%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM646^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 08:18:22 AM UTC 2026
% Result : Theorem 1.51s 0.53s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of formulae : 141 ( 64 unt; 0 typ; 5 def)
% Number of atoms : 654 ( 294 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 1409 ( 148 ~; 102 |; 0 &;1055 @)
% ( 5 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 22 usr; 12 con; 0-4 aty)
% ( 46 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 242 ( 0 sgn 111 !; 0 ?; 242 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
set: $tType ).
thf(func_def_0,type,
x: nat ).
thf(func_def_1,type,
y: nat ).
thf(func_def_2,type,
z: nat ).
thf(func_def_3,type,
pl: nat > nat > nat ).
thf(func_def_4,type,
esti: nat > set > $o ).
thf(func_def_5,type,
setof: ( nat > $o ) > set ).
thf(func_def_7,type,
n_1: nat ).
thf(func_def_8,type,
suc: nat > nat ).
thf(func_def_9,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_10,type,
vIMP: $o > $o > $o ).
thf(func_def_11,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_17,type,
vNOT: $o > $o ).
thf(func_def_18,type,
sK0: set > nat ).
thf(f1,axiom,
y != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n) ).
thf(f2,axiom,
! [X1: nat,X0: nat > $o] :
( ( esti @ X1 @ ( setof @ X0 ) )
=> ( X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',estie) ).
thf(f3,axiom,
! [X0: set] :
( ( esti @ n_1 @ X0 )
=> ( ! [X1: nat] :
( ( esti @ X1 @ X0 )
=> ( esti @ ( suc @ X1 ) @ X0 ) )
=> ! [X1: nat] : ( esti @ X1 @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(f4,axiom,
! [X0: nat > $o,X1: nat] :
( ( X0 @ X1 )
=> ( esti @ X1 @ ( setof @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',estii) ).
thf(f5,axiom,
! [X1: nat,X0: nat] :
( ( X0 != X1 )
=> ( ( suc @ X0 )
!= ( suc @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz1) ).
thf(f6,axiom,
! [X0: nat] :
( ( suc @ X0 )
= ( pl @ n_1 @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4g) ).
thf(f7,axiom,
! [X1: nat,X0: nat] :
( ( suc @ ( pl @ X0 @ X1 ) )
= ( pl @ ( suc @ X0 ) @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4h) ).
thf(f8,conjecture,
( ( pl @ x @ y )
!= ( pl @ x @ z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz8) ).
thf(f9,negated_conjecture,
~ ( ( ( pl @ x @ y )
!= ( pl @ x @ z ) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
thf(f10,plain,
! [X0: set] :
( ( esti @ n_1 @ X0 )
=> ( ! [X1: nat] :
( ( esti @ X1 @ X0 )
=> ( esti @ ( suc @ X1 ) @ X0 ) )
=> ! [X2: nat] : ( esti @ X2 @ X0 ) ) ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
( ( !! @ set
@ ^ [Y0: set] :
( ( esti @ n_1 @ Y0 )
=> ( ( !! @ nat
@ ^ [Y1: nat] :
( ( esti @ Y1 @ Y0 )
=> ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
=> ( !! @ nat
@ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: nat,X1: nat > $o] :
( ( esti @ X0 @ ( setof @ X1 ) )
=> ( X1 @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f13,plain,
( ( !! @ ( nat > $o )
@ ^ [Y0: nat > $o] :
( !! @ nat
@ ^ [Y1: nat] :
( ( esti @ Y1 @ ( setof @ Y0 ) )
=> ( Y0 @ Y1 ) ) ) )
= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: nat,X1: nat] :
( ( suc @ ( pl @ X1 @ X0 ) )
= ( pl @ ( suc @ X1 ) @ X0 ) ),
inference(rectify,[],[f7]) ).
thf(f15,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( suc @ ( pl @ Y0 @ Y1 ) )
= ( pl @ ( suc @ Y0 ) @ Y1 ) ) ) )
= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
=> ( ( suc @ X0 )
!= ( suc @ X1 ) ) ),
inference(rectify,[],[f5]) ).
thf(f17,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( Y1 != Y0 )
=> ( ( suc @ Y0 )
!= ( suc @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
y != z,
inference(fool_elimination,[],[f1]) ).
thf(f19,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( suc @ Y0 )
= ( pl @ n_1 @ Y0 ) ) )
= $true ),
inference(fool_elimination,[],[f6]) ).
thf(f20,plain,
! [X0: nat > $o,X1: nat] :
( ( X0 @ X1 )
=> ( esti @ X1 @ ( setof @ X0 ) ) ),
inference(rectify,[],[f4]) ).
thf(f21,plain,
( $true
= ( !! @ nat
@ ^ [Y0: nat] :
( !! @ ( nat > $o )
@ ^ [Y1: nat > $o] :
( ( Y1 @ Y0 )
=> ( esti @ Y0 @ ( setof @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f20]) ).
thf(f22,plain,
( ( pl @ x @ y )
= ( pl @ x @ z ) ),
inference(flattening,[],[f9]) ).
thf(f23,plain,
( ( pl @ x @ y )
= ( pl @ x @ z ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f24,plain,
( ( !! @ ( nat > $o )
@ ^ [Y0: nat > $o] :
( !! @ nat
@ ^ [Y1: nat] :
( ( esti @ Y1 @ ( setof @ Y0 ) )
=> ( Y0 @ Y1 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f13]) ).
thf(f25,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( Y1 != Y0 )
=> ( ( suc @ Y0 )
!= ( suc @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f17]) ).
thf(f26,plain,
( $true
= ( !! @ nat
@ ^ [Y0: nat] :
( !! @ ( nat > $o )
@ ^ [Y1: nat > $o] :
( ( Y1 @ Y0 )
=> ( esti @ Y0 @ ( setof @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f27,plain,
( ( !! @ set
@ ^ [Y0: set] :
( ( esti @ n_1 @ Y0 )
=> ( ( !! @ nat
@ ^ [Y1: nat] :
( ( esti @ Y1 @ Y0 )
=> ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
=> ( !! @ nat
@ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f11]) ).
thf(f28,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( suc @ Y0 )
= ( pl @ n_1 @ Y0 ) ) )
= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f29,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( suc @ ( pl @ Y0 @ Y1 ) )
= ( pl @ ( suc @ Y0 ) @ Y1 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f15]) ).
thf(f30,plain,
y != z,
inference(cnf_transformation,[],[f18]) ).
thf(f33,plain,
! [X1: nat] :
( ( ^ [Y0: nat] :
( !! @ ( nat > $o )
@ ^ [Y1: nat > $o] :
( ( Y1 @ Y0 )
=> ( esti @ Y0 @ ( setof @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f26]) ).
thf(f34,plain,
! [X1: nat] :
( ( !! @ ( nat > $o )
@ ^ [Y0: nat > $o] :
( ( Y0 @ X1 )
=> ( esti @ X1 @ ( setof @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f37,plain,
( ( ^ [Y0: nat > $o] :
( !! @ nat
@ ^ [Y1: nat] :
( ( esti @ Y1 @ ( setof @ Y0 ) )
=> ( Y0 @ Y1 ) ) )
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) )
= $true ),
inference(heuristic_instantiation,[],[f24]) ).
thf(f38,plain,
! [X1: nat > $o] :
( ( ^ [Y0: nat > $o] :
( !! @ nat
@ ^ [Y1: nat] :
( ( esti @ Y1 @ ( setof @ Y0 ) )
=> ( Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f24]) ).
thf(f39,plain,
! [X1: nat > $o] :
( $true
= ( !! @ nat
@ ^ [Y0: nat] :
( ( esti @ Y0 @ ( setof @ X1 ) )
=> ( X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( esti @ Y0
@ ( setof
@ ^ [Y1: nat] :
( ( pl @ Y1 @ y )
!= ( pl @ Y1 @ z ) ) ) )
=> ( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f37]) ).
thf(f43,plain,
! [X1: nat] :
( ( ^ [Y0: nat] :
( ( suc @ Y0 )
= ( pl @ n_1 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f28]) ).
thf(f44,plain,
! [X1: nat] :
( $true
= ( ( suc @ X1 )
= ( pl @ n_1 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f45,plain,
! [X1: nat] :
( ( ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( suc @ ( pl @ Y0 @ Y1 ) )
= ( pl @ ( suc @ Y0 ) @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f29]) ).
thf(f46,plain,
! [X1: nat] :
( ( !! @ nat
@ ^ [Y0: nat] :
( ( suc @ ( pl @ X1 @ Y0 ) )
= ( pl @ ( suc @ X1 ) @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f45]) ).
thf(f47,plain,
! [X1: set] :
( ( ^ [Y0: set] :
( ( esti @ n_1 @ Y0 )
=> ( ( !! @ nat
@ ^ [Y1: nat] :
( ( esti @ Y1 @ Y0 )
=> ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
=> ( !! @ nat
@ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f27]) ).
thf(f48,plain,
! [X1: set] :
( ( ( esti @ n_1 @ X1 )
=> ( ( !! @ nat
@ ^ [Y0: nat] :
( ( esti @ Y0 @ X1 )
=> ( esti @ ( suc @ Y0 ) @ X1 ) ) )
=> ( !! @ nat
@ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f47]) ).
thf(f49,plain,
! [X1: nat] :
( $true
= ( ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( Y1 != Y0 )
=> ( ( suc @ Y0 )
!= ( suc @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f25]) ).
thf(f50,plain,
! [X1: nat] :
( ( !! @ nat
@ ^ [Y0: nat] :
( ( Y0 != X1 )
=> ( ( suc @ X1 )
!= ( suc @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f49]) ).
thf(f53,plain,
! [X0: nat] :
( ( ^ [Y0: nat > $o] :
( ( Y0 @ X0 )
=> ( esti @ X0 @ ( setof @ Y0 ) ) )
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) )
= $true ),
inference(heuristic_instantiation,[],[f34]) ).
thf(f54,plain,
! [X2: nat > $o,X1: nat] :
( ( ^ [Y0: nat > $o] :
( ( Y0 @ X1 )
=> ( esti @ X1 @ ( setof @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f34]) ).
thf(f56,plain,
! [X0: nat] :
( ( ( ( pl @ X0 @ y )
!= ( pl @ X0 @ z ) )
=> ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f53]) ).
thf(f58,plain,
! [X2: nat > $o,X1: nat] :
( $true
= ( ( X2 @ X1 )
=> ( esti @ X1 @ ( setof @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f54]) ).
thf(f59,plain,
! [X2: nat,X1: nat > $o] :
( ( ^ [Y0: nat] :
( ( esti @ Y0 @ ( setof @ X1 ) )
=> ( X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f39]) ).
thf(f60,plain,
! [X2: nat,X1: nat > $o] :
( ( ( esti @ X2 @ ( setof @ X1 ) )
=> ( X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f59]) ).
thf(f61,plain,
! [X1: nat] :
( ( ^ [Y0: nat] :
( ( esti @ Y0
@ ( setof
@ ^ [Y1: nat] :
( ( pl @ Y1 @ y )
!= ( pl @ Y1 @ z ) ) ) )
=> ( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f40]) ).
thf(f62,plain,
! [X1: nat] :
( $true
= ( ( esti @ X1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
=> ( ( pl @ X1 @ y )
!= ( pl @ X1 @ z ) ) ) ),
inference(beta-eta_normalization,[],[f61]) ).
thf(f67,plain,
! [X1: nat] :
( ( suc @ X1 )
= ( pl @ n_1 @ X1 ) ),
inference(equality_proxy_clausification,[],[f44]) ).
thf(f68,plain,
! [X2: nat,X1: nat] :
( ( ^ [Y0: nat] :
( ( suc @ ( pl @ X1 @ Y0 ) )
= ( pl @ ( suc @ X1 ) @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f46]) ).
thf(f69,plain,
! [X2: nat,X1: nat] :
( ( ( suc @ ( pl @ X1 @ X2 ) )
= ( pl @ ( suc @ X1 ) @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f68]) ).
thf(f70,plain,
! [X1: set] :
( ( ( ( !! @ nat
@ ^ [Y0: nat] :
( ( esti @ Y0 @ X1 )
=> ( esti @ ( suc @ Y0 ) @ X1 ) ) )
=> ( !! @ nat
@ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) ) )
= $true )
| ( $false
= ( esti @ n_1 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f48]) ).
thf(f71,plain,
! [X2: nat,X1: nat] :
( ( ^ [Y0: nat] :
( ( Y0 != X1 )
=> ( ( suc @ X1 )
!= ( suc @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f50]) ).
thf(f72,plain,
! [X2: nat,X1: nat] :
( ( ( X2 != X1 )
=> ( ( suc @ X1 )
!= ( suc @ X2 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f71]) ).
thf(f74,plain,
! [X0: nat] :
( ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true )
| ( $false
= ( ( pl @ X0 @ y )
!= ( pl @ X0 @ z ) ) ) ),
inference(imp_proxy_clausification,[],[f56]) ).
thf(f76,plain,
! [X2: nat > $o,X1: nat] :
( ( $true
= ( esti @ X1 @ ( setof @ X2 ) ) )
| ( $false
= ( X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f58]) ).
thf(f77,plain,
! [X2: nat,X1: nat > $o] :
( ( $false
= ( esti @ X2 @ ( setof @ X1 ) ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f60]) ).
thf(f78,plain,
! [X1: nat] :
( ( $true
= ( ( pl @ X1 @ y )
!= ( pl @ X1 @ z ) ) )
| ( $false
= ( esti @ X1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f62]) ).
thf(f81,plain,
! [X2: nat,X1: nat] :
( ( pl @ ( suc @ X1 ) @ X2 )
= ( suc @ ( pl @ X1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f69]) ).
thf(f82,plain,
! [X1: set] :
( ( $false
= ( !! @ nat
@ ^ [Y0: nat] :
( ( esti @ Y0 @ X1 )
=> ( esti @ ( suc @ Y0 ) @ X1 ) ) ) )
| ( ( !! @ nat
@ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) )
= $true )
| ( $false
= ( esti @ n_1 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f70]) ).
thf(f83,plain,
! [X2: nat,X1: nat] :
( ( ( ( suc @ X1 )
!= ( suc @ X2 ) )
= $true )
| ( $false
= ( X2 != X1 ) ) ),
inference(imp_proxy_clausification,[],[f72]) ).
thf(f85,plain,
! [X0: nat] :
( ( $true
= ( ( pl @ X0 @ y )
= ( pl @ X0 @ z ) ) )
| ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f74]) ).
thf(f87,plain,
! [X1: nat] :
( ( $false
= ( ( pl @ X1 @ y )
= ( pl @ X1 @ z ) ) )
| ( $false
= ( esti @ X1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f78]) ).
thf(f90,plain,
! [X1: set] :
( ( $false
= ( ^ [Y0: nat] :
( ( esti @ Y0 @ X1 )
=> ( esti @ ( suc @ Y0 ) @ X1 ) )
@ ( sK0 @ X1 ) ) )
| ( $false
= ( esti @ n_1 @ X1 ) )
| ( ( !! @ nat
@ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f82]) ).
thf(f91,plain,
! [X1: set] :
( ( $false
= ( ( esti @ ( sK0 @ X1 ) @ X1 )
=> ( esti @ ( suc @ ( sK0 @ X1 ) ) @ X1 ) ) )
| ( ( !! @ nat
@ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) )
= $true )
| ( $false
= ( esti @ n_1 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f90]) ).
thf(f92,plain,
! [X2: nat,X1: nat] :
( ( $false
= ( X2 != X1 ) )
| ( $false
= ( ( suc @ X1 )
= ( suc @ X2 ) ) ) ),
inference(not_proxy_clausification,[],[f83]) ).
thf(f94,plain,
! [X0: nat] :
( ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true )
| ( ( pl @ X0 @ y )
= ( pl @ X0 @ z ) ) ),
inference(equality_proxy_clausification,[],[f85]) ).
thf(f96,plain,
! [X1: nat] :
( ( ( pl @ X1 @ y )
!= ( pl @ X1 @ z ) )
| ( $false
= ( esti @ X1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f87]) ).
thf(f99,plain,
! [X1: set] :
( ( $false
= ( esti @ n_1 @ X1 ) )
| ( ( !! @ nat
@ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) )
= $true )
| ( $false
= ( esti @ ( suc @ ( sK0 @ X1 ) ) @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f91]) ).
thf(f100,plain,
! [X1: set] :
( ( $false
= ( esti @ n_1 @ X1 ) )
| ( ( !! @ nat
@ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) )
= $true )
| ( ( esti @ ( sK0 @ X1 ) @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f91]) ).
thf(f101,plain,
! [X2: nat,X1: nat] :
( ( $true
= ( X2 = X1 ) )
| ( $false
= ( ( suc @ X1 )
= ( suc @ X2 ) ) ) ),
inference(not_proxy_clausification,[],[f92]) ).
thf(f104,plain,
! [X2: nat,X1: set] :
( ( $false
= ( esti @ n_1 @ X1 ) )
| ( $false
= ( esti @ ( suc @ ( sK0 @ X1 ) ) @ X1 ) )
| ( ( ^ [Y0: nat] : ( esti @ Y0 @ X1 )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f99]) ).
thf(f105,plain,
! [X2: nat,X1: set] :
( ( $false
= ( esti @ ( suc @ ( sK0 @ X1 ) ) @ X1 ) )
| ( $true
= ( esti @ X2 @ X1 ) )
| ( $false
= ( esti @ n_1 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f104]) ).
thf(f106,plain,
! [X2: nat,X1: set] :
( ( $false
= ( esti @ n_1 @ X1 ) )
| ( ( ^ [Y0: nat] : ( esti @ Y0 @ X1 )
@ X2 )
= $true )
| ( ( esti @ ( sK0 @ X1 ) @ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f100]) ).
thf(f107,plain,
! [X2: nat,X1: set] :
( ( ( esti @ ( sK0 @ X1 ) @ X1 )
= $true )
| ( $true
= ( esti @ X2 @ X1 ) )
| ( $false
= ( esti @ n_1 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f106]) ).
thf(f108,plain,
! [X2: nat,X1: nat] :
( ( $false
= ( ( suc @ X1 )
= ( suc @ X2 ) ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f101]) ).
thf(f109,plain,
! [X2: nat,X1: nat] :
( ( ( suc @ X1 )
!= ( suc @ X2 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f108]) ).
thf(f138,plain,
! [X0: nat > $o,X1: nat] :
( ( ( X0 @ ( sK0 @ ( setof @ X0 ) ) )
= $true )
| ( $false = $true )
| ( $false
= ( esti @ n_1 @ ( setof @ X0 ) ) )
| ( ( esti @ X1 @ ( setof @ X0 ) )
= $true ) ),
inference(constrained_superposition,[],[f77,f107]) ).
thf(f140,plain,
! [X0: nat > $o,X1: nat] :
( ( $false
= ( esti @ n_1 @ ( setof @ X0 ) ) )
| ( ( esti @ X1 @ ( setof @ X0 ) )
= $true )
| ( ( X0 @ ( sK0 @ ( setof @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f138]) ).
thf(f232,plain,
! [X0: nat] :
( ( ( pl
@ ( suc
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) )
@ y )
= ( pl
@ ( suc
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) )
@ z ) )
| ( $false = $true )
| ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true )
| ( $false
= ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) ) ),
inference(constrained_superposition,[],[f105,f94]) ).
thf(f236,plain,
! [X0: nat] :
( ( $false
= ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) )
| ( ( pl
@ ( suc
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) )
@ y )
= ( pl
@ ( suc
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) )
@ z ) )
| ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f232]) ).
thf(f241,plain,
! [X0: nat] :
( ( $false
= ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) )
| ( ( suc
@ ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z ) )
= ( pl
@ ( suc
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) )
@ y ) )
| ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true ) ),
inference(forward_demodulation,[],[f236,f81]) ).
thf(f245,plain,
! [X0: nat] :
( ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true )
| ( $false
= ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) )
| ( ( suc
@ ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ y ) )
= ( suc
@ ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z ) ) ) ),
inference(forward_demodulation,[],[f241,f81]) ).
thf(f248,definition,
( spl1_7
<=> ! [X0: nat] :
( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
thf(f249,plain,
( ! [X0: nat] :
( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f248]) ).
thf(f251,definition,
( spl1_8
<=> ( ( suc
@ ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ y ) )
= ( suc
@ ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
thf(f253,plain,
( ( ( suc
@ ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ y ) )
= ( suc
@ ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z ) ) )
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f251]) ).
thf(f255,definition,
( spl1_9
<=> ( $false
= ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
thf(f257,plain,
( ( $false
= ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) )
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f255]) ).
thf(f259,plain,
( spl1_8
| spl1_7
| spl1_9 ),
inference(avatar_split_clause,[],[f245,f255,f248,f251]) ).
thf(f304,plain,
( ( ( pl @ x @ y )
!= ( pl @ x @ y ) )
| ( $false
= ( esti @ x
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) ) ),
inference(constrained_superposition,[],[f96,f23]) ).
thf(f307,plain,
( $false
= ( esti @ x
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f304]) ).
thf(f310,plain,
( ( $false = $true )
| ~ spl1_7 ),
inference(forward_demodulation,[],[f307,f249]) ).
thf(f311,plain,
( $false
| ~ spl1_7 ),
inference(trivial_inequality_removal,[],[f310]) ).
thf(f312,plain,
~ spl1_7,
inference(avatar_contradiction_clause,[],[f311]) ).
thf(f318,definition,
( spl1_10
<=> ( ( suc @ z )
= ( suc @ y ) ) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
thf(f319,plain,
( ( ( suc @ z )
= ( suc @ y ) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f318]) ).
thf(f320,plain,
( ( ( suc @ z )
!= ( suc @ y ) )
| spl1_10 ),
inference(avatar_component_clause,[],[f318]) ).
thf(f348,plain,
! [X0: nat] :
( ( ( ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) )
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) )
= $true )
| ( ( pl @ n_1 @ y )
= ( pl @ n_1 @ z ) )
| ( $false = $true )
| ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f94,f140]) ).
thf(f360,plain,
! [X0: nat] :
( ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true )
| ( ( pl @ n_1 @ y )
= ( pl @ n_1 @ z ) )
| ( ( ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) )
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f348]) ).
thf(f361,plain,
! [X0: nat] :
( ( ( pl @ n_1 @ y )
= ( pl @ n_1 @ z ) )
| ( ( ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ y )
!= ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z ) )
= $true )
| ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f360]) ).
thf(f366,plain,
! [X0: nat] :
( ( ( ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ y )
!= ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z ) )
= $true )
| ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true )
| ( ( pl @ n_1 @ y )
= ( suc @ z ) ) ),
inference(forward_demodulation,[],[f361,f67]) ).
thf(f368,plain,
! [X0: nat] :
( ( ( suc @ z )
= ( suc @ y ) )
| ( ( ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ y )
!= ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z ) )
= $true )
| ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true ) ),
inference(forward_demodulation,[],[f366,f67]) ).
thf(f370,plain,
! [X0: nat] :
( ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true )
| ( ( suc @ z )
= ( suc @ y ) )
| ( ( ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ y )
= ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z ) )
= $false ) ),
inference(not_proxy_clausification,[],[f368]) ).
thf(f372,plain,
! [X0: nat] :
( ( ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z )
!= ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ y ) )
| ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
= $true )
| ( ( suc @ z )
= ( suc @ y ) ) ),
inference(equality_proxy_clausification,[],[f370]) ).
thf(f374,definition,
( spl1_11
<=> ( ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z )
= ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ y ) ) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
thf(f376,plain,
( ( ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z )
!= ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ y ) )
| spl1_11 ),
inference(avatar_component_clause,[],[f374]) ).
thf(f378,plain,
( spl1_7
| ~ spl1_11
| spl1_10 ),
inference(avatar_split_clause,[],[f372,f318,f374,f248]) ).
thf(f380,plain,
( ! [X0: nat] :
( ( ( suc @ X0 )
!= ( suc @ y ) )
| ( z = X0 ) )
| ~ spl1_10 ),
inference(constrained_superposition,[],[f109,f319]) ).
thf(f383,plain,
( ( y = z )
| ~ spl1_10 ),
inference(equality_resolution,[],[f380]) ).
thf(f384,plain,
( $false
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f383,f30]) ).
thf(f385,plain,
~ spl1_10,
inference(avatar_contradiction_clause,[],[f384]) ).
thf(f474,plain,
( ( ( ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) )
@ n_1 )
= $false )
| ( $false = $true )
| ~ spl1_9 ),
inference(constrained_superposition,[],[f76,f257]) ).
thf(f477,plain,
( ( ( ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) )
@ n_1 )
= $false )
| ~ spl1_9 ),
inference(trivial_inequality_removal,[],[f474]) ).
thf(f478,plain,
( ( $false
= ( ( pl @ n_1 @ y )
!= ( pl @ n_1 @ z ) ) )
| ~ spl1_9 ),
inference(beta-eta_normalization,[],[f477]) ).
thf(f481,plain,
( ( $false
= ( ( suc @ y )
!= ( pl @ n_1 @ z ) ) )
| ~ spl1_9 ),
inference(forward_demodulation,[],[f478,f67]) ).
thf(f483,plain,
( ( $false
= ( ( suc @ y )
!= ( suc @ z ) ) )
| ~ spl1_9 ),
inference(forward_demodulation,[],[f481,f67]) ).
thf(f485,plain,
( ( ( ( suc @ y )
= ( suc @ z ) )
= $true )
| ~ spl1_9 ),
inference(not_proxy_clausification,[],[f483]) ).
thf(f487,plain,
( ( ( suc @ z )
= ( suc @ y ) )
| ~ spl1_9 ),
inference(equality_proxy_clausification,[],[f485]) ).
thf(f490,plain,
( $false
| ~ spl1_9
| spl1_10 ),
inference(forward_subsumption_resolution,[],[f487,f320]) ).
thf(f491,plain,
( ~ spl1_9
| spl1_10 ),
inference(avatar_contradiction_clause,[],[f490]) ).
thf(f614,plain,
( ! [X0: nat] :
( ( ( suc @ X0 )
!= ( suc
@ ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ y ) ) )
| ( ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z )
= X0 ) )
| ~ spl1_8 ),
inference(constrained_superposition,[],[f109,f253]) ).
thf(f1070,plain,
( ( ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ z )
= ( pl
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ Y0 @ y )
!= ( pl @ Y0 @ z ) ) ) )
@ y ) )
| ~ spl1_8 ),
inference(equality_resolution,[],[f614]) ).
thf(f1071,plain,
( $false
| ~ spl1_8
| spl1_11 ),
inference(forward_subsumption_resolution,[],[f1070,f376]) ).
thf(f1072,plain,
( ~ spl1_8
| spl1_11 ),
inference(avatar_contradiction_clause,[],[f1071]) ).
cnf(s8,plain,
( spl1_7
| spl1_8
| spl1_9 ),
inference(sat_conversion,[],[f259]) ).
cnf(s9,plain,
~ spl1_7,
inference(sat_conversion,[],[f312]) ).
cnf(s12,plain,
( spl1_7
| spl1_10
| ~ spl1_11 ),
inference(sat_conversion,[],[f378]) ).
cnf(s13,plain,
~ spl1_10,
inference(sat_conversion,[],[f385]) ).
cnf(s16,plain,
( ~ spl1_9
| spl1_10 ),
inference(sat_conversion,[],[f491]) ).
cnf(s29,plain,
( ~ spl1_8
| spl1_11 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s33,plain,
~ spl1_9,
inference(rat,[],[s16,s13]) ).
cnf(s38,plain,
( spl1_7
| ~ spl1_11 ),
inference(rat,[],[s12,s13]) ).
cnf(s40,plain,
~ spl1_11,
inference(rat,[],[s38,s9]) ).
cnf(s41,plain,
~ spl1_8,
inference(rat,[],[s29,s40]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s8,s33,s41,s9]) ).
thf(f1073,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM646^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.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 12:33:52 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.22/0.35 % (1207946)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.35 % (1207951)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=627891757:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.35 % (1207952)lrs+10_16_si=on:nwc=1.5:random_seed=2270380998:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.35 % (1207953)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=27899532:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.35 % (1207955)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3750760534:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.35 % (1207953)Refutation not found, incomplete strategy
% 0.22/0.35 % (1207953)------------------------------
% 0.22/0.35 % (1207953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (1207953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (1207953)CaDiCaL version: 2.1.3
% 0.22/0.35 % (1207953)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.35 % (1207953)Time elapsed: 0.002 s
% 0.22/0.35 % (1207953)Peak memory usage: 12 MB
% 0.22/0.35 % (1207953)Instructions burned: 3 (million)
% 0.22/0.35 % (1207953)------------------------------
% 0.22/0.35 % (1207953)------------------------------
% 0.22/0.35 % (1207954)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=3747989842: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)
% 0.22/0.35 % (1207951)Refutation not found, incomplete strategy
% 0.22/0.35 % (1207951)------------------------------
% 0.22/0.35 % (1207951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (1207951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (1207951)CaDiCaL version: 2.1.3
% 0.22/0.35 % (1207951)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.35 % (1207951)Time elapsed: 0.007 s
% 0.22/0.35 % (1207951)Peak memory usage: 12 MB
% 0.22/0.35 % (1207951)Instructions burned: 10 (million)
% 0.22/0.35 % (1207951)------------------------------
% 0.22/0.35 % (1207951)------------------------------
% 0.22/0.35 % (1207956)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4100894935:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.35 % (1207952)Instruction limit reached!
% 0.22/0.35 % (1207952)------------------------------
% 0.22/0.35 % (1207952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (1207952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (1207952)CaDiCaL version: 2.1.3
% 0.22/0.35 % (1207952)Termination reason: Instruction limit
% 0.22/0.35 % (1207952)Termination phase: Saturation
% 0.22/0.35 % (1207952)Time elapsed: 0.010 s
% 0.22/0.35 % (1207952)Peak memory usage: 12 MB
% 0.22/0.35 % (1207952)Instructions burned: 18 (million)
% 0.22/0.35 % (1207957)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.35 % (1207957)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
% 0.22/0.35 % (1207955)Instruction limit reached!
% 0.22/0.35 % (1207955)------------------------------
% 0.22/0.35 % (1207955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (1207955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (1207955)CaDiCaL version: 2.1.3
% 0.22/0.35 % (1207955)Termination reason: Instruction limit
% 0.22/0.35 % (1207955)Termination phase: Saturation
% 0.22/0.35 % (1207955)Time elapsed: 0.014 s
% 0.22/0.35 % (1207955)Peak memory usage: 12 MB
% 0.22/0.35 % (1207955)Instructions burned: 24 (million)
% 0.22/0.35 % (1207957)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=818231425:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.35 % (1207954)Refutation not found, incomplete strategy
% 0.22/0.35 % (1207954)------------------------------
% 0.22/0.35 % (1207954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (1207954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (1207954)CaDiCaL version: 2.1.3
% 0.71/0.38 % (1207954)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.38 % (1207954)Time elapsed: 0.016 s
% 0.71/0.38 % (1207954)Peak memory usage: 12 MB
% 0.71/0.38 % (1207954)Instructions burned: 13 (million)
% 0.71/0.38 % (1207954)------------------------------
% 0.71/0.38 % (1207954)------------------------------
% 0.71/0.38 % (1207963)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1087280702:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.38 % (1207966)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.38 % (1207963)Instruction limit reached!
% 0.71/0.38 % (1207963)------------------------------
% 0.71/0.38 % (1207963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (1207963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (1207963)CaDiCaL version: 2.1.3
% 0.71/0.38 % (1207963)Termination reason: Instruction limit
% 0.71/0.38 % (1207963)Termination phase: Saturation
% 0.71/0.38 % (1207963)Time elapsed: 0.003 s
% 0.71/0.38 % (1207963)Peak memory usage: 12 MB
% 0.71/0.38 % (1207963)Instructions burned: 4 (million)
% 0.71/0.38 % (1207964)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3469658231:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.71/0.38 % (1207957)Refutation not found, incomplete strategy
% 0.71/0.38 % (1207957)------------------------------
% 0.71/0.38 % (1207957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (1207957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (1207957)CaDiCaL version: 2.1.3
% 0.71/0.38 % (1207957)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.38 % (1207957)Time elapsed: 0.010 s
% 0.71/0.38 % (1207957)Peak memory usage: 12 MB
% 0.71/0.38 % (1207957)Instructions burned: 10 (million)
% 0.71/0.38 % (1207966)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1455702212:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.71/0.38 % (1207957)------------------------------
% 0.71/0.38 % (1207957)------------------------------
% 0.71/0.38 % (1207969)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
% 0.71/0.38 % (1207969)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.38 % (1207964)Instruction limit reached!
% 0.71/0.38 % (1207964)------------------------------
% 0.71/0.38 % (1207964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (1207964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (1207964)CaDiCaL version: 2.1.3
% 0.71/0.38 % (1207964)Termination reason: Instruction limit
% 0.71/0.38 % (1207964)Termination phase: Saturation
% 0.71/0.38 % (1207964)Time elapsed: 0.004 s
% 0.71/0.38 % (1207964)Peak memory usage: 12 MB
% 0.71/0.38 % (1207964)Instructions burned: 6 (million)
% 0.71/0.38 % (1207969)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2511589653:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.71/0.38 % (1207967)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4235437231:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.71/0.38 % (1207966)Instruction limit reached!
% 0.71/0.38 % (1207966)------------------------------
% 0.71/0.38 % (1207966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.38 % (1207966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.38 % (1207966)CaDiCaL version: 2.1.3
% 0.71/0.38 % (1207966)Termination reason: Instruction limit
% 0.71/0.38 % (1207966)Termination phase: Saturation
% 0.71/0.38 % (1207966)Time elapsed: 0.005 s
% 0.71/0.38 % (1207966)Peak memory usage: 12 MB
% 0.71/0.38 % (1207966)Instructions burned: 9 (million)
% 0.71/0.38 % (1207969)Instruction limit reached!
% 0.71/0.38 % (1207969)------------------------------
% 0.71/0.40 % (1207969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (1207969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (1207969)CaDiCaL version: 2.1.3
% 0.71/0.40 % (1207969)Termination reason: Instruction limit
% 0.71/0.40 % (1207969)Termination phase: Saturation
% 0.71/0.40 % (1207969)Time elapsed: 0.008 s
% 0.71/0.40 % (1207969)Peak memory usage: 12 MB
% 0.71/0.40 % (1207969)Instructions burned: 30 (million)
% 0.71/0.40 % (1207967)Instruction limit reached!
% 0.71/0.40 % (1207967)------------------------------
% 0.71/0.40 % (1207967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (1207967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (1207967)CaDiCaL version: 2.1.3
% 0.71/0.40 % (1207967)Termination reason: Instruction limit
% 0.71/0.40 % (1207967)Termination phase: Saturation
% 0.71/0.40 % (1207967)Time elapsed: 0.009 s
% 0.71/0.40 % (1207967)Peak memory usage: 12 MB
% 0.71/0.40 % (1207967)Instructions burned: 12 (million)
% 0.71/0.40 % (1207972)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=57056541:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.71/0.40 % (1207975)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.71/0.40 % (1207956)Instruction limit reached!
% 0.71/0.40 % (1207956)------------------------------
% 0.71/0.40 % (1207956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (1207956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (1207956)CaDiCaL version: 2.1.3
% 0.71/0.40 % (1207956)Termination reason: Instruction limit
% 0.71/0.40 % (1207956)Termination phase: Saturation
% 0.71/0.40 % (1207956)Time elapsed: 0.040 s
% 0.71/0.40 % (1207956)Peak memory usage: 13 MB
% 0.71/0.40 % (1207956)Instructions burned: 75 (million)
% 0.71/0.40 % (1207975)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=936281599:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.40 % (1207979)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4162776581:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.71/0.40 % (1207975)Instruction limit reached!
% 0.71/0.40 % (1207975)------------------------------
% 0.71/0.40 % (1207975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (1207975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (1207975)CaDiCaL version: 2.1.3
% 0.71/0.40 % (1207975)Termination reason: Instruction limit
% 0.71/0.40 % (1207975)Termination phase: Saturation
% 0.71/0.40 % (1207975)Time elapsed: 0.002 s
% 0.71/0.40 % (1207975)Peak memory usage: 11 MB
% 0.71/0.40 % (1207975)Instructions burned: 3 (million)
% 0.71/0.40 % (1207979)Refutation not found, incomplete strategy
% 0.71/0.40 % (1207979)------------------------------
% 0.71/0.40 % (1207979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (1207979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.40 % (1207979)CaDiCaL version: 2.1.3
% 0.71/0.40 % (1207979)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.40 % (1207979)Time elapsed: 0.0000 s
% 0.71/0.40 % (1207979)Peak memory usage: 12 MB
% 0.71/0.40 % (1207974)lrs+10_1_si=on:cs=on:random_seed=3178198308:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.71/0.40 % (1207979)------------------------------
% 0.71/0.40 % (1207979)------------------------------
% 0.71/0.40 % (1207987)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2690796337:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.71/0.40 % (1207978)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2836329733:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.71/0.40 % (1207974)Instruction limit reached!
% 0.71/0.40 % (1207974)------------------------------
% 0.71/0.40 % (1207974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.40 % (1207974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (1207974)CaDiCaL version: 2.1.3
% 0.71/0.42 % (1207974)Termination reason: Instruction limit
% 0.71/0.42 % (1207974)Termination phase: Saturation
% 0.71/0.42 % (1207974)Time elapsed: 0.014 s
% 0.71/0.42 % (1207974)Peak memory usage: 12 MB
% 0.71/0.42 % (1207974)Instructions burned: 9 (million)
% 0.71/0.42 % (1207982)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=215612732:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.71/0.42 % (1207987)Instruction limit reached!
% 0.71/0.42 % (1207987)------------------------------
% 0.71/0.42 % (1207987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (1207987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (1207987)CaDiCaL version: 2.1.3
% 0.71/0.42 % (1207987)Termination reason: Instruction limit
% 0.71/0.42 % (1207987)Termination phase: Saturation
% 0.71/0.42 % (1207987)Time elapsed: 0.007 s
% 0.71/0.42 % (1207987)Peak memory usage: 12 MB
% 0.71/0.42 % (1207987)Instructions burned: 23 (million)
% 0.71/0.42 % (1207986)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=946316138:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.71/0.42 % (1207980)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3132790259:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.71/0.42 % (1207980)Refutation not found, incomplete strategy
% 0.71/0.42 % (1207980)------------------------------
% 0.71/0.42 % (1207980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (1207980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (1207980)CaDiCaL version: 2.1.3
% 0.71/0.42 % (1207980)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.42 % (1207980)Time elapsed: 0.003 s
% 0.71/0.42 % (1207980)Peak memory usage: 12 MB
% 0.71/0.42 % (1207980)Instructions burned: 4 (million)
% 0.71/0.42 % (1207982)Instruction limit reached!
% 0.71/0.42 % (1207982)------------------------------
% 0.71/0.42 % (1207982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (1207982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (1207982)CaDiCaL version: 2.1.3
% 0.71/0.42 % (1207982)Termination reason: Instruction limit
% 0.71/0.42 % (1207982)Termination phase: Saturation
% 0.71/0.42 % (1207982)Time elapsed: 0.009 s
% 0.71/0.42 % (1207982)Peak memory usage: 12 MB
% 0.71/0.42 % (1207982)Instructions burned: 14 (million)
% 0.71/0.42 % (1207980)------------------------------
% 0.71/0.42 % (1207980)------------------------------
% 0.71/0.42 % (1207993)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3257289201:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.71/0.42 % (1207993)Refutation not found, incomplete strategy
% 0.71/0.42 % (1207993)------------------------------
% 0.71/0.42 % (1207993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (1207993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (1207993)CaDiCaL version: 2.1.3
% 0.71/0.42 % (1207993)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.42 % (1207993)Time elapsed: 0.003 s
% 0.71/0.42 % (1207993)Peak memory usage: 12 MB
% 0.71/0.42 % (1207993)Instructions burned: 8 (million)
% 0.71/0.42 % (1207993)------------------------------
% 0.71/0.42 % (1207993)------------------------------
% 0.71/0.42 % (1207990)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2749603:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.71/0.42 % (1207972)Instruction limit reached!
% 0.71/0.42 % (1207972)------------------------------
% 0.71/0.42 % (1207972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (1207972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.42 % (1207972)CaDiCaL version: 2.1.3
% 0.71/0.42 % (1207972)Termination reason: Instruction limit
% 0.71/0.42 % (1207972)Termination phase: Saturation
% 0.71/0.42 % (1207972)Time elapsed: 0.045 s
% 0.71/0.42 % (1207990)Instruction limit reached!
% 0.71/0.42 % (1207990)------------------------------
% 0.71/0.42 % (1207990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.42 % (1207972)Peak memory usage: 12 MB
% 0.71/0.42 % (1207972)Instructions burned: 87 (million)
% 0.71/0.44 % (1207990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1207990)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1207990)Termination reason: Instruction limit
% 0.71/0.44 % (1207990)Termination phase: Saturation
% 0.71/0.44 % (1207990)Time elapsed: 0.002 s
% 0.71/0.44 % (1207990)Peak memory usage: 12 MB
% 0.71/0.44 % (1207990)Instructions burned: 3 (million)
% 0.71/0.44 % (1207998)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.71/0.44 % (1207998)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.71/0.44 % (1207986)Refutation not found, incomplete strategy
% 0.71/0.44 % (1207986)------------------------------
% 0.71/0.44 % (1207986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1207986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1207986)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1207986)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.44 % (1207986)Time elapsed: 0.023 s
% 0.71/0.44 % (1207986)Peak memory usage: 12 MB
% 0.71/0.44 % (1207986)Instructions burned: 41 (million)
% 0.71/0.44 % (1207986)------------------------------
% 0.71/0.44 % (1207986)------------------------------
% 0.71/0.44 % (1207998)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3199505262:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.71/0.44 % (1207978)Instruction limit reached!
% 0.71/0.44 % (1207978)------------------------------
% 0.71/0.44 % (1207978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1207978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1207978)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1207978)Termination reason: Instruction limit
% 0.71/0.44 % (1207978)Termination phase: Saturation
% 0.71/0.44 % (1207978)Time elapsed: 0.031 s
% 0.71/0.44 % (1207978)Peak memory usage: 12 MB
% 0.71/0.44 % (1207995)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3072642402:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.71/0.44 % (1207978)Instructions burned: 38 (million)
% 0.71/0.44 % (1207996)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3102765896:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.71/0.44 % (1207998)Instruction limit reached!
% 0.71/0.44 % (1207998)------------------------------
% 0.71/0.44 % (1207998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1207998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1207998)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1207998)Termination reason: Instruction limit
% 0.71/0.44 % (1207998)Termination phase: Saturation
% 0.71/0.44 % (1207998)Time elapsed: 0.005 s
% 0.71/0.44 % (1207998)Peak memory usage: 12 MB
% 0.71/0.44 % (1207998)Instructions burned: 16 (million)
% 0.71/0.44 % (1207996)Refutation not found, incomplete strategy
% 0.71/0.44 % (1207996)------------------------------
% 0.71/0.44 % (1207996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.44 % (1207996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.44 % (1207996)CaDiCaL version: 2.1.3
% 0.71/0.44 % (1207996)Termination reason: Refutation not found, incomplete strategy
% 0.71/0.44 % (1207996)Time elapsed: 0.006 s
% 0.71/0.44 % (1207996)Peak memory usage: 12 MB
% 0.71/0.44 % (1207996)Instructions burned: 10 (million)
% 0.71/0.44 % (1207996)------------------------------
% 0.71/0.44 % (1207996)------------------------------
% 0.71/0.44 % (1208000)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.71/0.44 % (1208001)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1749630496:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.71/0.44 % (1208000)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1922482625:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.51/0.48 % (1207995)Instruction limit reached!
% 1.51/0.48 % (1207995)------------------------------
% 1.51/0.48 % (1207995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.48 % (1207995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.48 % (1207995)CaDiCaL version: 2.1.3
% 1.51/0.48 % (1207995)Termination reason: Instruction limit
% 1.51/0.48 % (1207995)Termination phase: Saturation
% 1.51/0.48 % (1207995)Time elapsed: 0.014 s
% 1.51/0.48 % (1207995)Peak memory usage: 11 MB
% 1.51/0.48 % (1207995)Instructions burned: 24 (million)
% 1.51/0.48 % (1208007)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1048984782:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.51/0.48 % (1208003)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1762533839:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.51/0.48 % (1208000)Instruction limit reached!
% 1.51/0.48 % (1208000)------------------------------
% 1.51/0.48 % (1208000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.48 % (1208000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.48 % (1208000)CaDiCaL version: 2.1.3
% 1.51/0.48 % (1208000)Termination reason: Instruction limit
% 1.51/0.48 % (1208000)Termination phase: Saturation
% 1.51/0.48 % (1208000)Time elapsed: 0.006 s
% 1.51/0.48 % (1208000)Peak memory usage: 12 MB
% 1.51/0.48 % (1208000)Instructions burned: 9 (million)
% 1.51/0.48 % (1208007)Instruction limit reached!
% 1.51/0.48 % (1208007)------------------------------
% 1.51/0.48 % (1208007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.48 % (1208007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.48 % (1208007)CaDiCaL version: 2.1.3
% 1.51/0.48 % (1208007)Termination reason: Instruction limit
% 1.51/0.48 % (1208007)Termination phase: Saturation
% 1.51/0.48 % (1208007)Time elapsed: 0.006 s
% 1.51/0.48 % (1208007)Peak memory usage: 12 MB
% 1.51/0.48 % (1208007)Instructions burned: 21 (million)
% 1.51/0.48 % (1208006)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1894788064:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.51/0.48 % (1208003)Instruction limit reached!
% 1.51/0.48 % (1208003)------------------------------
% 1.51/0.48 % (1208003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.48 % (1208003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.48 % (1208003)CaDiCaL version: 2.1.3
% 1.51/0.48 % (1208003)Termination reason: Instruction limit
% 1.51/0.48 % (1208003)Termination phase: Saturation
% 1.51/0.48 % (1208003)Time elapsed: 0.005 s
% 1.51/0.48 % (1208003)Peak memory usage: 12 MB
% 1.51/0.48 % (1208003)Instructions burned: 7 (million)
% 1.51/0.48 % (1208008)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2929850135:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.51/0.48 % (1208001)Instruction limit reached!
% 1.51/0.48 % (1208001)------------------------------
% 1.51/0.48 % (1208001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.48 % (1208001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.48 % (1208001)CaDiCaL version: 2.1.3
% 1.51/0.48 % (1208001)Termination reason: Instruction limit
% 1.51/0.48 % (1208001)Termination phase: Saturation
% 1.51/0.48 % (1208001)Time elapsed: 0.018 s
% 1.51/0.48 % (1208001)Peak memory usage: 12 MB
% 1.51/0.48 % (1208001)Instructions burned: 32 (million)
% 1.51/0.48 % (1208015)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2099528602:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.51/0.48 % (1208006)Instruction limit reached!
% 1.51/0.48 % (1208006)------------------------------
% 1.51/0.48 % (1208006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.48 % (1208006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.48 % (1208006)CaDiCaL version: 2.1.3
% 1.51/0.48 % (1208006)Termination reason: Instruction limit
% 1.51/0.48 % (1208006)Termination phase: Saturation
% 1.51/0.48 % (1208006)Time elapsed: 0.009 s
% 1.51/0.48 % (1208006)Peak memory usage: 12 MB
% 1.51/0.48 % (1208006)Instructions burned: 23 (million)
% 1.51/0.48 % (1208012)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3009165423:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.51/0.53 % (1208014)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=502646965:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.51/0.53 % (1208008)Refutation not found, incomplete strategy
% 1.51/0.53 % (1208008)------------------------------
% 1.51/0.53 % (1208008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208008)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208008)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.53 % (1208008)Time elapsed: 0.015 s
% 1.51/0.53 % (1208008)Peak memory usage: 12 MB
% 1.51/0.53 % (1208008)Instructions burned: 25 (million)
% 1.51/0.53 % (1208008)------------------------------
% 1.51/0.53 % (1208008)------------------------------
% 1.51/0.53 % (1208015)Instruction limit reached!
% 1.51/0.53 % (1208015)------------------------------
% 1.51/0.53 % (1208015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208015)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208015)Termination reason: Instruction limit
% 1.51/0.53 % (1208015)Termination phase: Saturation
% 1.51/0.53 % (1208015)Time elapsed: 0.013 s
% 1.51/0.53 % (1208015)Peak memory usage: 12 MB
% 1.51/0.53 % (1208015)Instructions burned: 46 (million)
% 1.51/0.53 % (1208017)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.51/0.53 % (1208017)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2574692223:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.51/0.53 % (1208020)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1928462391:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.51/0.53 % (1208021)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=152276334:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.51/0.53 % (1208021)Refutation not found, incomplete strategy
% 1.51/0.53 % (1208021)------------------------------
% 1.51/0.53 % (1208021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208021)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208021)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.53 % (1208021)Time elapsed: 0.002 s
% 1.51/0.53 % (1208021)Peak memory usage: 12 MB
% 1.51/0.53 % (1208021)Instructions burned: 1 (million)
% 1.51/0.53 % (1208021)------------------------------
% 1.51/0.53 % (1208021)------------------------------
% 1.51/0.53 % (1208014)Refutation not found, incomplete strategy
% 1.51/0.53 % (1208014)------------------------------
% 1.51/0.53 % (1208014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208017)Instruction limit reached!
% 1.51/0.53 % (1208017)------------------------------
% 1.51/0.53 % (1208017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208017)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208017)Termination reason: Instruction limit
% 1.51/0.53 % (1208017)Termination phase: Saturation
% 1.51/0.53 % (1208017)Time elapsed: 0.005 s
% 1.51/0.53 % (1208017)Peak memory usage: 12 MB
% 1.51/0.53 % (1208017)Instructions burned: 8 (million)
% 1.51/0.53 % (1208014)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208014)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.53 % (1208014)Time elapsed: 0.017 s
% 1.51/0.53 % (1208014)Peak memory usage: 12 MB
% 1.51/0.53 % (1208014)Instructions burned: 19 (million)
% 1.51/0.53 % (1208014)------------------------------
% 1.51/0.53 % (1208014)------------------------------
% 1.51/0.53 % (1208024)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.51/0.53 % (1208025)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3074430658:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.51/0.53 % (1208024)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3558987720:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.51/0.53 % (1208025)Instruction limit reached!
% 1.51/0.53 % (1208025)------------------------------
% 1.51/0.53 % (1208025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208025)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208025)Termination reason: Instruction limit
% 1.51/0.53 % (1208025)Termination phase: Saturation
% 1.51/0.53 % (1208025)Time elapsed: 0.007 s
% 1.51/0.53 % (1208025)Peak memory usage: 12 MB
% 1.51/0.53 % (1208025)Instructions burned: 24 (million)
% 1.51/0.53 % (1208024)Instruction limit reached!
% 1.51/0.53 % (1208024)------------------------------
% 1.51/0.53 % (1208024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208024)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208024)Termination reason: Instruction limit
% 1.51/0.53 % (1208024)Termination phase: Saturation
% 1.51/0.53 % (1208024)Time elapsed: 0.004 s
% 1.51/0.53 % (1208024)Peak memory usage: 12 MB
% 1.51/0.53 % (1208024)Instructions burned: 6 (million)
% 1.51/0.53 % (1208029)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3157286897:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.51/0.53 % (1208029)Refutation not found, incomplete strategy
% 1.51/0.53 % (1208029)------------------------------
% 1.51/0.53 % (1208029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208029)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208029)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.53 % (1208029)Time elapsed: 0.002 s
% 1.51/0.53 % (1208029)Peak memory usage: 12 MB
% 1.51/0.53 % (1208029)Instructions burned: 2 (million)
% 1.51/0.53 % (1208029)------------------------------
% 1.51/0.53 % (1208029)------------------------------
% 1.51/0.53 % (1208034)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3987256491:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.51/0.53 % (1208031)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=3681056529:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.51/0.53 % (1208035)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2797757933:i=480:rtra=on_2998 on theBenchmark for (2998ds/480Mi)
% 1.51/0.53 % (1208035)Refutation not found, incomplete strategy
% 1.51/0.53 % (1208035)------------------------------
% 1.51/0.53 % (1208035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208035)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208035)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.53 % (1208035)Time elapsed: 0.001 s
% 1.51/0.53 % (1208035)Peak memory usage: 12 MB
% 1.51/0.53 % (1208035)Instructions burned: 1 (million)
% 1.51/0.53 % (1208035)------------------------------
% 1.51/0.53 % (1208035)------------------------------
% 1.51/0.53 % (1208034)Instruction limit reached!
% 1.51/0.53 % (1208034)------------------------------
% 1.51/0.53 % (1208034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208034)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208034)Termination reason: Instruction limit
% 1.51/0.53 % (1208034)Termination phase: Saturation
% 1.51/0.53 % (1208034)Time elapsed: 0.014 s
% 1.51/0.53 % (1208034)Peak memory usage: 12 MB
% 1.51/0.53 % (1208034)Instructions burned: 46 (million)
% 1.51/0.53 % (1208030)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=3079349483:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.51/0.53 % (1208038)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1266867619:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 1.51/0.53 % (1208042)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=903227101:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 1.51/0.53 % (1208041)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.51/0.53 % (1208042)Instruction limit reached!
% 1.51/0.53 % (1208042)------------------------------
% 1.51/0.53 % (1208042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208042)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208042)Termination reason: Instruction limit
% 1.51/0.53 % (1208042)Termination phase: Saturation
% 1.51/0.53 % (1208042)Time elapsed: 0.005 s
% 1.51/0.53 % (1208042)Peak memory usage: 12 MB
% 1.51/0.53 % (1208042)Instructions burned: 16 (million)
% 1.51/0.53 % (1208041)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2851737288:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 1.51/0.53 % (1208038)Instruction limit reached!
% 1.51/0.53 % (1208038)------------------------------
% 1.51/0.53 % (1208038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208038)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208038)Termination reason: Instruction limit
% 1.51/0.53 % (1208038)Termination phase: Saturation
% 1.51/0.53 % (1208038)Time elapsed: 0.012 s
% 1.51/0.53 % (1208038)Peak memory usage: 12 MB
% 1.51/0.53 % (1208038)Instructions burned: 22 (million)
% 1.51/0.53 % (1208012)Instruction limit reached!
% 1.51/0.53 % (1208012)------------------------------
% 1.51/0.53 % (1208012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208012)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208012)Termination reason: Instruction limit
% 1.51/0.53 % (1208012)Termination phase: Saturation
% 1.51/0.53 % (1208012)Time elapsed: 0.080 s
% 1.51/0.53 % (1208012)Peak memory usage: 12 MB
% 1.51/0.53 % (1208012)Instructions burned: 144 (million)
% 1.51/0.53 % (1208047)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=249773653:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 1.51/0.53 % (1208048)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2260693270:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 1.51/0.53 % (1208020)Instruction limit reached!
% 1.51/0.53 % (1208020)------------------------------
% 1.51/0.53 % (1208020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208020)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208020)Termination reason: Instruction limit
% 1.51/0.53 % (1208020)Termination phase: Saturation
% 1.51/0.53 % (1208020)Time elapsed: 0.078 s
% 1.51/0.53 % (1208020)Peak memory usage: 12 MB
% 1.51/0.53 % (1208020)Instructions burned: 182 (million)
% 1.51/0.53 % (1208048)Refutation not found, incomplete strategy
% 1.51/0.53 % (1208048)------------------------------
% 1.51/0.53 % (1208048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208048)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208048)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.53 % (1208048)Time elapsed: 0.001 s
% 1.51/0.53 % (1208048)Peak memory usage: 12 MB
% 1.51/0.53 % (1208048)Instructions burned: 1 (million)
% 1.51/0.53 % (1208048)------------------------------
% 1.51/0.53 % (1208048)------------------------------
% 1.51/0.53 % (1208047) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1207946-1208047"...
% 1.51/0.53 % (1208047)...printing done.
% 1.51/0.53 % (1208047)Refutation found. Thanks to Tanya!
% 1.51/0.53 % SZS status Theorem for theBenchmark
% 1.51/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.53 % (1208047)------------------------------
% 1.51/0.53 % (1208047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.53 % (1208047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.53 % (1208047)CaDiCaL version: 2.1.3
% 1.51/0.53 % (1208047)Termination reason: Refutation
% 1.51/0.53 % (1208047)Time elapsed: 0.021 s
% 1.51/0.53 % (1208047)Peak memory usage: 13 MB
% 1.51/0.53 % (1208047)Instructions burned: 74 (million)
% 1.51/0.53 % (1207946)Success in time 0.274 s
% 1.51/0.53 % Vampire exiting
%------------------------------------------------------------------------------