%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU423+3 : 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 : n006.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 12:48:55 PM UTC 2026
% Result : Theorem 104.72s 23.52s
% Output : Refutation 154.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 31
% Syntax : Number of formulae : 203 ( 37 unt; 17 def)
% Number of atoms : 930 ( 74 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1268 ( 541 ~; 597 |; 83 &)
% ( 30 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 8 con; 0-5 aty)
% Number of variables : 412 ( 0 sgn 382 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f9,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(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f678,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(f849,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(f852,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k9_relat_1(X2,X1))
<=> ? [X3] :
( r2_hidden(X3,k1_relat_1(X2))
& r2_hidden(k4_tarski(X3,X0),X2)
& r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t143_relat_1) ).
fof(f1333,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(f1392,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1394,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1419,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(f19053,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(X1))
& m2_relset_1(X4,X1,X2) )
=> ( r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,X1)
& X0 = k2_relset_2(X1,X2,X4,X5)
& r2_hidden(X5,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_4_0_relset_2) ).
fof(f19078,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,X0)
=> k2_relset_2(X0,X1,X2,X3) = k10_relset_1(X0,X1,X2,k1_tarski(X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relset_2) ).
fof(f19079,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_relset_2) ).
fof(f19088,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> k10_relset_1(X0,X1,X3,X2) = k3_tarski(a_4_0_relset_2(X0,X1,X2,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_relset_2) ).
fof(f19089,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> k10_relset_1(X0,X1,X3,X2) = k3_tarski(a_4_0_relset_2(X0,X1,X2,X3)) ) ) ),
inference(negated_conjecture,[status(cth)],[f19088]) ).
fof(f19123,plain,
? [X0] :
( ? [X1,X2] :
( ? [X3] :
( k10_relset_1(X0,X1,X3,X2) != k3_tarski(a_4_0_relset_2(X0,X1,X2,X3))
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f19089]) ).
fof(f19151,plain,
! [X0,X1,X2,X3] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1419]) ).
fof(f19154,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,X1)
& X0 = k2_relset_2(X1,X2,X4,X5)
& r2_hidden(X5,X3) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(ennf_transformation,[],[f19053]) ).
fof(f19155,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,X1)
& X0 = k2_relset_2(X1,X2,X4,X5)
& r2_hidden(X5,X3) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(flattening,[],[f19154]) ).
fof(f19169,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f678]) ).
fof(f19170,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f19169]) ).
fof(f19266,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f19522,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) )
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f19079]) ).
fof(f19586,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,k9_relat_1(X2,X1))
<=> ? [X3] :
( r2_hidden(X3,k1_relat_1(X2))
& r2_hidden(k4_tarski(X3,X0),X2)
& r2_hidden(X3,X1) ) )
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f852]) ).
fof(f19587,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,[],[f849]) ).
fof(f19643,plain,
! [X0,X1,X2] :
( ! [X3] :
( k2_relset_2(X0,X1,X2,X3) = k10_relset_1(X0,X1,X2,k1_tarski(X3))
| ~ m1_subset_1(X3,X0) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f19078]) ).
fof(f19747,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1392]) ).
fof(f19748,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1333]) ).
fof(f20087,plain,
( k10_relset_1(sK13,sK14,sK16,sK15) != k3_tarski(a_4_0_relset_2(sK13,sK14,sK15,sK16))
& m2_relset_1(sK16,sK13,sK14)
& m1_subset_1(sK15,k1_zfmisc_1(sK13))
& ~ v1_xboole_0(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15),skolemize(X3,sK16)],[f19123]) ).
fof(f20098,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,[],[f9]) ).
fof(f20099,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,[],[f20098]) ).
fof(f20100,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ( ( ! [X3] :
( ~ r2_hidden(sK25(X0,X1),X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(sK25(X0,X1),X1) )
& ( ( r2_hidden(sK25(X0,X1),sK26(X0,X1))
& r2_hidden(sK26(X0,X1),X0) )
| r2_hidden(sK25(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ( r2_hidden(X5,sK27(X0,X5))
& r2_hidden(sK27(X0,X5),X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27]),skolemize(X2,sK25(X0,X1)),skolemize(X4,sK26(X0,X1)),skolemize(X7,sK27(X0,X5))],[f20099]) ).
fof(f20115,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| k2_relset_2(X1,X2,X4,X5) != X0
| ~ r2_hidden(X5,X3) ) )
& ( ? [X5] :
( m1_subset_1(X5,X1)
& X0 = k2_relset_2(X1,X2,X4,X5)
& r2_hidden(X5,X3) )
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4)) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(nnf_transformation,[],[f19155]) ).
fof(f20116,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| k2_relset_2(X1,X2,X4,X5) != X0
| ~ r2_hidden(X5,X3) ) )
& ( ? [X6] :
( m1_subset_1(X6,X1)
& k2_relset_2(X1,X2,X4,X6) = X0
& r2_hidden(X6,X3) )
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4)) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(rectify,[],[f20115]) ).
fof(f20117,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,X1)
| k2_relset_2(X1,X2,X4,X5) != X0
| ~ r2_hidden(X5,X3) ) )
& ( ( m1_subset_1(sK38(X0,X1,X2,X3,X4),X1)
& k2_relset_2(X1,X2,X4,sK38(X0,X1,X2,X3,X4)) = X0
& r2_hidden(sK38(X0,X1,X2,X3,X4),X3) )
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4)) ) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(X6,sK38(X0,X1,X2,X3,X4))],[f20116]) ).
fof(f20159,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f20160,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f20159]) ).
fof(f20161,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,[],[f19266]) ).
fof(f20162,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,[],[f20161]) ).
fof(f20163,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK68(X0,X1),X1)
& r2_hidden(sK68(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(X2,sK68(X0,X1))],[f20162]) ).
fof(f20230,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ r2_hidden(k4_tarski(X1,X0),X2) )
& ( r2_hidden(k4_tarski(X1,X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1))) ) )
| ~ v1_relat_1(X2) ),
inference(nnf_transformation,[],[f19522]) ).
fof(f20238,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,k9_relat_1(X2,X1))
| ! [X3] :
( ~ r2_hidden(X3,k1_relat_1(X2))
| ~ r2_hidden(k4_tarski(X3,X0),X2)
| ~ r2_hidden(X3,X1) ) )
& ( ? [X3] :
( r2_hidden(X3,k1_relat_1(X2))
& r2_hidden(k4_tarski(X3,X0),X2)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X0,k9_relat_1(X2,X1)) ) )
| ~ v1_relat_1(X2) ),
inference(nnf_transformation,[],[f19586]) ).
fof(f20239,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,k9_relat_1(X2,X1))
| ! [X3] :
( ~ r2_hidden(X3,k1_relat_1(X2))
| ~ r2_hidden(k4_tarski(X3,X0),X2)
| ~ r2_hidden(X3,X1) ) )
& ( ? [X4] :
( r2_hidden(X4,k1_relat_1(X2))
& r2_hidden(k4_tarski(X4,X0),X2)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X0,k9_relat_1(X2,X1)) ) )
| ~ v1_relat_1(X2) ),
inference(rectify,[],[f20238]) ).
fof(f20240,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,k9_relat_1(X2,X1))
| ! [X3] :
( ~ r2_hidden(X3,k1_relat_1(X2))
| ~ r2_hidden(k4_tarski(X3,X0),X2)
| ~ r2_hidden(X3,X1) ) )
& ( ( r2_hidden(sK121(X0,X1,X2),k1_relat_1(X2))
& r2_hidden(k4_tarski(sK121(X0,X1,X2),X0),X2)
& r2_hidden(sK121(X0,X1,X2),X1) )
| ~ r2_hidden(X0,k9_relat_1(X2,X1)) ) )
| ~ v1_relat_1(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK121]),skolemize(X4,sK121(X0,X1,X2))],[f20239]) ).
fof(f20241,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,[],[f19587]) ).
fof(f20242,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,[],[f20241]) ).
fof(f20243,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,sK122(X0,X1,X2)),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(sK122(X0,X1,X2),X2) )
& ( ( r2_hidden(k4_tarski(sK123(X0,X1,X2),sK122(X0,X1,X2)),X0)
& r2_hidden(sK123(X0,X1,X2),X1) )
| r2_hidden(sK122(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(sK124(X0,X1,X6),X6),X0)
& r2_hidden(sK124(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,[sK122,sK123,sK124]),skolemize(X3,sK122(X0,X1,X2)),skolemize(X5,sK123(X0,X1,X2)),skolemize(X8,sK124(X0,X1,X6))],[f20242]) ).
fof(f20247,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1394]) ).
fof(f20433,plain,
~ v1_xboole_0(sK13),
inference(cnf_transformation,[],[f20087]) ).
fof(f20434,plain,
m1_subset_1(sK15,k1_zfmisc_1(sK13)),
inference(cnf_transformation,[],[f20087]) ).
fof(f20435,plain,
m2_relset_1(sK16,sK13,sK14),
inference(cnf_transformation,[],[f20087]) ).
fof(f20436,plain,
k10_relset_1(sK13,sK14,sK16,sK15) != k3_tarski(a_4_0_relset_2(sK13,sK14,sK15,sK16)),
inference(cnf_transformation,[],[f20087]) ).
fof(f20467,plain,
! [X0,X1,X5] :
( r2_hidden(sK27(X0,X5),X0)
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f20100]) ).
fof(f20468,plain,
! [X0,X1,X5] :
( r2_hidden(X5,sK27(X0,X5))
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f20100]) ).
fof(f20469,plain,
! [X0,X1,X6,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f20100]) ).
fof(f20503,plain,
! [X2,X3,X0,X1] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19151]) ).
fof(f20509,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK38(X0,X1,X2,X3,X4),X3)
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f20117]) ).
fof(f20510,plain,
! [X2,X3,X0,X1,X4] :
( k2_relset_2(X1,X2,X4,sK38(X0,X1,X2,X3,X4)) = X0
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f20117]) ).
fof(f20511,plain,
! [X2,X3,X0,X1,X4] :
( m1_subset_1(sK38(X0,X1,X2,X3,X4),X1)
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f20117]) ).
fof(f20512,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X5,X1)
| k2_relset_2(X1,X2,X4,X5) != X0
| ~ r2_hidden(X5,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f20117]) ).
fof(f20529,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f19170]) ).
fof(f20663,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f20160]) ).
fof(f20666,plain,
! [X0,X1] :
( r2_hidden(sK68(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f20163]) ).
fof(f20667,plain,
! [X0,X1] :
( ~ r2_hidden(sK68(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f20163]) ).
fof(f21078,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| r2_hidden(k4_tarski(X1,X0),X2)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f20230]) ).
fof(f21079,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ r2_hidden(k4_tarski(X1,X0),X2)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f20230]) ).
fof(f21129,plain,
! [X2,X0,X1] :
( r2_hidden(sK121(X0,X1,X2),X1)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f20240]) ).
fof(f21130,plain,
! [X2,X0,X1] :
( r2_hidden(k4_tarski(sK121(X0,X1,X2),X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f20240]) ).
fof(f21135,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,[],[f20243]) ).
fof(f21150,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f20247]) ).
fof(f21274,plain,
! [X2,X3,X0,X1] :
( k2_relset_2(X0,X1,X2,X3) = k10_relset_1(X0,X1,X2,k1_tarski(X3))
| ~ m1_subset_1(X3,X0)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19643]) ).
fof(f21422,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19747]) ).
fof(f21423,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f19748]) ).
fof(f21905,plain,
! [X0,X6,X5] :
( r2_hidden(X5,k3_tarski(X0))
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ),
inference(equality_resolution,[],[f20469]) ).
fof(f21906,plain,
! [X0,X5] :
( r2_hidden(X5,sK27(X0,X5))
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f20468]) ).
fof(f21907,plain,
! [X0,X5] :
( r2_hidden(sK27(X0,X5),X0)
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f20467]) ).
fof(f21908,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k2_relset_2(X1,X2,X4,X5),a_4_0_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X5,X1)
| ~ r2_hidden(X5,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(equality_resolution,[],[f20512]) ).
fof(f21942,plain,
! [X0,X1,X6,X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| r2_hidden(X6,k9_relat_1(X0,X1))
| ~ r2_hidden(X7,X1)
| ~ v1_relat_1(X0) ),
inference(equality_resolution,[],[f21135]) ).
fof(f22031,definition,
sF256 = k10_relset_1(sK13,sK14,sK16,sK15),
introduced(definition,[new_symbols(definition,[sF256])],[function_definition]) ).
fof(f22032,plain,
k10_relset_1(sK13,sK14,sK16,sK15) = sF256,
inference(reorient_equations,[],[f22031]) ).
fof(f22033,definition,
sF257 = a_4_0_relset_2(sK13,sK14,sK15,sK16),
introduced(definition,[new_symbols(definition,[sF257])],[function_definition]) ).
fof(f22034,plain,
a_4_0_relset_2(sK13,sK14,sK15,sK16) = sF257,
inference(reorient_equations,[],[f22033]) ).
fof(f22035,definition,
sF258 = k3_tarski(sF257),
introduced(definition,[new_symbols(definition,[sF258])],[function_definition]) ).
fof(f22036,plain,
k3_tarski(sF257) = sF258,
inference(reorient_equations,[],[f22035]) ).
fof(f22037,plain,
sF256 != sF258,
inference(definition_folding,[],[f20436,f22036,f22034,f22032]) ).
fof(f22038,definition,
sF259 = k1_zfmisc_1(sK13),
introduced(definition,[new_symbols(definition,[sF259])],[function_definition]) ).
fof(f22039,plain,
k1_zfmisc_1(sK13) = sF259,
inference(reorient_equations,[],[f22038]) ).
fof(f22040,plain,
m1_subset_1(sK15,sF259),
inference(definition_folding,[],[f20434,f22039]) ).
fof(f22609,definition,
( spl260_111
<=> v1_xboole_0(sK13) ),
introduced(definition,[new_symbols(definition,[spl260_111])],[avatar_definition]) ).
fof(f22611,plain,
( ~ v1_xboole_0(sK13)
| spl260_111 ),
inference(avatar_component_clause,[],[f22609]) ).
fof(f22612,plain,
~ spl260_111,
inference(avatar_split_clause,[],[f20433,f22609]) ).
fof(f22614,definition,
( spl260_112
<=> m1_subset_1(sK15,sF259) ),
introduced(definition,[new_symbols(definition,[spl260_112])],[avatar_definition]) ).
fof(f22616,plain,
( m1_subset_1(sK15,sF259)
| ~ spl260_112 ),
inference(avatar_component_clause,[],[f22614]) ).
fof(f22617,plain,
spl260_112,
inference(avatar_split_clause,[],[f22040,f22614]) ).
fof(f22619,definition,
( spl260_113
<=> m2_relset_1(sK16,sK13,sK14) ),
introduced(definition,[new_symbols(definition,[spl260_113])],[avatar_definition]) ).
fof(f22621,plain,
( m2_relset_1(sK16,sK13,sK14)
| ~ spl260_113 ),
inference(avatar_component_clause,[],[f22619]) ).
fof(f22622,plain,
spl260_113,
inference(avatar_split_clause,[],[f20435,f22619]) ).
fof(f22624,definition,
( spl260_114
<=> sF256 = sF258 ),
introduced(definition,[new_symbols(definition,[spl260_114])],[avatar_definition]) ).
fof(f22626,plain,
( sF256 != sF258
| spl260_114 ),
inference(avatar_component_clause,[],[f22624]) ).
fof(f22627,plain,
~ spl260_114,
inference(avatar_split_clause,[],[f22037,f22624]) ).
fof(f22629,definition,
( spl260_115
<=> k10_relset_1(sK13,sK14,sK16,sK15) = sF256 ),
introduced(definition,[new_symbols(definition,[spl260_115])],[avatar_definition]) ).
fof(f22631,plain,
( k10_relset_1(sK13,sK14,sK16,sK15) = sF256
| ~ spl260_115 ),
inference(avatar_component_clause,[],[f22629]) ).
fof(f22632,plain,
spl260_115,
inference(avatar_split_clause,[],[f22032,f22629]) ).
fof(f22634,definition,
( spl260_116
<=> a_4_0_relset_2(sK13,sK14,sK15,sK16) = sF257 ),
introduced(definition,[new_symbols(definition,[spl260_116])],[avatar_definition]) ).
fof(f22636,plain,
( a_4_0_relset_2(sK13,sK14,sK15,sK16) = sF257
| ~ spl260_116 ),
inference(avatar_component_clause,[],[f22634]) ).
fof(f22637,plain,
spl260_116,
inference(avatar_split_clause,[],[f22034,f22634]) ).
fof(f22639,definition,
( spl260_117
<=> k3_tarski(sF257) = sF258 ),
introduced(definition,[new_symbols(definition,[spl260_117])],[avatar_definition]) ).
fof(f22641,plain,
( k3_tarski(sF257) = sF258
| ~ spl260_117 ),
inference(avatar_component_clause,[],[f22639]) ).
fof(f22642,plain,
spl260_117,
inference(avatar_split_clause,[],[f22036,f22639]) ).
fof(f22644,definition,
( spl260_118
<=> k1_zfmisc_1(sK13) = sF259 ),
introduced(definition,[new_symbols(definition,[spl260_118])],[avatar_definition]) ).
fof(f22646,plain,
( k1_zfmisc_1(sK13) = sF259
| ~ spl260_118 ),
inference(avatar_component_clause,[],[f22644]) ).
fof(f22647,plain,
spl260_118,
inference(avatar_split_clause,[],[f22039,f22644]) ).
fof(f22651,definition,
( spl260_119
<=> m1_relset_1(sK16,sK13,sK14) ),
introduced(definition,[new_symbols(definition,[spl260_119])],[avatar_definition]) ).
fof(f22659,plain,
( sF256 = k9_relat_1(sK16,sK15)
| ~ m1_relset_1(sK16,sK13,sK14)
| ~ spl260_115 ),
inference(superposition,[],[f20503,f22631]) ).
fof(f22664,definition,
( spl260_121
<=> sF256 = k9_relat_1(sK16,sK15) ),
introduced(definition,[new_symbols(definition,[spl260_121])],[avatar_definition]) ).
fof(f22666,plain,
( sF256 = k9_relat_1(sK16,sK15)
| ~ spl260_121 ),
inference(avatar_component_clause,[],[f22664]) ).
fof(f22668,plain,
( ~ spl260_119
| spl260_121
| ~ spl260_115 ),
inference(avatar_split_clause,[],[f22659,f22629,f22664,f22651]) ).
fof(f22670,plain,
( ! [X0] :
( r2_hidden(k2_relset_2(sK13,sK14,sK16,X0),sF257)
| ~ m1_subset_1(X0,sK13)
| ~ r2_hidden(X0,sK15)
| v1_xboole_0(sK13)
| ~ m1_subset_1(sK15,k1_zfmisc_1(sK13))
| ~ m2_relset_1(sK16,sK13,sK14) )
| ~ spl260_116 ),
inference(superposition,[],[f21908,f22636]) ).
fof(f22672,plain,
( ! [X0] :
( r2_hidden(k2_relset_2(sK13,sK14,sK16,X0),sF257)
| ~ m1_subset_1(X0,sK13)
| ~ r2_hidden(X0,sK15)
| ~ m1_subset_1(sK15,k1_zfmisc_1(sK13))
| ~ m2_relset_1(sK16,sK13,sK14) )
| spl260_111
| ~ spl260_116 ),
inference(forward_subsumption_resolution,[],[f22670,f22611]) ).
fof(f22673,plain,
( ! [X0] :
( r2_hidden(k2_relset_2(sK13,sK14,sK16,X0),sF257)
| ~ m1_subset_1(X0,sK13)
| ~ r2_hidden(X0,sK15)
| ~ m1_subset_1(sK15,k1_zfmisc_1(sK13)) )
| spl260_111
| ~ spl260_113
| ~ spl260_116 ),
inference(forward_subsumption_resolution,[],[f22672,f22621]) ).
fof(f22674,plain,
( ! [X0] :
( ~ m1_subset_1(sK15,sF259)
| r2_hidden(k2_relset_2(sK13,sK14,sK16,X0),sF257)
| ~ m1_subset_1(X0,sK13)
| ~ r2_hidden(X0,sK15) )
| spl260_111
| ~ spl260_113
| ~ spl260_116
| ~ spl260_118 ),
inference(forward_demodulation,[],[f22673,f22646]) ).
fof(f22675,plain,
( ! [X0] :
( r2_hidden(k2_relset_2(sK13,sK14,sK16,X0),sF257)
| ~ m1_subset_1(X0,sK13)
| ~ r2_hidden(X0,sK15) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_118 ),
inference(forward_subsumption_resolution,[],[f22674,f22616]) ).
fof(f22682,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sF257)
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,sF258) )
| ~ spl260_117 ),
inference(superposition,[],[f21905,f22641]) ).
fof(f22683,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k2_relset_2(sK13,sK14,sK16,X1))
| r2_hidden(X0,sF258)
| ~ m1_subset_1(X1,sK13)
| ~ r2_hidden(X1,sK15) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118 ),
inference(resolution,[],[f22682,f22675]) ).
fof(f22687,plain,
( m1_relset_1(sK16,sK13,sK14)
| ~ spl260_113 ),
inference(resolution,[],[f21150,f22621]) ).
fof(f22688,plain,
( spl260_119
| ~ spl260_113 ),
inference(avatar_split_clause,[],[f22687,f22619,f22651]) ).
fof(f22719,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f21423,f21422]) ).
fof(f22721,plain,
( v1_relat_1(sK16)
| ~ spl260_113 ),
inference(resolution,[],[f22719,f22621]) ).
fof(f22723,definition,
( spl260_127
<=> v1_relat_1(sK16) ),
introduced(definition,[new_symbols(definition,[spl260_127])],[avatar_definition]) ).
fof(f22725,plain,
( v1_relat_1(sK16)
| ~ spl260_127 ),
inference(avatar_component_clause,[],[f22723]) ).
fof(f22726,plain,
( spl260_127
| ~ spl260_113 ),
inference(avatar_split_clause,[],[f22721,f22619,f22723]) ).
fof(f22732,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF259)
| ~ r2_hidden(X1,X0)
| m1_subset_1(X1,sK13) )
| ~ spl260_118 ),
inference(superposition,[],[f20529,f22646]) ).
fof(f22736,plain,
! [X2,X3,X0,X1] :
( k9_relat_1(X0,k1_tarski(X1)) = k2_relset_2(X2,X3,X0,X1)
| ~ m1_subset_1(X1,X2)
| ~ m2_relset_1(X0,X2,X3)
| ~ m1_relset_1(X0,X2,X3) ),
inference(superposition,[],[f21274,f20503]) ).
fof(f22741,plain,
! [X2,X3,X0,X1] :
( k9_relat_1(X0,k1_tarski(X1)) = k2_relset_2(X2,X3,X0,X1)
| ~ m1_subset_1(X1,X2)
| ~ m2_relset_1(X0,X2,X3) ),
inference(forward_subsumption_resolution,[],[f22736,f21150]) ).
fof(f22743,plain,
! [X2,X3,X0,X1,X4] :
( k9_relat_1(X0,k1_tarski(sK38(X1,X2,X3,X4,X0))) = X1
| ~ r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m2_relset_1(X0,X2,X3)
| ~ m1_subset_1(sK38(X1,X2,X3,X4,X0),X2)
| ~ m2_relset_1(X0,X2,X3) ),
inference(superposition,[],[f20510,f22741]) ).
fof(f22748,plain,
! [X2,X3,X0,X1,X4] :
( k9_relat_1(X0,k1_tarski(sK38(X1,X2,X3,X4,X0))) = X1
| ~ r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X0))
| v1_xboole_0(X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m2_relset_1(X0,X2,X3)
| ~ m1_subset_1(sK38(X1,X2,X3,X4,X0),X2) ),
inference(duplicate_literal_removal,[],[f22743]) ).
fof(f22752,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X1,X0)
| r2_hidden(k4_tarski(sK38(X0,X3,X4,X5,X2),X1),X2)
| ~ v1_relat_1(X2)
| ~ r2_hidden(X0,a_4_0_relset_2(X3,X4,X5,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| ~ m2_relset_1(X2,X3,X4)
| ~ m1_subset_1(sK38(X0,X3,X4,X5,X2),X3) ),
inference(superposition,[],[f21078,f22748]) ).
fof(f22753,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X1,X0)
| r2_hidden(k4_tarski(sK38(X0,X3,X4,X5,X2),X1),X2)
| ~ r2_hidden(X0,a_4_0_relset_2(X3,X4,X5,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| ~ m2_relset_1(X2,X3,X4)
| ~ m1_subset_1(sK38(X0,X3,X4,X5,X2),X3) ),
inference(forward_subsumption_resolution,[],[f22752,f22719]) ).
fof(f22754,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK15)
| m1_subset_1(X0,sK13) )
| ~ spl260_112
| ~ spl260_118 ),
inference(resolution,[],[f22732,f22616]) ).
fof(f22758,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k2_relset_2(sK13,sK14,sK16,X1))
| r2_hidden(X0,sF258)
| ~ r2_hidden(X1,sK15) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118 ),
inference(forward_subsumption_resolution,[],[f22683,f22754]) ).
fof(f22763,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK16,k1_tarski(X0)))
| r2_hidden(X1,sF258)
| ~ r2_hidden(X0,sK15)
| ~ m1_subset_1(X0,sK13)
| ~ m2_relset_1(sK16,sK13,sK14) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118 ),
inference(superposition,[],[f22758,f22741]) ).
fof(f22764,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK16,k1_tarski(X0)))
| r2_hidden(X1,sF258)
| ~ r2_hidden(X0,sK15)
| ~ m2_relset_1(sK16,sK13,sK14) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118 ),
inference(forward_subsumption_resolution,[],[f22763,f22754]) ).
fof(f22766,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK16,k1_tarski(X0)))
| r2_hidden(X1,sF258)
| ~ r2_hidden(X0,sK15) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118 ),
inference(forward_subsumption_resolution,[],[f22764,f22621]) ).
fof(f22926,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),sK16)
| ~ v1_relat_1(sK16)
| r2_hidden(X1,sF258)
| ~ r2_hidden(X0,sK15) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118 ),
inference(resolution,[],[f21079,f22766]) ).
fof(f22934,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),sK16)
| r2_hidden(X1,sF258)
| ~ r2_hidden(X0,sK15) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_127 ),
inference(forward_subsumption_resolution,[],[f22926,f22725]) ).
fof(f22936,plain,
( ! [X0,X1] :
( r2_hidden(X0,sF258)
| ~ r2_hidden(sK121(X0,X1,sK16),sK15)
| ~ r2_hidden(X0,k9_relat_1(sK16,X1))
| ~ v1_relat_1(sK16) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_127 ),
inference(resolution,[],[f22934,f21130]) ).
fof(f22939,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK121(X0,X1,sK16),sK15)
| r2_hidden(X0,sF258)
| ~ r2_hidden(X0,k9_relat_1(sK16,X1)) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_127 ),
inference(forward_subsumption_resolution,[],[f22936,f22725]) ).
fof(f22982,plain,
( ! [X0] :
( r2_hidden(X0,sF258)
| ~ r2_hidden(X0,k9_relat_1(sK16,sK15))
| ~ r2_hidden(X0,k9_relat_1(sK16,sK15))
| ~ v1_relat_1(sK16) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_127 ),
inference(resolution,[],[f22939,f21129]) ).
fof(f22983,plain,
( ! [X0] :
( r2_hidden(X0,sF258)
| ~ r2_hidden(X0,k9_relat_1(sK16,sK15))
| ~ v1_relat_1(sK16) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_127 ),
inference(duplicate_literal_removal,[],[f22982]) ).
fof(f22984,plain,
( ! [X0] :
( r2_hidden(X0,sF258)
| ~ r2_hidden(X0,k9_relat_1(sK16,sK15)) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_127 ),
inference(forward_subsumption_resolution,[],[f22983,f22725]) ).
fof(f22985,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF256)
| r2_hidden(X0,sF258) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121
| ~ spl260_127 ),
inference(forward_demodulation,[],[f22984,f22666]) ).
fof(f22992,plain,
( ! [X0] :
( r2_hidden(sK68(sF256,X0),sF258)
| r1_tarski(sF256,X0) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121
| ~ spl260_127 ),
inference(resolution,[],[f22985,f20666]) ).
fof(f23018,plain,
( r1_tarski(sF256,sF258)
| r1_tarski(sF256,sF258)
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121
| ~ spl260_127 ),
inference(resolution,[],[f22992,f20667]) ).
fof(f23020,plain,
( r1_tarski(sF256,sF258)
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121
| ~ spl260_127 ),
inference(duplicate_literal_removal,[],[f23018]) ).
fof(f23022,definition,
( spl260_147
<=> r1_tarski(sF256,sF258) ),
introduced(definition,[new_symbols(definition,[spl260_147])],[avatar_definition]) ).
fof(f23024,plain,
( r1_tarski(sF256,sF258)
| ~ spl260_147 ),
inference(avatar_component_clause,[],[f23022]) ).
fof(f23025,plain,
( spl260_147
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121
| ~ spl260_127 ),
inference(avatar_split_clause,[],[f23020,f22723,f22664,f22644,f22639,f22634,f22619,f22614,f22609,f23022]) ).
fof(f23056,plain,
( ~ r1_tarski(sF258,sF256)
| sF256 = sF258
| ~ spl260_147 ),
inference(resolution,[],[f23024,f20663]) ).
fof(f23057,plain,
( ~ r1_tarski(sF258,sF256)
| spl260_114
| ~ spl260_147 ),
inference(forward_subsumption_resolution,[],[f23056,f22626]) ).
fof(f23059,definition,
( spl260_150
<=> r1_tarski(sF258,sF256) ),
introduced(definition,[new_symbols(definition,[spl260_150])],[avatar_definition]) ).
fof(f23061,plain,
( ~ r1_tarski(sF258,sF256)
| spl260_150 ),
inference(avatar_component_clause,[],[f23059]) ).
fof(f23062,plain,
( ~ spl260_150
| spl260_114
| ~ spl260_147 ),
inference(avatar_split_clause,[],[f23057,f23022,f22624,f23059]) ).
fof(f23279,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(k4_tarski(sK38(X0,X3,X4,X5,X2),X1),X2)
| ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,a_4_0_relset_2(X3,X4,X5,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| ~ m2_relset_1(X2,X3,X4) ),
inference(forward_subsumption_resolution,[],[f22753,f20511]) ).
fof(f23281,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X5))
| v1_xboole_0(X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m2_relset_1(X5,X2,X3)
| r2_hidden(X0,k9_relat_1(X5,X6))
| ~ r2_hidden(sK38(X1,X2,X3,X4,X5),X6)
| ~ v1_relat_1(X5) ),
inference(resolution,[],[f23279,f21942]) ).
fof(f23297,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2_hidden(sK38(X1,X2,X3,X4,X5),X6)
| ~ r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X5))
| v1_xboole_0(X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m2_relset_1(X5,X2,X3)
| r2_hidden(X0,k9_relat_1(X5,X6))
| ~ r2_hidden(X0,X1) ),
inference(forward_subsumption_resolution,[],[f23281,f22719]) ).
fof(f23298,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2)
| r2_hidden(X5,k9_relat_1(X4,X3))
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2) ),
inference(resolution,[],[f23297,f20509]) ).
fof(f23306,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X0,a_4_0_relset_2(X1,X2,X3,X4))
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X1,X2)
| r2_hidden(X5,k9_relat_1(X4,X3))
| ~ r2_hidden(X5,X0) ),
inference(duplicate_literal_removal,[],[f23298]) ).
fof(f23323,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF257)
| v1_xboole_0(sK13)
| ~ m1_subset_1(sK15,k1_zfmisc_1(sK13))
| ~ m2_relset_1(sK16,sK13,sK14)
| r2_hidden(X1,k9_relat_1(sK16,sK15))
| ~ r2_hidden(X1,X0) )
| ~ spl260_116 ),
inference(superposition,[],[f23306,f22636]) ).
fof(f23325,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF257)
| ~ m1_subset_1(sK15,k1_zfmisc_1(sK13))
| ~ m2_relset_1(sK16,sK13,sK14)
| r2_hidden(X1,k9_relat_1(sK16,sK15))
| ~ r2_hidden(X1,X0) )
| spl260_111
| ~ spl260_116 ),
inference(forward_subsumption_resolution,[],[f23323,f22611]) ).
fof(f23327,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF257)
| ~ m1_subset_1(sK15,k1_zfmisc_1(sK13))
| r2_hidden(X1,k9_relat_1(sK16,sK15))
| ~ r2_hidden(X1,X0) )
| spl260_111
| ~ spl260_113
| ~ spl260_116 ),
inference(forward_subsumption_resolution,[],[f23325,f22621]) ).
fof(f23328,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK15,sF259)
| ~ r2_hidden(X0,sF257)
| r2_hidden(X1,k9_relat_1(sK16,sK15))
| ~ r2_hidden(X1,X0) )
| spl260_111
| ~ spl260_113
| ~ spl260_116
| ~ spl260_118 ),
inference(forward_demodulation,[],[f23327,f22646]) ).
fof(f23329,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF257)
| r2_hidden(X1,k9_relat_1(sK16,sK15))
| ~ r2_hidden(X1,X0) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_118 ),
inference(forward_subsumption_resolution,[],[f23328,f22616]) ).
fof(f23330,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,sF257)
| r2_hidden(X1,sF256) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_118
| ~ spl260_121 ),
inference(forward_demodulation,[],[f23329,f22666]) ).
fof(f23337,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK27(X0,X1),sF257)
| r2_hidden(X1,sF256)
| ~ r2_hidden(X1,k3_tarski(X0)) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_118
| ~ spl260_121 ),
inference(resolution,[],[f23330,f21906]) ).
fof(f23388,plain,
( ! [X0] :
( r2_hidden(X0,sF256)
| ~ r2_hidden(X0,k3_tarski(sF257))
| ~ r2_hidden(X0,k3_tarski(sF257)) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_118
| ~ spl260_121 ),
inference(resolution,[],[f23337,f21907]) ).
fof(f23389,plain,
( ! [X0] :
( r2_hidden(X0,sF256)
| ~ r2_hidden(X0,k3_tarski(sF257)) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_118
| ~ spl260_121 ),
inference(duplicate_literal_removal,[],[f23388]) ).
fof(f23390,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF258)
| r2_hidden(X0,sF256) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121 ),
inference(forward_demodulation,[],[f23389,f22641]) ).
fof(f23404,plain,
( ! [X0] :
( r2_hidden(sK68(sF258,X0),sF256)
| r1_tarski(sF258,X0) )
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121 ),
inference(resolution,[],[f23390,f20666]) ).
fof(f23440,plain,
( r1_tarski(sF258,sF256)
| r1_tarski(sF258,sF256)
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121 ),
inference(resolution,[],[f23404,f20667]) ).
fof(f23444,plain,
( r1_tarski(sF258,sF256)
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121 ),
inference(duplicate_literal_removal,[],[f23440]) ).
fof(f23445,plain,
( $false
| spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121
| spl260_150 ),
inference(forward_subsumption_resolution,[],[f23444,f23061]) ).
fof(f23446,plain,
( spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121
| spl260_150 ),
inference(avatar_contradiction_clause,[],[f23445]) ).
cnf(s117,plain,
~ spl260_111,
inference(sat_conversion,[],[f22612]) ).
cnf(s118,plain,
spl260_112,
inference(sat_conversion,[],[f22617]) ).
cnf(s119,plain,
spl260_113,
inference(sat_conversion,[],[f22622]) ).
cnf(s120,plain,
~ spl260_114,
inference(sat_conversion,[],[f22627]) ).
cnf(s121,plain,
spl260_115,
inference(sat_conversion,[],[f22632]) ).
cnf(s122,plain,
spl260_116,
inference(sat_conversion,[],[f22637]) ).
cnf(s123,plain,
spl260_117,
inference(sat_conversion,[],[f22642]) ).
cnf(s124,plain,
spl260_118,
inference(sat_conversion,[],[f22647]) ).
cnf(s127,plain,
( ~ spl260_115
| ~ spl260_119
| spl260_121 ),
inference(sat_conversion,[],[f22668]) ).
cnf(s128,plain,
( ~ spl260_113
| spl260_119 ),
inference(sat_conversion,[],[f22688]) ).
cnf(s132,plain,
( ~ spl260_113
| spl260_127 ),
inference(sat_conversion,[],[f22726]) ).
cnf(s144,plain,
( spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121
| ~ spl260_127
| spl260_147 ),
inference(sat_conversion,[],[f23025]) ).
cnf(s147,plain,
( spl260_114
| ~ spl260_147
| ~ spl260_150 ),
inference(sat_conversion,[],[f23062]) ).
cnf(s165,plain,
( spl260_111
| ~ spl260_112
| ~ spl260_113
| ~ spl260_116
| ~ spl260_117
| ~ spl260_118
| ~ spl260_121
| spl260_150 ),
inference(sat_conversion,[],[f23446]) ).
cnf(s167,plain,
spl260_127,
inference(rat,[],[s132,s119]) ).
cnf(s168,plain,
spl260_119,
inference(rat,[],[s128,s119]) ).
cnf(s169,plain,
spl260_121,
inference(rat,[],[s127,s121,s168]) ).
cnf(s171,plain,
spl260_150,
inference(rat,[],[s165,s118,s169,s124,s123,s122,s119,s117]) ).
cnf(s173,plain,
spl260_147,
inference(rat,[],[s144,s118,s167,s169,s124,s123,s122,s119,s117]) ).
cnf(s174,plain,
$false,
inference(rat,[],[s147,s120,s171,s173]) ).
fof(f23447,plain,
$false,
inference(avatar_sat_refutation,[],[s174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU423+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 28 05:19:43 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 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
% 12.78/3.62 % (3633078)Detected formulas, will run a generic FOF schedule.
% 12.78/3.62 % (3633084)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=3228883114:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 12.78/3.62 % (3633087)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1124501094:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 12.78/3.62 % (3633088)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1859447131:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 12.78/3.62 % (3633086)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3991422956:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 12.78/3.62 % (3633083)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=2124286927:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 12.78/3.62 % (3633085)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=4250019139:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 12.78/3.62 % (3633089)dis-21_1_sil=8000:lcm=predicate:random_seed=1228843846:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 12.78/3.62 % (3633087)Instruction limit reached!
% 12.78/3.62 % (3633087)------------------------------
% 12.78/3.62 % (3633087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/3.62 % (3633087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/3.62 % (3633087)CaDiCaL version: 2.1.3
% 12.78/3.62 % (3633087)Termination reason: Instruction limit
% 12.78/3.62 % (3633087)Termination phase: Preprocessing 1
% 12.78/3.62 % (3633087)Time elapsed: 0.060 s
% 12.78/3.62 % (3633087)Peak memory usage: 113 MB
% 12.78/3.62 % (3633087)Instructions burned: 120 (million)
% 12.78/3.62 % (3633088)Instruction limit reached!
% 12.78/3.62 % (3633088)------------------------------
% 12.78/3.62 % (3633088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/3.62 % (3633088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/3.62 % (3633088)CaDiCaL version: 2.1.3
% 12.78/3.62 % (3633088)Termination reason: Instruction limit
% 12.78/3.62 % (3633088)Termination phase: Property scanning
% 12.78/3.62 % (3633088)Time elapsed: 0.060 s
% 12.78/3.62 % (3633088)Peak memory usage: 112 MB
% 12.78/3.62 % (3633088)Instructions burned: 139 (million)
% 12.78/3.62 % (3633086)Instruction limit reached!
% 12.78/3.62 % (3633086)------------------------------
% 12.78/3.62 % (3633086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/3.62 % (3633086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/3.62 % (3633086)CaDiCaL version: 2.1.3
% 12.78/3.62 % (3633086)Termination reason: Instruction limit
% 12.78/3.62 % (3633086)Termination phase: SInE selection
% 12.78/3.62 % (3633086)Time elapsed: 0.086 s
% 12.78/3.62 % (3633086)Peak memory usage: 112 MB
% 12.78/3.62 % (3633086)Instructions burned: 109 (million)
% 12.78/3.62 % (3633089)Instruction limit reached!
% 12.78/3.62 % (3633089)------------------------------
% 12.78/3.62 % (3633089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/3.62 % (3633089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/3.62 % (3633089)CaDiCaL version: 2.1.3
% 12.78/3.62 % (3633089)Termination reason: Instruction limit
% 12.78/3.62 % (3633089)Termination phase: SInE selection
% 12.78/3.62 % (3633089)Time elapsed: 0.091 s
% 12.78/3.62 % (3633089)Peak memory usage: 112 MB
% 12.78/3.62 % (3633089)Instructions burned: 129 (million)
% 12.78/3.62 % (3633097)lrs+10_1_sil=8000:sp=occurrence:random_seed=3470348327:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 12.78/3.62 % (3633098)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3019606385:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 12.78/3.62 % (3633099)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3527323541:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 12.78/3.62 % (3633100)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=2606939542:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 12.78/3.62 % (3633098)Instruction limit reached!
% 20.63/4.71 % (3633098)------------------------------
% 20.63/4.71 % (3633098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.63/4.71 % (3633098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/4.71 % (3633098)CaDiCaL version: 2.1.3
% 20.63/4.71 % (3633098)Termination reason: Instruction limit
% 20.63/4.71 % (3633098)Termination phase: Property scanning
% 20.63/4.71 % (3633098)Time elapsed: 0.069 s
% 20.63/4.71 % (3633098)Peak memory usage: 112 MB
% 20.63/4.71 % (3633098)Instructions burned: 157 (million)
% 20.63/4.71 % (3633097)Instruction limit reached!
% 20.63/4.71 % (3633097)------------------------------
% 20.63/4.71 % (3633097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.63/4.71 % (3633097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/4.71 % (3633097)CaDiCaL version: 2.1.3
% 20.63/4.71 % (3633097)Termination reason: Instruction limit
% 20.63/4.71 % (3633097)Termination phase: Saturation
% 20.63/4.71 % (3633097)Time elapsed: 0.123 s
% 20.63/4.71 % (3633097)Peak memory usage: 119 MB
% 20.63/4.71 % (3633097)Instructions burned: 286 (million)
% 20.63/4.72 % (3633100)Instruction limit reached!
% 20.63/4.72 % (3633100)------------------------------
% 20.63/4.72 % (3633100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.63/4.72 % (3633100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/4.72 % (3633100)CaDiCaL version: 2.1.3
% 20.63/4.72 % (3633100)Termination reason: Instruction limit
% 20.63/4.72 % (3633100)Termination phase: Property scanning
% 20.63/4.72 % (3633100)Time elapsed: 0.107 s
% 20.63/4.72 % (3633100)Peak memory usage: 112 MB
% 20.63/4.72 % (3633100)Instructions burned: 249 (million)
% 20.63/4.72 % (3633106)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2351507609:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 20.63/4.72 % (3633105)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2331109505:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 20.63/4.72 % (3633099)Instruction limit reached!
% 20.63/4.72 % (3633099)------------------------------
% 20.63/4.72 % (3633099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.63/4.72 % (3633099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/4.72 % (3633099)CaDiCaL version: 2.1.3
% 20.63/4.72 % (3633099)Termination reason: Instruction limit
% 20.63/4.72 % (3633099)Termination phase: Saturation
% 20.63/4.72 % (3633099)Time elapsed: 0.250 s
% 20.63/4.72 % (3633099)Peak memory usage: 119 MB
% 20.63/4.72 % (3633099)Instructions burned: 325 (million)
% 20.63/4.72 % (3633107)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1072905599:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 20.63/4.72 % (3633107)Instruction limit reached!
% 20.63/4.72 % (3633107)------------------------------
% 20.63/4.72 % (3633107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.63/4.72 % (3633107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/4.72 % (3633107)CaDiCaL version: 2.1.3
% 20.63/4.72 % (3633107)Termination reason: Instruction limit
% 20.63/4.72 % (3633107)Termination phase: SInE selection
% 20.63/4.72 % (3633107)Time elapsed: 0.088 s
% 20.63/4.72 % (3633107)Peak memory usage: 112 MB
% 20.63/4.72 % (3633107)Instructions burned: 113 (million)
% 20.63/4.72 % (3633110)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3050704386:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 20.63/4.72 % (3633105)Instruction limit reached!
% 20.63/4.72 % (3633105)------------------------------
% 20.63/4.72 % (3633105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.63/4.72 % (3633105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/4.72 % (3633105)CaDiCaL version: 2.1.3
% 20.63/4.72 % (3633105)Termination reason: Instruction limit
% 20.63/4.72 % (3633105)Termination phase: Property scanning
% 20.63/4.72 % (3633105)Time elapsed: 0.215 s
% 20.63/4.72 % (3633105)Peak memory usage: 118 MB
% 20.63/4.72 % (3633105)Instructions burned: 294 (million)
% 20.63/4.72 % (3633110)Instruction limit reached!
% 20.63/4.72 % (3633110)------------------------------
% 20.63/4.72 % (3633110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.63/4.72 % (3633110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/4.72 % (3633110)CaDiCaL version: 2.1.3
% 52.65/9.15 % (3633110)Termination reason: Instruction limit
% 52.65/9.15 % (3633110)Termination phase: Preprocessing 1
% 52.65/9.15 % (3633110)Time elapsed: 0.094 s
% 52.65/9.15 % (3633110)Peak memory usage: 113 MB
% 52.65/9.15 % (3633110)Instructions burned: 128 (million)
% 52.65/9.15 % (3633112)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3523009810:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 52.65/9.15 % (3633114)lrs+10_1_sil=8000:sp=occurrence:random_seed=2233556470:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 52.65/9.15 % (3633112)Instruction limit reached!
% 52.65/9.15 % (3633112)------------------------------
% 52.65/9.15 % (3633112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.15 % (3633112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.15 % (3633112)CaDiCaL version: 2.1.3
% 52.65/9.15 % (3633112)Termination reason: Instruction limit
% 52.65/9.15 % (3633112)Termination phase: Property scanning
% 52.65/9.15 % (3633112)Time elapsed: 0.051 s
% 52.65/9.15 % (3633112)Peak memory usage: 112 MB
% 52.65/9.15 % (3633112)Instructions burned: 116 (million)
% 52.65/9.15 % (3633115)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1493343720:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 52.65/9.15 % (3633118)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2999051177:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 52.65/9.15 % (3633106)Instruction limit reached!
% 52.65/9.15 % (3633106)------------------------------
% 52.65/9.15 % (3633106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.15 % (3633106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.15 % (3633106)CaDiCaL version: 2.1.3
% 52.65/9.15 % (3633106)Termination reason: Instruction limit
% 52.65/9.15 % (3633106)Termination phase: Property scanning
% 52.65/9.15 % (3633106)Time elapsed: 0.721 s
% 52.65/9.15 % (3633106)Peak memory usage: 171 MB
% 52.65/9.15 % (3633106)Instructions burned: 2352 (million)
% 52.65/9.15 % (3633115)Instruction limit reached!
% 52.65/9.15 % (3633115)------------------------------
% 52.65/9.15 % (3633115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.15 % (3633115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.15 % (3633115)CaDiCaL version: 2.1.3
% 52.65/9.15 % (3633115)Termination reason: Instruction limit
% 52.65/9.15 % (3633115)Termination phase: Saturation
% 52.65/9.15 % (3633115)Time elapsed: 0.296 s
% 52.65/9.15 % (3633115)Peak memory usage: 120 MB
% 52.65/9.15 % (3633115)Instructions burned: 440 (million)
% 52.65/9.15 % (3633121)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=751837827:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 52.65/9.15 % (3633121)Instruction limit reached!
% 52.65/9.15 % (3633121)------------------------------
% 52.65/9.15 % (3633121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.15 % (3633121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.15 % (3633121)CaDiCaL version: 2.1.3
% 52.65/9.15 % (3633121)Termination reason: Instruction limit
% 52.65/9.15 % (3633121)Termination phase: NewCNF
% 52.65/9.15 % (3633121)Time elapsed: 0.068 s
% 52.65/9.15 % (3633121)Peak memory usage: 115 MB
% 52.65/9.15 % (3633121)Instructions burned: 135 (million)
% 52.65/9.15 % (3633114)Instruction limit reached!
% 52.65/9.15 % (3633114)------------------------------
% 52.65/9.15 % (3633114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.65/9.15 % (3633114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.65/9.15 % (3633114)CaDiCaL version: 2.1.3
% 52.65/9.15 % (3633114)Termination reason: Instruction limit
% 52.65/9.15 % (3633114)Termination phase: Saturation
% 52.65/9.15 % (3633114)Time elapsed: 0.535 s
% 52.65/9.15 % (3633114)Peak memory usage: 130 MB
% 52.65/9.15 % (3633114)Instructions burned: 908 (million)
% 52.65/9.15 % (3633122)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1512844343:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 52.65/9.15 % (3633124)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=792021089:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 52.65/9.15 % (3633125)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=1042778532:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 76.59/12.82 % (3633125)Instruction limit reached!
% 76.59/12.82 % (3633125)------------------------------
% 76.59/12.82 % (3633125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.59/12.82 % (3633125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.59/12.82 % (3633125)CaDiCaL version: 2.1.3
% 76.59/12.82 % (3633125)Termination reason: Instruction limit
% 76.59/12.82 % (3633125)Termination phase: Property scanning
% 76.59/12.82 % (3633125)Time elapsed: 0.055 s
% 76.59/12.82 % (3633125)Peak memory usage: 112 MB
% 76.59/12.82 % (3633125)Instructions burned: 126 (million)
% 76.59/12.82 % (3633129)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3493447781:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 76.59/12.82 % (3633129)Instruction limit reached!
% 76.59/12.82 % (3633129)------------------------------
% 76.59/12.82 % (3633129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.59/12.82 % (3633129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.59/12.82 % (3633129)CaDiCaL version: 2.1.3
% 76.59/12.82 % (3633129)Termination reason: Instruction limit
% 76.59/12.82 % (3633129)Termination phase: Property scanning
% 76.59/12.82 % (3633129)Time elapsed: 0.059 s
% 76.59/12.82 % (3633129)Peak memory usage: 112 MB
% 76.59/12.82 % (3633129)Instructions burned: 136 (million)
% 76.59/12.82 % (3633122)Instruction limit reached!
% 76.59/12.82 % (3633122)------------------------------
% 76.59/12.82 % (3633122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.59/12.82 % (3633122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.59/12.82 % (3633122)CaDiCaL version: 2.1.3
% 76.59/12.82 % (3633122)Termination reason: Instruction limit
% 76.59/12.82 % (3633122)Termination phase: Preprocessing 3
% 76.59/12.82 % (3633122)Time elapsed: 0.458 s
% 76.59/12.82 % (3633122)Peak memory usage: 135 MB
% 76.59/12.82 % (3633122)Instructions burned: 592 (million)
% 76.59/12.82 % (3633131)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2114814186:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 76.59/12.82 % (3633132)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3701258411:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2968 on theBenchmark for (2968ds/431Mi)
% 76.59/12.82 % (3633131)Refutation not found, incomplete strategy
% 76.59/12.82 % (3633131)------------------------------
% 76.59/12.82 % (3633131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.59/12.82 % (3633131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.59/12.82 % (3633131)CaDiCaL version: 2.1.3
% 76.59/12.82 % (3633131)Termination reason: Refutation not found, incomplete strategy
% 76.59/12.82 % (3633131)Time elapsed: 0.109 s
% 76.59/12.82 % (3633131)Peak memory usage: 117 MB
% 76.59/12.82 % (3633131)Instructions burned: 126 (million)
% 76.59/12.82 % (3633132)Instruction limit reached!
% 76.59/12.82 % (3633132)------------------------------
% 76.59/12.82 % (3633132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.59/12.82 % (3633132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.59/12.82 % (3633132)CaDiCaL version: 2.1.3
% 76.59/12.82 % (3633132)Termination reason: Instruction limit
% 76.59/12.82 % (3633132)Termination phase: Saturation
% 76.59/12.82 % (3633132)Time elapsed: 0.291 s
% 76.59/12.82 % (3633132)Peak memory usage: 120 MB
% 76.59/12.82 % (3633132)Instructions burned: 432 (million)
% 76.59/12.82 % (3633131)------------------------------
% 76.59/12.82 % (3633131)------------------------------
% 76.59/12.82 % (3633135)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=3831930242:i=6060:aac=none:ins=25_2964 on theBenchmark for (2964ds/6060Mi)
% 76.59/12.82 % (3633136)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=3640498964:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2963 on theBenchmark for (2963ds/150Mi)
% 76.59/12.82 % (3633136)Instruction limit reached!
% 76.59/12.82 % (3633136)------------------------------
% 76.59/12.82 % (3633136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.59/12.82 % (3633136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.76/17.22 % (3633136)CaDiCaL version: 2.1.3
% 109.76/17.22 % (3633136)Termination reason: Instruction limit
% 109.76/17.22 % (3633136)Termination phase: Preprocessing 1
% 109.76/17.22 % (3633136)Time elapsed: 0.121 s
% 109.76/17.22 % (3633136)Peak memory usage: 113 MB
% 109.76/17.22 % (3633136)Instructions burned: 150 (million)
% 109.76/17.22 % (3633142)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2455353648:i=14155:bd=all_2961 on theBenchmark for (2961ds/14155Mi)
% 109.76/17.22 % (3633118)Instruction limit reached!
% 109.76/17.22 % (3633118)------------------------------
% 109.76/17.22 % (3633118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.76/17.22 % (3633118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.76/17.22 % (3633118)CaDiCaL version: 2.1.3
% 109.76/17.22 % (3633118)Termination reason: Instruction limit
% 109.76/17.22 % (3633118)Termination phase: Saturation
% 109.76/17.22 % (3633118)Time elapsed: 3.300 s
% 109.76/17.22 % (3633118)Peak memory usage: 200 MB
% 109.76/17.22 % (3633118)Instructions burned: 5203 (million)
% 109.76/17.22 % (3633144)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=312525240:i=667:av=off:fsr=off_2944 on theBenchmark for (2944ds/667Mi)
% 109.76/17.22 % (3633144)Instruction limit reached!
% 109.76/17.22 % (3633144)------------------------------
% 109.76/17.22 % (3633144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.76/17.22 % (3633144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.76/17.22 % (3633144)CaDiCaL version: 2.1.3
% 109.76/17.22 % (3633144)Termination reason: Instruction limit
% 109.76/17.22 % (3633144)Termination phase: NewCNF
% 109.76/17.22 % (3633144)Time elapsed: 0.510 s
% 109.76/17.22 % (3633144)Peak memory usage: 149 MB
% 109.76/17.22 % (3633144)Instructions burned: 668 (million)
% 109.76/17.22 % (3633146)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=852674636:s2a=on:i=185:s2at=1.8:fdi=4_2937 on theBenchmark for (2937ds/185Mi)
% 109.76/17.22 % (3633146)Instruction limit reached!
% 109.76/17.22 % (3633146)------------------------------
% 109.76/17.22 % (3633146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.76/17.22 % (3633146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.76/17.22 % (3633146)CaDiCaL version: 2.1.3
% 109.76/17.22 % (3633146)Termination reason: Instruction limit
% 109.76/17.22 % (3633146)Termination phase: SInE selection
% 109.76/17.22 % (3633146)Time elapsed: 0.145 s
% 109.76/17.22 % (3633146)Peak memory usage: 113 MB
% 109.76/17.22 % (3633146)Instructions burned: 185 (million)
% 109.76/17.22 % (3633148)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1353651996:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2933 on theBenchmark for (2933ds/193Mi)
% 109.76/17.22 % (3633148)Instruction limit reached!
% 109.76/17.22 % (3633148)------------------------------
% 109.76/17.22 % (3633148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.76/17.22 % (3633148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.76/17.22 % (3633148)CaDiCaL version: 2.1.3
% 109.76/17.22 % (3633148)Termination reason: Instruction limit
% 109.76/17.22 % (3633148)Termination phase: SInE selection
% 109.76/17.22 % (3633148)Time elapsed: 0.154 s
% 109.76/17.22 % (3633148)Peak memory usage: 112 MB
% 109.76/17.22 % (3633148)Instructions burned: 193 (million)
% 109.76/17.22 % (3633150)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=235906717:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2930 on theBenchmark for (2930ds/4850Mi)
% 109.76/17.22 % (3633124)Instruction limit reached!
% 109.76/17.22 % (3633124)------------------------------
% 109.76/17.22 % (3633124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.76/17.22 % (3633124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.76/17.22 % (3633124)CaDiCaL version: 2.1.3
% 109.76/17.22 % (3633124)Termination reason: Instruction limit
% 109.76/17.22 % (3633124)Termination phase: Saturation
% 109.76/17.22 % (3633124)Time elapsed: 4.520 s
% 109.76/17.22 % (3633124)Peak memory usage: 323 MB
% 109.76/17.22 % (3633124)Instructions burned: 13193 (million)
% 109.76/17.22 % (3633152)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=508868269:i=12111:sd=1:ss=included_2927 on theBenchmark for (2927ds/12111Mi)
% 109.76/17.22 % (3633135)Instruction limit reached!
% 109.76/17.22 % (3633135)------------------------------
% 109.76/17.22 % (3633135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.99/21.33 % (3633135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.99/21.33 % (3633135)CaDiCaL version: 2.1.3
% 138.99/21.33 % (3633135)Termination reason: Instruction limit
% 138.99/21.33 % (3633135)Termination phase: Saturation
% 138.99/21.33 % (3633135)Time elapsed: 4.568 s
% 138.99/21.33 % (3633135)Peak memory usage: 532 MB
% 138.99/21.33 % (3633135)Instructions burned: 6060 (million)
% 138.99/21.33 % (3633154)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1600987721:i=319:kws=precedence:fsr=off_2916 on theBenchmark for (2916ds/319Mi)
% 138.99/21.33 % (3633154)Instruction limit reached!
% 138.99/21.33 % (3633154)------------------------------
% 138.99/21.33 % (3633154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.99/21.33 % (3633154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.99/21.33 % (3633154)CaDiCaL version: 2.1.3
% 138.99/21.33 % (3633154)Termination reason: Instruction limit
% 138.99/21.33 % (3633154)Termination phase: Naming
% 138.99/21.33 % (3633154)Time elapsed: 0.258 s
% 138.99/21.33 % (3633154)Peak memory usage: 135 MB
% 138.99/21.33 % (3633154)Instructions burned: 320 (million)
% 138.99/21.33 % (3633156)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3913321191:i=2064:ep=RST_2911 on theBenchmark for (2911ds/2064Mi)
% 138.99/21.33 % (3633150)Instruction limit reached!
% 138.99/21.33 % (3633150)------------------------------
% 138.99/21.33 % (3633150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.99/21.33 % (3633150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.99/21.33 % (3633150)CaDiCaL version: 2.1.3
% 138.99/21.33 % (3633150)Termination reason: Instruction limit
% 138.99/21.33 % (3633150)Termination phase: Saturation
% 138.99/21.33 % (3633150)Time elapsed: 2.804 s
% 138.99/21.33 % (3633150)Peak memory usage: 217 MB
% 138.99/21.33 % (3633150)Instructions burned: 4851 (million)
% 138.99/21.33 % (3633158)dis-1011_128_sil=32000:random_seed=1525337594:i=3706:ep=RST:av=off_2900 on theBenchmark for (2900ds/3706Mi)
% 138.99/21.33 % (3633156)Instruction limit reached!
% 138.99/21.33 % (3633156)------------------------------
% 138.99/21.33 % (3633156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.99/21.33 % (3633156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.99/21.33 % (3633156)CaDiCaL version: 2.1.3
% 138.99/21.33 % (3633156)Termination reason: Instruction limit
% 138.99/21.33 % (3633156)Termination phase: Property scanning
% 138.99/21.33 % (3633156)Time elapsed: 1.122 s
% 138.99/21.33 % (3633156)Peak memory usage: 171 MB
% 138.99/21.33 % (3633156)Instructions burned: 2064 (million)
% 138.99/21.33 % (3633160)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=4164497687:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2898 on theBenchmark for (2898ds/757Mi)
% 138.99/21.33 % (3633160)Instruction limit reached!
% 138.99/21.33 % (3633160)------------------------------
% 138.99/21.33 % (3633160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.99/21.33 % (3633160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.99/21.33 % (3633160)CaDiCaL version: 2.1.3
% 138.99/21.33 % (3633160)Termination reason: Instruction limit
% 138.99/21.33 % (3633160)Termination phase: Saturation
% 138.99/21.33 % (3633160)Time elapsed: 0.584 s
% 138.99/21.33 % (3633160)Peak memory usage: 125 MB
% 138.99/21.33 % (3633160)Instructions burned: 758 (million)
% 138.99/21.33 % (3633162)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3340778397:i=13913:ss=axioms:sgt=8_2891 on theBenchmark for (2891ds/13913Mi)
% 138.99/21.33 % (3633158)Instruction limit reached!
% 138.99/21.33 % (3633158)------------------------------
% 138.99/21.33 % (3633158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.99/21.33 % (3633158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.99/21.33 % (3633158)CaDiCaL version: 2.1.3
% 138.99/21.33 % (3633158)Termination reason: Instruction limit
% 138.99/21.33 % (3633158)Termination phase: Saturation
% 138.99/21.33 % (3633158)Time elapsed: 1.871 s
% 138.99/21.33 % (3633158)Peak memory usage: 186 MB
% 138.99/21.33 % (3633158)Instructions burned: 3706 (million)
% 138.99/21.33 % (3633152)Instruction limit reached!
% 138.99/21.33 % (3633152)------------------------------
% 138.99/21.33 % (3633152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.99/21.33 % (3633152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633152)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633152)Termination reason: Instruction limit
% 104.72/23.52 % (3633152)Termination phase: Saturation
% 104.72/23.52 % (3633152)Time elapsed: 4.582 s
% 104.72/23.52 % (3633152)Peak memory usage: 295 MB
% 104.72/23.52 % (3633152)Instructions burned: 12112 (million)
% 104.72/23.52 % (3633165)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=42427879:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2879 on theBenchmark for (2879ds/2479Mi)
% 104.72/23.52 % (3633164)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2069862871:i=9925:aac=none_2880 on theBenchmark for (2880ds/9925Mi)
% 104.72/23.52 % (3633165)Instruction limit reached!
% 104.72/23.52 % (3633165)------------------------------
% 104.72/23.52 % (3633165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633165)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633165)Termination reason: Instruction limit
% 104.72/23.52 % (3633165)Termination phase: Saturation
% 104.72/23.52 % (3633165)Time elapsed: 0.873 s
% 104.72/23.52 % (3633165)Peak memory usage: 138 MB
% 104.72/23.52 % (3633165)Instructions burned: 2483 (million)
% 104.72/23.52 % (3633168)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1164000421:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2869 on theBenchmark for (2869ds/440Mi)
% 104.72/23.52 % (3633168)Instruction limit reached!
% 104.72/23.52 % (3633168)------------------------------
% 104.72/23.52 % (3633168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633168)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633168)Termination reason: Instruction limit
% 104.72/23.52 % (3633168)Termination phase: Property scanning
% 104.72/23.52 % (3633168)Time elapsed: 0.104 s
% 104.72/23.52 % (3633168)Peak memory usage: 112 MB
% 104.72/23.52 % (3633168)Instructions burned: 441 (million)
% 104.72/23.52 % (3633170)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2297120286:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2867 on theBenchmark for (2867ds/11145Mi)
% 104.72/23.52 % (3633142)Instruction limit reached!
% 104.72/23.52 % (3633142)------------------------------
% 104.72/23.52 % (3633142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633142)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633142)Termination reason: Instruction limit
% 104.72/23.52 % (3633142)Termination phase: Saturation
% 104.72/23.52 % (3633142)Time elapsed: 9.722 s
% 104.72/23.52 % (3633142)Peak memory usage: 760 MB
% 104.72/23.52 % (3633142)Instructions burned: 14156 (million)
% 104.72/23.52 % (3633172)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1843296705:cts=off:i=3034:av=off:er=known:fsd=on_2861 on theBenchmark for (2861ds/3034Mi)
% 104.72/23.52 % (3633172)Instruction limit reached!
% 104.72/23.52 % (3633172)------------------------------
% 104.72/23.52 % (3633172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633172)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633172)Termination reason: Instruction limit
% 104.72/23.52 % (3633172)Termination phase: Saturation
% 104.72/23.52 % (3633172)Time elapsed: 1.619 s
% 104.72/23.52 % (3633172)Peak memory usage: 190 MB
% 104.72/23.52 % (3633172)Instructions burned: 3034 (million)
% 104.72/23.52 % (3633174)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=757527274:st=2:s2a=on:i=524:s2at=2:ss=axioms_2843 on theBenchmark for (2843ds/524Mi)
% 104.72/23.52 % (3633174)Instruction limit reached!
% 104.72/23.52 % (3633174)------------------------------
% 104.72/23.52 % (3633174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633174)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633174)Termination reason: Instruction limit
% 104.72/23.52 % (3633174)Termination phase: Preprocessing 1
% 104.72/23.52 % (3633174)Time elapsed: 0.396 s
% 104.72/23.52 % (3633174)Peak memory usage: 114 MB
% 104.72/23.52 % (3633174)Instructions burned: 524 (million)
% 104.72/23.52 % (3633176)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=405876577:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2837 on theBenchmark for (2837ds/1016Mi)
% 104.72/23.52 % (3633176)Instruction limit reached!
% 104.72/23.52 % (3633176)------------------------------
% 104.72/23.52 % (3633176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633176)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633176)Termination reason: Instruction limit
% 104.72/23.52 % (3633176)Termination phase: Saturation
% 104.72/23.52 % (3633176)Time elapsed: 0.676 s
% 104.72/23.52 % (3633176)Peak memory usage: 130 MB
% 104.72/23.52 % (3633176)Instructions burned: 1017 (million)
% 104.72/23.52 % (3633178)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3403291762:i=14123:bd=preordered:ins=4_2829 on theBenchmark for (2829ds/14123Mi)
% 104.72/23.52 % (3633170)Instruction limit reached!
% 104.72/23.52 % (3633170)------------------------------
% 104.72/23.52 % (3633170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633170)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633170)Termination reason: Instruction limit
% 104.72/23.52 % (3633170)Termination phase: Saturation
% 104.72/23.52 % (3633170)Time elapsed: 4.135 s
% 104.72/23.52 % (3633170)Peak memory usage: 248 MB
% 104.72/23.52 % (3633170)Instructions burned: 11148 (million)
% 104.72/23.52 % (3633180)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=193974096:i=5781:kws=precedence:bd=all:rawr=on_2824 on theBenchmark for (2824ds/5781Mi)
% 104.72/23.52 % (3633164)Instruction limit reached!
% 104.72/23.52 % (3633164)------------------------------
% 104.72/23.52 % (3633164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633164)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633164)Termination reason: Instruction limit
% 104.72/23.52 % (3633164)Termination phase: Saturation
% 104.72/23.52 % (3633164)Time elapsed: 7.155 s
% 104.72/23.52 % (3633164)Peak memory usage: 740 MB
% 104.72/23.52 % (3633164)Instructions burned: 9928 (million)
% 104.72/23.52 % (3633180)Instruction limit reached!
% 104.72/23.52 % (3633180)------------------------------
% 104.72/23.52 % (3633180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633180)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633180)Termination reason: Instruction limit
% 104.72/23.52 % (3633180)Termination phase: Saturation
% 104.72/23.52 % (3633180)Time elapsed: 1.668 s
% 104.72/23.52 % (3633180)Peak memory usage: 197 MB
% 104.72/23.52 % (3633180)Instructions burned: 5782 (million)
% 104.72/23.52 % (3633183)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=2126879354:i=3223:kws=precedence:fgj=on:av=off_2806 on theBenchmark for (2806ds/3223Mi)
% 104.72/23.52 % (3633182)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=3353432026:i=2448:gtgl=5:bd=preordered:gtg=all_2806 on theBenchmark for (2806ds/2448Mi)
% 104.72/23.52 % (3633162)Instruction limit reached!
% 104.72/23.52 % (3633162)------------------------------
% 104.72/23.52 % (3633162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633162)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633162)Termination reason: Instruction limit
% 104.72/23.52 % (3633162)Termination phase: Saturation
% 104.72/23.52 % (3633162)Time elapsed: 8.909 s
% 104.72/23.52 % (3633162)Peak memory usage: 268 MB
% 104.72/23.52 % (3633162)Instructions burned: 13913 (million)
% 104.72/23.52 % (3633186)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=3002749446:st=5.6:i=2033:sd=3:ss=axioms_2800 on theBenchmark for (2800ds/2033Mi)
% 104.72/23.52 % (3633183)Instruction limit reached!
% 104.72/23.52 % (3633183)------------------------------
% 104.72/23.52 % (3633183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633183)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633183)Termination reason: Instruction limit
% 104.72/23.52 % (3633183)Termination phase: Saturation
% 104.72/23.52 % (3633183)Time elapsed: 1.029 s
% 104.72/23.52 % (3633183)Peak memory usage: 216 MB
% 104.72/23.52 % (3633183)Instructions burned: 3224 (million)
% 104.72/23.52 % (3633188)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=1282842947:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2794 on theBenchmark for (2794ds/2055Mi)
% 104.72/23.52 % (3633182)Instruction limit reached!
% 104.72/23.52 % (3633182)------------------------------
% 104.72/23.52 % (3633182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633182)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633182)Termination reason: Instruction limit
% 104.72/23.52 % (3633182)Termination phase: Function definition elimination
% 104.72/23.52 % (3633182)Time elapsed: 1.321 s
% 104.72/23.52 % (3633182)Peak memory usage: 168 MB
% 104.72/23.52 % (3633182)Instructions burned: 2449 (million)
% 104.72/23.52 % (3633190)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=3417986424:i=21611:sd=3:ss=axioms_2791 on theBenchmark for (2791ds/21611Mi)
% 104.72/23.52 % (3633188)Instruction limit reached!
% 104.72/23.52 % (3633188)------------------------------
% 104.72/23.52 % (3633188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633188)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633188)Termination reason: Instruction limit
% 104.72/23.52 % (3633188)Termination phase: Saturation
% 104.72/23.52 % (3633188)Time elapsed: 0.726 s
% 104.72/23.52 % (3633188)Peak memory usage: 179 MB
% 104.72/23.52 % (3633188)Instructions burned: 2057 (million)
% 104.72/23.52 % (3633186)Instruction limit reached!
% 104.72/23.52 % (3633186)------------------------------
% 104.72/23.52 % (3633186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633186)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633186)Termination reason: Instruction limit
% 104.72/23.52 % (3633186)Termination phase: Saturation
% 104.72/23.52 % (3633186)Time elapsed: 1.254 s
% 104.72/23.52 % (3633186)Peak memory usage: 169 MB
% 104.72/23.52 % (3633186)Instructions burned: 2034 (million)
% 104.72/23.52 % (3633192)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=1864386803:i=4835:sd=13:ss=axioms:sgt=23_2786 on theBenchmark for (2786ds/4835Mi)
% 104.72/23.52 % (3633193)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=2696416638:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2785 on theBenchmark for (2785ds/797Mi)
% 104.72/23.52 % (3633193)Instruction limit reached!
% 104.72/23.52 % (3633193)------------------------------
% 104.72/23.52 % (3633193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.72/23.52 % (3633193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.72/23.52 % (3633193)CaDiCaL version: 2.1.3
% 104.72/23.52 % (3633193)Termination reason: Instruction limit
% 104.72/23.52 % (3633193)Termination phase: NewCNF
% 104.72/23.52 % (3633193)Time elapsed: 0.630 s
% 104.72/23.52 % (3633193)Peak memory usage: 138 MB
% 104.72/23.52 % (3633193)Instructions burned: 797 (million)
% 104.72/23.52 % (3633190)First to succeed.
% 104.72/23.52 % (3633190)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3633078"
% 104.72/23.52 % (3633196)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=1224301404:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2777 on theBenchmark for (2777ds/2326Mi)
% 104.72/23.52 % (3633190)Refutation found. Thanks to Tanya!
% 104.72/23.52 % SZS status Theorem for theBenchmark
% 104.72/23.52 % SZS output start Proof for theBenchmark
% See solution above
% 154.51/23.62 % (3633190)------------------------------
% 154.51/23.62 % (3633190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.51/23.62 % (3633190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.51/23.62 % (3633190)CaDiCaL version: 2.1.3
% 154.51/23.62 % (3633190)Termination reason: Refutation
% 154.51/23.62 % (3633190)Time elapsed: 1.344 s
% 154.51/23.62 % (3633190)Peak memory usage: 183 MB
% 154.51/23.62 % (3633190)Instructions burned: 2010 (million)
% 154.51/23.62 % (3633190)------------------------------
% 154.51/23.62 % (3633190)------------------------------
% 154.51/23.62 % (3633078)Success in time 22.691 s
% 154.51/23.62 % Vampire exiting
%------------------------------------------------------------------------------