%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU760^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:31:11 AM UTC 2026
% Result : Theorem 0.22s 0.26s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 164 ( 56 unt; 0 typ; 21 def)
% Number of atoms : 1012 ( 208 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 1163 ( 116 ~; 163 |; 28 &; 675 @)
% ( 15 <=>; 96 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 47 ( 43 usr; 34 con; 0-4 aty)
% ( 70 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 201 ( 0 sgn 110 !; 12 ?; 201 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
powerset: $i > $i ).
thf(func_def_2,type,
subset: $i > $i > $o ).
thf(func_def_3,type,
subsetI1: $o ).
thf(func_def_5,type,
subsetE: $o ).
thf(func_def_6,type,
binintersect: $i > $i > $i ).
thf(func_def_7,type,
binintersectER: $o ).
thf(func_def_8,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_9,type,
vIMP: $o > $o > $o ).
thf(func_def_10,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_20,type,
sF4: $o ).
thf(func_def_21,type,
sF5: $o ).
thf(func_def_22,type,
sF6: $o ).
thf(func_def_24,type,
sF8: $o ).
thf(func_def_26,type,
sF10: $o ).
thf(func_def_27,type,
sF11: $o ).
thf(func_def_28,type,
sF12: $o ).
thf(func_def_29,type,
sF13: $o ).
thf(func_def_38,type,
sK22: $i > $i > $i ).
thf(f1,axiom,
! [X1: $i,X0: $i] :
( ( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( subset @ X0 @ X1 ) )
= subsetI1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetI1) ).
thf(f2,axiom,
( subsetE
= ( ! [X2: $i,X1: $i,X0: $i] :
( ( subset @ X0 @ X1 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetE) ).
thf(f3,axiom,
! [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X2 @ ( binintersect @ X0 @ X1 ) )
=> ( in @ X2 @ X1 ) )
= binintersectER ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectER) ).
thf(f4,conjecture,
( subsetI1
=> ( subsetE
=> ( binintersectER
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X0 ) )
=> ( ( subset @ X2 @ X3 )
=> ( subset @ ( binintersect @ X1 @ X2 ) @ X3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',woz13rule2) ).
thf(f5,negated_conjecture,
~ ( subsetI1
=> ( subsetE
=> ( binintersectER
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X0 ) )
=> ( ( subset @ X2 @ X3 )
=> ( subset @ ( binintersect @ X1 @ X2 ) @ X3 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
( subsetE
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X2 @ X1 )
=> ( ( in @ X0 @ X2 )
=> ( in @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f7,plain,
( subsetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
~ ( subsetI1
=> ( subsetE
=> ( binintersectER
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
=> ! [X2: $i] :
( ( in @ X2 @ ( powerset @ X0 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X0 ) )
=> ( ( subset @ X2 @ X3 )
=> ( subset @ ( binintersect @ X1 @ X2 ) @ X3 ) ) ) ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
~ ( ( subsetI1 = $true )
=> ( ( subsetE = $true )
=> ( ( binintersectER = $true )
=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ X0 ) )
= $true )
=> ! [X2: $i] :
( ( ( in @ X2 @ ( powerset @ X0 ) )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ ( powerset @ X0 ) )
= $true )
=> ( ( ( subset @ X2 @ X3 )
= $true )
=> ( ( subset @ ( binintersect @ X1 @ X2 ) @ X3 )
= $true ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i] :
( ( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
=> ( subset @ X1 @ X0 ) )
= subsetI1 ),
inference(rectify,[],[f1]) ).
thf(f11,plain,
( subsetI1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( binintersect @ X0 @ X2 ) )
=> ( in @ X1 @ X2 ) )
= binintersectER ),
inference(rectify,[],[f3]) ).
thf(f13,plain,
( binintersectER
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( binintersect @ Y2 @ Y0 ) )
=> ( in @ Y1 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( subset @ ( binintersect @ X1 @ X2 ) @ X3 )
!= $true )
& ( ( subset @ X2 @ X3 )
= $true )
& ( ( in @ X3 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( binintersectER = $true )
& ( subsetE = $true )
& ( subsetI1 = $true ) ),
inference(ennf_transformation,[],[f9]) ).
thf(f15,plain,
( ( binintersectER = $true )
& ? [X1: $i,X0: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( subset @ X2 @ X3 )
= $true )
& ( ( subset @ ( binintersect @ X1 @ X2 ) @ X3 )
!= $true )
& ( ( in @ X3 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X2 @ ( powerset @ X0 ) )
= $true ) )
& ( ( in @ X1 @ ( powerset @ X0 ) )
= $true ) )
& ( subsetE = $true )
& ( subsetI1 = $true ) ),
inference(flattening,[],[f14]) ).
thf(f16,plain,
( ( binintersectER = $true )
& ? [X0: $i,X1: $i] :
( ? [X2: $i] :
( ? [X3: $i] :
( ( ( subset @ X2 @ X3 )
= $true )
& ( ( subset @ ( binintersect @ X0 @ X2 ) @ X3 )
!= $true )
& ( $true
= ( in @ X3 @ ( powerset @ X1 ) ) ) )
& ( $true
= ( in @ X2 @ ( powerset @ X1 ) ) ) )
& ( ( in @ X0 @ ( powerset @ X1 ) )
= $true ) )
& ( subsetE = $true )
& ( subsetI1 = $true ) ),
inference(rectify,[],[f15]) ).
thf(f17,plain,
( ( binintersectER = $true )
& ( ( subset @ sK2 @ sK3 )
= $true )
& ( $true
!= ( subset @ ( binintersect @ sK0 @ sK2 ) @ sK3 ) )
& ( ( in @ sK3 @ ( powerset @ sK1 ) )
= $true )
& ( ( in @ sK2 @ ( powerset @ sK1 ) )
= $true )
& ( ( in @ sK0 @ ( powerset @ sK1 ) )
= $true )
& ( subsetE = $true )
& ( subsetI1 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f16]) ).
thf(f18,plain,
( subsetE
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f19,plain,
( binintersectER
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( binintersect @ Y2 @ Y0 ) )
=> ( in @ Y1 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f20,plain,
subsetI1 = $true,
inference(cnf_transformation,[],[f17]) ).
thf(f21,plain,
subsetE = $true,
inference(cnf_transformation,[],[f17]) ).
thf(f25,plain,
( $true
!= ( subset @ ( binintersect @ sK0 @ sK2 ) @ sK3 ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f26,plain,
( ( subset @ sK2 @ sK3 )
= $true ),
inference(cnf_transformation,[],[f17]) ).
thf(f27,plain,
binintersectER = $true,
inference(cnf_transformation,[],[f17]) ).
thf(f28,plain,
( subsetI1
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f31,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f18,f21]) ).
thf(f32,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( binintersect @ Y2 @ Y0 ) )
=> ( in @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f19,f27]) ).
thf(f33,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f28,f20]) ).
thf(f34,definition,
( sF4
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
thf(f35,plain,
sF4 = $true,
inference(definition_folding,[],[f31,f34]) ).
thf(f36,definition,
( sF5
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( binintersect @ Y2 @ Y0 ) )
=> ( in @ Y1 @ Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
thf(f37,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( binintersect @ Y2 @ Y0 ) )
=> ( in @ Y1 @ Y0 ) ) ) ) )
= sF5 ),
inference(reorient_equations,[],[f36]) ).
thf(f38,plain,
sF5 = $true,
inference(definition_folding,[],[f32,f37]) ).
thf(f39,definition,
( sF6
= ( subset @ sK2 @ sK3 ) ),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
thf(f40,plain,
sF6 = $true,
inference(definition_folding,[],[f26,f39]) ).
thf(f41,definition,
( sF7
= ( binintersect @ sK0 @ sK2 ) ),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
thf(f42,plain,
( ( binintersect @ sK0 @ sK2 )
= sF7 ),
inference(reorient_equations,[],[f41]) ).
thf(f43,definition,
( sF8
= ( subset @ sF7 @ sK3 ) ),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
thf(f44,plain,
sF8 != $true,
inference(definition_folding,[],[f25,f43,f42]) ).
thf(f53,definition,
( sF13
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
thf(f54,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) )
= sF13 ),
inference(reorient_equations,[],[f53]) ).
thf(f55,plain,
sF13 = $true,
inference(definition_folding,[],[f33,f54]) ).
thf(f58,plain,
( ( sF8 = $true )
| ( ( subset @ sF7 @ sK3 )
= $false ) ),
inference(iff_proxy_clausification,[],[f43]) ).
thf(f63,plain,
( ( ( subset @ sK2 @ sK3 )
= $true )
| ( sF6 = $false ) ),
inference(iff_proxy_clausification,[],[f39]) ).
thf(f65,plain,
( ( sF4 = $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(iff_proxy_clausification,[],[f34]) ).
thf(f66,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) )
@ X1 ) )
| ( sF4 = $false ) ),
inference(pi_proxy_clausification,[],[f65]) ).
thf(f67,plain,
! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ X1 @ Y0 )
=> ( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) ) ) )
= $true )
| ( sF4 = $false ) ),
inference(beta-eta_normalization,[],[f66]) ).
thf(f68,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( subset @ X1 @ Y0 )
=> ( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) ) )
@ X2 ) )
| ( sF4 = $false ) ),
inference(pi_proxy_clausification,[],[f67]) ).
thf(f69,plain,
! [X2: $i,X1: $i] :
( ( sF4 = $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( subset @ X1 @ X2 )
=> ( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f68]) ).
thf(f70,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( subset @ X1 @ X2 )
=> ( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) )
@ X3 )
= $true )
| ( sF4 = $false ) ),
inference(pi_proxy_clausification,[],[f69]) ).
thf(f71,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( sF4 = $false )
| ( ( ( subset @ X1 @ X2 )
=> ( ( in @ X3 @ X1 )
=> ( in @ X3 @ X2 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f70]) ).
thf(f72,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( subset @ X1 @ X2 )
= $false )
| ( ( ( in @ X3 @ X1 )
=> ( in @ X3 @ X2 ) )
= $true )
| ( sF4 = $false ) ),
inference(imp_proxy_clausification,[],[f71]) ).
thf(f73,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( subset @ X1 @ X2 )
= $false )
| ( ( in @ X3 @ X2 )
= $true )
| ( sF4 = $false )
| ( ( in @ X3 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f72]) ).
thf(f86,plain,
( ( sF5 = $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( binintersect @ Y2 @ Y0 ) )
=> ( in @ Y1 @ Y0 ) ) ) ) )
= $true ) ),
inference(iff_proxy_clausification,[],[f37]) ).
thf(f96,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( binintersect @ Y2 @ Y0 ) )
=> ( in @ Y1 @ Y0 ) ) ) )
@ X1 )
= $true )
| ( sF5 = $false ) ),
inference(pi_proxy_clausification,[],[f86]) ).
thf(f97,plain,
! [X1: $i] :
( ( sF5 = $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( binintersect @ Y1 @ X1 ) )
=> ( in @ Y0 @ X1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f96]) ).
thf(f98,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( binintersect @ Y1 @ X1 ) )
=> ( in @ Y0 @ X1 ) ) )
@ X2 ) )
| ( sF5 = $false ) ),
inference(pi_proxy_clausification,[],[f97]) ).
thf(f99,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X2 @ ( binintersect @ Y0 @ X1 ) )
=> ( in @ X2 @ X1 ) ) )
= $true )
| ( sF5 = $false ) ),
inference(beta-eta_normalization,[],[f98]) ).
thf(f100,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( in @ X2 @ ( binintersect @ Y0 @ X1 ) )
=> ( in @ X2 @ X1 ) )
@ X3 )
= $true )
| ( sF5 = $false ) ),
inference(pi_proxy_clausification,[],[f99]) ).
thf(f101,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( in @ X2 @ ( binintersect @ X3 @ X1 ) )
=> ( in @ X2 @ X1 ) )
= $true )
| ( sF5 = $false ) ),
inference(beta-eta_normalization,[],[f100]) ).
thf(f102,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( sF5 = $false )
| ( ( in @ X2 @ X1 )
= $true )
| ( ( in @ X2 @ ( binintersect @ X3 @ X1 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f101]) ).
thf(f103,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) )
= $true )
| ( sF13 = $false ) ),
inference(iff_proxy_clausification,[],[f54]) ).
thf(f114,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) )
@ X1 )
= $true )
| ( sF13 = $false ) ),
inference(pi_proxy_clausification,[],[f103]) ).
thf(f115,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) )
=> ( subset @ X1 @ Y0 ) ) ) )
| ( sF13 = $false ) ),
inference(beta-eta_normalization,[],[f114]) ).
thf(f116,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) )
=> ( subset @ X1 @ Y0 ) )
@ X2 )
= $true )
| ( sF13 = $false ) ),
inference(pi_proxy_clausification,[],[f115]) ).
thf(f117,plain,
! [X2: $i,X1: $i] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) )
=> ( subset @ X1 @ X2 ) )
= $true )
| ( sF13 = $false ) ),
inference(beta-eta_normalization,[],[f116]) ).
thf(f118,plain,
! [X2: $i,X1: $i] :
( ( sF13 = $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) )
= $false )
| ( $true
= ( subset @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f117]) ).
thf(f119,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) )
@ ( sK22 @ X1 @ X2 ) )
= $false )
| ( $true
= ( subset @ X1 @ X2 ) )
| ( sF13 = $false ) ),
inference(sigma_proxy_clausification,[],[f118]) ).
thf(f120,plain,
! [X2: $i,X1: $i] :
( ( sF13 = $false )
| ( ( ( in @ ( sK22 @ X1 @ X2 ) @ X1 )
=> ( in @ ( sK22 @ X1 @ X2 ) @ X2 ) )
= $false )
| ( $true
= ( subset @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f119]) ).
thf(f121,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( subset @ X1 @ X2 ) )
| ( ( in @ ( sK22 @ X1 @ X2 ) @ X2 )
= $false )
| ( sF13 = $false ) ),
inference(imp_proxy_clausification,[],[f120]) ).
thf(f122,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK22 @ X1 @ X2 ) @ X1 ) )
| ( sF13 = $false )
| ( $true
= ( subset @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f120]) ).
thf(f151,definition,
( spl23_7
<=> ( sF8 = $true ) ),
introduced(definition,[new_symbols(definition,[spl23_7])],[avatar_definition]) ).
thf(f155,definition,
( spl23_8
<=> ( ( subset @ sF7 @ sK3 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl23_8])],[avatar_definition]) ).
thf(f157,plain,
( ( ( subset @ sF7 @ sK3 )
= $false )
| ~ spl23_8 ),
inference(avatar_component_clause,[],[f155]) ).
thf(f158,plain,
( spl23_7
| spl23_8 ),
inference(avatar_split_clause,[],[f58,f155,f151]) ).
thf(f178,definition,
( spl23_13
<=> ( sF6 = $false ) ),
introduced(definition,[new_symbols(definition,[spl23_13])],[avatar_definition]) ).
thf(f180,plain,
( ( sF6 = $false )
| ~ spl23_13 ),
inference(avatar_component_clause,[],[f178]) ).
thf(f182,definition,
( spl23_14
<=> ( ( subset @ sK2 @ sK3 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl23_14])],[avatar_definition]) ).
thf(f184,plain,
( ( ( subset @ sK2 @ sK3 )
= $true )
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f182]) ).
thf(f185,plain,
( spl23_13
| spl23_14 ),
inference(avatar_split_clause,[],[f63,f182,f178]) ).
thf(f187,definition,
( spl23_15
<=> ( sF6 = $true ) ),
introduced(definition,[new_symbols(definition,[spl23_15])],[avatar_definition]) ).
thf(f189,plain,
( ( sF6 = $true )
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f187]) ).
thf(f196,definition,
( spl23_17
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( subset @ X1 @ X2 )
= $false )
| ( ( in @ X3 @ X1 )
= $false )
| ( ( in @ X3 @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl23_17])],[avatar_definition]) ).
thf(f197,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( subset @ X1 @ X2 )
= $false )
| ( ( in @ X3 @ X2 )
= $true )
| ( ( in @ X3 @ X1 )
= $false ) )
| ~ spl23_17 ),
inference(avatar_component_clause,[],[f196]) ).
thf(f199,definition,
( spl23_18
<=> ( sF4 = $false ) ),
introduced(definition,[new_symbols(definition,[spl23_18])],[avatar_definition]) ).
thf(f201,plain,
( ( sF4 = $false )
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f199]) ).
thf(f202,plain,
( spl23_17
| spl23_18 ),
inference(avatar_split_clause,[],[f73,f199,f196]) ).
thf(f208,definition,
( spl23_20
<=> ( sF4 = $true ) ),
introduced(definition,[new_symbols(definition,[spl23_20])],[avatar_definition]) ).
thf(f210,plain,
( ( sF4 = $true )
| ~ spl23_20 ),
inference(avatar_component_clause,[],[f208]) ).
thf(f242,definition,
( spl23_27
<=> ( sF5 = $true ) ),
introduced(definition,[new_symbols(definition,[spl23_27])],[avatar_definition]) ).
thf(f244,plain,
( ( sF5 = $true )
| ~ spl23_27 ),
inference(avatar_component_clause,[],[f242]) ).
thf(f256,definition,
( spl23_30
<=> ( sF5 = $false ) ),
introduced(definition,[new_symbols(definition,[spl23_30])],[avatar_definition]) ).
thf(f258,plain,
( ( sF5 = $false )
| ~ spl23_30 ),
inference(avatar_component_clause,[],[f256]) ).
thf(f260,definition,
( spl23_31
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( in @ X2 @ X1 )
= $true )
| ( ( in @ X2 @ ( binintersect @ X3 @ X1 ) )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl23_31])],[avatar_definition]) ).
thf(f261,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X2 @ ( binintersect @ X3 @ X1 ) )
= $false )
| ( ( in @ X2 @ X1 )
= $true ) )
| ~ spl23_31 ),
inference(avatar_component_clause,[],[f260]) ).
thf(f262,plain,
( spl23_30
| spl23_31 ),
inference(avatar_split_clause,[],[f102,f260,f256]) ).
thf(f267,definition,
( spl23_33
<=> ( sF13 = $true ) ),
introduced(definition,[new_symbols(definition,[spl23_33])],[avatar_definition]) ).
thf(f269,plain,
( ( sF13 = $true )
| ~ spl23_33 ),
inference(avatar_component_clause,[],[f267]) ).
thf(f277,definition,
( spl23_35
<=> ! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK22 @ X1 @ X2 ) @ X1 ) )
| ( $true
= ( subset @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl23_35])],[avatar_definition]) ).
thf(f278,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK22 @ X1 @ X2 ) @ X1 ) )
| ( $true
= ( subset @ X1 @ X2 ) ) )
| ~ spl23_35 ),
inference(avatar_component_clause,[],[f277]) ).
thf(f280,definition,
( spl23_36
<=> ( sF13 = $false ) ),
introduced(definition,[new_symbols(definition,[spl23_36])],[avatar_definition]) ).
thf(f282,plain,
( ( sF13 = $false )
| ~ spl23_36 ),
inference(avatar_component_clause,[],[f280]) ).
thf(f283,plain,
( spl23_35
| spl23_36 ),
inference(avatar_split_clause,[],[f122,f280,f277]) ).
thf(f285,definition,
( spl23_37
<=> ! [X2: $i,X1: $i] :
( ( $true
= ( subset @ X1 @ X2 ) )
| ( ( in @ ( sK22 @ X1 @ X2 ) @ X2 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl23_37])],[avatar_definition]) ).
thf(f286,plain,
( ! [X2: $i,X1: $i] :
( ( ( in @ ( sK22 @ X1 @ X2 ) @ X2 )
= $false )
| ( $true
= ( subset @ X1 @ X2 ) ) )
| ~ spl23_37 ),
inference(avatar_component_clause,[],[f285]) ).
thf(f287,plain,
( spl23_37
| spl23_36 ),
inference(avatar_split_clause,[],[f121,f280,f285]) ).
thf(f288,plain,
spl23_20,
inference(avatar_split_clause,[],[f35,f208]) ).
thf(f289,plain,
spl23_27,
inference(avatar_split_clause,[],[f38,f242]) ).
thf(f290,plain,
spl23_15,
inference(avatar_split_clause,[],[f40,f187]) ).
thf(f291,plain,
~ spl23_7,
inference(avatar_split_clause,[],[f44,f151]) ).
thf(f294,plain,
spl23_33,
inference(avatar_split_clause,[],[f55,f267]) ).
thf(f314,plain,
( ( $true = $false )
| ~ spl23_13
| ~ spl23_15 ),
inference(forward_demodulation,[],[f189,f180]) ).
thf(f315,plain,
( $false
| ~ spl23_13
| ~ spl23_15 ),
inference(trivial_inequality_removal,[],[f314]) ).
thf(f316,plain,
( ~ spl23_13
| ~ spl23_15 ),
inference(avatar_contradiction_clause,[],[f315]) ).
thf(f321,plain,
( ( $true = $false )
| ~ spl23_27
| ~ spl23_30 ),
inference(forward_demodulation,[],[f244,f258]) ).
thf(f322,plain,
( $false
| ~ spl23_27
| ~ spl23_30 ),
inference(trivial_inequality_removal,[],[f321]) ).
thf(f323,plain,
( ~ spl23_27
| ~ spl23_30 ),
inference(avatar_contradiction_clause,[],[f322]) ).
thf(f326,plain,
( ( $true = $false )
| ~ spl23_33
| ~ spl23_36 ),
inference(forward_demodulation,[],[f282,f269]) ).
thf(f327,plain,
( $false
| ~ spl23_33
| ~ spl23_36 ),
inference(trivial_inequality_removal,[],[f326]) ).
thf(f328,plain,
( ~ spl23_33
| ~ spl23_36 ),
inference(avatar_contradiction_clause,[],[f327]) ).
thf(f340,plain,
( ! [X0: $i] :
( ( ( in @ X0 @ sF7 )
= $false )
| ( ( in @ X0 @ sK2 )
= $true ) )
| ~ spl23_31 ),
inference(constrained_superposition,[],[f261,f42]) ).
thf(f346,plain,
( ! [X0: $i] :
( ( $true
= ( in @ ( sK22 @ sF7 @ X0 ) @ sK2 ) )
| ( $true
= ( subset @ sF7 @ X0 ) )
| ( $true = $false ) )
| ~ spl23_31
| ~ spl23_35 ),
inference(constrained_superposition,[],[f278,f340]) ).
thf(f350,plain,
( ! [X0: $i] :
( ( $true
= ( in @ ( sK22 @ sF7 @ X0 ) @ sK2 ) )
| ( $true
= ( subset @ sF7 @ X0 ) ) )
| ~ spl23_31
| ~ spl23_35 ),
inference(trivial_inequality_removal,[],[f346]) ).
thf(f369,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $true
= ( in @ X0 @ sK3 ) )
| ( ( in @ X0 @ sK2 )
= $false ) )
| ~ spl23_14
| ~ spl23_17 ),
inference(constrained_superposition,[],[f197,f184]) ).
thf(f374,plain,
( ! [X0: $i] :
( ( $true
= ( in @ X0 @ sK3 ) )
| ( ( in @ X0 @ sK2 )
= $false ) )
| ~ spl23_14
| ~ spl23_17 ),
inference(trivial_inequality_removal,[],[f369]) ).
thf(f382,plain,
( ! [X0: $i] :
( ( ( in @ ( sK22 @ X0 @ sK3 ) @ sK2 )
= $false )
| ( $true = $false )
| ( $true
= ( subset @ X0 @ sK3 ) ) )
| ~ spl23_14
| ~ spl23_17
| ~ spl23_37 ),
inference(constrained_superposition,[],[f286,f374]) ).
thf(f383,plain,
( ! [X0: $i] :
( ( ( in @ ( sK22 @ X0 @ sK3 ) @ sK2 )
= $false )
| ( $true
= ( subset @ X0 @ sK3 ) ) )
| ~ spl23_14
| ~ spl23_17
| ~ spl23_37 ),
inference(trivial_inequality_removal,[],[f382]) ).
thf(f388,plain,
( ( $true = $false )
| ( $true
= ( subset @ sF7 @ sK3 ) )
| ( $true
= ( subset @ sF7 @ sK3 ) )
| ~ spl23_14
| ~ spl23_17
| ~ spl23_31
| ~ spl23_35
| ~ spl23_37 ),
inference(constrained_superposition,[],[f350,f383]) ).
thf(f397,plain,
( ( $true
= ( subset @ sF7 @ sK3 ) )
| ( $true = $false )
| ~ spl23_14
| ~ spl23_17
| ~ spl23_31
| ~ spl23_35
| ~ spl23_37 ),
inference(duplicate_literal_removal,[],[f388]) ).
thf(f398,plain,
( ( $true
= ( subset @ sF7 @ sK3 ) )
| ~ spl23_14
| ~ spl23_17
| ~ spl23_31
| ~ spl23_35
| ~ spl23_37 ),
inference(trivial_inequality_removal,[],[f397]) ).
thf(f402,plain,
( ( $true = $false )
| ~ spl23_8
| ~ spl23_14
| ~ spl23_17
| ~ spl23_31
| ~ spl23_35
| ~ spl23_37 ),
inference(forward_demodulation,[],[f398,f157]) ).
thf(f403,plain,
( $false
| ~ spl23_8
| ~ spl23_14
| ~ spl23_17
| ~ spl23_31
| ~ spl23_35
| ~ spl23_37 ),
inference(trivial_inequality_removal,[],[f402]) ).
thf(f404,plain,
( ~ spl23_8
| ~ spl23_14
| ~ spl23_17
| ~ spl23_31
| ~ spl23_35
| ~ spl23_37 ),
inference(avatar_contradiction_clause,[],[f403]) ).
thf(f405,plain,
( ( $true = $false )
| ~ spl23_18
| ~ spl23_20 ),
inference(forward_demodulation,[],[f201,f210]) ).
thf(f406,plain,
( $false
| ~ spl23_18
| ~ spl23_20 ),
inference(trivial_inequality_removal,[],[f405]) ).
thf(f407,plain,
( ~ spl23_18
| ~ spl23_20 ),
inference(avatar_contradiction_clause,[],[f406]) ).
cnf(s4,plain,
( spl23_7
| spl23_8 ),
inference(sat_conversion,[],[f158]) ).
cnf(s7,plain,
( spl23_13
| spl23_14 ),
inference(sat_conversion,[],[f185]) ).
cnf(s9,plain,
( spl23_17
| spl23_18 ),
inference(sat_conversion,[],[f202]) ).
cnf(s18,plain,
( spl23_30
| spl23_31 ),
inference(sat_conversion,[],[f262]) ).
cnf(s21,plain,
( spl23_35
| spl23_36 ),
inference(sat_conversion,[],[f283]) ).
cnf(s22,plain,
( spl23_36
| spl23_37 ),
inference(sat_conversion,[],[f287]) ).
cnf(s23,plain,
spl23_20,
inference(sat_conversion,[],[f288]) ).
cnf(s24,plain,
spl23_27,
inference(sat_conversion,[],[f289]) ).
cnf(s25,plain,
spl23_15,
inference(sat_conversion,[],[f290]) ).
cnf(s26,plain,
~ spl23_7,
inference(sat_conversion,[],[f291]) ).
cnf(s29,plain,
spl23_33,
inference(sat_conversion,[],[f294]) ).
cnf(s31,plain,
( ~ spl23_13
| ~ spl23_15 ),
inference(sat_conversion,[],[f316]) ).
cnf(s32,plain,
( ~ spl23_27
| ~ spl23_30 ),
inference(sat_conversion,[],[f323]) ).
cnf(s33,plain,
( ~ spl23_33
| ~ spl23_36 ),
inference(sat_conversion,[],[f328]) ).
cnf(s37,plain,
( ~ spl23_8
| ~ spl23_14
| ~ spl23_17
| ~ spl23_31
| ~ spl23_35
| ~ spl23_37 ),
inference(sat_conversion,[],[f404]) ).
cnf(s38,plain,
( ~ spl23_18
| ~ spl23_20 ),
inference(sat_conversion,[],[f407]) ).
cnf(s39,plain,
~ spl23_36,
inference(rat,[],[s33,s29]) ).
cnf(s41,plain,
~ spl23_13,
inference(rat,[],[s31,s25]) ).
cnf(s42,plain,
~ spl23_30,
inference(rat,[],[s32,s24]) ).
cnf(s43,plain,
~ spl23_18,
inference(rat,[],[s38,s23]) ).
cnf(s44,plain,
spl23_37,
inference(rat,[],[s22,s39]) ).
cnf(s45,plain,
spl23_35,
inference(rat,[],[s21,s39]) ).
cnf(s46,plain,
spl23_31,
inference(rat,[],[s18,s42]) ).
cnf(s48,plain,
spl23_17,
inference(rat,[],[s9,s43]) ).
cnf(s49,plain,
spl23_14,
inference(rat,[],[s7,s41]) ).
cnf(s50,plain,
~ spl23_8,
inference(rat,[],[s37,s44,s45,s46,s48,s49]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s4,s50,s26]) ).
thf(f408,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU760^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n020.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 14:23:50 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.26 % (1127556)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.26 % (1127567)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.26 % (1127567)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.26 % (1127567)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3724075529:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_3000 on theBenchmark for (3000ds/157Mi)
% 0.22/0.26 % (1127567) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1127556-1127567"...
% 0.22/0.26 % (1127567)...printing done.
% 0.22/0.26 % (1127563)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3200931672:i=3:rtra=on:inj=on:ntd=on_3000 on theBenchmark for (3000ds/3Mi)
% 0.22/0.26 % (1127562)lrs+10_16_si=on:nwc=1.5:random_seed=2680773327:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_3000 on theBenchmark for (3000ds/18Mi)
% 0.22/0.26 % (1127561)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2853530561:s2a=on:i=87:rtra=on:ntd=on_3000 on theBenchmark for (3000ds/87Mi)
% 0.22/0.26 % (1127567)Refutation found. Thanks to Tanya!
% 0.22/0.26 % SZS status Theorem for theBenchmark
% 0.22/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.27 % (1127567)------------------------------
% 0.22/0.27 % (1127567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.27 % (1127567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.27 % (1127567)CaDiCaL version: 2.1.3
% 0.22/0.27 % (1127567)Termination reason: Refutation
% 0.22/0.27 % (1127567)Time elapsed: 0.006 s
% 0.22/0.27 % (1127567)Peak memory usage: 13 MB
% 0.22/0.27 % (1127567)Instructions burned: 18 (million)
% 0.22/0.27 % (1127556)Success in time 0.021 s
% 0.22/0.27 % Vampire exiting
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