%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV245^6 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 08:38:07 AM UTC 2026
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 3
% Syntax : Number of formulae : 66 ( 31 unt; 0 typ; 2 def)
% Number of atoms : 461 ( 69 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 973 ( 24 ~; 34 |; 45 &; 634 @)
% ( 2 <=>; 119 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 123 ( 123 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 18 usr; 8 con; 0-4 aty)
% ( 81 !!; 34 ??; 0 @@+; 0 @@-)
% Number of variables : 204 ( 0 sgn 45 !; 6 ?; 204 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cK: ( a > $o ) > a > $o ).
thf(func_def_2,type,
vNOT: $o > $o ).
thf(func_def_3,type,
vIMP: $o > $o > $o ).
thf(func_def_4,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_5,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_9,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_10,type,
vAND: $o > $o > $o ).
thf(func_def_13,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_14,type,
sK0: a ).
thf(func_def_15,type,
sK1: a > $o ).
thf(func_def_16,type,
sK2: ( a > $o ) > a ).
thf(func_def_18,type,
sK4: a ).
thf(f1,conjecture,
( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( cK @ X0 @ X2 )
=> ( cK @ X1 @ X2 ) ) )
=> ! [X2: a] :
( ? [X3: a > $o] :
( ! [X4: a] :
( ( X3 @ X4 )
=> ( cK @ X3 @ X4 ) )
& ( X3 @ X2 ) )
=> ( cK
@ ^ [X4: a] :
? [X3: a > $o] :
( ! [X5: a] :
( ( X3 @ X5 )
=> ( cK @ X3 @ X5 ) )
& ( X3 @ X4 ) )
@ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM116_2S) ).
thf(f2,negated_conjecture,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( cK @ X0 @ X2 )
=> ( cK @ X1 @ X2 ) ) )
=> ! [X2: a] :
( ? [X3: a > $o] :
( ! [X4: a] :
( ( X3 @ X4 )
=> ( cK @ X3 @ X4 ) )
& ( X3 @ X2 ) )
=> ( cK
@ ^ [X4: a] :
? [X3: a > $o] :
( ! [X5: a] :
( ( X3 @ X5 )
=> ( cK @ X3 @ X5 ) )
& ( X3 @ X4 ) )
@ X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X3: a] :
( ( cK @ X0 @ X3 )
=> ( cK @ X1 @ X3 ) ) )
=> ! [X4: a] :
( ? [X5: a > $o] :
( ! [X6: a] :
( ( X5 @ X6 )
=> ( cK @ X5 @ X6 ) )
& ( X5 @ X4 ) )
=> ( cK
@ ^ [X7: a] :
? [X8: a > $o] :
( ! [X9: a] :
( ( X8 @ X9 )
=> ( cK @ X8 @ X9 ) )
& ( X8 @ X7 ) )
@ X4 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( cK @ Y0 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( cK @ Y0 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( cK @ Y0 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f5]) ).
thf(f9,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) ) ) ),
inference(imp_proxy_clausification,[],[f8]) ).
thf(f10,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( cK @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f8]) ).
thf(f13,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( cK @ Y0 @ Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f10]) ).
thf(f14,plain,
! [X1: a > $o] :
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( cK @ X1 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f13]) ).
thf(f15,plain,
! [X2: a > $o,X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( cK @ X1 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f14]) ).
thf(f16,plain,
! [X2: a > $o,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X2 @ Y0 )
=> ( cK @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f15]) ).
thf(f17,plain,
! [X2: a > $o,X1: a > $o] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X2 @ Y0 )
=> ( cK @ X1 @ Y0 ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f16]) ).
thf(f18,plain,
( ( ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) )
@ Y0 ) )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f9]) ).
thf(f19,plain,
( ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) )
=> ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK0 ) )
= $false ),
inference(beta-eta_normalization,[],[f18]) ).
thf(f20,plain,
( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK0 )
= $false ),
inference(imp_proxy_clausification,[],[f19]) ).
thf(f21,plain,
( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f19]) ).
thf(f22,plain,
( $true
= ( ^ [Y0: a > $o] :
( ( Y0 @ sK0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f21]) ).
thf(f23,plain,
( $true
= ( ( sK1 @ sK0 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ Y0 )
=> ( cK @ sK1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f22]) ).
thf(f24,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ Y0 )
=> ( cK @ sK1 @ Y0 ) ) ) ),
inference(and_proxy_clausification,[],[f23]) ).
thf(f25,plain,
( ( sK1 @ sK0 )
= $true ),
inference(and_proxy_clausification,[],[f23]) ).
thf(f28,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( ( sK1 @ Y0 )
=> ( cK @ sK1 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f24]) ).
thf(f29,plain,
! [X1: a] :
( $true
= ( ( sK1 @ X1 )
=> ( cK @ sK1 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f28]) ).
thf(f30,plain,
! [X1: a] :
( ( $true
= ( cK @ sK1 @ X1 ) )
| ( $false
= ( sK1 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f29]) ).
thf(f31,plain,
( $true
= ( $true
=> ( cK @ sK1 @ sK0 ) ) ),
inference(constrained_superposition,[],[f29,f25]) ).
thf(f32,plain,
( $true
= ( cK @ sK1 @ sK0 ) ),
inference(boolean_simplification,[],[f31]) ).
thf(f41,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $true
= ( ^ [Y0: a] :
( ( cK @ X2 @ Y0 )
=> ( cK @ X1 @ Y0 ) )
@ X3 ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false ) ),
inference(pi_proxy_clausification,[],[f17]) ).
thf(f42,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $true
= ( ( cK @ X2 @ X3 )
=> ( cK @ X1 @ X3 ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f41]) ).
thf(f48,plain,
! [X0: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ Y0 )
=> ( X0 @ Y0 ) ) )
= $false )
| ( $true
= ( $true
=> ( cK @ X0 @ sK0 ) ) ) ),
inference(constrained_superposition,[],[f42,f32]) ).
thf(f52,plain,
! [X0: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ Y0 )
=> ( X0 @ Y0 ) ) )
= $false )
| ( $true
= ( cK @ X0 @ sK0 ) ) ),
inference(boolean_simplification,[],[f48]) ).
thf(f58,plain,
! [X0: a > $o] :
( ( ( ^ [Y0: a] :
( ( sK1 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK2 @ X0 ) )
= $false )
| ( $true
= ( cK @ X0 @ sK0 ) ) ),
inference(sigma_proxy_clausification,[],[f52]) ).
thf(f59,plain,
! [X0: a > $o] :
( ( $false
= ( ( sK1 @ ( sK2 @ X0 ) )
=> ( X0 @ ( sK2 @ X0 ) ) ) )
| ( $true
= ( cK @ X0 @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f58]) ).
thf(f60,plain,
! [X0: a > $o] :
( ( $true
= ( cK @ X0 @ sK0 ) )
| ( $false
= ( X0 @ ( sK2 @ X0 ) ) ) ),
inference(imp_proxy_clausification,[],[f59]) ).
thf(f74,plain,
( ( $true = $false )
| ( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ ( sK2
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ) ),
inference(constrained_superposition,[],[f20,f60]) ).
thf(f79,plain,
( ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ ( sK2
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ),
inference(trivial_inequality_removal,[],[f74]) ).
thf(f80,plain,
( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
@ ( sK2
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f79]) ).
thf(f89,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( Y0
@ ( sK2
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) )
@ X1 )
= $false ),
inference(pi_proxy_clausification,[],[f80]) ).
thf(f90,plain,
! [X1: a > $o] :
( $false
= ( ( X1
@ ( sK2
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( cK @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f89]) ).
thf(f92,plain,
( ( ( $true
& ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK1 @ Y0 )
=> ( cK @ ( cK @ sK1 ) @ Y0 ) ) ) )
= $false )
| ( ( sK1
@ ( sK2
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ) ),
inference(constrained_superposition,[],[f90,f30]) ).
thf(f93,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK1 @ Y0 )
=> ( cK @ ( cK @ sK1 ) @ Y0 ) ) )
= $false )
| ( ( sK1
@ ( sK2
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ) ),
inference(boolean_simplification,[],[f92]) ).
thf(f95,definition,
( spl3_1
<=> ( ( sK1
@ ( sK2
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
thf(f97,plain,
( ( ( sK1
@ ( sK2
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f95]) ).
thf(f99,definition,
( spl3_2
<=> ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK1 @ Y0 )
=> ( cK @ ( cK @ sK1 ) @ Y0 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
thf(f101,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK1 @ Y0 )
=> ( cK @ ( cK @ sK1 ) @ Y0 ) ) )
= $false )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f102,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f93,f99,f95]) ).
thf(f103,plain,
( ( ( ^ [Y0: a] :
( ( cK @ sK1 @ Y0 )
=> ( cK @ ( cK @ sK1 ) @ Y0 ) )
@ sK4 )
= $false )
| ~ spl3_2 ),
inference(sigma_proxy_clausification,[],[f101]) ).
thf(f104,plain,
( ( ( ( cK @ sK1 @ sK4 )
=> ( cK @ ( cK @ sK1 ) @ sK4 ) )
= $false )
| ~ spl3_2 ),
inference(beta-eta_normalization,[],[f103]) ).
thf(f109,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ Y0 )
=> ( cK @ sK1 @ Y0 ) ) )
= $false )
| ( $true = $false )
| ~ spl3_2 ),
inference(constrained_superposition,[],[f42,f104]) ).
thf(f111,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ Y0 )
=> ( cK @ sK1 @ Y0 ) ) )
= $false )
| ~ spl3_2 ),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f139,plain,
( ( ( ^ [Y0: a] :
( ( sK1 @ Y0 )
=> ( cK @ sK1 @ Y0 ) )
@ ( sK2 @ ( cK @ sK1 ) ) )
= $false )
| ~ spl3_2 ),
inference(sigma_proxy_clausification,[],[f111]) ).
thf(f140,plain,
( ( $false
= ( ( sK1 @ ( sK2 @ ( cK @ sK1 ) ) )
=> ( cK @ sK1 @ ( sK2 @ ( cK @ sK1 ) ) ) ) )
| ~ spl3_2 ),
inference(beta-eta_normalization,[],[f139]) ).
thf(f141,plain,
( ( $true = $false )
| ~ spl3_2 ),
inference(forward_demodulation,[],[f140,f29]) ).
thf(f142,plain,
( $false
| ~ spl3_2 ),
inference(trivial_inequality_removal,[],[f141]) ).
thf(f143,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f142]) ).
thf(f183,plain,
( ( $false
= ( $false
=> ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ ( sK2
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
| ( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK0 )
= $true )
| ~ spl3_1 ),
inference(constrained_superposition,[],[f59,f97]) ).
thf(f187,plain,
( ( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK0 )
= $true )
| ( ( $false
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0
@ ( sK2
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( Y2 @ Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) )
= $false )
| ~ spl3_1 ),
inference(beta-eta_normalization,[],[f183]) ).
thf(f188,plain,
( ( $true = $false )
| ( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK0 )
= $true )
| ~ spl3_1 ),
inference(boolean_simplification,[],[f187]) ).
thf(f189,plain,
( ( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ sK0 )
= $true )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f188]) ).
thf(f190,plain,
( ( $true = $false )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f189,f20]) ).
thf(f191,plain,
( $false
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f190]) ).
thf(f192,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f191]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f102]) ).
cnf(s4,plain,
~ spl3_2,
inference(sat_conversion,[],[f143]) ).
cnf(s6,plain,
~ spl3_1,
inference(sat_conversion,[],[f192]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s4,s6]) ).
thf(f193,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV245^6 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n005.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 15:26:47 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.37 % (1801693)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.37 % (1801702)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2807768594:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.37 % (1801701)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=1724426239: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)
% 0.21/0.37 % (1801700)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3557073222:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.37 % (1801698)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2251523561:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.37 % (1801699)lrs+10_16_si=on:nwc=1.5:random_seed=3829276265:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37 % (1801700)Instruction limit reached!
% 0.21/0.37 % (1801700)------------------------------
% 0.21/0.37 % (1801700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801700)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801700)Termination reason: Instruction limit
% 0.21/0.37 % (1801700)Termination phase: Saturation
% 0.21/0.37 % (1801700)Time elapsed: 0.003 s
% 0.21/0.37 % (1801700)Peak memory usage: 12 MB
% 0.21/0.37 % (1801700)Instructions burned: 4 (million)
% 0.21/0.37 % (1801704)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.37 % (1801704)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
% 0.21/0.37 % (1801702)Instruction limit reached!
% 0.21/0.37 % (1801702)------------------------------
% 0.21/0.37 % (1801702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801702)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801702)Termination reason: Instruction limit
% 0.21/0.37 % (1801702)Termination phase: Saturation
% 0.21/0.37 % (1801702)Time elapsed: 0.009 s
% 0.21/0.37 % (1801702)Peak memory usage: 12 MB
% 0.21/0.37 % (1801702)Instructions burned: 26 (million)
% 0.21/0.37 % (1801704)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=920903081:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.37 % (1801699)Instruction limit reached!
% 0.21/0.37 % (1801699)------------------------------
% 0.21/0.37 % (1801699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801699)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801699)Termination reason: Instruction limit
% 0.21/0.37 % (1801699)Termination phase: Saturation
% 0.21/0.37 % (1801699)Time elapsed: 0.011 s
% 0.21/0.37 % (1801699)Peak memory usage: 12 MB
% 0.21/0.37 % (1801699)Instructions burned: 18 (million)
% 0.21/0.37 % (1801703)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2081883058:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.37 % (1801711)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4219691049:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.37 % (1801711)Instruction limit reached!
% 0.21/0.37 % (1801711)------------------------------
% 0.21/0.37 % (1801711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801711)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801711)Termination reason: Instruction limit
% 0.21/0.37 % (1801711)Termination phase: Saturation
% 0.21/0.37 % (1801711)Time elapsed: 0.003 s
% 0.21/0.37 % (1801711)Peak memory usage: 12 MB
% 0.21/0.37 % (1801711)Instructions burned: 9 (million)
% 0.21/0.37 % (1801710)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=707394989:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37 % (1801710)Instruction limit reached!
% 0.21/0.37 % (1801710)------------------------------
% 0.21/0.37 % (1801710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801713)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.37 % (1801710)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801710)Termination reason: Instruction limit
% 0.21/0.37 % (1801710)Termination phase: Saturation
% 0.21/0.37 % (1801710)Time elapsed: 0.002 s
% 0.21/0.37 % (1801710)Peak memory usage: 12 MB
% 0.21/0.37 % (1801710)Instructions burned: 3 (million)
% 0.21/0.37 % (1801713)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=371851569:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.37 % (1801716)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3382224477:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.21/0.37 % (1801713)Instruction limit reached!
% 0.21/0.37 % (1801713)------------------------------
% 0.21/0.37 % (1801713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801713)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801713)Termination reason: Instruction limit
% 0.21/0.37 % (1801713)Termination phase: Saturation
% 0.21/0.37 % (1801713)Time elapsed: 0.004 s
% 0.21/0.37 % (1801713)Peak memory usage: 12 MB
% 0.21/0.37 % (1801713)Instructions burned: 8 (million)
% 0.21/0.37 % (1801716)Instruction limit reached!
% 0.21/0.37 % (1801716)------------------------------
% 0.21/0.37 % (1801716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801716)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801716)Termination reason: Instruction limit
% 0.21/0.37 % (1801716)Termination phase: Saturation
% 0.21/0.37 % (1801716)Time elapsed: 0.005 s
% 0.21/0.37 % (1801716)Peak memory usage: 12 MB
% 0.21/0.37 % (1801716)Instructions burned: 14 (million)
% 0.21/0.37 % (1801718)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
% 0.21/0.37 % (1801718)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.37 % (1801718)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=118807472:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.21/0.37 % (1801698)Instruction limit reached!
% 0.21/0.37 % (1801698)------------------------------
% 0.21/0.37 % (1801698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801698)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801698)Termination reason: Instruction limit
% 0.21/0.37 % (1801698)Termination phase: Saturation
% 0.21/0.37 % (1801698)Time elapsed: 0.048 s
% 0.21/0.37 % (1801698)Peak memory usage: 12 MB
% 0.21/0.37 % (1801698)Instructions burned: 88 (million)
% 0.21/0.37 % (1801722)lrs+10_1_si=on:cs=on:random_seed=2313566633:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.21/0.37 % (1801718)Instruction limit reached!
% 0.21/0.37 % (1801718)------------------------------
% 0.21/0.37 % (1801718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801718)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801718)Termination reason: Instruction limit
% 0.21/0.37 % (1801718)Termination phase: Saturation
% 0.21/0.37 % (1801718)Time elapsed: 0.015 s
% 0.21/0.37 % (1801718)Peak memory usage: 12 MB
% 0.21/0.37 % (1801718)Instructions burned: 28 (million)
% 0.21/0.37 % (1801722)Instruction limit reached!
% 0.21/0.37 % (1801722)------------------------------
% 0.21/0.37 % (1801722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801722)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801722)Termination reason: Instruction limit
% 0.21/0.37 % (1801722)Termination phase: Saturation
% 0.21/0.37 % (1801722)Time elapsed: 0.006 s
% 0.21/0.37 % (1801722)Peak memory usage: 12 MB
% 0.21/0.37 % (1801722)Instructions burned: 9 (million)
% 0.21/0.37 % (1801724)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.21/0.37 % (1801703)Instruction limit reached!
% 0.21/0.37 % (1801703)------------------------------
% 0.21/0.37 % (1801703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801703)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801703)Termination reason: Instruction limit
% 0.21/0.37 % (1801703)Termination phase: Saturation
% 0.21/0.37 % (1801703)Time elapsed: 0.055 s
% 0.21/0.37 % (1801703)Peak memory usage: 13 MB
% 0.21/0.37 % (1801703)Instructions burned: 76 (million)
% 0.21/0.37 % (1801724)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=580285306:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37 % (1801724)Instruction limit reached!
% 0.21/0.37 % (1801724)------------------------------
% 0.21/0.37 % (1801724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801724)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801724)Termination reason: Instruction limit
% 0.21/0.37 % (1801724)Termination phase: Saturation
% 0.21/0.37 % (1801724)Time elapsed: 0.001 s
% 0.21/0.37 % (1801724)Peak memory usage: 11 MB
% 0.21/0.37 % (1801724)Instructions burned: 3 (million)
% 0.21/0.37 % (1801721)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=1613639713:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.21/0.37 % (1801730)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2114233487:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.21/0.37 % (1801721) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1801693-1801721"...
% 0.21/0.37 % (1801727)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2391265613:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.21/0.37 % (1801726)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1457694683:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.21/0.37 % (1801721)...printing done.
% 0.21/0.37 % (1801721)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (1801721)------------------------------
% 0.21/0.37 % (1801721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (1801721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (1801721)CaDiCaL version: 2.1.3
% 0.21/0.37 % (1801721)Termination reason: Refutation
% 0.21/0.37 % (1801721)Time elapsed: 0.013 s
% 0.21/0.37 % (1801721)Peak memory usage: 13 MB
% 0.21/0.37 % (1801721)Instructions burned: 21 (million)
% 0.21/0.37 % (1801693)Success in time 0.121 s
% 0.21/0.37 % Vampire exiting
%------------------------------------------------------------------------------