 3.65/0.88 % (722476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.88 % (722476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.88 % (722476)CaDiCaL version: 2.1.3
% 3.65/0.88 % (722476)Termination reason: Instruction limit
% 3.65/0.88 % (722476)Termination phase: Saturation
% 3.65/0.88 % (722476)Time elapsed: 0.034 s
% 3.65/0.88 % (722476)Peak memory usage: 12 MB
% 3.65/0.88 % (722476)Instructions burned: 66 (million)
% 3.65/0.88 % (722463)...printing done.
% 3.65/0.88 % (722463)Refutation found. Thanks to Tanya!
% 3.65/0.88 % SZS status Theorem for theBenchmark
% 3.65/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/0.88 % (722463)------------------------------
% 3.65/0.88 % (722463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.88 % (722463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.88 % (722463)CaDiCaL version: 2.1.3
% 3.65/0.88 % (722463)Termination reason: Refutation
% 3.65/0.88 % (722463)Time elapsed: 0.122 s
% 3.65/0.88 % (722463)Peak memory usage: 13 MB
% 3.65/0.88 % (722463)Instructions burned: 193 (million)
% 3.65/0.88 % (722342)Success in time 0.624 s
% 3.65/0.88 % Vampire exiting
%------------------------------------------------------------------------------