%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU438+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 12:49:03 PM UTC 2026
% Result : Theorem 9.99s 2.26s
% Output : Refutation 10.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 22
% Syntax : Number of formulae : 193 ( 42 unt; 11 def)
% Number of atoms : 714 ( 45 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 897 ( 376 ~; 449 |; 44 &)
% ( 9 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-4 aty)
% Number of variables : 312 ( 0 sgn 300 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox2/benchmark/theBenchmark.p',t41_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(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)],[f1]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( X2 = k2_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f9,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f18,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/sandbox2/benchmark/theBenchmark.p',dt_k4_subset_1) ).
fof(f22,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/sandbox2/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f49,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/sandbox2/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f54,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(k2_xboole_0(X1,X2),k1_tarski(X0)) = k2_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_relset_2) ).
fof(f57,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m1_subset_1(X3,X0)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
<=> ! [X5] :
( r2_hidden(X5,X2)
=> r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relset_2) ).
fof(f60,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f61,axiom,
! [X0,X1,X2] :
~ ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f73,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,[],[f2]) ).
fof(f76,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f79,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f82,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,[],[f18]) ).
fof(f83,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,[],[f82]) ).
fof(f86,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,[],[f22]) ).
fof(f87,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,[],[f86]) ).
fof(f99,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,[],[f49]) ).
fof(f100,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,[],[f99]) ).
fof(f104,plain,
! [X0,X1] :
( ! [X2] :
( k9_relat_1(k2_xboole_0(X1,X2),k1_tarski(X0)) = k2_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0)))
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f106,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
<=> ! [X5] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X2) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f109,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f60]) ).
fof(f110,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f61]) ).
fof(f115,plain,
( ~ r1_tarski(k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK3),k8_relset_2(sK0,sK1,sK2,sK4)),k8_relset_2(sK0,sK1,sK2,k4_subset_1(k2_zfmisc_1(sK0,sK1),sK3,sK4)))
& m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
& m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,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)],[f73]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f117]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK5(X0,X1,X2),X0)
& ~ r2_hidden(sK5(X0,X1,X2),X1) )
| ~ r2_hidden(sK5(X0,X1,X2),X2) )
& ( r2_hidden(sK5(X0,X1,X2),X0)
| r2_hidden(sK5(X0,X1,X2),X1)
| r2_hidden(sK5(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f121,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f120]) ).
fof(f122,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK6(X0,X1),X1)
& r2_hidden(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f121]) ).
fof(f134,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ? [X5] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
& r2_hidden(X5,X2) ) )
& ( ! [X5] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f106]) ).
fof(f135,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ? [X5] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(X5)))
& r2_hidden(X5,X2) ) )
& ( ! [X6] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X6)))
| ~ r2_hidden(X6,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(rectify,[],[f134]) ).
fof(f136,plain,
! [X0] :
( ! [X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(sK17(X2,X3,X4))))
& r2_hidden(sK17(X2,X3,X4),X2) ) )
& ( ! [X6] :
( r2_hidden(X3,k9_relat_1(X4,k1_tarski(X6)))
| ~ r2_hidden(X6,X2) )
| ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4)) ) )
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ m1_subset_1(X3,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| v1_xboole_0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X5,sK17(X2,X3,X4))],[f135]) ).
fof(f138,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f115]) ).
fof(f139,plain,
m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f115]) ).
fof(f140,plain,
m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f115]) ).
fof(f141,plain,
~ r1_tarski(k4_subset_1(sK1,k8_relset_2(sK0,sK1,sK2,sK3),k8_relset_2(sK0,sK1,sK2,sK4)),k8_relset_2(sK0,sK1,sK2,k4_subset_1(k2_zfmisc_1(sK0,sK1),sK3,sK4))),
inference(cnf_transformation,[],[f115]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f147,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f119]) ).
fof(f148,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f119]) ).
fof(f149,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f119]) ).
fof(f154,plain,
! [X0,X1] :
( r2_hidden(sK6(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f155,plain,
! [X0,X1] :
( ~ r2_hidden(sK6(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f159,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,[],[f83]) ).
fof(f162,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,[],[f87]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k9_relat_1(k2_xboole_0(X1,X2),k1_tarski(X0)) = k2_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0)))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f202,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ~ r2_hidden(X6,X2)
| r2_hidden(X3,k9_relat_1(X4,k1_tarski(X6)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f203,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| r2_hidden(sK17(X2,X3,X4),X2)
| r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f204,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X3,k9_relat_1(X4,k1_tarski(sK17(X2,X3,X4))))
| r2_hidden(X3,k8_relset_2(X1,X0,X2,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| ~ m1_subset_1(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f110]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f213,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k2_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f149]) ).
fof(f214,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k2_xboole_0(X0,X1))
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f148]) ).
fof(f215,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f147]) ).
fof(f216,definition,
sF18 = k8_relset_2(sK0,sK1,sK2,sK3),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f217,plain,
k8_relset_2(sK0,sK1,sK2,sK3) = sF18,
inference(reorient_equations,[],[f216]) ).
fof(f218,definition,
sF19 = k8_relset_2(sK0,sK1,sK2,sK4),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f219,plain,
k8_relset_2(sK0,sK1,sK2,sK4) = sF19,
inference(reorient_equations,[],[f218]) ).
fof(f220,definition,
sF20 = k4_subset_1(sK1,sF18,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f221,plain,
k4_subset_1(sK1,sF18,sF19) = sF20,
inference(reorient_equations,[],[f220]) ).
fof(f222,definition,
sF21 = k2_zfmisc_1(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f223,plain,
k2_zfmisc_1(sK0,sK1) = sF21,
inference(reorient_equations,[],[f222]) ).
fof(f224,definition,
sF22 = k4_subset_1(sF21,sK3,sK4),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f225,plain,
k4_subset_1(sF21,sK3,sK4) = sF22,
inference(reorient_equations,[],[f224]) ).
fof(f226,definition,
sF23 = k8_relset_2(sK0,sK1,sK2,sF22),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f227,plain,
k8_relset_2(sK0,sK1,sK2,sF22) = sF23,
inference(reorient_equations,[],[f226]) ).
fof(f228,plain,
~ r1_tarski(sF20,sF23),
inference(definition_folding,[],[f141,f227,f225,f223,f221,f219,f217]) ).
fof(f229,definition,
sF24 = k1_zfmisc_1(sF21),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f230,plain,
k1_zfmisc_1(sF21) = sF24,
inference(reorient_equations,[],[f229]) ).
fof(f231,plain,
m1_subset_1(sK4,sF24),
inference(definition_folding,[],[f140,f230,f223]) ).
fof(f232,plain,
m1_subset_1(sK3,sF24),
inference(definition_folding,[],[f139,f230,f223]) ).
fof(f233,definition,
sF25 = k1_zfmisc_1(sK0),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f234,plain,
k1_zfmisc_1(sK0) = sF25,
inference(reorient_equations,[],[f233]) ).
fof(f235,plain,
m1_subset_1(sK2,sF25),
inference(definition_folding,[],[f138,f234]) ).
fof(f239,plain,
( m1_subset_1(sF19,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(superposition,[],[f162,f219]) ).
fof(f240,plain,
( m1_subset_1(sF18,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(superposition,[],[f162,f217]) ).
fof(f243,plain,
( ~ m1_subset_1(sK2,sF25)
| m1_subset_1(sF18,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f240,f234]) ).
fof(f244,plain,
( ~ m1_subset_1(sK2,sF25)
| m1_subset_1(sF19,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_demodulation,[],[f239,f234]) ).
fof(f246,plain,
( m1_subset_1(sF18,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f243,f235]) ).
fof(f247,plain,
( m1_subset_1(sF19,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(forward_subsumption_resolution,[],[f244,f235]) ).
fof(f249,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF21))
| m1_subset_1(sF18,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f246,f223]) ).
fof(f250,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF21))
| m1_subset_1(sF19,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f247,f223]) ).
fof(f252,plain,
( ~ m1_subset_1(sK3,sF24)
| m1_subset_1(sF18,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f249,f230]) ).
fof(f253,plain,
( ~ m1_subset_1(sK4,sF24)
| m1_subset_1(sF19,k1_zfmisc_1(sK1)) ),
inference(forward_demodulation,[],[f250,f230]) ).
fof(f255,plain,
m1_subset_1(sF18,k1_zfmisc_1(sK1)),
inference(forward_subsumption_resolution,[],[f252,f232]) ).
fof(f256,plain,
m1_subset_1(sF19,k1_zfmisc_1(sK1)),
inference(forward_subsumption_resolution,[],[f253,f231]) ).
fof(f262,definition,
( spl26_2
<=> m1_subset_1(sF22,sF24) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f263,plain,
( m1_subset_1(sF22,sF24)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f264,plain,
( ~ m1_subset_1(sF22,sF24)
| spl26_2 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f267,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF21))
| v1_relat_1(X0) ),
inference(superposition,[],[f144,f223]) ).
fof(f268,plain,
! [X0] :
( ~ m1_subset_1(X0,sF24)
| v1_relat_1(X0) ),
inference(forward_demodulation,[],[f267,f230]) ).
fof(f269,plain,
v1_relat_1(sK3),
inference(resolution,[],[f268,f232]) ).
fof(f270,plain,
v1_relat_1(sK4),
inference(resolution,[],[f268,f231]) ).
fof(f273,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| k4_subset_1(sK1,X0,sF19) = k2_xboole_0(X0,sF19) ),
inference(resolution,[],[f193,f256]) ).
fof(f274,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF24)
| ~ m1_subset_1(X0,sF24)
| k2_xboole_0(X1,X0) = k4_subset_1(sF21,X1,X0) ),
inference(superposition,[],[f193,f230]) ).
fof(f277,plain,
! [X0] :
( ~ m1_subset_1(X0,sF24)
| k2_xboole_0(sK3,X0) = k4_subset_1(sF21,sK3,X0) ),
inference(resolution,[],[f274,f232]) ).
fof(f326,plain,
! [X2,X0,X1] :
( r2_hidden(sK6(k2_xboole_0(X0,X1),X2),X1)
| r2_hidden(sK6(k2_xboole_0(X0,X1),X2),X0)
| r1_tarski(k2_xboole_0(X0,X1),X2) ),
inference(resolution,[],[f215,f154]) ).
fof(f333,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF21))
| r2_hidden(sK17(X1,X2,X0),X1)
| r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| ~ m1_subset_1(X2,sK1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) ),
inference(superposition,[],[f203,f223]) ).
fof(f334,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,sF24)
| r2_hidden(sK17(X1,X2,X0),X1)
| r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| ~ m1_subset_1(X2,sK1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) ),
inference(forward_demodulation,[],[f333,f230]) ).
fof(f335,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,sF25)
| ~ m1_subset_1(X0,sF24)
| r2_hidden(sK17(X1,X2,X0),X1)
| r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| ~ m1_subset_1(X2,sK1)
| v1_xboole_0(sK1) ),
inference(forward_demodulation,[],[f334,f234]) ).
fof(f337,definition,
( spl26_8
<=> v1_xboole_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl26_8])],[avatar_definition]) ).
fof(f338,plain,
( ~ v1_xboole_0(sK1)
| spl26_8 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f339,plain,
( v1_xboole_0(sK1)
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,definition,
( spl26_9
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X1,sF25)
| ~ m1_subset_1(X2,sK1)
| r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| r2_hidden(sK17(X1,X2,X0),X1)
| ~ m1_subset_1(X0,sF24) ) ),
introduced(definition,[new_symbols(definition,[spl26_9])],[avatar_definition]) ).
fof(f342,plain,
( ! [X2,X0,X1] :
( r2_hidden(X2,k8_relset_2(sK0,sK1,X1,X0))
| r2_hidden(sK17(X1,X2,X0),X1)
| ~ m1_subset_1(X2,sK1)
| ~ m1_subset_1(X1,sF25)
| ~ m1_subset_1(X0,sF24) )
| ~ spl26_9 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f343,plain,
( spl26_8
| spl26_9 ),
inference(avatar_split_clause,[],[f335,f341,f337]) ).
fof(f348,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF19)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) ),
inference(superposition,[],[f202,f219]) ).
fof(f349,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sF18)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) ),
inference(superposition,[],[f202,f217]) ).
fof(f361,plain,
( m1_subset_1(sF20,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF18,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF19,k1_zfmisc_1(sK1)) ),
inference(superposition,[],[f159,f221]) ).
fof(f362,plain,
( m1_subset_1(sF22,k1_zfmisc_1(sF21))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sF21))
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF21)) ),
inference(superposition,[],[f159,f225]) ).
fof(f365,plain,
( m1_subset_1(sF22,sF24)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sF21))
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF21)) ),
inference(forward_demodulation,[],[f362,f230]) ).
fof(f366,plain,
( m1_subset_1(sF20,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sF19,k1_zfmisc_1(sK1)) ),
inference(forward_subsumption_resolution,[],[f361,f255]) ).
fof(f368,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF21))
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF21))
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f365,f264]) ).
fof(f369,plain,
m1_subset_1(sF20,k1_zfmisc_1(sK1)),
inference(forward_subsumption_resolution,[],[f366,f256]) ).
fof(f370,plain,
( ~ m1_subset_1(sK3,sF24)
| ~ m1_subset_1(sK4,k1_zfmisc_1(sF21))
| spl26_2 ),
inference(forward_demodulation,[],[f368,f230]) ).
fof(f371,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF21))
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f370,f232]) ).
fof(f372,plain,
( ~ m1_subset_1(sK4,sF24)
| spl26_2 ),
inference(forward_demodulation,[],[f371,f230]) ).
fof(f373,plain,
( $false
| spl26_2 ),
inference(forward_subsumption_resolution,[],[f372,f231]) ).
fof(f374,plain,
spl26_2,
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f392,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| k9_relat_1(k2_xboole_0(X0,sK4),k1_tarski(X1)) = k2_xboole_0(k9_relat_1(X0,k1_tarski(X1)),k9_relat_1(sK4,k1_tarski(X1))) ),
inference(resolution,[],[f199,f270]) ).
fof(f407,plain,
k4_subset_1(sF21,sK3,sK4) = k2_xboole_0(sK3,sK4),
inference(resolution,[],[f277,f231]) ).
fof(f409,plain,
sF22 = k2_xboole_0(sK3,sK4),
inference(forward_demodulation,[],[f407,f225]) ).
fof(f451,plain,
! [X0] : k9_relat_1(k2_xboole_0(sK3,sK4),k1_tarski(X0)) = k2_xboole_0(k9_relat_1(sK3,k1_tarski(X0)),k9_relat_1(sK4,k1_tarski(X0))),
inference(resolution,[],[f392,f269]) ).
fof(f456,plain,
! [X0] : k9_relat_1(sF22,k1_tarski(X0)) = k2_xboole_0(k9_relat_1(sK3,k1_tarski(X0)),k9_relat_1(sK4,k1_tarski(X0))),
inference(forward_demodulation,[],[f451,f409]) ).
fof(f478,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK3,k1_tarski(X0)))
| r2_hidden(X1,k9_relat_1(sF22,k1_tarski(X0))) ),
inference(superposition,[],[f213,f456]) ).
fof(f479,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK4,k1_tarski(X0)))
| r2_hidden(X1,k9_relat_1(sF22,k1_tarski(X0))) ),
inference(superposition,[],[f214,f456]) ).
fof(f540,plain,
! [X0] :
( ~ r2_hidden(X0,sF18)
| m1_subset_1(X0,sK1) ),
inference(resolution,[],[f208,f255]) ).
fof(f541,plain,
! [X0] :
( ~ r2_hidden(X0,sF19)
| m1_subset_1(X0,sK1) ),
inference(resolution,[],[f208,f256]) ).
fof(f663,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| ~ v1_xboole_0(sK1) ),
inference(resolution,[],[f209,f369]) ).
fof(f684,plain,
( ! [X0] : ~ r2_hidden(X0,sF20)
| ~ spl26_8 ),
inference(forward_subsumption_resolution,[],[f663,f339]) ).
fof(f687,plain,
( ! [X0] : r1_tarski(sF20,X0)
| ~ spl26_8 ),
inference(resolution,[],[f684,f154]) ).
fof(f691,plain,
( $false
| ~ spl26_8 ),
inference(resolution,[],[f687,f228]) ).
fof(f692,plain,
~ spl26_8,
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f693,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF18)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f349,f338]) ).
fof(f694,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF19)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f348,f338]) ).
fof(f700,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF18)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f693,f540]) ).
fof(f701,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF19)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f694,f541]) ).
fof(f706,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK3,k1_zfmisc_1(sF21))
| ~ r2_hidden(X0,sF18)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_demodulation,[],[f700,f223]) ).
fof(f707,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK4,k1_zfmisc_1(sF21))
| ~ r2_hidden(X0,sF19)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_demodulation,[],[f701,f223]) ).
fof(f712,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK3,sF24)
| ~ r2_hidden(X0,sF18)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_demodulation,[],[f706,f230]) ).
fof(f713,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK4,sF24)
| ~ r2_hidden(X0,sF19)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_demodulation,[],[f707,f230]) ).
fof(f718,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF18)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f712,f232]) ).
fof(f719,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF19)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f713,f231]) ).
fof(f724,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK2,sF25)
| ~ r2_hidden(X0,sF18)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1))) )
| spl26_8 ),
inference(forward_demodulation,[],[f718,f234]) ).
fof(f725,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK2,sF25)
| ~ r2_hidden(X0,sF19)
| ~ r2_hidden(X1,sK2)
| r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1))) )
| spl26_8 ),
inference(forward_demodulation,[],[f719,f234]) ).
fof(f730,plain,
( ! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sK3,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(X0,sF18) )
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f724,f235]) ).
fof(f731,plain,
( ! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sK4,k1_tarski(X1)))
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(X0,sF19) )
| spl26_8 ),
inference(forward_subsumption_resolution,[],[f725,f235]) ).
fof(f796,plain,
( ! [X0,X1] :
( r2_hidden(X1,k9_relat_1(sF22,k1_tarski(X0)))
| ~ r2_hidden(X1,sF18)
| ~ r2_hidden(X0,sK2) )
| spl26_8 ),
inference(resolution,[],[f730,f478]) ).
fof(f817,plain,
( ! [X0,X1] :
( r2_hidden(X1,k9_relat_1(sF22,k1_tarski(X0)))
| ~ r2_hidden(X1,sF19)
| ~ r2_hidden(X0,sK2) )
| spl26_8 ),
inference(resolution,[],[f731,f479]) ).
fof(f863,plain,
( ! [X2,X3,X0,X1] :
( r2_hidden(X0,k8_relset_2(X2,X3,X1,sF22))
| ~ r2_hidden(sK17(X1,X0,sF22),sK2)
| ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(sF22,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X0,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| v1_xboole_0(X3) )
| spl26_8 ),
inference(resolution,[],[f817,f204]) ).
fof(f883,plain,
( ! [X0] :
( r2_hidden(X0,sF23)
| r2_hidden(sK17(sK2,X0,sF22),sK2)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,sF25)
| ~ m1_subset_1(sF22,sF24) )
| ~ spl26_9 ),
inference(superposition,[],[f342,f227]) ).
fof(f890,plain,
( ! [X0] :
( r2_hidden(X0,sF23)
| r2_hidden(sK17(sK2,X0,sF22),sK2)
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sF22,sF24) )
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f883,f235]) ).
fof(f894,plain,
( ! [X0] :
( r2_hidden(sK17(sK2,X0,sF22),sK2)
| r2_hidden(X0,sF23)
| ~ m1_subset_1(X0,sK1) )
| ~ spl26_2
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f890,f263]) ).
fof(f925,plain,
( ! [X2,X3,X0,X1] :
( r2_hidden(X0,k8_relset_2(X2,X3,X1,sF22))
| ~ r2_hidden(sK17(X1,X0,sF22),sK2)
| ~ r2_hidden(X0,sF18)
| ~ m1_subset_1(sF22,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X0,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| v1_xboole_0(X3) )
| spl26_8 ),
inference(resolution,[],[f796,f204]) ).
fof(f1199,plain,
( ! [X0] :
( r2_hidden(X0,sF23)
| ~ r2_hidden(sK17(sK2,X0,sF22),sK2)
| ~ r2_hidden(X0,sF18)
| ~ m1_subset_1(sF22,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) )
| spl26_8 ),
inference(superposition,[],[f925,f227]) ).
fof(f1201,plain,
( ! [X0] :
( r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF18)
| ~ m1_subset_1(sF22,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f1199,f894]) ).
fof(f1202,plain,
( ! [X0] :
( r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF18)
| ~ m1_subset_1(sF22,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f1201,f338]) ).
fof(f1203,plain,
( ! [X0] :
( r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF18)
| ~ m1_subset_1(sF22,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f1202,f540]) ).
fof(f1204,plain,
( ! [X0] :
( ~ m1_subset_1(sF22,k1_zfmisc_1(sF21))
| r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF18)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_demodulation,[],[f1203,f223]) ).
fof(f1205,plain,
( ! [X0] :
( ~ m1_subset_1(sF22,sF24)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF18)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_demodulation,[],[f1204,f230]) ).
fof(f1206,plain,
( ! [X0] :
( r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF18)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f1205,f263]) ).
fof(f1207,plain,
( ! [X0] :
( ~ m1_subset_1(sK2,sF25)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF18) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_demodulation,[],[f1206,f234]) ).
fof(f1208,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF18)
| r2_hidden(X0,sF23) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f1207,f235]) ).
fof(f1247,plain,
( ! [X0] :
( r2_hidden(X0,sF23)
| ~ r2_hidden(sK17(sK2,X0,sF22),sK2)
| ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(sF22,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) )
| spl26_8 ),
inference(superposition,[],[f863,f227]) ).
fof(f1249,plain,
( ! [X0] :
( r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(sF22,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| v1_xboole_0(sK1) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f1247,f894]) ).
fof(f1250,plain,
( ! [X0] :
( r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(sF22,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f1249,f338]) ).
fof(f1251,plain,
( ! [X0] :
( r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(sF22,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f1250,f541]) ).
fof(f1252,plain,
( ! [X0] :
( ~ m1_subset_1(sF22,k1_zfmisc_1(sF21))
| r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_demodulation,[],[f1251,f223]) ).
fof(f1253,plain,
( ! [X0] :
( ~ m1_subset_1(sF22,sF24)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_demodulation,[],[f1252,f230]) ).
fof(f1254,plain,
( ! [X0] :
( r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF19)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f1253,f263]) ).
fof(f1255,plain,
( ! [X0] :
( ~ m1_subset_1(sK2,sF25)
| r2_hidden(X0,sF23)
| ~ r2_hidden(X0,sF19) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_demodulation,[],[f1254,f234]) ).
fof(f1256,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF19)
| r2_hidden(X0,sF23) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f1255,f235]) ).
fof(f2694,plain,
k4_subset_1(sK1,sF18,sF19) = k2_xboole_0(sF18,sF19),
inference(resolution,[],[f273,f255]) ).
fof(f2699,plain,
sF20 = k2_xboole_0(sF18,sF19),
inference(forward_demodulation,[],[f2694,f221]) ).
fof(f2704,plain,
! [X0] :
( r2_hidden(sK6(sF20,X0),sF19)
| r2_hidden(sK6(sF20,X0),sF18)
| r1_tarski(sF20,X0) ),
inference(superposition,[],[f326,f2699]) ).
fof(f2732,plain,
( ! [X0] :
( r2_hidden(sK6(sF20,X0),sF18)
| r1_tarski(sF20,X0)
| r2_hidden(sK6(sF20,X0),sF23) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(resolution,[],[f2704,f1256]) ).
fof(f2760,plain,
( ! [X0] :
( r2_hidden(sK6(sF20,X0),sF23)
| r1_tarski(sF20,X0) )
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f2732,f1208]) ).
fof(f2771,plain,
( r1_tarski(sF20,sF23)
| r1_tarski(sF20,sF23)
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(resolution,[],[f2760,f155]) ).
fof(f2783,plain,
( r1_tarski(sF20,sF23)
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(duplicate_literal_removal,[],[f2771]) ).
fof(f2785,plain,
( $false
| ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(forward_subsumption_resolution,[],[f2783,f228]) ).
fof(f2786,plain,
( ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(avatar_contradiction_clause,[],[f2785]) ).
cnf(s5,plain,
( spl26_8
| spl26_9 ),
inference(sat_conversion,[],[f343]) ).
cnf(s6,plain,
spl26_2,
inference(sat_conversion,[],[f374]) ).
cnf(s10,plain,
~ spl26_8,
inference(sat_conversion,[],[f692]) ).
cnf(s103,plain,
( ~ spl26_2
| spl26_8
| ~ spl26_9 ),
inference(sat_conversion,[],[f2786]) ).
cnf(s104,plain,
~ spl26_9,
inference(rat,[],[s103,s10,s6]) ).
cnf(s105,plain,
$false,
inference(rat,[],[s5,s104,s10]) ).
fof(f2787,plain,
$false,
inference(avatar_sat_refutation,[],[s105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU438+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 28 05:32:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 9.99/2.26 % (2304694)Detected formulas, will run a generic FOF schedule.
% 9.99/2.26 % (2304700)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=3435847449:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.99/2.26 % (2304704)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3414992257:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.99/2.26 % (2304703)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3238970952:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.99/2.26 % (2304702)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2905430405:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.99/2.26 % (2304701)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=2280246014:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.99/2.26 % (2304699)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=1857112930:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.99/2.26 % (2304702)Refutation not found, incomplete strategy
% 9.99/2.26 % (2304702)------------------------------
% 9.99/2.26 % (2304702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304702)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304702)Termination reason: Refutation not found, incomplete strategy
% 9.99/2.26 % (2304702)Time elapsed: 0.003 s
% 9.99/2.26 % (2304702)Peak memory usage: 88 MB
% 9.99/2.26 % (2304702)Instructions burned: 3 (million)
% 9.99/2.26 % (2304705)dis-21_1_sil=8000:lcm=predicate:random_seed=2503139110: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)
% 9.99/2.26 % (2304703)Instruction limit reached!
% 9.99/2.26 % (2304703)------------------------------
% 9.99/2.26 % (2304703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304703)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304703)Termination reason: Instruction limit
% 9.99/2.26 % (2304703)Termination phase: Saturation
% 9.99/2.26 % (2304703)Time elapsed: 0.074 s
% 9.99/2.26 % (2304703)Peak memory usage: 88 MB
% 9.99/2.26 % (2304703)Instructions burned: 119 (million)
% 9.99/2.26 % (2304705)Instruction limit reached!
% 9.99/2.26 % (2304705)------------------------------
% 9.99/2.26 % (2304705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304705)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304705)Termination reason: Instruction limit
% 9.99/2.26 % (2304705)Termination phase: Saturation
% 9.99/2.26 % (2304705)Time elapsed: 0.078 s
% 9.99/2.26 % (2304705)Peak memory usage: 89 MB
% 9.99/2.26 % (2304705)Instructions burned: 130 (million)
% 9.99/2.26 % (2304704)Instruction limit reached!
% 9.99/2.26 % (2304704)------------------------------
% 9.99/2.26 % (2304704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304704)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304704)Termination reason: Instruction limit
% 9.99/2.26 % (2304704)Termination phase: Saturation
% 9.99/2.26 % (2304704)Time elapsed: 0.100 s
% 9.99/2.26 % (2304704)Peak memory usage: 90 MB
% 9.99/2.26 % (2304704)Instructions burned: 139 (million)
% 9.99/2.26 % (2304713)lrs+10_1_sil=8000:sp=occurrence:random_seed=2877737071:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.99/2.26 % (2304715)lrs+1011_1_sil=32000:sp=occurrence:random_seed=969496128:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.99/2.26 % (2304714)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3413127915:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.99/2.26 % (2304702)------------------------------
% 9.99/2.26 % (2304702)------------------------------
% 9.99/2.26 % (2304714)Instruction limit reached!
% 9.99/2.26 % (2304714)------------------------------
% 9.99/2.26 % (2304714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304714)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304714)Termination reason: Instruction limit
% 9.99/2.26 % (2304714)Termination phase: Saturation
% 9.99/2.26 % (2304714)Time elapsed: 0.077 s
% 9.99/2.26 % (2304714)Peak memory usage: 89 MB
% 9.99/2.26 % (2304714)Instructions burned: 157 (million)
% 9.99/2.26 % (2304719)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=1082657460:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.99/2.26 % (2304713)Instruction limit reached!
% 9.99/2.26 % (2304713)------------------------------
% 9.99/2.26 % (2304713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304713)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304713)Termination reason: Instruction limit
% 9.99/2.26 % (2304713)Termination phase: Saturation
% 9.99/2.26 % (2304713)Time elapsed: 0.173 s
% 9.99/2.26 % (2304713)Peak memory usage: 91 MB
% 9.99/2.26 % (2304713)Instructions burned: 286 (million)
% 9.99/2.26 % (2304720)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2117641613:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.99/2.26 % (2304715)Instruction limit reached!
% 9.99/2.26 % (2304715)------------------------------
% 9.99/2.26 % (2304715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304715)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304715)Termination reason: Instruction limit
% 9.99/2.26 % (2304715)Termination phase: Saturation
% 9.99/2.26 % (2304715)Time elapsed: 0.219 s
% 9.99/2.26 % (2304715)Peak memory usage: 92 MB
% 9.99/2.26 % (2304715)Instructions burned: 326 (million)
% 9.99/2.26 % (2304722)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3374595875:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.99/2.26 % (2304719)Instruction limit reached!
% 9.99/2.26 % (2304719)------------------------------
% 9.99/2.26 % (2304719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304719)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304719)Termination reason: Instruction limit
% 9.99/2.26 % (2304719)Termination phase: Saturation
% 9.99/2.26 % (2304719)Time elapsed: 0.138 s
% 9.99/2.26 % (2304719)Peak memory usage: 92 MB
% 9.99/2.26 % (2304719)Instructions burned: 248 (million)
% 9.99/2.26 % (2304724)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2405512870:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.99/2.26 % (2304720)Instruction limit reached!
% 9.99/2.26 % (2304720)------------------------------
% 9.99/2.26 % (2304720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304720)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304720)Termination reason: Instruction limit
% 9.99/2.26 % (2304720)Termination phase: Saturation
% 9.99/2.26 % (2304720)Time elapsed: 0.169 s
% 9.99/2.26 % (2304720)Peak memory usage: 89 MB
% 9.99/2.26 % (2304720)Instructions burned: 294 (million)
% 9.99/2.26 % (2304726)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=847099458:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.99/2.26 % (2304724)Instruction limit reached!
% 9.99/2.26 % (2304724)------------------------------
% 9.99/2.26 % (2304724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304724)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304724)Termination reason: Instruction limit
% 9.99/2.26 % (2304724)Termination phase: Saturation
% 9.99/2.26 % (2304724)Time elapsed: 0.078 s
% 9.99/2.26 % (2304724)Peak memory usage: 89 MB
% 9.99/2.26 % (2304724)Instructions burned: 113 (million)
% 9.99/2.26 % (2304726)Instruction limit reached!
% 9.99/2.26 % (2304726)------------------------------
% 9.99/2.26 % (2304726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304726)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304726)Termination reason: Instruction limit
% 9.99/2.26 % (2304726)Termination phase: Saturation
% 9.99/2.26 % (2304726)Time elapsed: 0.060 s
% 9.99/2.26 % (2304726)Peak memory usage: 88 MB
% 9.99/2.26 % (2304726)Instructions burned: 128 (million)
% 9.99/2.26 % (2304728)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2509185366:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.99/2.26 % (2304730)lrs+10_1_sil=8000:sp=occurrence:random_seed=1699382620:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.99/2.26 % (2304728)Instruction limit reached!
% 9.99/2.26 % (2304728)------------------------------
% 9.99/2.26 % (2304728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304728)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304728)Termination reason: Instruction limit
% 9.99/2.26 % (2304728)Termination phase: Saturation
% 9.99/2.26 % (2304728)Time elapsed: 0.067 s
% 9.99/2.26 % (2304728)Peak memory usage: 89 MB
% 9.99/2.26 % (2304728)Instructions burned: 115 (million)
% 9.99/2.26 % (2304731)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1714432846:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.99/2.26 % (2304731)Refutation not found, incomplete strategy
% 9.99/2.26 % (2304731)------------------------------
% 9.99/2.26 % (2304731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.99/2.26 % (2304731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/2.26 % (2304731)CaDiCaL version: 2.1.3
% 9.99/2.26 % (2304731)Termination reason: Refutation not found, incomplete strategy
% 9.99/2.26 % (2304731)Time elapsed: 0.006 s
% 9.99/2.26 % (2304731)Peak memory usage: 89 MB
% 9.99/2.26 % (2304731)Instructions burned: 6 (million)
% 9.99/2.26 % (2304734)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=843569323:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.99/2.26 % (2304699)First to succeed.
% 9.99/2.26 % (2304699)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2304694"
% 9.99/2.26 % (2304731)------------------------------
% 9.99/2.26 % (2304731)------------------------------
% 9.99/2.26 % (2304737)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2465134783:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 9.99/2.26 % (2304699)Refutation found. Thanks to Tanya!
% 9.99/2.26 % SZS status Theorem for theBenchmark
% 9.99/2.26 % SZS output start Proof for theBenchmark
% See solution above
% 10.74/2.45 % (2304699)------------------------------
% 10.74/2.45 % (2304699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.74/2.45 % (2304699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.74/2.45 % (2304699)CaDiCaL version: 2.1.3
% 10.74/2.45 % (2304699)Termination reason: Refutation
% 10.74/2.45 % (2304699)Time elapsed: 1.031 s
% 10.74/2.45 % (2304699)Peak memory usage: 135 MB
% 10.74/2.45 % (2304699)Instructions burned: 1554 (million)
% 10.74/2.45 % (2304699)------------------------------
% 10.74/2.45 % (2304699)------------------------------
% 10.74/2.45 % (2304694)Success in time 1.44 s
% 10.74/2.45 % Vampire exiting
%------------------------------------------------------------------------------