%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA053^18 : 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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:20:25 AM UTC 2026
% Result : Theorem 0.21s 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 12
% Syntax : Number of formulae : 108 ( 54 unt; 0 typ; 3 def)
% Number of atoms : 776 ( 160 equ; 0 cnn)
% Maximal formula atoms : 10 ( 7 avg)
% Number of connectives : 1104 ( 27 ~; 92 |; 55 &; 808 @)
% ( 3 <=>; 72 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 60 ( 60 >; 0 *; 0 +; 0 <<)
% Number of symbols : 43 ( 38 usr; 10 con; 0-4 aty)
% ( 29 !!; 18 ??; 0 @@+; 0 @@-)
% Number of variables : 237 ( 0 sgn 78 !; 2 ?; 237 :)
% 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,
h: $i > mworld > $o ).
thf(func_def_15,type,
bomb: $i > mworld > $o ).
thf(func_def_16,type,
defused: $i > mworld > $o ).
thf(func_def_17,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_18,type,
vAND: $o > $o > $o ).
thf(func_def_19,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_22,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_25,type,
vOR: $o > $o > $o ).
thf(func_def_26,type,
vNOT: $o > $o ).
thf(func_def_27,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_28,type,
vIMP: $o > $o > $o ).
thf(func_def_29,type,
vIFF: $o > $o > $o ).
thf(func_def_30,type,
sK0: mworld > $i ).
thf(func_def_31,type,
sK1: mworld > $i ).
thf(func_def_32,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
sK2: mworld ).
thf(func_def_35,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
sK5: mworld > $i > $i ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(f3,axiom,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) )
= mand ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).
thf(f5,axiom,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) )
= mimplies ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(f7,axiom,
( ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) )
= mbox ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(f9,axiom,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
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(f13,axiom,
( mexists_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
? [X2: $i] :
( ( eiw_di @ X2 @ X1 )
& ( X0 @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def) ).
thf(f16,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mexists_di
@ ^ [X1: $i] : ( mbox @ ( mimplies @ ( mand @ ( bomb @ X0 ) @ ( h @ X1 ) ) @ ( defused @ X0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(f17,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mexists_di
@ ^ [X1: $i] : ( mimplies @ ( mand @ ( bomb @ X0 ) @ ( h @ X1 ) ) @ ( defused @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f18,negated_conjecture,
~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mexists_di
@ ^ [X1: $i] : ( mimplies @ ( mand @ ( bomb @ X0 ) @ ( h @ X1 ) ) @ ( defused @ X0 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
thf(f23,plain,
~ ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mexists_di
@ ^ [X1: $i] : ( mimplies @ ( mand @ ( bomb @ X0 ) @ ( h @ X1 ) ) @ ( defused @ X0 ) ) ) ) ) ),
inference(rectify,[],[f18]) ).
thf(f24,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] : ( mimplies @ ( mand @ ( bomb @ Y0 ) @ ( h @ Y1 ) ) @ ( defused @ Y0 ) ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f23]) ).
thf(f33,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(rectify,[],[f9]) ).
thf(f34,plain,
! [X1: mworld,X0: mworld] :
( ( mrel @ X0 @ X1 )
= $true ),
inference(fool_elimination,[],[f33]) ).
thf(f35,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) )
= mand ),
inference(rectify,[],[f3]) ).
thf(f36,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f35]) ).
thf(f37,plain,
( mforall_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
! [X2: $i] :
( ( eiw_di @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f38,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f37]) ).
thf(f41,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) )
= mimplies ),
inference(rectify,[],[f5]) ).
thf(f42,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f41]) ).
thf(f45,plain,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X0: $i] :
( mexists_di
@ ^ [X1: $i] : ( mbox @ ( mimplies @ ( mand @ ( bomb @ X0 ) @ ( h @ X1 ) ) @ ( defused @ X0 ) ) ) ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f46,plain,
( $true
= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mand @ ( bomb @ Y0 ) @ ( h @ Y1 ) ) @ ( defused @ Y0 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f45]) ).
thf(f47,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f48,plain,
( mexists_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
? [X2: $i] :
( ( eiw_di @ X2 @ X1 )
& ( X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f13]) ).
thf(f49,plain,
( mexists_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
& ( eiw_di @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f48]) ).
thf(f50,plain,
( ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) )
= mbox ),
inference(rectify,[],[f7]) ).
thf(f51,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f50]) ).
thf(f52,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] : ( mimplies @ ( mand @ ( bomb @ Y0 ) @ ( h @ Y1 ) ) @ ( defused @ Y0 ) ) ) ) ) )
!= $true ),
inference(flattening,[],[f24]) ).
thf(f57,plain,
! [X0: mworld,X1: mworld] :
( ( mrel @ X1 @ X0 )
= $true ),
inference(rectify,[],[f34]) ).
thf(f63,plain,
( ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] : ( mimplies @ ( mand @ ( bomb @ Y0 ) @ ( h @ Y1 ) ) @ ( defused @ Y0 ) ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f52]) ).
thf(f65,plain,
( mexists_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
& ( eiw_di @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f49]) ).
thf(f66,plain,
! [X0: mworld,X1: mworld] :
( ( mrel @ X1 @ X0 )
= $true ),
inference(cnf_transformation,[],[f57]) ).
thf(f67,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f47]) ).
thf(f68,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f42]) ).
thf(f69,plain,
( mforall_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f38]) ).
thf(f70,plain,
( $true
= ( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] : ( mbox @ ( mimplies @ ( mand @ ( bomb @ Y0 ) @ ( h @ Y1 ) ) @ ( defused @ Y0 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f46]) ).
thf(f73,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f74,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f51]) ).
thf(f78,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 @ Y2 )
& ( eiw_di @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
& ( Y3 @ Y4 ) )
@ ( bomb @ Y0 )
@ ( h @ Y1 ) )
@ ( defused @ Y0 ) ) ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f63,f67,f74,f69,f65,f68,f73]) ).
thf(f79,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( !! @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 @ Y2 )
& ( eiw_di @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: mworld > $o,Y3: mworld] :
( !! @ mworld
@ ^ [Y4: mworld] :
( ( mrel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) )
@ ( ^ [Y2: mworld > $o,Y3: mworld > $o,Y4: mworld] :
( ( Y2 @ Y4 )
& ( Y3 @ Y4 ) )
@ ( bomb @ Y0 )
@ ( h @ Y1 ) )
@ ( defused @ Y0 ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f70,f67,f74,f69,f65,f74,f68,f73]) ).
thf(f89,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( ?? @ $i
@ ^ [Y2: $i] :
( ( ( ( bomb @ Y1 @ Y0 )
& ( h @ Y2 @ Y0 ) )
=> ( defused @ Y1 @ Y0 ) )
& ( eiw_di @ Y2 @ Y0 ) ) ) ) ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f78]) ).
thf(f90,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( ?? @ $i
@ ^ [Y2: $i] :
( ( ( ( bomb @ Y1 @ Y0 )
& ( h @ Y2 @ Y0 ) )
=> ( defused @ Y1 @ Y0 ) )
& ( eiw_di @ Y2 @ Y0 ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f89]) ).
thf(f91,plain,
( ( ( mrel @ mactual @ sK2 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ sK2 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( ( ( bomb @ Y0 @ sK2 )
& ( h @ Y1 @ sK2 ) )
=> ( defused @ Y0 @ sK2 ) )
& ( eiw_di @ Y1 @ sK2 ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f90]) ).
thf(f92,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ sK2 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( ( ( bomb @ Y0 @ sK2 )
& ( h @ Y1 @ sK2 ) )
=> ( defused @ Y0 @ sK2 ) )
& ( eiw_di @ Y1 @ sK2 ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f91]) ).
thf(f94,plain,
( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ sK2 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( ( ( bomb @ Y0 @ sK2 )
& ( h @ Y1 @ sK2 ) )
=> ( defused @ Y0 @ sK2 ) )
& ( eiw_di @ Y1 @ sK2 ) ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f92]) ).
thf(f95,plain,
( $false
= ( ( eiw_di @ sK3 @ sK2 )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( ( ( bomb @ sK3 @ sK2 )
& ( h @ Y0 @ sK2 ) )
=> ( defused @ sK3 @ sK2 ) )
& ( eiw_di @ Y0 @ sK2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f94]) ).
thf(f96,plain,
( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ( ( bomb @ sK3 @ sK2 )
& ( h @ Y0 @ sK2 ) )
=> ( defused @ sK3 @ sK2 ) )
& ( eiw_di @ Y0 @ sK2 ) ) ) ),
inference(imp_proxy_clausification,[],[f95]) ).
thf(f97,plain,
( ( eiw_di @ sK3 @ sK2 )
= $true ),
inference(imp_proxy_clausification,[],[f95]) ).
thf(f98,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( ( ( bomb @ sK3 @ sK2 )
& ( h @ Y0 @ sK2 ) )
=> ( defused @ sK3 @ sK2 ) )
& ( eiw_di @ Y0 @ sK2 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f96]) ).
thf(f99,plain,
! [X1: $i] :
( $false
= ( ( ( ( bomb @ sK3 @ sK2 )
& ( h @ X1 @ sK2 ) )
=> ( defused @ sK3 @ sK2 ) )
& ( eiw_di @ X1 @ sK2 ) ) ),
inference(beta-eta_normalization,[],[f98]) ).
thf(f100,plain,
! [X1: $i] :
( ( ( eiw_di @ X1 @ sK2 )
= $false )
| ( $false
= ( ( ( bomb @ sK3 @ sK2 )
& ( h @ X1 @ sK2 ) )
=> ( defused @ sK3 @ sK2 ) ) ) ),
inference(and_proxy_clausification,[],[f99]) ).
thf(f101,plain,
! [X1: $i] :
( ( ( eiw_di @ X1 @ sK2 )
= $false )
| ( $false
= ( defused @ sK3 @ sK2 ) ) ),
inference(imp_proxy_clausification,[],[f100]) ).
thf(f102,plain,
! [X1: $i] :
( ( ( ( bomb @ sK3 @ sK2 )
& ( h @ X1 @ sK2 ) )
= $true )
| ( ( eiw_di @ X1 @ sK2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f100]) ).
thf(f103,plain,
! [X1: $i] :
( ( ( h @ X1 @ sK2 )
= $true )
| ( ( eiw_di @ X1 @ sK2 )
= $false ) ),
inference(and_proxy_clausification,[],[f102]) ).
thf(f104,plain,
! [X1: $i] :
( ( ( bomb @ sK3 @ sK2 )
= $true )
| ( ( eiw_di @ X1 @ sK2 )
= $false ) ),
inference(and_proxy_clausification,[],[f102]) ).
thf(f121,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( ?? @ $i
@ ^ [Y2: $i] :
( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y3 )
=> ( ( ( bomb @ Y1 @ Y3 )
& ( h @ Y2 @ Y3 ) )
=> ( defused @ Y1 @ Y3 ) ) ) )
& ( eiw_di @ Y2 @ Y0 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f79]) ).
thf(f122,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
=> ( ?? @ $i
@ ^ [Y2: $i] :
( ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y3 )
=> ( ( ( bomb @ Y1 @ Y3 )
& ( h @ Y2 @ Y3 ) )
=> ( defused @ Y1 @ Y3 ) ) ) )
& ( eiw_di @ Y2 @ Y0 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f121]) ).
thf(f123,plain,
! [X1: mworld] :
( ( ( mrel @ mactual @ X1 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ X1 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ X1 @ Y2 )
=> ( ( ( bomb @ Y0 @ Y2 )
& ( h @ Y1 @ Y2 ) )
=> ( defused @ Y0 @ Y2 ) ) ) )
& ( eiw_di @ Y1 @ X1 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f122]) ).
thf(f124,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ X1 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ X1 @ Y2 )
=> ( ( ( bomb @ Y0 @ Y2 )
& ( h @ Y1 @ Y2 ) )
=> ( defused @ Y0 @ Y2 ) ) ) )
& ( eiw_di @ Y1 @ X1 ) ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f123]) ).
thf(f125,plain,
! [X2: $i,X1: mworld] :
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ X1 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ X1 @ Y2 )
=> ( ( ( bomb @ Y0 @ Y2 )
& ( h @ Y1 @ Y2 ) )
=> ( defused @ Y0 @ Y2 ) ) ) )
& ( eiw_di @ Y1 @ X1 ) ) ) )
@ X2 )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f124]) ).
thf(f126,plain,
! [X2: $i,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( ( eiw_di @ X2 @ X1 )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( ( ( bomb @ X2 @ Y1 )
& ( h @ Y0 @ Y1 ) )
=> ( defused @ X2 @ Y1 ) ) ) )
& ( eiw_di @ Y0 @ X1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f125]) ).
thf(f127,plain,
! [X2: $i,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( ( ( bomb @ X2 @ Y1 )
& ( h @ Y0 @ Y1 ) )
=> ( defused @ X2 @ Y1 ) ) ) )
& ( eiw_di @ Y0 @ X1 ) ) )
= $true )
| ( ( eiw_di @ X2 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f126]) ).
thf(f128,plain,
! [X2: $i,X1: mworld] :
( ( ( ^ [Y0: $i] :
( ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ X1 @ Y1 )
=> ( ( ( bomb @ X2 @ Y1 )
& ( h @ Y0 @ Y1 ) )
=> ( defused @ X2 @ Y1 ) ) ) )
& ( eiw_di @ Y0 @ X1 ) )
@ ( sK5 @ X1 @ X2 ) )
= $true )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f127]) ).
thf(f129,plain,
! [X2: $i,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( ( ( bomb @ X2 @ Y0 )
& ( h @ ( sK5 @ X1 @ X2 ) @ Y0 ) )
=> ( defused @ X2 @ Y0 ) ) ) )
& ( eiw_di @ ( sK5 @ X1 @ X2 ) @ X1 ) ) )
| ( ( eiw_di @ X2 @ X1 )
= $false ) ),
inference(beta-eta_normalization,[],[f128]) ).
thf(f130,plain,
! [X2: $i,X1: mworld] :
( ( $true
= ( eiw_di @ ( sK5 @ X1 @ X2 ) @ X1 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(and_proxy_clausification,[],[f129]) ).
thf(f131,plain,
! [X2: $i,X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( ( ( bomb @ X2 @ Y0 )
& ( h @ ( sK5 @ X1 @ X2 ) @ Y0 ) )
=> ( defused @ X2 @ Y0 ) ) ) )
= $true )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(and_proxy_clausification,[],[f129]) ).
thf(f132,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( ( ( bomb @ X2 @ Y0 )
& ( h @ ( sK5 @ X1 @ X2 ) @ Y0 ) )
=> ( defused @ X2 @ Y0 ) ) )
@ X3 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f131]) ).
thf(f133,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ( mrel @ X1 @ X3 )
=> ( ( ( bomb @ X2 @ X3 )
& ( h @ ( sK5 @ X1 @ X2 ) @ X3 ) )
=> ( defused @ X2 @ X3 ) ) )
= $true )
| ( ( eiw_di @ X2 @ X1 )
= $false ) ),
inference(beta-eta_normalization,[],[f132]) ).
thf(f134,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( ( ( ( bomb @ X2 @ X3 )
& ( h @ ( sK5 @ X1 @ X2 ) @ X3 ) )
=> ( defused @ X2 @ X3 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f133]) ).
thf(f135,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $false
= ( ( bomb @ X2 @ X3 )
& ( h @ ( sK5 @ X1 @ X2 ) @ X3 ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( defused @ X2 @ X3 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $false
= ( mrel @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f134]) ).
thf(f136,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $false
= ( h @ ( sK5 @ X1 @ X2 ) @ X3 ) )
| ( $true
= ( defused @ X2 @ X3 ) )
| ( $false
= ( bomb @ X2 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false ) ),
inference(and_proxy_clausification,[],[f135]) ).
thf(f138,definition,
( spl6_1
<=> ( ( bomb @ sK3 @ sK2 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
thf(f140,plain,
( ( ( bomb @ sK3 @ sK2 )
= $true )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f138]) ).
thf(f142,definition,
( spl6_2
<=> ! [X1: $i] :
( ( eiw_di @ X1 @ sK2 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
thf(f143,plain,
( ! [X1: $i] :
( ( eiw_di @ X1 @ sK2 )
= $false )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f142]) ).
thf(f144,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f104,f142,f138]) ).
thf(f146,definition,
( spl6_3
<=> ( $false
= ( defused @ sK3 @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
thf(f148,plain,
( ( $false
= ( defused @ sK3 @ sK2 ) )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f146]) ).
thf(f149,plain,
( spl6_3
| spl6_2 ),
inference(avatar_split_clause,[],[f101,f142,f146]) ).
thf(f152,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $false = $true )
| ( $false
= ( bomb @ X2 @ X3 ) )
| ( $true
= ( defused @ X2 @ X3 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( h @ ( sK5 @ X1 @ X2 ) @ X3 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false ) ),
inference(forward_demodulation,[],[f136,f66]) ).
thf(f153,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $false
= ( h @ ( sK5 @ X1 @ X2 ) @ X3 ) )
| ( $false
= ( mrel @ X1 @ X3 ) )
| ( $false
= ( bomb @ X2 @ X3 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $true
= ( defused @ X2 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f152]) ).
thf(f154,plain,
! [X2: $i,X1: mworld] :
( ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $true
= ( eiw_di @ ( sK5 @ X1 @ X2 ) @ X1 ) )
| ( $false = $true ) ),
inference(forward_demodulation,[],[f130,f66]) ).
thf(f155,plain,
! [X2: $i,X1: mworld] :
( ( $true
= ( eiw_di @ ( sK5 @ X1 @ X2 ) @ X1 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f154]) ).
thf(f158,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $false
= ( bomb @ X2 @ X3 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false )
| ( $false
= ( h @ ( sK5 @ X1 @ X2 ) @ X3 ) )
| ( $false = $true )
| ( $true
= ( defused @ X2 @ X3 ) ) ),
inference(forward_demodulation,[],[f153,f66]) ).
thf(f159,plain,
! [X2: $i,X3: mworld,X1: mworld] :
( ( $false
= ( h @ ( sK5 @ X1 @ X2 ) @ X3 ) )
| ( $false
= ( bomb @ X2 @ X3 ) )
| ( $true
= ( defused @ X2 @ X3 ) )
| ( ( eiw_di @ X2 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f158]) ).
thf(f160,plain,
( ( $false = $true )
| ~ spl6_2 ),
inference(constrained_superposition,[],[f143,f97]) ).
thf(f164,plain,
( $false
| ~ spl6_2 ),
inference(trivial_inequality_removal,[],[f160]) ).
thf(f165,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f164]) ).
thf(f267,plain,
! [X0: mworld,X1: $i] :
( ( ( defused @ X1 @ sK2 )
= $true )
| ( $false
= ( bomb @ X1 @ sK2 ) )
| ( ( eiw_di @ X1 @ X0 )
= $false )
| ( $false
= ( eiw_di @ ( sK5 @ X0 @ X1 ) @ sK2 ) )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f159,f103]) ).
thf(f269,plain,
! [X0: mworld,X1: $i] :
( ( $false
= ( eiw_di @ ( sK5 @ X0 @ X1 ) @ sK2 ) )
| ( $false
= ( bomb @ X1 @ sK2 ) )
| ( ( defused @ X1 @ sK2 )
= $true )
| ( ( eiw_di @ X1 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f267]) ).
thf(f271,plain,
! [X0: $i] :
( ( $true
= ( defused @ X0 @ sK2 ) )
| ( $false
= ( eiw_di @ X0 @ sK2 ) )
| ( ( bomb @ X0 @ sK2 )
= $false )
| ( $false
= ( eiw_di @ X0 @ sK2 ) )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f269,f155]) ).
thf(f276,plain,
! [X0: $i] :
( ( $false = $true )
| ( ( bomb @ X0 @ sK2 )
= $false )
| ( $false
= ( eiw_di @ X0 @ sK2 ) )
| ( $true
= ( defused @ X0 @ sK2 ) ) ),
inference(duplicate_literal_removal,[],[f271]) ).
thf(f277,plain,
! [X0: $i] :
( ( $true
= ( defused @ X0 @ sK2 ) )
| ( $false
= ( eiw_di @ X0 @ sK2 ) )
| ( ( bomb @ X0 @ sK2 )
= $false ) ),
inference(trivial_inequality_removal,[],[f276]) ).
thf(f285,plain,
( ( $false
= ( eiw_di @ sK3 @ sK2 ) )
| ( $false = $true )
| ( $false
= ( bomb @ sK3 @ sK2 ) )
| ~ spl6_3 ),
inference(constrained_superposition,[],[f148,f277]) ).
thf(f287,plain,
( ( $false
= ( eiw_di @ sK3 @ sK2 ) )
| ( $false
= ( bomb @ sK3 @ sK2 ) )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[],[f285]) ).
thf(f290,plain,
( ( $false
= ( bomb @ sK3 @ sK2 ) )
| ( $false = $true )
| ~ spl6_3 ),
inference(forward_demodulation,[],[f287,f97]) ).
thf(f291,plain,
( ( $false
= ( bomb @ sK3 @ sK2 ) )
| ~ spl6_3 ),
inference(trivial_inequality_removal,[],[f290]) ).
thf(f295,plain,
( ( $false = $true )
| ~ spl6_1
| ~ spl6_3 ),
inference(forward_demodulation,[],[f291,f140]) ).
thf(f296,plain,
( $false
| ~ spl6_1
| ~ spl6_3 ),
inference(trivial_inequality_removal,[],[f295]) ).
thf(f297,plain,
( ~ spl6_1
| ~ spl6_3 ),
inference(avatar_contradiction_clause,[],[f296]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f144]) ).
cnf(s2,plain,
( spl6_2
| spl6_3 ),
inference(sat_conversion,[],[f149]) ).
cnf(s4,plain,
~ spl6_2,
inference(sat_conversion,[],[f165]) ).
cnf(s6,plain,
( ~ spl6_1
| ~ spl6_3 ),
inference(sat_conversion,[],[f297]) ).
cnf(s7,plain,
spl6_3,
inference(rat,[],[s2,s4]) ).
cnf(s8,plain,
~ spl6_1,
inference(rat,[],[s6,s7]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s4,s8]) ).
thf(f298,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA053^18 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 13:20:33 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 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
% 0.21/0.30 % (744781)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.30 % (744790)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3206043010:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.30 % (744792)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.30 % (744792)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
% 0.21/0.30 % (744788)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2241322933:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.30 % (744787)lrs+10_16_si=on:nwc=1.5:random_seed=190677100:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.30 % (744786)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=529381818:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.30 % (744789)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=1145746895: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)
% 0.21/0.30 % (744791)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2309853545:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.30 % (744792)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=695741590:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.30 % (744790)Instruction limit reached!
% 0.21/0.30 % (744790)------------------------------
% 0.21/0.30 % (744790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (744790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (744790)CaDiCaL version: 2.1.3
% 0.21/0.30 % (744790)Termination reason: Instruction limit
% 0.21/0.30 % (744790)Termination phase: Saturation
% 0.21/0.30 % (744790)Time elapsed: 0.008 s
% 0.21/0.30 % (744790)Peak memory usage: 12 MB
% 0.21/0.30 % (744790)Instructions burned: 26 (million)
% 0.21/0.30 % (744788)Instruction limit reached!
% 0.21/0.30 % (744788)------------------------------
% 0.21/0.30 % (744788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (744788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (744788)CaDiCaL version: 2.1.3
% 0.21/0.30 % (744788)Termination reason: Instruction limit
% 0.21/0.30 % (744788)Termination phase: Property scanning
% 0.21/0.30 % (744788)Time elapsed: 0.002 s
% 0.21/0.30 % (744788)Peak memory usage: 10 MB
% 0.21/0.30 % (744788)Instructions burned: 3 (million)
% 0.21/0.30 % (744787)Instruction limit reached!
% 0.21/0.30 % (744787)------------------------------
% 0.21/0.30 % (744787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (744787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (744787)CaDiCaL version: 2.1.3
% 0.21/0.30 % (744787)Termination reason: Instruction limit
% 0.21/0.30 % (744787)Termination phase: Saturation
% 0.21/0.30 % (744787)Time elapsed: 0.011 s
% 0.21/0.30 % (744787)Peak memory usage: 12 MB
% 0.21/0.30 % (744787)Instructions burned: 20 (million)
% 0.21/0.30 % (744786) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-744781-744786"...
% 0.21/0.30 % (744792) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-744781-744792"...
% 0.21/0.30 % (744800)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1177786389:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.30 % (744800)Instruction limit reached!
% 0.21/0.30 % (744800)------------------------------
% 0.21/0.30 % (744800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (744800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (744800)CaDiCaL version: 2.1.3
% 0.21/0.30 % (744800)Termination reason: Instruction limit
% 0.21/0.30 % (744800)Termination phase: Saturation
% 0.21/0.30 % (744800)Time elapsed: 0.001 s
% 0.21/0.30 % (744800)Peak memory usage: 12 MB
% 0.21/0.30 % (744800)Instructions burned: 4 (million)
% 0.21/0.30 % (744786)...printing done.
% 0.21/0.30 % (744791) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-744781-744791"...
% 0.21/0.30 % (744786)Refutation found. Thanks to Tanya!
% 0.21/0.30 % SZS status Theorem for theBenchmark
% 0.21/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.30 % (744786)------------------------------
% 0.21/0.30 % (744786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (744786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (744786)CaDiCaL version: 2.1.3
% 0.21/0.30 % (744786)Termination reason: Refutation
% 0.21/0.30 % (744786)Time elapsed: 0.015 s
% 0.21/0.30 % (744786)Peak memory usage: 13 MB
% 0.21/0.30 % (744786)Instructions burned: 26 (million)
% 0.21/0.30 % (744781)Success in time 0.059 s
% 0.21/0.30 % Vampire exiting
%------------------------------------------------------------------------------