%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU600^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:35:32 AM UTC 2026
% Result : Theorem 58.83s 9.72s
% Output : Refutation 58.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 18
% Syntax : Number of formulae : 253 ( 60 unt; 0 typ; 8 def)
% Number of atoms : 2471 ( 621 equ; 0 cnn)
% Maximal formula atoms : 9 ( 9 avg)
% Number of connectives : 2548 ( 11 ~; 325 |; 24 &;1850 @)
% ( 0 <=>; 215 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 25 usr; 19 con; 0-2 aty)
% ( 123 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 495 ( 147 ^; 339 !; 9 ?; 495 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
subset: $i > $i > $o ).
thf(func_def_5,type,
binunion: $i > $i > $i ).
thf(func_def_9,type,
binintersect: $i > $i > $i ).
thf(func_def_26,type,
sF3: $i > $i ).
thf(func_def_28,type,
sF5: $i > $i ).
thf(func_def_31,type,
sF8: $i > $i ).
thf(func_def_50,type,
sK27: $i > $i > $i ).
thf(func_def_59,type,
ph35:
!>[X0: $tType] : X0 ).
thf(f5528,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f5527]) ).
thf(f5527,plain,
$false = $true,
inference(forward_demodulation,[status(thm)],[f5526,f5493]) ).
thf(f5493,plain,
( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f5487]) ).
thf(f5487,plain,
( ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $false )
| ( $false = $true ) ),
inference(backward_demodulation,[status(thm)],[f1445,f5486]) ).
thf(f5486,plain,
( $false
= ( subset @ sF7 @ sF10 ) ),
inference(subsumption_resolution,[status(thm)],[f5485,f59]) ).
thf(f59,plain,
sF7 != sF10,
inference(definition_folding,[status(thm)],[f39,f58,f57,f56,f51,f55,f54,f51,f53,f52,f51]) ).
thf(f52,definition,
( sF4
= ( sF3 @ sK2 ) ),
introduced(definition,[],[function_definition]) ).
thf(f53,definition,
( ( binunion @ sF4 )
= sF5 ),
introduced(definition,[],[function_definition]) ).
thf(f54,definition,
( ( sF3 @ sK1 )
= sF6 ),
introduced(definition,[],[function_definition]) ).
thf(f55,definition,
( ( sF5 @ sF6 )
= sF7 ),
introduced(definition,[],[function_definition]) ).
thf(f51,definition,
( ( binintersect @ sK0 )
= sF3 ),
introduced(definition,[],[function_definition]) ).
thf(f56,definition,
( ( binunion @ sK2 )
= sF8 ),
introduced(definition,[],[function_definition]) ).
thf(f57,definition,
( sF9
= ( sF8 @ sK1 ) ),
introduced(definition,[],[function_definition]) ).
thf(f58,definition,
( ( sF3 @ sF9 )
= sF10 ),
introduced(definition,[],[function_definition]) ).
thf(f39,plain,
( ( binunion @ ( binintersect @ sK0 @ sK2 ) @ ( binintersect @ sK0 @ sK1 ) )
!= ( binintersect @ sK0 @ ( binunion @ sK2 @ sK1 ) ) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f33,plain,
( ( binintersectER = $true )
& ( binunionIR = $true )
& ( binunionIL = $true )
& ( binintersectEL = $true )
& ( ( binunion @ ( binintersect @ sK0 @ sK2 ) @ ( binintersect @ sK0 @ sK1 ) )
!= ( binintersect @ sK0 @ ( binunion @ sK2 @ sK1 ) ) )
& ( setextsub = $true )
& ( binunionEcases = $true )
& ( binintersectI = $true )
& ( subsetI1 = $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f31,f32]) ).
thf(f32,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( binintersect @ X0 @ ( binunion @ X2 @ X1 ) )
!= ( binunion @ ( binintersect @ X0 @ X2 ) @ ( binintersect @ X0 @ X1 ) ) )
=> ( ( binunion @ ( binintersect @ sK0 @ sK2 ) @ ( binintersect @ sK0 @ sK1 ) )
!= ( binintersect @ sK0 @ ( binunion @ sK2 @ sK1 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f31,plain,
( ( binintersectER = $true )
& ( binunionIR = $true )
& ( binunionIL = $true )
& ( binintersectEL = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ( binintersect @ X0 @ ( binunion @ X2 @ X1 ) )
!= ( binunion @ ( binintersect @ X0 @ X2 ) @ ( binintersect @ X0 @ X1 ) ) )
& ( setextsub = $true )
& ( binunionEcases = $true )
& ( binintersectI = $true )
& ( subsetI1 = $true ) ),
inference(flattening,[status(thm)],[f30]) ).
thf(f30,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( binintersect @ X0 @ ( binunion @ X2 @ X1 ) )
!= ( binunion @ ( binintersect @ X0 @ X2 ) @ ( binintersect @ X0 @ X1 ) ) )
& ( binintersectER = $true )
& ( binintersectEL = $true )
& ( binintersectI = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( binunionIL = $true )
& ( setextsub = $true )
& ( subsetI1 = $true ) ),
inference(ennf_transformation,[status(thm)],[f23]) ).
thf(f23,plain,
~ ( ( subsetI1 = $true )
=> ( ( setextsub = $true )
=> ( ( binunionIL = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectER = $true )
=> ! [X0: $i,X1: $i,X2: $i] :
( ( binintersect @ X0 @ ( binunion @ X2 @ X1 ) )
= ( binunion @ ( binintersect @ X0 @ X2 ) @ ( binintersect @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f22]) ).
thf(f22,plain,
~ ( subsetI1
=> ( setextsub
=> ( binunionIL
=> ( binunionIR
=> ( binunionEcases
=> ( binintersectI
=> ( binintersectEL
=> ( binintersectER
=> ! [X0: $i,X1: $i,X2: $i] :
( ( binintersect @ X0 @ ( binunion @ X2 @ X1 ) )
= ( binunion @ ( binintersect @ X0 @ X2 ) @ ( binintersect @ X0 @ X1 ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f10]) ).
thf(f10,negated_conjecture,
~ ( subsetI1
=> ( setextsub
=> ( binunionIL
=> ( binunionIR
=> ( binunionEcases
=> ( binintersectI
=> ( binintersectEL
=> ( binintersectER
=> ! [X0: $i,X4: $i,X1: $i] :
( ( binintersect @ X0 @ ( binunion @ X1 @ X4 ) )
= ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X4 ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
thf(f9,conjecture,
( subsetI1
=> ( setextsub
=> ( binunionIL
=> ( binunionIR
=> ( binunionEcases
=> ( binintersectI
=> ( binintersectEL
=> ( binintersectER
=> ! [X0: $i,X4: $i,X1: $i] :
( ( binintersect @ X0 @ ( binunion @ X1 @ X4 ) )
= ( binunion @ ( binintersect @ X0 @ X1 ) @ ( binintersect @ X0 @ X4 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',bs114d) ).
thf(f5485,plain,
( ( $false
= ( subset @ sF7 @ sF10 ) )
| ( sF7 = sF10 ) ),
inference(trivial_inequality_removal,[status(thm)],[f5472]) ).
thf(f5472,plain,
( ( sF7 = sF10 )
| ( $false
= ( subset @ sF7 @ sF10 ) )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f5445,f230]) ).
thf(f230,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( subset @ X2 @ X1 ) )
| ( ( subset @ X1 @ X2 )
= $false )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[status(thm)],[f229]) ).
thf(f229,plain,
! [X2: $i,X1: $i] :
( ( ( subset @ X1 @ X2 )
= $false )
| ( X1 = X2 )
| ( $false
= ( subset @ X2 @ X1 ) )
| ( $false = $true ) ),
inference(backward_demodulation,[status(thm)],[f209,f38]) ).
thf(f38,plain,
setextsub = $true,
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f209,plain,
! [X2: $i,X1: $i] :
( ( ( subset @ X1 @ X2 )
= $false )
| ( setextsub = $false )
| ( X1 = X2 )
| ( $false
= ( subset @ X2 @ X1 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f208]) ).
thf(f208,plain,
! [X2: $i,X1: $i] :
( ( setextsub = $false )
| ( $true
= ( X2 = X1 ) )
| ( ( subset @ X1 @ X2 )
= $false )
| ( $false
= ( subset @ X2 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f207]) ).
thf(f207,plain,
! [X2: $i,X1: $i] :
( ( setextsub = $false )
| ( $false
= ( subset @ X2 @ X1 ) )
| ( $true
= ( ( subset @ X1 @ X2 )
=> ( X2 = X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f206]) ).
thf(f206,plain,
! [X2: $i,X1: $i] :
( ( setextsub = $false )
| ( $true
= ( ( subset @ X2 @ X1 )
=> ( ( subset @ X1 @ X2 )
=> ( X2 = X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f205]) ).
thf(f205,plain,
! [X2: $i,X1: $i] :
( ( setextsub = $false )
| ( ( ^ [Y0: $i] :
( ( subset @ Y0 @ X1 )
=> ( ( subset @ X1 @ Y0 )
=> ( Y0 = X1 ) ) )
@ X2 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f204]) ).
thf(f204,plain,
! [X1: $i] :
( ( setextsub = $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( subset @ Y0 @ X1 )
=> ( ( subset @ X1 @ Y0 )
=> ( Y0 = X1 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f203]) ).
thf(f203,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( subset @ Y0 @ Y1 )
=> ( Y1 = Y0 ) ) ) )
@ X1 ) )
| ( setextsub = $false ) ),
inference(pi_clausification,[status(thm)],[f202]) ).
thf(f202,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( subset @ Y0 @ Y1 )
=> ( Y1 = Y0 ) ) ) ) ) )
| ( setextsub = $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f48]) ).
thf(f48,plain,
( setextsub
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( subset @ Y0 @ Y1 )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f19,plain,
( setextsub
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ Y1 @ Y0 )
=> ( ( subset @ Y0 @ Y1 )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f18]) ).
thf(f18,plain,
( setextsub
= ( ! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
=> ( ( subset @ X1 @ X0 )
=> ( X0 = X1 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
( setextsub
= ( ! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
=> ( ( subset @ X1 @ X0 )
=> ( X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',setextsub) ).
thf(f5445,plain,
( $true
= ( subset @ sF10 @ sF7 ) ),
inference(trivial_inequality_removal,[status(thm)],[f5444]) ).
thf(f5444,plain,
( ( $true
= ( subset @ sF10 @ sF7 ) )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f5441]) ).
thf(f5441,plain,
( ( $true
= ( subset @ sF10 @ sF7 ) )
| ( $false = $true )
| ( $true
= ( subset @ sF10 @ sF7 ) ) ),
inference(superposition,[status(thm)],[f1013,f3402]) ).
thf(f3402,plain,
( ( $true
= ( in @ ( sK27 @ sF7 @ sF10 ) @ sK1 ) )
| ( $true
= ( subset @ sF10 @ sF7 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f3401]) ).
thf(f3401,plain,
( ( $true
= ( subset @ sF10 @ sF7 ) )
| ( $true
= ( in @ ( sK27 @ sF7 @ sF10 ) @ sK1 ) )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f3394]) ).
thf(f3394,plain,
( ( $true
= ( in @ ( sK27 @ sF7 @ sF10 ) @ sK1 ) )
| ( $true
= ( subset @ sF10 @ sF7 ) )
| ( $false = $true )
| ( $true
= ( subset @ sF10 @ sF7 ) ) ),
inference(superposition,[status(thm)],[f1287,f2477]) ).
thf(f2477,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK27 @ X0 @ sF10 ) @ sK2 ) )
| ( ( in @ ( sK27 @ X0 @ sF10 ) @ sK1 )
= $true )
| ( $true
= ( subset @ sF10 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f2459]) ).
thf(f2459,plain,
! [X0: $i] :
( ( ( in @ ( sK27 @ X0 @ sF10 ) @ sK1 )
= $true )
| ( $true
= ( subset @ sF10 @ X0 ) )
| ( $false = $true )
| ( $true
= ( in @ ( sK27 @ X0 @ sF10 ) @ sK2 ) ) ),
inference(superposition,[status(thm)],[f332,f802]) ).
thf(f802,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK27 @ X0 @ sF10 ) @ sF9 ) )
| ( $true
= ( subset @ sF10 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f740]) ).
thf(f740,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK27 @ X0 @ sF10 ) @ sF9 ) )
| ( $false = $true )
| ( $true
= ( subset @ sF10 @ X0 ) ) ),
inference(superposition,[status(thm)],[f222,f441]) ).
thf(f441,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF10 ) )
| ( $true
= ( in @ X0 @ sF9 ) ) ),
inference(superposition,[status(thm)],[f430,f58]) ).
thf(f430,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( sF3 @ X0 ) )
= $false )
| ( $true
= ( in @ X1 @ X0 ) ) ),
inference(superposition,[status(thm)],[f224,f272]) ).
thf(f272,plain,
! [X1: $i] :
( ( binintersect @ sK0 @ X1 )
= ( sF3 @ X1 ) ),
inference(argument_congruence,[status(thm)],[f51]) ).
thf(f224,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( binintersect @ X2 @ X3 ) ) )
| ( ( in @ X1 @ X3 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f223]) ).
thf(f223,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false = $true )
| ( ( in @ X1 @ X3 )
= $true )
| ( $false
= ( in @ X1 @ ( binintersect @ X2 @ X3 ) ) ) ),
inference(forward_demodulation,[status(thm)],[f152,f43]) ).
thf(f43,plain,
binintersectER = $true,
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f152,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X1 @ X3 )
= $true )
| ( binintersectER = $false )
| ( $false
= ( in @ X1 @ ( binintersect @ X2 @ X3 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f151]) ).
thf(f151,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( in @ X1 @ ( binintersect @ X2 @ X3 ) )
=> ( in @ X1 @ X3 ) )
= $true )
| ( binintersectER = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f150]) ).
thf(f150,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( binintersect @ X2 @ Y0 ) )
=> ( in @ X1 @ Y0 ) )
@ X3 ) )
| ( binintersectER = $false ) ),
inference(pi_clausification,[status(thm)],[f149]) ).
thf(f149,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( binintersect @ X2 @ Y0 ) )
=> ( in @ X1 @ Y0 ) ) ) )
| ( binintersectER = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f148]) ).
thf(f148,plain,
! [X2: $i,X1: $i] :
( ( binintersectER = $false )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( binintersect @ Y0 @ Y1 ) )
=> ( in @ X1 @ Y1 ) ) )
@ X2 ) ) ),
inference(pi_clausification,[status(thm)],[f147]) ).
thf(f147,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( binintersect @ Y0 @ Y1 ) )
=> ( in @ X1 @ Y1 ) ) ) ) )
| ( binintersectER = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f146]) ).
thf(f146,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( binintersect @ Y1 @ Y2 ) )
=> ( in @ Y0 @ Y2 ) ) ) )
@ X1 )
= $true )
| ( binintersectER = $false ) ),
inference(pi_clausification,[status(thm)],[f145]) ).
thf(f145,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( binintersect @ Y1 @ Y2 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) )
| ( binintersectER = $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f47]) ).
thf(f47,plain,
( binintersectER
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( binintersect @ Y1 @ Y2 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
thf(f21,plain,
( binintersectER
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ ( binintersect @ Y1 @ Y2 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f20]) ).
thf(f20,plain,
( binintersectER
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( binintersect @ X1 @ X0 ) )
=> ( in @ X2 @ X0 ) ) ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,axiom,
( binintersectER
= ( ! [X1: $i,X0: $i,X2: $i] :
( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
=> ( in @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',binintersectER) ).
thf(f222,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK27 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f221]) ).
thf(f221,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( subset @ X2 @ X1 ) )
| ( $false = $true )
| ( $true
= ( in @ ( sK27 @ X1 @ X2 ) @ X2 ) ) ),
inference(forward_demodulation,[status(thm)],[f171,f35]) ).
thf(f35,plain,
subsetI1 = $true,
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f171,plain,
! [X2: $i,X1: $i] :
( ( subsetI1 = $false )
| ( $true
= ( in @ ( sK27 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f169]) ).
thf(f169,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( subset @ X2 @ X1 ) )
| ( $false
= ( ( in @ ( sK27 @ X1 @ X2 ) @ X2 )
=> ( in @ ( sK27 @ X1 @ X2 ) @ X1 ) ) )
| ( subsetI1 = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f168]) ).
thf(f168,plain,
! [X2: $i,X1: $i] :
( ( subsetI1 = $false )
| ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X1 ) )
@ ( sK27 @ X1 @ X2 ) ) )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f167]) ).
thf(f167,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X1 ) ) ) )
| ( subsetI1 = $false )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f166]) ).
thf(f166,plain,
! [X2: $i,X1: $i] :
( ( subsetI1 = $false )
| ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X1 ) ) )
=> ( subset @ X2 @ X1 ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f165]) ).
thf(f165,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ X1 ) ) )
=> ( subset @ Y0 @ X1 ) )
@ X2 )
= $true )
| ( subsetI1 = $false ) ),
inference(pi_clausification,[status(thm)],[f164]) ).
thf(f164,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ X1 ) ) )
=> ( subset @ Y0 @ X1 ) ) ) )
| ( subsetI1 = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f163]) ).
thf(f163,plain,
! [X1: $i] :
( ( subsetI1 = $false )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) )
@ X1 ) ) ),
inference(pi_clausification,[status(thm)],[f162]) ).
thf(f162,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) ) )
| ( subsetI1 = $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f34]) ).
thf(f34,plain,
( subsetI1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
thf(f25,plain,
( subsetI1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( subset @ Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f24]) ).
thf(f24,plain,
( subsetI1
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( subset @ X0 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
( subsetI1
= ( ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( subset @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',subsetI1) ).
thf(f332,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF9 ) )
| ( $true
= ( in @ X0 @ sK1 ) )
| ( $true
= ( in @ X0 @ sK2 ) ) ),
inference(superposition,[status(thm)],[f299,f57]) ).
thf(f299,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( sF8 @ X0 ) ) )
| ( $true
= ( in @ X1 @ sK2 ) )
| ( $true
= ( in @ X1 @ X0 ) ) ),
inference(superposition,[status(thm)],[f248,f278]) ).
thf(f278,plain,
! [X1: $i] :
( ( binunion @ sK2 @ X1 )
= ( sF8 @ X1 ) ),
inference(argument_congruence,[status(thm)],[f56]) ).
thf(f248,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( in @ X0 @ ( binunion @ X2 @ X1 ) ) )
| ( $true
= ( in @ X0 @ X2 ) )
| ( $true
= ( in @ X0 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f245]) ).
thf(f245,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( in @ X0 @ X2 ) )
| ( $false
= ( in @ X0 @ ( binunion @ X2 @ X1 ) ) )
| ( $true
= ( in @ X0 @ X1 ) ) ),
inference(equality_factoring,[status(thm)],[f228]) ).
thf(f228,plain,
! [X2: $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( in @ X3 @ ( binunion @ X1 @ X4 ) ) )
| ( $true = X2 )
| ( ( in @ X3 @ X4 )
= $true )
| ( $true
= ( in @ X3 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f227]) ).
thf(f227,plain,
! [X2: $o,X3: $i,X1: $i,X4: $i] :
( ( $true = X2 )
| ( $false
= ( in @ X3 @ ( binunion @ X1 @ X4 ) ) )
| ( $false = $true )
| ( $true
= ( in @ X3 @ X1 ) )
| ( ( in @ X3 @ X4 )
= $true ) ),
inference(backward_demodulation,[status(thm)],[f127,f37]) ).
thf(f37,plain,
binunionEcases = $true,
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f127,plain,
! [X2: $o,X3: $i,X1: $i,X4: $i] :
( ( ( in @ X3 @ X4 )
= $true )
| ( $true
= ( in @ X3 @ X1 ) )
| ( $true = X2 )
| ( $false
= ( in @ X3 @ ( binunion @ X1 @ X4 ) ) )
| ( binunionEcases = $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f125]) ).
thf(f125,plain,
! [X2: $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( in @ X3 @ X1 ) )
| ( $false
= ( in @ X3 @ ( binunion @ X1 @ X4 ) ) )
| ( $false
= ( ( in @ X3 @ X4 )
=> X2 ) )
| ( $true = X2 )
| ( binunionEcases = $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f123]) ).
thf(f123,plain,
! [X2: $o,X3: $i,X1: $i,X4: $i] :
( ( binunionEcases = $false )
| ( $false
= ( ( in @ X3 @ X1 )
=> X2 ) )
| ( $true = X2 )
| ( $false
= ( ( in @ X3 @ X4 )
=> X2 ) )
| ( $false
= ( in @ X3 @ ( binunion @ X1 @ X4 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f122]) ).
thf(f122,plain,
! [X2: $o,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( ( ( in @ X3 @ X4 )
=> X2 )
=> X2 ) )
| ( binunionEcases = $false )
| ( $false
= ( in @ X3 @ ( binunion @ X1 @ X4 ) ) )
| ( $false
= ( ( in @ X3 @ X1 )
=> X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f121]) ).
thf(f121,plain,
! [X2: $o,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( in @ X3 @ ( binunion @ X1 @ X4 ) ) )
| ( binunionEcases = $false )
| ( ( ( ( in @ X3 @ X1 )
=> X2 )
=> ( ( ( in @ X3 @ X4 )
=> X2 )
=> X2 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f120]) ).
thf(f120,plain,
! [X2: $o,X3: $i,X1: $i,X4: $i] :
( ( ( ( in @ X3 @ ( binunion @ X1 @ X4 ) )
=> ( ( ( in @ X3 @ X1 )
=> X2 )
=> ( ( ( in @ X3 @ X4 )
=> X2 )
=> X2 ) ) )
= $true )
| ( binunionEcases = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f119]) ).
thf(f119,plain,
! [X2: $o,X3: $i,X1: $i,X4: $i] :
( ( ( ^ [Y0: $i] :
( ( in @ X3 @ ( binunion @ X1 @ Y0 ) )
=> ( ( ( in @ X3 @ X1 )
=> X2 )
=> ( ( ( in @ X3 @ Y0 )
=> X2 )
=> X2 ) ) )
@ X4 )
= $true )
| ( binunionEcases = $false ) ),
inference(pi_clausification,[status(thm)],[f118]) ).
thf(f118,plain,
! [X2: $o,X3: $i,X1: $i] :
( ( binunionEcases = $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X3 @ ( binunion @ X1 @ Y0 ) )
=> ( ( ( in @ X3 @ X1 )
=> X2 )
=> ( ( ( in @ X3 @ Y0 )
=> X2 )
=> X2 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f117]) ).
thf(f117,plain,
! [X2: $o,X3: $i,X1: $i] :
( ( binunionEcases = $false )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( binunion @ X1 @ Y1 ) )
=> ( ( ( in @ Y0 @ X1 )
=> X2 )
=> ( ( ( in @ Y0 @ Y1 )
=> X2 )
=> X2 ) ) ) )
@ X3 ) ) ),
inference(pi_clausification,[status(thm)],[f116]) ).
thf(f116,plain,
! [X2: $o,X1: $i] :
( ( binunionEcases = $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( binunion @ X1 @ Y1 ) )
=> ( ( ( in @ Y0 @ X1 )
=> X2 )
=> ( ( ( in @ Y0 @ Y1 )
=> X2 )
=> X2 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f115]) ).
thf(f115,plain,
! [X2: $o,X1: $i] :
( ( $true
= ( ^ [Y0: $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( binunion @ X1 @ Y2 ) )
=> ( ( ( in @ Y1 @ X1 )
=> Y0 )
=> ( ( ( in @ Y1 @ Y2 )
=> Y0 )
=> Y0 ) ) ) ) )
@ X2 ) )
| ( binunionEcases = $false ) ),
inference(pi_clausification,[status(thm)],[f114]) ).
thf(f114,plain,
! [X1: $i] :
( ( $true
= ( !! @ $o
@ ^ [Y0: $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( binunion @ X1 @ Y2 ) )
=> ( ( ( in @ Y1 @ X1 )
=> Y0 )
=> ( ( ( in @ Y1 @ Y2 )
=> Y0 )
=> Y0 ) ) ) ) ) ) )
| ( binunionEcases = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f113]) ).
thf(f113,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( !! @ $o
@ ^ [Y1: $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y2 @ ( binunion @ Y0 @ Y3 ) )
=> ( ( ( in @ Y2 @ Y0 )
=> Y1 )
=> ( ( ( in @ Y2 @ Y3 )
=> Y1 )
=> Y1 ) ) ) ) ) )
@ X1 )
= $true )
| ( binunionEcases = $false ) ),
inference(pi_clausification,[status(thm)],[f112]) ).
thf(f112,plain,
( ( binunionEcases = $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $o
@ ^ [Y1: $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y2 @ ( binunion @ Y0 @ Y3 ) )
=> ( ( ( in @ Y2 @ Y0 )
=> Y1 )
=> ( ( ( in @ Y2 @ Y3 )
=> Y1 )
=> Y1 ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f49]) ).
thf(f49,plain,
( binunionEcases
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $o
@ ^ [Y1: $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y2 @ ( binunion @ Y0 @ Y3 ) )
=> ( ( ( in @ Y2 @ Y0 )
=> Y1 )
=> ( ( ( in @ Y2 @ Y3 )
=> Y1 )
=> Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
thf(f27,plain,
( binunionEcases
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $o
@ ^ [Y1: $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y2 @ ( binunion @ Y0 @ Y3 ) )
=> ( ( ( in @ Y2 @ Y0 )
=> Y1 )
=> ( ( ( in @ Y2 @ Y3 )
=> Y1 )
=> Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f26]) ).
thf(f26,plain,
! [X0: $i,X1: $i,X2: $o,X3: $i] :
( ( ( in @ X1 @ ( binunion @ X3 @ X0 ) )
=> ( ( ( in @ X1 @ X3 )
=> X2 )
=> ( ( ( in @ X1 @ X0 )
=> X2 )
=> X2 ) ) )
= binunionEcases ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,axiom,
! [X1: $i,X2: $i,X3: $o,X0: $i] :
( ( ( in @ X2 @ ( binunion @ X0 @ X1 ) )
=> ( ( ( in @ X2 @ X0 )
=> X3 )
=> ( ( ( in @ X2 @ X1 )
=> X3 )
=> X3 ) ) )
= binunionEcases ),
file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',binunionEcases) ).
thf(f1287,plain,
( ( ( in @ ( sK27 @ sF7 @ sF10 ) @ sK2 )
= $false )
| ( $true
= ( subset @ sF10 @ sF7 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1286]) ).
thf(f1286,plain,
( ( ( in @ ( sK27 @ sF7 @ sF10 ) @ sK2 )
= $false )
| ( $false = $true )
| ( $true
= ( subset @ sF10 @ sF7 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f1271]) ).
thf(f1271,plain,
( ( $false = $true )
| ( $true
= ( subset @ sF10 @ sF7 ) )
| ( ( in @ ( sK27 @ sF7 @ sF10 ) @ sK2 )
= $false )
| ( $true
= ( subset @ sF10 @ sF7 ) ) ),
inference(superposition,[status(thm)],[f808,f710]) ).
thf(f710,plain,
! [X0: $i] :
( ( $false
= ( in @ ( sK27 @ sF7 @ X0 ) @ sF4 ) )
| ( $true
= ( subset @ X0 @ sF7 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f674]) ).
thf(f674,plain,
! [X0: $i] :
( ( $false
= ( in @ ( sK27 @ sF7 @ X0 ) @ sF4 ) )
| ( $false = $true )
| ( $true
= ( subset @ X0 @ sF7 ) ) ),
inference(superposition,[status(thm)],[f616,f220]) ).
thf(f220,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ ( sK27 @ X1 @ X2 ) @ X1 ) )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f219]) ).
thf(f219,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( subset @ X2 @ X1 ) )
| ( $false
= ( in @ ( sK27 @ X1 @ X2 ) @ X1 ) )
| ( $false = $true ) ),
inference(forward_demodulation,[status(thm)],[f170,f35]) ).
thf(f170,plain,
! [X2: $i,X1: $i] :
( ( subsetI1 = $false )
| ( $false
= ( in @ ( sK27 @ X1 @ X2 ) @ X1 ) )
| ( $true
= ( subset @ X2 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f169]) ).
thf(f616,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF7 ) )
| ( $false
= ( in @ X0 @ sF4 ) ) ),
inference(superposition,[status(thm)],[f573,f55]) ).
thf(f573,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( sF5 @ X0 ) )
= $true )
| ( ( in @ X1 @ sF4 )
= $false ) ),
inference(superposition,[status(thm)],[f236,f273]) ).
thf(f273,plain,
! [X1: $i] :
( ( binunion @ sF4 @ X1 )
= ( sF5 @ X1 ) ),
inference(argument_congruence,[status(thm)],[f53]) ).
thf(f236,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X3 @ ( binunion @ X2 @ X1 ) )
= $true )
| ( $false
= ( in @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f235]) ).
thf(f235,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X3 @ ( binunion @ X2 @ X1 ) )
= $true )
| ( $false
= ( in @ X3 @ X2 ) )
| ( $false = $true ) ),
inference(backward_demodulation,[status(thm)],[f85,f41]) ).
thf(f41,plain,
binunionIL = $true,
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f85,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X3 @ X2 ) )
| ( ( in @ X3 @ ( binunion @ X2 @ X1 ) )
= $true )
| ( binunionIL = $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f84]) ).
thf(f84,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( binunionIL = $false )
| ( ( ( in @ X3 @ X2 )
=> ( in @ X3 @ ( binunion @ X2 @ X1 ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f83]) ).
thf(f83,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ ( binunion @ X2 @ X1 ) ) )
@ X3 ) )
| ( binunionIL = $false ) ),
inference(pi_clausification,[status(thm)],[f82]) ).
thf(f82,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ ( binunion @ X2 @ X1 ) ) ) ) )
| ( binunionIL = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f81]) ).
thf(f81,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ ( binunion @ Y0 @ X1 ) ) ) )
@ X2 ) )
| ( binunionIL = $false ) ),
inference(pi_clausification,[status(thm)],[f80]) ).
thf(f80,plain,
! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ ( binunion @ Y0 @ X1 ) ) ) ) )
= $true )
| ( binunionIL = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f79]) ).
thf(f79,plain,
! [X1: $i] :
( ( binunionIL = $false )
| ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( binunion @ Y1 @ Y0 ) ) ) ) )
@ X1 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f78]) ).
thf(f78,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( binunion @ Y1 @ Y0 ) ) ) ) ) ) )
| ( binunionIL = $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f50]) ).
thf(f50,plain,
( binunionIL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( binunion @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f15,plain,
( binunionIL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ ( binunion @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f14]) ).
thf(f14,plain,
( binunionIL
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
=> ( in @ X0 @ ( binunion @ X1 @ X2 ) ) ) ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
( binunionIL
= ( ! [X2: $i,X0: $i,X1: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ ( binunion @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',binunionIL) ).
thf(f808,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK27 @ X0 @ sF10 ) @ sF4 ) )
| ( $true
= ( subset @ sF10 @ X0 ) )
| ( $false
= ( in @ ( sK27 @ X0 @ sF10 ) @ sK2 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f738]) ).
thf(f738,plain,
! [X0: $i] :
( ( $true
= ( subset @ sF10 @ X0 ) )
| ( $false
= ( in @ ( sK27 @ X0 @ sF10 ) @ sK2 ) )
| ( $true
= ( in @ ( sK27 @ X0 @ sF10 ) @ sF4 ) )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f222,f525]) ).
thf(f525,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF10 ) )
| ( $true
= ( in @ X0 @ sF4 ) )
| ( $false
= ( in @ X0 @ sK2 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f519]) ).
thf(f519,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF4 ) )
| ( $false
= ( in @ X0 @ sK2 ) )
| ( $false
= ( in @ X0 @ sF10 ) )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f290,f473]) ).
thf(f473,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sK0 ) )
| ( $false
= ( in @ X0 @ sF10 ) ) ),
inference(superposition,[status(thm)],[f462,f58]) ).
thf(f462,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( sF3 @ X0 ) )
= $false )
| ( $true
= ( in @ X1 @ sK0 ) ) ),
inference(superposition,[status(thm)],[f226,f272]) ).
thf(f226,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X3 @ ( binintersect @ X1 @ X2 ) )
= $false )
| ( $true
= ( in @ X3 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f225]) ).
thf(f225,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X3 @ ( binintersect @ X1 @ X2 ) )
= $false )
| ( $true
= ( in @ X3 @ X1 ) )
| ( $false = $true ) ),
inference(forward_demodulation,[status(thm)],[f102,f40]) ).
thf(f40,plain,
binintersectEL = $true,
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f102,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X3 @ ( binintersect @ X1 @ X2 ) )
= $false )
| ( $true
= ( in @ X3 @ X1 ) )
| ( binintersectEL = $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f101]) ).
thf(f101,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( in @ X3 @ ( binintersect @ X1 @ X2 ) )
=> ( in @ X3 @ X1 ) ) )
| ( binintersectEL = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f100]) ).
thf(f100,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ ( binintersect @ X1 @ X2 ) )
=> ( in @ Y0 @ X1 ) )
@ X3 ) )
| ( binintersectEL = $false ) ),
inference(pi_clausification,[status(thm)],[f99]) ).
thf(f99,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( binintersect @ X1 @ X2 ) )
=> ( in @ Y0 @ X1 ) ) )
= $true )
| ( binintersectEL = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f98]) ).
thf(f98,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( binintersect @ X1 @ Y0 ) )
=> ( in @ Y1 @ X1 ) ) )
@ X2 ) )
| ( binintersectEL = $false ) ),
inference(pi_clausification,[status(thm)],[f97]) ).
thf(f97,plain,
! [X1: $i] :
( ( binintersectEL = $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( binintersect @ X1 @ Y0 ) )
=> ( in @ Y1 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f96]) ).
thf(f96,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( binintersect @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) )
@ X1 ) )
| ( binintersectEL = $false ) ),
inference(pi_clausification,[status(thm)],[f95]) ).
thf(f95,plain,
( ( binintersectEL = $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( binintersect @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f45]) ).
thf(f45,plain,
( binintersectEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( binintersect @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
thf(f17,plain,
( binintersectEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( binintersect @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f16]) ).
thf(f16,plain,
( binintersectEL
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( binintersect @ X2 @ X1 ) )
=> ( in @ X0 @ X2 ) ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,axiom,
( binintersectEL
= ( ! [X2: $i,X1: $i,X0: $i] :
( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
=> ( in @ X2 @ X0 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',binintersectEL) ).
thf(f290,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sK0 ) )
| ( $true
= ( in @ X0 @ sF4 ) )
| ( $false
= ( in @ X0 @ sK2 ) ) ),
inference(superposition,[status(thm)],[f289,f52]) ).
thf(f289,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( sF3 @ X0 ) )
= $true )
| ( $false
= ( in @ X1 @ sK0 ) )
| ( $false
= ( in @ X1 @ X0 ) ) ),
inference(superposition,[status(thm)],[f234,f272]) ).
thf(f234,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( in @ X3 @ ( binintersect @ X2 @ X1 ) ) )
| ( $false
= ( in @ X3 @ X1 ) )
| ( $false
= ( in @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f233]) ).
thf(f233,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X3 @ X1 ) )
| ( $false
= ( in @ X3 @ X2 ) )
| ( $false = $true )
| ( $true
= ( in @ X3 @ ( binintersect @ X2 @ X1 ) ) ) ),
inference(backward_demodulation,[status(thm)],[f190,f36]) ).
thf(f36,plain,
binintersectI = $true,
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f190,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( in @ X3 @ X2 ) )
| ( $false
= ( in @ X3 @ X1 ) )
| ( binintersectI = $false )
| ( $true
= ( in @ X3 @ ( binintersect @ X2 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f189]) ).
thf(f189,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( in @ X3 @ X1 )
=> ( in @ X3 @ ( binintersect @ X2 @ X1 ) ) ) )
| ( binintersectI = $false )
| ( $false
= ( in @ X3 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f188]) ).
thf(f188,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( binintersectI = $false )
| ( $true
= ( ( in @ X3 @ X2 )
=> ( ( in @ X3 @ X1 )
=> ( in @ X3 @ ( binintersect @ X2 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f187]) ).
thf(f187,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( binintersectI = $false )
| ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ ( binintersect @ X2 @ X1 ) ) ) )
@ X3 ) ) ),
inference(pi_clausification,[status(thm)],[f186]) ).
thf(f186,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ ( binintersect @ X2 @ X1 ) ) ) ) ) )
| ( binintersectI = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f185]) ).
thf(f185,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ ( binintersect @ Y0 @ X1 ) ) ) ) )
@ X2 ) )
| ( binintersectI = $false ) ),
inference(pi_clausification,[status(thm)],[f184]) ).
thf(f184,plain,
! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ ( binintersect @ Y0 @ X1 ) ) ) ) ) )
= $true )
| ( binintersectI = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f183]) ).
thf(f183,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ ( binintersect @ Y1 @ Y0 ) ) ) ) ) )
@ X1 ) )
| ( binintersectI = $false ) ),
inference(pi_clausification,[status(thm)],[f182]) ).
thf(f182,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ ( binintersect @ Y1 @ Y0 ) ) ) ) ) ) ) )
| ( binintersectI = $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f46]) ).
thf(f46,plain,
( binintersectI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ ( binintersect @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
thf(f29,plain,
( binintersectI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ ( binintersect @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f28]) ).
thf(f28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ X1 )
=> ( ( in @ X0 @ X2 )
=> ( in @ X0 @ ( binintersect @ X1 @ X2 ) ) ) )
= binintersectI ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,axiom,
! [X2: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X0 )
=> ( ( in @ X2 @ X1 )
=> ( in @ X2 @ ( binintersect @ X0 @ X1 ) ) ) )
= binintersectI ),
file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',binintersectI) ).
thf(f1013,plain,
( ( $false
= ( in @ ( sK27 @ sF7 @ sF10 ) @ sK1 ) )
| ( $true
= ( subset @ sF10 @ sF7 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1012]) ).
thf(f1012,plain,
( ( $false
= ( in @ ( sK27 @ sF7 @ sF10 ) @ sK1 ) )
| ( $true
= ( subset @ sF10 @ sF7 ) )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f992]) ).
thf(f992,plain,
( ( $true
= ( subset @ sF10 @ sF7 ) )
| ( $true
= ( subset @ sF10 @ sF7 ) )
| ( $false
= ( in @ ( sK27 @ sF7 @ sF10 ) @ sK1 ) )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f793,f691]) ).
thf(f691,plain,
! [X0: $i] :
( ( ( in @ ( sK27 @ sF7 @ X0 ) @ sF6 )
= $false )
| ( $true
= ( subset @ X0 @ sF7 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f655]) ).
thf(f655,plain,
! [X0: $i] :
( ( ( in @ ( sK27 @ sF7 @ X0 ) @ sF6 )
= $false )
| ( $false = $true )
| ( $true
= ( subset @ X0 @ sF7 ) ) ),
inference(superposition,[status(thm)],[f220,f552]) ).
thf(f552,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF7 ) )
| ( $false
= ( in @ X0 @ sF6 ) ) ),
inference(superposition,[status(thm)],[f530,f55]) ).
thf(f530,plain,
! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( sF5 @ X0 ) )
= $true )
| ( $false
= ( in @ X1 @ X0 ) ) ),
inference(superposition,[status(thm)],[f232,f273]) ).
thf(f232,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X1 @ ( binunion @ X3 @ X2 ) )
= $true )
| ( $false
= ( in @ X1 @ X2 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f231]) ).
thf(f231,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X1 @ ( binunion @ X3 @ X2 ) )
= $true )
| ( $false = $true )
| ( $false
= ( in @ X1 @ X2 ) ) ),
inference(forward_demodulation,[status(thm)],[f68,f42]) ).
thf(f42,plain,
binunionIR = $true,
inference(cnf_transformation,[status(thm)],[f33]) ).
thf(f68,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X1 @ ( binunion @ X3 @ X2 ) )
= $true )
| ( binunionIR = $false )
| ( $false
= ( in @ X1 @ X2 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f67]) ).
thf(f67,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ( in @ X1 @ X2 )
=> ( in @ X1 @ ( binunion @ X3 @ X2 ) ) ) )
| ( binunionIR = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f66]) ).
thf(f66,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( in @ X1 @ X2 )
=> ( in @ X1 @ ( binunion @ Y0 @ X2 ) ) )
@ X3 )
= $true )
| ( binunionIR = $false ) ),
inference(pi_clausification,[status(thm)],[f65]) ).
thf(f65,plain,
! [X2: $i,X1: $i] :
( ( binunionIR = $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ X2 )
=> ( in @ X1 @ ( binunion @ Y0 @ X2 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f64]) ).
thf(f64,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y0 )
=> ( in @ X1 @ ( binunion @ Y1 @ Y0 ) ) ) )
@ X2 )
= $true )
| ( binunionIR = $false ) ),
inference(pi_clausification,[status(thm)],[f63]) ).
thf(f63,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y0 )
=> ( in @ X1 @ ( binunion @ Y1 @ Y0 ) ) ) ) ) )
| ( binunionIR = $false ) ),
inference(beta_eta_normalization,[status(thm)],[f62]) ).
thf(f62,plain,
! [X1: $i] :
( ( binunionIR = $false )
| ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ ( binunion @ Y2 @ Y1 ) ) ) ) )
@ X1 ) ) ),
inference(pi_clausification,[status(thm)],[f61]) ).
thf(f61,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ ( binunion @ Y2 @ Y1 ) ) ) ) ) ) )
| ( binunionIR = $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f44]) ).
thf(f44,plain,
( binunionIR
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ ( binunion @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f13,plain,
( binunionIR
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y1 )
=> ( in @ Y0 @ ( binunion @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f12]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X1 )
=> ( in @ X2 @ ( binunion @ X0 @ X1 ) ) )
= binunionIR ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X2 @ X1 )
=> ( in @ X2 @ ( binunion @ X0 @ X1 ) ) )
= binunionIR ),
file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',binunionIR) ).
thf(f793,plain,
! [X0: $i] :
( ( ( in @ ( sK27 @ X0 @ sF10 ) @ sF6 )
= $true )
| ( ( in @ ( sK27 @ X0 @ sF10 ) @ sK1 )
= $false )
| ( $true
= ( subset @ sF10 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f739]) ).
thf(f739,plain,
! [X0: $i] :
( ( ( in @ ( sK27 @ X0 @ sF10 ) @ sK1 )
= $false )
| ( $true
= ( subset @ sF10 @ X0 ) )
| ( $false = $true )
| ( ( in @ ( sK27 @ X0 @ sF10 ) @ sF6 )
= $true ) ),
inference(superposition,[status(thm)],[f222,f524]) ).
thf(f524,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF10 ) )
| ( $false
= ( in @ X0 @ sK1 ) )
| ( $true
= ( in @ X0 @ sF6 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f518]) ).
thf(f518,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sK1 ) )
| ( $false
= ( in @ X0 @ sF10 ) )
| ( $true
= ( in @ X0 @ sF6 ) )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f291,f473]) ).
thf(f291,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sK0 ) )
| ( $true
= ( in @ X0 @ sF6 ) )
| ( $false
= ( in @ X0 @ sK1 ) ) ),
inference(superposition,[status(thm)],[f289,f54]) ).
thf(f1445,plain,
( ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $false )
| ( $true
= ( subset @ sF7 @ sF10 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1444]) ).
thf(f1444,plain,
( ( $true
= ( subset @ sF7 @ sF10 ) )
| ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $false )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f1433]) ).
thf(f1433,plain,
( ( $true
= ( subset @ sF7 @ sF10 ) )
| ( $true
= ( subset @ sF7 @ sF10 ) )
| ( $false = $true )
| ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $false )
| ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $false ) ),
inference(superposition,[status(thm)],[f912,f1259]) ).
thf(f1259,plain,
( ( $true
= ( in @ ( sK27 @ sF10 @ sF7 ) @ sF4 ) )
| ( $true
= ( subset @ sF7 @ sF10 ) )
| ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f1258]) ).
thf(f1258,plain,
( ( $true
= ( in @ ( sK27 @ sF10 @ sF7 ) @ sF4 ) )
| ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $false )
| ( $false = $true )
| ( $true
= ( subset @ sF7 @ sF10 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f1225]) ).
thf(f1225,plain,
( ( $true
= ( in @ ( sK27 @ sF10 @ sF7 ) @ sF4 ) )
| ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $false )
| ( $false = $true )
| ( $true
= ( subset @ sF7 @ sF10 ) )
| ( $true
= ( subset @ sF7 @ sF10 ) ) ),
inference(superposition,[status(thm)],[f787,f937]) ).
thf(f937,plain,
! [X0: $i] :
( ( ( in @ ( sK27 @ sF10 @ X0 ) @ sF6 )
= $false )
| ( $true
= ( subset @ X0 @ sF10 ) )
| ( $false
= ( in @ ( sK27 @ sF10 @ X0 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f927]) ).
thf(f927,plain,
! [X0: $i] :
( ( $false
= ( in @ ( sK27 @ sF10 @ X0 ) @ sK1 ) )
| ( $false = $true )
| ( ( in @ ( sK27 @ sF10 @ X0 ) @ sF6 )
= $false )
| ( $true
= ( subset @ X0 @ sF10 ) ) ),
inference(superposition,[status(thm)],[f603,f715]) ).
thf(f715,plain,
! [X0: $i] :
( ( $false
= ( in @ ( sK27 @ sF10 @ X0 ) @ sF9 ) )
| ( ( in @ ( sK27 @ sF10 @ X0 ) @ sF6 )
= $false )
| ( $true
= ( subset @ X0 @ sF10 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f658]) ).
thf(f658,plain,
! [X0: $i] :
( ( ( in @ ( sK27 @ sF10 @ X0 ) @ sF6 )
= $false )
| ( $false
= ( in @ ( sK27 @ sF10 @ X0 ) @ sF9 ) )
| ( $false = $true )
| ( $true
= ( subset @ X0 @ sF10 ) ) ),
inference(superposition,[status(thm)],[f220,f507]) ).
thf(f507,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF10 ) )
| ( $false
= ( in @ X0 @ sF6 ) )
| ( $false
= ( in @ X0 @ sF9 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f501]) ).
thf(f501,plain,
! [X0: $i] :
( ( $false = $true )
| ( $true
= ( in @ X0 @ sF10 ) )
| ( $false
= ( in @ X0 @ sF9 ) )
| ( $false
= ( in @ X0 @ sF6 ) ) ),
inference(superposition,[status(thm)],[f292,f472]) ).
thf(f472,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sK0 ) )
| ( $false
= ( in @ X0 @ sF6 ) ) ),
inference(superposition,[status(thm)],[f462,f54]) ).
thf(f292,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sK0 ) )
| ( $true
= ( in @ X0 @ sF10 ) )
| ( $false
= ( in @ X0 @ sF9 ) ) ),
inference(superposition,[status(thm)],[f289,f58]) ).
thf(f603,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF9 ) )
| ( $false
= ( in @ X0 @ sK1 ) ) ),
inference(superposition,[status(thm)],[f531,f57]) ).
thf(f531,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( in @ X1 @ ( sF8 @ X0 ) ) )
| ( $false
= ( in @ X1 @ X0 ) ) ),
inference(superposition,[status(thm)],[f232,f278]) ).
thf(f787,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sF6 ) )
| ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sF4 ) )
| ( $true
= ( subset @ sF7 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f759]) ).
thf(f759,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sF6 ) )
| ( $false = $true )
| ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sF4 ) )
| ( $true
= ( subset @ sF7 @ X0 ) ) ),
inference(superposition,[status(thm)],[f321,f222]) ).
thf(f321,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF7 ) )
| ( $true
= ( in @ X0 @ sF4 ) )
| ( $true
= ( in @ X0 @ sF6 ) ) ),
inference(superposition,[status(thm)],[f294,f55]) ).
thf(f294,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( sF5 @ X0 ) ) )
| ( ( in @ X1 @ sF4 )
= $true )
| ( $true
= ( in @ X1 @ X0 ) ) ),
inference(superposition,[status(thm)],[f248,f273]) ).
thf(f912,plain,
! [X0: $i] :
( ( ( in @ ( sK27 @ sF10 @ X0 ) @ sF4 )
= $false )
| ( $false
= ( in @ ( sK27 @ sF10 @ X0 ) @ sK1 ) )
| ( $true
= ( subset @ X0 @ sF10 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f900]) ).
thf(f900,plain,
! [X0: $i] :
( ( $false = $true )
| ( $false
= ( in @ ( sK27 @ sF10 @ X0 ) @ sK1 ) )
| ( $true
= ( subset @ X0 @ sF10 ) )
| ( ( in @ ( sK27 @ sF10 @ X0 ) @ sF4 )
= $false ) ),
inference(superposition,[status(thm)],[f705,f603]) ).
thf(f705,plain,
! [X0: $i] :
( ( $false
= ( in @ ( sK27 @ sF10 @ X0 ) @ sF9 ) )
| ( $true
= ( subset @ X0 @ sF10 ) )
| ( ( in @ ( sK27 @ sF10 @ X0 ) @ sF4 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f659]) ).
thf(f659,plain,
! [X0: $i] :
( ( $false = $true )
| ( $false
= ( in @ ( sK27 @ sF10 @ X0 ) @ sF9 ) )
| ( ( in @ ( sK27 @ sF10 @ X0 ) @ sF4 )
= $false )
| ( $true
= ( subset @ X0 @ sF10 ) ) ),
inference(superposition,[status(thm)],[f220,f492]) ).
thf(f492,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF10 ) )
| ( $false
= ( in @ X0 @ sF9 ) )
| ( $false
= ( in @ X0 @ sF4 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f485]) ).
thf(f485,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF10 ) )
| ( $false
= ( in @ X0 @ sF9 ) )
| ( $false
= ( in @ X0 @ sF4 ) )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f292,f471]) ).
thf(f471,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sK0 ) )
| ( $false
= ( in @ X0 @ sF4 ) ) ),
inference(superposition,[status(thm)],[f462,f52]) ).
thf(f5526,plain,
( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $true ),
inference(trivial_inequality_removal,[status(thm)],[f5525]) ).
thf(f5525,plain,
( ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $true )
| ( $false = $true ) ),
inference(forward_demodulation,[status(thm)],[f5524,f5486]) ).
thf(f5524,plain,
( ( $true
= ( subset @ sF7 @ sF10 ) )
| ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f5517]) ).
thf(f5517,plain,
( ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK1 )
= $true )
| ( $false = $true )
| ( $true
= ( subset @ sF7 @ sF10 ) ) ),
inference(superposition,[status(thm)],[f5494,f1381]) ).
thf(f1381,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sK2 ) )
| ( $true
= ( subset @ sF7 @ X0 ) )
| ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1367]) ).
thf(f1367,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sK1 ) )
| ( $false = $true )
| ( $true
= ( subset @ sF7 @ X0 ) )
| ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sK2 ) ) ),
inference(superposition,[status(thm)],[f439,f1257]) ).
thf(f1257,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sF4 ) )
| ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sK1 ) )
| ( $true
= ( subset @ sF7 @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1228]) ).
thf(f1228,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sK1 ) )
| ( $true
= ( subset @ sF7 @ X0 ) )
| ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sF4 ) )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f787,f440]) ).
thf(f440,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF6 ) )
| ( $true
= ( in @ X0 @ sK1 ) ) ),
inference(superposition,[status(thm)],[f430,f54]) ).
thf(f439,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF4 ) )
| ( $true
= ( in @ X0 @ sK2 ) ) ),
inference(superposition,[status(thm)],[f430,f52]) ).
thf(f5494,plain,
( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK2 )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f5488]) ).
thf(f5488,plain,
( ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK2 )
= $false )
| ( $false = $true ) ),
inference(backward_demodulation,[status(thm)],[f1338,f5486]) ).
thf(f1338,plain,
( ( $true
= ( subset @ sF7 @ sF10 ) )
| ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK2 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f1337]) ).
thf(f1337,plain,
( ( $false = $true )
| ( $true
= ( subset @ sF7 @ sF10 ) )
| ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK2 )
= $false ) ),
inference(duplicate_literal_removal,[status(thm)],[f1328]) ).
thf(f1328,plain,
( ( $true
= ( subset @ sF7 @ sF10 ) )
| ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK2 )
= $false )
| ( $true
= ( subset @ sF7 @ sF10 ) )
| ( ( in @ ( sK27 @ sF10 @ sF7 ) @ sK2 )
= $false )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f909,f1244]) ).
thf(f1244,plain,
! [X0: $i] :
( ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sF4 ) )
| ( $true
= ( subset @ sF7 @ X0 ) )
| ( $false
= ( in @ ( sK27 @ X0 @ sF7 ) @ sK2 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1243]) ).
thf(f1243,plain,
! [X0: $i] :
( ( $true
= ( subset @ sF7 @ X0 ) )
| ( $false
= ( in @ ( sK27 @ X0 @ sF7 ) @ sK2 ) )
| ( $false = $true )
| ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sF4 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f1227]) ).
thf(f1227,plain,
! [X0: $i] :
( ( $true
= ( subset @ sF7 @ X0 ) )
| ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sF4 ) )
| ( $true
= ( in @ ( sK27 @ X0 @ sF7 ) @ sF4 ) )
| ( $false = $true )
| ( $false
= ( in @ ( sK27 @ X0 @ sF7 ) @ sK2 ) ) ),
inference(superposition,[status(thm)],[f787,f509]) ).
thf(f509,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF6 ) )
| ( $true
= ( in @ X0 @ sF4 ) )
| ( $false
= ( in @ X0 @ sK2 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f500]) ).
thf(f500,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sF6 ) )
| ( $false = $true )
| ( $false
= ( in @ X0 @ sK2 ) )
| ( $true
= ( in @ X0 @ sF4 ) ) ),
inference(superposition,[status(thm)],[f472,f290]) ).
thf(f909,plain,
! [X0: $i] :
( ( ( in @ ( sK27 @ sF10 @ X0 ) @ sF4 )
= $false )
| ( $false
= ( in @ ( sK27 @ sF10 @ X0 ) @ sK2 ) )
| ( $true
= ( subset @ X0 @ sF10 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f904]) ).
thf(f904,plain,
! [X0: $i] :
( ( $false = $true )
| ( $false
= ( in @ ( sK27 @ sF10 @ X0 ) @ sK2 ) )
| ( $true
= ( subset @ X0 @ sF10 ) )
| ( ( in @ ( sK27 @ sF10 @ X0 ) @ sF4 )
= $false ) ),
inference(superposition,[status(thm)],[f629,f705]) ).
thf(f629,plain,
! [X0: $i] :
( ( $true
= ( in @ X0 @ sF9 ) )
| ( $false
= ( in @ X0 @ sK2 ) ) ),
inference(superposition,[status(thm)],[f574,f57]) ).
thf(f574,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( in @ X1 @ ( sF8 @ X0 ) ) )
| ( $false
= ( in @ X1 @ sK2 ) ) ),
inference(superposition,[status(thm)],[f236,f278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU600^2 : TPTP v9.2.1. Released v3.7.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n004.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 12:27:56 EST 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.45 ---- Original DTF file ---
% 0.18/0.45 thf(spec,logic,$$dhol).
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 % File : SEU600^2 : TPTP v9.2.1. Released v3.7.0.
% 0.18/0.45 % Domain : Set Theory
% 0.18/0.45 % Problem : Preliminary Notions - Ops on Sets - Unions and Intersections
% 0.18/0.45 % Version : Especial > Reduced > Especial.
% 0.18/0.45 % English : (! A:i.! B:i.! C:i.binintersect A (binunion B C) = binunion
% 0.18/0.45 % (binintersect A B) (binintersect A C))
% 0.18/0.45
% 0.18/0.45 % Refs : [Bro08] Brown (2008), Email to G. Sutcliffe
% 0.18/0.45 % Source : [Bro08]
% 0.18/0.45 % Names : ZFC102l [Bro08]
% 0.18/0.45
% 0.18/0.45 % Status : Theorem
% 0.18/0.45 % Rating : 0.56 v9.1.0, 0.62 v9.0.0, 0.70 v8.2.0, 0.85 v8.1.0, 0.91 v7.5.0, 0.86 v7.4.0, 0.56 v7.2.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.86 v5.5.0, 0.83 v5.4.0, 0.80 v5.2.0, 1.00 v3.7.0
% 0.18/0.45 % Syntax : Number of formulae : 21 ( 8 unt; 12 typ; 8 def)
% 0.18/0.45 % Number of atoms : 45 ( 10 equ; 0 cnn)
% 0.18/0.45 % Maximal formula atoms : 9 ( 5 avg)
% 0.18/0.45 % Number of connectives : 83 ( 0 ~; 0 |; 0 &; 60 @)
% 0.18/0.45 % ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% 0.18/0.45 % Maximal formula depth : 12 ( 2 avg)
% 0.18/0.45 % Number of types : 2 ( 0 usr)
% 0.18/0.45 % Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% 0.18/0.45 % Number of symbols : 13 ( 12 usr; 8 con; 0-2 aty)
% 0.18/0.45 % Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% 0.18/0.45 % SPC : TH0_THM_EQU_NAR
% 0.18/0.45
% 0.18/0.45 % Comments : http://mathgate.info/detsetitem.php?id=266
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 thf(in_type,type,
% 0.18/0.45 in: $i > $i > $o ).
% 0.18/0.45
% 0.18/0.45 thf(subset_type,type,
% 0.18/0.45 subset: $i > $i > $o ).
% 0.18/0.45
% 0.18/0.45 thf(subsetI1_type,type,
% 0.18/0.45 subsetI1: $o ).
% 0.18/0.45
% 0.18/0.45 thf(subsetI1,definition,
% 0.18/0.45 ( subsetI1
% 0.18/0.45 = ( ! [A: $i,B: $i] :
% 0.18/0.45 ( ! [Xx: $i] :
% 0.18/0.45 ( ( in @ Xx @ A )
% 0.18/0.45 => ( in @ Xx @ B ) )
% 0.18/0.45 => ( subset @ A @ B ) ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(setextsub_type,type,
% 0.18/0.45 setextsub: $o ).
% 0.18/0.45
% 0.18/0.45 thf(setextsub,definition,
% 0.18/0.45 ( setextsub
% 0.18/0.45 = ( ! [A: $i,B: $i] :
% 0.18/0.45 ( ( subset @ A @ B )
% 0.18/0.45 => ( ( subset @ B @ A )
% 0.18/0.45 => ( A = B ) ) ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(binunion_type,type,
% 0.18/0.45 binunion: $i > $i > $i ).
% 0.18/0.45
% 0.18/0.45 thf(binunionIL_type,type,
% 0.18/0.45 binunionIL: $o ).
% 0.18/0.45
% 0.18/0.45 thf(binunionIL,definition,
% 0.18/0.45 ( binunionIL
% 0.18/0.45 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.45 ( ( in @ Xx @ A )
% 0.18/0.45 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(binunionIR_type,type,
% 0.18/0.45 binunionIR: $o ).
% 0.18/0.45
% 0.18/0.45 thf(binunionIR,definition,
% 0.18/0.45 ( binunionIR
% 0.18/0.45 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.45 ( ( in @ Xx @ B )
% 0.18/0.45 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(binunionEcases_type,type,
% 0.18/0.45 binunionEcases: $o ).
% 0.18/0.45
% 0.18/0.45 thf(binunionEcases,definition,
% 0.18/0.45 ( binunionEcases
% 0.18/0.45 = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
% 0.18/0.45 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 0.18/0.45 => ( ( ( in @ Xx @ A )
% 0.18/0.45 => Xphi )
% 0.18/0.45 => ( ( ( in @ Xx @ B )
% 0.18/0.45 => Xphi )
% 0.18/0.45 => Xphi ) ) ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(binintersect_type,type,
% 0.18/0.45 binintersect: $i > $i > $i ).
% 0.18/0.45
% 0.18/0.45 thf(binintersectI_type,type,
% 0.18/0.45 binintersectI: $o ).
% 0.18/0.45
% 0.18/0.45 thf(binintersectI,definition,
% 0.18/0.45 ( binintersectI
% 0.18/0.45 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.45 ( ( in @ Xx @ A )
% 0.18/0.45 => ( ( in @ Xx @ B )
% 0.18/0.45 => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(binintersectEL_type,type,
% 0.18/0.45 binintersectEL: $o ).
% 0.18/0.45
% 0.18/0.45 thf(binintersectEL,definition,
% 0.18/0.45 ( binintersectEL
% 0.18/0.45 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.45 ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 0.18/0.45 => ( in @ Xx @ A ) ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(binintersectER_type,type,
% 0.18/0.45 binintersectER: $o ).
% 0.18/0.45
% 0.18/0.45 thf(binintersectER,definition,
% 0.18/0.45 ( binintersectER
% 0.18/0.45 = ( ! [A: $i,B: $i,Xx: $i] :
% 0.18/0.45 ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 0.18/0.45 => ( in @ Xx @ B ) ) ) ) ).
% 0.18/0.45
% 0.18/0.45 thf(bs114d,conjecture,
% 0.18/0.45 ( subsetI1
% 0.18/0.45 => ( setextsub
% 0.18/0.45 => ( binunionIL
% 0.18/0.45 => ( binunionIR
% 0.18/0.45 => ( binunionEcases
% 0.18/0.45 => ( binintersectI
% 0.18/0.45 => ( binintersectEL
% 0.18/0.45 => ( binintersectER
% 0.18/0.45 => ! [A: $i,B: $i,C: $i] :
% 0.18/0.45 ( ( binintersect @ A @ ( binunion @ B @ C ) )
% 0.18/0.45 = ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ) ) ) ) ) ) ) ) ) ).
% 0.18/0.45
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 ------------------------
% 1.54/1.39 ---- Embedded in THF ---
% 1.54/1.39 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.54/1.39 %%% Generated on Tue Feb 24 12:27:57 EST 2026
% 1.54/1.39 %%% using '$$dhol' embedding, version 1.3.0.
% 1.54/1.39 %%% Logic specification used:
% 1.54/1.39 %%% thf(spec, logic, $$dhol).
% 1.54/1.39
% 1.54/1.39 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2DTF3093.p
% See solution above
% 1.54/1.39 ------------------------
% 1.75/1.40 ---- Cleaned THF ---
% 1.75/1.40 thf(in_type,type,
% 1.75/1.40 in: $i > $i > $o ).
% 1.75/1.40
% 1.75/1.40 thf(subset_type,type,
% 1.75/1.40 subset: $i > $i > $o ).
% 1.75/1.40
% 1.75/1.40 thf(subsetI1_type,type,
% 1.75/1.40 subsetI1: $o ).
% 1.75/1.40
% 1.75/1.40 thf(subsetI1,definition,
% 1.75/1.40 ( subsetI1
% 1.75/1.40 = ( ! [A: $i,B: $i] :
% 1.75/1.40 ( ! [Xx: $i] :
% 1.75/1.40 ( ( in @ Xx @ A )
% 1.75/1.40 => ( in @ Xx @ B ) )
% 1.75/1.40 => ( subset @ A @ B ) ) ) ) ).
% 1.75/1.40
% 1.75/1.40 thf(setextsub_type,type,
% 1.75/1.40 setextsub: $o ).
% 1.75/1.40
% 1.75/1.40 thf(setextsub,definition,
% 1.75/1.40 ( setextsub
% 1.75/1.40 = ( ! [A: $i,B: $i] :
% 1.75/1.40 ( ( subset @ A @ B )
% 1.75/1.40 => ( ( subset @ B @ A )
% 1.75/1.40 => ( A = B ) ) ) ) ) ).
% 1.75/1.40
% 1.75/1.40 thf(binunion_type,type,
% 1.75/1.40 binunion: $i > $i > $i ).
% 1.75/1.40
% 1.75/1.40 thf(binunionIL_type,type,
% 1.75/1.40 binunionIL: $o ).
% 1.75/1.40
% 1.75/1.40 thf(binunionIL,definition,
% 1.75/1.40 ( binunionIL
% 1.75/1.40 = ( ! [A: $i,B: $i,Xx: $i] :
% 1.75/1.40 ( ( in @ Xx @ A )
% 1.75/1.40 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 1.75/1.40
% 1.75/1.40 thf(binunionIR_type,type,
% 1.75/1.40 binunionIR: $o ).
% 1.75/1.40
% 1.75/1.40 thf(binunionIR,definition,
% 1.75/1.40 ( binunionIR
% 1.75/1.40 = ( ! [A: $i,B: $i,Xx: $i] :
% 1.75/1.40 ( ( in @ Xx @ B )
% 1.75/1.40 => ( in @ Xx @ ( binunion @ A @ B ) ) ) ) ) ).
% 1.75/1.40
% 1.75/1.40 thf(binunionEcases_type,type,
% 1.75/1.40 binunionEcases: $o ).
% 1.75/1.40
% 1.75/1.40 thf(binunionEcases,definition,
% 1.75/1.40 ( binunionEcases
% 1.75/1.40 = ( ! [A: $i,B: $i,Xx: $i,Xphi: $o] :
% 1.75/1.40 ( ( in @ Xx @ ( binunion @ A @ B ) )
% 1.75/1.40 => ( ( ( in @ Xx @ A )
% 1.75/1.40 => Xphi )
% 1.75/1.40 => ( ( ( in @ Xx @ B )
% 1.75/1.40 => Xphi )
% 1.75/1.40 => Xphi ) ) ) ) ) ).
% 1.75/1.40
% 1.75/1.40 thf(binintersect_type,type,
% 1.75/1.40 binintersect: $i > $i > $i ).
% 1.75/1.40
% 1.75/1.40 thf(binintersectI_type,type,
% 1.75/1.40 binintersectI: $o ).
% 1.75/1.40
% 1.75/1.40 thf(binintersectI,definition,
% 1.75/1.40 ( binintersectI
% 1.75/1.40 = ( ! [A: $i,B: $i,Xx: $i] :
% 1.75/1.40 ( ( in @ Xx @ A )
% 1.75/1.40 => ( ( in @ Xx @ B )
% 1.75/1.40 => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ) ) ) ).
% 1.75/1.40
% 1.75/1.40 thf(binintersectEL_type,type,
% 1.75/1.40 binintersectEL: $o ).
% 1.75/1.40
% 1.75/1.40 thf(binintersectEL,definition,
% 1.75/1.40 ( binintersectEL
% 1.75/1.40 = ( ! [A: $i,B: $i,Xx: $i] :
% 1.75/1.40 ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 1.75/1.40 => ( in @ Xx @ A ) ) ) ) ).
% 1.75/1.40
% 1.75/1.40 thf(binintersectER_type,type,
% 1.75/1.40 binintersectER: $o ).
% 1.75/1.40
% 1.75/1.40 thf(binintersectER,definition,
% 1.75/1.40 ( binintersectER
% 1.75/1.40 = ( ! [A: $i,B: $i,Xx: $i] :
% 1.75/1.40 ( ( in @ Xx @ ( binintersect @ A @ B ) )
% 1.75/1.40 => ( in @ Xx @ B ) ) ) ) ).
% 1.75/1.40
% 1.75/1.40 thf(bs114d,conjecture,
% 1.75/1.40 ( subsetI1
% 1.75/1.40 => ( setextsub
% 1.75/1.40 => ( binunionIL
% 1.75/1.40 => ( binunionIR
% 1.75/1.40 => ( binunionEcases
% 1.75/1.40 => ( binintersectI
% 1.75/1.40 => ( binintersectEL
% 1.75/1.40 => ( binintersectER
% 1.75/1.40 => ! [A: $i,B: $i,C: $i] :
% 1.75/1.40 ( ( binintersect @ A @ ( binunion @ B @ C ) )
% 1.75/1.40 = ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ) ) ) ) ) ) ) ) ) ).
% 1.75/1.40 ------------------------
% 1.75/1.42 % (3193)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/2Mi)
% 1.75/1.42 % (3196)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/18Mi)
% 1.75/1.42 % (3194)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/2Mi)
% 1.75/1.42 % (3191)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/4Mi)
% 1.75/1.42 % (3190)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/183Mi)
% 1.75/1.42 % (3192)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/27Mi)
% 1.75/1.42 % (3195)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/275Mi)
% 1.75/1.42 % (3193)Instruction limit reached!
% 1.75/1.42 % (3193)------------------------------
% 1.75/1.42 % (3193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.42 % (3193)Termination reason: Unknown
% 1.75/1.42 % (3193)Termination phase: shuffling
% 1.75/1.42
% 1.75/1.42 % (3194)Instruction limit reached!
% 1.75/1.42 % (3194)------------------------------
% 1.75/1.42 % (3194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.42 % (3194)Termination reason: Unknown
% 1.75/1.42 % (3194)Termination phase: shuffling
% 1.75/1.42
% 1.75/1.42 % (3194)Memory used [KB]: 1023
% 1.75/1.42 % (3194)Time elapsed: 0.003 s
% 1.75/1.42 % (3194)Instructions burned: 2 (million)
% 1.75/1.42 % (3194)------------------------------
% 1.75/1.42 % (3194)------------------------------
% 1.75/1.42 % (3193)Memory used [KB]: 1023
% 1.75/1.42 % (3193)Time elapsed: 0.003 s
% 1.75/1.42 % (3193)Instructions burned: 2 (million)
% 1.75/1.42 % (3193)------------------------------
% 1.75/1.42 % (3193)------------------------------
% 1.75/1.42 % (3191)Instruction limit reached!
% 1.75/1.42 % (3191)------------------------------
% 1.75/1.42 % (3191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.42 % (3191)Termination reason: Unknown
% 1.75/1.42 % (3191)Termination phase: Function definition elimination
% 1.75/1.42
% 1.75/1.42 % (3191)Memory used [KB]: 1023
% 1.75/1.42 % (3191)Time elapsed: 0.004 s
% 1.75/1.42 % (3191)Instructions burned: 4 (million)
% 1.75/1.42 % (3191)------------------------------
% 1.75/1.42 % (3191)------------------------------
% 1.75/1.43 % (3196)Instruction limit reached!
% 1.75/1.43 % (3196)------------------------------
% 1.75/1.43 % (3196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.43 % (3196)Termination reason: Unknown
% 1.75/1.43 % (3196)Termination phase: Saturation
% 1.75/1.43
% 1.75/1.43 % (3196)Memory used [KB]: 5628
% 1.75/1.43 % (3196)Time elapsed: 0.012 s
% 1.75/1.43 % (3196)Instructions burned: 19 (million)
% 1.75/1.43 % (3196)------------------------------
% 1.75/1.43 % (3196)------------------------------
% 1.75/1.43 % (3192)Instruction limit reached!
% 1.75/1.43 % (3192)------------------------------
% 1.75/1.43 % (3192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.43 % (3192)Termination reason: Unknown
% 1.75/1.43 % (3192)Termination phase: Saturation
% 1.75/1.43
% 1.75/1.43 % (3192)Memory used [KB]: 5628
% 1.75/1.43 % (3192)Time elapsed: 0.016 s
% 1.75/1.43 % (3192)Instructions burned: 27 (million)
% 1.75/1.44 % (3192)------------------------------
% 1.75/1.44 % (3192)------------------------------
% 1.75/1.44 % (3198)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/37Mi)
% 1.75/1.44 % (3197)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/3Mi)
% 1.75/1.44 % (3199)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/15Mi)
% 1.75/1.44 % (3197)Instruction limit reached!
% 1.75/1.44 % (3197)------------------------------
% 1.75/1.44 % (3197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.44 % (3197)Termination reason: Unknown
% 1.75/1.44 % (3197)Termination phase: Property scanning
% 1.75/1.44
% 1.75/1.44 % (3197)Memory used [KB]: 1023
% 1.75/1.44 % (3197)Time elapsed: 0.003 s
% 1.75/1.44 % (3197)Instructions burned: 3 (million)
% 1.75/1.44 % (3197)------------------------------
% 1.75/1.44 % (3197)------------------------------
% 1.75/1.45 % (3199)Instruction limit reached!
% 1.75/1.45 % (3199)------------------------------
% 1.75/1.45 % (3199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.45 % (3199)Termination reason: Unknown
% 1.75/1.45 % (3199)Termination phase: Saturation
% 1.75/1.45
% 1.75/1.45 % (3199)Memory used [KB]: 5628
% 1.75/1.45 % (3199)Time elapsed: 0.010 s
% 1.75/1.45 % (3199)Instructions burned: 16 (million)
% 1.75/1.45 % (3199)------------------------------
% 1.75/1.45 % (3199)------------------------------
% 1.75/1.45 % (3200)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/3Mi)
% 1.75/1.45 % (3200)Instruction limit reached!
% 1.75/1.45 % (3200)------------------------------
% 1.75/1.45 % (3200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.45 % (3200)Termination reason: Unknown
% 1.75/1.45 % (3200)Termination phase: Property scanning
% 1.75/1.45
% 1.75/1.45 % (3200)Memory used [KB]: 1023
% 1.75/1.45 % (3200)Time elapsed: 0.003 s
% 1.75/1.45 % (3200)Instructions burned: 3 (million)
% 1.75/1.45 % (3200)------------------------------
% 1.75/1.45 % (3200)------------------------------
% 1.75/1.45 % (3201)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/1041Mi)
% 1.75/1.46 % (3202)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/7Mi)
% 1.75/1.46 % (3198)Instruction limit reached!
% 1.75/1.46 % (3198)------------------------------
% 1.75/1.46 % (3198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.46 % (3198)Termination reason: Unknown
% 1.75/1.46 % (3198)Termination phase: Saturation
% 1.75/1.46
% 1.75/1.46 % (3198)Memory used [KB]: 5628
% 1.75/1.46 % (3198)Time elapsed: 0.019 s
% 1.75/1.46 % (3198)Instructions burned: 38 (million)
% 1.75/1.46 % (3198)------------------------------
% 1.75/1.46 % (3198)------------------------------
% 1.75/1.46 % (3202)Instruction limit reached!
% 1.75/1.46 % (3202)------------------------------
% 1.75/1.46 % (3202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.46 % (3202)Termination reason: Unknown
% 1.75/1.46 % (3202)Termination phase: Saturation
% 1.75/1.46
% 1.75/1.46 % (3202)Memory used [KB]: 1023
% 1.75/1.46 % (3202)Time elapsed: 0.005 s
% 1.75/1.46 % (3202)Instructions burned: 7 (million)
% 1.75/1.46 % (3202)------------------------------
% 1.75/1.46 % (3202)------------------------------
% 1.75/1.46 % (3203)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/16Mi)
% 1.75/1.46 % (3204)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/3Mi)
% 1.75/1.47 % (3204)Instruction limit reached!
% 1.75/1.47 % (3204)------------------------------
% 1.75/1.47 % (3204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.47 % (3204)Termination reason: Unknown
% 1.75/1.47 % (3204)Termination phase: Property scanning
% 1.75/1.47
% 1.75/1.47 % (3204)Memory used [KB]: 1023
% 1.75/1.47 % (3204)Time elapsed: 0.003 s
% 1.75/1.47 % (3204)Instructions burned: 4 (million)
% 1.75/1.47 % (3204)------------------------------
% 1.75/1.47 % (3204)------------------------------
% 1.75/1.47 % (3203)Instruction limit reached!
% 1.75/1.47 % (3203)------------------------------
% 1.75/1.47 % (3203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.47 % (3203)Termination reason: Unknown
% 1.75/1.47 % (3203)Termination phase: Saturation
% 1.75/1.47
% 1.75/1.47 % (3203)Memory used [KB]: 5884
% 1.75/1.47 % (3203)Time elapsed: 0.010 s
% 1.75/1.47 % (3205)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/3Mi)
% 1.75/1.47 % (3203)Instructions burned: 16 (million)
% 1.75/1.47 % (3203)------------------------------
% 1.75/1.47 % (3203)------------------------------
% 1.75/1.47 % (3205)Instruction limit reached!
% 1.75/1.47 % (3205)------------------------------
% 1.75/1.47 % (3205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.47 % (3205)Termination reason: Unknown
% 1.75/1.47 % (3205)Termination phase: shuffling
% 1.75/1.47
% 1.75/1.47 % (3205)Memory used [KB]: 1023
% 1.75/1.47 % (3205)Time elapsed: 0.003 s
% 1.75/1.47 % (3205)Instructions burned: 3 (million)
% 1.75/1.47 % (3205)------------------------------
% 1.75/1.47 % (3205)------------------------------
% 1.75/1.48 % (3206)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/7Mi)
% 1.75/1.48 % (3206)Refutation not found, incomplete strategy
% 1.75/1.48 % (3206)------------------------------
% 1.75/1.48 % (3206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.48 % (3206)Termination reason: Refutation not found, incomplete strategy
% 1.75/1.48
% 1.75/1.48
% 1.75/1.48 % (3206)Memory used [KB]: 5500
% 1.75/1.48 % (3206)Time elapsed: 0.004 s
% 1.75/1.48 % (3206)Instructions burned: 6 (million)
% 1.75/1.48 % (3206)------------------------------
% 1.75/1.48 % (3206)------------------------------
% 1.75/1.48 % (3207)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/3Mi)
% 1.75/1.48 % (3207)Instruction limit reached!
% 1.75/1.48 % (3207)------------------------------
% 1.75/1.48 % (3207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.48 % (3207)Termination reason: Unknown
% 1.75/1.48 % (3207)Termination phase: Property scanning
% 1.75/1.48
% 1.75/1.48 % (3207)Memory used [KB]: 1023
% 1.75/1.48 % (3207)Time elapsed: 0.003 s
% 1.75/1.48 % (3207)Instructions burned: 4 (million)
% 1.75/1.48 % (3207)------------------------------
% 1.75/1.48 % (3207)------------------------------
% 1.75/1.49 % (3208)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/4Mi)
% 1.75/1.49 % (3209)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/18Mi)
% 1.75/1.49 % (3208)Instruction limit reached!
% 1.75/1.49 % (3208)------------------------------
% 1.75/1.49 % (3208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.49 % (3208)Termination reason: Unknown
% 1.75/1.49 % (3208)Termination phase: Saturation
% 1.75/1.49
% 1.75/1.49 % (3208)Memory used [KB]: 5500
% 1.75/1.49 % (3208)Time elapsed: 0.004 s
% 1.75/1.49 % (3208)Instructions burned: 5 (million)
% 1.75/1.49 % (3208)------------------------------
% 1.75/1.49 % (3208)------------------------------
% 1.75/1.49 % (3210)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/710Mi)
% 1.75/1.50 % (3209)Instruction limit reached!
% 1.75/1.50 % (3209)------------------------------
% 1.75/1.50 % (3209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.50 % (3209)Termination reason: Unknown
% 1.75/1.50 % (3209)Termination phase: Saturation
% 1.75/1.50
% 1.75/1.50 % (3209)Memory used [KB]: 5628
% 1.75/1.50 % (3209)Time elapsed: 0.011 s
% 1.75/1.50 % (3209)Instructions burned: 18 (million)
% 1.75/1.50 % (3209)------------------------------
% 1.75/1.50 % (3209)------------------------------
% 1.75/1.50 % (3211)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/6Mi)
% 1.75/1.50 % (3211)Instruction limit reached!
% 1.75/1.50 % (3211)------------------------------
% 1.75/1.50 % (3211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.50 % (3211)Termination reason: Unknown
% 1.75/1.50 % (3211)Termination phase: Saturation
% 1.75/1.50
% 1.75/1.50 % (3211)Memory used [KB]: 5500
% 1.75/1.50 % (3211)Time elapsed: 0.005 s
% 1.75/1.50 % (3211)Instructions burned: 7 (million)
% 1.75/1.50 % (3211)------------------------------
% 1.75/1.50 % (3211)------------------------------
% 1.75/1.51 % (3212)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/902Mi)
% 1.75/1.51 % (3212)Refutation not found, incomplete strategy
% 1.75/1.51 % (3212)------------------------------
% 1.75/1.51 % (3212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.51 % (3212)Termination reason: Refutation not found, incomplete strategy
% 1.75/1.51
% 1.75/1.51
% 1.75/1.51 % (3212)Memory used [KB]: 5500
% 1.75/1.51 % (3212)Time elapsed: 0.005 s
% 1.75/1.51 % (3212)Instructions burned: 7 (million)
% 1.75/1.51 % (3212)------------------------------
% 1.75/1.51 % (3212)------------------------------
% 1.75/1.51 % (3190)Instruction limit reached!
% 1.75/1.51 % (3190)------------------------------
% 1.75/1.51 % (3190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.51 % (3190)Termination reason: Unknown
% 1.75/1.51 % (3190)Termination phase: Saturation
% 1.75/1.51
% 1.75/1.51 % (3190)Memory used [KB]: 6524
% 1.75/1.51 % (3190)Time elapsed: 0.092 s
% 1.75/1.51 % (3190)Instructions burned: 184 (million)
% 1.75/1.51 % (3190)------------------------------
% 1.75/1.51 % (3190)------------------------------
% 1.75/1.52 % (3213)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/21Mi)
% 1.75/1.52 % (3214)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/5Mi)
% 1.75/1.52 % (3214)Instruction limit reached!
% 1.75/1.52 % (3214)------------------------------
% 1.75/1.52 % (3214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.52 % (3214)Termination reason: Unknown
% 1.75/1.52 % (3214)Termination phase: Property scanning
% 1.75/1.52
% 1.75/1.52 % (3214)Memory used [KB]: 1023
% 1.75/1.52 % (3214)Time elapsed: 0.004 s
% 1.75/1.52 % (3214)Instructions burned: 5 (million)
% 1.75/1.52 % (3214)------------------------------
% 1.75/1.52 % (3214)------------------------------
% 1.75/1.53 % (3213)Instruction limit reached!
% 1.75/1.53 % (3213)------------------------------
% 1.75/1.53 % (3213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.53 % (3213)Termination reason: Unknown
% 1.75/1.53 % (3213)Termination phase: Saturation
% 1.75/1.53
% 1.75/1.53 % (3213)Memory used [KB]: 5500
% 1.75/1.53 % (3213)Time elapsed: 0.012 s
% 1.75/1.53 % (3213)Instructions burned: 21 (million)
% 1.75/1.53 % (3213)------------------------------
% 1.75/1.53 % (3213)------------------------------
% 1.75/1.53 % (3216)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/377Mi)
% 1.75/1.53 % (3215)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_3093 for (2999ds/6Mi)
% 1.75/1.53 % (3215)Instruction limit reached!
% 1.75/1.53 % (3215)------------------------------
% 1.75/1.53 % (3215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.53 % (3215)Termination reason: Unknown
% 1.75/1.53 % (3215)Termination phase: Saturation
% 1.75/1.53
% 1.75/1.53 % (3215)Memory used [KB]: 5500
% 1.75/1.53 % (3215)Time elapsed: 0.005 s
% 1.75/1.53 % (3215)Instructions burned: 8 (million)
% 1.75/1.53 % (3215)------------------------------
% 1.75/1.53 % (3215)------------------------------
% 1.75/1.54 % (3217)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_3093 for (2998ds/779Mi)
% 1.75/1.54 % (3218)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_3093 for (2998ds/19Mi)
% 1.75/1.55 % (3219)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_3093 for (2998ds/879Mi)
% 1.75/1.55 % (3218)Instruction limit reached!
% 1.75/1.55 % (3218)------------------------------
% 1.75/1.55 % (3218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.55 % (3218)Termination reason: Unknown
% 1.75/1.55 % (3218)Termination phase: Saturation
% 1.75/1.55
% 1.75/1.55 % (3218)Memory used [KB]: 5628
% 1.75/1.55 % (3218)Time elapsed: 0.011 s
% 1.75/1.55 % (3218)Instructions burned: 20 (million)
% 1.75/1.55 % (3218)------------------------------
% 1.75/1.55 % (3218)------------------------------
% 1.75/1.56 % (3195)Instruction limit reached!
% 1.75/1.56 % (3195)------------------------------
% 1.75/1.56 % (3195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.56 % (3195)Termination reason: Unknown
% 1.75/1.56 % (3195)Termination phase: Saturation
% 1.75/1.56
% 1.75/1.56 % (3195)Memory used [KB]: 6524
% 1.75/1.56 % (3195)Time elapsed: 0.137 s
% 1.75/1.56 % (3195)Instructions burned: 276 (million)
% 1.75/1.56 % (3195)------------------------------
% 1.75/1.56 % (3195)------------------------------
% 1.75/1.57 % (3220)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_3093 for (2998ds/17Mi)
% 1.75/1.57 % (3221)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_3093 for (2998ds/3Mi)
% 1.75/1.57 % (3221)Instruction limit reached!
% 1.75/1.57 % (3221)------------------------------
% 1.75/1.57 % (3221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.57 % (3221)Termination reason: Unknown
% 1.75/1.57 % (3221)Termination phase: shuffling
% 1.75/1.57
% 1.75/1.57 % (3221)Memory used [KB]: 1023
% 1.75/1.57 % (3221)Time elapsed: 0.003 s
% 1.75/1.57 % (3221)Instructions burned: 3 (million)
% 1.75/1.57 % (3221)------------------------------
% 1.75/1.57 % (3221)------------------------------
% 1.75/1.58 % (3220)Instruction limit reached!
% 1.75/1.58 % (3220)------------------------------
% 1.75/1.58 % (3220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.58 % (3220)Termination reason: Unknown
% 1.75/1.58 % (3220)Termination phase: Saturation
% 1.75/1.58
% 1.75/1.58 % (3220)Memory used [KB]: 5628
% 1.75/1.58 % (3220)Time elapsed: 0.011 s
% 1.75/1.58 % (3220)Instructions burned: 17 (million)
% 1.75/1.58 % (3220)------------------------------
% 1.75/1.58 % (3220)------------------------------
% 1.75/1.59 % (3222)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_3093 for (2998ds/30Mi)
% 1.75/1.59 % (3223)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_3093 for (2998ds/127Mi)
% 1.75/1.60 % (3222)Refutation not found, incomplete strategy
% 1.75/1.60 % (3222)------------------------------
% 1.75/1.60 % (3222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.60 % (3222)Termination reason: Refutation not found, incomplete strategy
% 1.75/1.60
% 1.75/1.60
% 1.75/1.60 % (3222)Memory used [KB]: 5500
% 1.75/1.60 % (3222)Time elapsed: 0.009 s
% 1.75/1.60 % (3222)Instructions burned: 15 (million)
% 1.75/1.60 % (3222)------------------------------
% 1.75/1.60 % (3222)------------------------------
% 1.75/1.61 % (3224)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_3093 for (2998ds/100Mi)
% 1.75/1.66 % (3223)Instruction limit reached!
% 1.75/1.66 % (3223)------------------------------
% 1.75/1.66 % (3223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.66 % (3223)Termination reason: Unknown
% 1.75/1.66 % (3223)Termination phase: Saturation
% 1.75/1.66
% 1.75/1.66 % (3223)Memory used [KB]: 5884
% 1.75/1.66 % (3223)Time elapsed: 0.088 s
% 1.75/1.66 % (3223)Instructions burned: 127 (million)
% 1.75/1.66 % (3223)------------------------------
% 1.75/1.66 % (3223)------------------------------
% 1.75/1.66 % (3224)Instruction limit reached!
% 1.75/1.66 % (3224)------------------------------
% 1.75/1.66 % (3224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.66 % (3224)Termination reason: Unknown
% 1.75/1.66 % (3224)Termination phase: Saturation
% 1.75/1.66
% 1.75/1.66 % (3224)Memory used [KB]: 5884
% 1.75/1.66 % (3224)Time elapsed: 0.072 s
% 1.75/1.66 % (3224)Instructions burned: 100 (million)
% 1.75/1.66 % (3224)------------------------------
% 1.75/1.66 % (3224)------------------------------
% 1.75/1.67 % (3225)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_3093 for (2997ds/3Mi)
% 1.75/1.67 % (3225)Instruction limit reached!
% 1.75/1.67 % (3225)------------------------------
% 1.75/1.67 % (3225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.68 % (3225)Termination reason: Unknown
% 1.75/1.68 % (3225)Termination phase: Property scanning
% 1.75/1.68
% 1.75/1.68 % (3225)Memory used [KB]: 1023
% 1.75/1.68 % (3225)Time elapsed: 0.004 s
% 1.75/1.68 % (3225)Instructions burned: 4 (million)
% 1.75/1.68 % (3225)------------------------------
% 1.75/1.68 % (3225)------------------------------
% 1.75/1.68 % (3226)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_3093 for (2997ds/20Mi)
% 1.75/1.69 % (3226)Instruction limit reached!
% 1.75/1.69 % (3226)------------------------------
% 1.75/1.69 % (3226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.69 % (3226)Termination reason: Unknown
% 1.75/1.69 % (3226)Termination phase: Saturation
% 1.75/1.69
% 1.75/1.69 % (3226)Memory used [KB]: 5756
% 1.75/1.69 % (3226)Time elapsed: 0.012 s
% 1.75/1.69 % (3226)Instructions burned: 20 (million)
% 1.75/1.69 % (3226)------------------------------
% 1.75/1.69 % (3226)------------------------------
% 1.75/1.69 % (3227)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_3093 for (2997ds/86Mi)
% 1.75/1.70 % (3216)Instruction limit reached!
% 1.75/1.70 % (3216)------------------------------
% 1.75/1.70 % (3216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.70 % (3216)Termination reason: Unknown
% 1.75/1.70 % (3216)Termination phase: Saturation
% 1.75/1.70
% 1.75/1.70 % (3216)Memory used [KB]: 6524
% 1.75/1.70 % (3216)Time elapsed: 0.179 s
% 1.75/1.70 % (3216)Instructions burned: 377 (million)
% 1.75/1.70 % (3216)------------------------------
% 1.75/1.70 % (3216)------------------------------
% 1.75/1.71 % (3228)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_3093 for (2997ds/107Mi)
% 1.75/1.72 % (3229)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_3093 for (2996ds/39Mi)
% 1.75/1.74 % (3227)Instruction limit reached!
% 1.75/1.74 % (3227)------------------------------
% 1.75/1.74 % (3227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.74 % (3227)Termination reason: Unknown
% 1.75/1.74 % (3227)Termination phase: Saturation
% 1.75/1.74
% 1.75/1.74 % (3227)Memory used [KB]: 6012
% 1.75/1.74 % (3227)Time elapsed: 0.071 s
% 1.75/1.74 % (3227)Instructions burned: 86 (million)
% 1.75/1.74 % (3227)------------------------------
% 1.75/1.74 % (3227)------------------------------
% 1.75/1.74 % (3229)Instruction limit reached!
% 1.75/1.74 % (3229)------------------------------
% 1.75/1.74 % (3229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.74 % (3229)Termination reason: Unknown
% 1.75/1.74 % (3229)Termination phase: Saturation
% 1.75/1.74
% 1.75/1.74 % (3229)Memory used [KB]: 5628
% 1.75/1.74 % (3229)Time elapsed: 0.021 s
% 1.75/1.74 % (3229)Instructions burned: 40 (million)
% 1.75/1.74 % (3229)------------------------------
% 1.75/1.74 % (3229)------------------------------
% 1.75/1.75 % (3230)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_3093 for (2996ds/448Mi)
% 1.75/1.76 % (3231)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_3093 for (2996ds/46Mi)
% 1.75/1.76 % (3228)Instruction limit reached!
% 1.75/1.76 % (3228)------------------------------
% 1.75/1.76 % (3228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.76 % (3228)Termination reason: Unknown
% 1.75/1.76 % (3228)Termination phase: Saturation
% 1.75/1.76
% 1.75/1.76 % (3228)Memory used [KB]: 6012
% 1.75/1.76 % (3228)Time elapsed: 0.055 s
% 1.75/1.76 % (3228)Instructions burned: 108 (million)
% 1.75/1.76 % (3228)------------------------------
% 1.75/1.76 % (3228)------------------------------
% 1.75/1.78 % (3232)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_3093 for (2996ds/98Mi)
% 1.75/1.78 % (3231)Instruction limit reached!
% 1.75/1.78 % (3231)------------------------------
% 1.75/1.78 % (3231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.78 % (3231)Termination reason: Unknown
% 1.75/1.78 % (3231)Termination phase: Saturation
% 1.75/1.78
% 1.75/1.78 % (3231)Memory used [KB]: 5884
% 1.75/1.78 % (3231)Time elapsed: 0.026 s
% 1.75/1.78 % (3231)Instructions burned: 46 (million)
% 1.75/1.78 % (3231)------------------------------
% 1.75/1.78 % (3231)------------------------------
% 1.75/1.80 % (3233)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_3093 for (2996ds/507Mi)
% 1.75/1.82 % (3210)Refutation not found, non-redundant clauses discarded% (3210)------------------------------
% 1.75/1.82 % (3210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.82 % (3210)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.75/1.82
% 1.75/1.82 % (3210)Memory used [KB]: 7036
% 1.75/1.82 % (3210)Time elapsed: 0.325 s
% 1.75/1.82 % (3210)Instructions burned: 665 (million)
% 1.75/1.82 % (3210)------------------------------
% 1.75/1.82 % (3210)------------------------------
% 1.75/1.82 % (3232)Instruction limit reached!
% 1.75/1.82 % (3232)------------------------------
% 1.75/1.82 % (3232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.82 % (3232)Termination reason: Unknown
% 1.75/1.82 % (3232)Termination phase: Saturation
% 1.75/1.82
% 1.75/1.82 % (3232)Memory used [KB]: 1407
% 1.75/1.82 % (3232)Time elapsed: 0.050 s
% 1.75/1.82 % (3232)Instructions burned: 98 (million)
% 1.75/1.82 % (3232)------------------------------
% 1.75/1.82 % (3232)------------------------------
% 1.75/1.84 % (3234)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_3093 for (2995ds/149Mi)
% 1.75/1.84 % (3235)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_3093 for (2995ds/39Mi)
% 1.75/1.86 % (3235)Instruction limit reached!
% 1.75/1.86 % (3235)------------------------------
% 1.75/1.86 % (3235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.86 % (3235)Termination reason: Unknown
% 1.75/1.86 % (3235)Termination phase: Saturation
% 1.75/1.86
% 1.75/1.86 % (3235)Memory used [KB]: 5628
% 1.75/1.86 % (3235)Time elapsed: 0.021 s
% 1.75/1.86 % (3235)Instructions burned: 39 (million)
% 1.75/1.86 % (3235)------------------------------
% 1.75/1.86 % (3235)------------------------------
% 1.75/1.88 % (3236)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_3093 for (2995ds/6Mi)
% 1.75/1.88 % (3236)Instruction limit reached!
% 1.75/1.88 % (3236)------------------------------
% 1.75/1.88 % (3236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.88 % (3236)Termination reason: Unknown
% 1.75/1.88 % (3236)Termination phase: Saturation
% 1.75/1.88
% 1.75/1.88 % (3236)Memory used [KB]: 9978
% 1.75/1.88 % (3236)Time elapsed: 0.006 s
% 1.75/1.88 % (3236)Instructions burned: 7 (million)
% 1.75/1.88 % (3236)------------------------------
% 1.75/1.88 % (3236)------------------------------
% 1.75/1.90 % (3237)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_3093 for (2995ds/1087Mi)
% 1.75/1.91 % (3234)Instruction limit reached!
% 1.75/1.91 % (3234)------------------------------
% 1.75/1.91 % (3234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.91 % (3234)Termination reason: Unknown
% 1.75/1.91 % (3234)Termination phase: Saturation
% 1.75/1.91
% 1.75/1.91 % (3234)Memory used [KB]: 5884
% 1.75/1.91 % (3234)Time elapsed: 0.074 s
% 1.75/1.91 % (3234)Instructions burned: 149 (million)
% 1.75/1.91 % (3234)------------------------------
% 1.75/1.91 % (3234)------------------------------
% 1.75/1.91 % (3217)Instruction limit reached!
% 1.75/1.91 % (3217)------------------------------
% 1.75/1.91 % (3217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.91 % (3217)Termination reason: Unknown
% 1.75/1.91 % (3217)Termination phase: Saturation
% 1.75/1.91
% 1.75/1.91 % (3217)Memory used [KB]: 6652
% 1.75/1.91 % (3217)Time elapsed: 0.377 s
% 1.75/1.91 % (3217)Instructions burned: 780 (million)
% 1.75/1.91 % (3217)------------------------------
% 1.75/1.91 % (3217)------------------------------
% 1.75/1.92 % (3238)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_3093 for (2995ds/47Mi)
% 1.75/1.93 % (3239)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_3093 for (2994ds/44Mi)
% 1.75/1.94 % (3201)Instruction limit reached!
% 1.75/1.94 % (3201)------------------------------
% 1.75/1.94 % (3201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.94 % (3201)Termination reason: Unknown
% 1.75/1.94 % (3201)Termination phase: Saturation
% 1.75/1.94
% 1.75/1.94 % (3201)Memory used [KB]: 8827
% 1.75/1.94 % (3201)Time elapsed: 0.491 s
% 1.75/1.94 % (3201)Instructions burned: 1042 (million)
% 1.75/1.94 % (3201)------------------------------
% 1.75/1.94 % (3201)------------------------------
% 1.75/1.95 % (3238)Instruction limit reached!
% 1.75/1.95 % (3238)------------------------------
% 1.75/1.95 % (3238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.95 % (3238)Termination reason: Unknown
% 1.75/1.95 % (3238)Termination phase: Saturation
% 1.75/1.95
% 1.75/1.95 % (3238)Memory used [KB]: 5756
% 1.75/1.95 % (3238)Time elapsed: 0.025 s
% 1.75/1.95 % (3238)Instructions burned: 48 (million)
% 1.75/1.95 % (3238)------------------------------
% 1.75/1.95 % (3238)------------------------------
% 1.75/1.95 % (3239)Instruction limit reached!
% 1.75/1.95 % (3239)------------------------------
% 1.75/1.95 % (3239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.95 % (3239)Termination reason: Unknown
% 1.75/1.95 % (3239)Termination phase: Saturation
% 1.75/1.95
% 1.75/1.95 % (3239)Memory used [KB]: 1279
% 1.75/1.95 % (3239)Time elapsed: 0.024 s
% 1.75/1.95 % (3239)Instructions burned: 45 (million)
% 1.75/1.95 % (3239)------------------------------
% 1.75/1.95 % (3239)------------------------------
% 1.75/1.96 % (3240)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_3093 for (2994ds/432Mi)
% 1.75/1.96 % (3241)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_3093 for (2994ds/62Mi)
% 1.75/1.97 % (3230)Instruction limit reached!
% 1.75/1.97 % (3230)------------------------------
% 1.75/1.97 % (3230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.97 % (3230)Termination reason: Unknown
% 1.75/1.97 % (3230)Termination phase: Saturation
% 1.75/1.97
% 1.75/1.97 % (3230)Memory used [KB]: 6396
% 1.75/1.97 % (3230)Time elapsed: 0.215 s
% 1.75/1.97 % (3230)Instructions burned: 450 (million)
% 1.75/1.97 % (3230)------------------------------
% 1.75/1.97 % (3230)------------------------------
% 1.75/1.97 % (3242)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_3093 for (2994ds/31Mi)
% 1.75/1.97 % (3219)Instruction limit reached!
% 1.75/1.97 % (3219)------------------------------
% 1.75/1.97 % (3219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.97 % (3219)Termination reason: Unknown
% 1.75/1.97 % (3219)Termination phase: Saturation
% 1.75/1.97
% 1.75/1.97 % (3219)Memory used [KB]: 7036
% 1.75/1.97 % (3219)Time elapsed: 0.429 s
% 1.75/1.97 % (3219)Instructions burned: 880 (million)
% 1.75/1.97 % (3219)------------------------------
% 1.75/1.97 % (3219)------------------------------
% 1.75/1.98 % (3243)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_3093 for (2994ds/96Mi)
% 1.75/1.98 % (3242)Instruction limit reached!
% 1.75/1.98 % (3242)------------------------------
% 1.75/1.98 % (3242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.98 % (3242)Termination reason: Unknown
% 1.75/1.98 % (3242)Termination phase: Saturation
% 1.75/1.98
% 1.75/1.98 % (3242)Memory used [KB]: 5628
% 1.75/1.98 % (3242)Time elapsed: 0.018 s
% 1.75/1.98 % (3242)Instructions burned: 32 (million)
% 1.75/1.98 % (3242)------------------------------
% 1.75/1.98 % (3242)------------------------------
% 1.75/1.99 % (3244)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_3093 for (2994ds/453Mi)
% 1.75/1.99 % (3241)Instruction limit reached!
% 1.75/1.99 % (3241)------------------------------
% 1.75/1.99 % (3241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.75/1.99 % (3241)Termination reason: Unknown
% 1.75/1.99 % (3241)Termination phase: Saturation
% 1.75/1.99
% 1.75/1.99 % (3241)Memory used [KB]: 5756
% 1.75/1.99 % (3241)Time elapsed: 0.032 s
% 1.75/1.99 % (3241)Instructions burned: 62 (million)
% 1.75/1.99 % (3241)------------------------------
% 1.75/1.99 % (3241)------------------------------
% 1.75/2.00 % (3245)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_3093 for (2994ds/71Mi)
% 1.75/2.01 % (3246)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_3093 for (2994ds/83Mi)
% 6.00/2.03 % (3243)Instruction limit reached!
% 6.00/2.03 % (3243)------------------------------
% 6.00/2.03 % (3243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.03 % (3243)Termination reason: Unknown
% 6.00/2.03 % (3243)Termination phase: Saturation
% 6.00/2.03
% 6.00/2.03 % (3243)Memory used [KB]: 5756
% 6.00/2.03 % (3243)Time elapsed: 0.050 s
% 6.00/2.03 % (3243)Instructions burned: 97 (million)
% 6.00/2.03 % (3243)------------------------------
% 6.00/2.03 % (3243)------------------------------
% 6.00/2.04 % (3245)Instruction limit reached!
% 6.00/2.04 % (3245)------------------------------
% 6.00/2.04 % (3245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.04 % (3245)Termination reason: Unknown
% 6.00/2.04 % (3245)Termination phase: Saturation
% 6.00/2.04
% 6.00/2.04 % (3245)Memory used [KB]: 5756
% 6.00/2.04 % (3245)Time elapsed: 0.036 s
% 6.00/2.04 % (3245)Instructions burned: 71 (million)
% 6.00/2.04 % (3245)------------------------------
% 6.00/2.04 % (3245)------------------------------
% 6.00/2.05 % (3247)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_3093 for (2993ds/11Mi)
% 6.00/2.05 % (3233)Instruction limit reached!
% 6.00/2.05 % (3233)------------------------------
% 6.00/2.05 % (3233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.05 % (3233)Termination reason: Unknown
% 6.00/2.05 % (3233)Termination phase: Saturation
% 6.00/2.05
% 6.00/2.05 % (3233)Memory used [KB]: 6268
% 6.00/2.05 % (3233)Time elapsed: 0.254 s
% 6.00/2.05 % (3233)Instructions burned: 508 (million)
% 6.00/2.05 % (3233)------------------------------
% 6.00/2.05 % (3233)------------------------------
% 6.00/2.05 % (3246)Instruction limit reached!
% 6.00/2.05 % (3246)------------------------------
% 6.00/2.05 % (3246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.05 % (3246)Termination reason: Unknown
% 6.00/2.05 % (3246)Termination phase: Saturation
% 6.00/2.05
% 6.00/2.05 % (3246)Memory used [KB]: 5756
% 6.00/2.05 % (3246)Time elapsed: 0.042 s
% 6.00/2.05 % (3246)Instructions burned: 84 (million)
% 6.00/2.05 % (3246)------------------------------
% 6.00/2.05 % (3246)------------------------------
% 6.00/2.05 % (3248)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_3093 for (2993ds/41Mi)
% 6.00/2.05 % (3247)Instruction limit reached!
% 6.00/2.05 % (3247)------------------------------
% 6.00/2.05 % (3247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.05 % (3247)Termination reason: Unknown
% 6.00/2.05 % (3247)Termination phase: Saturation
% 6.00/2.05
% 6.00/2.05 % (3247)Memory used [KB]: 5500
% 6.00/2.05 % (3247)Time elapsed: 0.007 s
% 6.00/2.05 % (3247)Instructions burned: 11 (million)
% 6.00/2.05 % (3247)------------------------------
% 6.00/2.05 % (3247)------------------------------
% 6.00/2.07 % (3249)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_3093 for (2993ds/6Mi)
% 6.00/2.07 % (3250)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_3093 for (2993ds/150Mi)
% 6.00/2.07 % (3251)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_3093 for (2993ds/343Mi)
% 6.00/2.07 % (3249)Instruction limit reached!
% 6.00/2.07 % (3249)------------------------------
% 6.00/2.07 % (3249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.07 % (3249)Termination reason: Unknown
% 6.00/2.07 % (3249)Termination phase: Saturation
% 6.00/2.07
% 6.00/2.07 % (3249)Memory used [KB]: 5500
% 6.00/2.07 % (3249)Time elapsed: 0.005 s
% 6.00/2.07 % (3249)Instructions burned: 7 (million)
% 6.00/2.07 % (3249)------------------------------
% 6.00/2.07 % (3249)------------------------------
% 6.00/2.07 % (3248)Instruction limit reached!
% 6.00/2.07 % (3248)------------------------------
% 6.00/2.07 % (3248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.00/2.07 % (3248)Termination reason: Unknown
% 6.00/2.07 % (3248)Termination phase: Saturation
% 6.00/2.07
% 6.00/2.07 % (3248)Memory used [KB]: 5628
% 6.00/2.07 % (3248)Time elapsed: 0.020 s
% 6.00/2.07 % (3248)Instructions burned: 41 (million)
% 6.00/2.07 % (3248)------------------------------
% 6.00/2.07 % (3248)------------------------------
% 6.00/2.08 % (3252)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_3093 for (2993ds/109Mi)
% 6.00/2.09 % (3253)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_3093 for (2993ds/253Mi)
% 6.50/2.14 % (3250)Instruction limit reached!
% 6.50/2.14 % (3250)------------------------------
% 6.50/2.14 % (3250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.14 % (3250)Termination reason: Unknown
% 6.50/2.14 % (3250)Termination phase: Saturation
% 6.50/2.14
% 6.50/2.14 % (3250)Memory used [KB]: 5884
% 6.50/2.14 % (3250)Time elapsed: 0.074 s
% 6.50/2.14 % (3250)Instructions burned: 150 (million)
% 6.50/2.14 % (3250)------------------------------
% 6.50/2.14 % (3250)------------------------------
% 6.50/2.14 % (3252)Instruction limit reached!
% 6.50/2.14 % (3252)------------------------------
% 6.50/2.14 % (3252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.14 % (3252)Termination reason: Unknown
% 6.50/2.14 % (3252)Termination phase: Saturation
% 6.50/2.14
% 6.50/2.14 % (3252)Memory used [KB]: 5884
% 6.50/2.14 % (3252)Time elapsed: 0.057 s
% 6.50/2.14 % (3252)Instructions burned: 110 (million)
% 6.50/2.14 % (3252)------------------------------
% 6.50/2.14 % (3252)------------------------------
% 6.50/2.15 % (3240)Instruction limit reached!
% 6.50/2.15 % (3240)------------------------------
% 6.50/2.15 % (3240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.15 % (3240)Termination reason: Unknown
% 6.50/2.15 % (3240)Termination phase: Saturation
% 6.50/2.15
% 6.50/2.15 % (3240)Memory used [KB]: 2174
% 6.50/2.15 % (3240)Time elapsed: 0.197 s
% 6.50/2.15 % (3240)Instructions burned: 433 (million)
% 6.50/2.15 % (3240)------------------------------
% 6.50/2.15 % (3240)------------------------------
% 6.50/2.16 % (3254)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_3093 for (2992ds/140Mi)
% 6.50/2.16 % (3255)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_3093 for (2992ds/614Mi)
% 6.50/2.16 % (3254)Refutation not found, incomplete strategy
% 6.50/2.16 % (3254)------------------------------
% 6.50/2.16 % (3254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.16 % (3254)Termination reason: Refutation not found, incomplete strategy
% 6.50/2.16
% 6.50/2.16
% 6.50/2.16 % (3254)Memory used [KB]: 5500
% 6.50/2.16 % (3254)Time elapsed: 0.006 s
% 6.50/2.16 % (3254)Instructions burned: 8 (million)
% 6.50/2.16 % (3254)------------------------------
% 6.50/2.16 % (3254)------------------------------
% 6.50/2.17 % (3256)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_3093 for (2992ds/202Mi)
% 6.50/2.18 % (3258)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_3093 for (2992ds/339Mi)
% 6.85/2.21 % (3244)Instruction limit reached!
% 6.85/2.21 % (3244)------------------------------
% 6.85/2.21 % (3244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.85/2.21 % (3244)Termination reason: Unknown
% 6.85/2.21 % (3244)Termination phase: Saturation
% 6.85/2.21
% 6.85/2.21 % (3244)Memory used [KB]: 6396
% 6.85/2.21 % (3244)Time elapsed: 0.220 s
% 6.85/2.21 % (3244)Instructions burned: 454 (million)
% 6.85/2.21 % (3244)------------------------------
% 6.85/2.21 % (3244)------------------------------
% 6.85/2.21 % (3253)Instruction limit reached!
% 6.85/2.21 % (3253)------------------------------
% 6.85/2.21 % (3253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.85/2.21 % (3253)Termination reason: Unknown
% 6.85/2.21 % (3253)Termination phase: Saturation
% 6.85/2.21
% 6.85/2.21 % (3253)Memory used [KB]: 6268
% 6.85/2.21 % (3253)Time elapsed: 0.125 s
% 6.85/2.21 % (3253)Instructions burned: 253 (million)
% 6.85/2.21 % (3253)------------------------------
% 6.85/2.21 % (3253)------------------------------
% 6.85/2.22 % (3259)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_3093 for (2992ds/283Mi)
% 6.85/2.23 % (3260)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_3093 for (2992ds/134Mi)
% 6.85/2.23 % (3251)Instruction limit reached!
% 6.85/2.23 % (3251)------------------------------
% 6.85/2.23 % (3251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.85/2.23 % (3251)Termination reason: Unknown
% 6.85/2.23 % (3251)Termination phase: Saturation
% 6.85/2.23
% 6.85/2.23 % (3251)Memory used [KB]: 6652
% 6.85/2.23 % (3251)Time elapsed: 0.164 s
% 6.85/2.23 % (3251)Instructions burned: 344 (million)
% 6.85/2.23 % (3251)------------------------------
% 6.85/2.23 % (3251)------------------------------
% 6.85/2.25 % (3261)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_3093 for (2991ds/298Mi)
% 6.85/2.27 % (3256)Instruction limit reached!
% 6.85/2.27 % (3256)------------------------------
% 6.85/2.27 % (3256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.85/2.27 % (3256)Termination reason: Unknown
% 6.85/2.27 % (3256)Termination phase: Saturation
% 6.85/2.27
% 6.85/2.27 % (3256)Memory used [KB]: 6268
% 6.85/2.27 % (3256)Time elapsed: 0.103 s
% 6.85/2.27 % (3256)Instructions burned: 203 (million)
% 6.85/2.27 % (3256)------------------------------
% 6.85/2.27 % (3256)------------------------------
% 6.85/2.29 % (3262)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_3093 for (2991ds/192Mi)
% 6.85/2.29 % (3260)Instruction limit reached!
% 6.85/2.29 % (3260)------------------------------
% 6.85/2.29 % (3260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.85/2.29 % (3260)Termination reason: Unknown
% 6.85/2.29 % (3260)Termination phase: Saturation
% 6.85/2.29
% 6.85/2.29 % (3260)Memory used [KB]: 6268
% 6.85/2.29 % (3260)Time elapsed: 0.088 s
% 6.85/2.29 % (3260)Instructions burned: 134 (million)
% 6.85/2.29 % (3260)------------------------------
% 6.85/2.29 % (3260)------------------------------
% 7.50/2.31 % (3263)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_3093 for (2991ds/258Mi)
% 7.50/2.34 % (3258)Instruction limit reached!
% 7.50/2.34 % (3258)------------------------------
% 7.50/2.34 % (3258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.34 % (3258)Termination reason: Unknown
% 7.50/2.34 % (3258)Termination phase: Saturation
% 7.50/2.34
% 7.50/2.34 % (3258)Memory used [KB]: 7291
% 7.50/2.34 % (3258)Time elapsed: 0.167 s
% 7.50/2.34 % (3258)Instructions burned: 340 (million)
% 7.50/2.34 % (3258)------------------------------
% 7.50/2.34 % (3258)------------------------------
% 7.50/2.36 % (3259)Instruction limit reached!
% 7.50/2.36 % (3259)------------------------------
% 7.50/2.36 % (3259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.36 % (3259)Termination reason: Unknown
% 7.50/2.36 % (3259)Termination phase: Saturation
% 7.50/2.36
% 7.50/2.36 % (3259)Memory used [KB]: 6396
% 7.50/2.36 % (3259)Time elapsed: 0.137 s
% 7.50/2.36 % (3259)Instructions burned: 283 (million)
% 7.50/2.36 % (3259)------------------------------
% 7.50/2.36 % (3259)------------------------------
% 7.50/2.36 % (3264)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_3093 for (2990ds/90Mi)
% 7.50/2.38 % (3265)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_3093 for (2990ds/231Mi)
% 7.50/2.38 % (3262)Instruction limit reached!
% 7.50/2.38 % (3262)------------------------------
% 7.50/2.38 % (3262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.38 % (3262)Termination reason: Unknown
% 7.50/2.38 % (3262)Termination phase: Saturation
% 7.50/2.38
% 7.50/2.38 % (3262)Memory used [KB]: 6140
% 7.50/2.38 % (3262)Time elapsed: 0.117 s
% 7.50/2.38 % (3262)Instructions burned: 192 (million)
% 7.50/2.38 % (3262)------------------------------
% 7.50/2.38 % (3262)------------------------------
% 7.50/2.39 % (3261)Instruction limit reached!
% 7.50/2.39 % (3261)------------------------------
% 7.50/2.39 % (3261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.50/2.39 % (3261)Termination reason: Unknown
% 7.50/2.39 % (3261)Termination phase: Saturation
% 7.50/2.39
% 7.50/2.39 % (3261)Memory used [KB]: 6140
% 7.50/2.39 % (3261)Time elapsed: 0.167 s
% 7.50/2.39 % (3261)Instructions burned: 299 (million)
% 7.50/2.39 % (3261)------------------------------
% 7.50/2.39 % (3261)------------------------------
% 8.18/2.40 % (3266)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_3093 for (2990ds/458Mi)
% 8.18/2.40 % (3264)Instruction limit reached!
% 8.18/2.40 % (3264)------------------------------
% 8.18/2.40 % (3264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.18/2.40 % (3264)Termination reason: Unknown
% 8.18/2.40 % (3264)Termination phase: Saturation
% 8.18/2.40
% 8.18/2.40 % (3264)Memory used [KB]: 6012
% 8.18/2.40 % (3264)Time elapsed: 0.068 s
% 8.18/2.40 % (3264)Instructions burned: 91 (million)
% 8.18/2.40 % (3264)------------------------------
% 8.18/2.40 % (3264)------------------------------
% 8.18/2.41 % (3267)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_3093 for (2990ds/31Mi)
% 8.18/2.42 % (3237)Instruction limit reached!
% 8.18/2.42 % (3237)------------------------------
% 8.18/2.42 % (3237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.18/2.42 % (3237)Termination reason: Unknown
% 8.18/2.42 % (3237)Termination phase: Saturation
% 8.18/2.42
% 8.18/2.42 % (3237)Memory used [KB]: 7675
% 8.18/2.42 % (3237)Time elapsed: 0.519 s
% 8.18/2.42 % (3237)Instructions burned: 1087 (million)
% 8.18/2.42 % (3237)------------------------------
% 8.18/2.42 % (3237)------------------------------
% 8.18/2.42 % (3268)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_3093 for (2989ds/297Mi)
% 8.18/2.42 % (3267)Instruction limit reached!
% 8.18/2.42 % (3267)------------------------------
% 8.18/2.42 % (3267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.18/2.42 % (3267)Termination reason: Unknown
% 8.18/2.42 % (3267)Termination phase: Saturation
% 8.18/2.42
% 8.18/2.42 % (3267)Memory used [KB]: 5628
% 8.18/2.42 % (3267)Time elapsed: 0.018 s
% 8.18/2.42 % (3267)Instructions burned: 31 (million)
% 8.18/2.42 % (3267)------------------------------
% 8.18/2.42 % (3267)------------------------------
% 8.18/2.43 % (3269)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_3093 for (2989ds/987Mi)
% 8.18/2.43 % (3263)Instruction limit reached!
% 8.18/2.43 % (3263)------------------------------
% 8.18/2.43 % (3263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.18/2.43 % (3263)Termination reason: Unknown
% 8.18/2.43 % (3263)Termination phase: Saturation
% 8.18/2.43
% 8.18/2.43 % (3263)Memory used [KB]: 6140
% 8.18/2.43 % (3263)Time elapsed: 0.148 s
% 8.18/2.43 % (3263)Instructions burned: 259 (million)
% 8.18/2.43 % (3263)------------------------------
% 8.18/2.43 % (3263)------------------------------
% 8.18/2.44 % (3270)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_3093 for (2989ds/182Mi)
% 8.18/2.44 % (3255)Instruction limit reached!
% 8.18/2.44 % (3255)------------------------------
% 8.18/2.44 % (3255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.18/2.44 % (3255)Termination reason: Unknown
% 8.18/2.44 % (3255)Termination phase: Saturation
% 8.18/2.44
% 8.18/2.44 % (3255)Memory used [KB]: 6780
% 8.18/2.44 % (3255)Time elapsed: 0.290 s
% 8.18/2.44 % (3255)Instructions burned: 615 (million)
% 8.18/2.44 % (3255)------------------------------
% 8.18/2.44 % (3255)------------------------------
% 8.18/2.45 % (3271)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_3093 for (2989ds/182Mi)
% 8.18/2.46 % (3272)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_3093 for (2989ds/154Mi)
% 8.76/2.50 % (3265)Instruction limit reached!
% 8.76/2.50 % (3265)------------------------------
% 8.76/2.50 % (3265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.76/2.50 % (3265)Termination reason: Unknown
% 8.76/2.50 % (3265)Termination phase: Saturation
% 8.76/2.50
% 8.76/2.50 % (3265)Memory used [KB]: 6652
% 8.76/2.50 % (3265)Time elapsed: 0.127 s
% 8.76/2.50 % (3265)Instructions burned: 231 (million)
% 8.76/2.50 % (3265)------------------------------
% 8.76/2.50 % (3265)------------------------------
% 8.76/2.52 % (3273)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_3093 for (2989ds/79Mi)
% 8.76/2.53 % (3270)Instruction limit reached!
% 8.76/2.53 % (3270)------------------------------
% 8.76/2.53 % (3270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.76/2.53 % (3270)Termination reason: Unknown
% 8.76/2.53 % (3270)Termination phase: Saturation
% 8.76/2.53
% 8.76/2.53 % (3270)Memory used [KB]: 6012
% 8.76/2.53 % (3270)Time elapsed: 0.091 s
% 8.76/2.53 % (3270)Instructions burned: 182 (million)
% 8.76/2.53 % (3270)------------------------------
% 8.76/2.53 % (3270)------------------------------
% 8.76/2.53 % (3272)Instruction limit reached!
% 8.76/2.53 % (3272)------------------------------
% 8.76/2.53 % (3272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.76/2.53 % (3272)Termination reason: Unknown
% 8.76/2.53 % (3272)Termination phase: Saturation
% 8.76/2.53
% 8.76/2.53 % (3272)Memory used [KB]: 6012
% 8.76/2.53 % (3272)Time elapsed: 0.076 s
% 8.76/2.53 % (3272)Instructions burned: 155 (million)
% 8.76/2.53 % (3272)------------------------------
% 8.76/2.53 % (3272)------------------------------
% 8.76/2.54 % (3271)Instruction limit reached!
% 8.76/2.54 % (3271)------------------------------
% 8.76/2.54 % (3271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.76/2.54 % (3271)Termination reason: Unknown
% 8.76/2.54 % (3271)Termination phase: Saturation
% 8.76/2.54
% 8.76/2.54 % (3271)Memory used [KB]: 6268
% 8.76/2.54 % (3271)Time elapsed: 0.092 s
% 8.76/2.54 % (3271)Instructions burned: 182 (million)
% 8.76/2.54 % (3271)------------------------------
% 8.76/2.54 % (3271)------------------------------
% 8.76/2.55 % (3274)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_3093 for (2988ds/216Mi)
% 8.76/2.55 % (3275)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_3093 for (2988ds/114Mi)
% 8.76/2.56 % (3273)Instruction limit reached!
% 8.76/2.56 % (3273)------------------------------
% 8.76/2.56 % (3273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.76/2.56 % (3273)Termination reason: Unknown
% 8.76/2.56 % (3273)Termination phase: Saturation
% 8.76/2.56
% 8.76/2.56 % (3273)Memory used [KB]: 5756
% 8.76/2.56 % (3273)Time elapsed: 0.039 s
% 8.76/2.56 % (3273)Instructions burned: 79 (million)
% 8.76/2.56 % (3273)------------------------------
% 8.76/2.56 % (3273)------------------------------
% 8.76/2.56 % (3276)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_3093 for (2988ds/922Mi)
% 8.76/2.56 % (3268)Instruction limit reached!
% 8.76/2.56 % (3268)------------------------------
% 8.76/2.56 % (3268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.76/2.56 % (3268)Termination reason: Unknown
% 8.76/2.56 % (3268)Termination phase: Saturation
% 8.76/2.56
% 8.76/2.56 % (3268)Memory used [KB]: 6140
% 8.76/2.56 % (3268)Time elapsed: 0.137 s
% 8.76/2.56 % (3268)Instructions burned: 297 (million)
% 8.76/2.56 % (3268)------------------------------
% 8.76/2.56 % (3268)------------------------------
% 8.76/2.57 % (3278)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_3093 for (2988ds/164Mi)
% 8.76/2.57 % (3277)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_3093 for (2988ds/182Mi)
% 9.42/2.61 % (3275)Instruction limit reached!
% 9.42/2.61 % (3275)------------------------------
% 9.42/2.61 % (3275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.61 % (3275)Termination reason: Unknown
% 9.42/2.61 % (3275)Termination phase: Saturation
% 9.42/2.61
% 9.42/2.61 % (3275)Memory used [KB]: 5884
% 9.42/2.61 % (3275)Time elapsed: 0.058 s
% 9.42/2.61 % (3275)Instructions burned: 115 (million)
% 9.42/2.61 % (3275)------------------------------
% 9.42/2.61 % (3275)------------------------------
% 9.42/2.62 % (3266)Instruction limit reached!
% 9.42/2.62 % (3266)------------------------------
% 9.42/2.62 % (3266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.62 % (3266)Termination reason: Unknown
% 9.42/2.62 % (3266)Termination phase: Saturation
% 9.42/2.62
% 9.42/2.62 % (3266)Memory used [KB]: 6652
% 9.42/2.62 % (3266)Time elapsed: 0.224 s
% 9.42/2.62 % (3266)Instructions burned: 459 (million)
% 9.42/2.62 % (3266)------------------------------
% 9.42/2.62 % (3266)------------------------------
% 9.42/2.62 % (3279)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_3093 for (2988ds/50Mi)
% 9.42/2.64 % (3280)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_3093 for (2987ds/368Mi)
% 9.42/2.64 % (3274)Instruction limit reached!
% 9.42/2.64 % (3274)------------------------------
% 9.42/2.64 % (3274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.64 % (3274)Termination reason: Unknown
% 9.42/2.64 % (3274)Termination phase: Saturation
% 9.42/2.64
% 9.42/2.64 % (3274)Memory used [KB]: 5884
% 9.42/2.64 % (3274)Time elapsed: 0.100 s
% 9.42/2.64 % (3274)Instructions burned: 217 (million)
% 9.42/2.64 % (3274)------------------------------
% 9.42/2.64 % (3274)------------------------------
% 9.42/2.65 % (3279)Instruction limit reached!
% 9.42/2.65 % (3279)------------------------------
% 9.42/2.65 % (3279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.65 % (3279)Termination reason: Unknown
% 9.42/2.65 % (3279)Termination phase: Saturation
% 9.42/2.65
% 9.42/2.65 % (3279)Memory used [KB]: 10234
% 9.42/2.65 % (3279)Time elapsed: 0.027 s
% 9.42/2.65 % (3279)Instructions burned: 50 (million)
% 9.42/2.65 % (3279)------------------------------
% 9.42/2.65 % (3279)------------------------------
% 9.42/2.65 % (3278)Instruction limit reached!
% 9.42/2.65 % (3278)------------------------------
% 9.42/2.65 % (3278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.65 % (3278)Termination reason: Unknown
% 9.42/2.65 % (3278)Termination phase: Saturation
% 9.42/2.65
% 9.42/2.65 % (3278)Memory used [KB]: 1535
% 9.42/2.65 % (3278)Time elapsed: 0.080 s
% 9.42/2.65 % (3278)Instructions burned: 164 (million)
% 9.42/2.65 % (3278)------------------------------
% 9.42/2.65 % (3278)------------------------------
% 9.42/2.65 % (3277)Refutation not found, non-redundant clauses discarded% (3277)------------------------------
% 9.42/2.65 % (3277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.65 % (3277)Termination reason: Refutation not found, non-redundant clauses discarded
% 9.42/2.65
% 9.42/2.65 % (3277)Memory used [KB]: 5884
% 9.42/2.65 % (3277)Time elapsed: 0.084 s
% 9.42/2.65 % (3277)Instructions burned: 180 (million)
% 9.42/2.65 % (3277)------------------------------
% 9.42/2.65 % (3277)------------------------------
% 9.42/2.66 % (3281)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_3093 for (2987ds/1021Mi)
% 9.42/2.67 % (3282)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_3093 for (2987ds/267Mi)
% 9.42/2.67 % (3283)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_3093 for (2987ds/204Mi)
% 9.42/2.67 % (3284)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_3093 for (2987ds/26Mi)
% 9.42/2.68 % (3284)Instruction limit reached!
% 9.42/2.68 % (3284)------------------------------
% 9.42/2.68 % (3284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.42/2.68 % (3284)Termination reason: Unknown
% 9.42/2.68 % (3284)Termination phase: Saturation
% 9.42/2.68
% 9.42/2.68 % (3284)Memory used [KB]: 5628
% 9.42/2.68 % (3284)Time elapsed: 0.015 s
% 9.42/2.68 % (3284)Instructions burned: 26 (million)
% 9.42/2.68 % (3284)------------------------------
% 9.42/2.68 % (3284)------------------------------
% 10.11/2.70 % (3285)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_3093 for (2987ds/53Mi)
% 10.11/2.73 % (3285)Instruction limit reached!
% 10.11/2.73 % (3285)------------------------------
% 10.11/2.73 % (3285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.11/2.73 % (3285)Termination reason: Unknown
% 10.11/2.73 % (3285)Termination phase: Saturation
% 10.11/2.73
% 10.11/2.73 % (3285)Memory used [KB]: 5628
% 10.11/2.73 % (3285)Time elapsed: 0.025 s
% 10.11/2.73 % (3285)Instructions burned: 54 (million)
% 10.11/2.73 % (3285)------------------------------
% 10.11/2.73 % (3285)------------------------------
% 10.11/2.74 % (3286)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_3093 for (2986ds/4436Mi)
% 10.11/2.77 % (3283)Instruction limit reached!
% 10.11/2.77 % (3283)------------------------------
% 10.11/2.77 % (3283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.11/2.77 % (3283)Termination reason: Unknown
% 10.11/2.77 % (3283)Termination phase: Saturation
% 10.11/2.77
% 10.11/2.77 % (3283)Memory used [KB]: 6140
% 10.11/2.77 % (3283)Time elapsed: 0.102 s
% 10.11/2.77 % (3283)Instructions burned: 205 (million)
% 10.11/2.77 % (3283)------------------------------
% 10.11/2.77 % (3283)------------------------------
% 10.11/2.78 % (3287)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_3093 for (2986ds/1539Mi)
% 10.11/2.79 % (3282)Instruction limit reached!
% 10.11/2.79 % (3282)------------------------------
% 10.11/2.79 % (3282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.11/2.79 % (3282)Termination reason: Unknown
% 10.11/2.79 % (3282)Termination phase: Saturation
% 10.11/2.79
% 10.11/2.79 % (3282)Memory used [KB]: 6268
% 10.11/2.79 % (3282)Time elapsed: 0.130 s
% 10.11/2.79 % (3282)Instructions burned: 267 (million)
% 10.11/2.79 % (3282)------------------------------
% 10.11/2.79 % (3282)------------------------------
% 10.41/2.81 % (3288)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_3093 for (2986ds/408Mi)
% 10.41/2.81 % (3280)Instruction limit reached!
% 10.41/2.81 % (3280)------------------------------
% 10.41/2.81 % (3280)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.41/2.81 % (3280)Termination reason: Unknown
% 10.41/2.81 % (3280)Termination phase: Saturation
% 10.41/2.81
% 10.41/2.81 % (3280)Memory used [KB]: 6524
% 10.41/2.81 % (3280)Time elapsed: 0.178 s
% 10.41/2.81 % (3280)Instructions burned: 368 (million)
% 10.41/2.81 % (3280)------------------------------
% 10.41/2.81 % (3280)------------------------------
% 10.41/2.81 % (3288)Refutation not found, incomplete strategy
% 10.41/2.81 % (3288)------------------------------
% 10.41/2.81 % (3288)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.41/2.81 % (3288)Termination reason: Refutation not found, incomplete strategy
% 10.41/2.81
% 10.41/2.81
% 10.41/2.81 % (3288)Memory used [KB]: 5500
% 10.41/2.81 % (3288)Time elapsed: 0.006 s
% 10.41/2.81 % (3288)Instructions burned: 8 (million)
% 10.41/2.81 % (3288)------------------------------
% 10.41/2.81 % (3288)------------------------------
% 10.41/2.83 % (3289)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_3093 for (2986ds/5205Mi)
% 10.41/2.83 % (3290)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_3093 for (2985ds/1913Mi)
% 10.41/2.90 % (3269)Instruction limit reached!
% 10.41/2.90 % (3269)------------------------------
% 10.41/2.90 % (3269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.41/2.90 % (3269)Termination reason: Unknown
% 10.41/2.90 % (3269)Termination phase: Saturation
% 10.41/2.90
% 10.41/2.90 % (3269)Memory used [KB]: 7675
% 10.41/2.90 % (3269)Time elapsed: 0.466 s
% 10.41/2.90 % (3269)Instructions burned: 988 (million)
% 10.41/2.90 % (3269)------------------------------
% 10.41/2.90 % (3269)------------------------------
% 10.62/2.91 % (3291)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_3093 for (2985ds/4350Mi)
% 10.62/3.00 % (3276)Instruction limit reached!
% 10.62/3.00 % (3276)------------------------------
% 10.62/3.00 % (3276)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.62/3.00 % (3276)Termination reason: Unknown
% 10.62/3.00 % (3276)Termination phase: Saturation
% 10.62/3.00
% 10.62/3.00 % (3276)Memory used [KB]: 7419
% 10.62/3.00 % (3276)Time elapsed: 0.442 s
% 10.62/3.00 % (3276)Instructions burned: 923 (million)
% 10.62/3.00 % (3276)------------------------------
% 10.62/3.00 % (3276)------------------------------
% 10.62/3.01 % (3292)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_3093 for (2984ds/68Mi)
% 12.99/3.05 % (3292)Instruction limit reached!
% 12.99/3.05 % (3292)------------------------------
% 12.99/3.05 % (3292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.99/3.05 % (3292)Termination reason: Unknown
% 12.99/3.05 % (3292)Termination phase: Saturation
% 12.99/3.05
% 12.99/3.05 % (3292)Memory used [KB]: 5756
% 12.99/3.05 % (3292)Time elapsed: 0.038 s
% 12.99/3.05 % (3292)Instructions burned: 69 (million)
% 12.99/3.05 % (3292)------------------------------
% 12.99/3.05 % (3292)------------------------------
% 12.99/3.07 % (3293)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_3093 for (2983ds/358Mi)
% 13.65/3.15 % (3281)Instruction limit reached!
% 13.65/3.15 % (3281)------------------------------
% 13.65/3.15 % (3281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.65/3.15 % (3281)Termination reason: Unknown
% 13.65/3.15 % (3281)Termination phase: Saturation
% 13.65/3.15
% 13.65/3.15 % (3281)Memory used [KB]: 7675
% 13.65/3.15 % (3281)Time elapsed: 0.494 s
% 13.65/3.15 % (3281)Instructions burned: 1021 (million)
% 13.65/3.15 % (3281)------------------------------
% 13.65/3.15 % (3281)------------------------------
% 13.65/3.17 % (3294)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_3093 for (2982ds/31Mi)
% 13.65/3.19 % (3294)Instruction limit reached!
% 13.65/3.19 % (3294)------------------------------
% 13.65/3.19 % (3294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.65/3.19 % (3294)Termination reason: Unknown
% 13.65/3.19 % (3294)Termination phase: Saturation
% 13.65/3.19
% 13.65/3.19 % (3294)Memory used [KB]: 5628
% 13.65/3.19 % (3294)Time elapsed: 0.018 s
% 13.65/3.19 % (3294)Instructions burned: 31 (million)
% 13.65/3.19 % (3294)------------------------------
% 13.65/3.19 % (3294)------------------------------
% 14.08/3.20 % (3295)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_3093 for (2982ds/279Mi)
% 14.08/3.24 % (3293)Instruction limit reached!
% 14.08/3.24 % (3293)------------------------------
% 14.08/3.24 % (3293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.08/3.24 % (3293)Termination reason: Unknown
% 14.08/3.24 % (3293)Termination phase: Saturation
% 14.08/3.24
% 14.08/3.24 % (3293)Memory used [KB]: 6396
% 14.08/3.24 % (3293)Time elapsed: 0.173 s
% 14.08/3.24 % (3293)Instructions burned: 359 (million)
% 14.08/3.24 % (3293)------------------------------
% 14.08/3.24 % (3293)------------------------------
% 14.08/3.26 % (3296)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_3093 for (2981ds/258Mi)
% 14.77/3.32 % (3295)Refutation not found, non-redundant clauses discarded% (3295)------------------------------
% 14.77/3.32 % (3295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.77/3.32 % (3295)Termination reason: Refutation not found, non-redundant clauses discarded
% 14.77/3.32
% 14.77/3.32 % (3295)Memory used [KB]: 6140
% 14.77/3.32 % (3295)Time elapsed: 0.120 s
% 14.77/3.32 % (3295)Instructions burned: 242 (million)
% 14.77/3.32 % (3295)------------------------------
% 14.77/3.32 % (3295)------------------------------
% 14.77/3.34 % (3297)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_3093 for (2980ds/26Mi)
% 14.77/3.35 % (3297)Instruction limit reached!
% 14.77/3.35 % (3297)------------------------------
% 14.77/3.35 % (3297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.77/3.35 % (3297)Termination reason: Unknown
% 14.77/3.35 % (3297)Termination phase: Saturation
% 14.77/3.35
% 14.77/3.35 % (3297)Memory used [KB]: 5628
% 14.77/3.35 % (3297)Time elapsed: 0.016 s
% 14.77/3.35 % (3297)Instructions burned: 26 (million)
% 14.77/3.35 % (3297)------------------------------
% 14.77/3.35 % (3297)------------------------------
% 14.77/3.37 % (3298)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_3093 for (2980ds/995Mi)
% 14.77/3.38 % (3296)Instruction limit reached!
% 14.77/3.38 % (3296)------------------------------
% 14.77/3.38 % (3296)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.77/3.38 % (3296)Termination reason: Unknown
% 14.77/3.38 % (3296)Termination phase: Saturation
% 14.77/3.38
% 14.77/3.38 % (3296)Memory used [KB]: 6524
% 14.77/3.38 % (3296)Time elapsed: 0.128 s
% 14.77/3.38 % (3296)Instructions burned: 259 (million)
% 14.77/3.38 % (3296)------------------------------
% 14.77/3.38 % (3296)------------------------------
% 15.58/3.40 % (3299)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_3093 for (2980ds/373Mi)
% 16.09/3.52 % (3287)Instruction limit reached!
% 16.09/3.52 % (3287)------------------------------
% 16.09/3.52 % (3287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.09/3.52 % (3287)Termination reason: Unknown
% 16.09/3.52 % (3287)Termination phase: Saturation
% 16.09/3.52
% 16.09/3.52 % (3287)Memory used [KB]: 9083
% 16.09/3.52 % (3287)Time elapsed: 0.738 s
% 16.09/3.52 % (3287)Instructions burned: 1539 (million)
% 16.09/3.52 % (3287)------------------------------
% 16.09/3.52 % (3287)------------------------------
% 16.09/3.54 % (3300)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_3093 for (2979ds/253Mi)
% 16.09/3.58 % (3299)Instruction limit reached!
% 16.09/3.58 % (3299)------------------------------
% 16.09/3.58 % (3299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.09/3.58 % (3299)Termination reason: Unknown
% 16.09/3.58 % (3299)Termination phase: Saturation
% 16.09/3.58
% 16.09/3.58 % (3299)Memory used [KB]: 6524
% 16.09/3.58 % (3299)Time elapsed: 0.207 s
% 16.09/3.58 % (3299)Instructions burned: 373 (million)
% 16.09/3.58 % (3299)------------------------------
% 16.09/3.58 % (3299)------------------------------
% 16.70/3.60 % (3301)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_3093 for (2978ds/832Mi)
% 16.70/3.61 % (3301)Refutation not found, incomplete strategy
% 16.70/3.61 % (3301)------------------------------
% 16.70/3.61 % (3301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.70/3.61 % (3301)Termination reason: Refutation not found, incomplete strategy
% 16.70/3.61
% 16.70/3.61
% 16.70/3.61 % (3301)Memory used [KB]: 5628
% 16.70/3.61 % (3301)Time elapsed: 0.006 s
% 16.70/3.61 % (3301)Instructions burned: 8 (million)
% 16.70/3.61 % (3301)------------------------------
% 16.70/3.61 % (3301)------------------------------
% 16.70/3.62 % (3302)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_3093 for (2978ds/668Mi)
% 16.70/3.66 % (3300)Instruction limit reached!
% 16.70/3.66 % (3300)------------------------------
% 16.70/3.66 % (3300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.70/3.66 % (3300)Termination reason: Unknown
% 16.70/3.66 % (3300)Termination phase: Saturation
% 16.70/3.66
% 16.70/3.66 % (3300)Memory used [KB]: 6140
% 16.70/3.66 % (3300)Time elapsed: 0.141 s
% 16.70/3.66 % (3300)Instructions burned: 253 (million)
% 16.70/3.66 % (3300)------------------------------
% 16.70/3.66 % (3300)------------------------------
% 16.70/3.67 % (3303)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_3093 for (2977ds/40Mi)
% 16.70/3.69 % (3303)Instruction limit reached!
% 16.70/3.69 % (3303)------------------------------
% 16.70/3.69 % (3303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.70/3.69 % (3303)Termination reason: Unknown
% 16.70/3.69 % (3303)Termination phase: Saturation
% 16.70/3.69
% 16.70/3.69 % (3303)Memory used [KB]: 5628
% 16.70/3.69 % (3303)Time elapsed: 0.044 s
% 16.70/3.69 % (3303)Instructions burned: 41 (million)
% 16.70/3.69 % (3303)------------------------------
% 16.70/3.69 % (3303)------------------------------
% 17.29/3.71 % (3304)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_3093 for (2977ds/294Mi)
% 17.29/3.73 % (3290)Instruction limit reached!
% 17.29/3.73 % (3290)------------------------------
% 17.29/3.73 % (3290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.29/3.73 % (3290)Termination reason: Unknown
% 17.29/3.73 % (3290)Termination phase: Saturation
% 17.29/3.73
% 17.29/3.73 % (3290)Memory used [KB]: 4477
% 17.29/3.73 % (3290)Time elapsed: 0.903 s
% 17.29/3.73 % (3290)Instructions burned: 1914 (million)
% 17.29/3.73 % (3290)------------------------------
% 17.29/3.73 % (3290)------------------------------
% 17.29/3.75 % (3305)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_3093 for (2976ds/187Mi)
% 17.65/3.83 % (3298)Instruction limit reached!
% 17.65/3.83 % (3298)------------------------------
% 17.65/3.83 % (3298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.65/3.83 % (3298)Termination reason: Unknown
% 17.65/3.83 % (3298)Termination phase: Saturation
% 17.65/3.83
% 17.65/3.83 % (3298)Memory used [KB]: 7547
% 17.65/3.83 % (3298)Time elapsed: 0.463 s
% 17.65/3.83 % (3298)Instructions burned: 997 (million)
% 17.65/3.83 % (3298)------------------------------
% 17.65/3.83 % (3298)------------------------------
% 17.65/3.84 % (3305)Instruction limit reached!
% 17.65/3.84 % (3305)------------------------------
% 17.65/3.84 % (3305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.65/3.84 % (3305)Termination reason: Unknown
% 17.65/3.84 % (3305)Termination phase: Saturation
% 17.65/3.84
% 17.65/3.84 % (3305)Memory used [KB]: 6012
% 17.65/3.84 % (3305)Time elapsed: 0.094 s
% 17.65/3.84 % (3305)Instructions burned: 187 (million)
% 17.65/3.84 % (3305)------------------------------
% 17.65/3.84 % (3305)------------------------------
% 17.65/3.85 % (3306)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_3093 for (2975ds/371Mi)
% 17.65/3.85 % (3304)Instruction limit reached!
% 17.65/3.85 % (3304)------------------------------
% 17.65/3.85 % (3304)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.65/3.85 % (3304)Termination reason: Unknown
% 17.65/3.85 % (3304)Termination phase: Saturation
% 17.65/3.85
% 17.65/3.85 % (3304)Memory used [KB]: 6140
% 17.65/3.85 % (3304)Time elapsed: 0.144 s
% 17.65/3.85 % (3304)Instructions burned: 295 (million)
% 17.65/3.85 % (3304)------------------------------
% 17.65/3.85 % (3304)------------------------------
% 17.65/3.86 % (3307)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_3093 for (2975ds/1827Mi)
% 17.65/3.87 % (3308)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_3093 for (2975ds/70Mi)
% 18.68/3.90 % (3308)Instruction limit reached!
% 18.68/3.90 % (3308)------------------------------
% 18.68/3.90 % (3308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.68/3.90 % (3308)Termination reason: Unknown
% 18.68/3.90 % (3308)Termination phase: Saturation
% 18.68/3.90
% 18.68/3.90 % (3308)Memory used [KB]: 1151
% 18.68/3.90 % (3308)Time elapsed: 0.035 s
% 18.68/3.90 % (3308)Instructions burned: 70 (million)
% 18.68/3.90 % (3308)------------------------------
% 18.68/3.90 % (3308)------------------------------
% 18.68/3.92 % (3309)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_3093 for (2975ds/316Mi)
% 18.68/3.92 % (3302)Instruction limit reached!
% 18.68/3.92 % (3302)------------------------------
% 18.68/3.92 % (3302)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.68/3.92 % (3302)Termination reason: Unknown
% 18.68/3.92 % (3302)Termination phase: Saturation
% 18.68/3.92
% 18.68/3.92 % (3302)Memory used [KB]: 10874
% 18.68/3.92 % (3302)Time elapsed: 0.324 s
% 18.68/3.92 % (3302)Instructions burned: 668 (million)
% 18.68/3.92 % (3302)------------------------------
% 18.68/3.92 % (3302)------------------------------
% 18.68/3.94 % (3310)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_3093 for (2974ds/932Mi)
% 18.68/4.02 % (3306)Instruction limit reached!
% 18.68/4.02 % (3306)------------------------------
% 18.68/4.02 % (3306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.68/4.02 % (3306)Termination reason: Unknown
% 18.68/4.02 % (3306)Termination phase: Saturation
% 18.68/4.02
% 18.68/4.02 % (3306)Memory used [KB]: 6652
% 18.68/4.02 % (3306)Time elapsed: 0.174 s
% 18.68/4.02 % (3306)Instructions burned: 371 (million)
% 18.68/4.02 % (3306)------------------------------
% 18.68/4.02 % (3306)------------------------------
% 19.99/4.04 % (3311)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_3093 for (2973ds/4714Mi)
% 19.99/4.05 % (3309)Instruction limit reached!
% 19.99/4.05 % (3309)------------------------------
% 19.99/4.05 % (3309)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.99/4.05 % (3309)Termination reason: Unknown
% 19.99/4.05 % (3309)Termination phase: Saturation
% 19.99/4.05
% 19.99/4.05 % (3309)Memory used [KB]: 6012
% 19.99/4.05 % (3309)Time elapsed: 0.116 s
% 19.99/4.05 % (3309)Instructions burned: 316 (million)
% 19.99/4.05 % (3309)------------------------------
% 19.99/4.05 % (3309)------------------------------
% 19.99/4.06 % (3312)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_3093 for (2973ds/8250Mi)
% 21.38/4.39 % (3310)Instruction limit reached!
% 21.38/4.39 % (3310)------------------------------
% 21.38/4.39 % (3310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.38/4.39 % (3310)Termination reason: Unknown
% 21.38/4.39 % (3310)Termination phase: Saturation
% 21.38/4.39
% 21.38/4.39 % (3310)Memory used [KB]: 8827
% 21.38/4.39 % (3310)Time elapsed: 0.452 s
% 21.38/4.39 % (3310)Instructions burned: 933 (million)
% 21.38/4.39 % (3310)------------------------------
% 21.38/4.39 % (3310)------------------------------
% 21.88/4.41 % (3313)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_3093 for (2970ds/770Mi)
% 21.88/4.42 % (3313)Refutation not found, incomplete strategy
% 21.88/4.42 % (3313)------------------------------
% 21.88/4.42 % (3313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.88/4.42 % (3313)Termination reason: Refutation not found, incomplete strategy
% 21.88/4.42
% 21.88/4.42
% 21.88/4.42 % (3313)Memory used [KB]: 5500
% 21.88/4.42 % (3313)Time elapsed: 0.009 s
% 21.88/4.42 % (3313)Instructions burned: 14 (million)
% 21.88/4.42 % (3313)------------------------------
% 21.88/4.42 % (3313)------------------------------
% 21.88/4.43 % (3314)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_3093 for (2969ds/794Mi)
% 22.71/4.69 % (3307)Instruction limit reached!
% 22.71/4.69 % (3307)------------------------------
% 22.71/4.69 % (3307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.71/4.69 % (3307)Termination reason: Unknown
% 22.71/4.69 % (3307)Termination phase: Saturation
% 22.71/4.69
% 22.71/4.69 % (3307)Memory used [KB]: 7675
% 22.71/4.69 % (3307)Time elapsed: 0.833 s
% 22.71/4.69 % (3307)Instructions burned: 1827 (million)
% 22.71/4.69 % (3307)------------------------------
% 22.71/4.69 % (3307)------------------------------
% 23.11/4.71 % (3315)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_3093 for (2967ds/464Mi)
% 23.41/4.83 % (3314)Instruction limit reached!
% 23.41/4.83 % (3314)------------------------------
% 23.41/4.83 % (3314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.41/4.83 % (3314)Termination reason: Unknown
% 23.41/4.83 % (3314)Termination phase: Saturation
% 23.41/4.83
% 23.41/4.83 % (3314)Memory used [KB]: 2558
% 23.41/4.83 % (3314)Time elapsed: 0.401 s
% 23.41/4.83 % (3314)Instructions burned: 794 (million)
% 23.41/4.83 % (3314)------------------------------
% 23.41/4.83 % (3314)------------------------------
% 23.41/4.85 % (3316)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_3093 for (2965ds/1376Mi)
% 23.41/4.87 % (3286)Instruction limit reached!
% 23.41/4.87 % (3286)------------------------------
% 23.41/4.87 % (3286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.41/4.87 % (3286)Termination reason: Unknown
% 23.41/4.87 % (3286)Termination phase: Saturation
% 23.41/4.87
% 23.41/4.87 % (3286)Memory used [KB]: 14328
% 23.41/4.87 % (3286)Time elapsed: 2.133 s
% 23.41/4.87 % (3286)Instructions burned: 4436 (million)
% 23.41/4.87 % (3286)------------------------------
% 23.41/4.87 % (3286)------------------------------
% 24.12/4.91 % (3317)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_3093 for (2965ds/906Mi)
% 24.12/4.93 % (3315)Instruction limit reached!
% 24.12/4.93 % (3315)------------------------------
% 24.12/4.93 % (3315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.12/4.93 % (3315)Termination reason: Unknown
% 24.12/4.93 % (3315)Termination phase: Saturation
% 24.12/4.93
% 24.12/4.93 % (3315)Memory used [KB]: 6652
% 24.12/4.93 % (3315)Time elapsed: 0.222 s
% 24.12/4.93 % (3315)Instructions burned: 466 (million)
% 24.12/4.93 % (3315)------------------------------
% 24.12/4.93 % (3315)------------------------------
% 24.12/4.94 % (3318)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_3093 for (2964ds/434Mi)
% 24.12/4.95 % (3318)Refutation not found, incomplete strategy
% 24.12/4.95 % (3318)------------------------------
% 24.12/4.95 % (3318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.12/4.95 % (3318)Termination reason: Refutation not found, incomplete strategy
% 24.12/4.95
% 24.12/4.95
% 24.12/4.95 % (3318)Memory used [KB]: 5628
% 24.12/4.95 % (3318)Time elapsed: 0.006 s
% 24.12/4.95 % (3318)Instructions burned: 7 (million)
% 24.12/4.95 % (3318)------------------------------
% 24.12/4.95 % (3318)------------------------------
% 24.12/4.97 % (3319)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_3093 for (2964ds/865Mi)
% 24.12/4.99 % (3291)Instruction limit reached!
% 24.12/4.99 % (3291)------------------------------
% 24.12/4.99 % (3291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.12/4.99 % (3291)Termination reason: Unknown
% 24.12/4.99 % (3291)Termination phase: Saturation
% 24.12/4.99
% 24.12/4.99 % (3291)Memory used [KB]: 11129
% 24.12/4.99 % (3291)Time elapsed: 2.074 s
% 24.12/4.99 % (3291)Instructions burned: 4350 (million)
% 24.12/4.99 % (3291)------------------------------
% 24.12/4.99 % (3291)------------------------------
% 26.81/5.02 % (3320)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_3093 for (2964ds/593Mi)
% 27.57/5.14 % (3289)Instruction limit reached!
% 27.57/5.14 % (3289)------------------------------
% 27.57/5.14 % (3289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.57/5.14 % (3289)Termination reason: Unknown
% 27.57/5.14 % (3289)Termination phase: Saturation
% 27.57/5.14
% 27.57/5.14 % (3289)Memory used [KB]: 13432
% 27.57/5.14 % (3289)Time elapsed: 2.316 s
% 27.57/5.14 % (3289)Instructions burned: 5205 (million)
% 27.57/5.14 % (3289)------------------------------
% 27.57/5.14 % (3289)------------------------------
% 27.57/5.16 % (3321)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_3093 for (2962ds/443Mi)
% 28.67/5.31 % (3320)Instruction limit reached!
% 28.67/5.31 % (3320)------------------------------
% 28.67/5.31 % (3320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.67/5.31 % (3320)Termination reason: Unknown
% 28.67/5.31 % (3320)Termination phase: Saturation
% 28.67/5.31
% 28.67/5.31 % (3320)Memory used [KB]: 6524
% 28.67/5.31 % (3320)Time elapsed: 0.316 s
% 28.67/5.31 % (3320)Instructions burned: 593 (million)
% 28.67/5.31 % (3320)------------------------------
% 28.67/5.31 % (3320)------------------------------
% 28.67/5.33 % (3322)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_3093 for (2960ds/594Mi)
% 28.67/5.35 % (3317)Instruction limit reached!
% 28.67/5.35 % (3317)------------------------------
% 28.67/5.35 % (3317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.67/5.35 % (3317)Termination reason: Unknown
% 28.67/5.35 % (3317)Termination phase: Saturation
% 28.67/5.35
% 28.67/5.35 % (3317)Memory used [KB]: 7291
% 28.67/5.35 % (3317)Time elapsed: 0.461 s
% 28.67/5.35 % (3317)Instructions burned: 908 (million)
% 28.67/5.35 % (3317)------------------------------
% 28.67/5.35 % (3317)------------------------------
% 28.67/5.37 % (3323)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_3093 for (2960ds/327Mi)
% 28.67/5.38 % (3321)Instruction limit reached!
% 28.67/5.38 % (3321)------------------------------
% 28.67/5.38 % (3321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.67/5.38 % (3321)Termination reason: Unknown
% 28.67/5.38 % (3321)Termination phase: Saturation
% 28.67/5.38
% 28.67/5.38 % (3321)Memory used [KB]: 6652
% 28.67/5.38 % (3321)Time elapsed: 0.215 s
% 28.67/5.38 % (3321)Instructions burned: 443 (million)
% 28.67/5.38 % (3321)------------------------------
% 28.67/5.38 % (3321)------------------------------
% 28.67/5.39 % (3319)Instruction limit reached!
% 28.67/5.39 % (3319)------------------------------
% 28.67/5.39 % (3319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.67/5.39 % (3319)Termination reason: Unknown
% 28.67/5.39 % (3319)Termination phase: Saturation
% 28.67/5.39
% 28.67/5.39 % (3319)Memory used [KB]: 8059
% 28.67/5.39 % (3319)Time elapsed: 0.421 s
% 28.67/5.39 % (3319)Instructions burned: 865 (million)
% 28.67/5.39 % (3319)------------------------------
% 28.67/5.39 % (3319)------------------------------
% 28.67/5.39 % (3324)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_3093 for (2960ds/5411Mi)
% 29.38/5.40 % (3325)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_3093 for (2960ds/1762Mi)
% 29.38/5.49 % (3316)Instruction limit reached!
% 29.38/5.49 % (3316)------------------------------
% 29.38/5.49 % (3316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.38/5.49 % (3316)Termination reason: Unknown
% 29.38/5.49 % (3316)Termination phase: Saturation
% 29.38/5.49
% 29.38/5.49 % (3316)Memory used [KB]: 9722
% 29.38/5.49 % (3316)Time elapsed: 0.644 s
% 29.38/5.49 % (3316)Instructions burned: 1376 (million)
% 29.38/5.49 % (3316)------------------------------
% 29.38/5.49 % (3316)------------------------------
% 29.68/5.51 % (3326)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_3093 for (2959ds/96Mi)
% 29.68/5.53 % (3323)Instruction limit reached!
% 29.68/5.53 % (3323)------------------------------
% 29.68/5.53 % (3323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.68/5.53 % (3323)Termination reason: Unknown
% 29.68/5.53 % (3323)Termination phase: Saturation
% 29.68/5.53
% 29.68/5.53 % (3323)Memory used [KB]: 6524
% 29.68/5.53 % (3323)Time elapsed: 0.163 s
% 29.68/5.53 % (3323)Instructions burned: 327 (million)
% 29.68/5.53 % (3323)------------------------------
% 29.68/5.53 % (3323)------------------------------
% 29.68/5.54 % (3327)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_3093 for (2958ds/503Mi)
% 29.68/5.56 % (3326)Instruction limit reached!
% 29.68/5.56 % (3326)------------------------------
% 29.68/5.56 % (3326)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.68/5.56 % (3326)Termination reason: Unknown
% 29.68/5.56 % (3326)Termination phase: Saturation
% 29.68/5.56
% 29.68/5.56 % (3326)Memory used [KB]: 5884
% 29.68/5.56 % (3326)Time elapsed: 0.049 s
% 29.68/5.56 % (3326)Instructions burned: 97 (million)
% 29.68/5.56 % (3326)------------------------------
% 29.68/5.56 % (3326)------------------------------
% 29.68/5.58 % (3328)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_3093 for (2958ds/90Mi)
% 30.13/5.61 % (3322)Instruction limit reached!
% 30.13/5.61 % (3322)------------------------------
% 30.13/5.61 % (3322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.13/5.61 % (3322)Termination reason: Unknown
% 30.13/5.61 % (3322)Termination phase: Saturation
% 30.13/5.61
% 30.13/5.61 % (3322)Memory used [KB]: 6908
% 30.13/5.61 % (3322)Time elapsed: 0.285 s
% 30.13/5.61 % (3322)Instructions burned: 594 (million)
% 30.13/5.61 % (3322)------------------------------
% 30.13/5.61 % (3322)------------------------------
% 30.13/5.62 % (3328)Instruction limit reached!
% 30.13/5.62 % (3328)------------------------------
% 30.13/5.62 % (3328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.13/5.62 % (3328)Termination reason: Unknown
% 30.13/5.62 % (3328)Termination phase: Saturation
% 30.13/5.62
% 30.13/5.62 % (3328)Memory used [KB]: 6012
% 30.13/5.62 % (3328)Time elapsed: 0.047 s
% 30.13/5.62 % (3328)Instructions burned: 91 (million)
% 30.13/5.62 % (3328)------------------------------
% 30.13/5.62 % (3328)------------------------------
% 30.13/5.63 % (3329)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_3093 for (2958ds/593Mi)
% 30.13/5.64 % (3330)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_3093 for (2957ds/1512Mi)
% 30.13/5.64 % (3330)Refutation not found, incomplete strategy
% 30.13/5.64 % (3330)------------------------------
% 30.13/5.64 % (3330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.13/5.64 % (3330)Termination reason: Refutation not found, incomplete strategy
% 30.13/5.64
% 30.13/5.64
% 30.13/5.64 % (3330)Memory used [KB]: 5628
% 30.13/5.64 % (3330)Time elapsed: 0.007 s
% 30.13/5.64 % (3330)Instructions burned: 10 (million)
% 30.13/5.64 % (3330)------------------------------
% 30.13/5.64 % (3330)------------------------------
% 30.13/5.66 % (3331)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_3093 for (2957ds/569Mi)
% 30.71/5.78 % (3327)Instruction limit reached!
% 30.71/5.78 % (3327)------------------------------
% 30.71/5.78 % (3327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.71/5.79 % (3327)Termination reason: Unknown
% 30.71/5.79 % (3327)Termination phase: Saturation
% 30.71/5.79
% 30.71/5.79 % (3327)Memory used [KB]: 6524
% 30.71/5.79 % (3327)Time elapsed: 0.243 s
% 30.71/5.79 % (3327)Instructions burned: 504 (million)
% 30.71/5.79 % (3327)------------------------------
% 30.71/5.79 % (3327)------------------------------
% 31.16/5.80 % (3332)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_3093 for (2956ds/501Mi)
% 31.36/5.92 % (3329)Instruction limit reached!
% 31.36/5.92 % (3329)------------------------------
% 31.36/5.92 % (3329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.36/5.92 % (3329)Termination reason: Unknown
% 31.36/5.92 % (3329)Termination phase: Saturation
% 31.36/5.92
% 31.36/5.92 % (3329)Memory used [KB]: 6652
% 31.36/5.92 % (3329)Time elapsed: 0.285 s
% 31.36/5.92 % (3329)Instructions burned: 593 (million)
% 31.36/5.92 % (3329)------------------------------
% 31.36/5.92 % (3329)------------------------------
% 31.36/5.93 % (3333)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_3093 for (2955ds/562Mi)
% 31.36/5.93 % (3331)Instruction limit reached!
% 31.36/5.93 % (3331)------------------------------
% 31.36/5.93 % (3331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.36/5.93 % (3331)Termination reason: Unknown
% 31.36/5.94 % (3331)Termination phase: Saturation
% 31.36/5.94
% 31.36/5.94 % (3331)Memory used [KB]: 6268
% 31.36/5.94 % (3331)Time elapsed: 0.275 s
% 31.36/5.94 % (3331)Instructions burned: 570 (million)
% 31.36/5.94 % (3331)------------------------------
% 31.36/5.94 % (3331)------------------------------
% 31.36/5.95 % (3334)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_3093 for (2954ds/406Mi)
% 31.36/5.96 % (3334)Refutation not found, incomplete strategy
% 31.36/5.96 % (3334)------------------------------
% 31.36/5.96 % (3334)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.36/5.96 % (3334)Termination reason: Refutation not found, incomplete strategy
% 31.36/5.96
% 31.36/5.96
% 31.36/5.96 % (3334)Memory used [KB]: 5500
% 31.36/5.96 % (3334)Time elapsed: 0.008 s
% 31.36/5.96 % (3334)Instructions burned: 12 (million)
% 31.36/5.96 % (3334)------------------------------
% 31.36/5.96 % (3334)------------------------------
% 31.36/5.98 % (3335)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_3093 for (2954ds/582Mi)
% 33.88/6.04 % (3332)Instruction limit reached!
% 33.88/6.04 % (3332)------------------------------
% 33.88/6.04 % (3332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.88/6.04 % (3332)Termination reason: Unknown
% 33.88/6.04 % (3332)Termination phase: Saturation
% 33.88/6.04
% 33.88/6.04 % (3332)Memory used [KB]: 7291
% 33.88/6.04 % (3332)Time elapsed: 0.243 s
% 33.88/6.04 % (3332)Instructions burned: 501 (million)
% 33.88/6.04 % (3332)------------------------------
% 33.88/6.04 % (3332)------------------------------
% 33.88/6.06 % (3336)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_3093 for (2953ds/456Mi)
% 33.88/6.11 % (3311)Instruction limit reached!
% 33.88/6.11 % (3311)------------------------------
% 33.88/6.11 % (3311)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.88/6.11 % (3311)Termination reason: Unknown
% 33.88/6.11 % (3311)Termination phase: Saturation
% 33.88/6.11
% 33.88/6.11 % (3311)Memory used [KB]: 12792
% 33.88/6.11 % (3311)Time elapsed: 2.069 s
% 33.88/6.11 % (3311)Instructions burned: 4714 (million)
% 33.88/6.11 % (3311)------------------------------
% 33.88/6.11 % (3311)------------------------------
% 34.52/6.13 % (3337)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_3093 for (2953ds/393Mi)
% 34.87/6.20 % (3333)Instruction limit reached!
% 34.87/6.20 % (3333)------------------------------
% 34.87/6.20 % (3333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.87/6.20 % (3333)Termination reason: Unknown
% 34.87/6.20 % (3333)Termination phase: Saturation
% 34.87/6.20
% 34.87/6.20 % (3333)Memory used [KB]: 6652
% 34.87/6.20 % (3333)Time elapsed: 0.291 s
% 34.87/6.20 % (3333)Instructions burned: 562 (million)
% 34.87/6.20 % (3333)------------------------------
% 34.87/6.20 % (3333)------------------------------
% 34.87/6.21 % (3337)Refutation not found, incomplete strategy
% 34.87/6.21 % (3337)------------------------------
% 34.87/6.21 % (3337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.87/6.21 % (3337)Termination reason: Refutation not found, incomplete strategy
% 34.87/6.21
% 34.87/6.21
% 34.87/6.21 % (3337)Memory used [KB]: 6012
% 34.87/6.21 % (3337)Time elapsed: 0.105 s
% 34.87/6.21 % (3337)Instructions burned: 157 (million)
% 34.87/6.21 % (3337)------------------------------
% 34.87/6.21 % (3337)------------------------------
% 34.87/6.22 % (3338)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_3093 for (2952ds/1335Mi)
% 34.87/6.23 % (3339)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_3093 for (2951ds/3373Mi)
% 34.87/6.23 % (3325)Instruction limit reached!
% 34.87/6.23 % (3325)------------------------------
% 34.87/6.23 % (3325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.87/6.23 % (3325)Termination reason: Unknown
% 34.87/6.23 % (3325)Termination phase: Saturation
% 34.87/6.23
% 34.87/6.23 % (3325)Memory used [KB]: 9722
% 34.87/6.23 % (3325)Time elapsed: 0.831 s
% 34.87/6.23 % (3325)Instructions burned: 1763 (million)
% 34.87/6.23 % (3325)------------------------------
% 34.87/6.23 % (3325)------------------------------
% 34.87/6.24 % (3335)Instruction limit reached!
% 34.87/6.24 % (3335)------------------------------
% 34.87/6.24 % (3335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.87/6.24 % (3335)Termination reason: Unknown
% 34.87/6.24 % (3335)Termination phase: Saturation
% 34.87/6.24
% 34.87/6.24 % (3335)Memory used [KB]: 6268
% 34.87/6.24 % (3335)Time elapsed: 0.291 s
% 34.87/6.24 % (3335)Instructions burned: 584 (million)
% 34.87/6.24 % (3335)------------------------------
% 34.87/6.24 % (3335)------------------------------
% 34.87/6.25 % (3340)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_3093 for (2951ds/474Mi)
% 34.87/6.26 % (3341)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_3093 for (2951ds/157Mi)
% 34.87/6.28 % (3336)Instruction limit reached!
% 34.87/6.28 % (3336)------------------------------
% 34.87/6.28 % (3336)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.87/6.28 % (3336)Termination reason: Unknown
% 34.87/6.28 % (3336)Termination phase: Saturation
% 34.87/6.28
% 34.87/6.28 % (3336)Memory used [KB]: 6780
% 34.87/6.28 % (3336)Time elapsed: 0.240 s
% 34.87/6.28 % (3336)Instructions burned: 457 (million)
% 34.87/6.28 % (3336)------------------------------
% 34.87/6.28 % (3336)------------------------------
% 34.87/6.29 % (3342)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_3093 for (2951ds/590Mi)
% 35.51/6.33 % (3341)Instruction limit reached!
% 35.51/6.33 % (3341)------------------------------
% 35.51/6.33 % (3341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.51/6.33 % (3341)Termination reason: Unknown
% 35.51/6.33 % (3341)Termination phase: Saturation
% 35.51/6.33
% 35.51/6.33 % (3341)Memory used [KB]: 6012
% 35.51/6.34 % (3341)Time elapsed: 0.078 s
% 35.51/6.34 % (3341)Instructions burned: 158 (million)
% 35.51/6.34 % (3341)------------------------------
% 35.51/6.34 % (3341)------------------------------
% 35.51/6.35 % (3343)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_3093 for (2950ds/104Mi)
% 35.81/6.41 % (3343)Instruction limit reached!
% 35.81/6.41 % (3343)------------------------------
% 35.81/6.41 % (3343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.81/6.41 % (3343)Termination reason: Unknown
% 35.81/6.41 % (3343)Termination phase: Saturation
% 35.81/6.41
% 35.81/6.41 % (3343)Memory used [KB]: 5756
% 35.81/6.41 % (3343)Time elapsed: 0.055 s
% 35.81/6.41 % (3343)Instructions burned: 105 (million)
% 35.81/6.41 % (3343)------------------------------
% 35.81/6.41 % (3343)------------------------------
% 35.81/6.42 % (3344)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_3093 for (2949ds/414Mi)
% 35.81/6.47 % (3340)Instruction limit reached!
% 35.81/6.47 % (3340)------------------------------
% 35.81/6.47 % (3340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.81/6.47 % (3340)Termination reason: Unknown
% 35.81/6.47 % (3340)Termination phase: Saturation
% 35.81/6.47
% 35.81/6.47 % (3340)Memory used [KB]: 6396
% 35.81/6.47 % (3340)Time elapsed: 0.224 s
% 35.81/6.47 % (3340)Instructions burned: 476 (million)
% 35.81/6.47 % (3340)------------------------------
% 35.81/6.47 % (3340)------------------------------
% 35.81/6.49 % (3345)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_3093 for (2949ds/715Mi)
% 36.31/6.57 % (3342)Instruction limit reached!
% 36.31/6.57 % (3342)------------------------------
% 36.31/6.57 % (3342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.31/6.57 % (3342)Termination reason: Unknown
% 36.31/6.57 % (3342)Termination phase: Saturation
% 36.31/6.57
% 36.31/6.57 % (3342)Memory used [KB]: 7419
% 36.31/6.57 % (3342)Time elapsed: 0.280 s
% 36.31/6.57 % (3342)Instructions burned: 591 (million)
% 36.31/6.57 % (3342)------------------------------
% 36.31/6.57 % (3342)------------------------------
% 36.31/6.59 % (3346)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_3093 for (2948ds/961Mi)
% 36.82/6.62 % (3344)Instruction limit reached!
% 36.82/6.62 % (3344)------------------------------
% 36.82/6.62 % (3344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.82/6.62 % (3344)Termination reason: Unknown
% 36.82/6.62 % (3344)Termination phase: Saturation
% 36.82/6.62
% 36.82/6.62 % (3344)Memory used [KB]: 6396
% 36.82/6.62 % (3344)Time elapsed: 0.198 s
% 36.82/6.62 % (3344)Instructions burned: 415 (million)
% 36.82/6.62 % (3344)------------------------------
% 36.82/6.62 % (3344)------------------------------
% 36.82/6.64 % (3347)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_3093 for (2947ds/1213Mi)
% 37.44/6.83 % (3345)Instruction limit reached!
% 37.44/6.83 % (3345)------------------------------
% 37.44/6.83 % (3345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.44/6.83 % (3345)Termination reason: Unknown
% 37.44/6.83 % (3345)Termination phase: Saturation
% 37.44/6.83
% 37.44/6.83 % (3345)Memory used [KB]: 2558
% 37.44/6.83 % (3345)Time elapsed: 0.339 s
% 37.44/6.83 % (3345)Instructions burned: 716 (million)
% 37.44/6.83 % (3345)------------------------------
% 37.44/6.83 % (3345)------------------------------
% 37.44/6.83 % (3338)Instruction limit reached!
% 37.44/6.83 % (3338)------------------------------
% 37.44/6.83 % (3338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.44/6.83 % (3338)Termination reason: Unknown
% 37.44/6.83 % (3338)Termination phase: Saturation
% 37.44/6.83
% 37.44/6.83 % (3338)Memory used [KB]: 7803
% 37.44/6.83 % (3338)Time elapsed: 0.618 s
% 37.44/6.83 % (3338)Instructions burned: 1335 (million)
% 37.44/6.83 % (3338)------------------------------
% 37.44/6.83 % (3338)------------------------------
% 37.44/6.84 % (3348)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_3093 for (2945ds/1979Mi)
% 37.44/6.85 % (3349)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_3093 for (2945ds/481Mi)
% 40.87/7.04 % (3346)Instruction limit reached!
% 40.87/7.04 % (3346)------------------------------
% 40.87/7.04 % (3346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.87/7.04 % (3346)Termination reason: Unknown
% 40.87/7.04 % (3346)Termination phase: Saturation
% 40.87/7.04
% 40.87/7.04 % (3346)Memory used [KB]: 7419
% 40.87/7.04 % (3346)Time elapsed: 0.455 s
% 40.87/7.04 % (3346)Instructions burned: 962 (million)
% 40.87/7.04 % (3346)------------------------------
% 40.87/7.04 % (3346)------------------------------
% 40.87/7.06 % (3350)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_3093 for (2943ds/783Mi)
% 40.87/7.08 % (3349)Instruction limit reached!
% 40.87/7.08 % (3349)------------------------------
% 40.87/7.08 % (3349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 40.87/7.08 % (3349)Termination reason: Unknown
% 40.87/7.08 % (3349)Termination phase: Saturation
% 40.87/7.08
% 40.87/7.08 % (3349)Memory used [KB]: 6652
% 40.87/7.08 % (3349)Time elapsed: 0.235 s
% 40.87/7.08 % (3349)Instructions burned: 481 (million)
% 40.87/7.08 % (3349)------------------------------
% 40.87/7.08 % (3349)------------------------------
% 40.87/7.10 % (3351)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_3093 for (2943ds/432Mi)
% 42.32/7.31 % (3351)Instruction limit reached!
% 42.32/7.31 % (3351)------------------------------
% 42.32/7.31 % (3351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.32/7.31 % (3351)Termination reason: Unknown
% 42.32/7.31 % (3351)Termination phase: Saturation
% 42.32/7.31
% 42.32/7.31 % (3351)Memory used [KB]: 6652
% 42.32/7.31 % (3351)Time elapsed: 0.208 s
% 42.32/7.31 % (3351)Instructions burned: 432 (million)
% 42.32/7.31 % (3351)------------------------------
% 42.32/7.31 % (3351)------------------------------
% 42.32/7.31 % (3347)Instruction limit reached!
% 42.32/7.31 % (3347)------------------------------
% 42.32/7.31 % (3347)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.32/7.31 % (3347)Termination reason: Unknown
% 42.32/7.31 % (3347)Termination phase: Saturation
% 42.32/7.31
% 42.32/7.31 % (3347)Memory used [KB]: 9338
% 42.32/7.31 % (3347)Time elapsed: 0.675 s
% 42.32/7.31 % (3347)Instructions burned: 1214 (million)
% 42.32/7.31 % (3347)------------------------------
% 42.32/7.31 % (3347)------------------------------
% 42.32/7.32 % (3352)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_3093 for (2941ds/1670Mi)
% 42.32/7.32 % (3353)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_3093 for (2941ds/90Mi)
% 42.32/7.37 % (3353)Instruction limit reached!
% 42.32/7.37 % (3353)------------------------------
% 42.32/7.37 % (3353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.32/7.37 % (3353)Termination reason: Unknown
% 42.32/7.37 % (3353)Termination phase: Saturation
% 42.32/7.37
% 42.32/7.37 % (3353)Memory used [KB]: 5756
% 42.32/7.37 % (3353)Time elapsed: 0.046 s
% 42.32/7.37 % (3353)Instructions burned: 90 (million)
% 42.32/7.37 % (3353)------------------------------
% 42.32/7.37 % (3353)------------------------------
% 42.32/7.39 % (3354)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_3093 for (2940ds/346Mi)
% 43.03/7.44 % (3350)Instruction limit reached!
% 43.03/7.44 % (3350)------------------------------
% 43.03/7.44 % (3350)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.03/7.44 % (3350)Termination reason: Unknown
% 43.03/7.44 % (3350)Termination phase: Saturation
% 43.03/7.44
% 43.03/7.44 % (3350)Memory used [KB]: 6908
% 43.03/7.44 % (3350)Time elapsed: 0.382 s
% 43.03/7.44 % (3350)Instructions burned: 783 (million)
% 43.03/7.44 % (3350)------------------------------
% 43.03/7.44 % (3350)------------------------------
% 43.03/7.46 % (3355)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_3093 for (2939ds/401Mi)
% 43.82/7.55 % (3354)Instruction limit reached!
% 43.82/7.55 % (3354)------------------------------
% 43.82/7.55 % (3354)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.82/7.55 % (3354)Termination reason: Unknown
% 43.82/7.55 % (3354)Termination phase: Saturation
% 43.82/7.55
% 43.82/7.55 % (3354)Memory used [KB]: 6396
% 43.82/7.55 % (3354)Time elapsed: 0.163 s
% 43.82/7.55 % (3354)Instructions burned: 346 (million)
% 43.82/7.55 % (3354)------------------------------
% 43.82/7.55 % (3354)------------------------------
% 43.82/7.56 % (3356)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_3093 for (2938ds/6454Mi)
% 44.40/7.65 % (3355)Instruction limit reached!
% 44.40/7.65 % (3355)------------------------------
% 44.40/7.65 % (3355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.40/7.65 % (3355)Termination reason: Unknown
% 44.40/7.65 % (3355)Termination phase: Saturation
% 44.40/7.65
% 44.40/7.65 % (3355)Memory used [KB]: 6396
% 44.40/7.65 % (3355)Time elapsed: 0.199 s
% 44.40/7.65 % (3355)Instructions burned: 402 (million)
% 44.40/7.65 % (3355)------------------------------
% 44.40/7.65 % (3355)------------------------------
% 44.40/7.67 % (3358)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_3093 for (2937ds/283Mi)
% 45.01/7.77 % (3348)Instruction limit reached!
% 45.01/7.77 % (3348)------------------------------
% 45.01/7.77 % (3348)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.01/7.77 % (3348)Termination reason: Unknown
% 45.01/7.77 % (3348)Termination phase: Saturation
% 45.01/7.77
% 45.01/7.77 % (3348)Memory used [KB]: 8699
% 45.01/7.77 % (3348)Time elapsed: 0.930 s
% 45.01/7.77 % (3348)Instructions burned: 1980 (million)
% 45.01/7.77 % (3348)------------------------------
% 45.01/7.77 % (3348)------------------------------
% 45.01/7.79 % (3359)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_3093 for (2936ds/865Mi)
% 45.01/7.79 % (3339)Instruction limit reached!
% 45.01/7.79 % (3339)------------------------------
% 45.01/7.79 % (3339)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.01/7.79 % (3339)Termination reason: Unknown
% 45.01/7.79 % (3339)Termination phase: Saturation
% 45.01/7.79
% 45.01/7.79 % (3339)Memory used [KB]: 10490
% 45.01/7.79 % (3339)Time elapsed: 1.569 s
% 45.01/7.79 % (3339)Instructions burned: 3373 (million)
% 45.01/7.79 % (3339)------------------------------
% 45.01/7.79 % (3339)------------------------------
% 45.41/7.81 % (3358)Instruction limit reached!
% 45.41/7.81 % (3358)------------------------------
% 45.41/7.81 % (3358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.41/7.81 % (3358)Termination reason: Unknown
% 45.41/7.81 % (3358)Termination phase: Saturation
% 45.41/7.81
% 45.41/7.81 % (3358)Memory used [KB]: 6140
% 45.41/7.81 % (3358)Time elapsed: 0.142 s
% 45.41/7.81 % (3358)Instructions burned: 283 (million)
% 45.41/7.81 % (3358)------------------------------
% 45.41/7.81 % (3358)------------------------------
% 45.41/7.81 % (3360)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_3093 for (2936ds/4528Mi)
% 45.41/7.82 % (3360)Refutation not found, incomplete strategy
% 45.41/7.82 % (3360)------------------------------
% 45.41/7.82 % (3360)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.41/7.82 % (3360)Termination reason: Refutation not found, incomplete strategy
% 45.41/7.82
% 45.41/7.82
% 45.41/7.82 % (3360)Memory used [KB]: 1023
% 45.41/7.82 % (3360)Time elapsed: 0.005 s
% 45.41/7.82 % (3360)Instructions burned: 7 (million)
% 45.41/7.82 % (3360)------------------------------
% 45.41/7.82 % (3360)------------------------------
% 45.41/7.83 % (3361)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_3093 for (2936ds/1001Mi)
% 45.41/7.83 % (3362)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_3093 for (2936ds/102Mi)
% 45.41/7.88 % (3362)Instruction limit reached!
% 45.41/7.88 % (3362)------------------------------
% 45.41/7.88 % (3362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.41/7.88 % (3362)Termination reason: Unknown
% 45.41/7.88 % (3362)Termination phase: Saturation
% 45.41/7.88
% 45.41/7.88 % (3362)Memory used [KB]: 5884
% 45.41/7.88 % (3362)Time elapsed: 0.052 s
% 45.41/7.88 % (3362)Instructions burned: 102 (million)
% 45.41/7.88 % (3362)------------------------------
% 45.41/7.88 % (3362)------------------------------
% 45.84/7.90 % (3363)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_3093 for (2935ds/952Mi)
% 45.84/7.97 % (3324)Instruction limit reached!
% 45.84/7.97 % (3324)------------------------------
% 45.84/7.97 % (3324)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.84/7.97 % (3324)Termination reason: Unknown
% 45.84/7.97 % (3324)Termination phase: Saturation
% 45.84/7.97
% 45.84/7.97 % (3324)Memory used [KB]: 16247
% 45.84/7.97 % (3324)Time elapsed: 2.579 s
% 45.84/7.97 % (3324)Instructions burned: 5411 (million)
% 45.84/7.97 % (3324)------------------------------
% 45.84/7.97 % (3324)------------------------------
% 45.84/7.99 % (3364)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_3093 for (2934ds/578Mi)
% 47.83/8.03 % (3312)Instruction limit reached!
% 47.83/8.03 % (3312)------------------------------
% 47.83/8.03 % (3312)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.83/8.03 % (3312)Termination reason: Unknown
% 47.83/8.03 % (3312)Termination phase: Saturation
% 47.83/8.03
% 47.83/8.03 % (3312)Memory used [KB]: 22643
% 47.83/8.03 % (3312)Time elapsed: 3.973 s
% 47.83/8.03 % (3312)Instructions burned: 8251 (million)
% 47.83/8.03 % (3312)------------------------------
% 47.83/8.03 % (3312)------------------------------
% 47.83/8.05 % (3352)Instruction limit reached!
% 47.83/8.05 % (3352)------------------------------
% 47.83/8.05 % (3352)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.83/8.05 % (3352)Termination reason: Unknown
% 47.83/8.05 % (3352)Termination phase: Saturation
% 47.83/8.05
% 47.83/8.05 % (3352)Memory used [KB]: 6908
% 47.83/8.05 % (3352)Time elapsed: 0.725 s
% 47.83/8.05 % (3352)Instructions burned: 1672 (million)
% 47.83/8.05 % (3352)------------------------------
% 47.83/8.05 % (3352)------------------------------
% 47.83/8.05 % (3365)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_3093 for (2933ds/643Mi)
% 47.83/8.06 % (3366)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_3093 for (2933ds/865Mi)
% 47.83/8.07 % (3366)Refutation not found, incomplete strategy
% 47.83/8.07 % (3366)------------------------------
% 47.83/8.07 % (3366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.83/8.07 % (3366)Termination reason: Refutation not found, incomplete strategy
% 47.83/8.07
% 47.83/8.07
% 47.83/8.07 % (3366)Memory used [KB]: 5500
% 47.83/8.07 % (3366)Time elapsed: 0.010 s
% 47.83/8.07 % (3366)Instructions burned: 17 (million)
% 47.83/8.07 % (3366)------------------------------
% 47.83/8.07 % (3366)------------------------------
% 47.83/8.09 % (3367)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_3093 for (2933ds/1174Mi)
% 48.81/8.22 % (3359)Instruction limit reached!
% 48.81/8.22 % (3359)------------------------------
% 48.81/8.22 % (3359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.81/8.22 % (3359)Termination reason: Unknown
% 48.81/8.22 % (3359)Termination phase: Saturation
% 48.81/8.22
% 48.81/8.22 % (3359)Memory used [KB]: 6780
% 48.81/8.22 % (3359)Time elapsed: 0.433 s
% 48.81/8.22 % (3359)Instructions burned: 866 (million)
% 48.81/8.22 % (3359)------------------------------
% 48.81/8.22 % (3359)------------------------------
% 48.81/8.24 % (3368)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_3093 for (2932ds/644Mi)
% 48.81/8.26 % (3364)Instruction limit reached!
% 48.81/8.26 % (3364)------------------------------
% 48.81/8.26 % (3364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.81/8.26 % (3364)Termination reason: Unknown
% 48.81/8.26 % (3364)Termination phase: Saturation
% 48.81/8.26
% 48.81/8.26 % (3364)Memory used [KB]: 6396
% 48.81/8.26 % (3364)Time elapsed: 0.273 s
% 48.81/8.26 % (3364)Instructions burned: 578 (million)
% 48.81/8.26 % (3364)------------------------------
% 48.81/8.26 % (3364)------------------------------
% 48.81/8.28 % (3369)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_3093 for (2931ds/1201Mi)
% 49.20/8.30 % (3361)Instruction limit reached!
% 49.20/8.30 % (3361)------------------------------
% 49.20/8.30 % (3361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.20/8.30 % (3361)Termination reason: Unknown
% 49.20/8.30 % (3361)Termination phase: Saturation
% 49.20/8.30
% 49.20/8.30 % (3361)Memory used [KB]: 10874
% 49.20/8.30 % (3361)Time elapsed: 0.477 s
% 49.20/8.30 % (3361)Instructions burned: 1001 (million)
% 49.20/8.30 % (3361)------------------------------
% 49.20/8.30 % (3361)------------------------------
% 49.20/8.32 % (3370)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_3093 for (2931ds/1046Mi)
% 49.20/8.35 % (3365)Instruction limit reached!
% 49.20/8.35 % (3365)------------------------------
% 49.20/8.35 % (3365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.20/8.35 % (3365)Termination reason: Unknown
% 49.20/8.35 % (3365)Termination phase: Saturation
% 49.20/8.35
% 49.20/8.35 % (3365)Memory used [KB]: 6396
% 49.20/8.35 % (3365)Time elapsed: 0.298 s
% 49.20/8.35 % (3365)Instructions burned: 644 (million)
% 49.20/8.35 % (3365)------------------------------
% 49.20/8.35 % (3365)------------------------------
% 49.20/8.36 % (3363)Instruction limit reached!
% 49.20/8.36 % (3363)------------------------------
% 49.20/8.36 % (3363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.20/8.36 % (3363)Termination reason: Unknown
% 49.20/8.36 % (3363)Termination phase: Saturation
% 49.20/8.36
% 49.20/8.36 % (3363)Memory used [KB]: 7036
% 49.20/8.36 % (3363)Time elapsed: 0.464 s
% 49.20/8.36 % (3363)Instructions burned: 953 (million)
% 49.20/8.36 % (3363)------------------------------
% 49.20/8.36 % (3363)------------------------------
% 49.20/8.37 % (3371)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_3093 for (2930ds/222Mi)
% 49.20/8.38 % (3372)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_3093 for (2930ds/68Mi)
% 49.72/8.41 % (3372)Instruction limit reached!
% 49.72/8.41 % (3372)------------------------------
% 49.72/8.41 % (3372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.72/8.41 % (3372)Termination reason: Unknown
% 49.72/8.41 % (3372)Termination phase: Saturation
% 49.72/8.41
% 49.72/8.41 % (3372)Memory used [KB]: 5756
% 49.72/8.41 % (3372)Time elapsed: 0.036 s
% 49.72/8.41 % (3372)Instructions burned: 68 (million)
% 49.72/8.41 % (3372)------------------------------
% 49.72/8.41 % (3372)------------------------------
% 49.72/8.43 % (3373)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_3093 for (2929ds/454Mi)
% 49.72/8.48 % (3371)Instruction limit reached!
% 49.72/8.48 % (3371)------------------------------
% 49.72/8.48 % (3371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.72/8.48 % (3371)Termination reason: Unknown
% 49.72/8.48 % (3371)Termination phase: Saturation
% 49.72/8.48
% 49.72/8.48 % (3371)Memory used [KB]: 6012
% 49.72/8.48 % (3371)Time elapsed: 0.111 s
% 49.72/8.48 % (3371)Instructions burned: 222 (million)
% 49.72/8.48 % (3371)------------------------------
% 49.72/8.48 % (3371)------------------------------
% 49.72/8.49 % (3374)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_3093 for (2929ds/360Mi)
% 49.99/8.55 % (3368)Instruction limit reached!
% 49.99/8.55 % (3368)------------------------------
% 49.99/8.55 % (3368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.99/8.55 % (3368)Termination reason: Unknown
% 49.99/8.55 % (3368)Termination phase: Saturation
% 49.99/8.55
% 49.99/8.55 % (3368)Memory used [KB]: 6652
% 49.99/8.55 % (3368)Time elapsed: 0.320 s
% 49.99/8.55 % (3368)Instructions burned: 644 (million)
% 49.99/8.55 % (3368)------------------------------
% 49.99/8.55 % (3368)------------------------------
% 49.99/8.57 % (3375)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_3093 for (2928ds/157Mi)
% 50.42/8.64 % (3373)Instruction limit reached!
% 50.42/8.64 % (3373)------------------------------
% 50.42/8.64 % (3373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.42/8.64 % (3373)Termination reason: Unknown
% 50.42/8.64 % (3373)Termination phase: Saturation
% 50.42/8.64
% 50.42/8.64 % (3373)Memory used [KB]: 10746
% 50.42/8.64 % (3373)Time elapsed: 0.209 s
% 50.42/8.64 % (3373)Instructions burned: 455 (million)
% 50.42/8.64 % (3373)------------------------------
% 50.42/8.64 % (3373)------------------------------
% 50.42/8.65 % (3375)Instruction limit reached!
% 50.42/8.65 % (3375)------------------------------
% 50.42/8.65 % (3375)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.42/8.65 % (3375)Termination reason: Unknown
% 50.42/8.65 % (3375)Termination phase: Saturation
% 50.42/8.65
% 50.42/8.65 % (3375)Memory used [KB]: 6012
% 50.42/8.65 % (3375)Time elapsed: 0.079 s
% 50.42/8.65 % (3375)Instructions burned: 158 (million)
% 50.42/8.65 % (3375)------------------------------
% 50.42/8.65 % (3375)------------------------------
% 50.42/8.65 % (3376)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_3093 for (2927ds/5061Mi)
% 50.42/8.65 % (3367)Instruction limit reached!
% 50.42/8.65 % (3367)------------------------------
% 50.42/8.65 % (3367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.42/8.65 % (3367)Termination reason: Unknown
% 50.42/8.65 % (3367)Termination phase: Saturation
% 50.42/8.65
% 50.42/8.65 % (3367)Memory used [KB]: 8059
% 50.42/8.65 % (3367)Time elapsed: 0.566 s
% 50.42/8.65 % (3367)Instructions burned: 1174 (million)
% 50.42/8.65 % (3367)------------------------------
% 50.42/8.65 % (3367)------------------------------
% 50.42/8.66 % (3377)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_3093 for (2927ds/2401Mi)
% 50.42/8.67 % (3378)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_3093 for (2927ds/5798Mi)
% 50.42/8.67 % (3374)Instruction limit reached!
% 50.42/8.67 % (3374)------------------------------
% 50.42/8.67 % (3374)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.42/8.67 % (3374)Termination reason: Unknown
% 50.42/8.67 % (3374)Termination phase: Saturation
% 50.42/8.67
% 50.42/8.67 % (3374)Memory used [KB]: 6140
% 50.42/8.67 % (3374)Time elapsed: 0.180 s
% 50.42/8.67 % (3374)Instructions burned: 361 (million)
% 50.42/8.67 % (3374)------------------------------
% 50.42/8.67 % (3374)------------------------------
% 50.42/8.69 % (3379)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_3093 for (2927ds/346Mi)
% 51.72/8.84 % (3370)Instruction limit reached!
% 51.72/8.84 % (3370)------------------------------
% 51.72/8.84 % (3370)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.72/8.84 % (3370)Termination reason: Unknown
% 51.72/8.84 % (3370)Termination phase: Saturation
% 51.72/8.84
% 51.72/8.84 % (3370)Memory used [KB]: 7547
% 51.72/8.84 % (3370)Time elapsed: 0.546 s
% 51.72/8.84 % (3370)Instructions burned: 1047 (million)
% 51.72/8.84 % (3370)------------------------------
% 51.72/8.84 % (3370)------------------------------
% 51.72/8.85 % (3379)Instruction limit reached!
% 51.72/8.85 % (3379)------------------------------
% 51.72/8.85 % (3379)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.72/8.85 % (3379)Termination reason: Unknown
% 51.72/8.85 % (3379)Termination phase: Saturation
% 51.72/8.85
% 51.72/8.85 % (3379)Memory used [KB]: 6396
% 51.72/8.85 % (3379)Time elapsed: 0.163 s
% 51.72/8.85 % (3379)Instructions burned: 346 (million)
% 51.72/8.85 % (3379)------------------------------
% 51.72/8.85 % (3379)------------------------------
% 51.72/8.85 % (3369)Instruction limit reached!
% 51.72/8.85 % (3369)------------------------------
% 51.72/8.85 % (3369)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.72/8.85 % (3369)Termination reason: Unknown
% 51.72/8.85 % (3369)Termination phase: Saturation
% 51.72/8.85
% 51.72/8.85 % (3369)Memory used [KB]: 10618
% 51.72/8.85 % (3369)Time elapsed: 0.599 s
% 51.72/8.85 % (3369)Instructions burned: 1201 (million)
% 51.72/8.85 % (3369)------------------------------
% 51.72/8.85 % (3369)------------------------------
% 51.72/8.86 % (3380)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_3093 for (2925ds/1321Mi)
% 51.72/8.86 % (3380)Refutation not found, incomplete strategy
% 51.72/8.86 % (3380)------------------------------
% 51.72/8.86 % (3380)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.72/8.86 % (3380)Termination reason: Refutation not found, incomplete strategy
% 51.72/8.86
% 51.72/8.86
% 51.72/8.86 % (3380)Memory used [KB]: 1023
% 51.72/8.86 % (3380)Time elapsed: 0.006 s
% 51.72/8.86 % (3380)Instructions burned: 8 (million)
% 51.72/8.86 % (3380)------------------------------
% 51.72/8.86 % (3380)------------------------------
% 51.72/8.86 % (3381)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_3093 for (2925ds/1312Mi)
% 51.72/8.87 % (3382)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_3093 for (2925ds/672Mi)
% 51.72/8.88 % (3383)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_3093 for (2925ds/1897Mi)
% 55.56/9.20 % (3382)Instruction limit reached!
% 55.56/9.20 % (3382)------------------------------
% 55.56/9.20 % (3382)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.56/9.20 % (3382)Termination reason: Unknown
% 55.56/9.20 % (3382)Termination phase: Saturation
% 55.56/9.20
% 55.56/9.20 % (3382)Memory used [KB]: 7931
% 55.56/9.20 % (3382)Time elapsed: 0.328 s
% 55.56/9.20 % (3382)Instructions burned: 672 (million)
% 55.56/9.20 % (3382)------------------------------
% 55.56/9.20 % (3382)------------------------------
% 55.72/9.21 % (3384)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_3093 for (2922ds/1202Mi)
% 57.26/9.48 % (3381)Instruction limit reached!
% 57.26/9.48 % (3381)------------------------------
% 57.26/9.48 % (3381)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.26/9.48 % (3381)Termination reason: Unknown
% 57.26/9.48 % (3381)Termination phase: Saturation
% 57.26/9.48
% 57.26/9.48 % (3381)Memory used [KB]: 7931
% 57.26/9.48 % (3381)Time elapsed: 0.613 s
% 57.26/9.48 % (3381)Instructions burned: 1313 (million)
% 57.26/9.48 % (3381)------------------------------
% 57.26/9.48 % (3381)------------------------------
% 57.26/9.49 % (3385)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_3093 for (2919ds/1493Mi)
% 58.83/9.71 % (3384)First to succeed.
% 58.83/9.72 % (3384)Refutation found. Thanks to Tanya!
% 58.83/9.72 % SZS status Theorem for DTF2THF_3093
% 58.83/9.72 % SZS output start Proof for DTF2THF_3093
% 58.83/9.72 thf(func_def_0, type, in: $i > $i > $o).
% 58.83/9.72 thf(func_def_1, type, subset: $i > $i > $o).
% 58.83/9.72 thf(func_def_5, type, binunion: $i > $i > $i).
% 58.83/9.72 thf(func_def_9, type, binintersect: $i > $i > $i).
% 58.83/9.72 thf(func_def_26, type, sF3: $i > $i).
% 58.83/9.72 thf(func_def_28, type, sF5: $i > $i).
% 58.83/9.72 thf(func_def_31, type, sF8: $i > $i).
% 58.83/9.72 thf(func_def_50, type, sK27: $i > $i > $i).
% 58.83/9.72 thf(func_def_59, type, ph35: !>[X0: $tType]:(X0)).
% 58.83/9.72 thf(f5528,plain,(
% 58.83/9.72 $false),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f5527])).
% 58.83/9.72 thf(f5527,plain,(
% 58.83/9.72 ($false = $true)),
% 58.83/9.72 inference(forward_demodulation,[status(thm)],[f5526,f5493])).
% 58.83/9.72 thf(f5493,plain,(
% 58.83/9.72 ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $false)),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f5487])).
% 58.83/9.72 thf(f5487,plain,(
% 58.83/9.72 ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $false) | ($false = $true)),
% 58.83/9.72 inference(backward_demodulation,[status(thm)],[f1445,f5486])).
% 58.83/9.72 thf(f5486,plain,(
% 58.83/9.72 ($false = (subset @ sF7 @ sF10))),
% 58.83/9.72 inference(subsumption_resolution,[status(thm)],[f5485,f59])).
% 58.83/9.72 thf(f59,plain,(
% 58.83/9.72 (sF7 != sF10)),
% 58.83/9.72 inference(definition_folding,[status(thm)],[f39,f58,f57,f56,f51,f55,f54,f51,f53,f52,f51])).
% 58.83/9.72 thf(f52,definition,(
% 58.83/9.72 (sF4 = (sF3 @ sK2))),
% 58.83/9.72 introduced(definition,[],[function_definition])).
% 58.83/9.72 thf(f53,definition,(
% 58.83/9.72 ((binunion @ sF4) = sF5)),
% 58.83/9.72 introduced(definition,[],[function_definition])).
% 58.83/9.72 thf(f54,definition,(
% 58.83/9.72 ((sF3 @ sK1) = sF6)),
% 58.83/9.72 introduced(definition,[],[function_definition])).
% 58.83/9.72 thf(f55,definition,(
% 58.83/9.72 ((sF5 @ sF6) = sF7)),
% 58.83/9.72 introduced(definition,[],[function_definition])).
% 58.83/9.72 thf(f51,definition,(
% 58.83/9.72 ((binintersect @ sK0) = sF3)),
% 58.83/9.72 introduced(definition,[],[function_definition])).
% 58.83/9.72 thf(f56,definition,(
% 58.83/9.72 ((binunion @ sK2) = sF8)),
% 58.83/9.72 introduced(definition,[],[function_definition])).
% 58.83/9.72 thf(f57,definition,(
% 58.83/9.72 (sF9 = (sF8 @ sK1))),
% 58.83/9.72 introduced(definition,[],[function_definition])).
% 58.83/9.72 thf(f58,definition,(
% 58.83/9.72 ((sF3 @ sF9) = sF10)),
% 58.83/9.72 introduced(definition,[],[function_definition])).
% 58.83/9.72 thf(f39,plain,(
% 58.83/9.72 ((binunion @ (binintersect @ sK0 @ sK2) @ (binintersect @ sK0 @ sK1)) != (binintersect @ sK0 @ (binunion @ sK2 @ sK1)))),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f33])).
% 58.83/9.72 thf(f33,plain,(
% 58.83/9.72 (binintersectER = $true) & (binunionIR = $true) & (binunionIL = $true) & (binintersectEL = $true) & ((binunion @ (binintersect @ sK0 @ sK2) @ (binintersect @ sK0 @ sK1)) != (binintersect @ sK0 @ (binunion @ sK2 @ sK1))) & (setextsub = $true) & (binunionEcases = $true) & (binintersectI = $true) & (subsetI1 = $true)),
% 58.83/9.72 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f31,f32])).
% 58.83/9.72 thf(f32,plain,(
% 58.83/9.72 ? [X0 : $i,X1 : $i,X2 : $i] : ((binintersect @ X0 @ (binunion @ X2 @ X1)) != (binunion @ (binintersect @ X0 @ X2) @ (binintersect @ X0 @ X1))) => ((binunion @ (binintersect @ sK0 @ sK2) @ (binintersect @ sK0 @ sK1)) != (binintersect @ sK0 @ (binunion @ sK2 @ sK1)))),
% 58.83/9.72 introduced(definition,[],[choice_axiom])).
% 58.83/9.72 thf(f31,plain,(
% 58.83/9.72 (binintersectER = $true) & (binunionIR = $true) & (binunionIL = $true) & (binintersectEL = $true) & ? [X0 : $i,X1 : $i,X2 : $i] : ((binintersect @ X0 @ (binunion @ X2 @ X1)) != (binunion @ (binintersect @ X0 @ X2) @ (binintersect @ X0 @ X1))) & (setextsub = $true) & (binunionEcases = $true) & (binintersectI = $true) & (subsetI1 = $true)),
% 58.83/9.72 inference(flattening,[status(thm)],[f30])).
% 58.83/9.72 thf(f30,plain,(
% 58.83/9.72 (((((((? [X0 : $i,X1 : $i,X2 : $i] : ((binintersect @ X0 @ (binunion @ X2 @ X1)) != (binunion @ (binintersect @ X0 @ X2) @ (binintersect @ X0 @ X1))) & (binintersectER = $true)) & (binintersectEL = $true)) & (binintersectI = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (binunionIL = $true)) & (setextsub = $true)) & (subsetI1 = $true)),
% 58.83/9.72 inference(ennf_transformation,[status(thm)],[f23])).
% 58.83/9.72 thf(f23,plain,(
% 58.83/9.72 ~((subsetI1 = $true) => ((setextsub = $true) => ((binunionIL = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binintersectI = $true) => ((binintersectEL = $true) => ((binintersectER = $true) => ! [X0 : $i,X1 : $i,X2 : $i] : ((binintersect @ X0 @ (binunion @ X2 @ X1)) = (binunion @ (binintersect @ X0 @ X2) @ (binintersect @ X0 @ X1)))))))))))),
% 58.83/9.72 inference(fool_elimination,[status(thm)],[f22])).
% 58.83/9.72 thf(f22,plain,(
% 58.83/9.72 ~(subsetI1 => (setextsub => (binunionIL => (binunionIR => (binunionEcases => (binintersectI => (binintersectEL => (binintersectER => ! [X0 : $i,X1 : $i,X2 : $i] : ((binintersect @ X0 @ (binunion @ X2 @ X1)) = (binunion @ (binintersect @ X0 @ X2) @ (binintersect @ X0 @ X1)))))))))))),
% 58.83/9.72 inference(rectify,[status(thm)],[f10])).
% 58.83/9.72 thf(f10,negated_conjecture,(
% 58.83/9.72 ~(subsetI1 => (setextsub => (binunionIL => (binunionIR => (binunionEcases => (binintersectI => (binintersectEL => (binintersectER => ! [X0 : $i,X4 : $i,X1 : $i] : ((binintersect @ X0 @ (binunion @ X1 @ X4)) = (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X4)))))))))))),
% 58.83/9.72 inference(negated_conjecture,[status(cth)],[f9])).
% 58.83/9.72 thf(f9,conjecture,(
% 58.83/9.72 subsetI1 => (setextsub => (binunionIL => (binunionIR => (binunionEcases => (binintersectI => (binintersectEL => (binintersectER => ! [X0 : $i,X4 : $i,X1 : $i] : ((binintersect @ X0 @ (binunion @ X1 @ X4)) = (binunion @ (binintersect @ X0 @ X1) @ (binintersect @ X0 @ X4))))))))))),
% 58.83/9.72 file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',bs114d)).
% 58.83/9.72 thf(f5485,plain,(
% 58.83/9.72 ($false = (subset @ sF7 @ sF10)) | (sF7 = sF10)),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f5472])).
% 58.83/9.72 thf(f5472,plain,(
% 58.83/9.72 (sF7 = sF10) | ($false = (subset @ sF7 @ sF10)) | ($false = $true)),
% 58.83/9.72 inference(superposition,[status(thm)],[f5445,f230])).
% 58.83/9.72 thf(f230,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($false = (subset @ X2 @ X1)) | ((subset @ X1 @ X2) = $false) | (X1 = X2)) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f229])).
% 58.83/9.72 thf(f229,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (((subset @ X1 @ X2) = $false) | (X1 = X2) | ($false = (subset @ X2 @ X1)) | ($false = $true)) )),
% 58.83/9.72 inference(backward_demodulation,[status(thm)],[f209,f38])).
% 58.83/9.72 thf(f38,plain,(
% 58.83/9.72 (setextsub = $true)),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f33])).
% 58.83/9.72 thf(f209,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (((subset @ X1 @ X2) = $false) | (setextsub = $false) | (X1 = X2) | ($false = (subset @ X2 @ X1))) )),
% 58.83/9.72 inference(equality_proxy_clausification,[status(thm)],[f208])).
% 58.83/9.72 thf(f208,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : ((setextsub = $false) | ($true = (X2 = X1)) | ((subset @ X1 @ X2) = $false) | ($false = (subset @ X2 @ X1))) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f207])).
% 58.83/9.72 thf(f207,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : ((setextsub = $false) | ($false = (subset @ X2 @ X1)) | ($true = ((subset @ X1 @ X2) => (X2 = X1)))) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f206])).
% 58.83/9.72 thf(f206,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : ((setextsub = $false) | ($true = ((subset @ X2 @ X1) => ((subset @ X1 @ X2) => (X2 = X1))))) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f205])).
% 58.83/9.72 thf(f205,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : ((setextsub = $false) | (((^[Y0 : $i]: ((subset @ Y0 @ X1) => ((subset @ X1 @ Y0) => (Y0 = X1)))) @ X2) = $true)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f204])).
% 58.83/9.72 thf(f204,plain,(
% 58.83/9.72 ( ! [X1 : $i] : ((setextsub = $false) | ((!! @ $i @ (^[Y0 : $i]: ((subset @ Y0 @ X1) => ((subset @ X1 @ Y0) => (Y0 = X1))))) = $true)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f203])).
% 58.83/9.72 thf(f203,plain,(
% 58.83/9.72 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y1 @ Y0) => ((subset @ Y0 @ Y1) => (Y1 = Y0)))))) @ X1)) | (setextsub = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f202])).
% 58.83/9.72 thf(f202,plain,(
% 58.83/9.72 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y1 @ Y0) => ((subset @ Y0 @ Y1) => (Y1 = Y0)))))))) | (setextsub = $false)),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f48])).
% 58.83/9.72 thf(f48,plain,(
% 58.83/9.72 (setextsub = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y1 @ Y0) => ((subset @ Y0 @ Y1) => (Y1 = Y0))))))))),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f19])).
% 58.83/9.72 thf(f19,plain,(
% 58.83/9.72 (setextsub = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y1 @ Y0) => ((subset @ Y0 @ Y1) => (Y1 = Y0))))))))),
% 58.83/9.72 inference(fool_elimination,[status(thm)],[f18])).
% 58.83/9.72 thf(f18,plain,(
% 58.83/9.72 (setextsub = ! [X0 : $i,X1 : $i] : ((subset @ X0 @ X1) => ((subset @ X1 @ X0) => (X0 = X1))))),
% 58.83/9.72 inference(rectify,[status(thm)],[f2])).
% 58.83/9.72 thf(f2,axiom,(
% 58.83/9.72 (setextsub = ! [X0 : $i,X1 : $i] : ((subset @ X0 @ X1) => ((subset @ X1 @ X0) => (X0 = X1))))),
% 58.83/9.72 file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',setextsub)).
% 58.83/9.72 thf(f5445,plain,(
% 58.83/9.72 ($true = (subset @ sF10 @ sF7))),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f5444])).
% 58.83/9.72 thf(f5444,plain,(
% 58.83/9.72 ($true = (subset @ sF10 @ sF7)) | ($false = $true)),
% 58.83/9.72 inference(duplicate_literal_removal,[status(thm)],[f5441])).
% 58.83/9.72 thf(f5441,plain,(
% 58.83/9.72 ($true = (subset @ sF10 @ sF7)) | ($false = $true) | ($true = (subset @ sF10 @ sF7))),
% 58.83/9.72 inference(superposition,[status(thm)],[f1013,f3402])).
% 58.83/9.72 thf(f3402,plain,(
% 58.83/9.72 ($true = (in @ (sK27 @ sF7 @ sF10) @ sK1)) | ($true = (subset @ sF10 @ sF7))),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f3401])).
% 58.83/9.72 thf(f3401,plain,(
% 58.83/9.72 ($true = (subset @ sF10 @ sF7)) | ($true = (in @ (sK27 @ sF7 @ sF10) @ sK1)) | ($false = $true)),
% 58.83/9.72 inference(duplicate_literal_removal,[status(thm)],[f3394])).
% 58.83/9.72 thf(f3394,plain,(
% 58.83/9.72 ($true = (in @ (sK27 @ sF7 @ sF10) @ sK1)) | ($true = (subset @ sF10 @ sF7)) | ($false = $true) | ($true = (subset @ sF10 @ sF7))),
% 58.83/9.72 inference(superposition,[status(thm)],[f1287,f2477])).
% 58.83/9.72 thf(f2477,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ (sK27 @ X0 @ sF10) @ sK2)) | ((in @ (sK27 @ X0 @ sF10) @ sK1) = $true) | ($true = (subset @ sF10 @ X0))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f2459])).
% 58.83/9.72 thf(f2459,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (((in @ (sK27 @ X0 @ sF10) @ sK1) = $true) | ($true = (subset @ sF10 @ X0)) | ($false = $true) | ($true = (in @ (sK27 @ X0 @ sF10) @ sK2))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f332,f802])).
% 58.83/9.72 thf(f802,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ (sK27 @ X0 @ sF10) @ sF9)) | ($true = (subset @ sF10 @ X0))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f740])).
% 58.83/9.72 thf(f740,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ (sK27 @ X0 @ sF10) @ sF9)) | ($false = $true) | ($true = (subset @ sF10 @ X0))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f222,f441])).
% 58.83/9.72 thf(f441,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sF10)) | ($true = (in @ X0 @ sF9))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f430,f58])).
% 58.83/9.72 thf(f430,plain,(
% 58.83/9.72 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ (sF3 @ X0)) = $false) | ($true = (in @ X1 @ X0))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f224,f272])).
% 58.83/9.72 thf(f272,plain,(
% 58.83/9.72 ( ! [X1 : $i] : (((binintersect @ sK0 @ X1) = (sF3 @ X1))) )),
% 58.83/9.72 inference(argument_congruence,[status(thm)],[f51])).
% 58.83/9.72 thf(f224,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (in @ X1 @ (binintersect @ X2 @ X3))) | ((in @ X1 @ X3) = $true)) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f223])).
% 58.83/9.72 thf(f223,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = $true) | ((in @ X1 @ X3) = $true) | ($false = (in @ X1 @ (binintersect @ X2 @ X3)))) )),
% 58.83/9.72 inference(forward_demodulation,[status(thm)],[f152,f43])).
% 58.83/9.72 thf(f43,plain,(
% 58.83/9.72 (binintersectER = $true)),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f33])).
% 58.83/9.72 thf(f152,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ X3) = $true) | (binintersectER = $false) | ($false = (in @ X1 @ (binintersect @ X2 @ X3)))) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f151])).
% 58.83/9.72 thf(f151,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X1 @ (binintersect @ X2 @ X3)) => (in @ X1 @ X3)) = $true) | (binintersectER = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f150])).
% 58.83/9.72 thf(f150,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ X1 @ (binintersect @ X2 @ Y0)) => (in @ X1 @ Y0))) @ X3)) | (binintersectER = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f149])).
% 58.83/9.72 thf(f149,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (binintersect @ X2 @ Y0)) => (in @ X1 @ Y0))))) | (binintersectER = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f148])).
% 58.83/9.72 thf(f148,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : ((binintersectER = $false) | ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (binintersect @ Y0 @ Y1)) => (in @ X1 @ Y1))))) @ X2))) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f147])).
% 58.83/9.72 thf(f147,plain,(
% 58.83/9.72 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (binintersect @ Y0 @ Y1)) => (in @ X1 @ Y1))))))) | (binintersectER = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f146])).
% 58.83/9.72 thf(f146,plain,(
% 58.83/9.72 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (binintersect @ Y1 @ Y2)) => (in @ Y0 @ Y2))))))) @ X1) = $true) | (binintersectER = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f145])).
% 58.83/9.72 thf(f145,plain,(
% 58.83/9.72 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (binintersect @ Y1 @ Y2)) => (in @ Y0 @ Y2))))))))) | (binintersectER = $false)),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f47])).
% 58.83/9.72 thf(f47,plain,(
% 58.83/9.72 (binintersectER = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (binintersect @ Y1 @ Y2)) => (in @ Y0 @ Y2)))))))))),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f21])).
% 58.83/9.72 thf(f21,plain,(
% 58.83/9.72 (binintersectER = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (binintersect @ Y1 @ Y2)) => (in @ Y0 @ Y2)))))))))),
% 58.83/9.72 inference(fool_elimination,[status(thm)],[f20])).
% 58.83/9.72 thf(f20,plain,(
% 58.83/9.72 (binintersectER = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ (binintersect @ X1 @ X0)) => (in @ X2 @ X0)))),
% 58.83/9.72 inference(rectify,[status(thm)],[f8])).
% 58.83/9.72 thf(f8,axiom,(
% 58.83/9.72 (binintersectER = ! [X1 : $i,X0 : $i,X2 : $i] : ((in @ X2 @ (binintersect @ X0 @ X1)) => (in @ X2 @ X1)))),
% 58.83/9.72 file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',binintersectER)).
% 58.83/9.72 thf(f222,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($true = (in @ (sK27 @ X1 @ X2) @ X2)) | ($true = (subset @ X2 @ X1))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f221])).
% 58.83/9.72 thf(f221,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($true = (subset @ X2 @ X1)) | ($false = $true) | ($true = (in @ (sK27 @ X1 @ X2) @ X2))) )),
% 58.83/9.72 inference(forward_demodulation,[status(thm)],[f171,f35])).
% 58.83/9.72 thf(f35,plain,(
% 58.83/9.72 (subsetI1 = $true)),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f33])).
% 58.83/9.72 thf(f171,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : ((subsetI1 = $false) | ($true = (in @ (sK27 @ X1 @ X2) @ X2)) | ($true = (subset @ X2 @ X1))) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f169])).
% 58.83/9.72 thf(f169,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($true = (subset @ X2 @ X1)) | ($false = ((in @ (sK27 @ X1 @ X2) @ X2) => (in @ (sK27 @ X1 @ X2) @ X1))) | (subsetI1 = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f168])).
% 58.83/9.72 thf(f168,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : ((subsetI1 = $false) | ($false = ((^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1))) @ (sK27 @ X1 @ X2))) | ($true = (subset @ X2 @ X1))) )),
% 58.83/9.72 inference(sigma_clausification,[status(thm)],[f167])).
% 58.83/9.72 thf(f167,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1))))) | (subsetI1 = $false) | ($true = (subset @ X2 @ X1))) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f166])).
% 58.83/9.72 thf(f166,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : ((subsetI1 = $false) | (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1)))) => (subset @ X2 @ X1)) = $true)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f165])).
% 58.83/9.72 thf(f165,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))) => (subset @ Y0 @ X1))) @ X2) = $true) | (subsetI1 = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f164])).
% 58.83/9.72 thf(f164,plain,(
% 58.83/9.72 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))) => (subset @ Y0 @ X1))))) | (subsetI1 = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f163])).
% 58.83/9.72 thf(f163,plain,(
% 58.83/9.72 ( ! [X1 : $i] : ((subsetI1 = $false) | ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (subset @ Y1 @ Y0))))) @ X1))) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f162])).
% 58.83/9.72 thf(f162,plain,(
% 58.83/9.72 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (subset @ Y1 @ Y0))))))) | (subsetI1 = $false)),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f34])).
% 58.83/9.72 thf(f34,plain,(
% 58.83/9.72 (subsetI1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (subset @ Y1 @ Y0)))))))),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f25])).
% 58.83/9.72 thf(f25,plain,(
% 58.83/9.72 (subsetI1 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (subset @ Y1 @ Y0)))))))),
% 58.83/9.72 inference(fool_elimination,[status(thm)],[f24])).
% 58.83/9.72 thf(f24,plain,(
% 58.83/9.72 (subsetI1 = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 58.83/9.72 inference(rectify,[status(thm)],[f1])).
% 58.83/9.72 thf(f1,axiom,(
% 58.83/9.72 (subsetI1 = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 58.83/9.72 file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',subsetI1)).
% 58.83/9.72 thf(f332,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sF9)) | ($true = (in @ X0 @ sK1)) | ($true = (in @ X0 @ sK2))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f299,f57])).
% 58.83/9.72 thf(f299,plain,(
% 58.83/9.72 ( ! [X0 : $i,X1 : $i] : (($false = (in @ X1 @ (sF8 @ X0))) | ($true = (in @ X1 @ sK2)) | ($true = (in @ X1 @ X0))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f248,f278])).
% 58.83/9.72 thf(f278,plain,(
% 58.83/9.72 ( ! [X1 : $i] : (((binunion @ sK2 @ X1) = (sF8 @ X1))) )),
% 58.83/9.72 inference(argument_congruence,[status(thm)],[f56])).
% 58.83/9.72 thf(f248,plain,(
% 58.83/9.72 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (in @ X0 @ (binunion @ X2 @ X1))) | ($true = (in @ X0 @ X2)) | ($true = (in @ X0 @ X1))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f245])).
% 58.83/9.72 thf(f245,plain,(
% 58.83/9.72 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true = (in @ X0 @ X2)) | ($false = (in @ X0 @ (binunion @ X2 @ X1))) | ($true = (in @ X0 @ X1))) )),
% 58.83/9.72 inference(equality_factoring,[status(thm)],[f228])).
% 58.83/9.72 thf(f228,plain,(
% 58.83/9.72 ( ! [X2 : $o,X3 : $i,X1 : $i,X4 : $i] : (($false = (in @ X3 @ (binunion @ X1 @ X4))) | ($true = X2) | ((in @ X3 @ X4) = $true) | ($true = (in @ X3 @ X1))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f227])).
% 58.83/9.72 thf(f227,plain,(
% 58.83/9.72 ( ! [X2 : $o,X3 : $i,X1 : $i,X4 : $i] : (($true = X2) | ($false = (in @ X3 @ (binunion @ X1 @ X4))) | ($false = $true) | ($true = (in @ X3 @ X1)) | ((in @ X3 @ X4) = $true)) )),
% 58.83/9.72 inference(backward_demodulation,[status(thm)],[f127,f37])).
% 58.83/9.72 thf(f37,plain,(
% 58.83/9.72 (binunionEcases = $true)),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f33])).
% 58.83/9.72 thf(f127,plain,(
% 58.83/9.72 ( ! [X2 : $o,X3 : $i,X1 : $i,X4 : $i] : (((in @ X3 @ X4) = $true) | ($true = (in @ X3 @ X1)) | ($true = X2) | ($false = (in @ X3 @ (binunion @ X1 @ X4))) | (binunionEcases = $false)) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f125])).
% 58.83/9.72 thf(f125,plain,(
% 58.83/9.72 ( ! [X2 : $o,X3 : $i,X1 : $i,X4 : $i] : (($true = (in @ X3 @ X1)) | ($false = (in @ X3 @ (binunion @ X1 @ X4))) | ($false = ((in @ X3 @ X4) => X2)) | ($true = X2) | (binunionEcases = $false)) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f123])).
% 58.83/9.72 thf(f123,plain,(
% 58.83/9.72 ( ! [X2 : $o,X3 : $i,X1 : $i,X4 : $i] : ((binunionEcases = $false) | ($false = ((in @ X3 @ X1) => X2)) | ($true = X2) | ($false = ((in @ X3 @ X4) => X2)) | ($false = (in @ X3 @ (binunion @ X1 @ X4)))) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f122])).
% 58.83/9.72 thf(f122,plain,(
% 58.83/9.72 ( ! [X2 : $o,X3 : $i,X1 : $i,X4 : $i] : (($true = (((in @ X3 @ X4) => X2) => X2)) | (binunionEcases = $false) | ($false = (in @ X3 @ (binunion @ X1 @ X4))) | ($false = ((in @ X3 @ X1) => X2))) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f121])).
% 58.83/9.72 thf(f121,plain,(
% 58.83/9.72 ( ! [X2 : $o,X3 : $i,X1 : $i,X4 : $i] : (($false = (in @ X3 @ (binunion @ X1 @ X4))) | (binunionEcases = $false) | ((((in @ X3 @ X1) => X2) => (((in @ X3 @ X4) => X2) => X2)) = $true)) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f120])).
% 58.83/9.72 thf(f120,plain,(
% 58.83/9.72 ( ! [X2 : $o,X3 : $i,X1 : $i,X4 : $i] : ((((in @ X3 @ (binunion @ X1 @ X4)) => (((in @ X3 @ X1) => X2) => (((in @ X3 @ X4) => X2) => X2))) = $true) | (binunionEcases = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f119])).
% 58.83/9.72 thf(f119,plain,(
% 58.83/9.72 ( ! [X2 : $o,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((in @ X3 @ (binunion @ X1 @ Y0)) => (((in @ X3 @ X1) => X2) => (((in @ X3 @ Y0) => X2) => X2)))) @ X4) = $true) | (binunionEcases = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f118])).
% 58.83/9.72 thf(f118,plain,(
% 58.83/9.72 ( ! [X2 : $o,X3 : $i,X1 : $i] : ((binunionEcases = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X3 @ (binunion @ X1 @ Y0)) => (((in @ X3 @ X1) => X2) => (((in @ X3 @ Y0) => X2) => X2))))) = $true)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f117])).
% 58.83/9.72 thf(f117,plain,(
% 58.83/9.72 ( ! [X2 : $o,X3 : $i,X1 : $i] : ((binunionEcases = $false) | ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (binunion @ X1 @ Y1)) => (((in @ Y0 @ X1) => X2) => (((in @ Y0 @ Y1) => X2) => X2)))))) @ X3))) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f116])).
% 58.83/9.72 thf(f116,plain,(
% 58.83/9.72 ( ! [X2 : $o,X1 : $i] : ((binunionEcases = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (binunion @ X1 @ Y1)) => (((in @ Y0 @ X1) => X2) => (((in @ Y0 @ Y1) => X2) => X2))))))))) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f115])).
% 58.83/9.72 thf(f115,plain,(
% 58.83/9.72 ( ! [X2 : $o,X1 : $i] : (($true = ((^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (binunion @ X1 @ Y2)) => (((in @ Y1 @ X1) => Y0) => (((in @ Y1 @ Y2) => Y0) => Y0)))))))) @ X2)) | (binunionEcases = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f114])).
% 58.83/9.72 thf(f114,plain,(
% 58.83/9.72 ( ! [X1 : $i] : (($true = (!! @ $o @ (^[Y0 : $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (binunion @ X1 @ Y2)) => (((in @ Y1 @ X1) => Y0) => (((in @ Y1 @ Y2) => Y0) => Y0)))))))))) | (binunionEcases = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f113])).
% 58.83/9.72 thf(f113,plain,(
% 58.83/9.72 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y2 @ (binunion @ Y0 @ Y3)) => (((in @ Y2 @ Y0) => Y1) => (((in @ Y2 @ Y3) => Y1) => Y1)))))))))) @ X1) = $true) | (binunionEcases = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f112])).
% 58.83/9.72 thf(f112,plain,(
% 58.83/9.72 (binunionEcases = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y2 @ (binunion @ Y0 @ Y3)) => (((in @ Y2 @ Y0) => Y1) => (((in @ Y2 @ Y3) => Y1) => Y1))))))))))))),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f49])).
% 58.83/9.72 thf(f49,plain,(
% 58.83/9.72 (binunionEcases = (!! @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y2 @ (binunion @ Y0 @ Y3)) => (((in @ Y2 @ Y0) => Y1) => (((in @ Y2 @ Y3) => Y1) => Y1))))))))))))),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f27])).
% 58.83/9.72 thf(f27,plain,(
% 58.83/9.72 (binunionEcases = (!! @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y2 @ (binunion @ Y0 @ Y3)) => (((in @ Y2 @ Y0) => Y1) => (((in @ Y2 @ Y3) => Y1) => Y1))))))))))))),
% 58.83/9.72 inference(fool_elimination,[status(thm)],[f26])).
% 58.83/9.72 thf(f26,plain,(
% 58.83/9.72 (! [X0 : $i,X1 : $i,X2 : $o,X3 : $i] : ((in @ X1 @ (binunion @ X3 @ X0)) => (((in @ X1 @ X3) => X2) => (((in @ X1 @ X0) => X2) => X2))) = binunionEcases)),
% 58.83/9.72 inference(rectify,[status(thm)],[f5])).
% 58.83/9.72 thf(f5,axiom,(
% 58.83/9.72 (! [X1 : $i,X2 : $i,X3 : $o,X0 : $i] : ((in @ X2 @ (binunion @ X0 @ X1)) => (((in @ X2 @ X0) => X3) => (((in @ X2 @ X1) => X3) => X3))) = binunionEcases)),
% 58.83/9.72 file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',binunionEcases)).
% 58.83/9.72 thf(f1287,plain,(
% 58.83/9.72 ((in @ (sK27 @ sF7 @ sF10) @ sK2) = $false) | ($true = (subset @ sF10 @ sF7))),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f1286])).
% 58.83/9.72 thf(f1286,plain,(
% 58.83/9.72 ((in @ (sK27 @ sF7 @ sF10) @ sK2) = $false) | ($false = $true) | ($true = (subset @ sF10 @ sF7))),
% 58.83/9.72 inference(duplicate_literal_removal,[status(thm)],[f1271])).
% 58.83/9.72 thf(f1271,plain,(
% 58.83/9.72 ($false = $true) | ($true = (subset @ sF10 @ sF7)) | ((in @ (sK27 @ sF7 @ sF10) @ sK2) = $false) | ($true = (subset @ sF10 @ sF7))),
% 58.83/9.72 inference(superposition,[status(thm)],[f808,f710])).
% 58.83/9.72 thf(f710,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ (sK27 @ sF7 @ X0) @ sF4)) | ($true = (subset @ X0 @ sF7))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f674])).
% 58.83/9.72 thf(f674,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ (sK27 @ sF7 @ X0) @ sF4)) | ($false = $true) | ($true = (subset @ X0 @ sF7))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f616,f220])).
% 58.83/9.72 thf(f220,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($false = (in @ (sK27 @ X1 @ X2) @ X1)) | ($true = (subset @ X2 @ X1))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f219])).
% 58.83/9.72 thf(f219,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($true = (subset @ X2 @ X1)) | ($false = (in @ (sK27 @ X1 @ X2) @ X1)) | ($false = $true)) )),
% 58.83/9.72 inference(forward_demodulation,[status(thm)],[f170,f35])).
% 58.83/9.72 thf(f170,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : ((subsetI1 = $false) | ($false = (in @ (sK27 @ X1 @ X2) @ X1)) | ($true = (subset @ X2 @ X1))) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f169])).
% 58.83/9.72 thf(f616,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ X0 @ sF7)) | ($false = (in @ X0 @ sF4))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f573,f55])).
% 58.83/9.72 thf(f573,plain,(
% 58.83/9.72 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ (sF5 @ X0)) = $true) | ((in @ X1 @ sF4) = $false)) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f236,f273])).
% 58.83/9.72 thf(f273,plain,(
% 58.83/9.72 ( ! [X1 : $i] : (((binunion @ sF4 @ X1) = (sF5 @ X1))) )),
% 58.83/9.72 inference(argument_congruence,[status(thm)],[f53])).
% 58.83/9.72 thf(f236,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ (binunion @ X2 @ X1)) = $true) | ($false = (in @ X3 @ X2))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f235])).
% 58.83/9.72 thf(f235,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ (binunion @ X2 @ X1)) = $true) | ($false = (in @ X3 @ X2)) | ($false = $true)) )),
% 58.83/9.72 inference(backward_demodulation,[status(thm)],[f85,f41])).
% 58.83/9.72 thf(f41,plain,(
% 58.83/9.72 (binunionIL = $true)),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f33])).
% 58.83/9.72 thf(f85,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (in @ X3 @ X2)) | ((in @ X3 @ (binunion @ X2 @ X1)) = $true) | (binunionIL = $false)) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f84])).
% 58.83/9.72 thf(f84,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((binunionIL = $false) | (((in @ X3 @ X2) => (in @ X3 @ (binunion @ X2 @ X1))) = $true)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f83])).
% 58.83/9.72 thf(f83,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ (binunion @ X2 @ X1)))) @ X3)) | (binunionIL = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f82])).
% 58.83/9.72 thf(f82,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ (binunion @ X2 @ X1)))))) | (binunionIL = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f81])).
% 58.83/9.72 thf(f81,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ (binunion @ Y0 @ X1)))))) @ X2)) | (binunionIL = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f80])).
% 58.83/9.72 thf(f80,plain,(
% 58.83/9.72 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ (binunion @ Y0 @ X1))))))) = $true) | (binunionIL = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f79])).
% 58.83/9.72 thf(f79,plain,(
% 58.83/9.72 ( ! [X1 : $i] : ((binunionIL = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ (binunion @ Y1 @ Y0)))))))) @ X1) = $true)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f78])).
% 58.83/9.72 thf(f78,plain,(
% 58.83/9.72 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ (binunion @ Y1 @ Y0)))))))))) | (binunionIL = $false)),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f50])).
% 58.83/9.72 thf(f50,plain,(
% 58.83/9.72 (binunionIL = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ (binunion @ Y1 @ Y0))))))))))),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f15])).
% 58.83/9.72 thf(f15,plain,(
% 58.83/9.72 (binunionIL = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ (binunion @ Y1 @ Y0))))))))))),
% 58.83/9.72 inference(fool_elimination,[status(thm)],[f14])).
% 58.83/9.72 thf(f14,plain,(
% 58.83/9.72 (binunionIL = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X0 @ X1) => (in @ X0 @ (binunion @ X1 @ X2))))),
% 58.83/9.72 inference(rectify,[status(thm)],[f3])).
% 58.83/9.72 thf(f3,axiom,(
% 58.83/9.72 (binunionIL = ! [X2 : $i,X0 : $i,X1 : $i] : ((in @ X2 @ X0) => (in @ X2 @ (binunion @ X0 @ X1))))),
% 58.83/9.72 file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',binunionIL)).
% 58.83/9.72 thf(f808,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ (sK27 @ X0 @ sF10) @ sF4)) | ($true = (subset @ sF10 @ X0)) | ($false = (in @ (sK27 @ X0 @ sF10) @ sK2))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f738])).
% 58.83/9.72 thf(f738,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (subset @ sF10 @ X0)) | ($false = (in @ (sK27 @ X0 @ sF10) @ sK2)) | ($true = (in @ (sK27 @ X0 @ sF10) @ sF4)) | ($false = $true)) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f222,f525])).
% 58.83/9.72 thf(f525,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sF10)) | ($true = (in @ X0 @ sF4)) | ($false = (in @ X0 @ sK2))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f519])).
% 58.83/9.72 thf(f519,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ X0 @ sF4)) | ($false = (in @ X0 @ sK2)) | ($false = (in @ X0 @ sF10)) | ($false = $true)) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f290,f473])).
% 58.83/9.72 thf(f473,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ X0 @ sK0)) | ($false = (in @ X0 @ sF10))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f462,f58])).
% 58.83/9.72 thf(f462,plain,(
% 58.83/9.72 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ (sF3 @ X0)) = $false) | ($true = (in @ X1 @ sK0))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f226,f272])).
% 58.83/9.72 thf(f226,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ (binintersect @ X1 @ X2)) = $false) | ($true = (in @ X3 @ X1))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f225])).
% 58.83/9.72 thf(f225,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ (binintersect @ X1 @ X2)) = $false) | ($true = (in @ X3 @ X1)) | ($false = $true)) )),
% 58.83/9.72 inference(forward_demodulation,[status(thm)],[f102,f40])).
% 58.83/9.72 thf(f40,plain,(
% 58.83/9.72 (binintersectEL = $true)),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f33])).
% 58.83/9.72 thf(f102,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ (binintersect @ X1 @ X2)) = $false) | ($true = (in @ X3 @ X1)) | (binintersectEL = $false)) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f101])).
% 58.83/9.72 thf(f101,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ X3 @ (binintersect @ X1 @ X2)) => (in @ X3 @ X1))) | (binintersectEL = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f100])).
% 58.83/9.72 thf(f100,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ (binintersect @ X1 @ X2)) => (in @ Y0 @ X1))) @ X3)) | (binintersectEL = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f99])).
% 58.83/9.72 thf(f99,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (binintersect @ X1 @ X2)) => (in @ Y0 @ X1)))) = $true) | (binintersectEL = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f98])).
% 58.83/9.72 thf(f98,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (binintersect @ X1 @ Y0)) => (in @ Y1 @ X1))))) @ X2)) | (binintersectEL = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f97])).
% 58.83/9.72 thf(f97,plain,(
% 58.83/9.72 ( ! [X1 : $i] : ((binintersectEL = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (binintersect @ X1 @ Y0)) => (in @ Y1 @ X1)))))))) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f96])).
% 58.83/9.72 thf(f96,plain,(
% 58.83/9.72 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (binintersect @ Y0 @ Y1)) => (in @ Y2 @ Y0))))))) @ X1)) | (binintersectEL = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f95])).
% 58.83/9.72 thf(f95,plain,(
% 58.83/9.72 (binintersectEL = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (binintersect @ Y0 @ Y1)) => (in @ Y2 @ Y0)))))))) = $true)),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f45])).
% 58.83/9.72 thf(f45,plain,(
% 58.83/9.72 (binintersectEL = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (binintersect @ Y0 @ Y1)) => (in @ Y2 @ Y0)))))))))),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f17])).
% 58.83/9.72 thf(f17,plain,(
% 58.83/9.72 (binintersectEL = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (binintersect @ Y0 @ Y1)) => (in @ Y2 @ Y0)))))))))),
% 58.83/9.72 inference(fool_elimination,[status(thm)],[f16])).
% 58.83/9.72 thf(f16,plain,(
% 58.83/9.72 (binintersectEL = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X0 @ (binintersect @ X2 @ X1)) => (in @ X0 @ X2)))),
% 58.83/9.72 inference(rectify,[status(thm)],[f7])).
% 58.83/9.72 thf(f7,axiom,(
% 58.83/9.72 (binintersectEL = ! [X2 : $i,X1 : $i,X0 : $i] : ((in @ X2 @ (binintersect @ X0 @ X1)) => (in @ X2 @ X0)))),
% 58.83/9.72 file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',binintersectEL)).
% 58.83/9.72 thf(f290,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sK0)) | ($true = (in @ X0 @ sF4)) | ($false = (in @ X0 @ sK2))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f289,f52])).
% 58.83/9.72 thf(f289,plain,(
% 58.83/9.72 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ (sF3 @ X0)) = $true) | ($false = (in @ X1 @ sK0)) | ($false = (in @ X1 @ X0))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f234,f272])).
% 58.83/9.72 thf(f234,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (in @ X3 @ (binintersect @ X2 @ X1))) | ($false = (in @ X3 @ X1)) | ($false = (in @ X3 @ X2))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f233])).
% 58.83/9.72 thf(f233,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (in @ X3 @ X1)) | ($false = (in @ X3 @ X2)) | ($false = $true) | ($true = (in @ X3 @ (binintersect @ X2 @ X1)))) )),
% 58.83/9.72 inference(backward_demodulation,[status(thm)],[f190,f36])).
% 58.83/9.72 thf(f36,plain,(
% 58.83/9.72 (binintersectI = $true)),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f33])).
% 58.83/9.72 thf(f190,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (in @ X3 @ X2)) | ($false = (in @ X3 @ X1)) | (binintersectI = $false) | ($true = (in @ X3 @ (binintersect @ X2 @ X1)))) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f189])).
% 58.83/9.72 thf(f189,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ X3 @ X1) => (in @ X3 @ (binintersect @ X2 @ X1)))) | (binintersectI = $false) | ($false = (in @ X3 @ X2))) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f188])).
% 58.83/9.72 thf(f188,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((binintersectI = $false) | ($true = ((in @ X3 @ X2) => ((in @ X3 @ X1) => (in @ X3 @ (binintersect @ X2 @ X1)))))) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f187])).
% 58.83/9.72 thf(f187,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((binintersectI = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ X2) => ((in @ Y0 @ X1) => (in @ Y0 @ (binintersect @ X2 @ X1))))) @ X3))) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f186])).
% 58.83/9.72 thf(f186,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => ((in @ Y0 @ X1) => (in @ Y0 @ (binintersect @ X2 @ X1))))))) | (binintersectI = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f185])).
% 58.83/9.72 thf(f185,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => ((in @ Y1 @ X1) => (in @ Y1 @ (binintersect @ Y0 @ X1))))))) @ X2)) | (binintersectI = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f184])).
% 58.83/9.72 thf(f184,plain,(
% 58.83/9.72 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => ((in @ Y1 @ X1) => (in @ Y1 @ (binintersect @ Y0 @ X1)))))))) = $true) | (binintersectI = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f183])).
% 58.83/9.72 thf(f183,plain,(
% 58.83/9.72 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((in @ Y2 @ Y0) => (in @ Y2 @ (binintersect @ Y1 @ Y0))))))))) @ X1)) | (binintersectI = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f182])).
% 58.83/9.72 thf(f182,plain,(
% 58.83/9.72 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((in @ Y2 @ Y0) => (in @ Y2 @ (binintersect @ Y1 @ Y0))))))))))) | (binintersectI = $false)),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f46])).
% 58.83/9.72 thf(f46,plain,(
% 58.83/9.72 (binintersectI = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((in @ Y2 @ Y0) => (in @ Y2 @ (binintersect @ Y1 @ Y0)))))))))))),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f29])).
% 58.83/9.72 thf(f29,plain,(
% 58.83/9.72 (binintersectI = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => ((in @ Y2 @ Y0) => (in @ Y2 @ (binintersect @ Y1 @ Y0)))))))))))),
% 58.83/9.72 inference(fool_elimination,[status(thm)],[f28])).
% 58.83/9.72 thf(f28,plain,(
% 58.83/9.72 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X0 @ X1) => ((in @ X0 @ X2) => (in @ X0 @ (binintersect @ X1 @ X2)))) = binintersectI)),
% 58.83/9.72 inference(rectify,[status(thm)],[f6])).
% 58.83/9.72 thf(f6,axiom,(
% 58.83/9.72 (! [X2 : $i,X0 : $i,X1 : $i] : ((in @ X2 @ X0) => ((in @ X2 @ X1) => (in @ X2 @ (binintersect @ X0 @ X1)))) = binintersectI)),
% 58.83/9.72 file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',binintersectI)).
% 58.83/9.72 thf(f1013,plain,(
% 58.83/9.72 ($false = (in @ (sK27 @ sF7 @ sF10) @ sK1)) | ($true = (subset @ sF10 @ sF7))),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f1012])).
% 58.83/9.72 thf(f1012,plain,(
% 58.83/9.72 ($false = (in @ (sK27 @ sF7 @ sF10) @ sK1)) | ($true = (subset @ sF10 @ sF7)) | ($false = $true)),
% 58.83/9.72 inference(duplicate_literal_removal,[status(thm)],[f992])).
% 58.83/9.72 thf(f992,plain,(
% 58.83/9.72 ($true = (subset @ sF10 @ sF7)) | ($true = (subset @ sF10 @ sF7)) | ($false = (in @ (sK27 @ sF7 @ sF10) @ sK1)) | ($false = $true)),
% 58.83/9.72 inference(superposition,[status(thm)],[f793,f691])).
% 58.83/9.72 thf(f691,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (((in @ (sK27 @ sF7 @ X0) @ sF6) = $false) | ($true = (subset @ X0 @ sF7))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f655])).
% 58.83/9.72 thf(f655,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (((in @ (sK27 @ sF7 @ X0) @ sF6) = $false) | ($false = $true) | ($true = (subset @ X0 @ sF7))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f220,f552])).
% 58.83/9.72 thf(f552,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ X0 @ sF7)) | ($false = (in @ X0 @ sF6))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f530,f55])).
% 58.83/9.72 thf(f530,plain,(
% 58.83/9.72 ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ (sF5 @ X0)) = $true) | ($false = (in @ X1 @ X0))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f232,f273])).
% 58.83/9.72 thf(f232,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ (binunion @ X3 @ X2)) = $true) | ($false = (in @ X1 @ X2))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f231])).
% 58.83/9.72 thf(f231,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ (binunion @ X3 @ X2)) = $true) | ($false = $true) | ($false = (in @ X1 @ X2))) )),
% 58.83/9.72 inference(forward_demodulation,[status(thm)],[f68,f42])).
% 58.83/9.72 thf(f42,plain,(
% 58.83/9.72 (binunionIR = $true)),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f33])).
% 58.83/9.72 thf(f68,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ (binunion @ X3 @ X2)) = $true) | (binunionIR = $false) | ($false = (in @ X1 @ X2))) )),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f67])).
% 58.83/9.72 thf(f67,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ X1 @ X2) => (in @ X1 @ (binunion @ X3 @ X2)))) | (binunionIR = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f66])).
% 58.83/9.72 thf(f66,plain,(
% 58.83/9.72 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ X1 @ X2) => (in @ X1 @ (binunion @ Y0 @ X2)))) @ X3) = $true) | (binunionIR = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f65])).
% 58.83/9.72 thf(f65,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : ((binunionIR = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ X2) => (in @ X1 @ (binunion @ Y0 @ X2))))))) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f64])).
% 58.83/9.72 thf(f64,plain,(
% 58.83/9.72 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ Y0) => (in @ X1 @ (binunion @ Y1 @ Y0)))))) @ X2) = $true) | (binunionIR = $false)) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f63])).
% 58.83/9.72 thf(f63,plain,(
% 58.83/9.72 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ Y0) => (in @ X1 @ (binunion @ Y1 @ Y0)))))))) | (binunionIR = $false)) )),
% 58.83/9.72 inference(beta_eta_normalization,[status(thm)],[f62])).
% 58.83/9.72 thf(f62,plain,(
% 58.83/9.72 ( ! [X1 : $i] : ((binunionIR = $false) | ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ Y1) => (in @ Y0 @ (binunion @ Y2 @ Y1)))))))) @ X1))) )),
% 58.83/9.72 inference(pi_clausification,[status(thm)],[f61])).
% 58.83/9.72 thf(f61,plain,(
% 58.83/9.72 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ Y1) => (in @ Y0 @ (binunion @ Y2 @ Y1)))))))))) | (binunionIR = $false)),
% 58.83/9.72 inference(binary_proxy_clausification,[status(thm)],[f44])).
% 58.83/9.72 thf(f44,plain,(
% 58.83/9.72 (binunionIR = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ Y1) => (in @ Y0 @ (binunion @ Y2 @ Y1))))))))))),
% 58.83/9.72 inference(cnf_transformation,[status(thm)],[f13])).
% 58.83/9.72 thf(f13,plain,(
% 58.83/9.72 (binunionIR = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ Y1) => (in @ Y0 @ (binunion @ Y2 @ Y1))))))))))),
% 58.83/9.72 inference(fool_elimination,[status(thm)],[f12])).
% 58.83/9.72 thf(f12,plain,(
% 58.83/9.72 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ (binunion @ X0 @ X1))) = binunionIR)),
% 58.83/9.72 inference(rectify,[status(thm)],[f4])).
% 58.83/9.72 thf(f4,axiom,(
% 58.83/9.72 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X2 @ X1) => (in @ X2 @ (binunion @ X0 @ X1))) = binunionIR)),
% 58.83/9.72 file('/export/starexec/sandbox/tmp/tmp.gpTkdrkvyb/DTF2THF_3093.p',binunionIR)).
% 58.83/9.72 thf(f793,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (((in @ (sK27 @ X0 @ sF10) @ sF6) = $true) | ((in @ (sK27 @ X0 @ sF10) @ sK1) = $false) | ($true = (subset @ sF10 @ X0))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f739])).
% 58.83/9.72 thf(f739,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (((in @ (sK27 @ X0 @ sF10) @ sK1) = $false) | ($true = (subset @ sF10 @ X0)) | ($false = $true) | ((in @ (sK27 @ X0 @ sF10) @ sF6) = $true)) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f222,f524])).
% 58.83/9.72 thf(f524,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sF10)) | ($false = (in @ X0 @ sK1)) | ($true = (in @ X0 @ sF6))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f518])).
% 58.83/9.72 thf(f518,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sK1)) | ($false = (in @ X0 @ sF10)) | ($true = (in @ X0 @ sF6)) | ($false = $true)) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f291,f473])).
% 58.83/9.72 thf(f291,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sK0)) | ($true = (in @ X0 @ sF6)) | ($false = (in @ X0 @ sK1))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f289,f54])).
% 58.83/9.72 thf(f1445,plain,(
% 58.83/9.72 ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $false) | ($true = (subset @ sF7 @ sF10))),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f1444])).
% 58.83/9.72 thf(f1444,plain,(
% 58.83/9.72 ($true = (subset @ sF7 @ sF10)) | ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $false) | ($false = $true)),
% 58.83/9.72 inference(duplicate_literal_removal,[status(thm)],[f1433])).
% 58.83/9.72 thf(f1433,plain,(
% 58.83/9.72 ($true = (subset @ sF7 @ sF10)) | ($true = (subset @ sF7 @ sF10)) | ($false = $true) | ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $false) | ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $false)),
% 58.83/9.72 inference(superposition,[status(thm)],[f912,f1259])).
% 58.83/9.72 thf(f1259,plain,(
% 58.83/9.72 ($true = (in @ (sK27 @ sF10 @ sF7) @ sF4)) | ($true = (subset @ sF7 @ sF10)) | ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $false)),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f1258])).
% 58.83/9.72 thf(f1258,plain,(
% 58.83/9.72 ($true = (in @ (sK27 @ sF10 @ sF7) @ sF4)) | ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $false) | ($false = $true) | ($true = (subset @ sF7 @ sF10))),
% 58.83/9.72 inference(duplicate_literal_removal,[status(thm)],[f1225])).
% 58.83/9.72 thf(f1225,plain,(
% 58.83/9.72 ($true = (in @ (sK27 @ sF10 @ sF7) @ sF4)) | ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $false) | ($false = $true) | ($true = (subset @ sF7 @ sF10)) | ($true = (subset @ sF7 @ sF10))),
% 58.83/9.72 inference(superposition,[status(thm)],[f787,f937])).
% 58.83/9.72 thf(f937,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (((in @ (sK27 @ sF10 @ X0) @ sF6) = $false) | ($true = (subset @ X0 @ sF10)) | ($false = (in @ (sK27 @ sF10 @ X0) @ sK1))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f927])).
% 58.83/9.72 thf(f927,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ (sK27 @ sF10 @ X0) @ sK1)) | ($false = $true) | ((in @ (sK27 @ sF10 @ X0) @ sF6) = $false) | ($true = (subset @ X0 @ sF10))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f603,f715])).
% 58.83/9.72 thf(f715,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ (sK27 @ sF10 @ X0) @ sF9)) | ((in @ (sK27 @ sF10 @ X0) @ sF6) = $false) | ($true = (subset @ X0 @ sF10))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f658])).
% 58.83/9.72 thf(f658,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (((in @ (sK27 @ sF10 @ X0) @ sF6) = $false) | ($false = (in @ (sK27 @ sF10 @ X0) @ sF9)) | ($false = $true) | ($true = (subset @ X0 @ sF10))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f220,f507])).
% 58.83/9.72 thf(f507,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ X0 @ sF10)) | ($false = (in @ X0 @ sF6)) | ($false = (in @ X0 @ sF9))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f501])).
% 58.83/9.72 thf(f501,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = $true) | ($true = (in @ X0 @ sF10)) | ($false = (in @ X0 @ sF9)) | ($false = (in @ X0 @ sF6))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f292,f472])).
% 58.83/9.72 thf(f472,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ X0 @ sK0)) | ($false = (in @ X0 @ sF6))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f462,f54])).
% 58.83/9.72 thf(f292,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sK0)) | ($true = (in @ X0 @ sF10)) | ($false = (in @ X0 @ sF9))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f289,f58])).
% 58.83/9.72 thf(f603,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ X0 @ sF9)) | ($false = (in @ X0 @ sK1))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f531,f57])).
% 58.83/9.72 thf(f531,plain,(
% 58.83/9.72 ( ! [X0 : $i,X1 : $i] : (($true = (in @ X1 @ (sF8 @ X0))) | ($false = (in @ X1 @ X0))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f232,f278])).
% 58.83/9.72 thf(f787,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ (sK27 @ X0 @ sF7) @ sF6)) | ($true = (in @ (sK27 @ X0 @ sF7) @ sF4)) | ($true = (subset @ sF7 @ X0))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f759])).
% 58.83/9.72 thf(f759,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ (sK27 @ X0 @ sF7) @ sF6)) | ($false = $true) | ($true = (in @ (sK27 @ X0 @ sF7) @ sF4)) | ($true = (subset @ sF7 @ X0))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f321,f222])).
% 58.83/9.72 thf(f321,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sF7)) | ($true = (in @ X0 @ sF4)) | ($true = (in @ X0 @ sF6))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f294,f55])).
% 58.83/9.72 thf(f294,plain,(
% 58.83/9.72 ( ! [X0 : $i,X1 : $i] : (($false = (in @ X1 @ (sF5 @ X0))) | ((in @ X1 @ sF4) = $true) | ($true = (in @ X1 @ X0))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f248,f273])).
% 58.83/9.72 thf(f912,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (((in @ (sK27 @ sF10 @ X0) @ sF4) = $false) | ($false = (in @ (sK27 @ sF10 @ X0) @ sK1)) | ($true = (subset @ X0 @ sF10))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f900])).
% 58.83/9.72 thf(f900,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = $true) | ($false = (in @ (sK27 @ sF10 @ X0) @ sK1)) | ($true = (subset @ X0 @ sF10)) | ((in @ (sK27 @ sF10 @ X0) @ sF4) = $false)) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f705,f603])).
% 58.83/9.72 thf(f705,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ (sK27 @ sF10 @ X0) @ sF9)) | ($true = (subset @ X0 @ sF10)) | ((in @ (sK27 @ sF10 @ X0) @ sF4) = $false)) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f659])).
% 58.83/9.72 thf(f659,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = $true) | ($false = (in @ (sK27 @ sF10 @ X0) @ sF9)) | ((in @ (sK27 @ sF10 @ X0) @ sF4) = $false) | ($true = (subset @ X0 @ sF10))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f220,f492])).
% 58.83/9.72 thf(f492,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ X0 @ sF10)) | ($false = (in @ X0 @ sF9)) | ($false = (in @ X0 @ sF4))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f485])).
% 58.83/9.72 thf(f485,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ X0 @ sF10)) | ($false = (in @ X0 @ sF9)) | ($false = (in @ X0 @ sF4)) | ($false = $true)) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f292,f471])).
% 58.83/9.72 thf(f471,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ X0 @ sK0)) | ($false = (in @ X0 @ sF4))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f462,f52])).
% 58.83/9.72 thf(f5526,plain,(
% 58.83/9.72 ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $true)),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f5525])).
% 58.83/9.72 thf(f5525,plain,(
% 58.83/9.72 ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $true) | ($false = $true)),
% 58.83/9.72 inference(forward_demodulation,[status(thm)],[f5524,f5486])).
% 58.83/9.72 thf(f5524,plain,(
% 58.83/9.72 ($true = (subset @ sF7 @ sF10)) | ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $true)),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f5517])).
% 58.83/9.72 thf(f5517,plain,(
% 58.83/9.72 ((in @ (sK27 @ sF10 @ sF7) @ sK1) = $true) | ($false = $true) | ($true = (subset @ sF7 @ sF10))),
% 58.83/9.72 inference(superposition,[status(thm)],[f5494,f1381])).
% 58.83/9.72 thf(f1381,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ (sK27 @ X0 @ sF7) @ sK2)) | ($true = (subset @ sF7 @ X0)) | ($true = (in @ (sK27 @ X0 @ sF7) @ sK1))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f1367])).
% 58.83/9.72 thf(f1367,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ (sK27 @ X0 @ sF7) @ sK1)) | ($false = $true) | ($true = (subset @ sF7 @ X0)) | ($true = (in @ (sK27 @ X0 @ sF7) @ sK2))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f439,f1257])).
% 58.83/9.72 thf(f1257,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ (sK27 @ X0 @ sF7) @ sF4)) | ($true = (in @ (sK27 @ X0 @ sF7) @ sK1)) | ($true = (subset @ sF7 @ X0))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f1228])).
% 58.83/9.72 thf(f1228,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ (sK27 @ X0 @ sF7) @ sK1)) | ($true = (subset @ sF7 @ X0)) | ($true = (in @ (sK27 @ X0 @ sF7) @ sF4)) | ($false = $true)) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f787,f440])).
% 58.83/9.72 thf(f440,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sF6)) | ($true = (in @ X0 @ sK1))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f430,f54])).
% 58.83/9.72 thf(f439,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sF4)) | ($true = (in @ X0 @ sK2))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f430,f52])).
% 58.83/9.72 thf(f5494,plain,(
% 58.83/9.72 ((in @ (sK27 @ sF10 @ sF7) @ sK2) = $false)),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f5488])).
% 58.83/9.72 thf(f5488,plain,(
% 58.83/9.72 ((in @ (sK27 @ sF10 @ sF7) @ sK2) = $false) | ($false = $true)),
% 58.83/9.72 inference(backward_demodulation,[status(thm)],[f1338,f5486])).
% 58.83/9.72 thf(f1338,plain,(
% 58.83/9.72 ($true = (subset @ sF7 @ sF10)) | ((in @ (sK27 @ sF10 @ sF7) @ sK2) = $false)),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f1337])).
% 58.83/9.72 thf(f1337,plain,(
% 58.83/9.72 ($false = $true) | ($true = (subset @ sF7 @ sF10)) | ((in @ (sK27 @ sF10 @ sF7) @ sK2) = $false)),
% 58.83/9.72 inference(duplicate_literal_removal,[status(thm)],[f1328])).
% 58.83/9.72 thf(f1328,plain,(
% 58.83/9.72 ($true = (subset @ sF7 @ sF10)) | ((in @ (sK27 @ sF10 @ sF7) @ sK2) = $false) | ($true = (subset @ sF7 @ sF10)) | ((in @ (sK27 @ sF10 @ sF7) @ sK2) = $false) | ($false = $true)),
% 58.83/9.72 inference(superposition,[status(thm)],[f909,f1244])).
% 58.83/9.72 thf(f1244,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ (sK27 @ X0 @ sF7) @ sF4)) | ($true = (subset @ sF7 @ X0)) | ($false = (in @ (sK27 @ X0 @ sF7) @ sK2))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f1243])).
% 58.83/9.72 thf(f1243,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (subset @ sF7 @ X0)) | ($false = (in @ (sK27 @ X0 @ sF7) @ sK2)) | ($false = $true) | ($true = (in @ (sK27 @ X0 @ sF7) @ sF4))) )),
% 58.83/9.72 inference(duplicate_literal_removal,[status(thm)],[f1227])).
% 58.83/9.72 thf(f1227,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (subset @ sF7 @ X0)) | ($true = (in @ (sK27 @ X0 @ sF7) @ sF4)) | ($true = (in @ (sK27 @ X0 @ sF7) @ sF4)) | ($false = $true) | ($false = (in @ (sK27 @ X0 @ sF7) @ sK2))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f787,f509])).
% 58.83/9.72 thf(f509,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sF6)) | ($true = (in @ X0 @ sF4)) | ($false = (in @ X0 @ sK2))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f500])).
% 58.83/9.72 thf(f500,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = (in @ X0 @ sF6)) | ($false = $true) | ($false = (in @ X0 @ sK2)) | ($true = (in @ X0 @ sF4))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f472,f290])).
% 58.83/9.72 thf(f909,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (((in @ (sK27 @ sF10 @ X0) @ sF4) = $false) | ($false = (in @ (sK27 @ sF10 @ X0) @ sK2)) | ($true = (subset @ X0 @ sF10))) )),
% 58.83/9.72 inference(trivial_inequality_removal,[status(thm)],[f904])).
% 58.83/9.72 thf(f904,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($false = $true) | ($false = (in @ (sK27 @ sF10 @ X0) @ sK2)) | ($true = (subset @ X0 @ sF10)) | ((in @ (sK27 @ sF10 @ X0) @ sF4) = $false)) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f629,f705])).
% 58.83/9.72 thf(f629,plain,(
% 58.83/9.72 ( ! [X0 : $i] : (($true = (in @ X0 @ sF9)) | ($false = (in @ X0 @ sK2))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f574,f57])).
% 58.83/9.72 thf(f574,plain,(
% 58.83/9.72 ( ! [X0 : $i,X1 : $i] : (($true = (in @ X1 @ (sF8 @ X0))) | ($false = (in @ X1 @ sK2))) )),
% 58.83/9.72 inference(superposition,[status(thm)],[f236,f278])).
% 58.83/9.72 % SZS output end Proof for DTF2THF_3093
% 58.83/9.72 % (3384)------------------------------
% 58.83/9.72 % (3384)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.83/9.72 % (3384)Termination reason: Refutation
% 58.83/9.72
% 58.83/9.72 % (3384)Memory used [KB]: 3198
% 58.83/9.72 % (3384)Time elapsed: 0.507 s
% 58.83/9.72 % (3384)Instructions burned: 1011 (million)
% 58.83/9.72 % (3384)------------------------------
% 58.83/9.72 % (3384)------------------------------
% 58.83/9.72 % (3189)Success in time 8.311 s
%------------------------------------------------------------------------------