%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV310^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:38:14 AM UTC 2026
% Result : Theorem 0.22s 0.36s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 1
% Syntax : Number of formulae : 64 ( 45 unt; 0 typ; 0 def)
% Number of atoms : 504 ( 76 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 1258 ( 21 ~; 16 |; 0 &; 835 @)
% ( 0 <=>; 219 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 174 ( 174 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 16 usr; 6 con; 0-4 aty)
% ( 167 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 274 ( 222 ^; 52 !; 0 ?; 274 :)
% 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_11,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_12,type,
sK0: a ).
thf(func_def_13,type,
sK1: a ).
thf(func_def_14,type,
sK2: ( a > $o ) > a ).
thf(func_def_15,type,
sK3: a ).
thf(func_def_16,type,
sK4: a > $o ).
thf(func_def_17,type,
sK5: ( a > $o ) > 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] :
( ( cK @ X3 @ X4 )
=> ( X3 @ X4 ) )
=> ( X3 @ X2 ) )
=> ( cK
@ ^ [X4: a] :
! [X3: a > $o] :
( ! [X5: a] :
( ( cK @ X3 @ X5 )
=> ( X3 @ X5 ) )
=> ( X3 @ X4 ) )
@ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM90A_pme) ).
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] :
( ( cK @ X3 @ X4 )
=> ( X3 @ X4 ) )
=> ( X3 @ X2 ) )
=> ( cK
@ ^ [X4: a] :
! [X3: a > $o] :
( ! [X5: a] :
( ( cK @ X3 @ X5 )
=> ( 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] :
( ( cK @ X5 @ X6 )
=> ( X5 @ X6 ) )
=> ( X5 @ X4 ) )
=> ( cK
@ ^ [X7: a] :
! [X8: a > $o] :
( ! [X9: a] :
( ( cK @ X8 @ X9 )
=> ( X8 @ X9 ) )
=> ( X8 @ X7 ) )
@ X4 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,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 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,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 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( $false
= ( ( !! @ ( 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] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f5]) ).
thf(f9,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ 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] :
( $true
= ( ^ [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 ) ),
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] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X2 @ Y0 )
=> ( cK @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f15]) ).
thf(f17,plain,
! [X2: a > $o,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X2 @ Y0 )
=> ( cK @ X1 @ Y0 ) ) )
= $true )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f16]) ).
thf(f18,plain,
( $false
= ( ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f9]) ).
thf(f19,plain,
( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK0 ) ) )
=> ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK0 ) ) ),
inference(beta-eta_normalization,[],[f18]) ).
thf(f20,plain,
( $false
= ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK0 ) ),
inference(imp_proxy_clausification,[],[f19]) ).
thf(f21,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK0 ) ) ) ),
inference(imp_proxy_clausification,[],[f19]) ).
thf(f22,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f21]) ).
thf(f23,plain,
! [X1: a > $o] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( X1 @ Y0 ) ) )
=> ( X1 @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f22]) ).
thf(f26,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) )
@ Y0 )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
=> $false ) ),
inference(constrained_superposition,[],[f23,f20]) ).
thf(f28,plain,
( $true
= ( ~ ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) )
@ Y0 )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f26]) ).
thf(f31,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) )
@ Y0 )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f28]) ).
thf(f32,plain,
( ( ^ [Y0: a] :
( ( cK
@ ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) )
@ Y0 )
=> ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f31]) ).
thf(f33,plain,
( ( ( cK
@ ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) )
@ sK1 )
=> ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f32]) ).
thf(f44,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $true
= ( ^ [Y0: a] :
( ( cK @ X2 @ Y0 )
=> ( cK @ X1 @ Y0 ) )
@ X3 ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ),
inference(pi_proxy_clausification,[],[f17]) ).
thf(f45,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $true
= ( ( cK @ X2 @ X3 )
=> ( cK @ X1 @ X3 ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f102,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) )
| ( $true = $false ) ),
inference(constrained_superposition,[],[f33,f45]) ).
thf(f113,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(trivial_inequality_removal,[],[f102]) ).
thf(f114,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f113]) ).
thf(f128,plain,
( $false
= ( ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f114]) ).
thf(f129,plain,
( ( ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK3 )
=> ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK3 ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f128]) ).
thf(f130,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK3 ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f129]) ).
thf(f131,plain,
( ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK3 )
= $true ),
inference(imp_proxy_clausification,[],[f129]) ).
thf(f132,plain,
( $false
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ sK3 ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f130]) ).
thf(f133,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK4 @ Y0 )
=> ( sK4 @ Y0 ) ) )
=> ( sK4 @ sK3 ) ) ),
inference(beta-eta_normalization,[],[f132]) ).
thf(f134,plain,
( $false
= ( sK4 @ sK3 ) ),
inference(imp_proxy_clausification,[],[f133]) ).
thf(f135,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK4 @ Y0 )
=> ( sK4 @ Y0 ) ) ) ),
inference(imp_proxy_clausification,[],[f133]) ).
thf(f140,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( cK @ sK4 @ Y0 )
=> ( sK4 @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f135]) ).
thf(f141,plain,
! [X1: a] :
( $true
= ( ( cK @ sK4 @ X1 )
=> ( sK4 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f140]) ).
thf(f144,plain,
( $true
= ( ( cK @ sK4 @ sK3 )
=> $false ) ),
inference(constrained_superposition,[],[f141,f134]) ).
thf(f152,plain,
( ( ~ ( cK @ sK4 @ sK3 ) )
= $true ),
inference(boolean_simplification,[],[f144]) ).
thf(f159,plain,
( ( cK @ sK4 @ sK3 )
= $false ),
inference(not_proxy_clausification,[],[f152]) ).
thf(f185,plain,
! [X0: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X0 @ Y0 )
=> ( sK4 @ Y0 ) ) )
= $false )
| ( ( ( cK @ X0 @ sK3 )
=> $false )
= $true ) ),
inference(constrained_superposition,[],[f45,f159]) ).
thf(f188,plain,
! [X0: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X0 @ Y0 )
=> ( sK4 @ Y0 ) ) )
= $false )
| ( $true
= ( ~ ( cK @ X0 @ sK3 ) ) ) ),
inference(boolean_simplification,[],[f185]) ).
thf(f198,plain,
! [X0: a > $o] :
( ( ( ^ [Y0: a] :
( ( X0 @ Y0 )
=> ( sK4 @ Y0 ) )
@ ( sK5 @ X0 ) )
= $false )
| ( $true
= ( ~ ( cK @ X0 @ sK3 ) ) ) ),
inference(sigma_proxy_clausification,[],[f188]) ).
thf(f199,plain,
! [X0: a > $o] :
( ( ( ( X0 @ ( sK5 @ X0 ) )
=> ( sK4 @ ( sK5 @ X0 ) ) )
= $false )
| ( $true
= ( ~ ( cK @ X0 @ sK3 ) ) ) ),
inference(beta-eta_normalization,[],[f198]) ).
thf(f200,plain,
! [X0: a > $o] :
( ( $true
= ( ~ ( cK @ X0 @ sK3 ) ) )
| ( $false
= ( sK4 @ ( sK5 @ X0 ) ) ) ),
inference(imp_proxy_clausification,[],[f199]) ).
thf(f228,plain,
( ( ( sK4
@ ( sK5
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) ) )
= $false )
| ( $true = ( ~ $true ) ) ),
inference(constrained_superposition,[],[f200,f131]) ).
thf(f233,plain,
( ( ( sK4
@ ( sK5
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) ) )
= $false )
| ( $true = $false ) ),
inference(boolean_simplification,[],[f228]) ).
thf(f234,plain,
( ( sK4
@ ( sK5
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) ) )
= $false ),
inference(trivial_inequality_removal,[],[f233]) ).
thf(f236,plain,
( ( ( ~ ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK3 ) )
= $true )
| ( $false
= ( ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ( sK5
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) ) )
=> $false ) ) ),
inference(constrained_superposition,[],[f199,f234]) ).
thf(f239,plain,
( ( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0
@ ( sK5
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) )
=> $false ) )
| ( ( ~ ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK3 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f236]) ).
thf(f240,plain,
( ( ( ~ ( cK
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK3 ) )
= $true )
| ( $false
= ( ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0
@ ( sK5
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f239]) ).
thf(f241,plain,
( ( $false
= ( ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0
@ ( sK5
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ) ) )
| ( $true = ( ~ $true ) ) ),
inference(forward_demodulation,[],[f240,f131]) ).
thf(f242,plain,
( ( $false
= ( ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0
@ ( sK5
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ) ) )
| ( $true = $false ) ),
inference(boolean_simplification,[],[f241]) ).
thf(f243,plain,
( $false
= ( ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0
@ ( sK5
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f242]) ).
thf(f255,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0
@ ( sK5
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f243]) ).
thf(f256,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cK @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0
@ ( sK5
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cK @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f255]) ).
thf(f257,plain,
! [X1: a > $o] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( X1 @ Y0 ) ) )
=> ( X1
@ ( sK5
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f256]) ).
thf(f259,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK4 @ Y0 )
=> ( sK4 @ Y0 ) ) )
=> $false )
= $true ),
inference(constrained_superposition,[],[f257,f234]) ).
thf(f262,plain,
( $true
= ( ~ ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK4 @ Y0 )
=> ( sK4 @ Y0 ) ) ) ) ),
inference(boolean_simplification,[],[f259]) ).
thf(f265,plain,
( $true = ( ~ $true ) ),
inference(forward_demodulation,[],[f262,f135]) ).
thf(f266,plain,
$true = $false,
inference(boolean_simplification,[],[f265]) ).
thf(f267,plain,
$false,
inference(trivial_inequality_removal,[],[f266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV310^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n008.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 15:34:24 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.36 % (3303416)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.36 % (3303424)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=2168080821: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)
% 0.22/0.36 % (3303427)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.36 % (3303427)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.36 % (3303425)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2530875173:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.36 % (3303422)lrs+10_16_si=on:nwc=1.5:random_seed=2116830502:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.36 % (3303421)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=861589959:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.36 % (3303423)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3568129880:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.36 % (3303426)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3428048007:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.36 % (3303427)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=4062605057:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.36 % (3303423)Instruction limit reached!
% 0.22/0.36 % (3303423)------------------------------
% 0.22/0.36 % (3303423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303423)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303423)Termination reason: Instruction limit
% 0.22/0.36 % (3303423)Termination phase: Saturation
% 0.22/0.36 % (3303423)Time elapsed: 0.004 s
% 0.22/0.36 % (3303423)Peak memory usage: 12 MB
% 0.22/0.36 % (3303423)Instructions burned: 5 (million)
% 0.22/0.36 % (3303427)Refutation not found, incomplete strategy
% 0.22/0.36 % (3303427)------------------------------
% 0.22/0.36 % (3303427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303427)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303427)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.36 % (3303427)Time elapsed: 0.007 s
% 0.22/0.36 % (3303427)Peak memory usage: 12 MB
% 0.22/0.36 % (3303427)Instructions burned: 12 (million)
% 0.22/0.36 % (3303427)------------------------------
% 0.22/0.36 % (3303427)------------------------------
% 0.22/0.36 % (3303422)Instruction limit reached!
% 0.22/0.36 % (3303422)------------------------------
% 0.22/0.36 % (3303422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303422)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303422)Termination reason: Instruction limit
% 0.22/0.36 % (3303422)Termination phase: Saturation
% 0.22/0.36 % (3303422)Time elapsed: 0.010 s
% 0.22/0.36 % (3303422)Peak memory usage: 12 MB
% 0.22/0.36 % (3303422)Instructions burned: 18 (million)
% 0.22/0.36 % (3303425)Instruction limit reached!
% 0.22/0.36 % (3303425)------------------------------
% 0.22/0.36 % (3303425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303425)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303425)Termination reason: Instruction limit
% 0.22/0.36 % (3303425)Termination phase: Saturation
% 0.22/0.36 % (3303425)Time elapsed: 0.018 s
% 0.22/0.36 % (3303425)Peak memory usage: 12 MB
% 0.22/0.36 % (3303425)Instructions burned: 24 (million)
% 0.22/0.36 % (3303435)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2459674051:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.36 % (3303435)Instruction limit reached!
% 0.22/0.36 % (3303435)------------------------------
% 0.22/0.36 % (3303435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303435)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303435)Termination reason: Instruction limit
% 0.22/0.36 % (3303435)Termination phase: Saturation
% 0.22/0.36 % (3303435)Time elapsed: 0.002 s
% 0.22/0.36 % (3303435)Peak memory usage: 12 MB
% 0.22/0.36 % (3303435)Instructions burned: 3 (million)
% 0.22/0.36 % (3303437)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.36 % (3303437)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1524223711:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.22/0.36 % (3303437)Instruction limit reached!
% 0.22/0.36 % (3303437)------------------------------
% 0.22/0.36 % (3303437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303437)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303437)Termination reason: Instruction limit
% 0.22/0.36 % (3303437)Termination phase: Saturation
% 0.22/0.36 % (3303437)Time elapsed: 0.004 s
% 0.22/0.36 % (3303437)Peak memory usage: 12 MB
% 0.22/0.36 % (3303437)Instructions burned: 7 (million)
% 0.22/0.36 % (3303436)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=852888260:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.36 % (3303438)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3149017797:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.22/0.36 % (3303440)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.36 % (3303436)Instruction limit reached!
% 0.22/0.36 % (3303436)------------------------------
% 0.22/0.36 % (3303436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303440)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.36 % (3303436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303436)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303436)Termination reason: Instruction limit
% 0.22/0.36 % (3303436)Termination phase: Saturation
% 0.22/0.36 % (3303436)Time elapsed: 0.004 s
% 0.22/0.36 % (3303436)Peak memory usage: 12 MB
% 0.22/0.36 % (3303436)Instructions burned: 6 (million)
% 0.22/0.36 % (3303426)Instruction limit reached!
% 0.22/0.36 % (3303426)------------------------------
% 0.22/0.36 % (3303426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303426)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303426)Termination reason: Instruction limit
% 0.22/0.36 % (3303426)Termination phase: Saturation
% 0.22/0.36 % (3303426)Time elapsed: 0.041 s
% 0.22/0.36 % (3303426)Peak memory usage: 12 MB
% 0.22/0.36 % (3303426)Instructions burned: 76 (million)
% 0.22/0.36 % (3303440)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2167230998:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.22/0.36 % (3303438)Instruction limit reached!
% 0.22/0.36 % (3303438)------------------------------
% 0.22/0.36 % (3303438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303438)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303438)Termination reason: Instruction limit
% 0.22/0.36 % (3303438)Termination phase: Saturation
% 0.22/0.36 % (3303438)Time elapsed: 0.008 s
% 0.22/0.36 % (3303438)Peak memory usage: 12 MB
% 0.22/0.36 % (3303438)Instructions burned: 12 (million)
% 0.22/0.36 % (3303421)Instruction limit reached!
% 0.22/0.36 % (3303421)------------------------------
% 0.22/0.36 % (3303421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303421)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303421)Termination reason: Instruction limit
% 0.22/0.36 % (3303421)Termination phase: Saturation
% 0.22/0.36 % (3303421)Time elapsed: 0.050 s
% 0.22/0.36 % (3303421)Peak memory usage: 12 MB
% 0.22/0.36 % (3303421)Instructions burned: 87 (million)
% 0.22/0.36 % (3303442)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=242684743:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.22/0.36 % (3303446)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.22/0.36 % (3303440)Instruction limit reached!
% 0.22/0.36 % (3303440)------------------------------
% 0.22/0.36 % (3303440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303440)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303440)Termination reason: Instruction limit
% 0.22/0.36 % (3303440)Termination phase: Saturation
% 0.22/0.36 % (3303440)Time elapsed: 0.013 s
% 0.22/0.36 % (3303440)Peak memory usage: 12 MB
% 0.22/0.36 % (3303440)Instructions burned: 28 (million)
% 0.22/0.36 % (3303446)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=3037049533:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.36 % (3303446)Instruction limit reached!
% 0.22/0.36 % (3303446)------------------------------
% 0.22/0.36 % (3303446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303446)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303446)Termination reason: Instruction limit
% 0.22/0.36 % (3303446)Termination phase: Saturation
% 0.22/0.36 % (3303446)Time elapsed: 0.001 s
% 0.22/0.36 % (3303446)Peak memory usage: 12 MB
% 0.22/0.36 % (3303446)Instructions burned: 2 (million)
% 0.22/0.36 % (3303442) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3303416-3303442"...
% 0.22/0.36 % (3303449)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=808276901:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.22/0.36 % (3303445)lrs+10_1_si=on:cs=on:random_seed=660402066:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.22/0.36 % (3303442)...printing done.
% 0.22/0.36 % (3303442)Refutation found. Thanks to Tanya!
% 0.22/0.36 % SZS status Theorem for theBenchmark
% 0.22/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.36 % (3303442)------------------------------
% 0.22/0.36 % (3303442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (3303442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (3303442)CaDiCaL version: 2.1.3
% 0.22/0.36 % (3303442)Termination reason: Refutation
% 0.22/0.36 % (3303442)Time elapsed: 0.018 s
% 0.22/0.36 % (3303442)Peak memory usage: 12 MB
% 0.22/0.36 % (3303442)Instructions burned: 32 (million)
% 0.22/0.36 % (3303416)Success in time 0.109 s
% 0.22/0.36 % Vampire exiting
%------------------------------------------------------------------------------