%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU434+1 : 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 : n017.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 12:49:01 PM UTC 2026
% Result : Theorem 61.74s 18.82s
% Output : Refutation 126.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 166 ( 18 unt; 7 def)
% Number of atoms : 592 ( 70 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 763 ( 337 ~; 346 |; 54 &)
% ( 16 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-5 aty)
% Number of variables : 293 ( 0 sgn 269 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
=> k9_relat_1(k5_setfam_1(k2_zfmisc_1(X0,X1),X3),X2) = k3_tarski(a_4_3_relset_2(X0,X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_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(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
=> k9_relat_1(k5_setfam_1(k2_zfmisc_1(X0,X1),X3),X2) = k3_tarski(a_4_3_relset_2(X0,X1,X2,X3)) ) ),
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/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f6,axiom,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f8,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f10,axiom,
! [X0,X1] :
( X1 = k3_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f11,axiom,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f19,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f30,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
=> ( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& X0 = k9_relat_1(X5,X3)
& r2_hidden(X5,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_4_3_relset_2) ).
fof(f36,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> k5_setfam_1(X0,X1) = k3_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f42,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f50,plain,
? [X0,X1,X2] :
( ? [X3] :
( k9_relat_1(k5_setfam_1(k2_zfmisc_1(X0,X1),X3),X2) != k3_tarski(a_4_3_relset_2(X0,X1,X2,X3))
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f53,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(f54,plain,
! [X0] :
( ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) ) ) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f56,plain,
! [X0,X1] :
( m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f19]) ).
fof(f59,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& X0 = k9_relat_1(X5,X3)
& r2_hidden(X5,X4) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(ennf_transformation,[],[f30]) ).
fof(f60,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& X0 = k9_relat_1(X5,X3)
& r2_hidden(X5,X4) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(flattening,[],[f59]) ).
fof(f62,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f36]) ).
fof(f67,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f68,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f67]) ).
fof(f73,plain,
( k9_relat_1(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2) != k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))
& m1_subset_1(sK3,k1_zfmisc_1(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]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f50]) ).
fof(f76,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) )
& ( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) ) )
& ( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(nnf_transformation,[],[f54]) ).
fof(f77,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) )
& ( ? [X5] :
( r2_hidden(k4_tarski(X5,X3),X0)
& r2_hidden(X5,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1) ) )
& ( ? [X8] :
( r2_hidden(k4_tarski(X8,X6),X0)
& r2_hidden(X8,X1) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,sK4(X0,X1,X2)),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(sK4(X0,X1,X2),X2) )
& ( ( r2_hidden(k4_tarski(sK5(X0,X1,X2),sK4(X0,X1,X2)),X0)
& r2_hidden(sK5(X0,X1,X2),X1) )
| r2_hidden(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1) ) )
& ( ( r2_hidden(k4_tarski(sK6(X0,X1,X6),X6),X0)
& r2_hidden(sK6(X0,X1,X6),X1) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X5,sK5(X0,X1,X2)),skolemize(X8,sK6(X0,X1,X6))],[f77]) ).
fof(f82,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) )
& ( ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) ) )
& ( ? [X3] :
( r2_hidden(X2,X3)
& r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f83,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X2,X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(X2,X1) )
& ( ? [X4] :
( r2_hidden(X2,X4)
& r2_hidden(X4,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ? [X7] :
( r2_hidden(X5,X7)
& r2_hidden(X7,X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ( ( ! [X3] :
( ~ r2_hidden(sK8(X0,X1),X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(sK8(X0,X1),X1) )
& ( ( r2_hidden(sK8(X0,X1),sK9(X0,X1))
& r2_hidden(sK9(X0,X1),X0) )
| r2_hidden(sK8(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ( r2_hidden(X5,sK10(X0,X5))
& r2_hidden(sK10(X0,X5),X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X2,sK8(X0,X1)),skolemize(X4,sK9(X0,X1)),skolemize(X7,sK10(X0,X5))],[f83]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relat_1(X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& X0 = k9_relat_1(X5,X3)
& r2_hidden(X5,X4) )
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4)) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(nnf_transformation,[],[f60]) ).
fof(f87,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relat_1(X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& k9_relat_1(X6,X3) = X0
& r2_hidden(X6,X4) )
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4)) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(rectify,[],[f86]) ).
fof(f88,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relat_1(X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ( m1_subset_1(sK12(X0,X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& k9_relat_1(sK12(X0,X1,X2,X3,X4),X3) = X0
& r2_hidden(sK12(X0,X1,X2,X3,X4),X4) )
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4)) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X6,sK12(X0,X1,X2,X3,X4))],[f87]) ).
fof(f97,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f73]) ).
fof(f98,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))),
inference(cnf_transformation,[],[f73]) ).
fof(f99,plain,
k9_relat_1(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2) != k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)),
inference(cnf_transformation,[],[f73]) ).
fof(f102,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f53]) ).
fof(f103,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_tarski(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f107,plain,
! [X2,X0,X1,X6] :
( r2_hidden(sK6(X0,X1,X6),X1)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f108,plain,
! [X2,X0,X1,X6] :
( r2_hidden(k4_tarski(sK6(X0,X1,X6),X6),X0)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f109,plain,
! [X2,X0,X1,X6,X7] :
( r2_hidden(X6,X2)
| ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f110,plain,
! [X2,X0,X1] :
( k9_relat_1(X0,X1) = X2
| r2_hidden(sK5(X0,X1,X2),X1)
| r2_hidden(sK4(X0,X1,X2),X2)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f111,plain,
! [X2,X0,X1] :
( k9_relat_1(X0,X1) = X2
| r2_hidden(k4_tarski(sK5(X0,X1,X2),sK4(X0,X1,X2)),X0)
| r2_hidden(sK4(X0,X1,X2),X2)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f112,plain,
! [X2,X0,X1,X4] :
( k9_relat_1(X0,X1) = X2
| ~ r2_hidden(k4_tarski(X4,sK4(X0,X1,X2)),X0)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(sK4(X0,X1,X2),X2)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f116,plain,
! [X0,X1,X5] :
( r2_hidden(sK10(X0,X5),X0)
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f117,plain,
! [X0,X1,X5] :
( r2_hidden(X5,sK10(X0,X5))
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f118,plain,
! [X0,X1,X6,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f122,plain,
! [X0,X1] : k4_tarski(X0,X1) = k2_tarski(k2_tarski(X0,X1),k1_tarski(X0)),
inference(cnf_transformation,[],[f11]) ).
fof(f123,plain,
! [X0,X1] :
( m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f56]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK12(X0,X1,X2,X3,X4),X4)
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(cnf_transformation,[],[f88]) ).
fof(f135,plain,
! [X2,X3,X0,X1,X4] :
( k9_relat_1(sK12(X0,X1,X2,X3,X4),X3) = X0
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(cnf_transformation,[],[f88]) ).
fof(f136,plain,
! [X2,X3,X0,X1,X4] :
( m1_subset_1(sK12(X0,X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(cnf_transformation,[],[f88]) ).
fof(f137,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relat_1(X5,X3) != X0
| ~ r2_hidden(X5,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(cnf_transformation,[],[f88]) ).
fof(f147,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f62]) ).
fof(f155,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f160,plain,
! [X2,X0,X1,X4] :
( k9_relat_1(X0,X1) = X2
| ~ r2_hidden(k2_tarski(k2_tarski(X4,sK4(X0,X1,X2)),k1_tarski(X4)),X0)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(sK4(X0,X1,X2),X2)
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f112,f122]) ).
fof(f161,plain,
! [X2,X0,X1] :
( k9_relat_1(X0,X1) = X2
| r2_hidden(k2_tarski(k2_tarski(sK5(X0,X1,X2),sK4(X0,X1,X2)),k1_tarski(sK5(X0,X1,X2))),X0)
| r2_hidden(sK4(X0,X1,X2),X2)
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f111,f122]) ).
fof(f162,plain,
! [X2,X0,X1,X6,X7] :
( r2_hidden(X6,X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k1_tarski(X7)),X0)
| ~ r2_hidden(X7,X1)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f109,f122]) ).
fof(f163,plain,
! [X2,X0,X1,X6] :
( r2_hidden(k2_tarski(k2_tarski(sK6(X0,X1,X6),X6),k1_tarski(sK6(X0,X1,X6))),X0)
| ~ r2_hidden(X6,X2)
| k9_relat_1(X0,X1) != X2
| ~ v1_relat_1(X0) ),
inference(definition_unfolding,[],[f108,f122]) ).
fof(f166,plain,
! [X0,X1,X6,X7] :
( r2_hidden(X6,k9_relat_1(X0,X1))
| ~ r2_hidden(k2_tarski(k2_tarski(X7,X6),k1_tarski(X7)),X0)
| ~ r2_hidden(X7,X1)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f162]) ).
fof(f167,plain,
! [X0,X1,X6] :
( r2_hidden(k2_tarski(k2_tarski(sK6(X0,X1,X6),X6),k1_tarski(sK6(X0,X1,X6))),X0)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f163]) ).
fof(f168,plain,
! [X0,X1,X6] :
( r2_hidden(sK6(X0,X1,X6),X1)
| ~ r2_hidden(X6,k9_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f107]) ).
fof(f169,plain,
! [X0,X6,X5] :
( r2_hidden(X5,k3_tarski(X0))
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ),
inference(equality_resolution,[],[f118]) ).
fof(f170,plain,
! [X0,X5] :
( r2_hidden(X5,sK10(X0,X5))
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f117]) ).
fof(f171,plain,
! [X0,X5] :
( r2_hidden(sK10(X0,X5),X0)
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f116]) ).
fof(f172,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k9_relat_1(X5,X3),a_4_3_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ r2_hidden(X5,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(equality_resolution,[],[f137]) ).
fof(f176,plain,
! [X0,X1] :
( r2_hidden(k9_relat_1(X0,X1),a_4_3_relset_2(sK0,sK1,X1,sK3))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ r2_hidden(X0,sK3)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0)) ),
inference(resolution,[],[f98,f172]) ).
fof(f177,plain,
k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3) = k3_tarski(sK3),
inference(resolution,[],[f98,f147]) ).
fof(f183,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ r2_hidden(X0,sK3) ),
inference(resolution,[],[f98,f155]) ).
fof(f189,plain,
! [X0,X1] :
( r2_hidden(k9_relat_1(X0,X1),a_4_3_relset_2(sK0,sK1,X1,sK3))
| ~ r2_hidden(X0,sK3)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0)) ),
inference(forward_subsumption_resolution,[],[f176,f183]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,a_4_3_relset_2(sK0,X1,sK2,X2))
| k9_relat_1(sK12(X0,sK0,X1,sK2,X2),sK2) = X0
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,X1)))) ),
inference(resolution,[],[f97,f135]) ).
fof(f207,plain,
( m1_subset_1(k3_tarski(sK3),k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))) ),
inference(superposition,[],[f123,f177]) ).
fof(f208,plain,
m1_subset_1(k3_tarski(sK3),k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(forward_subsumption_resolution,[],[f207,f98]) ).
fof(f210,plain,
v1_relat_1(k3_tarski(sK3)),
inference(resolution,[],[f208,f102]) ).
fof(f231,plain,
k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != k9_relat_1(k3_tarski(sK3),sK2),
inference(superposition,[],[f99,f177]) ).
fof(f234,plain,
! [X0] :
( k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0
| r2_hidden(k2_tarski(k2_tarski(sK5(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2,X0),sK4(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2,X0)),k1_tarski(sK5(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2,X0))),k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3))
| r2_hidden(sK4(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2,X0),X0)
| ~ v1_relat_1(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3)) ),
inference(superposition,[],[f99,f161]) ).
fof(f235,plain,
! [X0,X1] :
( k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0
| ~ r2_hidden(k2_tarski(k2_tarski(X1,sK4(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2,X0)),k1_tarski(X1)),k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3))
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(sK4(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2,X0),X0)
| ~ v1_relat_1(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3)) ),
inference(superposition,[],[f99,f160]) ).
fof(f236,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(k2_tarski(X1,sK4(k3_tarski(sK3),sK2,X0)),k1_tarski(X1)),k3_tarski(sK3))
| k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(sK4(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2,X0),X0)
| ~ v1_relat_1(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3)) ),
inference(forward_demodulation,[],[f235,f177]) ).
fof(f237,plain,
! [X0] :
( r2_hidden(k2_tarski(k2_tarski(sK5(k3_tarski(sK3),sK2,X0),sK4(k3_tarski(sK3),sK2,X0)),k1_tarski(sK5(k3_tarski(sK3),sK2,X0))),k3_tarski(sK3))
| k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0
| r2_hidden(sK4(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2,X0),X0)
| ~ v1_relat_1(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3)) ),
inference(forward_demodulation,[],[f234,f177]) ).
fof(f240,plain,
! [X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,sK4(k3_tarski(sK3),sK2,X0))),k3_tarski(sK3))
| k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0
| ~ r2_hidden(X1,sK2)
| ~ r2_hidden(sK4(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2,X0),X0)
| ~ v1_relat_1(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3)) ),
inference(forward_demodulation,[],[f236,f103]) ).
fof(f241,plain,
! [X0] :
( r2_hidden(k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,X0)),k2_tarski(sK5(k3_tarski(sK3),sK2,X0),sK4(k3_tarski(sK3),sK2,X0))),k3_tarski(sK3))
| k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0
| r2_hidden(sK4(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2,X0),X0)
| ~ v1_relat_1(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3)) ),
inference(forward_demodulation,[],[f237,f103]) ).
fof(f243,plain,
! [X0,X1] :
( ~ r2_hidden(sK4(k3_tarski(sK3),sK2,X0),X0)
| ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,sK4(k3_tarski(sK3),sK2,X0))),k3_tarski(sK3))
| k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0
| ~ r2_hidden(X1,sK2)
| ~ v1_relat_1(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3)) ),
inference(forward_demodulation,[],[f240,f177]) ).
fof(f244,plain,
! [X0] :
( r2_hidden(k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,X0)),k2_tarski(sK4(k3_tarski(sK3),sK2,X0),sK5(k3_tarski(sK3),sK2,X0))),k3_tarski(sK3))
| k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0
| r2_hidden(sK4(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3),sK2,X0),X0)
| ~ v1_relat_1(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3)) ),
inference(forward_demodulation,[],[f241,f103]) ).
fof(f246,plain,
! [X0,X1] :
( ~ v1_relat_1(k3_tarski(sK3))
| ~ r2_hidden(sK4(k3_tarski(sK3),sK2,X0),X0)
| ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,sK4(k3_tarski(sK3),sK2,X0))),k3_tarski(sK3))
| k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0
| ~ r2_hidden(X1,sK2) ),
inference(forward_demodulation,[],[f243,f177]) ).
fof(f247,plain,
! [X0] :
( r2_hidden(sK4(k3_tarski(sK3),sK2,X0),X0)
| r2_hidden(k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,X0)),k2_tarski(sK4(k3_tarski(sK3),sK2,X0),sK5(k3_tarski(sK3),sK2,X0))),k3_tarski(sK3))
| k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0
| ~ v1_relat_1(k5_setfam_1(k2_zfmisc_1(sK0,sK1),sK3)) ),
inference(forward_demodulation,[],[f244,f177]) ).
fof(f249,plain,
! [X0,X1] :
( k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0
| ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,sK4(k3_tarski(sK3),sK2,X0))),k3_tarski(sK3))
| ~ r2_hidden(sK4(k3_tarski(sK3),sK2,X0),X0)
| ~ r2_hidden(X1,sK2) ),
inference(forward_subsumption_resolution,[],[f246,f210]) ).
fof(f250,plain,
! [X0] :
( ~ v1_relat_1(k3_tarski(sK3))
| r2_hidden(sK4(k3_tarski(sK3),sK2,X0),X0)
| r2_hidden(k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,X0)),k2_tarski(sK4(k3_tarski(sK3),sK2,X0),sK5(k3_tarski(sK3),sK2,X0))),k3_tarski(sK3))
| k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0 ),
inference(forward_demodulation,[],[f247,f177]) ).
fof(f251,plain,
! [X0] :
( k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) != X0
| r2_hidden(k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,X0)),k2_tarski(sK4(k3_tarski(sK3),sK2,X0),sK5(k3_tarski(sK3),sK2,X0))),k3_tarski(sK3))
| r2_hidden(sK4(k3_tarski(sK3),sK2,X0),X0) ),
inference(forward_subsumption_resolution,[],[f250,f210]) ).
fof(f255,plain,
! [X0] :
( ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))))),k3_tarski(sK3))
| ~ r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))
| ~ r2_hidden(X0,sK2) ),
inference(equality_resolution,[],[f249]) ).
fof(f257,definition,
( spl19_5
<=> r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f258,plain,
( ~ r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))
| spl19_5 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,definition,
( spl19_6
<=> ! [X0] :
( ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))))),k3_tarski(sK3))
| ~ r2_hidden(X0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl19_6])],[avatar_definition]) ).
fof(f261,plain,
( ! [X0] :
( ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(X0,sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))))),k3_tarski(sK3))
| ~ r2_hidden(X0,sK2) )
| ~ spl19_6 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( ~ spl19_5
| spl19_6 ),
inference(avatar_split_clause,[],[f255,f260,f257]) ).
fof(f263,plain,
( k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)) = k9_relat_1(k3_tarski(sK3),sK2)
| r2_hidden(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK2)
| ~ v1_relat_1(k3_tarski(sK3))
| spl19_5 ),
inference(resolution,[],[f258,f110]) ).
fof(f282,plain,
( r2_hidden(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK2)
| ~ v1_relat_1(k3_tarski(sK3))
| spl19_5 ),
inference(forward_subsumption_resolution,[],[f263,f231]) ).
fof(f284,plain,
( r2_hidden(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK2)
| spl19_5 ),
inference(forward_subsumption_resolution,[],[f282,f210]) ).
fof(f435,plain,
( ! [X0] :
( ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),X0)),k3_tarski(sK3))
| ~ r2_hidden(X0,sK2) )
| ~ spl19_6 ),
inference(superposition,[],[f261,f103]) ).
fof(f624,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k9_relat_1(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0))
| r2_hidden(X2,k3_tarski(a_4_3_relset_2(sK0,sK1,X1,sK3)))
| ~ r2_hidden(X0,sK3) ),
inference(resolution,[],[f189,f169]) ).
fof(f701,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))))),k3_tarski(sK3))
| r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))) ),
inference(equality_resolution,[],[f251]) ).
fof(f951,plain,
! [X0] :
( ~ r2_hidden(X0,sK3)
| v1_relat_1(X0) ),
inference(resolution,[],[f183,f102]) ).
fof(f1096,plain,
( r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f1098,definition,
( spl19_21
<=> r2_hidden(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK2) ),
introduced(definition,[new_symbols(definition,[spl19_21])],[avatar_definition]) ).
fof(f1099,plain,
( r2_hidden(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK2)
| ~ spl19_21 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1113,definition,
( spl19_25
<=> r2_hidden(k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))))),k3_tarski(sK3)) ),
introduced(definition,[new_symbols(definition,[spl19_25])],[avatar_definition]) ).
fof(f1114,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))))),k3_tarski(sK3))
| ~ spl19_25 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f1115,plain,
( spl19_5
| spl19_25 ),
inference(avatar_split_clause,[],[f701,f1113,f257]) ).
fof(f1116,plain,
( r2_hidden(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),a_4_3_relset_2(sK0,sK1,sK2,sK3))
| ~ spl19_5 ),
inference(resolution,[],[f1096,f171]) ).
fof(f1145,plain,
( sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))) = k9_relat_1(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))))
| ~ spl19_5 ),
inference(resolution,[],[f1116,f191]) ).
fof(f1148,plain,
( m1_subset_1(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))))
| ~ spl19_5 ),
inference(resolution,[],[f1116,f136]) ).
fof(f1171,plain,
( m1_subset_1(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))))
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f1148,f97]) ).
fof(f1174,plain,
( sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))) = k9_relat_1(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2)
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f1145,f98]) ).
fof(f1176,plain,
( m1_subset_1(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f1171,f98]) ).
fof(f1255,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))
| r2_hidden(k2_tarski(k2_tarski(sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0),X0),k1_tarski(sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0))),sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3))
| ~ v1_relat_1(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3)) )
| ~ spl19_5 ),
inference(superposition,[],[f167,f1174]) ).
fof(f1256,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))
| r2_hidden(sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0),sK2)
| ~ v1_relat_1(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3)) )
| ~ spl19_5 ),
inference(superposition,[],[f168,f1174]) ).
fof(f1263,definition,
( spl19_26
<=> v1_relat_1(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl19_26])],[avatar_definition]) ).
fof(f1264,plain,
( ~ v1_relat_1(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3))
| spl19_26 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f1266,definition,
( spl19_27
<=> ! [X0] :
( ~ r2_hidden(X0,sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))
| r2_hidden(sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0),sK2) ) ),
introduced(definition,[new_symbols(definition,[spl19_27])],[avatar_definition]) ).
fof(f1267,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))
| r2_hidden(sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0),sK2) )
| ~ spl19_27 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f1268,plain,
( ~ spl19_26
| spl19_27
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f1256,f257,f1266,f1263]) ).
fof(f1269,plain,
( ! [X0] :
( r2_hidden(k2_tarski(k1_tarski(sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0)),k2_tarski(sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0),X0)),sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3))
| ~ r2_hidden(X0,sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))
| ~ v1_relat_1(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3)) )
| ~ spl19_5 ),
inference(forward_demodulation,[],[f1255,f103]) ).
fof(f1280,plain,
( ! [X0] :
( r2_hidden(k2_tarski(k1_tarski(sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0)),k2_tarski(X0,sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0))),sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3))
| ~ r2_hidden(X0,sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))
| ~ v1_relat_1(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3)) )
| ~ spl19_5 ),
inference(forward_demodulation,[],[f1269,f103]) ).
fof(f1293,definition,
( spl19_31
<=> ! [X0] :
( r2_hidden(k2_tarski(k1_tarski(sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0)),k2_tarski(X0,sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0))),sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3))
| ~ r2_hidden(X0,sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))))) ) ),
introduced(definition,[new_symbols(definition,[spl19_31])],[avatar_definition]) ).
fof(f1294,plain,
( ! [X0] :
( r2_hidden(k2_tarski(k1_tarski(sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0)),k2_tarski(X0,sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,X0))),sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3))
| ~ r2_hidden(X0,sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))))) )
| ~ spl19_31 ),
inference(avatar_component_clause,[],[f1293]) ).
fof(f1295,plain,
( ~ spl19_26
| spl19_31
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f1280,f257,f1293,f1263]) ).
fof(f1336,plain,
( v1_relat_1(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3))
| ~ spl19_5 ),
inference(resolution,[],[f1176,f102]) ).
fof(f1353,plain,
( $false
| ~ spl19_5
| spl19_26 ),
inference(forward_subsumption_resolution,[],[f1336,f1264]) ).
fof(f1354,plain,
( ~ spl19_5
| spl19_26 ),
inference(avatar_contradiction_clause,[],[f1353]) ).
fof(f1355,plain,
( spl19_21
| spl19_5 ),
inference(avatar_split_clause,[],[f284,f257,f1098]) ).
fof(f1371,plain,
( ! [X0,X1] :
( r2_hidden(X0,k9_relat_1(X1,sK2))
| ~ r2_hidden(k2_tarski(k2_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),X0),k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))))),X1)
| ~ v1_relat_1(X1) )
| ~ spl19_21 ),
inference(resolution,[],[f1099,f166]) ).
fof(f1382,plain,
( ! [X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),X0)),X1)
| r2_hidden(X0,k9_relat_1(X1,sK2))
| ~ v1_relat_1(X1) )
| ~ spl19_21 ),
inference(forward_demodulation,[],[f1371,f103]) ).
fof(f1384,plain,
( r2_hidden(sK10(sK3,k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))),sK3)
| ~ spl19_25 ),
inference(resolution,[],[f1114,f171]) ).
fof(f1515,plain,
( ! [X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(X0,sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))))),X1)
| r2_hidden(X0,k9_relat_1(X1,sK2))
| ~ v1_relat_1(X1) )
| ~ spl19_21 ),
inference(superposition,[],[f1382,f103]) ).
fof(f1926,plain,
( v1_relat_1(sK10(sK3,k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))))
| ~ spl19_25 ),
inference(resolution,[],[f951,f1384]) ).
fof(f2647,plain,
( r2_hidden(sK10(sK3,k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))),sK3)
| ~ spl19_25 ),
inference(resolution,[],[f1114,f171]) ).
fof(f2648,plain,
( r2_hidden(k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))))),sK10(sK3,k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))))
| ~ spl19_25 ),
inference(resolution,[],[f1114,f170]) ).
fof(f2673,plain,
( r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),k9_relat_1(sK10(sK3,k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))),sK2))
| ~ v1_relat_1(sK10(sK3,k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))))
| ~ spl19_21
| ~ spl19_25 ),
inference(resolution,[],[f2648,f1515]) ).
fof(f2695,plain,
( r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),k9_relat_1(sK10(sK3,k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))),sK2))
| ~ spl19_21
| ~ spl19_25 ),
inference(forward_subsumption_resolution,[],[f2673,f1926]) ).
fof(f2981,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))
| ~ r2_hidden(sK10(sK3,k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))),sK3)
| ~ spl19_21
| ~ spl19_25 ),
inference(resolution,[],[f2695,f624]) ).
fof(f3014,plain,
( r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))
| ~ r2_hidden(sK10(sK3,k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))),sK3)
| ~ spl19_21
| ~ spl19_25 ),
inference(forward_subsumption_resolution,[],[f2981,f97]) ).
fof(f3018,plain,
( ~ r2_hidden(sK10(sK3,k2_tarski(k1_tarski(sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK5(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))),sK3)
| spl19_5
| ~ spl19_21
| ~ spl19_25 ),
inference(forward_subsumption_resolution,[],[f3014,f258]) ).
fof(f3021,plain,
( $false
| spl19_5
| ~ spl19_21
| ~ spl19_25 ),
inference(forward_subsumption_resolution,[],[f3018,f2647]) ).
fof(f3022,plain,
( spl19_5
| ~ spl19_21
| ~ spl19_25 ),
inference(avatar_contradiction_clause,[],[f3021]) ).
fof(f3041,plain,
( r2_hidden(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),a_4_3_relset_2(sK0,sK1,sK2,sK3))
| ~ spl19_5 ),
inference(resolution,[],[f1096,f171]) ).
fof(f3042,plain,
( r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))
| ~ spl19_5 ),
inference(resolution,[],[f1096,f170]) ).
fof(f3074,plain,
( r2_hidden(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK3)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))))
| ~ spl19_5 ),
inference(resolution,[],[f3041,f134]) ).
fof(f3100,plain,
( r2_hidden(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))))
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f3074,f97]) ).
fof(f3105,plain,
( r2_hidden(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK3)
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f3100,f98]) ).
fof(f3197,plain,
( ! [X0,X1] :
( ~ r2_hidden(k2_tarski(k1_tarski(X0),k2_tarski(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),X0)),X1)
| ~ r2_hidden(X0,sK2)
| ~ r2_hidden(X1,sK3) )
| ~ spl19_6 ),
inference(resolution,[],[f435,f169]) ).
fof(f3333,plain,
( ~ r2_hidden(sK6(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK2,sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK2)
| ~ r2_hidden(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK3)
| ~ r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))
| ~ spl19_6
| ~ spl19_31 ),
inference(resolution,[],[f3197,f1294]) ).
fof(f3348,plain,
( ~ r2_hidden(sK12(sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))),sK0,sK1,sK2,sK3),sK3)
| ~ r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))
| ~ spl19_6
| ~ spl19_27
| ~ spl19_31 ),
inference(forward_subsumption_resolution,[],[f3333,f1267]) ).
fof(f3349,plain,
( ~ r2_hidden(sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3))),sK10(a_4_3_relset_2(sK0,sK1,sK2,sK3),sK4(k3_tarski(sK3),sK2,k3_tarski(a_4_3_relset_2(sK0,sK1,sK2,sK3)))))
| ~ spl19_5
| ~ spl19_6
| ~ spl19_27
| ~ spl19_31 ),
inference(forward_subsumption_resolution,[],[f3348,f3105]) ).
fof(f3350,plain,
( $false
| ~ spl19_5
| ~ spl19_6
| ~ spl19_27
| ~ spl19_31 ),
inference(forward_subsumption_resolution,[],[f3349,f3042]) ).
fof(f3351,plain,
( ~ spl19_5
| ~ spl19_6
| ~ spl19_27
| ~ spl19_31 ),
inference(avatar_contradiction_clause,[],[f3350]) ).
cnf(s3,plain,
( ~ spl19_5
| spl19_6 ),
inference(sat_conversion,[],[f262]) ).
cnf(s16,plain,
( spl19_5
| spl19_25 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s18,plain,
( ~ spl19_5
| ~ spl19_26
| spl19_27 ),
inference(sat_conversion,[],[f1268]) ).
cnf(s24,plain,
( ~ spl19_5
| ~ spl19_26
| spl19_31 ),
inference(sat_conversion,[],[f1295]) ).
cnf(s29,plain,
( ~ spl19_5
| spl19_26 ),
inference(sat_conversion,[],[f1354]) ).
cnf(s30,plain,
( spl19_5
| spl19_21 ),
inference(sat_conversion,[],[f1355]) ).
cnf(s59,plain,
( spl19_5
| ~ spl19_21
| ~ spl19_25 ),
inference(sat_conversion,[],[f3022]) ).
cnf(s65,plain,
( ~ spl19_5
| ~ spl19_6
| ~ spl19_27
| ~ spl19_31 ),
inference(sat_conversion,[],[f3351]) ).
cnf(s66,plain,
spl19_5,
inference(rat,[],[s59,s16,s30]) ).
cnf(s70,plain,
spl19_26,
inference(rat,[],[s29,s66]) ).
cnf(s75,plain,
spl19_6,
inference(rat,[],[s3,s66]) ).
cnf(s77,plain,
spl19_31,
inference(rat,[],[s24,s66,s70]) ).
cnf(s81,plain,
spl19_27,
inference(rat,[],[s18,s66,s70]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s65,s77,s66,s81,s75]) ).
fof(f3352,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU434+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n017.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 28 05:21:50 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.45 Running first-order theorem proving
% 0.14/0.45 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
% 20.11/4.03 % (3232293)Detected formulas, will run a generic FOF schedule.
% 20.11/4.03 % (3232301)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=407873392:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 20.11/4.03 % (3232300)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=2087016491:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 20.11/4.03 % (3232305)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3479877922:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 20.11/4.03 % (3232304)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1866711419:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 20.11/4.03 % (3232306)dis-21_1_sil=8000:lcm=predicate:random_seed=4109734782: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)
% 20.11/4.03 % (3232303)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2905920502:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 20.11/4.03 % (3232302)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=2960539169:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 20.11/4.03 % (3232303)Refutation not found, incomplete strategy
% 20.11/4.03 % (3232303)------------------------------
% 20.11/4.03 % (3232303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.11/4.03 % (3232303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.11/4.03 % (3232303)CaDiCaL version: 2.1.3
% 20.11/4.03 % (3232303)Termination reason: Refutation not found, incomplete strategy
% 20.11/4.03 % (3232303)Time elapsed: 0.006 s
% 20.11/4.03 % (3232303)Peak memory usage: 88 MB
% 20.11/4.03 % (3232303)Instructions burned: 3 (million)
% 20.11/4.03 % (3232304)Instruction limit reached!
% 20.11/4.03 % (3232304)------------------------------
% 20.11/4.03 % (3232304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.11/4.03 % (3232304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.11/4.03 % (3232304)CaDiCaL version: 2.1.3
% 20.11/4.03 % (3232304)Termination reason: Instruction limit
% 20.11/4.03 % (3232304)Termination phase: Saturation
% 20.11/4.03 % (3232304)Time elapsed: 0.108 s
% 20.11/4.03 % (3232304)Peak memory usage: 88 MB
% 20.11/4.03 % (3232304)Instructions burned: 119 (million)
% 20.11/4.03 % (3232306)Instruction limit reached!
% 20.11/4.03 % (3232306)------------------------------
% 20.11/4.03 % (3232306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.11/4.03 % (3232306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.11/4.03 % (3232306)CaDiCaL version: 2.1.3
% 20.11/4.03 % (3232306)Termination reason: Instruction limit
% 20.11/4.03 % (3232306)Termination phase: Saturation
% 20.11/4.03 % (3232306)Time elapsed: 0.122 s
% 20.11/4.03 % (3232306)Peak memory usage: 89 MB
% 20.11/4.03 % (3232306)Instructions burned: 129 (million)
% 20.11/4.03 % (3232305)Instruction limit reached!
% 20.11/4.03 % (3232305)------------------------------
% 20.11/4.03 % (3232305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.11/4.03 % (3232305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.11/4.03 % (3232305)CaDiCaL version: 2.1.3
% 20.11/4.03 % (3232305)Termination reason: Instruction limit
% 20.11/4.03 % (3232305)Termination phase: Saturation
% 20.11/4.03 % (3232305)Time elapsed: 0.148 s
% 20.11/4.03 % (3232305)Peak memory usage: 90 MB
% 20.11/4.03 % (3232305)Instructions burned: 139 (million)
% 20.11/4.03 % (3232314)lrs+10_1_sil=8000:sp=occurrence:random_seed=141205052:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 20.11/4.03 % (3232303)------------------------------
% 20.11/4.03 % (3232303)------------------------------
% 20.11/4.03 % (3232315)lrs+10_1_sil=32000:urr=on:br=off:random_seed=718985232:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 20.11/4.03 % (3232316)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3318576028:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 20.11/4.03 % (3232315)Instruction limit reached!
% 20.11/4.03 % (3232315)------------------------------
% 20.11/4.03 % (3232315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.84/5.48 % (3232315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.84/5.48 % (3232315)CaDiCaL version: 2.1.3
% 30.84/5.48 % (3232315)Termination reason: Instruction limit
% 30.84/5.48 % (3232315)Termination phase: Saturation
% 30.84/5.48 % (3232315)Time elapsed: 0.131 s
% 30.84/5.48 % (3232315)Peak memory usage: 89 MB
% 30.84/5.48 % (3232315)Instructions burned: 157 (million)
% 30.84/5.48 % (3232320)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=1991641373:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 30.84/5.48 % (3232314)Instruction limit reached!
% 30.84/5.48 % (3232314)------------------------------
% 30.84/5.48 % (3232314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.84/5.48 % (3232314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.84/5.48 % (3232314)CaDiCaL version: 2.1.3
% 30.84/5.48 % (3232314)Termination reason: Instruction limit
% 30.84/5.48 % (3232314)Termination phase: Saturation
% 30.84/5.48 % (3232314)Time elapsed: 0.266 s
% 30.84/5.48 % (3232314)Peak memory usage: 92 MB
% 30.84/5.48 % (3232314)Instructions burned: 285 (million)
% 30.84/5.48 % (3232316)Instruction limit reached!
% 30.84/5.48 % (3232316)------------------------------
% 30.84/5.48 % (3232316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.84/5.48 % (3232316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.84/5.48 % (3232316)CaDiCaL version: 2.1.3
% 30.84/5.48 % (3232316)Termination reason: Instruction limit
% 30.84/5.48 % (3232316)Termination phase: Saturation
% 30.84/5.48 % (3232316)Time elapsed: 0.325 s
% 30.84/5.48 % (3232316)Peak memory usage: 92 MB
% 30.84/5.48 % (3232316)Instructions burned: 325 (million)
% 30.84/5.48 % (3232321)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3604754691:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 30.84/5.48 % (3232320)Instruction limit reached!
% 30.84/5.48 % (3232320)------------------------------
% 30.84/5.48 % (3232320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.84/5.48 % (3232320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.84/5.48 % (3232320)CaDiCaL version: 2.1.3
% 30.84/5.48 % (3232320)Termination reason: Instruction limit
% 30.84/5.48 % (3232320)Termination phase: Saturation
% 30.84/5.48 % (3232320)Time elapsed: 0.218 s
% 30.84/5.48 % (3232320)Peak memory usage: 91 MB
% 30.84/5.48 % (3232320)Instructions burned: 248 (million)
% 30.84/5.48 % (3232321)Instruction limit reached!
% 30.84/5.48 % (3232321)------------------------------
% 30.84/5.48 % (3232321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.84/5.48 % (3232321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.84/5.48 % (3232321)CaDiCaL version: 2.1.3
% 30.84/5.48 % (3232321)Termination reason: Instruction limit
% 30.84/5.48 % (3232321)Termination phase: Saturation
% 30.84/5.48 % (3232321)Time elapsed: 0.148 s
% 30.84/5.48 % (3232321)Peak memory usage: 90 MB
% 30.84/5.48 % (3232321)Instructions burned: 294 (million)
% 30.84/5.48 % (3232325)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1556480947:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 30.84/5.48 % (3232326)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=527754850:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 30.84/5.48 % (3232328)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2843551430:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 30.84/5.48 % (3232326)Instruction limit reached!
% 30.84/5.48 % (3232326)------------------------------
% 30.84/5.48 % (3232326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.84/5.48 % (3232326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.84/5.48 % (3232326)CaDiCaL version: 2.1.3
% 30.84/5.48 % (3232326)Termination reason: Instruction limit
% 30.84/5.48 % (3232326)Termination phase: Saturation
% 30.84/5.48 % (3232326)Time elapsed: 0.127 s
% 30.84/5.48 % (3232326)Peak memory usage: 90 MB
% 30.84/5.48 % (3232326)Instructions burned: 113 (million)
% 30.84/5.48 % (3232329)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1388964415:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 30.84/5.48 % (3232329)Instruction limit reached!
% 30.84/5.48 % (3232329)------------------------------
% 30.84/5.48 % (3232329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.85/13.87 % (3232329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.85/13.87 % (3232329)CaDiCaL version: 2.1.3
% 90.85/13.87 % (3232329)Termination reason: Instruction limit
% 90.85/13.87 % (3232329)Termination phase: Saturation
% 90.85/13.87 % (3232329)Time elapsed: 0.051 s
% 90.85/13.87 % (3232329)Peak memory usage: 89 MB
% 90.85/13.87 % (3232329)Instructions burned: 114 (million)
% 90.85/13.87 % (3232328)Instruction limit reached!
% 90.85/13.87 % (3232328)------------------------------
% 90.85/13.87 % (3232328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.85/13.87 % (3232328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.85/13.87 % (3232328)CaDiCaL version: 2.1.3
% 90.85/13.87 % (3232328)Termination reason: Instruction limit
% 90.85/13.87 % (3232328)Termination phase: Saturation
% 90.85/13.87 % (3232328)Time elapsed: 0.115 s
% 90.85/13.87 % (3232328)Peak memory usage: 88 MB
% 90.85/13.87 % (3232328)Instructions burned: 129 (million)
% 90.85/13.87 % (3232334)lrs+10_1_sil=8000:sp=occurrence:random_seed=3518756773:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 90.85/13.87 % (3232335)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=300746867:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 90.85/13.87 % (3232335)Refutation not found, incomplete strategy
% 90.85/13.87 % (3232335)------------------------------
% 90.85/13.87 % (3232335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.85/13.87 % (3232335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.85/13.87 % (3232335)CaDiCaL version: 2.1.3
% 90.85/13.87 % (3232335)Termination reason: Refutation not found, incomplete strategy
% 90.85/13.87 % (3232335)Time elapsed: 0.006 s
% 90.85/13.87 % (3232335)Peak memory usage: 88 MB
% 90.85/13.87 % (3232335)Instructions burned: 8 (million)
% 90.85/13.87 % (3232336)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4255137895:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 90.85/13.87 % (3232335)------------------------------
% 90.85/13.87 % (3232335)------------------------------
% 90.85/13.87 % (3232340)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=391020626:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 90.85/13.87 % (3232340)Instruction limit reached!
% 90.85/13.87 % (3232340)------------------------------
% 90.85/13.87 % (3232340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.85/13.87 % (3232340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.85/13.87 % (3232340)CaDiCaL version: 2.1.3
% 90.85/13.87 % (3232340)Termination reason: Instruction limit
% 90.85/13.87 % (3232340)Termination phase: Saturation
% 90.85/13.87 % (3232340)Time elapsed: 0.061 s
% 90.85/13.87 % (3232340)Peak memory usage: 91 MB
% 90.85/13.87 % (3232340)Instructions burned: 134 (million)
% 90.85/13.87 % (3232342)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2723895124:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 90.85/13.87 % (3232334)Instruction limit reached!
% 90.85/13.87 % (3232334)------------------------------
% 90.85/13.87 % (3232334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.85/13.87 % (3232334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.85/13.87 % (3232334)CaDiCaL version: 2.1.3
% 90.85/13.87 % (3232334)Termination reason: Instruction limit
% 90.85/13.87 % (3232334)Termination phase: Saturation
% 90.85/13.87 % (3232334)Time elapsed: 0.878 s
% 90.85/13.87 % (3232334)Peak memory usage: 98 MB
% 90.85/13.87 % (3232334)Instructions burned: 907 (million)
% 90.85/13.87 % (3232342)Instruction limit reached!
% 90.85/13.87 % (3232342)------------------------------
% 90.85/13.87 % (3232342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 90.85/13.87 % (3232342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.85/13.87 % (3232342)CaDiCaL version: 2.1.3
% 90.85/13.87 % (3232342)Termination reason: Instruction limit
% 90.85/13.87 % (3232342)Termination phase: Saturation
% 90.85/13.87 % (3232342)Time elapsed: 0.282 s
% 90.85/13.87 % (3232342)Peak memory usage: 93 MB
% 90.85/13.87 % (3232342)Instructions burned: 593 (million)
% 90.85/13.87 % (3232344)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1107089735:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 90.85/13.87 % (3232345)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=3024592970:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 117.32/17.69 % (3232345)Instruction limit reached!
% 117.32/17.69 % (3232345)------------------------------
% 117.32/17.69 % (3232345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.32/17.69 % (3232345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.32/17.69 % (3232345)CaDiCaL version: 2.1.3
% 117.32/17.69 % (3232345)Termination reason: Instruction limit
% 117.32/17.69 % (3232345)Termination phase: Saturation
% 117.32/17.69 % (3232345)Time elapsed: 0.068 s
% 117.32/17.69 % (3232345)Peak memory usage: 91 MB
% 117.32/17.69 % (3232345)Instructions burned: 126 (million)
% 117.32/17.69 % (3232348)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3896023931:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 117.32/17.69 % (3232348)Instruction limit reached!
% 117.32/17.69 % (3232348)------------------------------
% 117.32/17.69 % (3232348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.32/17.69 % (3232348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.32/17.69 % (3232348)CaDiCaL version: 2.1.3
% 117.32/17.69 % (3232348)Termination reason: Instruction limit
% 117.32/17.69 % (3232348)Termination phase: Saturation
% 117.32/17.69 % (3232348)Time elapsed: 0.079 s
% 117.32/17.69 % (3232348)Peak memory usage: 91 MB
% 117.32/17.69 % (3232348)Instructions burned: 135 (million)
% 117.32/17.69 % (3232350)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2000566181:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/141Mi)
% 117.32/17.69 % (3232350)Instruction limit reached!
% 117.32/17.69 % (3232350)------------------------------
% 117.32/17.69 % (3232350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.32/17.69 % (3232350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.32/17.69 % (3232350)CaDiCaL version: 2.1.3
% 117.32/17.69 % (3232350)Termination reason: Instruction limit
% 117.32/17.69 % (3232350)Termination phase: Saturation
% 117.32/17.69 % (3232350)Time elapsed: 0.066 s
% 117.32/17.69 % (3232350)Peak memory usage: 90 MB
% 117.32/17.69 % (3232350)Instructions burned: 142 (million)
% 117.32/17.69 % (3232325)Instruction limit reached!
% 117.32/17.69 % (3232325)------------------------------
% 117.32/17.69 % (3232325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.32/17.69 % (3232325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.32/17.69 % (3232325)CaDiCaL version: 2.1.3
% 117.32/17.69 % (3232325)Termination reason: Instruction limit
% 117.32/17.69 % (3232325)Termination phase: Saturation
% 117.32/17.69 % (3232325)Time elapsed: 2.459 s
% 117.32/17.69 % (3232325)Peak memory usage: 141 MB
% 117.32/17.69 % (3232325)Instructions burned: 2350 (million)
% 117.32/17.69 % (3232352)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3962901673:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2963 on theBenchmark for (2963ds/431Mi)
% 117.32/17.69 % (3232353)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=3811164300:i=6060:aac=none:ins=25_2963 on theBenchmark for (2963ds/6060Mi)
% 117.32/17.69 % (3232352)Instruction limit reached!
% 117.32/17.69 % (3232352)------------------------------
% 117.32/17.69 % (3232352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.32/17.69 % (3232352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.32/17.69 % (3232352)CaDiCaL version: 2.1.3
% 117.32/17.69 % (3232352)Termination reason: Instruction limit
% 117.32/17.69 % (3232352)Termination phase: Saturation
% 117.32/17.69 % (3232352)Time elapsed: 0.207 s
% 117.32/17.69 % (3232352)Peak memory usage: 92 MB
% 117.32/17.69 % (3232352)Instructions burned: 432 (million)
% 117.32/17.69 % (3232356)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1610363501:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2959 on theBenchmark for (2959ds/150Mi)
% 117.32/17.69 % (3232356)Instruction limit reached!
% 117.32/17.69 % (3232356)------------------------------
% 117.32/17.69 % (3232356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.32/17.69 % (3232356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.32/17.69 % (3232356)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232356)Termination reason: Instruction limit
% 61.74/18.82 % (3232356)Termination phase: Saturation
% 61.74/18.82 % (3232356)Time elapsed: 0.078 s
% 61.74/18.82 % (3232356)Peak memory usage: 91 MB
% 61.74/18.82 % (3232356)Instructions burned: 151 (million)
% 61.74/18.82 % (3232358)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1519805703:i=14155:bd=all_2956 on theBenchmark for (2956ds/14155Mi)
% 61.74/18.82 % (3232336)Instruction limit reached!
% 61.74/18.82 % (3232336)------------------------------
% 61.74/18.82 % (3232336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232336)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232336)Termination reason: Instruction limit
% 61.74/18.82 % (3232336)Termination phase: Saturation
% 61.74/18.82 % (3232336)Time elapsed: 5.364 s
% 61.74/18.82 % (3232336)Peak memory usage: 167 MB
% 61.74/18.82 % (3232336)Instructions burned: 5202 (million)
% 61.74/18.82 % (3232360)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3122031920:i=667:av=off:fsr=off_2928 on theBenchmark for (2928ds/667Mi)
% 61.74/18.82 % (3232360)Instruction limit reached!
% 61.74/18.82 % (3232360)------------------------------
% 61.74/18.82 % (3232360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232360)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232360)Termination reason: Instruction limit
% 61.74/18.82 % (3232360)Termination phase: Saturation
% 61.74/18.82 % (3232360)Time elapsed: 0.542 s
% 61.74/18.82 % (3232360)Peak memory usage: 105 MB
% 61.74/18.82 % (3232360)Instructions burned: 668 (million)
% 61.74/18.82 % (3232362)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3380029421:s2a=on:i=185:s2at=1.8:fdi=4_2920 on theBenchmark for (2920ds/185Mi)
% 61.74/18.82 % (3232362)Instruction limit reached!
% 61.74/18.82 % (3232362)------------------------------
% 61.74/18.82 % (3232362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232362)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232362)Termination reason: Instruction limit
% 61.74/18.82 % (3232362)Termination phase: Saturation
% 61.74/18.82 % (3232362)Time elapsed: 0.198 s
% 61.74/18.82 % (3232362)Peak memory usage: 93 MB
% 61.74/18.82 % (3232362)Instructions burned: 186 (million)
% 61.74/18.82 % (3232364)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1038251162:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2915 on theBenchmark for (2915ds/193Mi)
% 61.74/18.82 % (3232364)Instruction limit reached!
% 61.74/18.82 % (3232364)------------------------------
% 61.74/18.82 % (3232364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232364)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232364)Termination reason: Instruction limit
% 61.74/18.82 % (3232364)Termination phase: Saturation
% 61.74/18.82 % (3232364)Time elapsed: 0.202 s
% 61.74/18.82 % (3232364)Peak memory usage: 91 MB
% 61.74/18.82 % (3232364)Instructions burned: 193 (million)
% 61.74/18.82 % (3232366)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2541303192:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2911 on theBenchmark for (2911ds/4850Mi)
% 61.74/18.82 % (3232353)Instruction limit reached!
% 61.74/18.82 % (3232353)------------------------------
% 61.74/18.82 % (3232353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232353)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232353)Termination reason: Instruction limit
% 61.74/18.82 % (3232353)Termination phase: Saturation
% 61.74/18.82 % (3232353)Time elapsed: 6.399 s
% 61.74/18.82 % (3232353)Peak memory usage: 165 MB
% 61.74/18.82 % (3232353)Instructions burned: 6060 (million)
% 61.74/18.82 % (3232368)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1587581986:i=12111:sd=1:ss=included_2896 on theBenchmark for (2896ds/12111Mi)
% 61.74/18.82 % (3232358)Instruction limit reached!
% 61.74/18.82 % (3232358)------------------------------
% 61.74/18.82 % (3232358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232358)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232358)Termination reason: Instruction limit
% 61.74/18.82 % (3232358)Termination phase: Saturation
% 61.74/18.82 % (3232358)Time elapsed: 8.159 s
% 61.74/18.82 % (3232358)Peak memory usage: 226 MB
% 61.74/18.82 % (3232358)Instructions burned: 14155 (million)
% 61.74/18.82 % (3232372)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1952675826:i=319:kws=precedence:fsr=off_2872 on theBenchmark for (2872ds/319Mi)
% 61.74/18.82 % (3232372)Instruction limit reached!
% 61.74/18.82 % (3232372)------------------------------
% 61.74/18.82 % (3232372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232372)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232372)Termination reason: Instruction limit
% 61.74/18.82 % (3232372)Termination phase: Saturation
% 61.74/18.82 % (3232372)Time elapsed: 0.169 s
% 61.74/18.82 % (3232372)Peak memory usage: 92 MB
% 61.74/18.82 % (3232372)Instructions burned: 319 (million)
% 61.74/18.82 % (3232374)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2236925630:i=2064:ep=RST_2868 on theBenchmark for (2868ds/2064Mi)
% 61.74/18.82 % (3232366)Instruction limit reached!
% 61.74/18.82 % (3232366)------------------------------
% 61.74/18.82 % (3232366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232366)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232366)Termination reason: Instruction limit
% 61.74/18.82 % (3232366)Termination phase: Saturation
% 61.74/18.82 % (3232366)Time elapsed: 4.856 s
% 61.74/18.82 % (3232366)Peak memory usage: 128 MB
% 61.74/18.82 % (3232366)Instructions burned: 4850 (million)
% 61.74/18.82 % (3232376)dis-1011_128_sil=32000:random_seed=129157408:i=3706:ep=RST:av=off_2859 on theBenchmark for (2859ds/3706Mi)
% 61.74/18.82 % (3232374)Instruction limit reached!
% 61.74/18.82 % (3232374)------------------------------
% 61.74/18.82 % (3232374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232374)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232374)Termination reason: Instruction limit
% 61.74/18.82 % (3232374)Termination phase: Saturation
% 61.74/18.82 % (3232374)Time elapsed: 0.892 s
% 61.74/18.82 % (3232374)Peak memory usage: 95 MB
% 61.74/18.82 % (3232374)Instructions burned: 2066 (million)
% 61.74/18.82 % (3232378)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=117461559:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2856 on theBenchmark for (2856ds/757Mi)
% 61.74/18.82 % (3232378)Instruction limit reached!
% 61.74/18.82 % (3232378)------------------------------
% 61.74/18.82 % (3232378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232378)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232378)Termination reason: Instruction limit
% 61.74/18.82 % (3232378)Termination phase: Saturation
% 61.74/18.82 % (3232378)Time elapsed: 0.389 s
% 61.74/18.82 % (3232378)Peak memory usage: 105 MB
% 61.74/18.82 % (3232378)Instructions burned: 757 (million)
% 61.74/18.82 % (3232380)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2969699819:i=13913:ss=axioms:sgt=8_2850 on theBenchmark for (2850ds/13913Mi)
% 61.74/18.82 % (3232344)Instruction limit reached!
% 61.74/18.82 % (3232344)------------------------------
% 61.74/18.82 % (3232344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232344)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232344)Termination reason: Instruction limit
% 61.74/18.82 % (3232344)Termination phase: Saturation
% 61.74/18.82 % (3232344)Time elapsed: 13.159 s
% 61.74/18.82 % (3232344)Peak memory usage: 229 MB
% 61.74/18.82 % (3232344)Instructions burned: 13194 (million)
% 61.74/18.82 % (3232382)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2959731751:i=9925:aac=none_2840 on theBenchmark for (2840ds/9925Mi)
% 61.74/18.82 % (3232376)Instruction limit reached!
% 61.74/18.82 % (3232376)------------------------------
% 61.74/18.82 % (3232376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232376)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232376)Termination reason: Instruction limit
% 61.74/18.82 % (3232376)Termination phase: Saturation
% 61.74/18.82 % (3232376)Time elapsed: 2.293 s
% 61.74/18.82 % (3232376)Peak memory usage: 91 MB
% 61.74/18.82 % (3232376)Instructions burned: 3708 (million)
% 61.74/18.82 % (3232384)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2001778973:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2834 on theBenchmark for (2834ds/2479Mi)
% 61.74/18.82 % (3232384)Refutation not found, incomplete strategy
% 61.74/18.82 % (3232384)------------------------------
% 61.74/18.82 % (3232384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232384)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232384)Termination reason: Refutation not found, incomplete strategy
% 61.74/18.82 % (3232384)Time elapsed: 0.002 s
% 61.74/18.82 % (3232384)Peak memory usage: 89 MB
% 61.74/18.82 % (3232384)Instructions burned: 3 (million)
% 61.74/18.82 % (3232384)------------------------------
% 61.74/18.82 % (3232384)------------------------------
% 61.74/18.82 % (3232404)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=4105795675:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2831 on theBenchmark for (2831ds/440Mi)
% 61.74/18.82 % (3232404)Instruction limit reached!
% 61.74/18.82 % (3232404)------------------------------
% 61.74/18.82 % (3232404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.74/18.82 % (3232404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.74/18.82 % (3232404)CaDiCaL version: 2.1.3
% 61.74/18.82 % (3232404)Termination reason: Instruction limit
% 61.74/18.82 % (3232404)Termination phase: Saturation
% 61.74/18.82 % (3232404)Time elapsed: 0.110 s
% 61.74/18.82 % (3232404)Peak memory usage: 91 MB
% 61.74/18.82 % (3232404)Instructions burned: 443 (million)
% 61.74/18.82 % (3232482)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3407828954:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2829 on theBenchmark for (2829ds/11145Mi)
% 61.74/18.82 % (3232382)First to succeed.
% 61.74/18.82 % (3232382)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3232293"
% 61.74/18.82 % (3232382)Refutation found. Thanks to Tanya!
% 61.74/18.82 % SZS status Theorem for theBenchmark
% 61.74/18.82 % SZS output start Proof for theBenchmark
% See solution above
% 126.53/19.01 % (3232382)------------------------------
% 126.53/19.01 % (3232382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.53/19.01 % (3232382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.53/19.01 % (3232382)CaDiCaL version: 2.1.3
% 126.53/19.01 % (3232382)Termination reason: Refutation
% 126.53/19.01 % (3232382)Time elapsed: 1.240 s
% 126.53/19.01 % (3232382)Peak memory usage: 137 MB
% 126.53/19.01 % (3232382)Instructions burned: 1852 (million)
% 126.53/19.01 % (3232382)------------------------------
% 126.53/19.01 % (3232382)------------------------------
% 126.53/19.01 % (3232293)Success in time 17.715 s
% 126.53/19.01 % Vampire exiting
%------------------------------------------------------------------------------