%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEG020^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 3.80s 1.02s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 39
% Syntax : Number of formulae : 334 ( 87 unt; 0 typ; 27 def)
% Number of atoms : 2622 ( 442 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 4596 ( 339 ~; 505 |; 198 &;2897 @)
% ( 25 <=>; 283 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 135 ( 130 usr; 43 con; 0-4 aty)
% ( 257 !!; 92 ??; 0 @@+; 0 @@-)
% Number of variables : 896 ( 20 sgn 163 !; 6 ?; 896 :)
% 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_53,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_54,type,
vNOT: $o > $o ).
thf(func_def_55,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_56,type,
vIMP: $o > $o > $o ).
thf(func_def_57,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_58,type,
vOR: $o > $o > $o ).
thf(func_def_59,type,
vAND: $o > $o > $o ).
thf(func_def_60,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_61,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_62,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_63,type,
sF0: $o ).
thf(func_def_64,type,
sF1: $o ).
thf(func_def_65,type,
sK2: $i > ( $i > $o ) > $i ).
thf(func_def_68,type,
sK5: reg ).
thf(func_def_69,type,
sK6: reg ).
thf(func_def_70,type,
sK7: reg ).
thf(func_def_71,type,
sK8: reg > reg ).
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 > reg ).
thf(func_def_77,type,
sK14: reg > reg > reg ).
thf(func_def_78,type,
sK15: reg > reg ).
thf(func_def_79,type,
sK16: reg > reg > reg ).
thf(func_def_80,type,
sK17: reg > reg ).
thf(func_def_81,type,
sK18: reg > reg ).
thf(func_def_82,type,
sK19: reg > reg > reg ).
thf(func_def_83,type,
sK20: reg > reg > reg ).
thf(func_def_84,type,
sK21: reg > reg ).
thf(func_def_85,type,
sK22: reg > reg ).
thf(func_def_86,type,
sK23: reg > reg ).
thf(func_def_87,type,
sK24: reg > reg > reg ).
thf(func_def_88,type,
sK25: reg > reg > reg ).
thf(func_def_89,type,
sK26: reg > reg ).
thf(func_def_90,type,
sK27: reg > reg ).
thf(func_def_91,type,
sK28: reg > reg > reg ).
thf(func_def_92,type,
sK29: reg > reg > reg ).
thf(func_def_93,type,
sK30: reg > reg ).
thf(func_def_94,type,
sK31: reg ).
thf(func_def_95,type,
sK32: reg > reg ).
thf(func_def_96,type,
sK33: reg > reg ).
thf(func_def_97,type,
sK34: reg ).
thf(func_def_98,type,
sK35: reg > reg ).
thf(func_def_99,type,
sK36: reg > reg ).
thf(func_def_100,type,
sK37: reg > reg ).
thf(func_def_101,type,
sK38: reg > reg ).
thf(func_def_102,type,
sK39: reg ).
thf(func_def_103,type,
sK40: $i > ( $i > $o ) > $i ).
thf(func_def_104,type,
sK41: reg > reg ).
thf(func_def_105,type,
sK42: reg > reg ).
thf(func_def_106,type,
sK43: $i > ( $i > $o ) > $i ).
thf(f16,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) )
= mbox ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f28,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f33,axiom,
! [X1: reg,X0: reg] :
( ( c @ X0 @ X1 )
=> ( c @ X1 @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',c_symmetric) ).
thf(f35,axiom,
( p
= ( ^ [X0: reg,X1: reg] :
! [X2: reg] :
( ( c @ X2 @ X0 )
=> ( c @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL014^0.ax',o) ).
thf(f39,axiom,
( ec
= ( ^ [X0: reg,X1: reg] :
( ~ ( o @ X0 @ X1 )
& ( c @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',ec) ).
thf(f40,axiom,
( ( ^ [X0: reg,X1: reg] :
( ( p @ X0 @ X1 )
& ~ ( p @ X1 @ X0 ) ) )
= pp ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',pp) ).
thf(f41,axiom,
( tpp
= ( ^ [X0: reg,X1: reg] :
( ( pp @ X0 @ X1 )
& ? [X2: reg] :
( ( ec @ X2 @ X0 )
& ( ec @ X2 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',tpp) ).
thf(f42,axiom,
( ntpp
= ( ^ [X0: reg,X1: reg] :
( ~ ? [X2: reg] :
( ( ec @ X2 @ X1 )
& ( ec @ X2 @ X0 ) )
& ( pp @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',ntpp) ).
thf(f46,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X0: $i] : ( tpp @ catalunya @ spain ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(f48,axiom,
( mvalid
@ ( mbox @ a
@ ^ [X0: $i] : ( ntpp @ paris @ france ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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(f56,plain,
( p
= ( ^ [X0: reg,X1: reg] :
! [X2: reg] :
( ( c @ X2 @ X0 )
=> ( c @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f35]) ).
thf(f57,plain,
( p
= ( ^ [Y0: reg,Y1: reg] :
( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y0 )
=> ( c @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f56]) ).
thf(f58,plain,
( mvalid
@ ( mbox @ a
@ ^ [X0: $i] : ( tpp @ catalunya @ spain ) ) ),
inference(rectify,[],[f46]) ).
thf(f59,plain,
( ( mvalid
@ ( mbox @ a
@ ^ [Y0: $i] : ( tpp @ catalunya @ spain ) ) )
= $true ),
inference(fool_elimination,[],[f58]) ).
thf(f64,plain,
( ( ^ [X0: reg,X1: reg] :
( ( p @ X0 @ X1 )
& ~ ( p @ X1 @ X0 ) ) )
= pp ),
inference(rectify,[],[f40]) ).
thf(f65,plain,
( pp
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( p @ Y1 @ Y0 )
& ( p @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f64]) ).
thf(f70,plain,
( mvalid
@ ( mbox @ a
@ ^ [X0: $i] : ( ntpp @ paris @ france ) ) ),
inference(rectify,[],[f48]) ).
thf(f71,plain,
( $true
= ( mvalid
@ ( mbox @ a
@ ^ [Y0: $i] : ( ntpp @ paris @ france ) ) ) ),
inference(fool_elimination,[],[f70]) ).
thf(f74,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f28]) ).
thf(f75,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f74]) ).
thf(f84,plain,
( ntpp
= ( ^ [X0: reg,X1: reg] :
( ~ ? [X2: reg] :
( ( ec @ X2 @ X1 )
& ( ec @ X2 @ X0 ) )
& ( pp @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f42]) ).
thf(f85,plain,
( ntpp
= ( ^ [Y0: reg,Y1: reg] :
( ( pp @ Y0 @ Y1 )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y0 )
& ( ec @ Y2 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f84]) ).
thf(f88,plain,
~ ( mvalid
@ ( mbox @ a
@ ^ [X0: $i] :
! [X1: reg] :
( ( ( o @ X1 @ catalunya )
| ( o @ X1 @ paris ) )
=> ( ( o @ X1 @ france )
| ( o @ X1 @ spain ) ) ) ) ),
inference(rectify,[],[f50]) ).
thf(f89,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,[],[f88]) ).
thf(f92,plain,
( o
= ( ^ [X0: reg,X1: reg] :
? [X2: reg] :
( ( p @ X2 @ X0 )
& ( p @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f37]) ).
thf(f93,plain,
( o
= ( ^ [Y0: reg,Y1: reg] :
( ?? @ reg
@ ^ [Y2: reg] :
( ( p @ Y2 @ Y1 )
& ( p @ Y2 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f92]) ).
thf(f103,plain,
( ec
= ( ^ [X0: reg,X1: reg] :
( ~ ( o @ X0 @ X1 )
& ( c @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f104,plain,
( ec
= ( ^ [Y0: reg,Y1: reg] :
( ( c @ Y0 @ Y1 )
& ~ ( o @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f103]) ).
thf(f114,plain,
( tpp
= ( ^ [X0: reg,X1: reg] :
( ( pp @ X0 @ X1 )
& ? [X2: reg] :
( ( ec @ X2 @ X0 )
& ( ec @ X2 @ X1 ) ) ) ) ),
inference(rectify,[],[f41]) ).
thf(f115,plain,
( tpp
= ( ^ [Y0: reg,Y1: reg] :
( ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y1 )
& ( ec @ Y2 @ Y0 ) ) )
& ( pp @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f114]) ).
thf(f122,plain,
! [X0: reg,X1: reg] :
( ( c @ X1 @ X0 )
=> ( c @ X0 @ X1 ) ),
inference(rectify,[],[f33]) ).
thf(f123,plain,
! [X0: reg,X1: reg] :
( ( ( c @ X1 @ X0 )
= $true )
=> ( ( c @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f122]) ).
thf(f128,plain,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f16]) ).
thf(f129,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f128]) ).
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,[],[f89]) ).
thf(f139,plain,
! [X1: reg,X0: reg] :
( ( ( c @ X0 @ X1 )
= $true )
| ( ( c @ X1 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f123]) ).
thf(f140,plain,
! [X0: reg,X1: reg] :
( ( ( c @ X1 @ X0 )
= $true )
| ( ( c @ X0 @ X1 )
!= $true ) ),
inference(rectify,[],[f139]) ).
thf(f150,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(f159,plain,
( ( mvalid
@ ( mbox @ a
@ ^ [Y0: $i] : ( tpp @ catalunya @ spain ) ) )
= $true ),
inference(cnf_transformation,[],[f59]) ).
thf(f160,plain,
( $true
= ( mvalid
@ ( mbox @ a
@ ^ [Y0: $i] : ( ntpp @ paris @ france ) ) ) ),
inference(cnf_transformation,[],[f71]) ).
thf(f161,plain,
( p
= ( ^ [Y0: reg,Y1: reg] :
( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y0 )
=> ( c @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f57]) ).
thf(f170,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f75]) ).
thf(f177,plain,
( tpp
= ( ^ [Y0: reg,Y1: reg] :
( ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y1 )
& ( ec @ Y2 @ Y0 ) ) )
& ( pp @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f115]) ).
thf(f178,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f129]) ).
thf(f179,plain,
( pp
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( p @ Y1 @ Y0 )
& ( p @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f65]) ).
thf(f181,plain,
! [X0: reg,X1: reg] :
( ( ( c @ X0 @ X1 )
!= $true )
| ( ( c @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f140]) ).
thf(f185,plain,
( ec
= ( ^ [Y0: reg,Y1: reg] :
( ( c @ Y0 @ Y1 )
& ~ ( o @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f104]) ).
thf(f187,plain,
( ntpp
= ( ^ [Y0: reg,Y1: reg] :
( ( pp @ Y0 @ Y1 )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y0 )
& ( ec @ Y2 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f85]) ).
thf(f189,plain,
( o
= ( ^ [Y0: reg,Y1: reg] :
( ?? @ reg
@ ^ [Y2: reg] :
( ( p @ Y2 @ Y1 )
& ( p @ Y2 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f93]) ).
thf(f202,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,[],[f189,f161,f161]) ).
thf(f204,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,[],[f185,f202]) ).
thf(f205,plain,
( pp
= ( ^ [Y0: reg,Y1: reg] :
( ~ ( ^ [Y2: reg,Y3: reg] :
( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y2 )
=> ( c @ Y4 @ Y3 ) ) )
@ Y1
@ Y0 )
& ( ^ [Y2: reg,Y3: reg] :
( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y2 )
=> ( c @ Y4 @ Y3 ) ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f179,f161,f161]) ).
thf(f206,plain,
( tpp
= ( ^ [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
@ Y1 )
& ( ^ [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 ) ) )
& ( ^ [Y2: reg,Y3: reg] :
( ~ ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f177,f204,f204,f205]) ).
thf(f207,plain,
( ntpp
= ( ^ [Y0: reg,Y1: reg] :
( ( ^ [Y2: reg,Y3: reg] :
( ~ ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y2
@ Y3 ) )
@ 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,[],[f187,f205,f204,f204]) ).
thf(f209,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,[],[f150,f170,f178,f202,f202,f202,f202]) ).
thf(f210,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
@ Y2 )
& ( ^ [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 ) ) )
& ( ^ [Y3: 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 ) ) )
@ Y3
@ Y4 ) )
@ Y1
@ Y2 ) )
@ catalunya
@ spain ) ) ) ),
inference(definition_unfolding,[],[f159,f170,f178,f206]) ).
thf(f211,plain,
( ( ^ [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 ) ) )
@ Y4
@ Y3 )
& ( ^ [Y5: reg,Y6: reg] :
( !! @ reg
@ ^ [Y7: reg] :
( ( c @ Y7 @ Y5 )
=> ( c @ Y7 @ Y6 ) ) )
@ Y3
@ Y4 ) )
@ 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 ) ) ) )
@ paris
@ france ) ) )
= $true ),
inference(definition_unfolding,[],[f160,f170,f178,f207]) ).
thf(f215,definition,
( sF0
= ( !! @ reg
@ ^ [Y0: reg] :
( ( ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ paris )
| ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ catalunya ) )
=> ( ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ spain )
| ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ france ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f216,plain,
( ( !! @ reg
@ ^ [Y0: reg] :
( ( ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ paris )
| ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ catalunya ) )
=> ( ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ spain )
| ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ france ) ) ) )
= sF0 ),
inference(reorient_equations,[],[f215]) ).
thf(f217,definition,
( sF1
= ( ^ [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] : sF0 ) ) ),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
thf(f218,plain,
( ( ^ [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] : sF0 ) )
= sF1 ),
inference(reorient_equations,[],[f217]) ).
thf(f219,plain,
$true != sF1,
inference(definition_folding,[],[f209,f218,f216]) ).
thf(f244,plain,
( ( $true = sF1 )
| ( ( ^ [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] : sF0 ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f218]) ).
thf(f245,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( sF0
| ~ ( a @ Y0 @ Y1 ) ) ) )
= $false )
| ( $true = sF1 ) ),
inference(beta-eta_normalization,[],[f244]) ).
thf(f246,plain,
( ( $true = sF1 )
| ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( sF0
| ~ ( a @ Y0 @ Y1 ) ) )
@ sK3 ) ) ),
inference(sigma_proxy_clausification,[],[f245]) ).
thf(f247,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( sF0
| ~ ( a @ sK3 @ Y0 ) ) ) )
| ( $true = sF1 ) ),
inference(beta-eta_normalization,[],[f246]) ).
thf(f248,plain,
( ( $false
= ( ^ [Y0: $i] :
( sF0
| ~ ( a @ sK3 @ Y0 ) )
@ sK4 ) )
| ( $true = sF1 ) ),
inference(sigma_proxy_clausification,[],[f247]) ).
thf(f249,plain,
( ( $true = sF1 )
| ( ( sF0
| ~ ( a @ sK3 @ sK4 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f248]) ).
thf(f250,plain,
( ( ( ~ ( a @ sK3 @ sK4 ) )
= $false )
| ( $true = sF1 ) ),
inference(or_proxy_clausification,[],[f249]) ).
thf(f251,plain,
( ( $true = sF1 )
| ( $false = sF0 ) ),
inference(or_proxy_clausification,[],[f249]) ).
thf(f252,plain,
( ( $true = sF1 )
| ( $true
= ( a @ sK3 @ sK4 ) ) ),
inference(not_proxy_clausification,[],[f250]) ).
thf(f261,plain,
( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ paris )
| ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ catalunya ) )
=> ( ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ spain )
| ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ france ) ) ) )
= $false )
| ( $true = sF0 ) ),
inference(iff_proxy_clausification,[],[f216]) ).
thf(f262,plain,
( ( $true = sF0 )
| ( $false
= ( ^ [Y0: reg] :
( ( ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ paris )
| ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ catalunya ) )
=> ( ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ spain )
| ( ^ [Y1: reg,Y2: reg] :
( ?? @ reg
@ ^ [Y3: reg] :
( ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y2 )
& ( ^ [Y4: reg,Y5: reg] :
( !! @ reg
@ ^ [Y6: reg] :
( ( c @ Y6 @ Y4 )
=> ( c @ Y6 @ Y5 ) ) )
@ Y3
@ Y1 ) ) )
@ Y0
@ france ) ) )
@ sK5 ) ) ),
inference(sigma_proxy_clausification,[],[f261]) ).
thf(f263,plain,
( ( $true = sF0 )
| ( ( ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) )
| ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) ) )
=> ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) )
| ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f262]) ).
thf(f264,plain,
( ( $false
= ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) )
| ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) ) ) )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f263]) ).
thf(f265,plain,
( ( $true = sF0 )
| ( $true
= ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) )
| ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f263]) ).
thf(f266,plain,
( ( $true = sF0 )
| ( $true
= ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) ) )
| ( $true
= ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f265]) ).
thf(f267,plain,
( ( $true
= ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) )
@ sK6 ) )
| ( $true
= ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) ) )
| ( $true = sF0 ) ),
inference(sigma_proxy_clausification,[],[f266]) ).
thf(f268,plain,
( ( $true = sF0 )
| ( $true
= ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) )
@ sK6 ) )
| ( $true
= ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ paris ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) )
@ sK7 ) ) ),
inference(sigma_proxy_clausification,[],[f267]) ).
thf(f269,plain,
( ( $true = sF0 )
| ( $true
= ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ sK5 ) ) ) ) )
| ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ paris ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ sK5 ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f268]) ).
thf(f270,plain,
( ( $true = sF0 )
| ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ paris ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ sK5 ) ) ) )
= $true )
| ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ sK5 ) ) ) ) ),
inference(and_proxy_clausification,[],[f269]) ).
thf(f271,plain,
( ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ catalunya ) ) ) )
| ( $true = sF0 )
| ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ paris ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ sK5 ) ) ) )
= $true ) ),
inference(and_proxy_clausification,[],[f269]) ).
thf(f272,plain,
! [X1: reg] :
( ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ paris ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ sK5 ) ) ) )
= $true )
| ( $true = sF0 )
| ( ( ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ catalunya ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f271]) ).
thf(f273,plain,
! [X1: reg] :
( ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ sK5 ) ) ) )
| ( $true = sF0 )
| ( ( ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ catalunya ) )
@ X1 )
= $true ) ),
inference(and_proxy_clausification,[],[f272]) ).
thf(f274,plain,
! [X1: reg] :
( ( $true = sF0 )
| ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ paris ) ) ) )
| ( ( ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ catalunya ) )
@ X1 )
= $true ) ),
inference(and_proxy_clausification,[],[f272]) ).
thf(f275,plain,
! [X2: reg,X1: reg] :
( ( $true = sF0 )
| ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ paris ) )
@ X2 ) )
| ( ( ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ catalunya ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f274]) ).
thf(f276,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( ( c @ X1 @ sK6 )
=> ( c @ X1 @ catalunya ) ) )
| ( $true = sF0 )
| ( $true
= ( ( c @ X2 @ sK7 )
=> ( c @ X2 @ paris ) ) ) ),
inference(beta-eta_normalization,[],[f275]) ).
thf(f277,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( c @ X1 @ sK6 ) )
| ( ( c @ X1 @ catalunya )
= $true )
| ( $true
= ( ( c @ X2 @ sK7 )
=> ( c @ X2 @ paris ) ) )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f276]) ).
thf(f278,plain,
! [X2: reg,X1: reg] :
( ( $true = sF0 )
| ( $true
= ( c @ X2 @ paris ) )
| ( $false
= ( c @ X2 @ sK7 ) )
| ( $false
= ( c @ X1 @ sK6 ) )
| ( ( c @ X1 @ catalunya )
= $true ) ),
inference(imp_proxy_clausification,[],[f277]) ).
thf(f279,plain,
! [X2: reg,X1: reg] :
( ( ( ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ catalunya ) )
@ X1 )
= $true )
| ( $true = sF0 )
| ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ sK5 ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f273]) ).
thf(f280,plain,
! [X2: reg,X1: reg] :
( ( $true = sF0 )
| ( $true
= ( ( c @ X2 @ sK7 )
=> ( c @ X2 @ sK5 ) ) )
| ( $true
= ( ( c @ X1 @ sK6 )
=> ( c @ X1 @ catalunya ) ) ) ),
inference(beta-eta_normalization,[],[f279]) ).
thf(f281,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( c @ X2 @ sK5 ) )
| ( $true = sF0 )
| ( $false
= ( c @ X2 @ sK7 ) )
| ( $true
= ( ( c @ X1 @ sK6 )
=> ( c @ X1 @ catalunya ) ) ) ),
inference(imp_proxy_clausification,[],[f280]) ).
thf(f282,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( c @ X2 @ sK7 ) )
| ( $true
= ( c @ X2 @ sK5 ) )
| ( ( c @ X1 @ catalunya )
= $true )
| ( $false
= ( c @ X1 @ sK6 ) )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f281]) ).
thf(f283,plain,
( ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ sK5 ) ) ) )
| ( $true = sF0 )
| ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ sK5 ) ) ) ) ),
inference(and_proxy_clausification,[],[f270]) ).
thf(f284,plain,
( ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ paris ) ) ) )
| ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ sK5 ) ) ) )
| ( $true = sF0 ) ),
inference(and_proxy_clausification,[],[f270]) ).
thf(f285,plain,
! [X1: reg] :
( ( $true = sF0 )
| ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ paris ) )
@ X1 ) )
| ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ sK5 ) ) ) ) ),
inference(pi_proxy_clausification,[],[f284]) ).
thf(f286,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ paris ) )
@ X1 ) )
| ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ sK5 ) )
@ X2 ) )
| ( $true = sF0 ) ),
inference(pi_proxy_clausification,[],[f285]) ).
thf(f287,plain,
! [X2: reg,X1: reg] :
( ( $true = sF0 )
| ( $true
= ( ( c @ X2 @ sK6 )
=> ( c @ X2 @ sK5 ) ) )
| ( $true
= ( ( c @ X1 @ sK7 )
=> ( c @ X1 @ paris ) ) ) ),
inference(beta-eta_normalization,[],[f286]) ).
thf(f288,plain,
! [X2: reg,X1: reg] :
( ( $true = sF0 )
| ( $true
= ( c @ X2 @ sK5 ) )
| ( ( c @ X2 @ sK6 )
= $false )
| ( $true
= ( ( c @ X1 @ sK7 )
=> ( c @ X1 @ paris ) ) ) ),
inference(imp_proxy_clausification,[],[f287]) ).
thf(f289,plain,
! [X2: reg,X1: reg] :
( ( ( c @ X1 @ paris )
= $true )
| ( $false
= ( c @ X1 @ sK7 ) )
| ( ( c @ X2 @ sK6 )
= $false )
| ( $true = sF0 )
| ( $true
= ( c @ X2 @ sK5 ) ) ),
inference(imp_proxy_clausification,[],[f288]) ).
thf(f290,plain,
! [X1: reg] :
( ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ sK5 ) )
@ X1 ) )
| ( $true = sF0 )
| ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ sK5 ) ) ) ) ),
inference(pi_proxy_clausification,[],[f283]) ).
thf(f291,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ sK7 )
=> ( c @ Y0 @ sK5 ) )
@ X2 ) )
| ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ sK6 )
=> ( c @ Y0 @ sK5 ) )
@ X1 ) )
| ( $true = sF0 ) ),
inference(pi_proxy_clausification,[],[f290]) ).
thf(f292,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( ( c @ X2 @ sK7 )
=> ( c @ X2 @ sK5 ) ) )
| ( $true = sF0 )
| ( ( ( c @ X1 @ sK6 )
=> ( c @ X1 @ sK5 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f291]) ).
thf(f293,plain,
! [X2: reg,X1: reg] :
( ( ( ( c @ X1 @ sK6 )
=> ( c @ X1 @ sK5 ) )
= $true )
| ( $true = sF0 )
| ( $true
= ( c @ X2 @ sK5 ) )
| ( $false
= ( c @ X2 @ sK7 ) ) ),
inference(imp_proxy_clausification,[],[f292]) ).
thf(f294,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( c @ X2 @ sK7 ) )
| ( $true
= ( c @ X2 @ sK5 ) )
| ( ( c @ X1 @ sK5 )
= $true )
| ( $true = sF0 )
| ( $false
= ( c @ X1 @ sK6 ) ) ),
inference(imp_proxy_clausification,[],[f293]) ).
thf(f295,plain,
( ( $false
= ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) ) )
| ( $true = sF0 ) ),
inference(or_proxy_clausification,[],[f264]) ).
thf(f296,plain,
( ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) ) )
= $false )
| ( $true = sF0 ) ),
inference(or_proxy_clausification,[],[f264]) ).
thf(f297,plain,
! [X1: reg] :
( ( $true = sF0 )
| ( $false
= ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ spain ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f296]) ).
thf(f298,plain,
! [X1: reg] :
( ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ spain ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK5 ) ) ) )
= $false )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f297]) ).
thf(f299,plain,
! [X1: reg] :
( ( $true = sF0 )
| ( $false
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ spain ) ) ) )
| ( $false
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK5 ) ) ) ) ),
inference(and_proxy_clausification,[],[f298]) ).
thf(f300,plain,
! [X1: reg] :
( ( $false
= ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ spain ) )
@ ( sK8 @ X1 ) ) )
| ( $true = sF0 )
| ( $false
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK5 ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f299]) ).
thf(f301,plain,
! [X1: reg] :
( ( $true = sF0 )
| ( $false
= ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK5 ) )
@ ( sK9 @ X1 ) ) )
| ( $false
= ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ spain ) )
@ ( sK8 @ X1 ) ) ) ),
inference(sigma_proxy_clausification,[],[f300]) ).
thf(f302,plain,
! [X1: reg] :
( ( $true = sF0 )
| ( ( ( c @ ( sK9 @ X1 ) @ X1 )
=> ( c @ ( sK9 @ X1 ) @ sK5 ) )
= $false )
| ( $false
= ( ( c @ ( sK8 @ X1 ) @ X1 )
=> ( c @ ( sK8 @ X1 ) @ spain ) ) ) ),
inference(beta-eta_normalization,[],[f301]) ).
thf(f303,plain,
! [X1: reg] :
( ( $false
= ( ( c @ ( sK8 @ X1 ) @ X1 )
=> ( c @ ( sK8 @ X1 ) @ spain ) ) )
| ( $false
= ( c @ ( sK9 @ X1 ) @ sK5 ) )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f302]) ).
thf(f304,plain,
! [X1: reg] :
( ( $false
= ( ( c @ ( sK8 @ X1 ) @ X1 )
=> ( c @ ( sK8 @ X1 ) @ spain ) ) )
| ( $true = sF0 )
| ( $true
= ( c @ ( sK9 @ X1 ) @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f302]) ).
thf(f305,plain,
! [X1: reg] :
( ( $true = sF0 )
| ( $true
= ( c @ ( sK9 @ X1 ) @ X1 ) )
| ( $false
= ( c @ ( sK8 @ X1 ) @ spain ) ) ),
inference(imp_proxy_clausification,[],[f304]) ).
thf(f306,plain,
! [X1: reg] :
( ( $true
= ( c @ ( sK9 @ X1 ) @ X1 ) )
| ( $true = sF0 )
| ( $true
= ( c @ ( sK8 @ X1 ) @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f304]) ).
thf(f307,plain,
! [X1: reg] :
( ( $false
= ( c @ ( sK8 @ X1 ) @ spain ) )
| ( $true = sF0 )
| ( $false
= ( c @ ( sK9 @ X1 ) @ sK5 ) ) ),
inference(imp_proxy_clausification,[],[f303]) ).
thf(f308,plain,
! [X1: reg] :
( ( $true
= ( c @ ( sK8 @ X1 ) @ X1 ) )
| ( $false
= ( c @ ( sK9 @ X1 ) @ sK5 ) )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f303]) ).
thf(f309,plain,
! [X1: reg] :
( ( $true = sF0 )
| ( $false
= ( ^ [Y0: reg] :
( ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ france ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ Y0 )
=> ( c @ Y1 @ sK5 ) ) ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f295]) ).
thf(f310,plain,
! [X1: reg] :
( ( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ france ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK5 ) ) ) )
= $false )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f309]) ).
thf(f311,plain,
! [X1: reg] :
( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ france ) ) )
= $false )
| ( $false
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK5 ) ) ) )
| ( $true = sF0 ) ),
inference(and_proxy_clausification,[],[f310]) ).
thf(f312,plain,
! [X1: reg] :
( ( $false
= ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ france ) )
@ ( sK10 @ X1 ) ) )
| ( $true = sF0 )
| ( $false
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK5 ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f311]) ).
thf(f313,plain,
! [X1: reg] :
( ( $false
= ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ france ) )
@ ( sK10 @ X1 ) ) )
| ( $true = sF0 )
| ( $false
= ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ sK5 ) )
@ ( sK11 @ X1 ) ) ) ),
inference(sigma_proxy_clausification,[],[f312]) ).
thf(f314,plain,
! [X1: reg] :
( ( ( ( c @ ( sK10 @ X1 ) @ X1 )
=> ( c @ ( sK10 @ X1 ) @ france ) )
= $false )
| ( $true = sF0 )
| ( $false
= ( ( c @ ( sK11 @ X1 ) @ X1 )
=> ( c @ ( sK11 @ X1 ) @ sK5 ) ) ) ),
inference(beta-eta_normalization,[],[f313]) ).
thf(f315,plain,
! [X1: reg] :
( ( ( c @ ( sK10 @ X1 ) @ france )
= $false )
| ( $false
= ( ( c @ ( sK11 @ X1 ) @ X1 )
=> ( c @ ( sK11 @ X1 ) @ sK5 ) ) )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f314]) ).
thf(f316,plain,
! [X1: reg] :
( ( $true = sF0 )
| ( $false
= ( ( c @ ( sK11 @ X1 ) @ X1 )
=> ( c @ ( sK11 @ X1 ) @ sK5 ) ) )
| ( $true
= ( c @ ( sK10 @ X1 ) @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f314]) ).
thf(f317,plain,
! [X1: reg] :
( ( $true = sF0 )
| ( $false
= ( c @ ( sK11 @ X1 ) @ sK5 ) )
| ( $true
= ( c @ ( sK10 @ X1 ) @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f316]) ).
thf(f318,plain,
! [X1: reg] :
( ( $true
= ( c @ ( sK10 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK11 @ X1 ) @ X1 ) )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f316]) ).
thf(f319,plain,
! [X1: reg] :
( ( $false
= ( c @ ( sK11 @ X1 ) @ sK5 ) )
| ( ( c @ ( sK10 @ X1 ) @ france )
= $false )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f315]) ).
thf(f320,plain,
! [X1: reg] :
( ( $true = sF0 )
| ( $true
= ( c @ ( sK11 @ X1 ) @ X1 ) )
| ( ( c @ ( sK10 @ X1 ) @ france )
= $false ) ),
inference(imp_proxy_clausification,[],[f315]) ).
thf(f474,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ~ ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ france )
=> ( c @ Y2 @ paris ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ paris )
=> ( c @ Y2 @ france ) ) )
& ~ ( ?? @ 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 ) ) ) ) ) ) ) )
| ~ ( a @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f211]) ).
thf(f475,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ~ ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ france )
=> ( c @ Y2 @ paris ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ paris )
=> ( c @ Y2 @ france ) ) )
& ~ ( ?? @ 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 ) ) ) ) ) ) ) )
| ~ ( a @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f474]) ).
thf(f476,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ~ ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ france )
=> ( c @ Y1 @ paris ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ paris )
=> ( c @ Y1 @ france ) ) )
& ~ ( ?? @ 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 ) ) ) ) ) ) ) )
| ~ ( a @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f475]) ).
thf(f477,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ~ ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ france )
=> ( c @ Y1 @ paris ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ paris )
=> ( c @ Y1 @ france ) ) )
& ~ ( ?? @ 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 ) ) ) ) ) ) ) )
| ~ ( a @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f476]) ).
thf(f478,plain,
! [X2: $i,X1: $i] :
( ( ( ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ france )
=> ( c @ Y0 @ paris ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) )
& ~ ( ?? @ 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 ) ) ) ) ) ) ) )
| ~ ( a @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f477]) ).
thf(f479,plain,
! [X2: $i,X1: $i] :
( ( ( ~ ( a @ X1 @ X2 ) )
= $true )
| ( $true
= ( ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ france )
=> ( c @ Y0 @ paris ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) )
& ~ ( ?? @ 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 ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f478]) ).
thf(f480,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ france )
=> ( c @ Y0 @ paris ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) )
& ~ ( ?? @ 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 ) ) ) ) ) ) ) ) )
| ( $false
= ( a @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f479]) ).
thf(f482,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ france )
=> ( c @ Y0 @ paris ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) ) ) )
| ( $false
= ( a @ X1 @ X2 ) ) ),
inference(and_proxy_clausification,[],[f480]) ).
thf(f483,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( a @ X1 @ X2 ) )
| ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) ) ) ) ),
inference(and_proxy_clausification,[],[f482]) ).
thf(f490,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( $false
= ( a @ X1 @ X2 ) )
| ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ paris )
=> ( c @ Y0 @ france ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f483]) ).
thf(f491,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( $false
= ( a @ X1 @ X2 ) )
| ( $true
= ( ( c @ X3 @ paris )
=> ( c @ X3 @ france ) ) ) ),
inference(beta-eta_normalization,[],[f490]) ).
thf(f492,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( $false
= ( a @ X1 @ X2 ) )
| ( $true
= ( c @ X3 @ france ) )
| ( $false
= ( c @ X3 @ paris ) ) ),
inference(imp_proxy_clausification,[],[f491]) ).
thf(f530,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( ?? @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ spain )
& ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ spain ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) )
& ( c @ Y2 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) ) ) )
& ~ ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ spain )
=> ( c @ Y2 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ catalunya )
=> ( c @ Y2 @ spain ) ) ) )
| ~ ( a @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f210]) ).
thf(f531,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( ?? @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ spain )
& ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ spain ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) )
& ( c @ Y2 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y3: reg] :
( ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y4: reg] :
( ( c @ Y4 @ Y3 )
=> ( c @ Y4 @ Y2 ) ) ) ) ) ) )
& ~ ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ spain )
=> ( c @ Y2 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ catalunya )
=> ( c @ Y2 @ spain ) ) ) )
| ~ ( a @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f530]) ).
thf(f532,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( ?? @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ spain )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ spain ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) )
& ( c @ Y1 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) ) ) )
& ~ ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ spain )
=> ( c @ Y1 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ catalunya )
=> ( c @ Y1 @ spain ) ) ) )
| ~ ( a @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f531]) ).
thf(f533,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( ?? @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ spain )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ spain ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) )
& ( c @ Y1 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y3: reg] :
( ( c @ Y3 @ Y2 )
=> ( c @ Y3 @ Y1 ) ) ) ) ) ) )
& ~ ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ spain )
=> ( c @ Y1 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ catalunya )
=> ( c @ Y1 @ spain ) ) ) )
| ~ ( a @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f532]) ).
thf(f534,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ spain ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( c @ Y0 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) ) )
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
=> ( c @ Y0 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) ) )
| ~ ( a @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f533]) ).
thf(f535,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( ?? @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ spain ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) )
& ( c @ Y0 @ catalunya )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y1 )
=> ( c @ Y2 @ Y0 ) ) ) ) ) ) )
& ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
=> ( c @ Y0 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) ) ) )
| ( ( ~ ( a @ X1 @ X2 ) )
= $true ) ),
inference(or_proxy_clausification,[],[f534]) ).
thf(f536,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ~ ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ spain )
=> ( c @ Y0 @ catalunya ) ) )
& ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) ) ) )
| ( ( ~ ( a @ X1 @ X2 ) )
= $true ) ),
inference(and_proxy_clausification,[],[f535]) ).
thf(f573,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) ) ) )
| ( ( ~ ( a @ X1 @ X2 ) )
= $true ) ),
inference(and_proxy_clausification,[],[f536]) ).
thf(f581,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( ( ~ ( a @ X1 @ X2 ) )
= $true )
| ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f573]) ).
thf(f582,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ catalunya )
=> ( c @ Y0 @ spain ) )
@ X3 ) )
| ( $false
= ( a @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f581]) ).
thf(f583,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( ( ( c @ X3 @ catalunya )
=> ( c @ X3 @ spain ) )
= $true )
| ( $false
= ( a @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f582]) ).
thf(f584,plain,
! [X2: $i,X3: reg,X1: $i] :
( ( $false
= ( a @ X1 @ X2 ) )
| ( $false
= ( c @ X3 @ catalunya ) )
| ( ( c @ X3 @ spain )
= $true ) ),
inference(imp_proxy_clausification,[],[f583]) ).
thf(f637,definition,
( spl44_1
<=> ( $false = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl44_1])],[avatar_definition]) ).
thf(f639,plain,
( ( $false = sF0 )
| ~ spl44_1 ),
inference(avatar_component_clause,[],[f637]) ).
thf(f641,definition,
( spl44_2
<=> ( $true = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl44_2])],[avatar_definition]) ).
thf(f644,plain,
( spl44_1
| spl44_2 ),
inference(avatar_split_clause,[],[f251,f641,f637]) ).
thf(f646,definition,
( spl44_3
<=> ( $true
= ( a @ sK3 @ sK4 ) ) ),
introduced(definition,[new_symbols(definition,[spl44_3])],[avatar_definition]) ).
thf(f648,plain,
( ( $true
= ( a @ sK3 @ sK4 ) )
| ~ spl44_3 ),
inference(avatar_component_clause,[],[f646]) ).
thf(f649,plain,
( spl44_2
| spl44_3 ),
inference(avatar_split_clause,[],[f252,f646,f641]) ).
thf(f655,definition,
( spl44_5
<=> ( $true = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl44_5])],[avatar_definition]) ).
thf(f657,plain,
( ( $true = sF0 )
| ~ spl44_5 ),
inference(avatar_component_clause,[],[f655]) ).
thf(f659,definition,
( spl44_6
<=> ! [X2: $i,X1: $i] :
( $false
= ( a @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl44_6])],[avatar_definition]) ).
thf(f660,plain,
( ! [X2: $i,X1: $i] :
( $false
= ( a @ X1 @ X2 ) )
| ~ spl44_6 ),
inference(avatar_component_clause,[],[f659]) ).
thf(f663,definition,
( spl44_7
<=> ! [X1: reg] :
( ( $false
= ( c @ X1 @ sK6 ) )
| ( ( c @ X1 @ catalunya )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl44_7])],[avatar_definition]) ).
thf(f664,plain,
( ! [X1: reg] :
( ( $false
= ( c @ X1 @ sK6 ) )
| ( ( c @ X1 @ catalunya )
= $true ) )
| ~ spl44_7 ),
inference(avatar_component_clause,[],[f663]) ).
thf(f666,definition,
( spl44_8
<=> ! [X2: reg] :
( ( $true
= ( c @ X2 @ paris ) )
| ( $false
= ( c @ X2 @ sK7 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl44_8])],[avatar_definition]) ).
thf(f667,plain,
( ! [X2: reg] :
( ( $true
= ( c @ X2 @ paris ) )
| ( $false
= ( c @ X2 @ sK7 ) ) )
| ~ spl44_8 ),
inference(avatar_component_clause,[],[f666]) ).
thf(f668,plain,
( spl44_7
| spl44_8
| spl44_5 ),
inference(avatar_split_clause,[],[f278,f655,f666,f663]) ).
thf(f670,definition,
( spl44_9
<=> ! [X2: reg] :
( ( $false
= ( c @ X2 @ sK7 ) )
| ( $true
= ( c @ X2 @ sK5 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl44_9])],[avatar_definition]) ).
thf(f671,plain,
( ! [X2: reg] :
( ( $true
= ( c @ X2 @ sK5 ) )
| ( $false
= ( c @ X2 @ sK7 ) ) )
| ~ spl44_9 ),
inference(avatar_component_clause,[],[f670]) ).
thf(f672,plain,
( spl44_7
| spl44_5
| spl44_9 ),
inference(avatar_split_clause,[],[f282,f670,f655,f663]) ).
thf(f674,definition,
( spl44_10
<=> ! [X2: reg] :
( ( ( c @ X2 @ sK6 )
= $false )
| ( $true
= ( c @ X2 @ sK5 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl44_10])],[avatar_definition]) ).
thf(f675,plain,
( ! [X2: reg] :
( ( $true
= ( c @ X2 @ sK5 ) )
| ( ( c @ X2 @ sK6 )
= $false ) )
| ~ spl44_10 ),
inference(avatar_component_clause,[],[f674]) ).
thf(f676,plain,
( spl44_10
| spl44_5
| spl44_8 ),
inference(avatar_split_clause,[],[f289,f666,f655,f674]) ).
thf(f677,plain,
( spl44_5
| spl44_9
| spl44_10 ),
inference(avatar_split_clause,[],[f294,f674,f670,f655]) ).
thf(f679,definition,
( spl44_11
<=> ! [X1: reg] :
( ( $true
= ( c @ ( sK9 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK8 @ X1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl44_11])],[avatar_definition]) ).
thf(f680,plain,
( ! [X1: reg] :
( ( $true
= ( c @ ( sK9 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK8 @ X1 ) @ X1 ) ) )
| ~ spl44_11 ),
inference(avatar_component_clause,[],[f679]) ).
thf(f681,plain,
( spl44_5
| spl44_11 ),
inference(avatar_split_clause,[],[f306,f679,f655]) ).
thf(f683,definition,
( spl44_12
<=> ! [X1: reg] :
( ( $true
= ( c @ ( sK9 @ X1 ) @ X1 ) )
| ( $false
= ( c @ ( sK8 @ X1 ) @ spain ) ) ) ),
introduced(definition,[new_symbols(definition,[spl44_12])],[avatar_definition]) ).
thf(f684,plain,
( ! [X1: reg] :
( ( $true
= ( c @ ( sK9 @ X1 ) @ X1 ) )
| ( $false
= ( c @ ( sK8 @ X1 ) @ spain ) ) )
| ~ spl44_12 ),
inference(avatar_component_clause,[],[f683]) ).
thf(f685,plain,
( spl44_12
| spl44_5 ),
inference(avatar_split_clause,[],[f305,f655,f683]) ).
thf(f687,definition,
( spl44_13
<=> ! [X1: reg] :
( ( $true
= ( c @ ( sK8 @ X1 ) @ X1 ) )
| ( $false
= ( c @ ( sK9 @ X1 ) @ sK5 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl44_13])],[avatar_definition]) ).
thf(f688,plain,
( ! [X1: reg] :
( ( $true
= ( c @ ( sK8 @ X1 ) @ X1 ) )
| ( $false
= ( c @ ( sK9 @ X1 ) @ sK5 ) ) )
| ~ spl44_13 ),
inference(avatar_component_clause,[],[f687]) ).
thf(f689,plain,
( spl44_5
| spl44_13 ),
inference(avatar_split_clause,[],[f308,f687,f655]) ).
thf(f691,definition,
( spl44_14
<=> ! [X1: reg] :
( ( $false
= ( c @ ( sK8 @ X1 ) @ spain ) )
| ( $false
= ( c @ ( sK9 @ X1 ) @ sK5 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl44_14])],[avatar_definition]) ).
thf(f692,plain,
( ! [X1: reg] :
( ( $false
= ( c @ ( sK9 @ X1 ) @ sK5 ) )
| ( $false
= ( c @ ( sK8 @ X1 ) @ spain ) ) )
| ~ spl44_14 ),
inference(avatar_component_clause,[],[f691]) ).
thf(f693,plain,
( spl44_14
| spl44_5 ),
inference(avatar_split_clause,[],[f307,f655,f691]) ).
thf(f695,definition,
( spl44_15
<=> ! [X1: reg] :
( ( $true
= ( c @ ( sK10 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK11 @ X1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl44_15])],[avatar_definition]) ).
thf(f696,plain,
( ! [X1: reg] :
( ( $true
= ( c @ ( sK11 @ X1 ) @ X1 ) )
| ( $true
= ( c @ ( sK10 @ X1 ) @ X1 ) ) )
| ~ spl44_15 ),
inference(avatar_component_clause,[],[f695]) ).
thf(f697,plain,
( spl44_5
| spl44_15 ),
inference(avatar_split_clause,[],[f318,f695,f655]) ).
thf(f699,definition,
( spl44_16
<=> ! [X1: reg] :
( ( $false
= ( c @ ( sK11 @ X1 ) @ sK5 ) )
| ( $true
= ( c @ ( sK10 @ X1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl44_16])],[avatar_definition]) ).
thf(f700,plain,
( ! [X1: reg] :
( ( $true
= ( c @ ( sK10 @ X1 ) @ X1 ) )
| ( $false
= ( c @ ( sK11 @ X1 ) @ sK5 ) ) )
| ~ spl44_16 ),
inference(avatar_component_clause,[],[f699]) ).
thf(f701,plain,
( spl44_16
| spl44_5 ),
inference(avatar_split_clause,[],[f317,f655,f699]) ).
thf(f703,definition,
( spl44_17
<=> ! [X1: reg] :
( ( $true
= ( c @ ( sK11 @ X1 ) @ X1 ) )
| ( ( c @ ( sK10 @ X1 ) @ france )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl44_17])],[avatar_definition]) ).
thf(f704,plain,
( ! [X1: reg] :
( ( $true
= ( c @ ( sK11 @ X1 ) @ X1 ) )
| ( ( c @ ( sK10 @ X1 ) @ france )
= $false ) )
| ~ spl44_17 ),
inference(avatar_component_clause,[],[f703]) ).
thf(f705,plain,
( spl44_5
| spl44_17 ),
inference(avatar_split_clause,[],[f320,f703,f655]) ).
thf(f707,definition,
( spl44_18
<=> ! [X1: reg] :
( ( $false
= ( c @ ( sK11 @ X1 ) @ sK5 ) )
| ( ( c @ ( sK10 @ X1 ) @ france )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl44_18])],[avatar_definition]) ).
thf(f708,plain,
( ! [X1: reg] :
( ( $false
= ( c @ ( sK11 @ X1 ) @ sK5 ) )
| ( ( c @ ( sK10 @ X1 ) @ france )
= $false ) )
| ~ spl44_18 ),
inference(avatar_component_clause,[],[f707]) ).
thf(f709,plain,
( spl44_5
| spl44_18 ),
inference(avatar_split_clause,[],[f319,f707,f655]) ).
thf(f849,definition,
( spl44_53
<=> ! [X3: reg] :
( ( $true
= ( c @ X3 @ france ) )
| ( $false
= ( c @ X3 @ paris ) ) ) ),
introduced(definition,[new_symbols(definition,[spl44_53])],[avatar_definition]) ).
thf(f850,plain,
( ! [X3: reg] :
( ( $true
= ( c @ X3 @ france ) )
| ( $false
= ( c @ X3 @ paris ) ) )
| ~ spl44_53 ),
inference(avatar_component_clause,[],[f849]) ).
thf(f851,plain,
( spl44_53
| spl44_6 ),
inference(avatar_split_clause,[],[f492,f659,f849]) ).
thf(f921,definition,
( spl44_70
<=> ! [X3: reg] :
( ( $false
= ( c @ X3 @ catalunya ) )
| ( ( c @ X3 @ spain )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl44_70])],[avatar_definition]) ).
thf(f922,plain,
( ! [X3: reg] :
( ( $false
= ( c @ X3 @ catalunya ) )
| ( ( c @ X3 @ spain )
= $true ) )
| ~ spl44_70 ),
inference(avatar_component_clause,[],[f921]) ).
thf(f923,plain,
( spl44_6
| spl44_70 ),
inference(avatar_split_clause,[],[f584,f921,f659]) ).
thf(f948,plain,
~ spl44_2,
inference(avatar_split_clause,[],[f219,f641]) ).
thf(f949,plain,
( ( $true = $false )
| ~ spl44_1
| ~ spl44_5 ),
inference(superposition,[],[f639,f657]) ).
thf(f953,plain,
( $false
| ~ spl44_1
| ~ spl44_5 ),
inference(trivial_inequality_removal,[],[f949]) ).
thf(f954,plain,
( ~ spl44_1
| ~ spl44_5 ),
inference(avatar_contradiction_clause,[],[f953]) ).
thf(f956,plain,
( ( $true = $false )
| ~ spl44_3
| ~ spl44_6 ),
inference(forward_demodulation,[],[f648,f660]) ).
thf(f957,plain,
( $false
| ~ spl44_3
| ~ spl44_6 ),
inference(trivial_inequality_removal,[],[f956]) ).
thf(f958,plain,
( ~ spl44_3
| ~ spl44_6 ),
inference(avatar_contradiction_clause,[],[f957]) ).
thf(f1025,plain,
( ! [X0: reg] :
( ( ( c @ sK5 @ X0 )
= $true )
| ( $true != $true )
| ( $false
= ( c @ X0 @ sK7 ) ) )
| ~ spl44_9 ),
inference(superposition,[],[f181,f671]) ).
thf(f1026,plain,
( ! [X0: reg] :
( ( $false
= ( c @ X0 @ sK7 ) )
| ( ( c @ sK5 @ X0 )
= $true ) )
| ~ spl44_9 ),
inference(trivial_inequality_removal,[],[f1025]) ).
thf(f1679,definition,
( spl44_98
<=> ( $true
= ( c @ ( sK8 @ sK6 ) @ sK6 ) ) ),
introduced(definition,[new_symbols(definition,[spl44_98])],[avatar_definition]) ).
thf(f1681,plain,
( ( $true
= ( c @ ( sK8 @ sK6 ) @ sK6 ) )
| ~ spl44_98 ),
inference(avatar_component_clause,[],[f1679]) ).
thf(f2605,definition,
( spl44_120
<=> ( ( c @ ( sK9 @ sK6 ) @ sK5 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl44_120])],[avatar_definition]) ).
thf(f2606,plain,
( ( ( c @ ( sK9 @ sK6 ) @ sK5 )
!= $false )
| spl44_120 ),
inference(avatar_component_clause,[],[f2605]) ).
thf(f2607,plain,
( ( ( c @ ( sK9 @ sK6 ) @ sK5 )
= $false )
| ~ spl44_120 ),
inference(avatar_component_clause,[],[f2605]) ).
thf(f2609,definition,
( spl44_121
<=> ( ( c @ ( sK8 @ sK6 ) @ catalunya )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl44_121])],[avatar_definition]) ).
thf(f2611,plain,
( ( ( c @ ( sK8 @ sK6 ) @ catalunya )
= $true )
| ~ spl44_121 ),
inference(avatar_component_clause,[],[f2609]) ).
thf(f2626,plain,
( ( $true = $false )
| ( ( c @ ( sK9 @ sK6 ) @ sK6 )
= $false )
| ~ spl44_10
| ~ spl44_120 ),
inference(superposition,[],[f675,f2607]) ).
thf(f2629,plain,
( ( ( c @ ( sK9 @ sK6 ) @ sK6 )
= $false )
| ~ spl44_10
| ~ spl44_120 ),
inference(trivial_inequality_removal,[],[f2626]) ).
thf(f2635,plain,
( ( $true = $false )
| ( $false
= ( c @ ( sK8 @ sK6 ) @ spain ) )
| ~ spl44_10
| ~ spl44_12
| ~ spl44_120 ),
inference(superposition,[],[f2629,f684]) ).
thf(f2638,plain,
( ( $true = $false )
| ( $true
= ( c @ ( sK8 @ sK6 ) @ sK6 ) )
| ~ spl44_10
| ~ spl44_11
| ~ spl44_120 ),
inference(superposition,[],[f680,f2629]) ).
thf(f2640,plain,
( ( $false
= ( c @ ( sK8 @ sK6 ) @ spain ) )
| ~ spl44_10
| ~ spl44_12
| ~ spl44_120 ),
inference(trivial_inequality_removal,[],[f2635]) ).
thf(f2641,plain,
( ( $true
= ( c @ ( sK8 @ sK6 ) @ sK6 ) )
| ~ spl44_10
| ~ spl44_11
| ~ spl44_120 ),
inference(trivial_inequality_removal,[],[f2638]) ).
thf(f2644,plain,
( spl44_98
| ~ spl44_10
| ~ spl44_11
| ~ spl44_120 ),
inference(avatar_split_clause,[],[f2641,f2605,f679,f674,f1679]) ).
thf(f2645,plain,
( ( $true = $false )
| ( ( c @ ( sK8 @ sK6 ) @ catalunya )
= $true )
| ~ spl44_7
| ~ spl44_98 ),
inference(superposition,[],[f1681,f664]) ).
thf(f2648,plain,
( ( ( c @ ( sK8 @ sK6 ) @ catalunya )
= $true )
| ~ spl44_7
| ~ spl44_98 ),
inference(trivial_inequality_removal,[],[f2645]) ).
thf(f2651,plain,
( spl44_121
| ~ spl44_7
| ~ spl44_98 ),
inference(avatar_split_clause,[],[f2648,f1679,f663,f2609]) ).
thf(f2655,plain,
( ( $true
= ( c @ ( sK8 @ sK6 ) @ spain ) )
| ( $true = $false )
| ~ spl44_70
| ~ spl44_121 ),
inference(superposition,[],[f922,f2611]) ).
thf(f2658,plain,
( ( $true
= ( c @ ( sK8 @ sK6 ) @ spain ) )
| ~ spl44_70
| ~ spl44_121 ),
inference(trivial_inequality_removal,[],[f2655]) ).
thf(f2689,plain,
( ( $false != $false )
| ( $false
= ( c @ ( sK8 @ sK6 ) @ spain ) )
| ~ spl44_14
| spl44_120 ),
inference(superposition,[],[f2606,f692]) ).
thf(f2698,plain,
( ( $false
= ( c @ ( sK8 @ sK6 ) @ spain ) )
| ~ spl44_14
| spl44_120 ),
inference(trivial_inequality_removal,[],[f2689]) ).
thf(f2719,plain,
( ( $true = $false )
| ~ spl44_14
| ~ spl44_70
| spl44_120
| ~ spl44_121 ),
inference(superposition,[],[f2658,f2698]) ).
thf(f2723,plain,
( $false
| ~ spl44_14
| ~ spl44_70
| spl44_120
| ~ spl44_121 ),
inference(trivial_inequality_removal,[],[f2719]) ).
thf(f2724,plain,
( ~ spl44_14
| ~ spl44_70
| spl44_120
| ~ spl44_121 ),
inference(avatar_contradiction_clause,[],[f2723]) ).
thf(f2893,plain,
( ( ( c @ ( sK10 @ sK7 ) @ sK7 )
= $true )
| ( $true = $false )
| ( $true
= ( c @ sK5 @ ( sK11 @ sK7 ) ) )
| ~ spl44_9
| ~ spl44_15 ),
inference(superposition,[],[f1026,f696]) ).
thf(f2903,plain,
( ( ( c @ ( sK10 @ sK7 ) @ sK7 )
= $true )
| ( $true
= ( c @ sK5 @ ( sK11 @ sK7 ) ) )
| ~ spl44_9
| ~ spl44_15 ),
inference(trivial_inequality_removal,[],[f2893]) ).
thf(f2917,definition,
( spl44_126
<=> ( ( c @ ( sK10 @ sK7 ) @ sK7 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl44_126])],[avatar_definition]) ).
thf(f2919,plain,
( ( ( c @ ( sK10 @ sK7 ) @ sK7 )
= $true )
| ~ spl44_126 ),
inference(avatar_component_clause,[],[f2917]) ).
thf(f2921,definition,
( spl44_127
<=> ( $true
= ( c @ sK5 @ ( sK11 @ sK7 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl44_127])],[avatar_definition]) ).
thf(f2923,plain,
( ( $true
= ( c @ sK5 @ ( sK11 @ sK7 ) ) )
| ~ spl44_127 ),
inference(avatar_component_clause,[],[f2921]) ).
thf(f2926,plain,
( spl44_127
| spl44_126
| ~ spl44_9
| ~ spl44_15 ),
inference(avatar_split_clause,[],[f2903,f695,f670,f2917,f2921]) ).
thf(f2933,plain,
( ( ( c @ ( sK11 @ sK7 ) @ sK5 )
= $true )
| ( $true != $true )
| ~ spl44_127 ),
inference(superposition,[],[f181,f2923]) ).
thf(f2934,plain,
( ( ( c @ ( sK11 @ sK7 ) @ sK5 )
= $true )
| ~ spl44_127 ),
inference(trivial_inequality_removal,[],[f2933]) ).
thf(f2989,plain,
( ( $true = $false )
| ( $true
= ( c @ sK5 @ ( sK11 @ sK7 ) ) )
| ( ( c @ ( sK10 @ sK7 ) @ france )
= $false )
| ~ spl44_9
| ~ spl44_17 ),
inference(superposition,[],[f1026,f704]) ).
thf(f3000,plain,
( ( ( c @ ( sK10 @ sK7 ) @ france )
= $false )
| ( $true
= ( c @ sK5 @ ( sK11 @ sK7 ) ) )
| ~ spl44_9
| ~ spl44_17 ),
inference(trivial_inequality_removal,[],[f2989]) ).
thf(f3027,plain,
( ( ( c @ ( sK10 @ sK7 ) @ france )
= $false )
| ( $true = $false )
| ~ spl44_18
| ~ spl44_127 ),
inference(superposition,[],[f2934,f708]) ).
thf(f3036,plain,
( ( ( c @ ( sK10 @ sK7 ) @ france )
= $false )
| ~ spl44_18
| ~ spl44_127 ),
inference(trivial_inequality_removal,[],[f3027]) ).
thf(f3066,plain,
( ( $true = $false )
| ( ( c @ ( sK10 @ sK7 ) @ paris )
= $false )
| ~ spl44_18
| ~ spl44_53
| ~ spl44_127 ),
inference(superposition,[],[f3036,f850]) ).
thf(f3069,plain,
( ( ( c @ ( sK10 @ sK7 ) @ paris )
= $false )
| ~ spl44_18
| ~ spl44_53
| ~ spl44_127 ),
inference(trivial_inequality_removal,[],[f3066]) ).
thf(f3072,plain,
( ( $true = $false )
| ( ( c @ ( sK10 @ sK7 ) @ sK7 )
= $false )
| ~ spl44_8
| ~ spl44_18
| ~ spl44_53
| ~ spl44_127 ),
inference(superposition,[],[f3069,f667]) ).
thf(f3075,plain,
( ( ( c @ ( sK10 @ sK7 ) @ sK7 )
= $false )
| ~ spl44_8
| ~ spl44_18
| ~ spl44_53
| ~ spl44_127 ),
inference(trivial_inequality_removal,[],[f3072]) ).
thf(f3078,plain,
( ( ( c @ ( sK11 @ sK7 ) @ sK5 )
= $false )
| ( $true = $false )
| ~ spl44_8
| ~ spl44_16
| ~ spl44_18
| ~ spl44_53
| ~ spl44_127 ),
inference(superposition,[],[f700,f3075]) ).
thf(f3080,plain,
( ( ( c @ ( sK11 @ sK7 ) @ sK5 )
= $false )
| ~ spl44_8
| ~ spl44_16
| ~ spl44_18
| ~ spl44_53
| ~ spl44_127 ),
inference(trivial_inequality_removal,[],[f3078]) ).
thf(f3082,plain,
( ( $true = $false )
| ~ spl44_8
| ~ spl44_16
| ~ spl44_18
| ~ spl44_53
| ~ spl44_127 ),
inference(superposition,[],[f3080,f2934]) ).
thf(f3094,plain,
( $false
| ~ spl44_8
| ~ spl44_16
| ~ spl44_18
| ~ spl44_53
| ~ spl44_127 ),
inference(trivial_inequality_removal,[],[f3082]) ).
thf(f3095,plain,
( ~ spl44_8
| ~ spl44_16
| ~ spl44_18
| ~ spl44_53
| ~ spl44_127 ),
inference(avatar_contradiction_clause,[],[f3094]) ).
thf(f3107,definition,
( spl44_133
<=> ( ( c @ ( sK10 @ sK7 ) @ france )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl44_133])],[avatar_definition]) ).
thf(f3109,plain,
( ( ( c @ ( sK10 @ sK7 ) @ france )
= $false )
| ~ spl44_133 ),
inference(avatar_component_clause,[],[f3107]) ).
thf(f3111,plain,
( spl44_127
| spl44_133
| ~ spl44_9
| ~ spl44_17 ),
inference(avatar_split_clause,[],[f3000,f703,f670,f3107,f2921]) ).
thf(f3124,plain,
( ( $true = $false )
| ( ( c @ ( sK10 @ sK7 ) @ paris )
= $false )
| ~ spl44_53
| ~ spl44_133 ),
inference(superposition,[],[f3109,f850]) ).
thf(f3127,plain,
( ( ( c @ ( sK10 @ sK7 ) @ paris )
= $false )
| ~ spl44_53
| ~ spl44_133 ),
inference(trivial_inequality_removal,[],[f3124]) ).
thf(f3135,plain,
( ( ( c @ ( sK10 @ sK7 ) @ sK7 )
= $false )
| ( $true = $false )
| ~ spl44_8
| ~ spl44_53
| ~ spl44_133 ),
inference(superposition,[],[f667,f3127]) ).
thf(f3137,plain,
( ( ( c @ ( sK10 @ sK7 ) @ sK7 )
= $false )
| ~ spl44_8
| ~ spl44_53
| ~ spl44_133 ),
inference(trivial_inequality_removal,[],[f3135]) ).
thf(f3139,plain,
( ( $true = $false )
| ~ spl44_8
| ~ spl44_53
| ~ spl44_126
| ~ spl44_133 ),
inference(superposition,[],[f3137,f2919]) ).
thf(f3146,plain,
( $false
| ~ spl44_8
| ~ spl44_53
| ~ spl44_126
| ~ spl44_133 ),
inference(trivial_inequality_removal,[],[f3139]) ).
thf(f3147,plain,
( ~ spl44_8
| ~ spl44_53
| ~ spl44_126
| ~ spl44_133 ),
inference(avatar_contradiction_clause,[],[f3146]) ).
thf(f3260,plain,
( ( $true = $false )
| ( ( c @ ( sK8 @ sK6 ) @ catalunya )
= $true )
| ( ( c @ ( sK9 @ sK6 ) @ sK5 )
= $false )
| ~ spl44_7
| ~ spl44_13 ),
inference(superposition,[],[f688,f664]) ).
thf(f3290,plain,
( ( ( c @ ( sK8 @ sK6 ) @ catalunya )
= $true )
| ( ( c @ ( sK9 @ sK6 ) @ sK5 )
= $false )
| ~ spl44_7
| ~ spl44_13 ),
inference(trivial_inequality_removal,[],[f3260]) ).
thf(f3321,plain,
( spl44_120
| spl44_121
| ~ spl44_7
| ~ spl44_13 ),
inference(avatar_split_clause,[],[f3290,f687,f663,f2609,f2605]) ).
thf(f3701,plain,
( ( $true = $false )
| ~ spl44_10
| ~ spl44_12
| ~ spl44_70
| ~ spl44_120
| ~ spl44_121 ),
inference(superposition,[],[f2640,f2658]) ).
thf(f3706,plain,
( $false
| ~ spl44_10
| ~ spl44_12
| ~ spl44_70
| ~ spl44_120
| ~ spl44_121 ),
inference(trivial_inequality_removal,[],[f3701]) ).
thf(f3707,plain,
( ~ spl44_10
| ~ spl44_12
| ~ spl44_70
| ~ spl44_120
| ~ spl44_121 ),
inference(avatar_contradiction_clause,[],[f3706]) ).
cnf(s1,plain,
( spl44_1
| spl44_2 ),
inference(sat_conversion,[],[f644]) ).
cnf(s2,plain,
( spl44_2
| spl44_3 ),
inference(sat_conversion,[],[f649]) ).
cnf(s4,plain,
( spl44_5
| spl44_7
| spl44_8 ),
inference(sat_conversion,[],[f668]) ).
cnf(s5,plain,
( spl44_5
| spl44_7
| spl44_9 ),
inference(sat_conversion,[],[f672]) ).
cnf(s6,plain,
( spl44_5
| spl44_8
| spl44_10 ),
inference(sat_conversion,[],[f676]) ).
cnf(s7,plain,
( spl44_5
| spl44_9
| spl44_10 ),
inference(sat_conversion,[],[f677]) ).
cnf(s8,plain,
( spl44_5
| spl44_11 ),
inference(sat_conversion,[],[f681]) ).
cnf(s9,plain,
( spl44_5
| spl44_12 ),
inference(sat_conversion,[],[f685]) ).
cnf(s10,plain,
( spl44_5
| spl44_13 ),
inference(sat_conversion,[],[f689]) ).
cnf(s11,plain,
( spl44_5
| spl44_14 ),
inference(sat_conversion,[],[f693]) ).
cnf(s12,plain,
( spl44_5
| spl44_15 ),
inference(sat_conversion,[],[f697]) ).
cnf(s13,plain,
( spl44_5
| spl44_16 ),
inference(sat_conversion,[],[f701]) ).
cnf(s14,plain,
( spl44_5
| spl44_17 ),
inference(sat_conversion,[],[f705]) ).
cnf(s15,plain,
( spl44_5
| spl44_18 ),
inference(sat_conversion,[],[f709]) ).
cnf(s50,plain,
( spl44_6
| spl44_53 ),
inference(sat_conversion,[],[f851]) ).
cnf(s67,plain,
( spl44_6
| spl44_70 ),
inference(sat_conversion,[],[f923]) ).
cnf(s73,plain,
~ spl44_2,
inference(sat_conversion,[],[f948]) ).
cnf(s75,plain,
( ~ spl44_1
| ~ spl44_5 ),
inference(sat_conversion,[],[f954]) ).
cnf(s76,plain,
( ~ spl44_3
| ~ spl44_6 ),
inference(sat_conversion,[],[f958]) ).
cnf(s207,plain,
( ~ spl44_10
| ~ spl44_11
| spl44_98
| ~ spl44_120 ),
inference(sat_conversion,[],[f2644]) ).
cnf(s209,plain,
( ~ spl44_7
| ~ spl44_98
| spl44_121 ),
inference(sat_conversion,[],[f2651]) ).
cnf(s216,plain,
( ~ spl44_14
| ~ spl44_70
| spl44_120
| ~ spl44_121 ),
inference(sat_conversion,[],[f2724]) ).
cnf(s240,plain,
( ~ spl44_9
| ~ spl44_15
| spl44_126
| spl44_127 ),
inference(sat_conversion,[],[f2926]) ).
cnf(s248,plain,
( ~ spl44_8
| ~ spl44_16
| ~ spl44_18
| ~ spl44_53
| ~ spl44_127 ),
inference(sat_conversion,[],[f3095]) ).
cnf(s251,plain,
( ~ spl44_9
| ~ spl44_17
| spl44_127
| spl44_133 ),
inference(sat_conversion,[],[f3111]) ).
cnf(s256,plain,
( ~ spl44_8
| ~ spl44_53
| ~ spl44_126
| ~ spl44_133 ),
inference(sat_conversion,[],[f3147]) ).
cnf(s273,plain,
( ~ spl44_7
| ~ spl44_13
| spl44_120
| spl44_121 ),
inference(sat_conversion,[],[f3321]) ).
cnf(s294,plain,
( ~ spl44_10
| ~ spl44_12
| ~ spl44_70
| ~ spl44_120
| ~ spl44_121 ),
inference(sat_conversion,[],[f3707]) ).
cnf(s301,plain,
spl44_3,
inference(rat,[],[s2,s73]) ).
cnf(s302,plain,
~ spl44_6,
inference(rat,[],[s76,s301]) ).
cnf(s303,plain,
spl44_70,
inference(rat,[],[s67,s302]) ).
cnf(s320,plain,
spl44_53,
inference(rat,[],[s50,s302]) ).
cnf(s324,plain,
spl44_1,
inference(rat,[],[s1,s73]) ).
cnf(s325,plain,
~ spl44_5,
inference(rat,[],[s75,s324]) ).
cnf(s326,plain,
spl44_18,
inference(rat,[],[s15,s325]) ).
cnf(s327,plain,
spl44_17,
inference(rat,[],[s14,s325]) ).
cnf(s328,plain,
spl44_16,
inference(rat,[],[s13,s325]) ).
cnf(s329,plain,
spl44_15,
inference(rat,[],[s12,s325]) ).
cnf(s330,plain,
spl44_14,
inference(rat,[],[s11,s325]) ).
cnf(s331,plain,
spl44_13,
inference(rat,[],[s10,s325]) ).
cnf(s332,plain,
spl44_12,
inference(rat,[],[s9,s325]) ).
cnf(s333,plain,
spl44_11,
inference(rat,[],[s8,s325]) ).
cnf(s337,plain,
spl44_7,
inference(rat,[],[s256,s240,s251,s248,s4,s5,s320,s329,s327,s326,s328,s325]) ).
cnf(s338,plain,
( ~ spl44_121
| ~ spl44_10 ),
inference(rat,[],[s294,s216,s303,s332,s330]) ).
cnf(s339,plain,
~ spl44_10,
inference(rat,[],[s207,s209,s273,s338,s333,s337,s331]) ).
cnf(s340,plain,
spl44_9,
inference(rat,[],[s7,s325,s339]) ).
cnf(s341,plain,
spl44_8,
inference(rat,[],[s6,s325,s339]) ).
cnf(s343,plain,
~ spl44_127,
inference(rat,[],[s248,s328,s320,s326,s341]) ).
cnf(s344,plain,
spl44_133,
inference(rat,[],[s251,s340,s327,s343]) ).
cnf(s345,plain,
spl44_126,
inference(rat,[],[s240,s340,s329,s343]) ).
cnf(s347,plain,
$false,
inference(rat,[],[s256,s341,s320,s344,s345]) ).
thf(f3708,plain,
$false,
inference(avatar_sat_refutation,[],[s347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEG020^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 18:34:18 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.39 % (1188844)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.78/0.39 % (1188855)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.78/0.39 % (1188855)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
% 0.78/0.39 % (1188850)lrs+10_16_si=on:nwc=1.5:random_seed=427961694:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.78/0.39 % (1188849)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=568559768:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.78/0.39 % (1188851)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1362173579:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.78/0.39 % (1188853)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2922090144:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.78/0.39 % (1188854)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3278924439:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.78/0.39 % (1188852)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=1560119193: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)
% 0.78/0.39 % (1188855)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=493134437:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.78/0.39 % (1188851)Instruction limit reached!
% 0.78/0.39 % (1188851)------------------------------
% 0.78/0.39 % (1188851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (1188851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (1188851)CaDiCaL version: 2.1.3
% 0.78/0.39 % (1188851)Termination reason: Instruction limit
% 0.78/0.39 % (1188851)Termination phase: shuffling
% 0.78/0.39 % (1188851)Time elapsed: 0.001 s
% 0.78/0.39 % (1188851)Peak memory usage: 9 MB
% 0.78/0.39 % (1188851)Instructions burned: 3 (million)
% 0.78/0.39 % (1188850)Instruction limit reached!
% 0.78/0.39 % (1188850)------------------------------
% 0.78/0.39 % (1188850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (1188850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (1188850)CaDiCaL version: 2.1.3
% 0.78/0.39 % (1188850)Termination reason: Instruction limit
% 0.78/0.39 % (1188850)Termination phase: Saturation
% 0.78/0.39 % (1188850)Time elapsed: 0.009 s
% 0.78/0.39 % (1188850)Peak memory usage: 11 MB
% 0.78/0.39 % (1188850)Instructions burned: 19 (million)
% 0.78/0.39 % (1188853)Instruction limit reached!
% 0.78/0.39 % (1188853)------------------------------
% 0.78/0.39 % (1188853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (1188853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (1188853)CaDiCaL version: 2.1.3
% 0.78/0.39 % (1188853)Termination reason: Instruction limit
% 0.78/0.39 % (1188853)Termination phase: Saturation
% 0.78/0.39 % (1188853)Time elapsed: 0.014 s
% 0.78/0.39 % (1188853)Peak memory usage: 12 MB
% 0.78/0.39 % (1188853)Instructions burned: 25 (million)
% 0.78/0.39 % (1188863)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4145325985:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.39 % (1188863)Instruction limit reached!
% 0.78/0.39 % (1188863)------------------------------
% 0.78/0.39 % (1188863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.39 % (1188863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.39 % (1188863)CaDiCaL version: 2.1.3
% 0.78/0.39 % (1188863)Termination reason: Instruction limit
% 0.78/0.39 % (1188863)Termination phase: Property scanning
% 0.78/0.39 % (1188863)Time elapsed: 0.003 s
% 0.78/0.39 % (1188863)Peak memory usage: 10 MB
% 0.78/0.39 % (1188863)Instructions burned: 6 (million)
% 0.78/0.39 % (1188864)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=979316624:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.78/0.42 % (1188864)Instruction limit reached!
% 0.78/0.42 % (1188864)------------------------------
% 0.78/0.42 % (1188864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.42 % (1188864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.42 % (1188864)CaDiCaL version: 2.1.3
% 0.78/0.42 % (1188864)Termination reason: Instruction limit
% 0.78/0.42 % (1188864)Termination phase: Property scanning
% 0.78/0.42 % (1188864)Time elapsed: 0.003 s
% 0.78/0.42 % (1188864)Peak memory usage: 10 MB
% 0.78/0.42 % (1188864)Instructions burned: 6 (million)
% 0.78/0.42 % (1188865)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.42 % (1188865)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3282650330:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.78/0.42 % (1188854)Instruction limit reached!
% 0.78/0.42 % (1188854)------------------------------
% 0.78/0.42 % (1188854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.42 % (1188854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.42 % (1188854)CaDiCaL version: 2.1.3
% 0.78/0.42 % (1188854)Termination reason: Instruction limit
% 0.78/0.42 % (1188854)Termination phase: Saturation
% 0.78/0.42 % (1188854)Time elapsed: 0.037 s
% 0.78/0.42 % (1188854)Peak memory usage: 13 MB
% 0.78/0.42 % (1188854)Instructions burned: 75 (million)
% 0.78/0.42 % (1188865)Instruction limit reached!
% 0.78/0.42 % (1188865)------------------------------
% 0.78/0.42 % (1188865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.42 % (1188865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.42 % (1188865)CaDiCaL version: 2.1.3
% 0.78/0.42 % (1188865)Termination reason: Instruction limit
% 0.78/0.42 % (1188865)Termination phase: Property scanning
% 0.78/0.42 % (1188865)Time elapsed: 0.003 s
% 0.78/0.42 % (1188865)Peak memory usage: 10 MB
% 0.78/0.42 % (1188865)Instructions burned: 7 (million)
% 0.78/0.42 % (1188867)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4111942531:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.78/0.42 % (1188849)Instruction limit reached!
% 0.78/0.42 % (1188849)------------------------------
% 0.78/0.42 % (1188849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.42 % (1188849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.42 % (1188849)CaDiCaL version: 2.1.3
% 0.78/0.42 % (1188849)Termination reason: Instruction limit
% 0.78/0.42 % (1188849)Termination phase: Saturation
% 0.78/0.42 % (1188849)Time elapsed: 0.045 s
% 0.78/0.42 % (1188849)Peak memory usage: 12 MB
% 0.78/0.42 % (1188849)Instructions burned: 87 (million)
% 0.78/0.42 % (1188867)Instruction limit reached!
% 0.78/0.42 % (1188867)------------------------------
% 0.78/0.42 % (1188867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.42 % (1188867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.42 % (1188867)CaDiCaL version: 2.1.3
% 0.78/0.42 % (1188867)Termination reason: Instruction limit
% 0.78/0.42 % (1188867)Termination phase: Property scanning
% 0.78/0.42 % (1188867)Time elapsed: 0.006 s
% 0.78/0.42 % (1188867)Peak memory usage: 10 MB
% 0.78/0.42 % (1188867)Instructions burned: 12 (million)
% 0.78/0.42 % (1188871)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=2359139261:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.78/0.42 % (1188872)lrs+10_1_si=on:cs=on:random_seed=753368464:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.78/0.42 % (1188869)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
% 0.78/0.42 % (1188869)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.42 % (1188874)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.78/0.42 % (1188869)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=771946587:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.78/0.46 % (1188872)Instruction limit reached!
% 0.78/0.46 % (1188872)------------------------------
% 0.78/0.46 % (1188872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (1188872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (1188872)CaDiCaL version: 2.1.3
% 0.78/0.46 % (1188872)Termination reason: Instruction limit
% 0.78/0.46 % (1188872)Termination phase: Function definition elimination
% 0.78/0.46 % (1188872)Time elapsed: 0.004 s
% 0.78/0.46 % (1188872)Peak memory usage: 10 MB
% 0.78/0.46 % (1188872)Instructions burned: 10 (million)
% 0.78/0.46 % (1188874)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=3136245056:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.46 % (1188875)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=131503196:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.78/0.46 % (1188874)Instruction limit reached!
% 0.78/0.46 % (1188874)------------------------------
% 0.78/0.46 % (1188874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (1188874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (1188874)CaDiCaL version: 2.1.3
% 0.78/0.46 % (1188874)Termination reason: Instruction limit
% 0.78/0.46 % (1188874)Termination phase: Property scanning
% 0.78/0.46 % (1188874)Time elapsed: 0.003 s
% 0.78/0.46 % (1188874)Peak memory usage: 10 MB
% 0.78/0.46 % (1188874)Instructions burned: 7 (million)
% 0.78/0.46 % (1188869)Instruction limit reached!
% 0.78/0.46 % (1188869)------------------------------
% 0.78/0.46 % (1188869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (1188869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (1188869)CaDiCaL version: 2.1.3
% 0.78/0.46 % (1188869)Termination reason: Instruction limit
% 0.78/0.46 % (1188869)Termination phase: Saturation
% 0.78/0.46 % (1188869)Time elapsed: 0.016 s
% 0.78/0.46 % (1188869)Peak memory usage: 12 MB
% 0.78/0.46 % (1188869)Instructions burned: 28 (million)
% 0.78/0.46 % (1188855)Instruction limit reached!
% 0.78/0.46 % (1188855)------------------------------
% 0.78/0.46 % (1188855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (1188855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (1188855)CaDiCaL version: 2.1.3
% 0.78/0.46 % (1188855)Termination reason: Instruction limit
% 0.78/0.46 % (1188855)Termination phase: Saturation
% 0.78/0.46 % (1188855)Time elapsed: 0.080 s
% 0.78/0.46 % (1188855)Peak memory usage: 13 MB
% 0.78/0.46 % (1188855)Instructions burned: 158 (million)
% 0.78/0.46 % (1188879)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=162936876:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.78/0.46 % (1188882)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3688610760:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.78/0.46 % (1188875)Instruction limit reached!
% 0.78/0.46 % (1188875)------------------------------
% 0.78/0.46 % (1188875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (1188875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (1188875)CaDiCaL version: 2.1.3
% 0.78/0.46 % (1188875)Termination reason: Instruction limit
% 0.78/0.46 % (1188875)Termination phase: Saturation
% 0.78/0.46 % (1188875)Time elapsed: 0.020 s
% 0.78/0.46 % (1188875)Peak memory usage: 12 MB
% 0.78/0.46 % (1188875)Instructions burned: 39 (million)
% 0.78/0.46 % (1188884)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1831096290:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.78/0.46 % (1188871)Instruction limit reached!
% 0.78/0.46 % (1188871)------------------------------
% 0.78/0.46 % (1188871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.46 % (1188871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.46 % (1188871)CaDiCaL version: 2.1.3
% 0.78/0.46 % (1188871)Termination reason: Instruction limit
% 0.78/0.46 % (1188871)Termination phase: Saturation
% 0.78/0.46 % (1188871)Time elapsed: 0.043 s
% 1.53/0.50 % (1188871)Peak memory usage: 13 MB
% 1.53/0.50 % (1188871)Instructions burned: 87 (million)
% 1.53/0.50 % (1188883)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3949431969:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.50 % (1188882)Instruction limit reached!
% 1.53/0.50 % (1188882)------------------------------
% 1.53/0.50 % (1188882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.50 % (1188882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.50 % (1188882)CaDiCaL version: 2.1.3
% 1.53/0.50 % (1188882)Termination reason: Instruction limit
% 1.53/0.50 % (1188882)Termination phase: Saturation
% 1.53/0.50 % (1188882)Time elapsed: 0.014 s
% 1.53/0.50 % (1188882)Peak memory usage: 12 MB
% 1.53/0.50 % (1188882)Instructions burned: 25 (million)
% 1.53/0.50 % (1188887)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2034576628:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.50 % (1188883)Instruction limit reached!
% 1.53/0.50 % (1188883)------------------------------
% 1.53/0.50 % (1188883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.50 % (1188883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.50 % (1188883)CaDiCaL version: 2.1.3
% 1.53/0.50 % (1188883)Termination reason: Instruction limit
% 1.53/0.50 % (1188883)Termination phase: Saturation
% 1.53/0.50 % (1188883)Time elapsed: 0.007 s
% 1.53/0.50 % (1188883)Peak memory usage: 11 MB
% 1.53/0.50 % (1188883)Instructions burned: 15 (million)
% 1.53/0.50 % (1188887)Instruction limit reached!
% 1.53/0.50 % (1188887)------------------------------
% 1.53/0.50 % (1188887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.50 % (1188887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.50 % (1188887)CaDiCaL version: 2.1.3
% 1.53/0.50 % (1188887)Termination reason: Instruction limit
% 1.53/0.50 % (1188887)Termination phase: Saturation
% 1.53/0.50 % (1188887)Time elapsed: 0.006 s
% 1.53/0.50 % (1188887)Peak memory usage: 11 MB
% 1.53/0.50 % (1188887)Instructions burned: 14 (million)
% 1.53/0.50 % (1188890)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3451668543: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)
% 1.53/0.50 % (1188891)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1321509904:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.53/0.50 % (1188890)Instruction limit reached!
% 1.53/0.50 % (1188890)------------------------------
% 1.53/0.50 % (1188890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.50 % (1188890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.50 % (1188890)CaDiCaL version: 2.1.3
% 1.53/0.50 % (1188890)Termination reason: Instruction limit
% 1.53/0.50 % (1188890)Termination phase: shuffling
% 1.53/0.50 % (1188890)Time elapsed: 0.001 s
% 1.53/0.50 % (1188890)Peak memory usage: 9 MB
% 1.53/0.50 % (1188890)Instructions burned: 2 (million)
% 1.53/0.50 % (1188893)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2739226541:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.53/0.50 % (1188879)Refutation not found, incomplete strategy
% 1.53/0.50 % (1188879)------------------------------
% 1.53/0.50 % (1188879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.50 % (1188879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.50 % (1188879)CaDiCaL version: 2.1.3
% 1.53/0.50 % (1188879)Termination reason: Refutation not found, incomplete strategy
% 1.53/0.50 % (1188879)Time elapsed: 0.043 s
% 1.53/0.50 % (1188879)Peak memory usage: 12 MB
% 1.53/0.50 % (1188879)Instructions burned: 60 (million)
% 1.53/0.50 % (1188879)------------------------------
% 1.53/0.50 % (1188879)------------------------------
% 1.53/0.50 % (1188894)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=384099199:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.53/0.50 % (1188891)Instruction limit reached!
% 1.53/0.50 % (1188891)------------------------------
% 1.53/0.50 % (1188891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.50 % (1188891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.57 % (1188891)CaDiCaL version: 2.1.3
% 1.53/0.57 % (1188891)Termination reason: Instruction limit
% 1.53/0.57 % (1188891)Termination phase: Saturation
% 1.53/0.57 % (1188891)Time elapsed: 0.013 s
% 1.53/0.57 % (1188891)Peak memory usage: 12 MB
% 1.53/0.57 % (1188891)Instructions burned: 27 (million)
% 1.53/0.57 % (1188897)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
% 1.53/0.57 % (1188897)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.53/0.57 % (1188893)Instruction limit reached!
% 1.53/0.57 % (1188893)------------------------------
% 1.53/0.57 % (1188893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.57 % (1188893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.57 % (1188893)CaDiCaL version: 2.1.3
% 1.53/0.57 % (1188893)Termination reason: Instruction limit
% 1.53/0.57 % (1188893)Termination phase: Saturation
% 1.53/0.57 % (1188893)Time elapsed: 0.010 s
% 1.53/0.57 % (1188893)Peak memory usage: 11 MB
% 1.53/0.57 % (1188893)Instructions burned: 24 (million)
% 1.53/0.57 % (1188897)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=724429701:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.57 % (1188899)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.53/0.57 % (1188897)Instruction limit reached!
% 1.53/0.57 % (1188897)------------------------------
% 1.53/0.57 % (1188897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.57 % (1188897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.57 % (1188897)CaDiCaL version: 2.1.3
% 1.53/0.57 % (1188897)Termination reason: Instruction limit
% 1.53/0.57 % (1188897)Termination phase: Saturation
% 1.53/0.57 % (1188897)Time elapsed: 0.006 s
% 1.53/0.57 % (1188897)Peak memory usage: 11 MB
% 1.53/0.57 % (1188897)Instructions burned: 15 (million)
% 1.53/0.57 % (1188899)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=2991571044:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.53/0.57 % (1188901)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=176125161:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.53/0.57 % (1188899)Instruction limit reached!
% 1.53/0.57 % (1188899)------------------------------
% 1.53/0.57 % (1188899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.57 % (1188899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.57 % (1188899)CaDiCaL version: 2.1.3
% 1.53/0.57 % (1188899)Termination reason: Instruction limit
% 1.53/0.57 % (1188899)Termination phase: Property scanning
% 1.53/0.57 % (1188899)Time elapsed: 0.004 s
% 1.53/0.57 % (1188899)Peak memory usage: 10 MB
% 1.53/0.57 % (1188899)Instructions burned: 8 (million)
% 1.53/0.57 % (1188902)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4056643816:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.53/0.57 % (1188902)Instruction limit reached!
% 1.53/0.57 % (1188902)------------------------------
% 1.53/0.57 % (1188902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.57 % (1188902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.57 % (1188902)CaDiCaL version: 2.1.3
% 1.53/0.57 % (1188902)Termination reason: Instruction limit
% 1.53/0.57 % (1188902)Termination phase: Property scanning
% 1.53/0.57 % (1188902)Time elapsed: 0.003 s
% 1.53/0.57 % (1188902)Peak memory usage: 10 MB
% 1.53/0.57 % (1188902)Instructions burned: 7 (million)
% 1.53/0.57 % (1188904)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=140607288:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.53/0.57 % (1188901)Instruction limit reached!
% 1.53/0.57 % (1188901)------------------------------
% 1.53/0.57 % (1188901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.61 % (1188901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.61 % (1188901)CaDiCaL version: 2.1.3
% 2.26/0.61 % (1188901)Termination reason: Instruction limit
% 2.26/0.61 % (1188901)Termination phase: Saturation
% 2.26/0.61 % (1188901)Time elapsed: 0.016 s
% 2.26/0.61 % (1188901)Peak memory usage: 12 MB
% 2.26/0.61 % (1188901)Instructions burned: 31 (million)
% 2.26/0.61 % (1188907)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1997737915:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.26/0.61 % (1188894)Instruction limit reached!
% 2.26/0.61 % (1188894)------------------------------
% 2.26/0.61 % (1188894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.61 % (1188894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.61 % (1188894)CaDiCaL version: 2.1.3
% 2.26/0.61 % (1188894)Termination reason: Instruction limit
% 2.26/0.61 % (1188894)Termination phase: Saturation
% 2.26/0.61 % (1188894)Time elapsed: 0.040 s
% 2.26/0.61 % (1188894)Peak memory usage: 12 MB
% 2.26/0.61 % (1188894)Instructions burned: 60 (million)
% 2.26/0.61 % (1188904)Instruction limit reached!
% 2.26/0.61 % (1188904)------------------------------
% 2.26/0.61 % (1188904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.61 % (1188904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.61 % (1188904)CaDiCaL version: 2.1.3
% 2.26/0.61 % (1188904)Termination reason: Instruction limit
% 2.26/0.61 % (1188904)Termination phase: Saturation
% 2.26/0.61 % (1188904)Time elapsed: 0.010 s
% 2.26/0.61 % (1188904)Peak memory usage: 11 MB
% 2.26/0.61 % (1188904)Instructions burned: 23 (million)
% 2.26/0.61 % (1188909)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1739058172:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.26/0.61 % (1188907)Instruction limit reached!
% 2.26/0.61 % (1188907)------------------------------
% 2.26/0.61 % (1188907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.61 % (1188907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.61 % (1188907)CaDiCaL version: 2.1.3
% 2.26/0.61 % (1188907)Termination reason: Instruction limit
% 2.26/0.61 % (1188907)Termination phase: Saturation
% 2.26/0.61 % (1188907)Time elapsed: 0.011 s
% 2.26/0.61 % (1188907)Peak memory usage: 12 MB
% 2.26/0.61 % (1188907)Instructions burned: 20 (million)
% 2.26/0.61 % (1188911)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1532220111:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.26/0.61 % (1188913)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3126827124:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.26/0.61 % (1188916)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.26/0.61 % (1188915)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=941204541:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.26/0.61 % (1188916)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1885989289:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.26/0.61 % (1188916)Instruction limit reached!
% 2.26/0.61 % (1188916)------------------------------
% 2.26/0.61 % (1188916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.61 % (1188916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.61 % (1188916)CaDiCaL version: 2.1.3
% 2.26/0.61 % (1188916)Termination reason: Instruction limit
% 2.26/0.61 % (1188916)Termination phase: Property scanning
% 2.26/0.61 % (1188916)Time elapsed: 0.003 s
% 2.26/0.61 % (1188916)Peak memory usage: 10 MB
% 2.26/0.61 % (1188916)Instructions burned: 7 (million)
% 2.26/0.61 % (1188915)Instruction limit reached!
% 2.26/0.61 % (1188915)------------------------------
% 2.26/0.61 % (1188915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.61 % (1188915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.61 % (1188915)CaDiCaL version: 2.1.3
% 2.26/0.61 % (1188915)Termination reason: Instruction limit
% 2.26/0.61 % (1188915)Termination phase: Saturation
% 2.26/0.61 % (1188915)Time elapsed: 0.012 s
% 2.26/0.61 % (1188915)Peak memory usage: 12 MB
% 2.47/0.68 % (1188915)Instructions burned: 45 (million)
% 2.47/0.68 % (1188922)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1883701090:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.47/0.68 % (1188923)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=1148626989: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)
% 2.47/0.68 % (1188913)Refutation not found, incomplete strategy
% 2.47/0.68 % (1188913)------------------------------
% 2.47/0.68 % (1188913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.68 % (1188913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.68 % (1188913)CaDiCaL version: 2.1.3
% 2.47/0.68 % (1188913)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.68 % (1188913)Time elapsed: 0.054 s
% 2.47/0.68 % (1188913)Peak memory usage: 12 MB
% 2.47/0.68 % (1188913)Instructions burned: 70 (million)
% 2.47/0.68 % (1188913)------------------------------
% 2.47/0.68 % (1188913)------------------------------
% 2.47/0.68 % (1188923)Refutation not found, incomplete strategy
% 2.47/0.68 % (1188923)------------------------------
% 2.47/0.68 % (1188923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.68 % (1188923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.68 % (1188923)CaDiCaL version: 2.1.3
% 2.47/0.68 % (1188923)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.68 % (1188923)Time elapsed: 0.029 s
% 2.47/0.68 % (1188923)Peak memory usage: 13 MB
% 2.47/0.68 % (1188923)Instructions burned: 46 (million)
% 2.47/0.68 % (1188926)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.47/0.68 % (1188923)------------------------------
% 2.47/0.68 % (1188923)------------------------------
% 2.47/0.68 % (1188911)Instruction limit reached!
% 2.47/0.68 % (1188911)------------------------------
% 2.47/0.68 % (1188911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.68 % (1188911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.68 % (1188911)CaDiCaL version: 2.1.3
% 2.47/0.68 % (1188911)Termination reason: Instruction limit
% 2.47/0.68 % (1188911)Termination phase: Saturation
% 2.47/0.68 % (1188911)Time elapsed: 0.073 s
% 2.47/0.68 % (1188911)Peak memory usage: 13 MB
% 2.47/0.68 % (1188911)Instructions burned: 144 (million)
% 2.47/0.68 % (1188884)Instruction limit reached!
% 2.47/0.68 % (1188884)------------------------------
% 2.47/0.68 % (1188884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.68 % (1188884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.68 % (1188884)CaDiCaL version: 2.1.3
% 2.47/0.68 % (1188884)Termination reason: Instruction limit
% 2.47/0.68 % (1188884)Termination phase: Saturation
% 2.47/0.68 % (1188884)Time elapsed: 0.160 s
% 2.47/0.68 % (1188884)Peak memory usage: 13 MB
% 2.47/0.68 % (1188884)Instructions burned: 327 (million)
% 2.47/0.68 % (1188926)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2358561214:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.47/0.68 % (1188926)Instruction limit reached!
% 2.47/0.68 % (1188926)------------------------------
% 2.47/0.68 % (1188926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.68 % (1188926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.68 % (1188926)CaDiCaL version: 2.1.3
% 2.47/0.68 % (1188926)Termination reason: Instruction limit
% 2.47/0.68 % (1188926)Termination phase: SInE selection
% 2.47/0.68 % (1188926)Time elapsed: 0.003 s
% 2.47/0.68 % (1188926)Peak memory usage: 10 MB
% 2.47/0.68 % (1188926)Instructions burned: 7 (million)
% 2.47/0.68 % (1188927)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2152114577:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.47/0.68 % (1188927)Instruction limit reached!
% 2.47/0.68 % (1188927)------------------------------
% 2.47/0.68 % (1188927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.68 % (1188927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.68 % (1188927)CaDiCaL version: 2.1.3
% 2.47/0.68 % (1188927)Termination reason: Instruction limit
% 2.63/0.77 % (1188927)Termination phase: Saturation
% 2.63/0.77 % (1188927)Time elapsed: 0.006 s
% 2.63/0.77 % (1188927)Peak memory usage: 12 MB
% 2.63/0.77 % (1188927)Instructions burned: 24 (million)
% 2.63/0.77 % (1188928)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1546365279:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.63/0.77 % (1188931)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=1534684409:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.63/0.77 % (1188933)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=1163106902:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.63/0.77 % (1188928)Instruction limit reached!
% 2.63/0.77 % (1188928)------------------------------
% 2.63/0.77 % (1188928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.77 % (1188928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.77 % (1188928)CaDiCaL version: 2.1.3
% 2.63/0.77 % (1188928)Termination reason: Instruction limit
% 2.63/0.77 % (1188928)Termination phase: Saturation
% 2.63/0.77 % (1188928)Time elapsed: 0.009 s
% 2.63/0.77 % (1188928)Peak memory usage: 12 MB
% 2.63/0.77 % (1188928)Instructions burned: 20 (million)
% 2.63/0.77 % (1188930)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=1477550424:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.63/0.77 % (1188933)Instruction limit reached!
% 2.63/0.77 % (1188933)------------------------------
% 2.63/0.77 % (1188933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.77 % (1188933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.77 % (1188933)CaDiCaL version: 2.1.3
% 2.63/0.77 % (1188933)Termination reason: Instruction limit
% 2.63/0.77 % (1188933)Termination phase: Saturation
% 2.63/0.77 % (1188933)Time elapsed: 0.014 s
% 2.63/0.77 % (1188933)Peak memory usage: 12 MB
% 2.63/0.77 % (1188933)Instructions burned: 47 (million)
% 2.63/0.77 % (1188937)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1114277660:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.63/0.77 % (1188939)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2814858620:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.63/0.77 % (1188922)Instruction limit reached!
% 2.63/0.77 % (1188922)------------------------------
% 2.63/0.77 % (1188922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.77 % (1188922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.77 % (1188922)CaDiCaL version: 2.1.3
% 2.63/0.77 % (1188922)Termination reason: Instruction limit
% 2.63/0.77 % (1188922)Termination phase: Saturation
% 2.63/0.77 % (1188922)Time elapsed: 0.091 s
% 2.63/0.77 % (1188922)Peak memory usage: 13 MB
% 2.63/0.77 % (1188922)Instructions burned: 182 (million)
% 2.63/0.77 % (1188937)Refutation not found, incomplete strategy
% 2.63/0.77 % (1188937)------------------------------
% 2.63/0.77 % (1188937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.77 % (1188937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.77 % (1188937)CaDiCaL version: 2.1.3
% 2.63/0.77 % (1188937)Termination reason: Refutation not found, incomplete strategy
% 2.63/0.77 % (1188937)Time elapsed: 0.006 s
% 2.63/0.77 % (1188937)Peak memory usage: 12 MB
% 2.63/0.77 % (1188937)Instructions burned: 12 (million)
% 2.63/0.77 % (1188939)Instruction limit reached!
% 2.63/0.77 % (1188939)------------------------------
% 2.63/0.77 % (1188939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.77 % (1188939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.77 % (1188939)CaDiCaL version: 2.1.3
% 2.63/0.77 % (1188939)Termination reason: Instruction limit
% 2.63/0.77 % (1188939)Termination phase: Saturation
% 2.63/0.77 % (1188939)Time elapsed: 0.005 s
% 2.63/0.77 % (1188939)Peak memory usage: 11 MB
% 3.16/0.87 % (1188939)Instructions burned: 22 (million)
% 3.16/0.87 % (1188937)------------------------------
% 3.16/0.87 % (1188937)------------------------------
% 3.16/0.87 % (1188943)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2753510820:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.16/0.87 % (1188942)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.16/0.87 % (1188943)Instruction limit reached!
% 3.16/0.87 % (1188943)------------------------------
% 3.16/0.87 % (1188943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.87 % (1188943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.87 % (1188943)CaDiCaL version: 2.1.3
% 3.16/0.87 % (1188943)Termination reason: Instruction limit
% 3.16/0.87 % (1188943)Termination phase: Saturation
% 3.16/0.87 % (1188943)Time elapsed: 0.004 s
% 3.16/0.87 % (1188943)Peak memory usage: 12 MB
% 3.16/0.87 % (1188943)Instructions burned: 15 (million)
% 3.16/0.87 % (1188942)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4171506259:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.16/0.87 % (1188944)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=1683838805:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.16/0.87 % (1188946)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=453614167:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.16/0.87 % (1188852)Instruction limit reached!
% 3.16/0.87 % (1188852)------------------------------
% 3.16/0.87 % (1188852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.87 % (1188852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.87 % (1188852)CaDiCaL version: 2.1.3
% 3.16/0.87 % (1188852)Termination reason: Instruction limit
% 3.16/0.87 % (1188852)Termination phase: Saturation
% 3.16/0.87 % (1188852)Time elapsed: 0.348 s
% 3.16/0.87 % (1188852)Peak memory usage: 15 MB
% 3.16/0.87 % (1188852)Instructions burned: 635 (million)
% 3.16/0.87 % (1188946)Instruction limit reached!
% 3.16/0.87 % (1188946)------------------------------
% 3.16/0.87 % (1188946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.87 % (1188946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.87 % (1188946)CaDiCaL version: 2.1.3
% 3.16/0.87 % (1188946)Termination reason: Instruction limit
% 3.16/0.87 % (1188946)Termination phase: Saturation
% 3.16/0.87 % (1188946)Time elapsed: 0.014 s
% 3.16/0.87 % (1188946)Peak memory usage: 12 MB
% 3.16/0.87 % (1188946)Instructions burned: 52 (million)
% 3.16/0.87 % (1188951)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=4021259138:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.16/0.87 % (1188950)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=154049870:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.16/0.87 % (1188944)Instruction limit reached!
% 3.16/0.87 % (1188944)------------------------------
% 3.16/0.87 % (1188944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.87 % (1188944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.87 % (1188944)CaDiCaL version: 2.1.3
% 3.16/0.87 % (1188944)Termination reason: Instruction limit
% 3.16/0.87 % (1188944)Termination phase: Saturation
% 3.16/0.87 % (1188944)Time elapsed: 0.033 s
% 3.16/0.87 % (1188944)Peak memory usage: 13 MB
% 3.16/0.87 % (1188944)Instructions burned: 68 (million)
% 3.16/0.87 % (1188950)Instruction limit reached!
% 3.16/0.87 % (1188950)------------------------------
% 3.16/0.87 % (1188950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.16/0.87 % (1188950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/0.87 % (1188950)CaDiCaL version: 2.1.3
% 3.16/0.87 % (1188950)Termination reason: Instruction limit
% 3.16/0.87 % (1188950)Termination phase: Saturation
% 3.16/0.87 % (1188950)Time elapsed: 0.015 s
% 3.16/0.87 % (1188950)Peak memory usage: 12 MB
% 3.16/0.87 % (1188950)Instructions burned: 31 (million)
% 3.16/0.87 % (1188954)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=103235917:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.80/0.99 % (1188955)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4113656648:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.80/0.99 % (1188951)Instruction limit reached!
% 3.80/0.99 % (1188951)------------------------------
% 3.80/0.99 % (1188951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/0.99 % (1188951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/0.99 % (1188951)CaDiCaL version: 2.1.3
% 3.80/0.99 % (1188951)Termination reason: Instruction limit
% 3.80/0.99 % (1188951)Termination phase: Saturation
% 3.80/0.99 % (1188951)Time elapsed: 0.038 s
% 3.80/0.99 % (1188951)Peak memory usage: 13 MB
% 3.80/0.99 % (1188951)Instructions burned: 138 (million)
% 3.80/0.99 % (1188954)Instruction limit reached!
% 3.80/0.99 % (1188954)------------------------------
% 3.80/0.99 % (1188954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/0.99 % (1188954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/0.99 % (1188954)CaDiCaL version: 2.1.3
% 3.80/0.99 % (1188954)Termination reason: Instruction limit
% 3.80/0.99 % (1188954)Termination phase: Saturation
% 3.80/0.99 % (1188954)Time elapsed: 0.017 s
% 3.80/0.99 % (1188954)Peak memory usage: 13 MB
% 3.80/0.99 % (1188954)Instructions burned: 35 (million)
% 3.80/0.99 % (1188959)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1262019780:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.80/0.99 % (1188958)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.80/0.99 % (1188955)Refutation not found, incomplete strategy
% 3.80/0.99 % (1188955)------------------------------
% 3.80/0.99 % (1188955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/0.99 % (1188955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/0.99 % (1188955)CaDiCaL version: 2.1.3
% 3.80/0.99 % (1188955)Termination reason: Refutation not found, incomplete strategy
% 3.80/0.99 % (1188955)Time elapsed: 0.024 s
% 3.80/0.99 % (1188955)Peak memory usage: 12 MB
% 3.80/0.99 % (1188955)Instructions burned: 48 (million)
% 3.80/0.99 % (1188958)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1344155682:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.80/0.99 % (1188955)------------------------------
% 3.80/0.99 % (1188955)------------------------------
% 3.80/0.99 % (1188942)Instruction limit reached!
% 3.80/0.99 % (1188942)------------------------------
% 3.80/0.99 % (1188942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/0.99 % (1188942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/0.99 % (1188942)CaDiCaL version: 2.1.3
% 3.80/0.99 % (1188942)Termination reason: Instruction limit
% 3.80/0.99 % (1188942)Termination phase: Saturation
% 3.80/0.99 % (1188942)Time elapsed: 0.100 s
% 3.80/0.99 % (1188942)Peak memory usage: 13 MB
% 3.80/0.99 % (1188942)Instructions burned: 201 (million)
% 3.80/0.99 % (1188962)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=4007967957:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.80/0.99 % (1188963)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3599705290:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.80/0.99 % (1188963)Refutation not found, incomplete strategy
% 3.80/0.99 % (1188963)------------------------------
% 3.80/0.99 % (1188963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/0.99 % (1188963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/0.99 % (1188963)CaDiCaL version: 2.1.3
% 3.80/0.99 % (1188963)Termination reason: Refutation not found, incomplete strategy
% 3.80/0.99 % (1188963)Time elapsed: 0.007 s
% 3.80/0.99 % (1188963)Peak memory usage: 12 MB
% 3.80/0.99 % (1188963)Instructions burned: 13 (million)
% 3.80/0.99 % (1188963)------------------------------
% 3.80/0.99 % (1188963)------------------------------
% 3.80/0.99 % (1188966)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4291083419:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.80/0.99 % (1188959)Instruction limit reached!
% 3.80/0.99 % (1188959)------------------------------
% 3.80/0.99 % (1188959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188959)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188959)Termination reason: Instruction limit
% 3.80/1.02 % (1188959)Termination phase: Saturation
% 3.80/1.02 % (1188959)Time elapsed: 0.063 s
% 3.80/1.02 % (1188959)Peak memory usage: 13 MB
% 3.80/1.02 % (1188959)Instructions burned: 247 (million)
% 3.80/1.02 % (1188968)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=662584194:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.80/1.02 % (1188962)Instruction limit reached!
% 3.80/1.02 % (1188962)------------------------------
% 3.80/1.02 % (1188962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188962)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188962)Termination reason: Instruction limit
% 3.80/1.02 % (1188962)Termination phase: Saturation
% 3.80/1.02 % (1188962)Time elapsed: 0.047 s
% 3.80/1.02 % (1188962)Peak memory usage: 13 MB
% 3.80/1.02 % (1188962)Instructions burned: 97 (million)
% 3.80/1.02 % (1188958)Instruction limit reached!
% 3.80/1.02 % (1188958)------------------------------
% 3.80/1.02 % (1188958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188958)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188958)Termination reason: Instruction limit
% 3.80/1.02 % (1188958)Termination phase: Saturation
% 3.80/1.02 % (1188958)Time elapsed: 0.085 s
% 3.80/1.02 % (1188958)Peak memory usage: 13 MB
% 3.80/1.02 % (1188958)Instructions burned: 182 (million)
% 3.80/1.02 % (1188970)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4210295115:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.80/1.02 % (1188971)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2631840940:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.80/1.02 % (1188930)Instruction limit reached!
% 3.80/1.02 % (1188930)------------------------------
% 3.80/1.02 % (1188930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188930)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188930)Termination reason: Instruction limit
% 3.80/1.02 % (1188930)Termination phase: Saturation
% 3.80/1.02 % (1188930)Time elapsed: 0.246 s
% 3.80/1.02 % (1188930)Peak memory usage: 14 MB
% 3.80/1.02 % (1188930)Instructions burned: 316 (million)
% 3.80/1.02 % (1188971)Instruction limit reached!
% 3.80/1.02 % (1188971)------------------------------
% 3.80/1.02 % (1188971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188971)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188971)Termination reason: Instruction limit
% 3.80/1.02 % (1188971)Termination phase: Saturation
% 3.80/1.02 % (1188971)Time elapsed: 0.024 s
% 3.80/1.02 % (1188971)Peak memory usage: 12 MB
% 3.80/1.02 % (1188971)Instructions burned: 49 (million)
% 3.80/1.02 % (1188974)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1504161889:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.80/1.02 % (1188974)Refutation not found, incomplete strategy
% 3.80/1.02 % (1188974)------------------------------
% 3.80/1.02 % (1188974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188974)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188974)Termination reason: Refutation not found, incomplete strategy
% 3.80/1.02 % (1188974)Time elapsed: 0.007 s
% 3.80/1.02 % (1188974)Peak memory usage: 12 MB
% 3.80/1.02 % (1188974)Instructions burned: 13 (million)
% 3.80/1.02 % (1188975)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=4102003309:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.80/1.02 % (1188974)------------------------------
% 3.80/1.02 % (1188974)------------------------------
% 3.80/1.02 % (1188970)Instruction limit reached!
% 3.80/1.02 % (1188970)------------------------------
% 3.80/1.02 % (1188970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188970)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188970)Termination reason: Instruction limit
% 3.80/1.02 % (1188970)Termination phase: Saturation
% 3.80/1.02 % (1188970)Time elapsed: 0.068 s
% 3.80/1.02 % (1188970)Peak memory usage: 13 MB
% 3.80/1.02 % (1188970)Instructions burned: 130 (million)
% 3.80/1.02 % (1188978)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3061060018:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 3.80/1.02 % (1188979)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=19869478:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 3.80/1.02 % (1188968)Instruction limit reached!
% 3.80/1.02 % (1188968)------------------------------
% 3.80/1.02 % (1188968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188968)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188968)Termination reason: Instruction limit
% 3.80/1.02 % (1188968)Termination phase: Saturation
% 3.80/1.02 % (1188968)Time elapsed: 0.135 s
% 3.80/1.02 % (1188968)Peak memory usage: 15 MB
% 3.80/1.02 % (1188968)Instructions burned: 518 (million)
% 3.80/1.02 % (1188979)Instruction limit reached!
% 3.80/1.02 % (1188979)------------------------------
% 3.80/1.02 % (1188979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188979)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188979)Termination reason: Instruction limit
% 3.80/1.02 % (1188979)Termination phase: Saturation
% 3.80/1.02 % (1188979)Time elapsed: 0.034 s
% 3.80/1.02 % (1188979)Peak memory usage: 13 MB
% 3.80/1.02 % (1188979)Instructions burned: 65 (million)
% 3.80/1.02 % (1188982)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=947855194: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_2993 on theBenchmark for (2993ds/105Mi)
% 3.80/1.02 % (1188978)Instruction limit reached!
% 3.80/1.02 % (1188978)------------------------------
% 3.80/1.02 % (1188978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188978)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188978)Termination reason: Instruction limit
% 3.80/1.02 % (1188978)Termination phase: Saturation
% 3.80/1.02 % (1188978)Time elapsed: 0.047 s
% 3.80/1.02 % (1188978)Peak memory usage: 12 MB
% 3.80/1.02 % (1188978)Instructions burned: 96 (million)
% 3.80/1.02 % (1188983)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=2773155511:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 3.80/1.02 % (1188985)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=853317728:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 3.80/1.02 % (1188982)Instruction limit reached!
% 3.80/1.02 % (1188982)------------------------------
% 3.80/1.02 % (1188982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188982)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188982)Termination reason: Instruction limit
% 3.80/1.02 % (1188982)Termination phase: Saturation
% 3.80/1.02 % (1188982)Time elapsed: 0.028 s
% 3.80/1.02 % (1188982)Peak memory usage: 13 MB
% 3.80/1.02 % (1188982)Instructions burned: 107 (million)
% 3.80/1.02 % (1188988)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3239511815:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 3.80/1.02 % (1188931)Instruction limit reached!
% 3.80/1.02 % (1188931)------------------------------
% 3.80/1.02 % (1188931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188931)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188931)Termination reason: Instruction limit
% 3.80/1.02 % (1188931)Termination phase: Saturation
% 3.80/1.02 % (1188931)Time elapsed: 0.406 s
% 3.80/1.02 % (1188931)Peak memory usage: 14 MB
% 3.80/1.02 % (1188931)Instructions burned: 854 (million)
% 3.80/1.02 % (1188975) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1188844-1188975"...
% 3.80/1.02 % (1188990)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=3656967088:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 3.80/1.02 % (1188975)...printing done.
% 3.80/1.02 % (1188975)Refutation found. Thanks to Tanya!
% 3.80/1.02 % SZS status Theorem for theBenchmark
% 3.80/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 3.80/1.02 % (1188975)------------------------------
% 3.80/1.02 % (1188975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.02 % (1188975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.02 % (1188975)CaDiCaL version: 2.1.3
% 3.80/1.02 % (1188975)Termination reason: Refutation
% 3.80/1.02 % (1188975)Time elapsed: 0.146 s
% 3.80/1.02 % (1188975)Peak memory usage: 14 MB
% 3.80/1.02 % (1188975)Instructions burned: 294 (million)
% 3.80/1.02 % (1188844)Success in time 0.762 s
% 3.80/1.02 % Vampire exiting
%------------------------------------------------------------------------------