%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV246^6 : 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 : n013.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 1.04s 0.41s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 3
% Syntax : Number of formulae : 80 ( 42 unt; 0 typ; 2 def)
% Number of atoms : 601 ( 86 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 1349 ( 24 ~; 37 |; 72 &; 888 @)
% ( 2 <=>; 156 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 174 ( 174 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 20 usr; 9 con; 0-4 aty)
% ( 112 !!; 58 ??; 0 @@+; 0 @@-)
% Number of variables : 280 ( 0 sgn 47 !; 6 ?; 280 :)
% 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,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
db1:
!>[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 ).
thf(func_def_16,type,
sK2: ( a > $o ) > a ).
thf(func_def_17,type,
sK3: a ).
thf(func_def_18,type,
sK4: a > $o ).
thf(func_def_19,type,
sK5: ( a > $o ) > a ).
thf(f1,conjecture,
( ! [X1: a > $o,X0: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( cK @ X0 @ X2 )
=> ( cK @ X1 @ X2 ) ) )
=> ! [X2: a] :
( ( cK
@ ^ [X3: a] :
? [X4: a > $o] :
( ( X4 @ X3 )
& ! [X5: a] :
( ( X4 @ X5 )
=> ( cK @ X4 @ X5 ) ) )
@ X2 )
=> ? [X4: a > $o] :
( ! [X3: a] :
( ( X4 @ X3 )
=> ( cK @ X4 @ X3 ) )
& ( X4 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM116_1S) ).
thf(f2,negated_conjecture,
~ ( ! [X1: a > $o,X0: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( cK @ X0 @ X2 )
=> ( cK @ X1 @ X2 ) ) )
=> ! [X2: a] :
( ( cK
@ ^ [X3: a] :
? [X4: a > $o] :
( ( X4 @ X3 )
& ! [X5: a] :
( ( X4 @ X5 )
=> ( cK @ X4 @ X5 ) ) )
@ X2 )
=> ? [X4: a > $o] :
( ! [X3: a] :
( ( X4 @ X3 )
=> ( cK @ X4 @ X3 ) )
& ( X4 @ X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ( X0 @ X2 ) )
=> ! [X3: a] :
( ( cK @ X1 @ X3 )
=> ( cK @ X0 @ X3 ) ) )
=> ! [X4: a] :
( ( cK
@ ^ [X5: a] :
? [X6: a > $o] :
( ( X6 @ X5 )
& ! [X7: a] :
( ( X6 @ X7 )
=> ( cK @ X6 @ X7 ) ) )
@ X4 )
=> ? [X8: a > $o] :
( ! [X9: a] :
( ( X8 @ X9 )
=> ( cK @ X8 @ X9 ) )
& ( X8 @ X4 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f5]) ).
thf(f9,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f8]) ).
thf(f10,plain,
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f8]) ).
thf(f13,plain,
! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( ( cK @ Y0 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f10]) ).
thf(f14,plain,
! [X1: a > $o] :
( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cK @ X1 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f13]) ).
thf(f15,plain,
! [X2: a > $o,X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( ( cK @ X1 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f14]) ).
thf(f16,plain,
! [X2: a > $o,X1: a > $o] :
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f15]) ).
thf(f17,plain,
! [X2: a > $o,X1: a > $o] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f16]) ).
thf(f18,plain,
( $false
= ( ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( Y1 @ Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f9]) ).
thf(f19,plain,
( ( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK0 )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f18]) ).
thf(f20,plain,
( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( Y0 @ sK0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f19]) ).
thf(f21,plain,
( $true
= ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK0 ) ),
inference(imp_proxy_clausification,[],[f19]) ).
thf(f22,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( Y0 @ sK0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) ) )
@ X1 )
= $false ),
inference(pi_proxy_clausification,[],[f20]) ).
thf(f23,plain,
! [X1: a > $o] :
( $false
= ( ( X1 @ sK0 )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( cK @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f22]) ).
thf(f26,plain,
( $false
= ( $true
& ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 ) ) ) ) ),
inference(constrained_superposition,[],[f23,f21]) ).
thf(f28,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 ) ) )
= $false ),
inference(boolean_simplification,[],[f26]) ).
thf(f29,plain,
( $false
= ( ^ [Y0: a] :
( ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK
@ ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f28]) ).
thf(f30,plain,
( ( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK1 )
=> ( cK
@ ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) )
@ sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f29]) ).
thf(f41,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false )
| ( $true
= ( ^ [Y0: a] :
( ( cK @ X1 @ Y0 )
=> ( cK @ X2 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f17]) ).
thf(f42,plain,
! [X2: a > $o,X3: a,X1: a > $o] :
( ( $true
= ( ( cK @ X1 @ X3 )
=> ( cK @ X2 @ X3 ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( X2 @ Y0 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f41]) ).
thf(f91,plain,
( ( $true = $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
= $false ) ),
inference(constrained_superposition,[],[f42,f30]) ).
thf(f103,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
= $false ),
inference(trivial_inequality_removal,[],[f91]) ).
thf(f104,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f103]) ).
thf(f117,plain,
( ( ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
=> ( cK
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) )
@ sK3 )
= $false ),
inference(sigma_proxy_clausification,[],[f104]) ).
thf(f118,plain,
( $false
= ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) )
=> ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK3 ) ) ),
inference(beta-eta_normalization,[],[f117]) ).
thf(f119,plain,
( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK3 )
= $false ),
inference(imp_proxy_clausification,[],[f118]) ).
thf(f120,plain,
( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f118]) ).
thf(f121,plain,
( $true
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f120]) ).
thf(f122,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( cK @ sK4 @ Y0 ) ) )
& ( sK4 @ sK3 ) )
= $true ),
inference(beta-eta_normalization,[],[f121]) ).
thf(f123,plain,
( ( sK4 @ sK3 )
= $true ),
inference(and_proxy_clausification,[],[f122]) ).
thf(f124,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( cK @ sK4 @ Y0 ) ) ) ),
inference(and_proxy_clausification,[],[f122]) ).
thf(f127,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( cK @ sK4 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f124]) ).
thf(f128,plain,
! [X1: a] :
( $true
= ( ( sK4 @ X1 )
=> ( cK @ sK4 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f127]) ).
thf(f129,plain,
! [X1: a] :
( ( $true
= ( cK @ sK4 @ X1 ) )
| ( $false
= ( sK4 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f128]) ).
thf(f133,plain,
( $true
= ( $true
=> ( cK @ sK4 @ sK3 ) ) ),
inference(constrained_superposition,[],[f128,f123]) ).
thf(f138,plain,
( ( cK @ sK4 @ sK3 )
= $true ),
inference(boolean_simplification,[],[f133]) ).
thf(f147,plain,
! [X0: a > $o] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
| ( $true
= ( $true
=> ( cK @ X0 @ sK3 ) ) ) ),
inference(constrained_superposition,[],[f42,f138]) ).
thf(f150,plain,
! [X0: a > $o] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
| ( $true
= ( cK @ X0 @ sK3 ) ) ),
inference(boolean_simplification,[],[f147]) ).
thf(f181,plain,
! [X0: a > $o] :
( ( $true
= ( cK @ X0 @ sK3 ) )
| ( ( ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK5 @ X0 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f150]) ).
thf(f182,plain,
! [X0: a > $o] :
( ( $false
= ( ( sK4 @ ( sK5 @ X0 ) )
=> ( X0 @ ( sK5 @ X0 ) ) ) )
| ( $true
= ( cK @ X0 @ sK3 ) ) ),
inference(beta-eta_normalization,[],[f181]) ).
thf(f183,plain,
! [X0: a > $o] :
( ( $true
= ( cK @ X0 @ sK3 ) )
| ( ( X0 @ ( sK5 @ X0 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f182]) ).
thf(f198,plain,
( ( ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) )
=> $true )
= $false )
| ( $false
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ ( sK5
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f118,f183]) ).
thf(f205,plain,
( ( ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) )
=> $true )
= $false )
| ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0
@ ( sK5
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f198]) ).
thf(f206,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0
@ ( sK5
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) )
| ( $true = $false ) ),
inference(boolean_simplification,[],[f205]) ).
thf(f207,plain,
( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0
@ ( sK5
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f206]) ).
thf(f212,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0
@ ( sK5
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) )
@ X1 )
= $false ),
inference(pi_proxy_clausification,[],[f207]) ).
thf(f213,plain,
! [X1: a > $o] :
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( cK @ X1 @ Y0 ) ) )
& ( X1
@ ( sK5
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f212]) ).
thf(f215,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK4 @ Y0 )
=> ( cK @ ( cK @ sK4 ) @ Y0 ) ) )
& $true )
= $false )
| ( $false
= ( sK4
@ ( sK5
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f213,f129]) ).
thf(f216,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK4 @ Y0 )
=> ( cK @ ( cK @ sK4 ) @ Y0 ) ) ) )
| ( $false
= ( sK4
@ ( sK5
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f215]) ).
thf(f218,definition,
( spl6_1
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK4 @ Y0 )
=> ( cK @ ( cK @ sK4 ) @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
thf(f220,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cK @ sK4 @ Y0 )
=> ( cK @ ( cK @ sK4 ) @ Y0 ) ) ) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f218]) ).
thf(f222,definition,
( spl6_2
<=> ( $false
= ( sK4
@ ( sK5
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
thf(f224,plain,
( ( $false
= ( sK4
@ ( sK5
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f222]) ).
thf(f225,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f216,f222,f218]) ).
thf(f227,plain,
( ( $false
= ( $false
=> ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ ( sK5
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) )
| ( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK3 )
= $true )
| ~ spl6_2 ),
inference(constrained_superposition,[],[f182,f224]) ).
thf(f230,plain,
( ( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK3 )
= $true )
| ( $false
= ( $false
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( cK @ Y0 @ Y1 ) ) )
& ( Y0
@ ( sK5
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( cK @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) ) )
| ~ spl6_2 ),
inference(beta-eta_normalization,[],[f227]) ).
thf(f231,plain,
( ( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK3 )
= $true )
| ( $true = $false )
| ~ spl6_2 ),
inference(boolean_simplification,[],[f230]) ).
thf(f232,plain,
( ( ( cK
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( cK @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK3 )
= $true )
| ~ spl6_2 ),
inference(trivial_inequality_removal,[],[f231]) ).
thf(f234,plain,
( ( $true = $false )
| ~ spl6_2 ),
inference(forward_demodulation,[],[f232,f119]) ).
thf(f235,plain,
( $false
| ~ spl6_2 ),
inference(trivial_inequality_removal,[],[f234]) ).
thf(f236,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f235]) ).
thf(f237,plain,
( ( $false
= ( ^ [Y0: a] :
( ( cK @ sK4 @ Y0 )
=> ( cK @ ( cK @ sK4 ) @ Y0 ) )
@ ( sK2 @ ( cK @ sK4 ) ) ) )
| ~ spl6_1 ),
inference(sigma_proxy_clausification,[],[f220]) ).
thf(f238,plain,
( ( ( ( cK @ sK4 @ ( sK2 @ ( cK @ sK4 ) ) )
=> ( cK @ ( cK @ sK4 ) @ ( sK2 @ ( cK @ sK4 ) ) ) )
= $false )
| ~ spl6_1 ),
inference(beta-eta_normalization,[],[f237]) ).
thf(f245,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( cK @ sK4 @ Y0 ) ) )
= $false )
| ( $true = $false )
| ~ spl6_1 ),
inference(constrained_superposition,[],[f42,f238]) ).
thf(f248,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( cK @ sK4 @ Y0 ) ) )
= $false )
| ~ spl6_1 ),
inference(trivial_inequality_removal,[],[f245]) ).
thf(f283,plain,
( ( ( ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( cK @ sK4 @ Y0 ) )
@ ( sK2 @ sK4 ) )
= $false )
| ~ spl6_1 ),
inference(sigma_proxy_clausification,[],[f248]) ).
thf(f284,plain,
( ( $false
= ( ( sK4 @ ( sK2 @ sK4 ) )
=> ( cK @ sK4 @ ( sK2 @ sK4 ) ) ) )
| ~ spl6_1 ),
inference(beta-eta_normalization,[],[f283]) ).
thf(f285,plain,
( ( $true = $false )
| ~ spl6_1 ),
inference(forward_demodulation,[],[f284,f128]) ).
thf(f286,plain,
( $false
| ~ spl6_1 ),
inference(trivial_inequality_removal,[],[f285]) ).
thf(f287,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f286]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f225]) ).
cnf(s2,plain,
~ spl6_2,
inference(sat_conversion,[],[f236]) ).
cnf(s5,plain,
~ spl6_1,
inference(sat_conversion,[],[f287]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s2,s5]) ).
thf(f288,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV246^6 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n013.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 15:26:36 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 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
% 1.04/0.41 % (2248641)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.04/0.41 % (2248652)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2323270276:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.04/0.41 % (2248654)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.04/0.41 % (2248654)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
% 1.04/0.41 % (2248651)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=1336814773: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)
% 1.04/0.41 % (2248650)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=214528755:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.04/0.41 % (2248648)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1101488967:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.04/0.41 % (2248649)lrs+10_16_si=on:nwc=1.5:random_seed=3276440424:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.04/0.41 % (2248654)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=4058005181:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.04/0.41 % (2248652)Instruction limit reached!
% 1.04/0.41 % (2248652)------------------------------
% 1.04/0.41 % (2248652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248652)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248652)Termination reason: Instruction limit
% 1.04/0.41 % (2248652)Termination phase: Saturation
% 1.04/0.41 % (2248652)Time elapsed: 0.013 s
% 1.04/0.41 % (2248652)Peak memory usage: 12 MB
% 1.04/0.41 % (2248652)Instructions burned: 26 (million)
% 1.04/0.41 % (2248653)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4277775810:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.04/0.41 % (2248650)Instruction limit reached!
% 1.04/0.41 % (2248650)------------------------------
% 1.04/0.41 % (2248650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248650)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248650)Termination reason: Instruction limit
% 1.04/0.41 % (2248650)Termination phase: Saturation
% 1.04/0.41 % (2248650)Time elapsed: 0.004 s
% 1.04/0.41 % (2248650)Peak memory usage: 12 MB
% 1.04/0.41 % (2248650)Instructions burned: 3 (million)
% 1.04/0.41 % (2248654)Refutation not found, incomplete strategy
% 1.04/0.41 % (2248654)------------------------------
% 1.04/0.41 % (2248654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248654)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248654)Termination reason: Refutation not found, incomplete strategy
% 1.04/0.41 % (2248654)Time elapsed: 0.011 s
% 1.04/0.41 % (2248654)Peak memory usage: 12 MB
% 1.04/0.41 % (2248654)Instructions burned: 11 (million)
% 1.04/0.41 % (2248654)------------------------------
% 1.04/0.41 % (2248654)------------------------------
% 1.04/0.41 % (2248649)Instruction limit reached!
% 1.04/0.41 % (2248649)------------------------------
% 1.04/0.41 % (2248649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248649)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248649)Termination reason: Instruction limit
% 1.04/0.41 % (2248649)Termination phase: Saturation
% 1.04/0.41 % (2248649)Time elapsed: 0.017 s
% 1.04/0.41 % (2248649)Peak memory usage: 12 MB
% 1.04/0.41 % (2248649)Instructions burned: 18 (million)
% 1.04/0.41 % (2248674)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3692640746:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.04/0.41 % (2248674)Instruction limit reached!
% 1.04/0.41 % (2248674)------------------------------
% 1.04/0.41 % (2248674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248674)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248674)Termination reason: Instruction limit
% 1.04/0.41 % (2248674)Termination phase: Saturation
% 1.04/0.41 % (2248674)Time elapsed: 0.002 s
% 1.04/0.41 % (2248674)Peak memory usage: 12 MB
% 1.04/0.41 % (2248674)Instructions burned: 3 (million)
% 1.04/0.41 % (2248684)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
% 1.04/0.41 % (2248684)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.04/0.41 % (2248675)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3881559712:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.04/0.41 % (2248679)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.04/0.41 % (2248684)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2875805767:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.04/0.41 % (2248675)Instruction limit reached!
% 1.04/0.41 % (2248675)------------------------------
% 1.04/0.41 % (2248675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248675)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248675)Termination reason: Instruction limit
% 1.04/0.41 % (2248675)Termination phase: Saturation
% 1.04/0.41 % (2248675)Time elapsed: 0.006 s
% 1.04/0.41 % (2248675)Peak memory usage: 12 MB
% 1.04/0.41 % (2248675)Instructions burned: 5 (million)
% 1.04/0.41 % (2248679)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2781550001:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.04/0.41 % (2248680)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2109339098:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.04/0.41 % (2248684)Instruction limit reached!
% 1.04/0.41 % (2248684)------------------------------
% 1.04/0.41 % (2248684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248684)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248684)Termination reason: Instruction limit
% 1.04/0.41 % (2248684)Termination phase: Saturation
% 1.04/0.41 % (2248684)Time elapsed: 0.012 s
% 1.04/0.41 % (2248684)Peak memory usage: 12 MB
% 1.04/0.41 % (2248684)Instructions burned: 28 (million)
% 1.04/0.41 % (2248679)Instruction limit reached!
% 1.04/0.41 % (2248679)------------------------------
% 1.04/0.41 % (2248679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248679)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248679)Termination reason: Instruction limit
% 1.04/0.41 % (2248679)Termination phase: Saturation
% 1.04/0.41 % (2248679)Time elapsed: 0.007 s
% 1.04/0.41 % (2248679)Peak memory usage: 12 MB
% 1.04/0.41 % (2248679)Instructions burned: 8 (million)
% 1.04/0.41 % (2248680)Instruction limit reached!
% 1.04/0.41 % (2248680)------------------------------
% 1.04/0.41 % (2248680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248680)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248680)Termination reason: Instruction limit
% 1.04/0.41 % (2248680)Termination phase: Saturation
% 1.04/0.41 % (2248680)Time elapsed: 0.013 s
% 1.04/0.41 % (2248680)Peak memory usage: 12 MB
% 1.04/0.41 % (2248680)Instructions burned: 12 (million)
% 1.04/0.41 % (2248653)Instruction limit reached!
% 1.04/0.41 % (2248653)------------------------------
% 1.04/0.41 % (2248653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248653)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248653)Termination reason: Instruction limit
% 1.04/0.41 % (2248653)Termination phase: Saturation
% 1.04/0.41 % (2248653)Time elapsed: 0.069 s
% 1.04/0.41 % (2248653)Peak memory usage: 12 MB
% 1.04/0.41 % (2248653)Instructions burned: 75 (million)
% 1.04/0.41 % (2248699)lrs+10_1_si=on:cs=on:random_seed=2804501201:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.04/0.41 % (2248697)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=2708267509:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.04/0.41 % (2248700)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.04/0.41 % (2248699)Instruction limit reached!
% 1.04/0.41 % (2248699)------------------------------
% 1.04/0.41 % (2248699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248699)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248699)Termination reason: Instruction limit
% 1.04/0.41 % (2248699)Termination phase: Saturation
% 1.04/0.41 % (2248699)Time elapsed: 0.006 s
% 1.04/0.41 % (2248699)Peak memory usage: 12 MB
% 1.04/0.41 % (2248699)Instructions burned: 8 (million)
% 1.04/0.41 % (2248648)Instruction limit reached!
% 1.04/0.41 % (2248648)------------------------------
% 1.04/0.41 % (2248648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248648)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248648)Termination reason: Instruction limit
% 1.04/0.41 % (2248648)Termination phase: Saturation
% 1.04/0.41 % (2248648)Time elapsed: 0.086 s
% 1.04/0.41 % (2248648)Peak memory usage: 12 MB
% 1.04/0.41 % (2248648)Instructions burned: 90 (million)
% 1.04/0.41 % (2248700)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=354570308:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.04/0.41 % (2248700)Instruction limit reached!
% 1.04/0.41 % (2248700)------------------------------
% 1.04/0.41 % (2248700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248700)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248700)Termination reason: Instruction limit
% 1.04/0.41 % (2248700)Termination phase: Saturation
% 1.04/0.41 % (2248700)Time elapsed: 0.005 s
% 1.04/0.41 % (2248700)Peak memory usage: 12 MB
% 1.04/0.41 % (2248700)Instructions burned: 4 (million)
% 1.04/0.41 % (2248704)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1464455388:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.04/0.41 % (2248697) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2248641-2248697"...
% 1.04/0.41 % (2248706)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=472556944:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.04/0.41 % (2248704)Refutation not found, incomplete strategy
% 1.04/0.41 % (2248704)------------------------------
% 1.04/0.41 % (2248704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248704)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248704)Termination reason: Refutation not found, incomplete strategy
% 1.04/0.41 % (2248704)Time elapsed: 0.010 s
% 1.04/0.41 % (2248704)Peak memory usage: 12 MB
% 1.04/0.41 % (2248704)Instructions burned: 14 (million)
% 1.04/0.41 % (2248704)------------------------------
% 1.04/0.41 % (2248704)------------------------------
% 1.04/0.41 % (2248697)...printing done.
% 1.04/0.41 % (2248697)Refutation found. Thanks to Tanya!
% 1.04/0.41 % SZS status Theorem for theBenchmark
% 1.04/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 1.04/0.41 % (2248697)------------------------------
% 1.04/0.41 % (2248697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.41 % (2248697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.41 % (2248697)CaDiCaL version: 2.1.3
% 1.04/0.41 % (2248697)Termination reason: Refutation
% 1.04/0.41 % (2248697)Time elapsed: 0.031 s
% 1.04/0.41 % (2248697)Peak memory usage: 13 MB
% 1.04/0.41 % (2248697)Instructions burned: 32 (million)
% 1.04/0.41 % (2248641)Success in time 0.15 s
% 1.04/0.41 % Vampire exiting
%------------------------------------------------------------------------------