%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO888^10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 08:48:35 AM UTC 2026
% Result : Theorem 0.24s 0.28s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 113 ( 39 unt; 0 typ; 8 def)
% Number of atoms : 884 ( 163 equ; 0 cnn)
% Maximal formula atoms : 18 ( 7 avg)
% Number of connectives : 1200 ( 88 ~; 168 |; 9 &; 778 @)
% ( 7 <=>; 100 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 91 ( 91 >; 0 *; 0 +; 0 <<)
% Number of symbols : 49 ( 45 usr; 20 con; 0-4 aty)
% ( 50 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 246 ( 0 sgn 36 !; 0 ?; 246 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
mrel: mworld > mworld > $o ).
thf(func_def_1,type,
mactual: mworld ).
thf(func_def_2,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_4,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_5,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_6,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
eiw_di: $i > mworld > $o ).
thf(func_def_12,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_13,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
f: $i > mworld > $o ).
thf(func_def_15,type,
g: $i > mworld > $o ).
thf(func_def_16,type,
h: $i > mworld > $o ).
thf(func_def_17,type,
vIMP: $o > $o > $o ).
thf(func_def_18,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_22,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_23,type,
vAND: $o > $o > $o ).
thf(func_def_24,type,
vNOT: $o > $o ).
thf(func_def_25,type,
vIFF: $o > $o > $o ).
thf(func_def_26,type,
vOR: $o > $o > $o ).
thf(func_def_27,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_30,type,
sK0: mworld > $i ).
thf(func_def_31,type,
sF1: $o ).
thf(func_def_34,type,
sK4: mworld ).
thf(func_def_35,type,
sK5: mworld ).
thf(func_def_36,type,
sK6: mworld ).
thf(func_def_37,type,
sK7: mworld ).
thf(func_def_38,type,
sK8: mworld ).
thf(func_def_39,type,
sK9: mworld ).
thf(func_def_41,type,
sK11: mworld ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(f3,axiom,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).
thf(f5,axiom,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(f7,axiom,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(f9,axiom,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(f12,axiom,
( mforall_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] :
( ( eiw_di @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def) ).
thf(f14,conjecture,
( mlocal
@ ( mimplies
@ ( mand
@ ( mforall_di
@ ^ [X0: $i] : ( mimplies @ ( f @ X0 ) @ ( mbox @ ( g @ X0 ) ) ) )
@ ( mforall_di
@ ^ [X0: $i] : ( mimplies @ ( g @ X0 ) @ ( mbox @ ( h @ X0 ) ) ) ) )
@ ( mforall_di
@ ^ [X0: $i] : ( mimplies @ ( f @ X0 ) @ ( mbox @ ( h @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f15,negated_conjecture,
~ ( mlocal
@ ( mimplies
@ ( mand
@ ( mforall_di
@ ^ [X0: $i] : ( mimplies @ ( f @ X0 ) @ ( mbox @ ( g @ X0 ) ) ) )
@ ( mforall_di
@ ^ [X0: $i] : ( mimplies @ ( g @ X0 ) @ ( mbox @ ( h @ X0 ) ) ) ) )
@ ( mforall_di
@ ^ [X0: $i] : ( mimplies @ ( f @ X0 ) @ ( mbox @ ( h @ X0 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
thf(f16,plain,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f17,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f26,plain,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f27,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f26]) ).
thf(f28,plain,
( mforall_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] :
( ( eiw_di @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f29,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f28]) ).
thf(f30,plain,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f31,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f30]) ).
thf(f32,plain,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
inference(rectify,[],[f9]) ).
thf(f33,plain,
! [X0: mworld] :
( ( mrel @ X0 @ X0 )
= $true ),
inference(fool_elimination,[],[f32]) ).
thf(f34,plain,
~ ( mlocal
@ ( mimplies
@ ( mand
@ ( mforall_di
@ ^ [X0: $i] : ( mimplies @ ( f @ X0 ) @ ( mbox @ ( g @ X0 ) ) ) )
@ ( mforall_di
@ ^ [X1: $i] : ( mimplies @ ( g @ X1 ) @ ( mbox @ ( h @ X1 ) ) ) ) )
@ ( mforall_di
@ ^ [X2: $i] : ( mimplies @ ( f @ X2 ) @ ( mbox @ ( h @ X2 ) ) ) ) ) ),
inference(rectify,[],[f15]) ).
thf(f35,plain,
( ( mlocal
@ ( mimplies
@ ( mand
@ ( mforall_di
@ ^ [Y0: $i] : ( mimplies @ ( f @ Y0 ) @ ( mbox @ ( g @ Y0 ) ) ) )
@ ( mforall_di
@ ^ [Y0: $i] : ( mimplies @ ( g @ Y0 ) @ ( mbox @ ( h @ Y0 ) ) ) ) )
@ ( mforall_di
@ ^ [Y0: $i] : ( mimplies @ ( f @ Y0 ) @ ( mbox @ ( h @ Y0 ) ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f34]) ).
thf(f36,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f43,plain,
( ( mlocal
@ ( mimplies
@ ( mand
@ ( mforall_di
@ ^ [Y0: $i] : ( mimplies @ ( f @ Y0 ) @ ( mbox @ ( g @ Y0 ) ) ) )
@ ( mforall_di
@ ^ [Y0: $i] : ( mimplies @ ( g @ Y0 ) @ ( mbox @ ( h @ Y0 ) ) ) ) )
@ ( mforall_di
@ ^ [Y0: $i] : ( mimplies @ ( f @ Y0 ) @ ( mbox @ ( h @ Y0 ) ) ) ) ) )
!= $true ),
inference(flattening,[],[f35]) ).
thf(f48,plain,
( ( mlocal
@ ( mimplies
@ ( mand
@ ( mforall_di
@ ^ [Y0: $i] : ( mimplies @ ( f @ Y0 ) @ ( mbox @ ( g @ Y0 ) ) ) )
@ ( mforall_di
@ ^ [Y0: $i] : ( mimplies @ ( g @ Y0 ) @ ( mbox @ ( h @ Y0 ) ) ) ) )
@ ( mforall_di
@ ^ [Y0: $i] : ( mimplies @ ( f @ Y0 ) @ ( mbox @ ( h @ Y0 ) ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f43]) ).
thf(f49,plain,
! [X0: mworld] :
( ( mrel @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[],[f33]) ).
thf(f50,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f51,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f53,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f57,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f27]) ).
thf(f60,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f64,plain,
( $true
!= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld > $o,Y3: mworld] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) )
@ ( f @ Y0 )
@ ( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( g @ Y0 ) ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld > $o,Y3: mworld] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) )
@ ( g @ Y0 )
@ ( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( h @ Y0 ) ) ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld > $o,Y3: mworld] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) )
@ ( f @ Y0 )
@ ( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( h @ Y0 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f48,f53,f60,f57,f51,f60,f50,f51,f60,f50,f51,f60,f50]) ).
thf(f65,definition,
( sF1
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld > $o,Y3: mworld] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) )
@ ( f @ Y0 )
@ ( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( g @ Y0 ) ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld > $o,Y3: mworld] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) )
@ ( g @ Y0 )
@ ( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( h @ Y0 ) ) ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld > $o,Y3: mworld] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) )
@ ( f @ Y0 )
@ ( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( h @ Y0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
thf(f66,plain,
$true != sF1,
inference(definition_folding,[],[f64,f65]) ).
thf(f67,plain,
( ( $true = sF1 )
| ( $false
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld > $o,Y3: mworld] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) )
@ ( f @ Y0 )
@ ( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( g @ Y0 ) ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld > $o,Y3: mworld] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) )
@ ( g @ Y0 )
@ ( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( h @ Y0 ) ) ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld > $o,Y3: mworld] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) )
@ ( f @ Y0 )
@ ( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( h @ Y0 ) ) ) ) ) ) ) ),
inference(iff_proxy_clausification,[],[f65]) ).
thf(f150,plain,
( ( $false
= ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( g @ Y0 @ mactual )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( h @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( f @ Y0 @ mactual )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( g @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( f @ Y0 @ mactual )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( h @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( $true = sF1 ) ),
inference(beta-eta_normalization,[],[f67]) ).
thf(f151,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( f @ Y0 @ mactual )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( h @ Y0 @ Y1 ) ) ) ) ) )
= $false )
| ( $true = sF1 ) ),
inference(imp_proxy_clausification,[],[f150]) ).
thf(f152,plain,
( ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( g @ Y0 @ mactual )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( h @ Y0 @ Y1 ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( f @ Y0 @ mactual )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( g @ Y0 @ Y1 ) ) ) ) ) ) ) )
| ( $true = sF1 ) ),
inference(imp_proxy_clausification,[],[f150]) ).
thf(f153,plain,
( ( $true = sF1 )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( f @ Y0 @ mactual )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( g @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f152]) ).
thf(f154,plain,
( ( $true = sF1 )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( g @ Y0 @ mactual )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( h @ Y0 @ Y1 ) ) ) ) ) )
= $true ) ),
inference(and_proxy_clausification,[],[f152]) ).
thf(f155,plain,
! [X1: $i] :
( ( $true = sF1 )
| ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( g @ Y0 @ mactual )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( h @ Y0 @ Y1 ) ) ) ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f154]) ).
thf(f156,plain,
! [X1: $i] :
( ( $true
= ( ( eiw_di @ X1 @ mactual )
=> ( ( g @ X1 @ mactual )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( h @ X1 @ Y0 ) ) ) ) ) )
| ( $true = sF1 ) ),
inference(beta-eta_normalization,[],[f155]) ).
thf(f157,plain,
! [X1: $i] :
( ( $true
= ( ( g @ X1 @ mactual )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( h @ X1 @ Y0 ) ) ) ) )
| ( $true = sF1 )
| ( ( eiw_di @ X1 @ mactual )
= $false ) ),
inference(imp_proxy_clausification,[],[f156]) ).
thf(f158,plain,
! [X1: $i] :
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( h @ X1 @ Y0 ) ) ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true = sF1 )
| ( ( g @ X1 @ mactual )
= $false ) ),
inference(imp_proxy_clausification,[],[f157]) ).
thf(f159,plain,
! [X2: mworld,X1: $i] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( h @ X1 @ Y0 ) )
@ X2 )
= $true )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( g @ X1 @ mactual )
= $false )
| ( $true = sF1 ) ),
inference(pi_proxy_clausification,[],[f158]) ).
thf(f160,plain,
! [X2: mworld,X1: $i] :
( ( $true = sF1 )
| ( ( g @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true
= ( ( mrel @ mactual @ X2 )
=> ( h @ X1 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f159]) ).
thf(f161,plain,
! [X2: mworld,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true
= ( h @ X1 @ X2 ) )
| ( $true = sF1 )
| ( ( g @ X1 @ mactual )
= $false )
| ( ( mrel @ mactual @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f160]) ).
thf(f162,plain,
! [X1: $i] :
( ( $true = sF1 )
| ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( f @ Y0 @ mactual )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( g @ Y0 @ Y1 ) ) ) ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f153]) ).
thf(f163,plain,
! [X1: $i] :
( ( $true = sF1 )
| ( $true
= ( ( eiw_di @ X1 @ mactual )
=> ( ( f @ X1 @ mactual )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( g @ X1 @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f162]) ).
thf(f164,plain,
! [X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true = sF1 )
| ( $true
= ( ( f @ X1 @ mactual )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( g @ X1 @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f163]) ).
thf(f165,plain,
! [X1: $i] :
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( g @ X1 @ Y0 ) ) ) )
| ( $true = sF1 )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( f @ X1 @ mactual )
= $false ) ),
inference(imp_proxy_clausification,[],[f164]) ).
thf(f166,plain,
! [X2: mworld,X1: $i] :
( ( ( f @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true = sF1 )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( g @ X1 @ Y0 ) )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f165]) ).
thf(f167,plain,
! [X2: mworld,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true = sF1 )
| ( ( f @ X1 @ mactual )
= $false )
| ( $true
= ( ( mrel @ mactual @ X2 )
=> ( g @ X1 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f166]) ).
thf(f168,plain,
! [X2: mworld,X1: $i] :
( ( ( mrel @ mactual @ X2 )
= $false )
| ( $true = sF1 )
| ( ( f @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true
= ( g @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f167]) ).
thf(f169,plain,
( ( $true = sF1 )
| ( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
=> ( ( f @ Y0 @ mactual )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( h @ Y0 @ Y1 ) ) ) ) )
@ sK10 ) ) ),
inference(sigma_proxy_clausification,[],[f151]) ).
thf(f170,plain,
( ( $true = sF1 )
| ( ( ( eiw_di @ sK10 @ mactual )
=> ( ( f @ sK10 @ mactual )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( h @ sK10 @ Y0 ) ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f169]) ).
thf(f171,plain,
( ( $true = sF1 )
| ( $false
= ( ( f @ sK10 @ mactual )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( h @ sK10 @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f170]) ).
thf(f172,plain,
( ( $true = sF1 )
| ( ( eiw_di @ sK10 @ mactual )
= $true ) ),
inference(imp_proxy_clausification,[],[f170]) ).
thf(f173,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( h @ sK10 @ Y0 ) ) )
= $false )
| ( $true = sF1 ) ),
inference(imp_proxy_clausification,[],[f171]) ).
thf(f174,plain,
( ( ( f @ sK10 @ mactual )
= $true )
| ( $true = sF1 ) ),
inference(imp_proxy_clausification,[],[f171]) ).
thf(f175,plain,
( ( $true = sF1 )
| ( $false
= ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( h @ sK10 @ Y0 ) )
@ sK11 ) ) ),
inference(sigma_proxy_clausification,[],[f173]) ).
thf(f176,plain,
( ( ( ( mrel @ mactual @ sK11 )
=> ( h @ sK10 @ sK11 ) )
= $false )
| ( $true = sF1 ) ),
inference(beta-eta_normalization,[],[f175]) ).
thf(f177,plain,
( ( $true = sF1 )
| ( $false
= ( h @ sK10 @ sK11 ) ) ),
inference(imp_proxy_clausification,[],[f176]) ).
thf(f178,plain,
( ( $true = sF1 )
| ( ( mrel @ mactual @ sK11 )
= $true ) ),
inference(imp_proxy_clausification,[],[f176]) ).
thf(f267,definition,
( spl12_19
<=> ( $true = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition]) ).
thf(f271,definition,
( spl12_20
<=> ! [X2: mworld,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( mrel @ mactual @ X2 )
= $false )
| ( ( g @ X1 @ mactual )
= $false )
| ( $true
= ( h @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl12_20])],[avatar_definition]) ).
thf(f272,plain,
( ! [X2: mworld,X1: $i] :
( ( $true
= ( h @ X1 @ X2 ) )
| ( ( mrel @ mactual @ X2 )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( g @ X1 @ mactual )
= $false ) )
| ~ spl12_20 ),
inference(avatar_component_clause,[],[f271]) ).
thf(f273,plain,
( spl12_19
| spl12_20 ),
inference(avatar_split_clause,[],[f161,f271,f267]) ).
thf(f275,definition,
( spl12_21
<=> ! [X2: mworld,X1: $i] :
( ( ( mrel @ mactual @ X2 )
= $false )
| ( ( f @ X1 @ mactual )
= $false )
| ( $true
= ( g @ X1 @ X2 ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl12_21])],[avatar_definition]) ).
thf(f276,plain,
( ! [X2: mworld,X1: $i] :
( ( $true
= ( g @ X1 @ X2 ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( f @ X1 @ mactual )
= $false )
| ( ( mrel @ mactual @ X2 )
= $false ) )
| ~ spl12_21 ),
inference(avatar_component_clause,[],[f275]) ).
thf(f277,plain,
( spl12_19
| spl12_21 ),
inference(avatar_split_clause,[],[f168,f275,f267]) ).
thf(f279,definition,
( spl12_22
<=> ( ( eiw_di @ sK10 @ mactual )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl12_22])],[avatar_definition]) ).
thf(f281,plain,
( ( ( eiw_di @ sK10 @ mactual )
= $true )
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f279]) ).
thf(f282,plain,
( spl12_22
| spl12_19 ),
inference(avatar_split_clause,[],[f172,f267,f279]) ).
thf(f284,definition,
( spl12_23
<=> ( ( f @ sK10 @ mactual )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl12_23])],[avatar_definition]) ).
thf(f286,plain,
( ( ( f @ sK10 @ mactual )
= $true )
| ~ spl12_23 ),
inference(avatar_component_clause,[],[f284]) ).
thf(f287,plain,
( spl12_23
| spl12_19 ),
inference(avatar_split_clause,[],[f174,f267,f284]) ).
thf(f289,definition,
( spl12_24
<=> ( ( mrel @ mactual @ sK11 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl12_24])],[avatar_definition]) ).
thf(f291,plain,
( ( ( mrel @ mactual @ sK11 )
= $true )
| ~ spl12_24 ),
inference(avatar_component_clause,[],[f289]) ).
thf(f292,plain,
( spl12_19
| spl12_24 ),
inference(avatar_split_clause,[],[f178,f289,f267]) ).
thf(f294,definition,
( spl12_25
<=> ( $false
= ( h @ sK10 @ sK11 ) ) ),
introduced(definition,[new_symbols(definition,[spl12_25])],[avatar_definition]) ).
thf(f296,plain,
( ( $false
= ( h @ sK10 @ sK11 ) )
| ~ spl12_25 ),
inference(avatar_component_clause,[],[f294]) ).
thf(f297,plain,
( spl12_25
| spl12_19 ),
inference(avatar_split_clause,[],[f177,f267,f294]) ).
thf(f298,plain,
~ spl12_19,
inference(avatar_split_clause,[],[f66,f267]) ).
thf(f333,plain,
( ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( $false
= ( g @ sK10 @ mactual ) )
| ( ( mrel @ mactual @ sK11 )
= $false )
| ( $true = $false )
| ~ spl12_20
| ~ spl12_25 ),
inference(constrained_superposition,[],[f296,f272]) ).
thf(f334,plain,
( ( ( mrel @ mactual @ sK11 )
= $false )
| ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( $false
= ( g @ sK10 @ mactual ) )
| ~ spl12_20
| ~ spl12_25 ),
inference(trivial_inequality_removal,[],[f333]) ).
thf(f336,plain,
( ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( g @ sK10 @ mactual ) )
| ~ spl12_20
| ~ spl12_24
| ~ spl12_25 ),
inference(forward_demodulation,[],[f334,f291]) ).
thf(f337,plain,
( ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( $false
= ( g @ sK10 @ mactual ) )
| ~ spl12_20
| ~ spl12_24
| ~ spl12_25 ),
inference(trivial_inequality_removal,[],[f336]) ).
thf(f340,plain,
( ( $true = $false )
| ( $false
= ( g @ sK10 @ mactual ) )
| ~ spl12_20
| ~ spl12_22
| ~ spl12_24
| ~ spl12_25 ),
inference(forward_demodulation,[],[f337,f281]) ).
thf(f341,plain,
( ( $false
= ( g @ sK10 @ mactual ) )
| ~ spl12_20
| ~ spl12_22
| ~ spl12_24
| ~ spl12_25 ),
inference(trivial_inequality_removal,[],[f340]) ).
thf(f347,plain,
( ( $true = $false )
| ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( ( f @ sK10 @ mactual )
= $false )
| ( ( mrel @ mactual @ mactual )
= $false )
| ~ spl12_20
| ~ spl12_21
| ~ spl12_22
| ~ spl12_24
| ~ spl12_25 ),
inference(constrained_superposition,[],[f341,f276]) ).
thf(f349,plain,
( ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( ( mrel @ mactual @ mactual )
= $false )
| ( ( f @ sK10 @ mactual )
= $false )
| ~ spl12_20
| ~ spl12_21
| ~ spl12_22
| ~ spl12_24
| ~ spl12_25 ),
inference(trivial_inequality_removal,[],[f347]) ).
thf(f352,plain,
( ( ( mrel @ mactual @ mactual )
= $false )
| ( $true = $false )
| ( ( f @ sK10 @ mactual )
= $false )
| ~ spl12_20
| ~ spl12_21
| ~ spl12_22
| ~ spl12_24
| ~ spl12_25 ),
inference(forward_demodulation,[],[f349,f281]) ).
thf(f353,plain,
( ( ( mrel @ mactual @ mactual )
= $false )
| ( ( f @ sK10 @ mactual )
= $false )
| ~ spl12_20
| ~ spl12_21
| ~ spl12_22
| ~ spl12_24
| ~ spl12_25 ),
inference(trivial_inequality_removal,[],[f352]) ).
thf(f356,plain,
( ( $true = $false )
| ( ( f @ sK10 @ mactual )
= $false )
| ~ spl12_20
| ~ spl12_21
| ~ spl12_22
| ~ spl12_24
| ~ spl12_25 ),
inference(forward_demodulation,[],[f353,f49]) ).
thf(f357,plain,
( ( ( f @ sK10 @ mactual )
= $false )
| ~ spl12_20
| ~ spl12_21
| ~ spl12_22
| ~ spl12_24
| ~ spl12_25 ),
inference(trivial_inequality_removal,[],[f356]) ).
thf(f361,plain,
( ( $true = $false )
| ~ spl12_20
| ~ spl12_21
| ~ spl12_22
| ~ spl12_23
| ~ spl12_24
| ~ spl12_25 ),
inference(forward_demodulation,[],[f357,f286]) ).
thf(f362,plain,
( $false
| ~ spl12_20
| ~ spl12_21
| ~ spl12_22
| ~ spl12_23
| ~ spl12_24
| ~ spl12_25 ),
inference(trivial_inequality_removal,[],[f361]) ).
thf(f363,plain,
( ~ spl12_20
| ~ spl12_21
| ~ spl12_22
| ~ spl12_23
| ~ spl12_24
| ~ spl12_25 ),
inference(avatar_contradiction_clause,[],[f362]) ).
cnf(s17,plain,
( spl12_19
| spl12_20 ),
inference(sat_conversion,[],[f273]) ).
cnf(s18,plain,
( spl12_19
| spl12_21 ),
inference(sat_conversion,[],[f277]) ).
cnf(s19,plain,
( spl12_19
| spl12_22 ),
inference(sat_conversion,[],[f282]) ).
cnf(s20,plain,
( spl12_19
| spl12_23 ),
inference(sat_conversion,[],[f287]) ).
cnf(s21,plain,
( spl12_19
| spl12_24 ),
inference(sat_conversion,[],[f292]) ).
cnf(s22,plain,
( spl12_19
| spl12_25 ),
inference(sat_conversion,[],[f297]) ).
cnf(s23,plain,
~ spl12_19,
inference(sat_conversion,[],[f298]) ).
cnf(s28,plain,
( ~ spl12_20
| ~ spl12_21
| ~ spl12_22
| ~ spl12_23
| ~ spl12_24
| ~ spl12_25 ),
inference(sat_conversion,[],[f363]) ).
cnf(s30,plain,
spl12_25,
inference(rat,[],[s22,s23]) ).
cnf(s31,plain,
spl12_24,
inference(rat,[],[s21,s23]) ).
cnf(s32,plain,
spl12_23,
inference(rat,[],[s20,s23]) ).
cnf(s33,plain,
spl12_22,
inference(rat,[],[s19,s23]) ).
cnf(s35,plain,
spl12_21,
inference(rat,[],[s18,s23]) ).
cnf(s36,plain,
~ spl12_20,
inference(rat,[],[s28,s30,s31,s32,s33,s35]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s17,s36,s23]) ).
thf(f364,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO888^10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:28:27 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.28 % (910360)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.24/0.28 % (910371)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.24/0.28 % (910371)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
% 0.24/0.28 % (910371)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=2424060040:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.24/0.28 % (910371) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-910360-910371"...
% 0.24/0.28 % (910367)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3428261261:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.24/0.28 % (910366)lrs+10_16_si=on:nwc=1.5:random_seed=2717659742:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.24/0.28 % (910365)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=381808024:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.24/0.28 % (910369)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2539319747:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.24/0.28 % (910368)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2497374157:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.24/0.28 % (910370)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2259913758:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.24/0.28 % (910371)...printing done.
% 0.24/0.28 % (910371)Refutation found. Thanks to Tanya!
% 0.24/0.28 % SZS status Theorem for theBenchmark
% 0.24/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.29 % (910371)------------------------------
% 0.24/0.29 % (910371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.29 % (910371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.29 % (910371)CaDiCaL version: 2.1.3
% 0.24/0.29 % (910371)Termination reason: Refutation
% 0.24/0.29 % (910371)Time elapsed: 0.006 s
% 0.24/0.29 % (910371)Peak memory usage: 13 MB
% 0.24/0.29 % (910371)Instructions burned: 20 (million)
% 0.24/0.29 % (910360)Success in time 0.037 s
% 0.24/0.29 % Vampire exiting
%------------------------------------------------------------------------------