%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEG002^1 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:49:24 AM UTC 2026
% Result : Theorem 2.64s 0.65s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 18
% Syntax : Number of formulae : 210 ( 80 unt; 0 typ; 6 def)
% Number of atoms : 1151 ( 319 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 1329 ( 88 ~; 168 |; 79 &; 938 @)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 39 ( 34 usr; 14 con; 0-4 aty)
% ( 9 !!; 25 ??; 0 @@+; 0 @@-)
% Number of variables : 345 ( 0 sgn 205 !; 6 ?; 345 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
reg: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
c: reg > reg > $o ).
thf(func_def_1,type,
dc: reg > reg > $o ).
thf(func_def_2,type,
p: reg > reg > $o ).
thf(func_def_3,type,
eq: reg > reg > $o ).
thf(func_def_4,type,
o: reg > reg > $o ).
thf(func_def_5,type,
po: reg > reg > $o ).
thf(func_def_6,type,
ec: reg > reg > $o ).
thf(func_def_7,type,
pp: reg > reg > $o ).
thf(func_def_8,type,
tpp: reg > reg > $o ).
thf(func_def_9,type,
ntpp: reg > reg > $o ).
thf(func_def_11,type,
catalunya: reg ).
thf(func_def_12,type,
france: reg ).
thf(func_def_13,type,
spain: reg ).
thf(func_def_14,type,
paris: reg ).
thf(func_def_17,type,
vAND: $o > $o > $o ).
thf(func_def_18,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_21,type,
vNOT: $o > $o ).
thf(func_def_22,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_23,type,
vIMP: $o > $o > $o ).
thf(func_def_24,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_25,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_26,type,
sF0: $o ).
thf(func_def_27,type,
sF1: $o ).
thf(func_def_29,type,
sK3: reg > reg > reg ).
thf(func_def_30,type,
sK4: reg > reg > reg ).
thf(func_def_31,type,
sK5: reg > reg > reg ).
thf(func_def_32,type,
sK6: reg > reg > reg ).
thf(f2,axiom,
! [X0: reg,X1: reg] :
( ( c @ X0 @ X1 )
=> ( c @ X1 @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',c_symmetric) ).
thf(f3,axiom,
( dc
= ( ^ [X0: reg,X1: reg] :
~ ( c @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',dc) ).
thf(f4,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(f6,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(f8,axiom,
( ( ^ [X0: reg,X1: reg] :
( ~ ( o @ X0 @ X1 )
& ( c @ X0 @ X1 ) ) )
= ec ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',ec) ).
thf(f9,axiom,
( pp
= ( ^ [X0: reg,X1: reg] :
( ~ ( p @ X1 @ X0 )
& ( p @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',pp) ).
thf(f10,axiom,
( tpp
= ( ^ [X0: reg,X1: reg] :
( ? [X2: reg] :
( ( ec @ X2 @ X0 )
& ( ec @ X2 @ X1 ) )
& ( pp @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',tpp) ).
thf(f11,axiom,
( ntpp
= ( ^ [X0: reg,X1: reg] :
( ~ ? [X2: reg] :
( ( ec @ X2 @ X0 )
& ( ec @ X2 @ X1 ) )
& ( pp @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax',ntpp) ).
thf(f12,axiom,
tpp @ catalunya @ spain,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(f13,axiom,
ec @ spain @ france,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(f14,axiom,
ntpp @ paris @ france,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(f15,conjecture,
( ( dc @ spain @ paris )
& ( dc @ catalunya @ paris ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f16,negated_conjecture,
~ ( ( dc @ spain @ paris )
& ( dc @ catalunya @ paris ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
thf(f17,plain,
tpp @ catalunya @ spain,
inference(rectify,[],[f12]) ).
thf(f18,plain,
( ( tpp @ catalunya @ spain )
= $true ),
inference(fool_elimination,[],[f17]) ).
thf(f23,plain,
( ( ^ [X0: reg,X1: reg] :
( ~ ( o @ X0 @ X1 )
& ( c @ X0 @ X1 ) ) )
= ec ),
inference(rectify,[],[f8]) ).
thf(f24,plain,
( ec
= ( ^ [Y0: reg,Y1: reg] :
( ( c @ Y0 @ Y1 )
& ~ ( o @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f25,plain,
ntpp @ paris @ france,
inference(rectify,[],[f14]) ).
thf(f26,plain,
( ( ntpp @ paris @ france )
= $true ),
inference(fool_elimination,[],[f25]) ).
thf(f27,plain,
( dc
= ( ^ [X0: reg,X1: reg] :
~ ( c @ X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f28,plain,
( dc
= ( ^ [Y0: reg,Y1: reg] :
~ ( c @ Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f27]) ).
thf(f29,plain,
~ ( ( dc @ spain @ paris )
& ( dc @ catalunya @ paris ) ),
inference(rectify,[],[f16]) ).
thf(f30,plain,
~ ( ( ( dc @ catalunya @ paris )
= $true )
& ( ( dc @ spain @ paris )
= $true ) ),
inference(fool_elimination,[],[f29]) ).
thf(f31,plain,
( p
= ( ^ [X0: reg,X1: reg] :
! [X2: reg] :
( ( c @ X2 @ X0 )
=> ( c @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f32,plain,
( p
= ( ^ [Y0: reg,Y1: reg] :
( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y0 )
=> ( c @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f33,plain,
( tpp
= ( ^ [X0: reg,X1: reg] :
( ? [X2: reg] :
( ( ec @ X2 @ X0 )
& ( ec @ X2 @ X1 ) )
& ( pp @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f10]) ).
thf(f34,plain,
( tpp
= ( ^ [Y0: reg,Y1: reg] :
( ( pp @ Y0 @ Y1 )
& ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y1 )
& ( ec @ Y2 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f33]) ).
thf(f35,plain,
( o
= ( ^ [X0: reg,X1: reg] :
? [X2: reg] :
( ( p @ X2 @ X0 )
& ( p @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f36,plain,
( o
= ( ^ [Y0: reg,Y1: reg] :
( ?? @ reg
@ ^ [Y2: reg] :
( ( p @ Y2 @ Y1 )
& ( p @ Y2 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f35]) ).
thf(f39,plain,
ec @ spain @ france,
inference(rectify,[],[f13]) ).
thf(f40,plain,
( ( ec @ spain @ france )
= $true ),
inference(fool_elimination,[],[f39]) ).
thf(f41,plain,
! [X0: reg,X1: reg] :
( ( c @ X0 @ X1 )
=> ( c @ X1 @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f42,plain,
! [X0: reg,X1: reg] :
( ( ( c @ X0 @ X1 )
= $true )
=> ( ( c @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f41]) ).
thf(f43,plain,
( pp
= ( ^ [X0: reg,X1: reg] :
( ~ ( p @ X1 @ X0 )
& ( p @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f9]) ).
thf(f44,plain,
( pp
= ( ^ [Y0: reg,Y1: reg] :
( ( p @ Y0 @ Y1 )
& ~ ( p @ Y1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f43]) ).
thf(f45,plain,
( ntpp
= ( ^ [X0: reg,X1: reg] :
( ~ ? [X2: reg] :
( ( ec @ X2 @ X0 )
& ( ec @ X2 @ X1 ) )
& ( pp @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f11]) ).
thf(f46,plain,
( ntpp
= ( ^ [Y0: reg,Y1: reg] :
( ( pp @ Y0 @ Y1 )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y1 )
& ( ec @ Y2 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f45]) ).
thf(f47,plain,
! [X0: reg,X1: reg] :
( ( ( c @ X1 @ X0 )
= $true )
| ( ( c @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f42]) ).
thf(f48,plain,
( ( ( dc @ catalunya @ paris )
!= $true )
| ( ( dc @ spain @ paris )
!= $true ) ),
inference(ennf_transformation,[],[f30]) ).
thf(f49,plain,
( o
= ( ^ [Y0: reg,Y1: reg] :
( ?? @ reg
@ ^ [Y2: reg] :
( ( p @ Y2 @ Y1 )
& ( p @ Y2 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f50,plain,
( p
= ( ^ [Y0: reg,Y1: reg] :
( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y0 )
=> ( c @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f51,plain,
( ( ntpp @ paris @ france )
= $true ),
inference(cnf_transformation,[],[f26]) ).
thf(f52,plain,
( dc
= ( ^ [Y0: reg,Y1: reg] :
~ ( c @ Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f28]) ).
thf(f54,plain,
( tpp
= ( ^ [Y0: reg,Y1: reg] :
( ( pp @ Y0 @ Y1 )
& ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y1 )
& ( ec @ Y2 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f55,plain,
( ec
= ( ^ [Y0: reg,Y1: reg] :
( ( c @ Y0 @ Y1 )
& ~ ( o @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f56,plain,
( ( ec @ spain @ france )
= $true ),
inference(cnf_transformation,[],[f40]) ).
thf(f57,plain,
( ( tpp @ catalunya @ spain )
= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f58,plain,
! [X0: reg,X1: reg] :
( ( ( c @ X0 @ X1 )
!= $true )
| ( ( c @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f47]) ).
thf(f60,plain,
( ( ( dc @ catalunya @ paris )
!= $true )
| ( ( dc @ spain @ paris )
!= $true ) ),
inference(cnf_transformation,[],[f48]) ).
thf(f62,plain,
( ntpp
= ( ^ [Y0: reg,Y1: reg] :
( ( pp @ Y0 @ Y1 )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y1 )
& ( ec @ Y2 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f46]) ).
thf(f63,plain,
( pp
= ( ^ [Y0: reg,Y1: reg] :
( ( p @ Y0 @ Y1 )
& ~ ( p @ Y1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f44]) ).
thf(f66,definition,
( sF0
= ( dc @ catalunya @ paris ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f67,plain,
( ( dc @ catalunya @ paris )
= sF0 ),
inference(reorient_equations,[],[f66]) ).
thf(f68,definition,
( sF1
= ( dc @ spain @ paris ) ),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
thf(f69,plain,
( ( dc @ spain @ paris )
= sF1 ),
inference(reorient_equations,[],[f68]) ).
thf(f70,plain,
( ( sF1 != $true )
| ( sF0 != $true ) ),
inference(definition_folding,[],[f60,f69,f67]) ).
thf(f72,plain,
( ( ( dc @ catalunya @ paris )
= $false )
| ( sF0 = $true ) ),
inference(iff_proxy_clausification,[],[f67]) ).
thf(f74,plain,
( ( sF1 = $true )
| ( ( dc @ spain @ paris )
= $false ) ),
inference(iff_proxy_clausification,[],[f69]) ).
thf(f76,definition,
( spl2_1
<=> ( ( dc @ catalunya @ paris )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f78,plain,
( ( ( dc @ catalunya @ paris )
= $false )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f76]) ).
thf(f80,definition,
( spl2_2
<=> ( sF0 = $true ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f83,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f72,f80,f76]) ).
thf(f94,definition,
( spl2_5
<=> ( sF1 = $true ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f98,definition,
( spl2_6
<=> ( ( dc @ spain @ paris )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f99,plain,
( ( ( dc @ spain @ paris )
!= $false )
| spl2_6 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f100,plain,
( ( ( dc @ spain @ paris )
= $false )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f101,plain,
( spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f74,f98,f94]) ).
thf(f111,plain,
( ~ spl2_2
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f70,f94,f80]) ).
thf(f121,plain,
! [X1: reg] :
( ( ^ [Y0: reg,Y1: reg] :
~ ( c @ Y0 @ Y1 )
@ X1 )
= ( dc @ X1 ) ),
inference(argument_congruence,[],[f52]) ).
thf(f122,plain,
! [X1: reg] :
( ( ^ [Y0: reg] :
~ ( c @ X1 @ Y0 ) )
= ( dc @ X1 ) ),
inference(beta-eta_normalization,[],[f121]) ).
thf(f123,plain,
! [X2: reg,X1: reg] :
( ( dc @ X1 @ X2 )
= ( ^ [Y0: reg] :
~ ( c @ X1 @ Y0 )
@ X2 ) ),
inference(argument_congruence,[],[f122]) ).
thf(f124,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( ^ [Y0: reg] :
~ ( c @ X1 @ Y0 )
@ X2 ) )
| ( ( dc @ X1 @ X2 )
= $true ) ),
inference(iff_proxy_clausification,[],[f123]) ).
thf(f125,plain,
! [X2: reg,X1: reg] :
( ( ( dc @ X1 @ X2 )
= $false )
| ( ( ^ [Y0: reg] :
~ ( c @ X1 @ Y0 )
@ X2 )
= $true ) ),
inference(iff_proxy_clausification,[],[f123]) ).
thf(f126,plain,
! [X2: reg,X1: reg] :
( ( ( ~ ( c @ X1 @ X2 ) )
= $true )
| ( ( dc @ X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f125]) ).
thf(f127,plain,
! [X2: reg,X1: reg] :
( ( ( dc @ X1 @ X2 )
= $false )
| ( ( c @ X1 @ X2 )
= $false ) ),
inference(not_proxy_clausification,[],[f126]) ).
thf(f128,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( ~ ( c @ X1 @ X2 ) ) )
| ( ( dc @ X1 @ X2 )
= $true ) ),
inference(beta-eta_normalization,[],[f124]) ).
thf(f129,plain,
! [X2: reg,X1: reg] :
( ( ( dc @ X1 @ X2 )
= $true )
| ( ( c @ X1 @ X2 )
= $true ) ),
inference(not_proxy_clausification,[],[f128]) ).
thf(f134,plain,
( ( ( c @ catalunya @ paris )
= $true )
| ( $false = $true )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f78,f129]) ).
thf(f135,plain,
( ( $false = $true )
| ( $true
= ( c @ spain @ paris ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f100,f129]) ).
thf(f136,plain,
( ( $true
= ( c @ spain @ paris ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f135]) ).
thf(f137,plain,
( ( ( c @ catalunya @ paris )
= $true )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f134]) ).
thf(f142,plain,
( ( ( c @ paris @ catalunya )
= $true )
| ( $true != $true )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f58,f137]) ).
thf(f143,plain,
( ( ( c @ paris @ catalunya )
= $true )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f142]) ).
thf(f148,plain,
! [X1: reg] :
( ( ec @ X1 )
= ( ^ [Y0: reg,Y1: reg] :
( ( c @ Y0 @ Y1 )
& ~ ( o @ Y0 @ Y1 ) )
@ X1 ) ),
inference(argument_congruence,[],[f55]) ).
thf(f149,plain,
! [X1: reg] :
( ( ^ [Y0: reg] :
( ( c @ X1 @ Y0 )
& ~ ( o @ X1 @ Y0 ) ) )
= ( ec @ X1 ) ),
inference(beta-eta_normalization,[],[f148]) ).
thf(f150,plain,
! [X2: reg,X1: reg] :
( ( ^ [Y0: reg] :
( ( c @ X1 @ Y0 )
& ~ ( o @ X1 @ Y0 ) )
@ X2 )
= ( ec @ X1 @ X2 ) ),
inference(argument_congruence,[],[f149]) ).
thf(f151,plain,
! [X2: reg,X1: reg] :
( ( ( ^ [Y0: reg] :
( ( c @ X1 @ Y0 )
& ~ ( o @ X1 @ Y0 ) )
@ X2 )
= $true )
| ( $false
= ( ec @ X1 @ X2 ) ) ),
inference(iff_proxy_clausification,[],[f150]) ).
thf(f152,plain,
! [X2: reg,X1: reg] :
( ( ( ec @ X1 @ X2 )
= $true )
| ( ( ^ [Y0: reg] :
( ( c @ X1 @ Y0 )
& ~ ( o @ X1 @ Y0 ) )
@ X2 )
= $false ) ),
inference(iff_proxy_clausification,[],[f150]) ).
thf(f153,plain,
! [X2: reg,X1: reg] :
( ( ( ec @ X1 @ X2 )
= $true )
| ( $false
= ( ( c @ X1 @ X2 )
& ~ ( o @ X1 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f152]) ).
thf(f154,plain,
! [X2: reg,X1: reg] :
( ( ( ec @ X1 @ X2 )
= $true )
| ( ( ~ ( o @ X1 @ X2 ) )
= $false )
| ( ( c @ X1 @ X2 )
= $false ) ),
inference(and_proxy_clausification,[],[f153]) ).
thf(f155,plain,
! [X2: reg,X1: reg] :
( ( ( ec @ X1 @ X2 )
= $true )
| ( ( o @ X1 @ X2 )
= $true )
| ( ( c @ X1 @ X2 )
= $false ) ),
inference(not_proxy_clausification,[],[f154]) ).
thf(f156,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( ( c @ X1 @ X2 )
& ~ ( o @ X1 @ X2 ) ) )
| ( $false
= ( ec @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f151]) ).
thf(f157,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( ec @ X1 @ X2 ) )
| ( ( ~ ( o @ X1 @ X2 ) )
= $true ) ),
inference(and_proxy_clausification,[],[f156]) ).
thf(f159,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( ec @ X1 @ X2 ) )
| ( $false
= ( o @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f157]) ).
thf(f169,plain,
( ( $false = $true )
| ( $false
= ( o @ spain @ france ) ) ),
inference(constrained_superposition,[],[f56,f159]) ).
thf(f170,plain,
( $false
= ( o @ spain @ france ) ),
inference(trivial_inequality_removal,[],[f169]) ).
thf(f176,plain,
! [X1: reg] :
( ( pp @ X1 )
= ( ^ [Y0: reg,Y1: reg] :
( ( p @ Y0 @ Y1 )
& ~ ( p @ Y1 @ Y0 ) )
@ X1 ) ),
inference(argument_congruence,[],[f63]) ).
thf(f177,plain,
! [X1: reg] :
( ( ^ [Y0: reg] :
( ( p @ X1 @ Y0 )
& ~ ( p @ Y0 @ X1 ) ) )
= ( pp @ X1 ) ),
inference(beta-eta_normalization,[],[f176]) ).
thf(f178,plain,
! [X2: reg,X1: reg] :
( ( pp @ X1 @ X2 )
= ( ^ [Y0: reg] :
( ( p @ X1 @ Y0 )
& ~ ( p @ Y0 @ X1 ) )
@ X2 ) ),
inference(argument_congruence,[],[f177]) ).
thf(f180,plain,
! [X2: reg,X1: reg] :
( ( ( pp @ X1 @ X2 )
= $false )
| ( $true
= ( ^ [Y0: reg] :
( ( p @ X1 @ Y0 )
& ~ ( p @ Y0 @ X1 ) )
@ X2 ) ) ),
inference(iff_proxy_clausification,[],[f178]) ).
thf(f181,plain,
! [X2: reg,X1: reg] :
( ( ( pp @ X1 @ X2 )
= $false )
| ( $true
= ( ( p @ X1 @ X2 )
& ~ ( p @ X2 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f180]) ).
thf(f183,plain,
! [X2: reg,X1: reg] :
( ( ( pp @ X1 @ X2 )
= $false )
| ( ( p @ X1 @ X2 )
= $true ) ),
inference(and_proxy_clausification,[],[f181]) ).
thf(f192,plain,
! [X1: reg] :
( ( ^ [Y0: reg,Y1: reg] :
( ?? @ reg
@ ^ [Y2: reg] :
( ( p @ Y2 @ Y1 )
& ( p @ Y2 @ Y0 ) ) )
@ X1 )
= ( o @ X1 ) ),
inference(argument_congruence,[],[f49]) ).
thf(f193,plain,
! [X1: reg] :
( ( o @ X1 )
= ( ^ [Y0: reg] :
( ?? @ reg
@ ^ [Y1: reg] :
( ( p @ Y1 @ Y0 )
& ( p @ Y1 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f192]) ).
thf(f194,plain,
! [X2: reg,X1: reg] :
( ( ^ [Y0: reg] :
( ?? @ reg
@ ^ [Y1: reg] :
( ( p @ Y1 @ Y0 )
& ( p @ Y1 @ X1 ) ) )
@ X2 )
= ( o @ X1 @ X2 ) ),
inference(argument_congruence,[],[f193]) ).
thf(f195,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( o @ X1 @ X2 ) )
| ( ( ^ [Y0: reg] :
( ?? @ reg
@ ^ [Y1: reg] :
( ( p @ Y1 @ Y0 )
& ( p @ Y1 @ X1 ) ) )
@ X2 )
= $true ) ),
inference(iff_proxy_clausification,[],[f194]) ).
thf(f196,plain,
! [X2: reg,X1: reg] :
( ( ( o @ X1 @ X2 )
= $true )
| ( ( ^ [Y0: reg] :
( ?? @ reg
@ ^ [Y1: reg] :
( ( p @ Y1 @ Y0 )
& ( p @ Y1 @ X1 ) ) )
@ X2 )
= $false ) ),
inference(iff_proxy_clausification,[],[f194]) ).
thf(f197,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( ?? @ reg
@ ^ [Y0: reg] :
( ( p @ Y0 @ X2 )
& ( p @ Y0 @ X1 ) ) ) )
| ( ( o @ X1 @ X2 )
= $true ) ),
inference(beta-eta_normalization,[],[f196]) ).
thf(f198,plain,
! [X2: reg,X3: reg,X1: reg] :
( ( ( o @ X1 @ X2 )
= $true )
| ( ( ^ [Y0: reg] :
( ( p @ Y0 @ X2 )
& ( p @ Y0 @ X1 ) )
@ X3 )
= $false ) ),
inference(pi_proxy_clausification,[],[f197]) ).
thf(f199,plain,
! [X2: reg,X3: reg,X1: reg] :
( ( ( o @ X1 @ X2 )
= $true )
| ( ( ( p @ X3 @ X2 )
& ( p @ X3 @ X1 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f198]) ).
thf(f200,plain,
! [X2: reg,X3: reg,X1: reg] :
( ( $false
= ( p @ X3 @ X2 ) )
| ( ( o @ X1 @ X2 )
= $true )
| ( $false
= ( p @ X3 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f199]) ).
thf(f201,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( o @ X1 @ X2 ) )
| ( $true
= ( ?? @ reg
@ ^ [Y0: reg] :
( ( p @ Y0 @ X2 )
& ( p @ Y0 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f195]) ).
thf(f202,plain,
! [X2: reg,X1: reg] :
( ( ( ^ [Y0: reg] :
( ( p @ Y0 @ X2 )
& ( p @ Y0 @ X1 ) )
@ ( sK3 @ X1 @ X2 ) )
= $true )
| ( $false
= ( o @ X1 @ X2 ) ) ),
inference(sigma_proxy_clausification,[],[f201]) ).
thf(f203,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( o @ X1 @ X2 ) )
| ( ( ( p @ ( sK3 @ X1 @ X2 ) @ X2 )
& ( p @ ( sK3 @ X1 @ X2 ) @ X1 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f202]) ).
thf(f204,plain,
! [X2: reg,X1: reg] :
( ( ( p @ ( sK3 @ X1 @ X2 ) @ X1 )
= $true )
| ( $false
= ( o @ X1 @ X2 ) ) ),
inference(and_proxy_clausification,[],[f203]) ).
thf(f205,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( p @ ( sK3 @ X1 @ X2 ) @ X2 ) )
| ( $false
= ( o @ X1 @ X2 ) ) ),
inference(and_proxy_clausification,[],[f203]) ).
thf(f206,plain,
! [X2: reg,X0: reg,X1: reg] :
( ( ( o @ X0 @ X1 )
= $false )
| ( ( p @ ( sK3 @ X0 @ X1 ) @ X2 )
= $false )
| ( ( o @ X2 @ X0 )
= $true )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f200,f204]) ).
thf(f212,plain,
! [X2: reg,X0: reg,X1: reg] :
( ( ( p @ ( sK3 @ X0 @ X1 ) @ X2 )
= $false )
| ( ( o @ X0 @ X1 )
= $false )
| ( ( o @ X2 @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f206]) ).
thf(f216,plain,
! [X1: reg] :
( ( p @ X1 )
= ( ^ [Y0: reg,Y1: reg] :
( !! @ reg
@ ^ [Y2: reg] :
( ( c @ Y2 @ Y0 )
=> ( c @ Y2 @ Y1 ) ) )
@ X1 ) ),
inference(argument_congruence,[],[f50]) ).
thf(f217,plain,
! [X1: reg] :
( ( p @ X1 )
= ( ^ [Y0: reg] :
( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ X1 )
=> ( c @ Y1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f216]) ).
thf(f232,plain,
! [X0: reg,X1: reg] :
( ( $false = $true )
| ( $true
= ( o @ X1 @ X0 ) )
| ( ( o @ X0 @ X1 )
= $false )
| ( ( o @ X0 @ X1 )
= $false ) ),
inference(constrained_superposition,[],[f205,f212]) ).
thf(f237,plain,
! [X0: reg,X1: reg] :
( ( $true
= ( o @ X1 @ X0 ) )
| ( ( o @ X0 @ X1 )
= $false )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[],[f232]) ).
thf(f238,plain,
! [X0: reg,X1: reg] :
( ( $true
= ( o @ X1 @ X0 ) )
| ( ( o @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f237]) ).
thf(f247,plain,
( ( ( o @ france @ spain )
= $false )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f238,f170]) ).
thf(f251,plain,
( ( o @ france @ spain )
= $false ),
inference(trivial_inequality_removal,[],[f247]) ).
thf(f259,plain,
! [X2: reg,X1: reg] :
( ( p @ X1 @ X2 )
= ( ^ [Y0: reg] :
( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ X1 )
=> ( c @ Y1 @ Y0 ) ) )
@ X2 ) ),
inference(argument_congruence,[],[f217]) ).
thf(f260,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( ^ [Y0: reg] :
( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ X1 )
=> ( c @ Y1 @ Y0 ) ) )
@ X2 ) )
| ( ( p @ X1 @ X2 )
= $true ) ),
inference(iff_proxy_clausification,[],[f259]) ).
thf(f261,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( ^ [Y0: reg] :
( !! @ reg
@ ^ [Y1: reg] :
( ( c @ Y1 @ X1 )
=> ( c @ Y1 @ Y0 ) ) )
@ X2 ) )
| ( ( p @ X1 @ X2 )
= $false ) ),
inference(iff_proxy_clausification,[],[f259]) ).
thf(f262,plain,
! [X2: reg,X1: reg] :
( ( ( p @ X1 @ X2 )
= $false )
| ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ X2 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f261]) ).
thf(f263,plain,
! [X2: reg,X3: reg,X1: reg] :
( ( ( p @ X1 @ X2 )
= $false )
| ( $true
= ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ X2 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f262]) ).
thf(f264,plain,
! [X2: reg,X3: reg,X1: reg] :
( ( ( p @ X1 @ X2 )
= $false )
| ( ( ( c @ X3 @ X1 )
=> ( c @ X3 @ X2 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f263]) ).
thf(f265,plain,
! [X2: reg,X3: reg,X1: reg] :
( ( $false
= ( c @ X3 @ X1 ) )
| ( ( c @ X3 @ X2 )
= $true )
| ( ( p @ X1 @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f264]) ).
thf(f266,plain,
! [X2: reg,X1: reg] :
( ( ( !! @ reg
@ ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ X2 ) ) )
= $false )
| ( ( p @ X1 @ X2 )
= $true ) ),
inference(beta-eta_normalization,[],[f260]) ).
thf(f267,plain,
! [X2: reg,X1: reg] :
( ( ( p @ X1 @ X2 )
= $true )
| ( $false
= ( ^ [Y0: reg] :
( ( c @ Y0 @ X1 )
=> ( c @ Y0 @ X2 ) )
@ ( sK4 @ X1 @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f266]) ).
thf(f268,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( ( c @ ( sK4 @ X1 @ X2 ) @ X1 )
=> ( c @ ( sK4 @ X1 @ X2 ) @ X2 ) ) )
| ( ( p @ X1 @ X2 )
= $true ) ),
inference(beta-eta_normalization,[],[f267]) ).
thf(f269,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( c @ ( sK4 @ X1 @ X2 ) @ X2 ) )
| ( ( p @ X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f268]) ).
thf(f270,plain,
! [X2: reg,X1: reg] :
( ( ( c @ ( sK4 @ X1 @ X2 ) @ X1 )
= $true )
| ( ( p @ X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f268]) ).
thf(f315,plain,
! [X2: reg,X0: reg,X1: reg] :
( ( ( p @ X0 @ X1 )
= $true )
| ( ( c @ ( sK4 @ X0 @ X1 ) @ X2 )
= $true )
| ( $false = $true )
| ( $false
= ( p @ X0 @ X2 ) ) ),
inference(constrained_superposition,[],[f265,f270]) ).
thf(f327,plain,
( ! [X0: reg] :
( ( $false = $true )
| ( ( p @ catalunya @ X0 )
= $false )
| ( ( c @ paris @ X0 )
= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f143,f265]) ).
thf(f339,plain,
( ! [X0: reg] :
( ( ( p @ catalunya @ X0 )
= $false )
| ( ( c @ paris @ X0 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f327]) ).
thf(f341,plain,
! [X2: reg,X0: reg,X1: reg] :
( ( ( c @ ( sK4 @ X0 @ X1 ) @ X2 )
= $true )
| ( ( p @ X0 @ X1 )
= $true )
| ( $false
= ( p @ X0 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f315]) ).
thf(f384,plain,
! [X1: reg] :
( ( ^ [Y0: reg,Y1: reg] :
( ( pp @ Y0 @ Y1 )
& ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y1 )
& ( ec @ Y2 @ Y0 ) ) ) )
@ X1 )
= ( tpp @ X1 ) ),
inference(argument_congruence,[],[f54]) ).
thf(f385,plain,
! [X1: reg] :
( ( tpp @ X1 )
= ( ^ [Y0: reg] :
( ( pp @ X1 @ Y0 )
& ( ?? @ reg
@ ^ [Y1: reg] :
( ( ec @ Y1 @ Y0 )
& ( ec @ Y1 @ X1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f384]) ).
thf(f417,plain,
! [X2: reg,X3: reg,X0: reg,X1: reg] :
( ( ( c @ ( sK4 @ X0 @ X1 ) @ X3 )
= $true )
| ( ( p @ X0 @ X1 )
= $true )
| ( $false
= ( p @ X2 @ X3 ) )
| ( $false = $true )
| ( $false
= ( p @ X0 @ X2 ) ) ),
inference(constrained_superposition,[],[f341,f265]) ).
thf(f421,plain,
! [X2: reg,X3: reg,X0: reg,X1: reg] :
( ( ( c @ ( sK4 @ X0 @ X1 ) @ X3 )
= $true )
| ( $false
= ( p @ X0 @ X2 ) )
| ( ( p @ X0 @ X1 )
= $true )
| ( $false
= ( p @ X2 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f417]) ).
thf(f574,plain,
! [X2: reg,X0: reg,X1: reg] :
( ( ( p @ X2 @ X1 )
= $false )
| ( $false = $true )
| ( ( p @ X0 @ X1 )
= $true )
| ( ( p @ X0 @ X1 )
= $true )
| ( $false
= ( p @ X0 @ X2 ) ) ),
inference(constrained_superposition,[],[f269,f421]) ).
thf(f577,plain,
! [X2: reg,X0: reg,X1: reg] :
( ( ( p @ X0 @ X1 )
= $true )
| ( ( p @ X2 @ X1 )
= $false )
| ( $false
= ( p @ X0 @ X2 ) )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[],[f574]) ).
thf(f578,plain,
! [X2: reg,X0: reg,X1: reg] :
( ( $false
= ( p @ X0 @ X2 ) )
| ( ( p @ X0 @ X1 )
= $true )
| ( ( p @ X2 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f577]) ).
thf(f589,plain,
! [X2: reg,X0: reg,X1: reg] :
( ( ( o @ X0 @ X1 )
= $false )
| ( ( p @ ( sK3 @ X0 @ X1 ) @ X2 )
= $true )
| ( $false = $true )
| ( ( p @ X1 @ X2 )
= $false ) ),
inference(constrained_superposition,[],[f205,f578]) ).
thf(f592,plain,
! [X2: reg,X0: reg,X1: reg] :
( ( ( p @ ( sK3 @ X0 @ X1 ) @ X2 )
= $true )
| ( ( o @ X0 @ X1 )
= $false )
| ( ( p @ X1 @ X2 )
= $false ) ),
inference(trivial_inequality_removal,[],[f589]) ).
thf(f610,plain,
! [X2: reg,X0: reg,X1: reg] :
( ( ( o @ X0 @ X1 )
= $false )
| ( $false = $true )
| ( ( o @ X0 @ X1 )
= $false )
| ( ( o @ X2 @ X0 )
= $true )
| ( ( p @ X1 @ X2 )
= $false ) ),
inference(constrained_superposition,[],[f212,f592]) ).
thf(f612,plain,
! [X2: reg,X0: reg,X1: reg] :
( ( ( o @ X2 @ X0 )
= $true )
| ( ( o @ X0 @ X1 )
= $false )
| ( ( p @ X1 @ X2 )
= $false )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[],[f610]) ).
thf(f613,plain,
! [X2: reg,X0: reg,X1: reg] :
( ( ( o @ X2 @ X0 )
= $true )
| ( ( p @ X1 @ X2 )
= $false )
| ( ( o @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f612]) ).
thf(f640,plain,
! [X0: reg] :
( ( ( o @ spain @ X0 )
= $false )
| ( $false = $true )
| ( $false
= ( p @ X0 @ france ) ) ),
inference(constrained_superposition,[],[f613,f251]) ).
thf(f647,plain,
! [X0: reg] :
( ( $false
= ( p @ X0 @ france ) )
| ( ( o @ spain @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f640]) ).
thf(f657,plain,
! [X1: reg] :
( ( ^ [Y0: reg,Y1: reg] :
( ( pp @ Y0 @ Y1 )
& ~ ( ?? @ reg
@ ^ [Y2: reg] :
( ( ec @ Y2 @ Y1 )
& ( ec @ Y2 @ Y0 ) ) ) )
@ X1 )
= ( ntpp @ X1 ) ),
inference(argument_congruence,[],[f62]) ).
thf(f658,plain,
! [X1: reg] :
( ( ^ [Y0: reg] :
( ( pp @ X1 @ Y0 )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( ec @ Y1 @ Y0 )
& ( ec @ Y1 @ X1 ) ) ) ) )
= ( ntpp @ X1 ) ),
inference(beta-eta_normalization,[],[f657]) ).
thf(f895,plain,
! [X2: reg,X1: reg] :
( ( tpp @ X1 @ X2 )
= ( ^ [Y0: reg] :
( ( pp @ X1 @ Y0 )
& ( ?? @ reg
@ ^ [Y1: reg] :
( ( ec @ Y1 @ Y0 )
& ( ec @ Y1 @ X1 ) ) ) )
@ X2 ) ),
inference(argument_congruence,[],[f385]) ).
thf(f897,plain,
! [X2: reg,X1: reg] :
( ( ( ^ [Y0: reg] :
( ( pp @ X1 @ Y0 )
& ( ?? @ reg
@ ^ [Y1: reg] :
( ( ec @ Y1 @ Y0 )
& ( ec @ Y1 @ X1 ) ) ) )
@ X2 )
= $true )
| ( ( tpp @ X1 @ X2 )
= $false ) ),
inference(iff_proxy_clausification,[],[f895]) ).
thf(f898,plain,
! [X2: reg,X1: reg] :
( ( $true
= ( ( pp @ X1 @ X2 )
& ( ?? @ reg
@ ^ [Y0: reg] :
( ( ec @ Y0 @ X2 )
& ( ec @ Y0 @ X1 ) ) ) ) )
| ( ( tpp @ X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f897]) ).
thf(f900,plain,
! [X2: reg,X1: reg] :
( ( ( tpp @ X1 @ X2 )
= $false )
| ( ( pp @ X1 @ X2 )
= $true ) ),
inference(and_proxy_clausification,[],[f898]) ).
thf(f911,plain,
( ( $true
= ( pp @ catalunya @ spain ) )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f57,f900]) ).
thf(f912,plain,
( $true
= ( pp @ catalunya @ spain ) ),
inference(trivial_inequality_removal,[],[f911]) ).
thf(f917,plain,
( ( ( p @ catalunya @ spain )
= $true )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f183,f912]) ).
thf(f920,plain,
( ( p @ catalunya @ spain )
= $true ),
inference(trivial_inequality_removal,[],[f917]) ).
thf(f931,plain,
( ( $false = $true )
| ( ( c @ paris @ spain )
= $true )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f339,f920]) ).
thf(f941,plain,
( ( ( c @ paris @ spain )
= $true )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f931]) ).
thf(f1096,plain,
! [X2: reg,X1: reg] :
( ( ^ [Y0: reg] :
( ( pp @ X1 @ Y0 )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( ec @ Y1 @ Y0 )
& ( ec @ Y1 @ X1 ) ) ) )
@ X2 )
= ( ntpp @ X1 @ X2 ) ),
inference(argument_congruence,[],[f658]) ).
thf(f1097,plain,
! [X2: reg,X1: reg] :
( ( ( ntpp @ X1 @ X2 )
= $false )
| ( ( ^ [Y0: reg] :
( ( pp @ X1 @ Y0 )
& ~ ( ?? @ reg
@ ^ [Y1: reg] :
( ( ec @ Y1 @ Y0 )
& ( ec @ Y1 @ X1 ) ) ) )
@ X2 )
= $true ) ),
inference(iff_proxy_clausification,[],[f1096]) ).
thf(f1106,plain,
! [X2: reg,X1: reg] :
( ( ( ntpp @ X1 @ X2 )
= $false )
| ( ( ( pp @ X1 @ X2 )
& ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( ec @ Y0 @ X2 )
& ( ec @ Y0 @ X1 ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f1097]) ).
thf(f1107,plain,
! [X2: reg,X1: reg] :
( ( ( ntpp @ X1 @ X2 )
= $false )
| ( ( ~ ( ?? @ reg
@ ^ [Y0: reg] :
( ( ec @ Y0 @ X2 )
& ( ec @ Y0 @ X1 ) ) ) )
= $true ) ),
inference(and_proxy_clausification,[],[f1106]) ).
thf(f1108,plain,
! [X2: reg,X1: reg] :
( ( ( ntpp @ X1 @ X2 )
= $false )
| ( ( pp @ X1 @ X2 )
= $true ) ),
inference(and_proxy_clausification,[],[f1106]) ).
thf(f1109,plain,
! [X2: reg,X1: reg] :
( ( $false
= ( ?? @ reg
@ ^ [Y0: reg] :
( ( ec @ Y0 @ X2 )
& ( ec @ Y0 @ X1 ) ) ) )
| ( ( ntpp @ X1 @ X2 )
= $false ) ),
inference(not_proxy_clausification,[],[f1107]) ).
thf(f1110,plain,
! [X2: reg,X3: reg,X1: reg] :
( ( $false
= ( ^ [Y0: reg] :
( ( ec @ Y0 @ X2 )
& ( ec @ Y0 @ X1 ) )
@ X3 ) )
| ( ( ntpp @ X1 @ X2 )
= $false ) ),
inference(pi_proxy_clausification,[],[f1109]) ).
thf(f1111,plain,
! [X2: reg,X3: reg,X1: reg] :
( ( ( ntpp @ X1 @ X2 )
= $false )
| ( $false
= ( ( ec @ X3 @ X2 )
& ( ec @ X3 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f1110]) ).
thf(f1112,plain,
! [X2: reg,X3: reg,X1: reg] :
( ( $false
= ( ec @ X3 @ X2 ) )
| ( ( ntpp @ X1 @ X2 )
= $false )
| ( $false
= ( ec @ X3 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f1111]) ).
thf(f1113,plain,
( ( $false = $true )
| ( ( pp @ paris @ france )
= $true ) ),
inference(constrained_superposition,[],[f1108,f51]) ).
thf(f1115,plain,
( ( pp @ paris @ france )
= $true ),
inference(trivial_inequality_removal,[],[f1113]) ).
thf(f1118,plain,
( ( $true
= ( p @ paris @ france ) )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f1115,f183]) ).
thf(f1121,plain,
( $true
= ( p @ paris @ france ) ),
inference(trivial_inequality_removal,[],[f1118]) ).
thf(f1132,plain,
( ( $false = $true )
| ( ( o @ spain @ paris )
= $false ) ),
inference(constrained_superposition,[],[f647,f1121]) ).
thf(f1145,plain,
( ( o @ spain @ paris )
= $false ),
inference(trivial_inequality_removal,[],[f1132]) ).
thf(f1576,plain,
! [X0: reg] :
( ( $false = $true )
| ( ( ec @ spain @ X0 )
= $false )
| ( ( ntpp @ X0 @ france )
= $false ) ),
inference(constrained_superposition,[],[f1112,f56]) ).
thf(f1586,plain,
! [X0: reg] :
( ( ( ntpp @ X0 @ france )
= $false )
| ( ( ec @ spain @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1576]) ).
thf(f1591,plain,
( ( $false = $true )
| ( ( ec @ spain @ paris )
= $false ) ),
inference(constrained_superposition,[],[f1586,f51]) ).
thf(f1593,plain,
( ( ec @ spain @ paris )
= $false ),
inference(trivial_inequality_removal,[],[f1591]) ).
thf(f1595,plain,
( ( $false = $true )
| ( ( o @ spain @ paris )
= $true )
| ( $false
= ( c @ spain @ paris ) ) ),
inference(constrained_superposition,[],[f1593,f155]) ).
thf(f1598,plain,
( ( ( o @ spain @ paris )
= $true )
| ( $false
= ( c @ spain @ paris ) ) ),
inference(trivial_inequality_removal,[],[f1595]) ).
thf(f1601,plain,
( ( ( o @ spain @ paris )
= $true )
| ( $false = $true )
| ~ spl2_6 ),
inference(forward_demodulation,[],[f1598,f136]) ).
thf(f1602,plain,
( ( ( o @ spain @ paris )
= $true )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f1601]) ).
thf(f1603,plain,
( ( $false = $true )
| ~ spl2_6 ),
inference(forward_demodulation,[],[f1602,f1145]) ).
thf(f1604,plain,
( $false
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f1603]) ).
thf(f1605,plain,
~ spl2_6,
inference(avatar_contradiction_clause,[],[f1604]) ).
thf(f1613,plain,
( ( $false
= ( c @ spain @ paris ) )
| ( $false != $false )
| spl2_6 ),
inference(constrained_superposition,[],[f99,f127]) ).
thf(f1614,plain,
( ( $false
= ( c @ spain @ paris ) )
| spl2_6 ),
inference(trivial_inequality_removal,[],[f1613]) ).
thf(f1627,plain,
( ( $true != $true )
| ( $true
= ( c @ spain @ paris ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f58,f941]) ).
thf(f1628,plain,
( ( $true
= ( c @ spain @ paris ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f1627]) ).
thf(f1631,plain,
( ( $false = $true )
| ~ spl2_1
| spl2_6 ),
inference(forward_demodulation,[],[f1628,f1614]) ).
thf(f1632,plain,
( $false
| ~ spl2_1
| spl2_6 ),
inference(trivial_inequality_removal,[],[f1631]) ).
thf(f1633,plain,
( ~ spl2_1
| spl2_6 ),
inference(avatar_contradiction_clause,[],[f1632]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f83]) ).
cnf(s3,plain,
( spl2_5
| spl2_6 ),
inference(sat_conversion,[],[f101]) ).
cnf(s5,plain,
( ~ spl2_2
| ~ spl2_5 ),
inference(sat_conversion,[],[f111]) ).
cnf(s8,plain,
~ spl2_6,
inference(sat_conversion,[],[f1605]) ).
cnf(s10,plain,
( ~ spl2_1
| spl2_6 ),
inference(sat_conversion,[],[f1633]) ).
cnf(s11,plain,
~ spl2_1,
inference(rat,[],[s10,s8]) ).
cnf(s12,plain,
spl2_5,
inference(rat,[],[s3,s8]) ).
cnf(s14,plain,
~ spl2_2,
inference(rat,[],[s5,s12]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s14,s11]) ).
thf(f1634,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEG002^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n017.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 18:29:08 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running higher-order theorem proving
% 0.06/0.23 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
% 0.19/0.34 % (720627)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.34 % (720638)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.19/0.34 % (720638)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
% 0.19/0.34 % (720638)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=866162912:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.19/0.34 % (720632)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2131177222:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.19/0.34 % (720634)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3706499741:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.19/0.34 % (720633)lrs+10_16_si=on:nwc=1.5:random_seed=1318747746:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.34 % (720635)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=1719622567: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)
% 0.19/0.34 % (720636)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3634340175:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.19/0.34 % (720637)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4266107183:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.19/0.34 % (720634)Instruction limit reached!
% 0.19/0.34 % (720634)------------------------------
% 0.19/0.34 % (720634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (720634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (720634)CaDiCaL version: 2.1.3
% 0.19/0.34 % (720634)Termination reason: Instruction limit
% 0.19/0.34 % (720634)Termination phase: Property scanning
% 0.19/0.34 % (720634)Time elapsed: 0.002 s
% 0.19/0.34 % (720634)Peak memory usage: 10 MB
% 0.19/0.34 % (720634)Instructions burned: 4 (million)
% 0.19/0.34 % (720633)Instruction limit reached!
% 0.19/0.34 % (720633)------------------------------
% 0.19/0.34 % (720633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (720633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (720633)CaDiCaL version: 2.1.3
% 0.19/0.34 % (720633)Termination reason: Instruction limit
% 0.19/0.34 % (720633)Termination phase: Saturation
% 0.19/0.34 % (720633)Time elapsed: 0.010 s
% 0.19/0.34 % (720633)Peak memory usage: 12 MB
% 0.19/0.34 % (720633)Instructions burned: 18 (million)
% 0.19/0.34 % (720636)Instruction limit reached!
% 0.19/0.34 % (720636)------------------------------
% 0.19/0.34 % (720636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (720636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (720636)CaDiCaL version: 2.1.3
% 0.19/0.34 % (720636)Termination reason: Instruction limit
% 0.19/0.34 % (720636)Termination phase: Saturation
% 0.19/0.34 % (720636)Time elapsed: 0.014 s
% 0.19/0.34 % (720636)Peak memory usage: 12 MB
% 0.19/0.34 % (720636)Instructions burned: 25 (million)
% 0.19/0.34 % (720646)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3620206048:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.19/0.34 % (720646)Instruction limit reached!
% 0.19/0.34 % (720646)------------------------------
% 0.19/0.34 % (720646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34 % (720646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34 % (720646)CaDiCaL version: 2.1.3
% 0.19/0.34 % (720646)Termination reason: Instruction limit
% 0.19/0.34 % (720646)Termination phase: Property scanning
% 0.19/0.34 % (720646)Time elapsed: 0.002 s
% 0.19/0.34 % (720646)Peak memory usage: 10 MB
% 0.19/0.34 % (720646)Instructions burned: 4 (million)
% 0.19/0.34 % (720647)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1545094959:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.19/0.34 % (720648)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.36 % (720647)Instruction limit reached!
% 0.83/0.36 % (720647)------------------------------
% 0.83/0.36 % (720647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.36 % (720647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.36 % (720647)CaDiCaL version: 2.1.3
% 0.83/0.36 % (720647)Termination reason: Instruction limit
% 0.83/0.36 % (720647)Termination phase: Saturation
% 0.83/0.36 % (720647)Time elapsed: 0.003 s
% 0.83/0.36 % (720647)Peak memory usage: 11 MB
% 0.83/0.36 % (720647)Instructions burned: 6 (million)
% 0.83/0.36 % (720648)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1008743564:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.83/0.36 % (720638)Instruction limit reached!
% 0.83/0.36 % (720638)------------------------------
% 0.83/0.36 % (720638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.36 % (720638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.36 % (720638)CaDiCaL version: 2.1.3
% 0.83/0.36 % (720638)Termination reason: Instruction limit
% 0.83/0.36 % (720638)Termination phase: Saturation
% 0.83/0.36 % (720638)Time elapsed: 0.044 s
% 0.83/0.36 % (720638)Peak memory usage: 13 MB
% 0.83/0.36 % (720638)Instructions burned: 157 (million)
% 0.83/0.36 % (720648)Instruction limit reached!
% 0.83/0.36 % (720648)------------------------------
% 0.83/0.36 % (720648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.36 % (720648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.36 % (720648)CaDiCaL version: 2.1.3
% 0.83/0.36 % (720648)Termination reason: Instruction limit
% 0.83/0.36 % (720648)Termination phase: Saturation
% 0.83/0.36 % (720648)Time elapsed: 0.004 s
% 0.83/0.36 % (720648)Peak memory usage: 12 MB
% 0.83/0.36 % (720648)Instructions burned: 8 (million)
% 0.83/0.36 % (720637)Instruction limit reached!
% 0.83/0.36 % (720637)------------------------------
% 0.83/0.36 % (720637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.36 % (720637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.36 % (720637)CaDiCaL version: 2.1.3
% 0.83/0.36 % (720637)Termination reason: Instruction limit
% 0.83/0.36 % (720637)Termination phase: Saturation
% 0.83/0.36 % (720637)Time elapsed: 0.039 s
% 0.83/0.36 % (720637)Peak memory usage: 12 MB
% 0.83/0.36 % (720637)Instructions burned: 75 (million)
% 0.83/0.36 % (720650)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3955110880:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.83/0.36 % (720632)Instruction limit reached!
% 0.83/0.36 % (720632)------------------------------
% 0.83/0.36 % (720632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.36 % (720632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.36 % (720632)CaDiCaL version: 2.1.3
% 0.83/0.36 % (720632)Termination reason: Instruction limit
% 0.83/0.36 % (720632)Termination phase: Saturation
% 0.83/0.36 % (720632)Time elapsed: 0.045 s
% 0.83/0.36 % (720632)Peak memory usage: 13 MB
% 0.83/0.36 % (720632)Instructions burned: 87 (million)
% 0.83/0.36 % (720652)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
% 0.83/0.36 % (720652)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.36 % (720654)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=4105118669:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.83/0.36 % (720650)Instruction limit reached!
% 0.83/0.36 % (720650)------------------------------
% 0.83/0.36 % (720650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.36 % (720650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.36 % (720650)CaDiCaL version: 2.1.3
% 0.83/0.36 % (720650)Termination reason: Instruction limit
% 0.83/0.36 % (720650)Termination phase: Saturation
% 0.83/0.36 % (720650)Time elapsed: 0.006 s
% 0.83/0.36 % (720650)Peak memory usage: 12 MB
% 0.83/0.39 % (720650)Instructions burned: 12 (million)
% 0.83/0.39 % (720652)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3323261485:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.83/0.39 % (720656)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.83/0.39 % (720655)lrs+10_1_si=on:cs=on:random_seed=402399413:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.83/0.39 % (720656)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=1344400766:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.83/0.39 % (720656)Instruction limit reached!
% 0.83/0.39 % (720656)------------------------------
% 0.83/0.39 % (720656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (720656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (720656)CaDiCaL version: 2.1.3
% 0.83/0.39 % (720656)Termination reason: Instruction limit
% 0.83/0.39 % (720656)Termination phase: Property scanning
% 0.83/0.39 % (720656)Time elapsed: 0.002 s
% 0.83/0.39 % (720656)Peak memory usage: 10 MB
% 0.83/0.39 % (720656)Instructions burned: 4 (million)
% 0.83/0.39 % (720655)Instruction limit reached!
% 0.83/0.39 % (720655)------------------------------
% 0.83/0.39 % (720655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (720655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (720655)CaDiCaL version: 2.1.3
% 0.83/0.39 % (720655)Termination reason: Instruction limit
% 0.83/0.39 % (720655)Termination phase: Saturation
% 0.83/0.39 % (720655)Time elapsed: 0.004 s
% 0.83/0.39 % (720655)Peak memory usage: 11 MB
% 0.83/0.39 % (720655)Instructions burned: 9 (million)
% 0.83/0.39 % (720658)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1745486542:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.83/0.39 % (720652)Instruction limit reached!
% 0.83/0.39 % (720652)------------------------------
% 0.83/0.39 % (720652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (720652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (720652)CaDiCaL version: 2.1.3
% 0.83/0.39 % (720652)Termination reason: Instruction limit
% 0.83/0.39 % (720652)Termination phase: Saturation
% 0.83/0.39 % (720652)Time elapsed: 0.015 s
% 0.83/0.39 % (720652)Peak memory usage: 12 MB
% 0.83/0.39 % (720652)Instructions burned: 30 (million)
% 0.83/0.39 % (720660)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4155519581:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.83/0.39 % (720658)Refutation not found, incomplete strategy
% 0.83/0.39 % (720658)------------------------------
% 0.83/0.39 % (720658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (720658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (720658)CaDiCaL version: 2.1.3
% 0.83/0.39 % (720658)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.39 % (720658)Time elapsed: 0.005 s
% 0.83/0.39 % (720658)Peak memory usage: 12 MB
% 0.83/0.39 % (720658)Instructions burned: 9 (million)
% 0.83/0.39 % (720660)Refutation not found, incomplete strategy
% 0.83/0.39 % (720660)------------------------------
% 0.83/0.39 % (720660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (720660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (720660)CaDiCaL version: 2.1.3
% 0.83/0.39 % (720660)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.39 % (720660)Time elapsed: 0.002 s
% 0.83/0.39 % (720660)Peak memory usage: 12 MB
% 0.83/0.39 % (720660)Instructions burned: 2 (million)
% 0.83/0.39 % (720658)------------------------------
% 0.83/0.39 % (720658)------------------------------
% 0.83/0.39 % (720660)------------------------------
% 0.83/0.39 % (720660)------------------------------
% 0.83/0.39 % (720654)Instruction limit reached!
% 0.83/0.39 % (720654)------------------------------
% 0.83/0.39 % (720654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (720654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (720654)CaDiCaL version: 2.1.3
% 0.83/0.42 % (720654)Termination reason: Instruction limit
% 0.83/0.42 % (720654)Termination phase: Saturation
% 0.83/0.42 % (720654)Time elapsed: 0.025 s
% 0.83/0.42 % (720654)Peak memory usage: 13 MB
% 0.83/0.42 % (720654)Instructions burned: 89 (million)
% 0.83/0.42 % (720664)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1838147465:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.83/0.42 % (720665)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=602083939:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.83/0.42 % (720671)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1813962431:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.83/0.42 % (720667)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2839706188:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.83/0.42 % (720669)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4014961844:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.83/0.42 % (720670)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2283622133:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.83/0.42 % (720665)Instruction limit reached!
% 0.83/0.42 % (720665)------------------------------
% 0.83/0.42 % (720665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (720665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (720665)CaDiCaL version: 2.1.3
% 0.83/0.42 % (720665)Termination reason: Instruction limit
% 0.83/0.42 % (720665)Termination phase: Saturation
% 0.83/0.42 % (720665)Time elapsed: 0.008 s
% 0.83/0.42 % (720665)Peak memory usage: 12 MB
% 0.83/0.42 % (720665)Instructions burned: 14 (million)
% 0.83/0.42 % (720671)Instruction limit reached!
% 0.83/0.42 % (720671)------------------------------
% 0.83/0.42 % (720671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (720671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (720671)CaDiCaL version: 2.1.3
% 0.83/0.42 % (720671)Termination reason: Instruction limit
% 0.83/0.42 % (720671)Termination phase: Saturation
% 0.83/0.42 % (720671)Time elapsed: 0.007 s
% 0.83/0.42 % (720671)Peak memory usage: 12 MB
% 0.83/0.42 % (720671)Instructions burned: 26 (million)
% 0.83/0.42 % (720670)Instruction limit reached!
% 0.83/0.42 % (720670)------------------------------
% 0.83/0.42 % (720670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (720670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (720670)CaDiCaL version: 2.1.3
% 0.83/0.42 % (720670)Termination reason: Instruction limit
% 0.83/0.42 % (720670)Termination phase: Property scanning
% 0.83/0.42 % (720670)Time elapsed: 0.002 s
% 0.83/0.42 % (720670)Peak memory usage: 11 MB
% 0.83/0.42 % (720670)Instructions burned: 4 (million)
% 0.83/0.42 % (720667)Refutation not found, incomplete strategy
% 0.83/0.42 % (720667)------------------------------
% 0.83/0.42 % (720667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (720667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (720667)CaDiCaL version: 2.1.3
% 0.83/0.42 % (720667)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.42 % (720667)Time elapsed: 0.009 s
% 0.83/0.42 % (720667)Peak memory usage: 12 MB
% 0.83/0.42 % (720667)Instructions burned: 15 (million)
% 0.83/0.42 % (720667)------------------------------
% 0.83/0.42 % (720667)------------------------------
% 0.83/0.42 % (720664)Instruction limit reached!
% 0.83/0.42 % (720664)------------------------------
% 0.83/0.42 % (720664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (720664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (720664)CaDiCaL version: 2.1.3
% 0.83/0.42 % (720664)Termination reason: Instruction limit
% 0.83/0.42 % (720664)Termination phase: Saturation
% 0.83/0.42 % (720664)Time elapsed: 0.016 s
% 0.83/0.42 % (720664)Peak memory usage: 12 MB
% 0.83/0.42 % (720664)Instructions burned: 25 (million)
% 0.83/0.42 % (720669)Instruction limit reached!
% 0.83/0.42 % (720669)------------------------------
% 0.83/0.42 % (720669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.47 % (720669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.47 % (720669)CaDiCaL version: 2.1.3
% 1.58/0.47 % (720669)Termination reason: Instruction limit
% 1.58/0.47 % (720669)Termination phase: Saturation
% 1.58/0.47 % (720669)Time elapsed: 0.008 s
% 1.58/0.47 % (720669)Peak memory usage: 12 MB
% 1.58/0.47 % (720669)Instructions burned: 15 (million)
% 1.58/0.47 % (720680)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
% 1.58/0.47 % (720680)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.58/0.47 % (720680)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=3001782594:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.58/0.47 % (720680)Instruction limit reached!
% 1.58/0.47 % (720680)------------------------------
% 1.58/0.47 % (720680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.47 % (720680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.47 % (720680)CaDiCaL version: 2.1.3
% 1.58/0.47 % (720680)Termination reason: Instruction limit
% 1.58/0.47 % (720680)Termination phase: Saturation
% 1.58/0.47 % (720680)Time elapsed: 0.005 s
% 1.58/0.47 % (720680)Peak memory usage: 12 MB
% 1.58/0.47 % (720680)Instructions burned: 17 (million)
% 1.58/0.47 % (720681)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.58/0.47 % (720678)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=4198857890:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.58/0.47 % (720679)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1483996237:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.58/0.47 % (720681)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=1405414601:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.58/0.47 % (720682)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=2618982817:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.58/0.47 % (720683)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=247849467:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.58/0.47 % (720681)Instruction limit reached!
% 1.58/0.47 % (720681)------------------------------
% 1.58/0.47 % (720681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.47 % (720681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.47 % (720681)CaDiCaL version: 2.1.3
% 1.58/0.47 % (720681)Termination reason: Instruction limit
% 1.58/0.47 % (720681)Termination phase: Saturation
% 1.58/0.47 % (720681)Time elapsed: 0.004 s
% 1.58/0.47 % (720681)Peak memory usage: 11 MB
% 1.58/0.47 % (720681)Instructions burned: 9 (million)
% 1.58/0.47 % (720685)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1447866673:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.58/0.47 % (720683)Instruction limit reached!
% 1.58/0.47 % (720683)------------------------------
% 1.58/0.47 % (720683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.47 % (720683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.47 % (720683)CaDiCaL version: 2.1.3
% 1.58/0.47 % (720683)Termination reason: Instruction limit
% 1.58/0.47 % (720683)Termination phase: Saturation
% 1.58/0.47 % (720683)Time elapsed: 0.003 s
% 1.58/0.47 % (720683)Peak memory usage: 12 MB
% 1.58/0.47 % (720683)Instructions burned: 7 (million)
% 1.58/0.47 % (720678)Instruction limit reached!
% 1.58/0.47 % (720678)------------------------------
% 1.58/0.47 % (720678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.47 % (720678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.47 % (720678)CaDiCaL version: 2.1.3
% 1.58/0.47 % (720678)Termination reason: Instruction limit
% 1.58/0.51 % (720678)Termination phase: Saturation
% 1.58/0.51 % (720678)Time elapsed: 0.012 s
% 1.58/0.51 % (720678)Peak memory usage: 12 MB
% 1.58/0.51 % (720678)Instructions burned: 23 (million)
% 1.58/0.51 % (720685)Instruction limit reached!
% 1.58/0.51 % (720685)------------------------------
% 1.58/0.51 % (720685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.51 % (720685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.51 % (720685)CaDiCaL version: 2.1.3
% 1.58/0.51 % (720685)Termination reason: Instruction limit
% 1.58/0.51 % (720685)Termination phase: Saturation
% 1.58/0.51 % (720685)Time elapsed: 0.005 s
% 1.58/0.51 % (720685)Peak memory usage: 11 MB
% 1.58/0.51 % (720685)Instructions burned: 25 (million)
% 1.58/0.51 % (720682)Instruction limit reached!
% 1.58/0.51 % (720682)------------------------------
% 1.58/0.51 % (720682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.51 % (720682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.51 % (720682)CaDiCaL version: 2.1.3
% 1.58/0.51 % (720682)Termination reason: Instruction limit
% 1.58/0.51 % (720682)Termination phase: Saturation
% 1.58/0.51 % (720682)Time elapsed: 0.016 s
% 1.58/0.51 % (720682)Peak memory usage: 12 MB
% 1.58/0.51 % (720682)Instructions burned: 31 (million)
% 1.58/0.51 % (720695)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3494515885:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.58/0.51 % (720691)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2991940613:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.58/0.51 % (720695)Refutation not found, incomplete strategy
% 1.58/0.51 % (720695)------------------------------
% 1.58/0.51 % (720695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.51 % (720695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.51 % (720695)CaDiCaL version: 2.1.3
% 1.58/0.51 % (720695)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.51 % (720695)Time elapsed: 0.001 s
% 1.58/0.51 % (720695)Peak memory usage: 12 MB
% 1.58/0.51 % (720695)Instructions burned: 4 (million)
% 1.58/0.51 % (720695)------------------------------
% 1.58/0.51 % (720695)------------------------------
% 1.58/0.51 % (720693)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=329600424:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.58/0.51 % (720694)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1415789069:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.58/0.51 % (720679)Instruction limit reached!
% 1.58/0.51 % (720679)------------------------------
% 1.58/0.51 % (720679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.51 % (720679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.51 % (720679)CaDiCaL version: 2.1.3
% 1.58/0.51 % (720679)Termination reason: Instruction limit
% 1.58/0.51 % (720679)Termination phase: Saturation
% 1.58/0.51 % (720679)Time elapsed: 0.032 s
% 1.58/0.51 % (720679)Peak memory usage: 12 MB
% 1.58/0.51 % (720679)Instructions burned: 60 (million)
% 1.58/0.51 % (720700)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.58/0.51 % (720700)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2895451198:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.58/0.51 % (720691)Instruction limit reached!
% 1.58/0.51 % (720691)------------------------------
% 1.58/0.51 % (720691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.51 % (720691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.51 % (720691)CaDiCaL version: 2.1.3
% 1.58/0.51 % (720691)Termination reason: Instruction limit
% 1.58/0.51 % (720691)Termination phase: Saturation
% 1.58/0.51 % (720691)Time elapsed: 0.012 s
% 1.58/0.51 % (720691)Peak memory usage: 12 MB
% 1.58/0.51 % (720691)Instructions burned: 20 (million)
% 1.58/0.51 % (720696)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1981727078:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.58/0.51 % (720700)Instruction limit reached!
% 1.58/0.51 % (720700)------------------------------
% 1.58/0.51 % (720700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (720700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (720700)CaDiCaL version: 2.1.3
% 2.26/0.58 % (720700)Termination reason: Instruction limit
% 2.26/0.58 % (720700)Termination phase: Saturation
% 2.26/0.58 % (720700)Time elapsed: 0.002 s
% 2.26/0.58 % (720700)Peak memory usage: 12 MB
% 2.26/0.58 % (720700)Instructions burned: 8 (million)
% 2.26/0.58 % (720706)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.26/0.58 % (720706)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=372114924:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 2.26/0.58 % (720702)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3283019294:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 2.26/0.58 % (720706)Instruction limit reached!
% 2.26/0.58 % (720706)------------------------------
% 2.26/0.58 % (720706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (720706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (720706)CaDiCaL version: 2.1.3
% 2.26/0.58 % (720706)Termination reason: Instruction limit
% 2.26/0.58 % (720706)Termination phase: Saturation
% 2.26/0.58 % (720706)Time elapsed: 0.002 s
% 2.26/0.58 % (720706)Peak memory usage: 12 MB
% 2.26/0.58 % (720706)Instructions burned: 8 (million)
% 2.26/0.58 % (720702)Refutation not found, incomplete strategy
% 2.26/0.58 % (720702)------------------------------
% 2.26/0.58 % (720702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (720702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (720702)CaDiCaL version: 2.1.3
% 2.26/0.58 % (720702)Termination reason: Refutation not found, incomplete strategy
% 2.26/0.58 % (720702)Time elapsed: 0.004 s
% 2.26/0.58 % (720702)Peak memory usage: 12 MB
% 2.26/0.58 % (720702)Instructions burned: 7 (million)
% 2.26/0.58 % (720702)------------------------------
% 2.26/0.58 % (720702)------------------------------
% 2.26/0.58 % (720704)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=3868180815:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 2.26/0.58 % (720696)Instruction limit reached!
% 2.26/0.58 % (720696)------------------------------
% 2.26/0.58 % (720696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (720696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (720696)CaDiCaL version: 2.1.3
% 2.26/0.58 % (720696)Termination reason: Instruction limit
% 2.26/0.58 % (720696)Termination phase: Saturation
% 2.26/0.58 % (720696)Time elapsed: 0.030 s
% 2.26/0.58 % (720696)Peak memory usage: 12 MB
% 2.26/0.58 % (720696)Instructions burned: 56 (million)
% 2.26/0.58 % (720704)Refutation not found, incomplete strategy
% 2.26/0.58 % (720704)------------------------------
% 2.26/0.58 % (720704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (720704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (720704)CaDiCaL version: 2.1.3
% 2.26/0.58 % (720704)Termination reason: Refutation not found, incomplete strategy
% 2.26/0.58 % (720704)Time elapsed: 0.013 s
% 2.26/0.58 % (720704)Peak memory usage: 12 MB
% 2.26/0.58 % (720704)Instructions burned: 6 (million)
% 2.26/0.58 % (720704)------------------------------
% 2.26/0.58 % (720704)------------------------------
% 2.26/0.58 % (720709)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1368570998:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 2.26/0.58 % (720709)Instruction limit reached!
% 2.26/0.58 % (720709)------------------------------
% 2.26/0.58 % (720709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.58 % (720709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.58 % (720709)CaDiCaL version: 2.1.3
% 2.26/0.58 % (720709)Termination reason: Instruction limit
% 2.26/0.58 % (720709)Termination phase: Saturation
% 2.26/0.58 % (720709)Time elapsed: 0.007 s
% 2.26/0.58 % (720709)Peak memory usage: 12 MB
% 2.26/0.58 % (720709)Instructions burned: 24 (million)
% 2.26/0.58 % (720711)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3510303635:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 2.64/0.65 % (720712)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=2401162541:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.64/0.65 % (720713)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=246415092:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.64/0.65 % (720715)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=828785963:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.64/0.65 % (720711)Refutation not found, incomplete strategy
% 2.64/0.65 % (720711)------------------------------
% 2.64/0.65 % (720711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720711)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720711)Termination reason: Refutation not found, incomplete strategy
% 2.64/0.65 % (720711)Time elapsed: 0.004 s
% 2.64/0.65 % (720711)Peak memory usage: 13 MB
% 2.64/0.65 % (720711)Instructions burned: 8 (million)
% 2.64/0.65 % (720711)------------------------------
% 2.64/0.65 % (720711)------------------------------
% 2.64/0.65 % (720694)Instruction limit reached!
% 2.64/0.65 % (720694)------------------------------
% 2.64/0.65 % (720694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720694)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720694)Termination reason: Instruction limit
% 2.64/0.65 % (720694)Termination phase: Saturation
% 2.64/0.65 % (720694)Time elapsed: 0.075 s
% 2.64/0.65 % (720694)Peak memory usage: 13 MB
% 2.64/0.65 % (720694)Instructions burned: 143 (million)
% 2.64/0.65 % (720715)Instruction limit reached!
% 2.64/0.65 % (720715)------------------------------
% 2.64/0.65 % (720715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720715)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720715)Termination reason: Instruction limit
% 2.64/0.65 % (720715)Termination phase: Saturation
% 2.64/0.65 % (720715)Time elapsed: 0.015 s
% 2.64/0.65 % (720715)Peak memory usage: 12 MB
% 2.64/0.65 % (720715)Instructions burned: 47 (million)
% 2.64/0.65 % (720720)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2678011304:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.64/0.65 % (720722)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.64/0.65 % (720720)Refutation not found, incomplete strategy
% 2.64/0.65 % (720720)------------------------------
% 2.64/0.65 % (720720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720720)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720720)Termination reason: Refutation not found, incomplete strategy
% 2.64/0.65 % (720720)Time elapsed: 0.002 s
% 2.64/0.65 % (720720)Peak memory usage: 12 MB
% 2.64/0.65 % (720720)Instructions burned: 4 (million)
% 2.64/0.65 % (720722)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1028070010:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.64/0.65 % (720720)------------------------------
% 2.64/0.65 % (720720)------------------------------
% 2.64/0.65 % (720721)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2398785868:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.64/0.65 % (720721)Instruction limit reached!
% 2.64/0.65 % (720721)------------------------------
% 2.64/0.65 % (720721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720721)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720721)Termination reason: Instruction limit
% 2.64/0.65 % (720721)Termination phase: Saturation
% 2.64/0.65 % (720721)Time elapsed: 0.012 s
% 2.64/0.65 % (720721)Peak memory usage: 12 MB
% 2.64/0.65 % (720721)Instructions burned: 22 (million)
% 2.64/0.65 % (720725)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3694040008:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.64/0.65 % (720725)Instruction limit reached!
% 2.64/0.65 % (720725)------------------------------
% 2.64/0.65 % (720725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720725)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720725)Termination reason: Instruction limit
% 2.64/0.65 % (720725)Termination phase: Saturation
% 2.64/0.65 % (720725)Time elapsed: 0.008 s
% 2.64/0.65 % (720725)Peak memory usage: 12 MB
% 2.64/0.65 % (720725)Instructions burned: 14 (million)
% 2.64/0.65 % (720727)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=440011223:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.64/0.65 % (720729)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=476816609:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.64/0.65 % (720722)Instruction limit reached!
% 2.64/0.65 % (720722)------------------------------
% 2.64/0.65 % (720722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720722)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720722)Termination reason: Instruction limit
% 2.64/0.65 % (720722)Termination phase: Saturation
% 2.64/0.65 % (720722)Time elapsed: 0.050 s
% 2.64/0.65 % (720722)Peak memory usage: 12 MB
% 2.64/0.65 % (720722)Instructions burned: 200 (million)
% 2.64/0.65 % (720729)Refutation not found, incomplete strategy
% 2.64/0.65 % (720729)------------------------------
% 2.64/0.65 % (720729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720729)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720729)Termination reason: Refutation not found, incomplete strategy
% 2.64/0.65 % (720729)Time elapsed: 0.005 s
% 2.64/0.65 % (720729)Peak memory usage: 12 MB
% 2.64/0.65 % (720729)Instructions burned: 8 (million)
% 2.64/0.65 % (720729)------------------------------
% 2.64/0.65 % (720729)------------------------------
% 2.64/0.65 % (720732)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4082476203:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.64/0.65 % (720727)Instruction limit reached!
% 2.64/0.65 % (720727)------------------------------
% 2.64/0.65 % (720727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720727)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720727)Termination reason: Instruction limit
% 2.64/0.65 % (720727)Termination phase: Saturation
% 2.64/0.65 % (720727)Time elapsed: 0.034 s
% 2.64/0.65 % (720727)Peak memory usage: 13 MB
% 2.64/0.65 % (720727)Instructions burned: 67 (million)
% 2.64/0.65 % (720733)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=786240320:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.64/0.65 % (720732)Instruction limit reached!
% 2.64/0.65 % (720732)------------------------------
% 2.64/0.65 % (720732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720732)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720732)Termination reason: Instruction limit
% 2.64/0.65 % (720732)Termination phase: Saturation
% 2.64/0.65 % (720732)Time elapsed: 0.009 s
% 2.64/0.65 % (720732)Peak memory usage: 12 MB
% 2.64/0.65 % (720732)Instructions burned: 31 (million)
% 2.64/0.65 % (720737)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1071981342:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 2.64/0.65 % (720737)Refutation not found, incomplete strategy
% 2.64/0.65 % (720737)------------------------------
% 2.64/0.65 % (720737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720737)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720737)Termination reason: Refutation not found, incomplete strategy
% 2.64/0.65 % (720737)Time elapsed: 0.002 s
% 2.64/0.65 % (720737)Peak memory usage: 12 MB
% 2.64/0.65 % (720737)Instructions burned: 9 (million)
% 2.64/0.65 % (720737)------------------------------
% 2.64/0.65 % (720737)------------------------------
% 2.64/0.65 % (720735)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=889931082:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.64/0.65 % (720739)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.64/0.65 % (720739)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2106129983:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.64/0.65 % (720735)Instruction limit reached!
% 2.64/0.65 % (720735)------------------------------
% 2.64/0.65 % (720735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720735)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720735)Termination reason: Instruction limit
% 2.64/0.65 % (720735)Termination phase: Saturation
% 2.64/0.65 % (720735)Time elapsed: 0.018 s
% 2.64/0.65 % (720735)Peak memory usage: 12 MB
% 2.64/0.65 % (720735)Instructions burned: 35 (million)
% 2.64/0.65 % (720635)Instruction limit reached!
% 2.64/0.65 % (720635)------------------------------
% 2.64/0.65 % (720635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720635)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720635)Termination reason: Instruction limit
% 2.64/0.65 % (720635)Termination phase: Saturation
% 2.64/0.65 % (720635)Time elapsed: 0.341 s
% 2.64/0.65 % (720635)Peak memory usage: 15 MB
% 2.64/0.65 % (720635)Instructions burned: 634 (million)
% 2.64/0.65 % (720742)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4267198267:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.64/0.65 % (720743)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=4005221077:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.64/0.65 % (720742)Refutation not found, incomplete strategy
% 2.64/0.65 % (720742)------------------------------
% 2.64/0.65 % (720742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720742)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720742)Termination reason: Refutation not found, incomplete strategy
% 2.64/0.65 % (720742)Time elapsed: 0.007 s
% 2.64/0.65 % (720742)Peak memory usage: 12 MB
% 2.64/0.65 % (720742)Instructions burned: 12 (million)
% 2.64/0.65 % (720742)------------------------------
% 2.64/0.65 % (720742)------------------------------
% 2.64/0.65 % (720733) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-720627-720733"...
% 2.64/0.65 % (720739)Instruction limit reached!
% 2.64/0.65 % (720739)------------------------------
% 2.64/0.65 % (720739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720739)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720739)Termination reason: Instruction limit
% 2.64/0.65 % (720739)Termination phase: Saturation
% 2.64/0.65 % (720739)Time elapsed: 0.047 s
% 2.64/0.65 % (720739)Peak memory usage: 13 MB
% 2.64/0.65 % (720739)Instructions burned: 182 (million)
% 2.64/0.65 % (720733)...printing done.
% 2.64/0.65 % (720733)Refutation found. Thanks to Tanya!
% 2.64/0.65 % SZS status Theorem for theBenchmark
% 2.64/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/0.65 % (720733)------------------------------
% 2.64/0.65 % (720733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.65 % (720733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.65 % (720733)CaDiCaL version: 2.1.3
% 2.64/0.65 % (720733)Termination reason: Refutation
% 2.64/0.65 % (720733)Time elapsed: 0.073 s
% 2.64/0.65 % (720733)Peak memory usage: 14 MB
% 2.64/0.65 % (720733)Instructions burned: 134 (million)
% 2.64/0.65 % (720627)Success in time 0.411 s
% 2.64/0.65 % Vampire exiting
%------------------------------------------------------------------------------