%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV167^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 08:37:57 AM UTC 2026
% Result : Theorem 0.86s 0.38s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 3
% Syntax : Number of formulae : 61 ( 34 unt; 0 typ; 2 def)
% Number of atoms : 246 ( 122 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 562 ( 32 ~; 31 |; 18 &; 388 @)
% ( 2 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 262 ( 262 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 19 usr; 9 con; 0-4 aty)
% ( 53 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 284 ( 84 sgn 46 !; 0 ?; 284 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
vNOT: $o > $o ).
thf(func_def_2,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
vIMP: $o > $o > $o ).
thf(func_def_4,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_5,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_8,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_9,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
vAND: $o > $o > $o ).
thf(func_def_14,type,
sK0: a > a > a > a > $o ).
thf(func_def_15,type,
sK1: a ).
thf(func_def_16,type,
sK2: a ).
thf(func_def_17,type,
sK3: a ).
thf(func_def_18,type,
sK4: a ).
thf(f1,conjecture,
! [X0: a > a > a > a > $o] :
( ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [X3: a,X4: a] : X3 )
@ ( X1
@ ^ [X3: a,X4: a] : X4 )
@ ( X2
@ ^ [X3: a,X4: a] : X3 )
@ ( X2
@ ^ [X3: a,X4: a] : X4 ) )
=> ( X1 = X2 ) )
=> ! [X8: a,X5: a,X7: a,X6: a] :
( ( X0 @ X5 @ X6 @ X7 @ X8 )
=> ( ( X5 = X7 )
& ( X6 = X8 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM189_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > a > a > $o] :
( ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [X3: a,X4: a] : X3 )
@ ( X1
@ ^ [X3: a,X4: a] : X4 )
@ ( X2
@ ^ [X3: a,X4: a] : X3 )
@ ( X2
@ ^ [X3: a,X4: a] : X4 ) )
=> ( X1 = X2 ) )
=> ! [X8: a,X5: a,X7: a,X6: a] :
( ( X0 @ X5 @ X6 @ X7 @ X8 )
=> ( ( X5 = X7 )
& ( X6 = X8 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > a > a > a > $o] :
( ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( X0
@ ( X1
@ ^ [X3: a,X4: a] : X3 )
@ ( X1
@ ^ [X5: a,X6: a] : X6 )
@ ( X2
@ ^ [X7: a,X8: a] : X7 )
@ ( X2
@ ^ [X9: a,X10: a] : X10 ) )
=> ( X1 = X2 ) )
=> ! [X11: a,X12: a,X13: a,X14: a] :
( ( X0 @ X12 @ X14 @ X13 @ X11 )
=> ( ( X12 = X13 )
& ( X11 = X14 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( $true
= ( ~ ( !! @ ( a > a > a > a > $o )
@ ^ [Y0: a > a > a > a > $o] :
( ( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y2: ( a > a > a ) > a] :
( ( Y0
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y4 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) )
=> ( Y2 = Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y1 @ Y2 @ Y4 )
=> ( ( Y4 = Y1 )
& ( Y3 = Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( a > a > a > a > $o )
@ ^ [Y0: a > a > a > a > $o] :
( ( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y2: ( a > a > a ) > a] :
( ( Y0
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y4 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) )
=> ( Y2 = Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y1 @ Y2 @ Y4 )
=> ( ( Y4 = Y1 )
& ( Y3 = Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f7,plain,
( ( !! @ ( a > a > a > a > $o )
@ ^ [Y0: a > a > a > a > $o] :
( ( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y2: ( a > a > a ) > a] :
( ( Y0
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y4 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) )
=> ( Y2 = Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y1 @ Y2 @ Y4 )
=> ( ( Y4 = Y1 )
& ( Y3 = Y2 ) ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f5]) ).
thf(f8,plain,
( $false
= ( ^ [Y0: a > a > a > a > $o] :
( ( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y2: ( a > a > a ) > a] :
( ( Y0
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y4 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) )
=> ( Y2 = Y1 ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y1 @ Y2 @ Y4 )
=> ( ( Y4 = Y1 )
& ( Y3 = Y2 ) ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f7]) ).
thf(f9,plain,
( $false
= ( ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
=> ( Y1 = Y0 ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y3 = Y0 )
& ( Y2 = Y1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f8]) ).
thf(f10,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y3 = Y0 )
& ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f9]) ).
thf(f11,plain,
( $true
= ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f9]) ).
thf(f12,plain,
! [X1: ( a > a > a ) > a] :
( ( ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f11]) ).
thf(f13,plain,
! [X1: ( a > a > a ) > a] :
( $true
= ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( ( sK0
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y2 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f12]) ).
thf(f14,plain,
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y3 = Y0 )
& ( Y2 = Y1 ) ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f10]) ).
thf(f15,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ sK1 @ Y0 @ Y2 )
=> ( ( Y2 = sK1 )
& ( Y1 = Y0 ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f14]) ).
thf(f16,plain,
! [X2: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ^ [Y0: ( a > a > a ) > a] :
( ( sK0
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y2 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f13]) ).
thf(f17,plain,
! [X2: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( $true
= ( ( sK0
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
=> ( X2 = X1 ) ) ),
inference(beta-eta_normalization,[],[f16]) ).
thf(f18,plain,
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ sK1 @ Y0 @ Y2 )
=> ( ( Y2 = sK1 )
& ( Y1 = Y0 ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f15]) ).
thf(f19,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y0 @ sK1 @ sK2 @ Y1 )
=> ( ( Y1 = sK1 )
& ( Y0 = sK2 ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f18]) ).
thf(f20,plain,
! [X2: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( sK0
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $false )
| ( ( X2 = X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f17]) ).
thf(f21,plain,
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y0 @ sK1 @ sK2 @ Y1 )
=> ( ( Y1 = sK1 )
& ( Y0 = sK2 ) ) ) )
@ sK3 )
= $false ),
inference(sigma_proxy_clausification,[],[f19]) ).
thf(f22,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK3 @ sK1 @ sK2 @ Y0 )
=> ( ( Y0 = sK1 )
& ( sK3 = sK2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f21]) ).
thf(f23,plain,
! [X2: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( sK0
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $false )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f20]) ).
thf(f24,plain,
( $false
= ( ^ [Y0: a] :
( ( sK0 @ sK3 @ sK1 @ sK2 @ Y0 )
=> ( ( Y0 = sK1 )
& ( sK3 = sK2 ) ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f22]) ).
thf(f25,plain,
( ( ( sK0 @ sK3 @ sK1 @ sK2 @ sK4 )
=> ( ( sK4 = sK1 )
& ( sK3 = sK2 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f24]) ).
thf(f26,plain,
( ( ( sK4 = sK1 )
& ( sK3 = sK2 ) )
= $false ),
inference(imp_proxy_clausification,[],[f25]) ).
thf(f27,plain,
( $true
= ( sK0 @ sK3 @ sK1 @ sK2 @ sK4 ) ),
inference(imp_proxy_clausification,[],[f25]) ).
thf(f28,plain,
( ( $false
= ( sK3 = sK2 ) )
| ( $false
= ( sK4 = sK1 ) ) ),
inference(and_proxy_clausification,[],[f26]) ).
thf(f29,plain,
( ( $false
= ( sK4 = sK1 ) )
| ( sK3 != sK2 ) ),
inference(equality_proxy_clausification,[],[f28]) ).
thf(f30,plain,
( ( sK3 != sK2 )
| ( sK1 != sK4 ) ),
inference(equality_proxy_clausification,[],[f29]) ).
thf(f32,definition,
( spl5_1
<=> ( sK3 = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
thf(f34,plain,
( ( sK3 != sK2 )
| spl5_1 ),
inference(avatar_component_clause,[],[f32]) ).
thf(f36,definition,
( spl5_2
<=> ( sK1 = sK4 ) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
thf(f38,plain,
( ( sK1 != sK4 )
| spl5_2 ),
inference(avatar_component_clause,[],[f36]) ).
thf(f39,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f30,f36,f32]) ).
thf(f43,plain,
! [X2: ( a > a > a ) > a,X3: ( a > a > a ) > a] :
( ( ( X3
@ ^ [Y0: a,Y1: a] : Y0 )
!= sK2 )
| ( ( X3
@ ^ [Y0: a,Y1: a] : Y1 )
!= sK4 )
| ( sK1
!= ( X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( $false = $true )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( X2 @ Y0 ) ) )
= X3 ) ),
inference(constrained_superposition,[],[f27,f23]) ).
thf(f44,plain,
! [X2: ( a > a > a ) > a,X3: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( X2 @ Y0 ) ) )
= X3 )
| ( ( X3
@ ^ [Y0: a,Y1: a] : Y0 )
!= sK2 )
| ( sK1
!= ( X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( ( X3
@ ^ [Y0: a,Y1: a] : Y1 )
!= sK4 ) ),
inference(trivial_inequality_removal,[],[f43]) ).
thf(f45,plain,
! [X2: ( a > a > a ) > a,X3: ( a > a > a ) > a] :
( ( sK1
!= ( X2
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( ( X3
@ ^ [Y0: a,Y1: a] : Y1 )
!= sK4 )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ ( X2 @ Y0 ) ) )
= X3 )
| ( ( X3
@ ^ [Y0: a,Y1: a] : Y0 )
!= sK2 ) ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f54,plain,
! [X0: ( a > a > a ) > a] :
( ( ( X0
@ ^ [Y0: a,Y1: a] : Y1 )
!= sK4 )
| ( ( X0
@ ^ [Y0: a,Y1: a] : Y0 )
!= sK2 )
| ( ( ^ [Y0: a > a > a] :
( Y0 @ sK3
@ ( ^ [Y1: a > a > a] : sK1
@ Y0 ) ) )
= X0 ) ),
inference(equality_resolution,[],[f45]) ).
thf(f55,plain,
! [X0: ( a > a > a ) > a] :
( ( ( X0
@ ^ [Y0: a,Y1: a] : Y0 )
!= sK2 )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 ) )
= X0 )
| ( ( X0
@ ^ [Y0: a,Y1: a] : Y1 )
!= sK4 ) ),
inference(beta-eta_normalization,[],[f54]) ).
thf(f59,plain,
! [X2: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( X2 @ Y0 ) )
@ ^ [Y0: a,Y1: a] : Y1 )
!= sK4 )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( X2 @ Y0 ) ) ) ) ),
inference(equality_resolution,[],[f55]) ).
thf(f63,plain,
! [X2: ( a > a > a ) > a] :
( ( ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
!= sK4 )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ ( X2 @ Y0 ) ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 ) ) ) ),
inference(beta-eta_normalization,[],[f59]) ).
thf(f75,plain,
( ( ^ [Y0: a > a > a] :
( Y0 @ sK2
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 ) ) ),
inference(equality_resolution,[],[f63]) ).
thf(f76,plain,
( ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK4 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 ) ) ),
inference(beta-eta_normalization,[],[f75]) ).
thf(f79,plain,
! [X1: a > a > a] :
( ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK4 )
@ X1 )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 )
@ X1 ) ),
inference(argument_congruence,[],[f76]) ).
thf(f80,plain,
! [X1: a > a > a] :
( ( X1 @ sK3 @ sK1 )
= ( X1 @ sK2 @ sK4 ) ),
inference(beta-eta_normalization,[],[f79]) ).
thf(f83,plain,
! [X0: a > a > a] :
( ( X0 @ sK2
@ ( ^ [Y0: a,Y1: a] : Y1
@ sK3
@ sK1 ) )
= ( X0 @ sK3 @ sK1 ) ),
inference(constrained_superposition,[],[f80,f80]) ).
thf(f106,plain,
! [X0: a > a > a] :
( ( X0 @ sK3 @ sK1 )
= ( X0 @ sK2 @ sK1 ) ),
inference(beta-eta_normalization,[],[f83]) ).
thf(f107,plain,
! [X1: a > a > a] :
( ( X1 @ sK2 @ sK4 )
= ( X1 @ sK2 @ sK1 ) ),
inference(backward_demodulation,[],[f80,f106]) ).
thf(f118,plain,
( ( sK2
!= ( ^ [Y0: a,Y1: a] : Y0
@ sK2
@ sK1 ) )
| spl5_1 ),
inference(constrained_superposition,[],[f34,f106]) ).
thf(f119,plain,
( ( sK2 != sK2 )
| spl5_1 ),
inference(beta-eta_normalization,[],[f118]) ).
thf(f120,plain,
( $false
| spl5_1 ),
inference(trivial_inequality_removal,[],[f119]) ).
thf(f121,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f120]) ).
thf(f197,plain,
( ( sK1
!= ( ^ [Y0: a,Y1: a] : Y1
@ sK2
@ sK1 ) )
| spl5_2 ),
inference(constrained_superposition,[],[f38,f107]) ).
thf(f200,plain,
( ( sK1 != sK1 )
| spl5_2 ),
inference(beta-eta_normalization,[],[f197]) ).
thf(f201,plain,
( $false
| spl5_2 ),
inference(trivial_inequality_removal,[],[f200]) ).
thf(f202,plain,
spl5_2,
inference(avatar_contradiction_clause,[],[f201]) ).
cnf(s1,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(sat_conversion,[],[f39]) ).
cnf(s3,plain,
spl5_1,
inference(sat_conversion,[],[f121]) ).
cnf(s4,plain,
spl5_2,
inference(sat_conversion,[],[f202]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
thf(f216,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV167^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 15:18:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.32 % (1418945)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.32 % (1418950)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=947865771:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.32 % (1418950)Refutation not found, incomplete strategy
% 0.21/0.32 % (1418950)------------------------------
% 0.21/0.32 % (1418950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (1418950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (1418950)CaDiCaL version: 2.1.3
% 0.21/0.32 % (1418950)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.32 % (1418950)Time elapsed: 0.001 s
% 0.21/0.32 % (1418950)Peak memory usage: 12 MB
% 0.21/0.32 % (1418950)Instructions burned: 1 (million)
% 0.21/0.32 % (1418950)------------------------------
% 0.21/0.32 % (1418950)------------------------------
% 0.21/0.32 % (1418951)lrs+10_16_si=on:nwc=1.5:random_seed=1439245260:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.32 % (1418952)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=842344632:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.32 % (1418954)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=283932988:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.32 % (1418953)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=3739997462: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)
% 0.21/0.32 % (1418952)Refutation not found, incomplete strategy
% 0.21/0.32 % (1418952)------------------------------
% 0.21/0.32 % (1418952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (1418952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (1418952)CaDiCaL version: 2.1.3
% 0.21/0.32 % (1418952)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.32 % (1418952)Time elapsed: 0.001 s
% 0.21/0.32 % (1418952)Peak memory usage: 12 MB
% 0.21/0.32 % (1418952)Instructions burned: 1 (million)
% 0.21/0.32 % (1418954)Refutation not found, incomplete strategy
% 0.21/0.32 % (1418954)------------------------------
% 0.21/0.32 % (1418954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (1418954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (1418954)CaDiCaL version: 2.1.3
% 0.21/0.32 % (1418954)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.32 % (1418954)Time elapsed: 0.001 s
% 0.21/0.32 % (1418954)Peak memory usage: 12 MB
% 0.21/0.32 % (1418954)Instructions burned: 1 (million)
% 0.21/0.32 % (1418953)Refutation not found, incomplete strategy
% 0.21/0.32 % (1418953)------------------------------
% 0.21/0.32 % (1418953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (1418953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (1418953)CaDiCaL version: 2.1.3
% 0.21/0.32 % (1418953)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.32 % (1418953)Time elapsed: 0.002 s
% 0.21/0.32 % (1418953)Peak memory usage: 12 MB
% 0.21/0.32 % (1418953)Instructions burned: 1 (million)
% 0.21/0.32 % (1418952)------------------------------
% 0.21/0.32 % (1418952)------------------------------
% 0.21/0.32 % (1418954)------------------------------
% 0.21/0.32 % (1418954)------------------------------
% 0.21/0.32 % (1418956)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.32 % (1418956)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
% 0.21/0.32 % (1418953)------------------------------
% 0.21/0.32 % (1418953)------------------------------
% 0.21/0.32 % (1418958)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3630758974:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.32 % (1418958)Instruction limit reached!
% 0.21/0.32 % (1418958)------------------------------
% 0.21/0.32 % (1418958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (1418958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (1418958)CaDiCaL version: 2.1.3
% 0.21/0.33 % (1418958)Termination reason: Instruction limit
% 0.21/0.33 % (1418958)Termination phase: Saturation
% 0.21/0.33 % (1418958)Time elapsed: 0.001 s
% 0.21/0.33 % (1418958)Peak memory usage: 12 MB
% 0.21/0.33 % (1418958)Instructions burned: 3 (million)
% 0.21/0.33 % (1418956)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=2686183064:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.33 % (1418955)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=641772048:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.33 % (1418951)Instruction limit reached!
% 0.21/0.33 % (1418951)------------------------------
% 0.21/0.33 % (1418951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (1418951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (1418951)CaDiCaL version: 2.1.3
% 0.21/0.33 % (1418951)Termination reason: Instruction limit
% 0.21/0.33 % (1418951)Termination phase: Saturation
% 0.21/0.33 % (1418951)Time elapsed: 0.010 s
% 0.21/0.33 % (1418951)Peak memory usage: 12 MB
% 0.21/0.33 % (1418951)Instructions burned: 18 (million)
% 0.21/0.33 % (1418956)Refutation not found, incomplete strategy
% 0.21/0.33 % (1418956)------------------------------
% 0.21/0.33 % (1418956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (1418956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (1418956)CaDiCaL version: 2.1.3
% 0.21/0.33 % (1418956)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.33 % (1418956)Time elapsed: 0.003 s
% 0.21/0.33 % (1418956)Peak memory usage: 12 MB
% 0.21/0.33 % (1418956)Instructions burned: 4 (million)
% 0.21/0.33 % (1418956)------------------------------
% 0.21/0.33 % (1418956)------------------------------
% 0.21/0.33 % (1418968)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
% 0.21/0.33 % (1418968)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.33 % (1418968)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2819604686:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.21/0.33 % (1418964)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.33 % (1418965)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=666972192:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.21/0.33 % (1418963)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1397918043:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.33 % (1418964)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1501867851:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.33 % (1418968)Instruction limit reached!
% 0.21/0.33 % (1418968)------------------------------
% 0.21/0.33 % (1418968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (1418968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (1418968)CaDiCaL version: 2.1.3
% 0.21/0.33 % (1418968)Termination reason: Instruction limit
% 0.21/0.33 % (1418968)Termination phase: Saturation
% 0.21/0.33 % (1418968)Time elapsed: 0.008 s
% 0.21/0.33 % (1418968)Peak memory usage: 12 MB
% 0.21/0.33 % (1418968)Instructions burned: 32 (million)
% 0.21/0.33 % (1418963)Instruction limit reached!
% 0.21/0.33 % (1418963)------------------------------
% 0.21/0.33 % (1418963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.33 % (1418963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.33 % (1418963)CaDiCaL version: 2.1.3
% 0.21/0.33 % (1418963)Termination reason: Instruction limit
% 0.21/0.33 % (1418963)Termination phase: Saturation
% 0.21/0.33 % (1418963)Time elapsed: 0.005 s
% 0.21/0.33 % (1418963)Peak memory usage: 12 MB
% 0.21/0.33 % (1418963)Instructions burned: 6 (million)
% 0.21/0.35 % (1418964)Instruction limit reached!
% 0.21/0.35 % (1418964)------------------------------
% 0.21/0.35 % (1418964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (1418964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (1418964)CaDiCaL version: 2.1.3
% 0.21/0.35 % (1418964)Termination reason: Instruction limit
% 0.21/0.35 % (1418964)Termination phase: Saturation
% 0.21/0.35 % (1418964)Time elapsed: 0.005 s
% 0.21/0.35 % (1418964)Peak memory usage: 12 MB
% 0.21/0.35 % (1418964)Instructions burned: 10 (million)
% 0.21/0.35 % (1418970)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=997411941:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.21/0.35 % (1418971)lrs+10_1_si=on:cs=on:random_seed=2043841736:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.21/0.35 % (1418965)Instruction limit reached!
% 0.21/0.35 % (1418965)------------------------------
% 0.21/0.35 % (1418965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (1418965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (1418965)CaDiCaL version: 2.1.3
% 0.21/0.35 % (1418965)Termination reason: Instruction limit
% 0.21/0.35 % (1418965)Termination phase: Saturation
% 0.21/0.35 % (1418965)Time elapsed: 0.008 s
% 0.21/0.35 % (1418965)Peak memory usage: 12 MB
% 0.21/0.35 % (1418965)Instructions burned: 13 (million)
% 0.21/0.35 % (1418970)Refutation not found, incomplete strategy
% 0.21/0.35 % (1418970)------------------------------
% 0.21/0.35 % (1418970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (1418970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (1418970)CaDiCaL version: 2.1.3
% 0.21/0.35 % (1418970)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.35 % (1418970)Time elapsed: 0.005 s
% 0.21/0.35 % (1418970)Peak memory usage: 12 MB
% 0.21/0.35 % (1418970)Instructions burned: 7 (million)
% 0.21/0.35 % (1418976)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.21/0.35 % (1418970)------------------------------
% 0.21/0.35 % (1418970)------------------------------
% 0.21/0.35 % (1418971)Instruction limit reached!
% 0.21/0.35 % (1418971)------------------------------
% 0.21/0.35 % (1418971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (1418971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (1418976)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=1245771546:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.35 % (1418971)CaDiCaL version: 2.1.3
% 0.21/0.35 % (1418971)Termination reason: Instruction limit
% 0.21/0.35 % (1418971)Termination phase: Saturation
% 0.21/0.35 % (1418971)Time elapsed: 0.005 s
% 0.21/0.35 % (1418971)Peak memory usage: 12 MB
% 0.21/0.35 % (1418971)Instructions burned: 9 (million)
% 0.21/0.35 % (1418976)Refutation not found, incomplete strategy
% 0.21/0.35 % (1418976)------------------------------
% 0.21/0.35 % (1418976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (1418976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (1418976)CaDiCaL version: 2.1.3
% 0.21/0.35 % (1418976)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.35 % (1418976)Time elapsed: 0.001 s
% 0.21/0.35 % (1418976)Peak memory usage: 12 MB
% 0.21/0.35 % (1418976)Instructions burned: 4 (million)
% 0.21/0.35 % (1418976)------------------------------
% 0.21/0.35 % (1418976)------------------------------
% 0.21/0.35 % (1418955)Instruction limit reached!
% 0.21/0.35 % (1418955)------------------------------
% 0.21/0.35 % (1418955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (1418955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (1418955)CaDiCaL version: 2.1.3
% 0.21/0.35 % (1418955)Termination reason: Instruction limit
% 0.21/0.35 % (1418955)Termination phase: Saturation
% 0.21/0.35 % (1418955)Time elapsed: 0.038 s
% 0.21/0.35 % (1418955)Peak memory usage: 12 MB
% 0.21/0.35 % (1418955)Instructions burned: 76 (million)
% 0.21/0.35 % (1418977)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4285832937:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.86/0.38 % (1418979)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2414498349:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.86/0.38 % (1418977)Refutation not found, incomplete strategy
% 0.86/0.38 % (1418977)------------------------------
% 0.86/0.38 % (1418977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418977)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418977)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (1418977)Time elapsed: 0.001 s
% 0.86/0.38 % (1418977)Peak memory usage: 12 MB
% 0.86/0.38 % (1418977)Instructions burned: 1 (million)
% 0.86/0.38 % (1418985)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1449728024:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.86/0.38 % (1418981)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3053866941:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.86/0.38 % (1418977)------------------------------
% 0.86/0.38 % (1418977)------------------------------
% 0.86/0.38 % (1418979)Refutation not found, incomplete strategy
% 0.86/0.38 % (1418979)------------------------------
% 0.86/0.38 % (1418979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418979)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418979)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (1418979)Time elapsed: 0.002 s
% 0.86/0.38 % (1418979)Peak memory usage: 12 MB
% 0.86/0.38 % (1418979)Instructions burned: 1 (million)
% 0.86/0.38 % (1418979)------------------------------
% 0.86/0.38 % (1418979)------------------------------
% 0.86/0.38 % (1418981)Refutation not found, incomplete strategy
% 0.86/0.38 % (1418981)------------------------------
% 0.86/0.38 % (1418981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418981)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418981)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (1418981)Time elapsed: 0.001 s
% 0.86/0.38 % (1418981)Peak memory usage: 12 MB
% 0.86/0.38 % (1418981)Instructions burned: 1 (million)
% 0.86/0.38 % (1418981)------------------------------
% 0.86/0.38 % (1418981)------------------------------
% 0.86/0.38 % (1418982)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3475732052:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.86/0.38 % (1418985)Instruction limit reached!
% 0.86/0.38 % (1418985)------------------------------
% 0.86/0.38 % (1418985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418985)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418985)Termination reason: Instruction limit
% 0.86/0.38 % (1418985)Termination phase: Saturation
% 0.86/0.38 % (1418985)Time elapsed: 0.004 s
% 0.86/0.38 % (1418985)Peak memory usage: 12 MB
% 0.86/0.38 % (1418985)Instructions burned: 15 (million)
% 0.86/0.38 % (1418982)Refutation not found, incomplete strategy
% 0.86/0.38 % (1418982)------------------------------
% 0.86/0.38 % (1418982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418982)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418982)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (1418982)Time elapsed: 0.001 s
% 0.86/0.38 % (1418982)Peak memory usage: 12 MB
% 0.86/0.38 % (1418982)Instructions burned: 1 (million)
% 0.86/0.38 % (1418982)------------------------------
% 0.86/0.38 % (1418982)------------------------------
% 0.86/0.38 % (1418984)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1718308892:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.86/0.38 % (1418984)Refutation not found, incomplete strategy
% 0.86/0.38 % (1418984)------------------------------
% 0.86/0.38 % (1418984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418984)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418984)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (1418984)Time elapsed: 0.002 s
% 0.86/0.38 % (1418984)Peak memory usage: 12 MB
% 0.86/0.38 % (1418984)Instructions burned: 2 (million)
% 0.86/0.38 % (1418984)------------------------------
% 0.86/0.38 % (1418984)------------------------------
% 0.86/0.38 % (1418996)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.86/0.38 % (1418996)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=5391916:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.86/0.38 % (1418991)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=635866838:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.86/0.38 % (1418996)Refutation not found, incomplete strategy
% 0.86/0.38 % (1418996)------------------------------
% 0.86/0.38 % (1418996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418996)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418996)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (1418996)Time elapsed: 0.001 s
% 0.86/0.38 % (1418996)Peak memory usage: 12 MB
% 0.86/0.38 % (1418996)Instructions burned: 2 (million)
% 0.86/0.38 % (1418995)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.86/0.38 % (1418995)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.86/0.38 % (1418996)------------------------------
% 0.86/0.38 % (1418996)------------------------------
% 0.86/0.38 % (1418992)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2401485898:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.86/0.38 % (1418991)Refutation not found, incomplete strategy
% 0.86/0.38 % (1418991)------------------------------
% 0.86/0.38 % (1418991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418991)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418991)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (1418991)Time elapsed: 0.003 s
% 0.86/0.38 % (1418991)Peak memory usage: 12 MB
% 0.86/0.38 % (1418991)Instructions burned: 4 (million)
% 0.86/0.38 % (1418986)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1392734883:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.86/0.38 % (1418995)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1190478137:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.86/0.38 % (1418991)------------------------------
% 0.86/0.38 % (1418991)------------------------------
% 0.86/0.38 % (1418986)Refutation not found, incomplete strategy
% 0.86/0.38 % (1418986)------------------------------
% 0.86/0.38 % (1418986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418986)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418986)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (1418986)Time elapsed: 0.001 s
% 0.86/0.38 % (1418986)Peak memory usage: 12 MB
% 0.86/0.38 % (1418986)Instructions burned: 1 (million)
% 0.86/0.38 % (1418986)------------------------------
% 0.86/0.38 % (1418986)------------------------------
% 0.86/0.38 % (1418995)Refutation not found, incomplete strategy
% 0.86/0.38 % (1418995)------------------------------
% 0.86/0.38 % (1418995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418995)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418995)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (1418995)Time elapsed: 0.005 s
% 0.86/0.38 % (1418995)Peak memory usage: 12 MB
% 0.86/0.38 % (1418995)Instructions burned: 7 (million)
% 0.86/0.38 % (1418995)------------------------------
% 0.86/0.38 % (1418995)------------------------------
% 0.86/0.38 % (1419001)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3908745963:i=7:hud=5:bd=preordered:rtra=on:bet=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.86/0.38 % (1418993)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4080515212:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.86/0.38 % (1418993)Refutation not found, incomplete strategy
% 0.86/0.38 % (1418993)------------------------------
% 0.86/0.38 % (1418993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418998)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1723246213:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2999 on theBenchmark for (2999ds/31Mi)
% 0.86/0.38 % (1418993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418993)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418993)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (1418993)Time elapsed: 0.001 s
% 0.86/0.38 % (1418993)Peak memory usage: 12 MB
% 0.86/0.38 % (1418993)Instructions burned: 1 (million)
% 0.86/0.38 % (1419001)Instruction limit reached!
% 0.86/0.38 % (1419001)------------------------------
% 0.86/0.38 % (1419001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1419001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1419001)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1419001)Termination reason: Instruction limit
% 0.86/0.38 % (1419001)Termination phase: Saturation
% 0.86/0.38 % (1419001)Time elapsed: 0.003 s
% 0.86/0.38 % (1419001)Peak memory usage: 12 MB
% 0.86/0.38 % (1419001)Instructions burned: 8 (million)
% 0.86/0.38 % (1418992)Instruction limit reached!
% 0.86/0.38 % (1418992)------------------------------
% 0.86/0.38 % (1418992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418992)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418992)Termination reason: Instruction limit
% 0.86/0.38 % (1418992)Termination phase: Saturation
% 0.86/0.38 % (1418992)Time elapsed: 0.013 s
% 0.86/0.38 % (1418992)Peak memory usage: 11 MB
% 0.86/0.38 % (1418992)Instructions burned: 26 (million)
% 0.86/0.38 % (1418993)------------------------------
% 0.86/0.38 % (1418993)------------------------------
% 0.86/0.38 % (1419011)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2345909083:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 0.86/0.38 % (1419006)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4039089327:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 0.86/0.38 % (1419008)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2985329840:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 0.86/0.38 % (1418998) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1418945-1418998"...
% 0.86/0.38 % (1419008)Refutation not found, incomplete strategy
% 0.86/0.38 % (1419008)------------------------------
% 0.86/0.38 % (1419008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1419008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1419008)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1419008)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (1419008)Time elapsed: 0.004 s
% 0.86/0.38 % (1419008)Peak memory usage: 12 MB
% 0.86/0.38 % (1419008)Instructions burned: 6 (million)
% 0.86/0.38 % (1418998)...printing done.
% 0.86/0.38 % (1419013)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2146342603:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 0.86/0.38 % (1419012)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3633477599:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 0.86/0.38 % (1419008)------------------------------
% 0.86/0.38 % (1419008)------------------------------
% 0.86/0.38 % (1418998)Refutation found. Thanks to Tanya!
% 0.86/0.38 % SZS status Theorem for theBenchmark
% 0.86/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.86/0.38 % (1418998)------------------------------
% 0.86/0.38 % (1418998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (1418998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (1418998)CaDiCaL version: 2.1.3
% 0.86/0.38 % (1418998)Termination reason: Refutation
% 0.86/0.38 % (1418998)Time elapsed: 0.019 s
% 0.86/0.38 % (1418998)Peak memory usage: 13 MB
% 0.86/0.38 % (1418998)Instructions burned: 35 (million)
% 0.86/0.38 % (1418945)Success in time 0.134 s
% 0.86/0.38 % Vampire exiting
%------------------------------------------------------------------------------