%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU448+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 : Tue Sep 29 12:49:10 PM UTC 2026
% Result : Theorem 5.57s 1.82s
% Output : Refutation 7.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 21
% Syntax : Number of formulae : 143 ( 29 unt; 9 def)
% Number of atoms : 358 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 377 ( 162 ~; 161 |; 18 &)
% ( 16 <=>; 19 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 168 ( 0 sgn 153 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3))
<=> r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3))
<=> r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_relset_1) ).
fof(f10,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> m1_subset_1(k3_subset_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f12,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f16,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f26,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> k3_subset_1(X0,k3_subset_1(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f34,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(f35,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f36,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f38,axiom,
! [X0,X1] :
( r1_xboole_0(X0,X1)
=> r1_xboole_0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f43,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_xboole_0(X1,k3_subset_1(X0,X2))
<=> r1_tarski(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_subset_1) ).
fof(f44,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3))
<=> r1_xboole_0(X3,k9_relat_1(X4,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_relset_2) ).
fof(f51,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3))
<~> r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f56,plain,
! [X0,X1] :
( m1_subset_1(k3_subset_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f58,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f59,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f63,plain,
! [X0,X1] :
( k3_subset_1(X0,k3_subset_1(X0,X1)) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f68,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f69,plain,
! [X0,X1] :
( r1_xboole_0(X1,X0)
| ~ r1_xboole_0(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f74,plain,
! [X0,X1] :
( ! [X2] :
( ( r1_xboole_0(X1,k3_subset_1(X0,X2))
<=> r1_tarski(X1,X2) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3))
<=> r1_xboole_0(X3,k9_relat_1(X4,X2)) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f82,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2)
| ~ r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3)) )
& ( r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2)
| r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3)) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f51]) ).
fof(f83,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2)
| ~ r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3)) )
& ( r1_tarski(k10_relset_1(X1,X0,k6_relset_1(X0,X1,X4),X3),X2)
| r1_tarski(k10_relset_1(X0,X1,X4,k3_subset_1(X0,X2)),k3_subset_1(X1,X3)) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
( ( ~ r1_tarski(k10_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK4),sK3),sK2)
| ~ r1_tarski(k10_relset_1(sK0,sK1,sK4,k3_subset_1(sK0,sK2)),k3_subset_1(sK1,sK3)) )
& ( r1_tarski(k10_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK4),sK3),sK2)
| r1_tarski(k10_relset_1(sK0,sK1,sK4,k3_subset_1(sK0,sK2)),k3_subset_1(sK1,sK3)) )
& m2_relset_1(sK4,sK0,sK1)
& m1_subset_1(sK3,k1_zfmisc_1(sK1))
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f83]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r1_xboole_0(X1,k3_subset_1(X0,X2))
| ~ r1_tarski(X1,X2) )
& ( r1_tarski(X1,X2)
| ~ r1_xboole_0(X1,k3_subset_1(X0,X2)) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f74]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3))
| ~ r1_xboole_0(X3,k9_relat_1(X4,X2)) )
& ( r1_xboole_0(X3,k9_relat_1(X4,X2))
| ~ r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f75]) ).
fof(f98,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f84]) ).
fof(f99,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(cnf_transformation,[],[f84]) ).
fof(f100,plain,
m2_relset_1(sK4,sK0,sK1),
inference(cnf_transformation,[],[f84]) ).
fof(f101,plain,
( r1_tarski(k10_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK4),sK3),sK2)
| r1_tarski(k10_relset_1(sK0,sK1,sK4,k3_subset_1(sK0,sK2)),k3_subset_1(sK1,sK3)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f102,plain,
( ~ r1_tarski(k10_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK4),sK3),sK2)
| ~ r1_tarski(k10_relset_1(sK0,sK1,sK4,k3_subset_1(sK0,sK2)),k3_subset_1(sK1,sK3)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f106,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f107,plain,
! [X0,X1] :
( m1_subset_1(k3_subset_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f59]) ).
fof(f124,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k3_subset_1(X0,k3_subset_1(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f63]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f67]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f142,plain,
! [X0,X1] :
( ~ r1_xboole_0(X0,X1)
| r1_xboole_0(X1,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ r1_xboole_0(X1,k3_subset_1(X0,X2))
| r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f150,plain,
! [X2,X0,X1] :
( r1_xboole_0(X1,k3_subset_1(X0,X2))
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f151,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3))
| r1_xboole_0(X3,k9_relat_1(X4,X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f152,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1_xboole_0(X3,k9_relat_1(X4,X2))
| r1_xboole_0(X2,k9_relat_1(k4_relat_1(X4),X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f159,definition,
( spl13_1
<=> r1_tarski(k10_relset_1(sK0,sK1,sK4,k3_subset_1(sK0,sK2)),k3_subset_1(sK1,sK3)) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f160,plain,
( r1_tarski(k10_relset_1(sK0,sK1,sK4,k3_subset_1(sK0,sK2)),k3_subset_1(sK1,sK3))
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,definition,
( spl13_2
<=> r1_tarski(k10_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK4),sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f163,plain,
( r1_tarski(k10_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK4),sK3),sK2)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f101,f162,f159]) ).
fof(f165,plain,
( ~ r1_tarski(k10_relset_1(sK0,sK1,sK4,k3_subset_1(sK0,sK2)),k3_subset_1(sK1,sK3))
| spl13_1 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f166,plain,
( ~ r1_tarski(k10_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK4),sK3),sK2)
| spl13_2 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f167,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f102,f162,f159]) ).
fof(f173,plain,
sK3 = k3_subset_1(sK1,k3_subset_1(sK1,sK3)),
inference(resolution,[],[f124,f99]) ).
fof(f179,plain,
! [X0] :
( ~ r1_xboole_0(X0,sK3)
| r1_tarski(X0,k3_subset_1(sK1,sK3))
| ~ m1_subset_1(k3_subset_1(sK1,sK3),k1_zfmisc_1(sK1))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1)) ),
inference(superposition,[],[f149,f173]) ).
fof(f180,plain,
! [X0] :
( r1_xboole_0(X0,sK3)
| ~ r1_tarski(X0,k3_subset_1(sK1,sK3))
| ~ m1_subset_1(k3_subset_1(sK1,sK3),k1_zfmisc_1(sK1))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1)) ),
inference(superposition,[],[f150,f173]) ).
fof(f182,definition,
( spl13_3
<=> m1_subset_1(k3_subset_1(sK1,sK3),k1_zfmisc_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f183,plain,
( ~ m1_subset_1(k3_subset_1(sK1,sK3),k1_zfmisc_1(sK1))
| spl13_3 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f185,definition,
( spl13_4
<=> ! [X0] :
( r1_xboole_0(X0,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| ~ r1_tarski(X0,k3_subset_1(sK1,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f186,plain,
( ! [X0] :
( ~ r1_tarski(X0,k3_subset_1(sK1,sK3))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| r1_xboole_0(X0,sK3) )
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f187,plain,
( ~ spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f180,f185,f182]) ).
fof(f189,definition,
( spl13_5
<=> ! [X0] :
( ~ r1_xboole_0(X0,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| r1_tarski(X0,k3_subset_1(sK1,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
fof(f190,plain,
( ! [X0] :
( ~ r1_xboole_0(X0,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| r1_tarski(X0,k3_subset_1(sK1,sK3)) )
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( ~ spl13_3
| spl13_5 ),
inference(avatar_split_clause,[],[f179,f189,f182]) ).
fof(f197,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| spl13_3 ),
inference(resolution,[],[f183,f107]) ).
fof(f199,plain,
( $false
| spl13_3 ),
inference(forward_subsumption_resolution,[],[f197,f99]) ).
fof(f200,plain,
spl13_3,
inference(avatar_contradiction_clause,[],[f199]) ).
fof(f201,plain,
m1_relset_1(sK4,sK0,sK1),
inference(resolution,[],[f139,f100]) ).
fof(f202,plain,
k6_relset_1(sK0,sK1,sK4) = k4_relat_1(sK4),
inference(resolution,[],[f201,f138]) ).
fof(f203,plain,
( r1_tarski(k10_relset_1(sK1,sK0,k4_relat_1(sK4),sK3),sK2)
| ~ spl13_2 ),
inference(superposition,[],[f163,f202]) ).
fof(f209,definition,
( spl13_7
<=> m1_subset_1(k3_subset_1(sK0,sK2),k1_zfmisc_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f210,plain,
( ~ m1_subset_1(k3_subset_1(sK0,sK2),k1_zfmisc_1(sK0))
| spl13_7 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f224,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| spl13_7 ),
inference(resolution,[],[f210,f107]) ).
fof(f226,plain,
( $false
| spl13_7 ),
inference(forward_subsumption_resolution,[],[f224,f98]) ).
fof(f227,plain,
spl13_7,
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f233,plain,
! [X0] : m1_subset_1(k10_relset_1(sK0,sK1,sK4,X0),k1_zfmisc_1(sK1)),
inference(resolution,[],[f106,f201]) ).
fof(f236,plain,
m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(resolution,[],[f110,f100]) ).
fof(f239,plain,
! [X0] : k10_relset_1(sK0,sK1,sK4,X0) = k9_relat_1(sK4,X0),
inference(resolution,[],[f137,f201]) ).
fof(f240,plain,
( ~ r1_tarski(k9_relat_1(sK4,k3_subset_1(sK0,sK2)),k3_subset_1(sK1,sK3))
| spl13_1 ),
inference(superposition,[],[f165,f239]) ).
fof(f242,plain,
! [X0] : m1_subset_1(k9_relat_1(sK4,X0),k1_zfmisc_1(sK1)),
inference(superposition,[],[f233,f239]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,X1)
| r1_xboole_0(k3_subset_1(X0,X1),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(resolution,[],[f142,f150]) ).
fof(f247,plain,
m2_relset_1(k6_relset_1(sK0,sK1,sK4),sK1,sK0),
inference(resolution,[],[f109,f201]) ).
fof(f248,plain,
m2_relset_1(k4_relat_1(sK4),sK1,sK0),
inference(forward_demodulation,[],[f247,f202]) ).
fof(f250,plain,
m1_relset_1(k4_relat_1(sK4),sK1,sK0),
inference(resolution,[],[f248,f139]) ).
fof(f255,plain,
! [X0] : k9_relat_1(k4_relat_1(sK4),X0) = k10_relset_1(sK1,sK0,k4_relat_1(sK4),X0),
inference(resolution,[],[f250,f137]) ).
fof(f256,plain,
! [X0] : m1_subset_1(k10_relset_1(sK1,sK0,k4_relat_1(sK4),X0),k1_zfmisc_1(sK0)),
inference(resolution,[],[f250,f106]) ).
fof(f260,plain,
( r1_tarski(k9_relat_1(k4_relat_1(sK4),sK3),sK2)
| ~ spl13_2 ),
inference(superposition,[],[f203,f255]) ).
fof(f263,plain,
! [X0] : m1_subset_1(k9_relat_1(k4_relat_1(sK4),X0),k1_zfmisc_1(sK0)),
inference(superposition,[],[f256,f255]) ).
fof(f316,plain,
( ! [X0] :
( ~ m1_subset_1(k9_relat_1(k4_relat_1(sK4),sK3),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| r1_xboole_0(k3_subset_1(X0,sK2),k9_relat_1(k4_relat_1(sK4),sK3)) )
| ~ spl13_2 ),
inference(resolution,[],[f243,f260]) ).
fof(f406,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| r1_xboole_0(k3_subset_1(sK0,sK2),k9_relat_1(k4_relat_1(sK4),sK3))
| ~ spl13_2 ),
inference(resolution,[],[f263,f316]) ).
fof(f411,plain,
( r1_xboole_0(k3_subset_1(sK0,sK2),k9_relat_1(k4_relat_1(sK4),sK3))
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f406,f98]) ).
fof(f412,plain,
( ! [X0,X1] :
( r1_xboole_0(sK3,k9_relat_1(sK4,k3_subset_1(sK0,sK2)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| ~ m1_subset_1(k3_subset_1(sK0,sK2),k1_zfmisc_1(X0)) )
| ~ spl13_2 ),
inference(resolution,[],[f411,f151]) ).
fof(f418,definition,
( spl13_15
<=> ! [X0,X1] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(k3_subset_1(sK0,sK2),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl13_15])],[avatar_definition]) ).
fof(f419,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| ~ m1_subset_1(k3_subset_1(sK0,sK2),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f421,definition,
( spl13_16
<=> r1_xboole_0(sK3,k9_relat_1(sK4,k3_subset_1(sK0,sK2))) ),
introduced(definition,[new_symbols(definition,[spl13_16])],[avatar_definition]) ).
fof(f422,plain,
( r1_xboole_0(sK3,k9_relat_1(sK4,k3_subset_1(sK0,sK2)))
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f423,plain,
( spl13_15
| spl13_16
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f412,f162,f421,f418]) ).
fof(f428,plain,
( ! [X0,X1] :
( r1_xboole_0(k3_subset_1(sK0,sK2),k9_relat_1(k4_relat_1(sK4),sK3))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(X1))
| ~ m1_subset_1(k3_subset_1(sK0,sK2),k1_zfmisc_1(X0)) )
| ~ spl13_16 ),
inference(resolution,[],[f422,f152]) ).
fof(f431,plain,
( r1_xboole_0(k9_relat_1(sK4,k3_subset_1(sK0,sK2)),sK3)
| ~ spl13_16 ),
inference(resolution,[],[f422,f142]) ).
fof(f443,plain,
( ~ m1_subset_1(k9_relat_1(sK4,k3_subset_1(sK0,sK2)),k1_zfmisc_1(sK1))
| r1_tarski(k9_relat_1(sK4,k3_subset_1(sK0,sK2)),k3_subset_1(sK1,sK3))
| ~ spl13_5
| ~ spl13_16 ),
inference(resolution,[],[f431,f190]) ).
fof(f448,plain,
( r1_tarski(k9_relat_1(sK4,k3_subset_1(sK0,sK2)),k3_subset_1(sK1,sK3))
| ~ spl13_5
| ~ spl13_16 ),
inference(forward_subsumption_resolution,[],[f443,f242]) ).
fof(f449,plain,
( $false
| spl13_1
| ~ spl13_5
| ~ spl13_16 ),
inference(forward_subsumption_resolution,[],[f448,f240]) ).
fof(f450,plain,
( spl13_1
| ~ spl13_5
| ~ spl13_16 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f451,plain,
( r1_tarski(k9_relat_1(sK4,k3_subset_1(sK0,sK2)),k3_subset_1(sK1,sK3))
| ~ spl13_1 ),
inference(forward_demodulation,[],[f160,f239]) ).
fof(f452,plain,
( ~ r1_tarski(k10_relset_1(sK1,sK0,k4_relat_1(sK4),sK3),sK2)
| spl13_2 ),
inference(forward_demodulation,[],[f166,f202]) ).
fof(f454,definition,
( spl13_20
<=> r1_xboole_0(k3_subset_1(sK0,sK2),k9_relat_1(k4_relat_1(sK4),sK3)) ),
introduced(definition,[new_symbols(definition,[spl13_20])],[avatar_definition]) ).
fof(f455,plain,
( r1_xboole_0(k3_subset_1(sK0,sK2),k9_relat_1(k4_relat_1(sK4),sK3))
| ~ spl13_20 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f457,plain,
( spl13_15
| spl13_20
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f428,f421,f454,f418]) ).
fof(f458,plain,
( ~ r1_tarski(k9_relat_1(k4_relat_1(sK4),sK3),sK2)
| spl13_2 ),
inference(forward_demodulation,[],[f452,f255]) ).
fof(f461,plain,
( r1_xboole_0(k9_relat_1(k4_relat_1(sK4),sK3),k3_subset_1(sK0,sK2))
| ~ spl13_20 ),
inference(resolution,[],[f455,f142]) ).
fof(f467,plain,
( $false
| spl13_2
| ~ spl13_20 ),
inference(unit_resulting_resolution,[],[f149,f98,f458,f263,f461]) ).
fof(f471,plain,
( spl13_2
| ~ spl13_20 ),
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f476,plain,
( ~ m1_subset_1(k9_relat_1(sK4,k3_subset_1(sK0,sK2)),k1_zfmisc_1(sK1))
| r1_xboole_0(k9_relat_1(sK4,k3_subset_1(sK0,sK2)),sK3)
| ~ spl13_1
| ~ spl13_4 ),
inference(resolution,[],[f451,f186]) ).
fof(f480,plain,
( r1_xboole_0(k9_relat_1(sK4,k3_subset_1(sK0,sK2)),sK3)
| ~ spl13_1
| ~ spl13_4 ),
inference(forward_subsumption_resolution,[],[f476,f242]) ).
fof(f483,plain,
( r1_xboole_0(sK3,k9_relat_1(sK4,k3_subset_1(sK0,sK2)))
| ~ spl13_1
| ~ spl13_4 ),
inference(resolution,[],[f480,f142]) ).
fof(f485,plain,
( spl13_16
| ~ spl13_1
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f483,f185,f159,f421]) ).
fof(f501,plain,
( ! [X0] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(X0,sK1)))
| ~ m1_subset_1(k3_subset_1(sK0,sK2),k1_zfmisc_1(X0)) )
| ~ spl13_15 ),
inference(resolution,[],[f419,f99]) ).
fof(f503,plain,
( ~ m1_subset_1(k3_subset_1(sK0,sK2),k1_zfmisc_1(sK0))
| ~ spl13_15 ),
inference(resolution,[],[f501,f236]) ).
fof(f505,plain,
( ~ spl13_7
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f503,f418,f209]) ).
cnf(s1,plain,
( spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f164]) ).
cnf(s2,plain,
( ~ spl13_1
| ~ spl13_2 ),
inference(sat_conversion,[],[f167]) ).
cnf(s3,plain,
( ~ spl13_3
| spl13_4 ),
inference(sat_conversion,[],[f187]) ).
cnf(s4,plain,
( ~ spl13_3
| spl13_5 ),
inference(sat_conversion,[],[f191]) ).
cnf(s7,plain,
spl13_3,
inference(sat_conversion,[],[f200]) ).
cnf(s12,plain,
spl13_7,
inference(sat_conversion,[],[f227]) ).
cnf(s18,plain,
( ~ spl13_2
| spl13_15
| spl13_16 ),
inference(sat_conversion,[],[f423]) ).
cnf(s23,plain,
( spl13_1
| ~ spl13_5
| ~ spl13_16 ),
inference(sat_conversion,[],[f450]) ).
cnf(s25,plain,
( spl13_15
| ~ spl13_16
| spl13_20 ),
inference(sat_conversion,[],[f457]) ).
cnf(s26,plain,
( spl13_2
| ~ spl13_20 ),
inference(sat_conversion,[],[f471]) ).
cnf(s28,plain,
( ~ spl13_1
| ~ spl13_4
| spl13_16 ),
inference(sat_conversion,[],[f485]) ).
cnf(s30,plain,
( ~ spl13_7
| ~ spl13_15 ),
inference(sat_conversion,[],[f505]) ).
cnf(s34,plain,
~ spl13_15,
inference(rat,[],[s30,s12]) ).
cnf(s39,plain,
spl13_5,
inference(rat,[],[s4,s7]) ).
cnf(s40,plain,
spl13_4,
inference(rat,[],[s3,s7]) ).
cnf(s41,plain,
spl13_1,
inference(rat,[],[s18,s1,s23,s34,s39]) ).
cnf(s42,plain,
spl13_16,
inference(rat,[],[s28,s40,s41]) ).
cnf(s43,plain,
~ spl13_2,
inference(rat,[],[s2,s41]) ).
cnf(s44,plain,
spl13_20,
inference(rat,[],[s25,s34,s42]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s26,s44,s43]) ).
fof(f506,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU448+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 05:39:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.57/1.82 % (2315891)Detected formulas, will run a generic FOF schedule.
% 5.57/1.82 % (2315898)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2768440254:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.57/1.82 % (2315902)dis-21_1_sil=8000:lcm=predicate:random_seed=519923430:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.57/1.82 % (2315899)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2959010269:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.57/1.82 % (2315897)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=193023556:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.57/1.82 % (2315896)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1433952801:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.57/1.82 % (2315900)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=878022541:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.57/1.82 % (2315901)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=208367514:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.57/1.82 % (2315899)Refutation not found, incomplete strategy
% 5.57/1.82 % (2315899)------------------------------
% 5.57/1.82 % (2315899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.82 % (2315899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.82 % (2315899)CaDiCaL version: 2.1.3
% 5.57/1.82 % (2315899)Termination reason: Refutation not found, incomplete strategy
% 5.57/1.82 % (2315899)Time elapsed: 0.002 s
% 5.57/1.82 % (2315899)Peak memory usage: 88 MB
% 5.57/1.82 % (2315899)Instructions burned: 2 (million)
% 5.57/1.82 % (2315900)Instruction limit reached!
% 5.57/1.82 % (2315900)------------------------------
% 5.57/1.82 % (2315900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.82 % (2315900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.82 % (2315900)CaDiCaL version: 2.1.3
% 5.57/1.82 % (2315900)Termination reason: Instruction limit
% 5.57/1.82 % (2315900)Termination phase: Saturation
% 5.57/1.82 % (2315900)Time elapsed: 0.066 s
% 5.57/1.82 % (2315900)Peak memory usage: 88 MB
% 5.57/1.82 % (2315900)Instructions burned: 119 (million)
% 5.57/1.82 % (2315902)Instruction limit reached!
% 5.57/1.82 % (2315902)------------------------------
% 5.57/1.82 % (2315902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.82 % (2315902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.82 % (2315902)CaDiCaL version: 2.1.3
% 5.57/1.82 % (2315902)Termination reason: Instruction limit
% 5.57/1.82 % (2315902)Termination phase: Saturation
% 5.57/1.82 % (2315902)Time elapsed: 0.071 s
% 5.57/1.82 % (2315902)Peak memory usage: 89 MB
% 5.57/1.82 % (2315902)Instructions burned: 130 (million)
% 5.57/1.82 % (2315901)Instruction limit reached!
% 5.57/1.82 % (2315901)------------------------------
% 5.57/1.82 % (2315901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.82 % (2315901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.82 % (2315901)CaDiCaL version: 2.1.3
% 5.57/1.82 % (2315901)Termination reason: Instruction limit
% 5.57/1.82 % (2315901)Termination phase: Saturation
% 5.57/1.82 % (2315901)Time elapsed: 0.106 s
% 5.57/1.82 % (2315901)Peak memory usage: 89 MB
% 5.57/1.82 % (2315901)Instructions burned: 140 (million)
% 5.57/1.82 % (2315910)lrs+10_1_sil=8000:sp=occurrence:random_seed=3280127137:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.57/1.82 % (2315911)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2625167012:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.57/1.82 % (2315912)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4262835827:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.57/1.82 % (2315899)------------------------------
% 5.57/1.82 % (2315899)------------------------------
% 5.57/1.82 % (2315911)Instruction limit reached!
% 5.57/1.82 % (2315911)------------------------------
% 5.57/1.82 % (2315911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.82 % (2315911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.82 % (2315911)CaDiCaL version: 2.1.3
% 5.57/1.82 % (2315911)Termination reason: Instruction limit
% 5.57/1.82 % (2315911)Termination phase: Saturation
% 5.57/1.82 % (2315911)Time elapsed: 0.096 s
% 5.57/1.82 % (2315911)Peak memory usage: 90 MB
% 5.57/1.82 % (2315911)Instructions burned: 157 (million)
% 5.57/1.82 % (2315916)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1323510731:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.57/1.82 % (2315910)Instruction limit reached!
% 5.57/1.82 % (2315910)------------------------------
% 5.57/1.82 % (2315910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.82 % (2315910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.82 % (2315910)CaDiCaL version: 2.1.3
% 5.57/1.82 % (2315910)Termination reason: Instruction limit
% 5.57/1.82 % (2315910)Termination phase: Saturation
% 5.57/1.82 % (2315910)Time elapsed: 0.190 s
% 5.57/1.82 % (2315910)Peak memory usage: 92 MB
% 5.57/1.82 % (2315910)Instructions burned: 285 (million)
% 5.57/1.82 % (2315917)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=995576882:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.57/1.82 % (2315917)Refutation not found, incomplete strategy
% 5.57/1.82 % (2315917)------------------------------
% 5.57/1.82 % (2315917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.82 % (2315917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.82 % (2315917)CaDiCaL version: 2.1.3
% 5.57/1.82 % (2315917)Termination reason: Refutation not found, incomplete strategy
% 5.57/1.82 % (2315917)Time elapsed: 0.002 s
% 5.57/1.82 % (2315917)Peak memory usage: 88 MB
% 5.57/1.82 % (2315917)Instructions burned: 4 (million)
% 5.57/1.82 % (2315912)Instruction limit reached!
% 5.57/1.82 % (2315912)------------------------------
% 5.57/1.82 % (2315912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.82 % (2315912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.82 % (2315912)CaDiCaL version: 2.1.3
% 5.57/1.82 % (2315912)Termination reason: Instruction limit
% 5.57/1.82 % (2315912)Termination phase: Saturation
% 5.57/1.82 % (2315912)Time elapsed: 0.225 s
% 5.57/1.82 % (2315912)Peak memory usage: 91 MB
% 5.57/1.82 % (2315912)Instructions burned: 326 (million)
% 5.57/1.82 % (2315919)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1426289454:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.57/1.82 % (2315916)Instruction limit reached!
% 5.57/1.82 % (2315916)------------------------------
% 5.57/1.82 % (2315916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.82 % (2315916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.82 % (2315916)CaDiCaL version: 2.1.3
% 5.57/1.82 % (2315916)Termination reason: Instruction limit
% 5.57/1.82 % (2315916)Termination phase: Saturation
% 5.57/1.82 % (2315916)Time elapsed: 0.156 s
% 5.57/1.82 % (2315916)Peak memory usage: 92 MB
% 5.57/1.82 % (2315916)Instructions burned: 248 (million)
% 5.57/1.82 % (2315917)------------------------------
% 5.57/1.82 % (2315917)------------------------------
% 5.57/1.82 % (2315921)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3055889811:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.57/1.82 % (2315897)First to succeed.
% 5.57/1.82 % (2315897)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2315891"
% 5.57/1.82 % (2315923)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4129674021:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.57/1.82 % (2315898)Also succeeded, but the first one will report.
% 5.57/1.82 % (2315896)Also succeeded, but the first one will report.
% 5.57/1.82 % (2315921)Instruction limit reached!
% 5.57/1.82 % (2315921)------------------------------
% 5.57/1.82 % (2315921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.82 % (2315921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.82 % (2315921)CaDiCaL version: 2.1.3
% 5.57/1.82 % (2315921)Termination reason: Instruction limit
% 5.57/1.82 % (2315921)Termination phase: Saturation
% 5.57/1.82 % (2315921)Time elapsed: 0.079 s
% 5.57/1.82 % (2315921)Peak memory usage: 89 MB
% 5.57/1.82 % (2315921)Instructions burned: 113 (million)
% 5.57/1.82 % (2315924)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2545783267:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.57/1.82 % (2315923)Instruction limit reached!
% 5.57/1.82 % (2315923)------------------------------
% 5.57/1.82 % (2315923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.82 % (2315923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.82 % (2315923)CaDiCaL version: 2.1.3
% 5.57/1.82 % (2315923)Termination reason: Instruction limit
% 5.57/1.82 % (2315923)Termination phase: Saturation
% 5.57/1.82 % (2315923)Time elapsed: 0.068 s
% 5.57/1.82 % (2315923)Peak memory usage: 88 MB
% 5.57/1.82 % (2315923)Instructions burned: 129 (million)
% 5.57/1.82 % (2315924)Instruction limit reached!
% 5.57/1.82 % (2315924)------------------------------
% 5.57/1.82 % (2315924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.57/1.82 % (2315924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.82 % (2315924)CaDiCaL version: 2.1.3
% 5.57/1.82 % (2315924)Termination reason: Instruction limit
% 5.57/1.82 % (2315924)Termination phase: Saturation
% 5.57/1.82 % (2315924)Time elapsed: 0.064 s
% 5.57/1.82 % (2315924)Peak memory usage: 89 MB
% 5.57/1.82 % (2315924)Instructions burned: 114 (million)
% 5.57/1.82 % (2315897)Refutation found. Thanks to Tanya!
% 5.57/1.82 % SZS status Theorem for theBenchmark
% 5.57/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 7.35/2.00 % (2315897)------------------------------
% 7.35/2.00 % (2315897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.35/2.00 % (2315897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/2.00 % (2315897)CaDiCaL version: 2.1.3
% 7.35/2.00 % (2315897)Termination reason: Refutation
% 7.35/2.00 % (2315897)Time elapsed: 0.647 s
% 7.35/2.00 % (2315897)Peak memory usage: 129 MB
% 7.35/2.00 % (2315897)Instructions burned: 999 (million)
% 7.35/2.00 % (2315897)------------------------------
% 7.35/2.00 % (2315897)------------------------------
% 7.35/2.00 % (2315891)Success in time 0.964 s
% 7.35/2.00 % Vampire exiting
%------------------------------------------------------------------------------