%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU438+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:49:03 PM UTC 2026
% Result : Theorem 11.30s 3.81s
% Output : Refutation 20.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 156 ( 42 unt; 13 def)
% Number of atoms : 397 ( 33 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 443 ( 202 ~; 198 |; 16 &)
% ( 8 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-4 aty)
% Number of variables : 148 ( 0 sgn 143 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f77,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X2,X1) )
=> r1_tarski(k2_xboole_0(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f79,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(X0,k2_xboole_0(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_xboole_1) ).
fof(f377,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_tarski(X1,X2)
<=> r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_subset_1) ).
fof(f387,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> r1_tarski(k3_subset_1(X0,k4_subset_1(X0,X1,X2)),k3_subset_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_subset_1) ).
fof(f430,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_subset_1) ).
fof(f433,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f4465,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f4512,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r1_tarski(X3,X4)
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_relset_2) ).
fof(f4513,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> r1_tarski(k4_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)),k8_relset_2(X0,X1,X2,k4_subset_1(k2_zfmisc_1(X0,X1),X3,X4))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_relset_2) ).
fof(f4514,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> r1_tarski(k4_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)),k8_relset_2(X0,X1,X2,k4_subset_1(k2_zfmisc_1(X0,X1),X3,X4))) ) ) ),
inference(negated_conjecture,[status(cth)],[f4513]) ).
fof(f4726,plain,
! [X0,X1,X2] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f4727,plain,
! [X0,X1,X2] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(flattening,[],[f4726]) ).
fof(f4729,plain,
! [X0,X1,X2] :
( r1_tarski(X0,k2_xboole_0(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f79]) ).
fof(f4924,plain,
! [X0,X1] :
( ! [X2] :
( ( r1_tarski(X1,X2)
<=> r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f377]) ).
fof(f4936,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k3_subset_1(X0,k4_subset_1(X0,X1,X2)),k3_subset_1(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f387]) ).
fof(f5000,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f430]) ).
fof(f5001,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f5000]) ).
fof(f5006,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f433]) ).
fof(f5007,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f5006]) ).
fof(f9727,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f4465]) ).
fof(f9728,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f9727]) ).
fof(f9782,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4512]) ).
fof(f9783,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f9782]) ).
fof(f9784,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_tarski(k4_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)),k8_relset_2(X0,X1,X2,k4_subset_1(k2_zfmisc_1(X0,X1),X3,X4)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4514]) ).
fof(f10103,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f10104,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f10103]) ).
fof(f10198,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r1_tarski(X1,X2)
| ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) )
& ( r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| ~ r1_tarski(X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f4924]) ).
fof(f12221,plain,
( ~ r1_tarski(k4_subset_1(sK1510,k8_relset_2(sK1509,sK1510,sK1511,sK1512),k8_relset_2(sK1509,sK1510,sK1511,sK1513)),k8_relset_2(sK1509,sK1510,sK1511,k4_subset_1(k2_zfmisc_1(sK1509,sK1510),sK1512,sK1513)))
& m1_subset_1(sK1513,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510)))
& m1_subset_1(sK1512,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510)))
& m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1509,sK1510,sK1511,sK1512,sK1513]),skolemize(X0,sK1509),skolemize(X1,sK1510),skolemize(X2,sK1511),skolemize(X3,sK1512),skolemize(X4,sK1513)],[f9784]) ).
fof(f12302,plain,
! [X0,X1] :
( r1_tarski(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f10104]) ).
fof(f12358,plain,
! [X2,X0,X1] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(cnf_transformation,[],[f4727]) ).
fof(f12360,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k2_xboole_0(X2,X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f4729]) ).
fof(f12753,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f10198]) ).
fof(f12764,plain,
! [X2,X0,X1] :
( r1_tarski(k3_subset_1(X0,k4_subset_1(X0,X1,X2)),k3_subset_1(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4936]) ).
fof(f12833,plain,
! [X2,X0,X1] :
( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f5001]) ).
fof(f12836,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k2_xboole_0(X1,X2) = k4_subset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f5007]) ).
fof(f20356,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f9728]) ).
fof(f20418,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f9783]) ).
fof(f20419,plain,
m1_subset_1(sK1511,k1_zfmisc_1(sK1509)),
inference(cnf_transformation,[],[f12221]) ).
fof(f20420,plain,
m1_subset_1(sK1512,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510))),
inference(cnf_transformation,[],[f12221]) ).
fof(f20421,plain,
m1_subset_1(sK1513,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510))),
inference(cnf_transformation,[],[f12221]) ).
fof(f20422,plain,
~ r1_tarski(k4_subset_1(sK1510,k8_relset_2(sK1509,sK1510,sK1511,sK1512),k8_relset_2(sK1509,sK1510,sK1511,sK1513)),k8_relset_2(sK1509,sK1510,sK1511,k4_subset_1(k2_zfmisc_1(sK1509,sK1510),sK1512,sK1513))),
inference(cnf_transformation,[],[f12221]) ).
fof(f22411,plain,
! [X1] : r1_tarski(X1,X1),
inference(equality_resolution,[],[f12302]) ).
fof(f23307,definition,
sF1514 = k8_relset_2(sK1509,sK1510,sK1511,sK1512),
introduced(definition,[new_symbols(definition,[sF1514])],[function_definition]) ).
fof(f23308,plain,
k8_relset_2(sK1509,sK1510,sK1511,sK1512) = sF1514,
inference(reorient_equations,[],[f23307]) ).
fof(f23309,definition,
sF1515 = k8_relset_2(sK1509,sK1510,sK1511,sK1513),
introduced(definition,[new_symbols(definition,[sF1515])],[function_definition]) ).
fof(f23310,plain,
k8_relset_2(sK1509,sK1510,sK1511,sK1513) = sF1515,
inference(reorient_equations,[],[f23309]) ).
fof(f23311,definition,
sF1516 = k4_subset_1(sK1510,sF1514,sF1515),
introduced(definition,[new_symbols(definition,[sF1516])],[function_definition]) ).
fof(f23312,plain,
k4_subset_1(sK1510,sF1514,sF1515) = sF1516,
inference(reorient_equations,[],[f23311]) ).
fof(f23313,definition,
sF1517 = k2_zfmisc_1(sK1509,sK1510),
introduced(definition,[new_symbols(definition,[sF1517])],[function_definition]) ).
fof(f23314,plain,
k2_zfmisc_1(sK1509,sK1510) = sF1517,
inference(reorient_equations,[],[f23313]) ).
fof(f23315,definition,
sF1518 = k4_subset_1(sF1517,sK1512,sK1513),
introduced(definition,[new_symbols(definition,[sF1518])],[function_definition]) ).
fof(f23316,plain,
k4_subset_1(sF1517,sK1512,sK1513) = sF1518,
inference(reorient_equations,[],[f23315]) ).
fof(f23317,definition,
sF1519 = k8_relset_2(sK1509,sK1510,sK1511,sF1518),
introduced(definition,[new_symbols(definition,[sF1519])],[function_definition]) ).
fof(f23318,plain,
k8_relset_2(sK1509,sK1510,sK1511,sF1518) = sF1519,
inference(reorient_equations,[],[f23317]) ).
fof(f23319,plain,
~ r1_tarski(sF1516,sF1519),
inference(definition_folding,[],[f20422,f23318,f23316,f23314,f23312,f23310,f23308]) ).
fof(f23320,definition,
sF1520 = k1_zfmisc_1(sF1517),
introduced(definition,[new_symbols(definition,[sF1520])],[function_definition]) ).
fof(f23321,plain,
k1_zfmisc_1(sF1517) = sF1520,
inference(reorient_equations,[],[f23320]) ).
fof(f23322,plain,
m1_subset_1(sK1513,sF1520),
inference(definition_folding,[],[f20421,f23321,f23314]) ).
fof(f23323,plain,
m1_subset_1(sK1512,sF1520),
inference(definition_folding,[],[f20420,f23321,f23314]) ).
fof(f23324,definition,
sF1521 = k1_zfmisc_1(sK1509),
introduced(definition,[new_symbols(definition,[sF1521])],[function_definition]) ).
fof(f23325,plain,
k1_zfmisc_1(sK1509) = sF1521,
inference(reorient_equations,[],[f23324]) ).
fof(f23326,plain,
m1_subset_1(sK1511,sF1521),
inference(definition_folding,[],[f20419,f23325]) ).
fof(f26973,definition,
( spl1522_549
<=> m1_subset_1(sF1518,sF1520) ),
introduced(definition,[new_symbols(definition,[spl1522_549])],[avatar_definition]) ).
fof(f26974,plain,
( m1_subset_1(sF1518,sF1520)
| ~ spl1522_549 ),
inference(avatar_component_clause,[],[f26973]) ).
fof(f26975,plain,
( ~ m1_subset_1(sF1518,sF1520)
| spl1522_549 ),
inference(avatar_component_clause,[],[f26973]) ).
fof(f26977,plain,
( m1_subset_1(sF1514,k1_zfmisc_1(sK1510))
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509))
| ~ m1_subset_1(sK1512,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510))) ),
inference(superposition,[],[f20356,f23308]) ).
fof(f26978,plain,
( ~ m1_subset_1(sK1511,sF1521)
| m1_subset_1(sF1514,k1_zfmisc_1(sK1510))
| ~ m1_subset_1(sK1512,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510))) ),
inference(forward_demodulation,[],[f26977,f23325]) ).
fof(f26979,plain,
( m1_subset_1(sF1514,k1_zfmisc_1(sK1510))
| ~ m1_subset_1(sK1512,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510))) ),
inference(forward_subsumption_resolution,[],[f26978,f23326]) ).
fof(f26980,plain,
( ~ m1_subset_1(sK1512,k1_zfmisc_1(sF1517))
| m1_subset_1(sF1514,k1_zfmisc_1(sK1510)) ),
inference(forward_demodulation,[],[f26979,f23314]) ).
fof(f26981,plain,
( ~ m1_subset_1(sK1512,sF1520)
| m1_subset_1(sF1514,k1_zfmisc_1(sK1510)) ),
inference(forward_demodulation,[],[f26980,f23321]) ).
fof(f26982,plain,
m1_subset_1(sF1514,k1_zfmisc_1(sK1510)),
inference(forward_subsumption_resolution,[],[f26981,f23323]) ).
fof(f26983,plain,
( m1_subset_1(sF1515,k1_zfmisc_1(sK1510))
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509))
| ~ m1_subset_1(sK1513,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510))) ),
inference(superposition,[],[f20356,f23310]) ).
fof(f26984,plain,
( ~ m1_subset_1(sK1511,sF1521)
| m1_subset_1(sF1515,k1_zfmisc_1(sK1510))
| ~ m1_subset_1(sK1513,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510))) ),
inference(forward_demodulation,[],[f26983,f23325]) ).
fof(f26985,plain,
( m1_subset_1(sF1515,k1_zfmisc_1(sK1510))
| ~ m1_subset_1(sK1513,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510))) ),
inference(forward_subsumption_resolution,[],[f26984,f23326]) ).
fof(f26986,plain,
( ~ m1_subset_1(sK1513,k1_zfmisc_1(sF1517))
| m1_subset_1(sF1515,k1_zfmisc_1(sK1510)) ),
inference(forward_demodulation,[],[f26985,f23314]) ).
fof(f26987,plain,
( ~ m1_subset_1(sK1513,sF1520)
| m1_subset_1(sF1515,k1_zfmisc_1(sK1510)) ),
inference(forward_demodulation,[],[f26986,f23321]) ).
fof(f26988,plain,
m1_subset_1(sF1515,k1_zfmisc_1(sK1510)),
inference(forward_subsumption_resolution,[],[f26987,f23322]) ).
fof(f26990,plain,
! [X0] :
( r1_tarski(sF1514,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1512,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510)))
| ~ m1_subset_1(sK1512,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510)))
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(superposition,[],[f20418,f23308]) ).
fof(f26991,plain,
! [X0] :
( r1_tarski(sF1515,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1513,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510)))
| ~ m1_subset_1(sK1513,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510)))
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(superposition,[],[f20418,f23310]) ).
fof(f26998,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1517))
| r1_tarski(sF1515,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1513,X0)
| ~ m1_subset_1(sK1513,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510)))
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(forward_demodulation,[],[f26991,f23314]) ).
fof(f26999,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF1517))
| r1_tarski(sF1514,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1512,X0)
| ~ m1_subset_1(sK1512,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510)))
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(forward_demodulation,[],[f26990,f23314]) ).
fof(f27004,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1520)
| r1_tarski(sF1515,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1513,X0)
| ~ m1_subset_1(sK1513,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510)))
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(forward_demodulation,[],[f26998,f23321]) ).
fof(f27005,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1520)
| r1_tarski(sF1514,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1512,X0)
| ~ m1_subset_1(sK1512,k1_zfmisc_1(k2_zfmisc_1(sK1509,sK1510)))
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(forward_demodulation,[],[f26999,f23321]) ).
fof(f27009,plain,
! [X0] :
( ~ m1_subset_1(sK1513,k1_zfmisc_1(sF1517))
| ~ m1_subset_1(X0,sF1520)
| r1_tarski(sF1515,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1513,X0)
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(forward_demodulation,[],[f27004,f23314]) ).
fof(f27010,plain,
! [X0] :
( ~ m1_subset_1(sK1512,k1_zfmisc_1(sF1517))
| ~ m1_subset_1(X0,sF1520)
| r1_tarski(sF1514,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1512,X0)
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(forward_demodulation,[],[f27005,f23314]) ).
fof(f27014,plain,
! [X0] :
( ~ m1_subset_1(sK1513,sF1520)
| ~ m1_subset_1(X0,sF1520)
| r1_tarski(sF1515,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1513,X0)
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(forward_demodulation,[],[f27009,f23321]) ).
fof(f27015,plain,
! [X0] :
( ~ m1_subset_1(sK1512,sF1520)
| ~ m1_subset_1(X0,sF1520)
| r1_tarski(sF1514,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1512,X0)
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(forward_demodulation,[],[f27010,f23321]) ).
fof(f27019,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1520)
| r1_tarski(sF1515,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1513,X0)
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(forward_subsumption_resolution,[],[f27014,f23322]) ).
fof(f27020,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1520)
| r1_tarski(sF1514,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1512,X0)
| ~ m1_subset_1(sK1511,k1_zfmisc_1(sK1509)) ),
inference(forward_subsumption_resolution,[],[f27015,f23323]) ).
fof(f27023,plain,
! [X0] :
( ~ m1_subset_1(sK1511,sF1521)
| ~ m1_subset_1(X0,sF1520)
| r1_tarski(sF1515,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1513,X0) ),
inference(forward_demodulation,[],[f27019,f23325]) ).
fof(f27024,plain,
! [X0] :
( ~ m1_subset_1(sK1511,sF1521)
| ~ m1_subset_1(X0,sF1520)
| r1_tarski(sF1514,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ r1_tarski(sK1512,X0) ),
inference(forward_demodulation,[],[f27020,f23325]) ).
fof(f27027,plain,
! [X0] :
( r1_tarski(sF1515,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ m1_subset_1(X0,sF1520)
| ~ r1_tarski(sK1513,X0) ),
inference(forward_subsumption_resolution,[],[f27023,f23326]) ).
fof(f27028,plain,
! [X0] :
( r1_tarski(sF1514,k8_relset_2(sK1509,sK1510,sK1511,X0))
| ~ m1_subset_1(X0,sF1520)
| ~ r1_tarski(sK1512,X0) ),
inference(forward_subsumption_resolution,[],[f27024,f23326]) ).
fof(f27068,plain,
( m1_subset_1(sF1518,k1_zfmisc_1(sF1517))
| ~ m1_subset_1(sK1512,k1_zfmisc_1(sF1517))
| ~ m1_subset_1(sK1513,k1_zfmisc_1(sF1517)) ),
inference(superposition,[],[f12833,f23316]) ).
fof(f27071,plain,
( m1_subset_1(sF1518,sF1520)
| ~ m1_subset_1(sK1512,k1_zfmisc_1(sF1517))
| ~ m1_subset_1(sK1513,k1_zfmisc_1(sF1517)) ),
inference(forward_demodulation,[],[f27068,f23321]) ).
fof(f27073,plain,
( ~ m1_subset_1(sK1512,k1_zfmisc_1(sF1517))
| ~ m1_subset_1(sK1513,k1_zfmisc_1(sF1517))
| spl1522_549 ),
inference(forward_subsumption_resolution,[],[f27071,f26975]) ).
fof(f27075,plain,
( ~ m1_subset_1(sK1512,sF1520)
| ~ m1_subset_1(sK1513,k1_zfmisc_1(sF1517))
| spl1522_549 ),
inference(forward_demodulation,[],[f27073,f23321]) ).
fof(f27076,plain,
( ~ m1_subset_1(sK1513,k1_zfmisc_1(sF1517))
| spl1522_549 ),
inference(forward_subsumption_resolution,[],[f27075,f23323]) ).
fof(f27077,plain,
( ~ m1_subset_1(sK1513,sF1520)
| spl1522_549 ),
inference(forward_demodulation,[],[f27076,f23321]) ).
fof(f27078,plain,
( $false
| spl1522_549 ),
inference(forward_subsumption_resolution,[],[f27077,f23322]) ).
fof(f27079,plain,
spl1522_549,
inference(avatar_contradiction_clause,[],[f27078]) ).
fof(f27100,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK1510))
| k2_xboole_0(X0,sF1515) = k4_subset_1(sK1510,X0,sF1515) ),
inference(resolution,[],[f12836,f26988]) ).
fof(f27101,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF1520)
| ~ m1_subset_1(X0,sF1520)
| k2_xboole_0(X1,X0) = k4_subset_1(sF1517,X1,X0) ),
inference(superposition,[],[f12836,f23321]) ).
fof(f27104,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1520)
| k2_xboole_0(sK1512,X0) = k4_subset_1(sF1517,sK1512,X0) ),
inference(resolution,[],[f27101,f23323]) ).
fof(f27107,plain,
( r1_tarski(sF1515,sF1519)
| ~ m1_subset_1(sF1518,sF1520)
| ~ r1_tarski(sK1513,sF1518) ),
inference(superposition,[],[f27027,f23318]) ).
fof(f27111,plain,
( r1_tarski(sF1515,sF1519)
| ~ r1_tarski(sK1513,sF1518)
| ~ spl1522_549 ),
inference(forward_subsumption_resolution,[],[f27107,f26974]) ).
fof(f27122,definition,
( spl1522_552
<=> r1_tarski(sK1513,sF1518) ),
introduced(definition,[new_symbols(definition,[spl1522_552])],[avatar_definition]) ).
fof(f27124,plain,
( ~ r1_tarski(sK1513,sF1518)
| spl1522_552 ),
inference(avatar_component_clause,[],[f27122]) ).
fof(f27126,definition,
( spl1522_553
<=> r1_tarski(sF1515,sF1519) ),
introduced(definition,[new_symbols(definition,[spl1522_553])],[avatar_definition]) ).
fof(f27128,plain,
( r1_tarski(sF1515,sF1519)
| ~ spl1522_553 ),
inference(avatar_component_clause,[],[f27126]) ).
fof(f27129,plain,
( ~ spl1522_552
| spl1522_553
| ~ spl1522_549 ),
inference(avatar_split_clause,[],[f27111,f26973,f27126,f27122]) ).
fof(f27130,plain,
( r1_tarski(sF1514,sF1519)
| ~ m1_subset_1(sF1518,sF1520)
| ~ r1_tarski(sK1512,sF1518) ),
inference(superposition,[],[f27028,f23318]) ).
fof(f27134,plain,
( r1_tarski(sF1514,sF1519)
| ~ r1_tarski(sK1512,sF1518)
| ~ spl1522_549 ),
inference(forward_subsumption_resolution,[],[f27130,f26974]) ).
fof(f27145,definition,
( spl1522_556
<=> r1_tarski(sK1512,sF1518) ),
introduced(definition,[new_symbols(definition,[spl1522_556])],[avatar_definition]) ).
fof(f27147,plain,
( ~ r1_tarski(sK1512,sF1518)
| spl1522_556 ),
inference(avatar_component_clause,[],[f27145]) ).
fof(f27149,definition,
( spl1522_557
<=> r1_tarski(sF1514,sF1519) ),
introduced(definition,[new_symbols(definition,[spl1522_557])],[avatar_definition]) ).
fof(f27151,plain,
( r1_tarski(sF1514,sF1519)
| ~ spl1522_557 ),
inference(avatar_component_clause,[],[f27149]) ).
fof(f27152,plain,
( ~ spl1522_556
| spl1522_557
| ~ spl1522_549 ),
inference(avatar_split_clause,[],[f27134,f26973,f27149,f27145]) ).
fof(f27205,plain,
k4_subset_1(sF1517,sK1512,sK1513) = k2_xboole_0(sK1512,sK1513),
inference(resolution,[],[f27104,f23322]) ).
fof(f27207,plain,
sF1518 = k2_xboole_0(sK1512,sK1513),
inference(forward_demodulation,[],[f27205,f23316]) ).
fof(f27242,plain,
( r1_tarski(k3_subset_1(sF1517,sF1518),k3_subset_1(sF1517,sK1512))
| ~ m1_subset_1(sK1513,k1_zfmisc_1(sF1517))
| ~ m1_subset_1(sK1512,k1_zfmisc_1(sF1517)) ),
inference(superposition,[],[f12764,f23316]) ).
fof(f27245,plain,
( ~ m1_subset_1(sK1513,sF1520)
| r1_tarski(k3_subset_1(sF1517,sF1518),k3_subset_1(sF1517,sK1512))
| ~ m1_subset_1(sK1512,k1_zfmisc_1(sF1517)) ),
inference(forward_demodulation,[],[f27242,f23321]) ).
fof(f27248,plain,
( r1_tarski(k3_subset_1(sF1517,sF1518),k3_subset_1(sF1517,sK1512))
| ~ m1_subset_1(sK1512,k1_zfmisc_1(sF1517)) ),
inference(forward_subsumption_resolution,[],[f27245,f23322]) ).
fof(f27251,plain,
( ~ m1_subset_1(sK1512,sF1520)
| r1_tarski(k3_subset_1(sF1517,sF1518),k3_subset_1(sF1517,sK1512)) ),
inference(forward_demodulation,[],[f27248,f23321]) ).
fof(f27253,plain,
r1_tarski(k3_subset_1(sF1517,sF1518),k3_subset_1(sF1517,sK1512)),
inference(forward_subsumption_resolution,[],[f27251,f23323]) ).
fof(f27327,plain,
( r1_tarski(sK1512,sF1518)
| ~ m1_subset_1(sF1518,k1_zfmisc_1(sF1517))
| ~ m1_subset_1(sK1512,k1_zfmisc_1(sF1517)) ),
inference(resolution,[],[f12753,f27253]) ).
fof(f27333,plain,
( ~ m1_subset_1(sF1518,k1_zfmisc_1(sF1517))
| ~ m1_subset_1(sK1512,k1_zfmisc_1(sF1517))
| spl1522_556 ),
inference(forward_subsumption_resolution,[],[f27327,f27147]) ).
fof(f27336,plain,
( ~ m1_subset_1(sF1518,sF1520)
| ~ m1_subset_1(sK1512,k1_zfmisc_1(sF1517))
| spl1522_556 ),
inference(forward_demodulation,[],[f27333,f23321]) ).
fof(f27337,plain,
( ~ m1_subset_1(sK1512,k1_zfmisc_1(sF1517))
| ~ spl1522_549
| spl1522_556 ),
inference(forward_subsumption_resolution,[],[f27336,f26974]) ).
fof(f27338,plain,
( ~ m1_subset_1(sK1512,sF1520)
| ~ spl1522_549
| spl1522_556 ),
inference(forward_demodulation,[],[f27337,f23321]) ).
fof(f27339,plain,
( $false
| ~ spl1522_549
| spl1522_556 ),
inference(forward_subsumption_resolution,[],[f27338,f23323]) ).
fof(f27340,plain,
( ~ spl1522_549
| spl1522_556 ),
inference(avatar_contradiction_clause,[],[f27339]) ).
fof(f27359,plain,
k4_subset_1(sK1510,sF1514,sF1515) = k2_xboole_0(sF1514,sF1515),
inference(resolution,[],[f27100,f26982]) ).
fof(f27364,plain,
sF1516 = k2_xboole_0(sF1514,sF1515),
inference(forward_demodulation,[],[f27359,f23312]) ).
fof(f27365,plain,
! [X0] :
( ~ r1_tarski(sF1515,X0)
| ~ r1_tarski(sF1514,X0)
| r1_tarski(sF1516,X0) ),
inference(superposition,[],[f12358,f27364]) ).
fof(f27474,plain,
( ~ r1_tarski(sF1514,sF1519)
| r1_tarski(sF1516,sF1519)
| ~ spl1522_553 ),
inference(resolution,[],[f27128,f27365]) ).
fof(f27476,plain,
( r1_tarski(sF1516,sF1519)
| ~ spl1522_553
| ~ spl1522_557 ),
inference(forward_subsumption_resolution,[],[f27474,f27151]) ).
fof(f27477,plain,
( $false
| ~ spl1522_553
| ~ spl1522_557 ),
inference(forward_subsumption_resolution,[],[f27476,f23319]) ).
fof(f27478,plain,
( ~ spl1522_553
| ~ spl1522_557 ),
inference(avatar_contradiction_clause,[],[f27477]) ).
fof(f27512,plain,
! [X0] :
( ~ r1_tarski(X0,sK1513)
| r1_tarski(X0,sF1518) ),
inference(superposition,[],[f12360,f27207]) ).
fof(f27520,plain,
r1_tarski(sK1513,sF1518),
inference(resolution,[],[f27512,f22411]) ).
fof(f27522,plain,
( $false
| spl1522_552 ),
inference(forward_subsumption_resolution,[],[f27520,f27124]) ).
fof(f27523,plain,
spl1522_552,
inference(avatar_contradiction_clause,[],[f27522]) ).
cnf(s477,plain,
spl1522_549,
inference(sat_conversion,[],[f27079]) ).
cnf(s479,plain,
( ~ spl1522_549
| ~ spl1522_552
| spl1522_553 ),
inference(sat_conversion,[],[f27129]) ).
cnf(s481,plain,
( ~ spl1522_549
| ~ spl1522_556
| spl1522_557 ),
inference(sat_conversion,[],[f27152]) ).
cnf(s484,plain,
( ~ spl1522_549
| spl1522_556 ),
inference(sat_conversion,[],[f27340]) ).
cnf(s487,plain,
( ~ spl1522_553
| ~ spl1522_557 ),
inference(sat_conversion,[],[f27478]) ).
cnf(s488,plain,
spl1522_552,
inference(sat_conversion,[],[f27523]) ).
cnf(s489,plain,
( ~ spl1522_549
| spl1522_553 ),
inference(rat,[],[s479,s488]) ).
cnf(s490,plain,
spl1522_556,
inference(rat,[],[s484,s477]) ).
cnf(s491,plain,
spl1522_553,
inference(rat,[],[s489,s477]) ).
cnf(s492,plain,
spl1522_557,
inference(rat,[],[s481,s477,s490]) ).
cnf(s493,plain,
$false,
inference(rat,[],[s487,s492,s491]) ).
fof(f27524,plain,
$false,
inference(avatar_sat_refutation,[],[s493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU438+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 05:26:40 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.92/3.24 % (2071061)Detected formulas, will run a generic FOF schedule.
% 15.92/3.24 % (2071066)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=2143689640:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 15.92/3.24 % (2071070)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=367707960:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 15.92/3.24 % (2071069)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2688606082:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 15.92/3.24 % (2071068)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=3778503522:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 15.92/3.24 % (2071067)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=4043580861:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 15.92/3.24 % (2071072)dis-21_1_sil=8000:lcm=predicate:random_seed=4227006218:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 15.92/3.24 % (2071071)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3652312242:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 15.92/3.24 % (2071069)Instruction limit reached!
% 15.92/3.24 % (2071069)------------------------------
% 15.92/3.24 % (2071069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.24 % (2071069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.24 % (2071069)CaDiCaL version: 2.1.3
% 15.92/3.24 % (2071069)Termination reason: Instruction limit
% 15.92/3.24 % (2071069)Termination phase: Saturation
% 15.92/3.24 % (2071069)Time elapsed: 0.074 s
% 15.92/3.24 % (2071069)Peak memory usage: 94 MB
% 15.92/3.24 % (2071069)Instructions burned: 110 (million)
% 15.92/3.24 % (2071070)Instruction limit reached!
% 15.92/3.24 % (2071070)------------------------------
% 15.92/3.24 % (2071070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.24 % (2071070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.24 % (2071070)CaDiCaL version: 2.1.3
% 15.92/3.24 % (2071070)Termination reason: Instruction limit
% 15.92/3.24 % (2071070)Termination phase: Saturation
% 15.92/3.24 % (2071070)Time elapsed: 0.077 s
% 15.92/3.24 % (2071070)Peak memory usage: 94 MB
% 15.92/3.24 % (2071070)Instructions burned: 120 (million)
% 15.92/3.24 % (2071071)Instruction limit reached!
% 15.92/3.24 % (2071071)------------------------------
% 15.92/3.24 % (2071071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.24 % (2071071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.24 % (2071071)CaDiCaL version: 2.1.3
% 15.92/3.24 % (2071071)Termination reason: Instruction limit
% 15.92/3.24 % (2071071)Termination phase: Preprocessing 3
% 15.92/3.24 % (2071071)Time elapsed: 0.088 s
% 15.92/3.24 % (2071071)Peak memory usage: 94 MB
% 15.92/3.24 % (2071071)Instructions burned: 139 (million)
% 15.92/3.24 % (2071072)Instruction limit reached!
% 15.92/3.24 % (2071072)------------------------------
% 15.92/3.24 % (2071072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.92/3.24 % (2071072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/3.24 % (2071072)CaDiCaL version: 2.1.3
% 15.92/3.24 % (2071072)Termination reason: Instruction limit
% 15.92/3.24 % (2071072)Termination phase: Clausification
% 15.92/3.24 % (2071072)Time elapsed: 0.089 s
% 15.92/3.24 % (2071072)Peak memory usage: 95 MB
% 15.92/3.24 % (2071072)Instructions burned: 130 (million)
% 15.92/3.24 % (2071080)lrs+10_1_sil=8000:sp=occurrence:random_seed=493076164:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 15.92/3.24 % (2071081)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2086010309:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 15.92/3.24 % (2071083)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=1202132027:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 15.92/3.24 % (2071082)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2955204297:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 15.92/3.24 % (2071081)Instruction limit reached!
% 11.30/3.81 % (2071081)------------------------------
% 11.30/3.81 % (2071081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071081)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071081)Termination reason: Instruction limit
% 11.30/3.81 % (2071081)Termination phase: Saturation
% 11.30/3.81 % (2071081)Time elapsed: 0.089 s
% 11.30/3.81 % (2071081)Peak memory usage: 94 MB
% 11.30/3.81 % (2071081)Instructions burned: 157 (million)
% 11.30/3.81 % (2071083)Instruction limit reached!
% 11.30/3.81 % (2071083)------------------------------
% 11.30/3.81 % (2071083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071083)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071083)Termination reason: Instruction limit
% 11.30/3.81 % (2071083)Termination phase: Property scanning
% 11.30/3.81 % (2071083)Time elapsed: 0.145 s
% 11.30/3.81 % (2071083)Peak memory usage: 98 MB
% 11.30/3.81 % (2071083)Instructions burned: 250 (million)
% 11.30/3.81 % (2071080)Instruction limit reached!
% 11.30/3.81 % (2071080)------------------------------
% 11.30/3.81 % (2071080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071080)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071080)Termination reason: Instruction limit
% 11.30/3.81 % (2071080)Termination phase: Saturation
% 11.30/3.81 % (2071080)Time elapsed: 0.192 s
% 11.30/3.81 % (2071080)Peak memory usage: 97 MB
% 11.30/3.81 % (2071080)Instructions burned: 286 (million)
% 11.30/3.81 % (2071082)Instruction limit reached!
% 11.30/3.81 % (2071082)------------------------------
% 11.30/3.81 % (2071082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071082)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071082)Termination reason: Instruction limit
% 11.30/3.81 % (2071082)Termination phase: Saturation
% 11.30/3.81 % (2071082)Time elapsed: 0.226 s
% 11.30/3.81 % (2071082)Peak memory usage: 96 MB
% 11.30/3.81 % (2071082)Instructions burned: 325 (million)
% 11.30/3.81 % (2071088)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2598767722:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.30/3.81 % (2071089)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4077316373:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 11.30/3.81 % (2071090)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=577487694:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 11.30/3.81 % (2071090)Instruction limit reached!
% 11.30/3.81 % (2071090)------------------------------
% 11.30/3.81 % (2071090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071090)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071090)Termination reason: Instruction limit
% 11.30/3.81 % (2071090)Termination phase: Saturation
% 11.30/3.81 % (2071090)Time elapsed: 0.071 s
% 11.30/3.81 % (2071090)Peak memory usage: 95 MB
% 11.30/3.81 % (2071090)Instructions burned: 114 (million)
% 11.30/3.81 % (2071092)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1871918204:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 11.30/3.81 % (2071088)Instruction limit reached!
% 11.30/3.81 % (2071088)------------------------------
% 11.30/3.81 % (2071088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071088)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071088)Termination reason: Instruction limit
% 11.30/3.81 % (2071088)Termination phase: Saturation
% 11.30/3.81 % (2071088)Time elapsed: 0.184 s
% 11.30/3.81 % (2071088)Peak memory usage: 97 MB
% 11.30/3.81 % (2071088)Instructions burned: 296 (million)
% 11.30/3.81 % (2071092)Instruction limit reached!
% 11.30/3.81 % (2071092)------------------------------
% 11.30/3.81 % (2071092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071092)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071092)Termination reason: Instruction limit
% 11.30/3.81 % (2071092)Termination phase: Preprocessing 3
% 11.30/3.81 % (2071092)Time elapsed: 0.086 s
% 11.30/3.81 % (2071092)Peak memory usage: 96 MB
% 11.30/3.81 % (2071092)Instructions burned: 127 (million)
% 11.30/3.81 % (2071096)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1713663323:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 11.30/3.81 % (2071097)lrs+10_1_sil=8000:sp=occurrence:random_seed=2718760893:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 11.30/3.81 % (2071096)Instruction limit reached!
% 11.30/3.81 % (2071096)------------------------------
% 11.30/3.81 % (2071096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071096)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071096)Termination reason: Instruction limit
% 11.30/3.81 % (2071096)Termination phase: SInE selection
% 11.30/3.81 % (2071096)Time elapsed: 0.053 s
% 11.30/3.81 % (2071096)Peak memory usage: 89 MB
% 11.30/3.81 % (2071096)Instructions burned: 115 (million)
% 11.30/3.81 % (2071098)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2950806297:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 11.30/3.81 % (2071101)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3041474668:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 11.30/3.81 % (2071098)Instruction limit reached!
% 11.30/3.81 % (2071098)------------------------------
% 11.30/3.81 % (2071098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071098)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071098)Termination reason: Instruction limit
% 11.30/3.81 % (2071098)Termination phase: Saturation
% 11.30/3.81 % (2071098)Time elapsed: 0.280 s
% 11.30/3.81 % (2071098)Peak memory usage: 98 MB
% 11.30/3.81 % (2071098)Instructions burned: 438 (million)
% 11.30/3.81 % (2071104)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2795614466:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 11.30/3.81 % (2071104)Instruction limit reached!
% 11.30/3.81 % (2071104)------------------------------
% 11.30/3.81 % (2071104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071104)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071104)Termination reason: Instruction limit
% 11.30/3.81 % (2071104)Termination phase: Saturation
% 11.30/3.81 % (2071104)Time elapsed: 0.083 s
% 11.30/3.81 % (2071104)Peak memory usage: 96 MB
% 11.30/3.81 % (2071104)Instructions burned: 136 (million)
% 11.30/3.81 % (2071097)Instruction limit reached!
% 11.30/3.81 % (2071097)------------------------------
% 11.30/3.81 % (2071097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071097)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071097)Termination reason: Instruction limit
% 11.30/3.81 % (2071097)Termination phase: Saturation
% 11.30/3.81 % (2071097)Time elapsed: 0.601 s
% 11.30/3.81 % (2071097)Peak memory usage: 104 MB
% 11.30/3.81 % (2071097)Instructions burned: 908 (million)
% 11.30/3.81 % (2071107)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=88686754:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 11.30/3.81 % (2071106)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3633885426:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 11.30/3.81 % (2071106)Instruction limit reached!
% 11.30/3.81 % (2071106)------------------------------
% 11.30/3.81 % (2071106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071106)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071106)Termination reason: Instruction limit
% 11.30/3.81 % (2071106)Termination phase: Saturation
% 11.30/3.81 % (2071106)Time elapsed: 0.313 s
% 11.30/3.81 % (2071106)Peak memory usage: 105 MB
% 11.30/3.81 % (2071106)Instructions burned: 592 (million)
% 11.30/3.81 % (2071089)Instruction limit reached!
% 11.30/3.81 % (2071089)------------------------------
% 11.30/3.81 % (2071089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071089)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071089)Termination reason: Instruction limit
% 11.30/3.81 % (2071089)Termination phase: Saturation
% 11.30/3.81 % (2071089)Time elapsed: 1.500 s
% 11.30/3.81 % (2071089)Peak memory usage: 242 MB
% 11.30/3.81 % (2071089)Instructions burned: 2351 (million)
% 11.30/3.81 % (2071110)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3405356789:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 11.30/3.81 % (2071110)Instruction limit reached!
% 11.30/3.81 % (2071110)------------------------------
% 11.30/3.81 % (2071110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071110)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071110)Termination reason: Instruction limit
% 11.30/3.81 % (2071110)Termination phase: General splitting
% 11.30/3.81 % (2071110)Time elapsed: 0.072 s
% 11.30/3.81 % (2071110)Peak memory usage: 92 MB
% 11.30/3.81 % (2071110)Instructions burned: 125 (million)
% 11.30/3.81 % (2071112)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2898229037:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 11.30/3.81 % (2071112)Instruction limit reached!
% 11.30/3.81 % (2071112)------------------------------
% 11.30/3.81 % (2071112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071112)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071112)Termination reason: Instruction limit
% 11.30/3.81 % (2071112)Termination phase: Preprocessing 1
% 11.30/3.81 % (2071112)Time elapsed: 0.073 s
% 11.30/3.81 % (2071112)Peak memory usage: 90 MB
% 11.30/3.81 % (2071112)Instructions burned: 136 (million)
% 11.30/3.81 % (2071113)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3424868112:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/141Mi)
% 11.30/3.81 % (2071066)First to succeed.
% 11.30/3.81 % (2071066)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2071061"
% 11.30/3.81 % (2071113)Instruction limit reached!
% 11.30/3.81 % (2071113)------------------------------
% 11.30/3.81 % (2071113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.30/3.81 % (2071113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.30/3.81 % (2071113)CaDiCaL version: 2.1.3
% 11.30/3.81 % (2071113)Termination reason: Instruction limit
% 11.30/3.81 % (2071113)Termination phase: Saturation
% 11.30/3.81 % (2071113)Time elapsed: 0.094 s
% 11.30/3.81 % (2071113)Peak memory usage: 95 MB
% 11.30/3.81 % (2071113)Instructions burned: 143 (million)
% 11.30/3.81 % (2071116)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=530298897:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 11.30/3.81 % (2071117)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=448274696:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 11.30/3.81 % (2071066)Refutation found. Thanks to Tanya!
% 11.30/3.81 % SZS status Theorem for theBenchmark
% 11.30/3.81 % SZS output start Proof for theBenchmark
% See solution above
% 20.46/4.01 % (2071066)------------------------------
% 20.46/4.01 % (2071066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.46/4.01 % (2071066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.46/4.01 % (2071066)CaDiCaL version: 2.1.3
% 20.46/4.01 % (2071066)Termination reason: Refutation
% 20.46/4.01 % (2071066)Time elapsed: 2.378 s
% 20.46/4.01 % (2071066)Peak memory usage: 254 MB
% 20.46/4.01 % (2071066)Instructions burned: 4523 (million)
% 20.46/4.01 % (2071066)------------------------------
% 20.46/4.01 % (2071066)------------------------------
% 20.46/4.01 % (2071061)Success in time 2.963 s
% 20.46/4.01 % Vampire exiting
%------------------------------------------------------------------------------