%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT290+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 11:46:35 AM UTC 2026
% Result : Theorem 24.62s 8.37s
% Output : Refutation 41.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 22
% Syntax : Number of formulae : 177 ( 22 unt; 1 def)
% Number of atoms : 851 ( 128 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1070 ( 396 ~; 507 |; 132 &)
% ( 17 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 2 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 4 con; 0-4 aty)
% Number of variables : 319 ( 0 sgn 289 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(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/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).
fof(f29,axiom,
! [X0] :
( X0 = k1_xboole_0
<=> ! [X1] : ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f32,axiom,
! [X0,X1,X2] :
( X2 = k4_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f76,axiom,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f81,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k2_xboole_0(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f106,axiom,
! [X0,X1] :
( k4_xboole_0(X0,X1) = k1_xboole_0
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(f419,axiom,
! [X0,X1] :
( ! [X2] :
( r2_hidden(X2,X0)
=> r1_tarski(X2,X1) )
=> r1_tarski(k3_tarski(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t94_zfmisc_1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f677,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
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/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f5011,axiom,
k5_complex1 = np__0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_complex1) ).
fof(f5328,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_card_1) ).
fof(f21511,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_filter_0) ).
fof(f21600,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f32146,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( r2_hidden(X0,k7_lopclset(X1))
<=> ? [X2] :
( m1_filter_0(X2,X1)
& X2 = X0
& v1_filter_0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lopclset) ).
fof(f32156,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_lopclset) ).
fof(f32157,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( r2_hidden(X0,k10_lopclset(X1))
<=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_lopclset) ).
fof(f32160,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( v1_filter_0(X2,X0)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& r2_hidden(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_lopclset) ).
fof(f32165,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k3_tarski(k10_lopclset(X0)) = k7_lopclset(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_lopclset) ).
fof(f32166,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k3_tarski(k10_lopclset(X0)) = k7_lopclset(X0) ),
inference(negated_conjecture,[status(cth)],[f32165]) ).
fof(f32531,plain,
? [X0] :
( k7_lopclset(X0) != k3_tarski(k10_lopclset(X0))
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f32166]) ).
fof(f32532,plain,
? [X0] :
( k7_lopclset(X0) != k3_tarski(k10_lopclset(X0))
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f32531]) ).
fof(f32581,plain,
! [X0,X1] :
( r1_tarski(k3_tarski(X0),X1)
| ? [X2] :
( ~ r1_tarski(X2,X1)
& r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f419]) ).
fof(f32593,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ v1_filter_0(X2,X0)
| r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f32160]) ).
fof(f32594,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ v1_filter_0(X2,X0)
| r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f32593]) ).
fof(f32595,plain,
! [X0,X1] :
( ( r2_hidden(X0,k10_lopclset(X1))
<=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) = X0 ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(ennf_transformation,[],[f32157]) ).
fof(f32596,plain,
! [X0,X1] :
( ( r2_hidden(X0,k10_lopclset(X1))
<=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) = X0 ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(flattening,[],[f32595]) ).
fof(f32597,plain,
! [X0] :
( r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f32156]) ).
fof(f32598,plain,
! [X0] :
( r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f32597]) ).
fof(f32599,plain,
! [X0,X1] :
( ( r2_hidden(X0,k7_lopclset(X1))
<=> ? [X2] :
( m1_filter_0(X2,X1)
& X2 = X0
& v1_filter_0(X2,X1) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(ennf_transformation,[],[f32146]) ).
fof(f32600,plain,
! [X0,X1] :
( ( r2_hidden(X0,k7_lopclset(X1))
<=> ? [X2] :
( m1_filter_0(X2,X1)
& X2 = X0
& v1_filter_0(X2,X1) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(flattening,[],[f32599]) ).
fof(f32629,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f32643,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(f32644,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f32643]) ).
fof(f32738,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f33505,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f34623,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21600]) ).
fof(f34624,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34623]) ).
fof(f34633,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21511]) ).
fof(f34634,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34633]) ).
fof(f42208,plain,
( k7_lopclset(sK341) != k3_tarski(k10_lopclset(sK341))
& ~ v3_struct_0(sK341)
& v10_lattices(sK341)
& v17_lattices(sK341)
& ~ v3_realset2(sK341)
& l3_lattices(sK341) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK341]),skolemize(X0,sK341)],[f32532]) ).
fof(f42240,plain,
! [X0,X1] :
( r1_tarski(k3_tarski(X0),X1)
| ( ~ r1_tarski(sK369(X0,X1),X1)
& r2_hidden(sK369(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK369]),skolemize(X2,sK369(X0,X1))],[f32581]) ).
fof(f42241,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(f42242,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,[],[f42241]) ).
fof(f42243,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ( ( ! [X3] :
( ~ r2_hidden(sK370(X0,X1),X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(sK370(X0,X1),X1) )
& ( ( r2_hidden(sK370(X0,X1),sK371(X0,X1))
& r2_hidden(sK371(X0,X1),X0) )
| r2_hidden(sK370(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ( r2_hidden(X5,sK372(X0,X5))
& r2_hidden(sK372(X0,X5),X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK370,sK371,sK372]),skolemize(X2,sK370(X0,X1)),skolemize(X4,sK371(X0,X1)),skolemize(X7,sK372(X0,X5))],[f42242]) ).
fof(f42246,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,k10_lopclset(X1))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) != X0 ) )
& ( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) = X0 )
| ~ r2_hidden(X0,k10_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(nnf_transformation,[],[f32596]) ).
fof(f42247,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,k10_lopclset(X1))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) != X0 ) )
& ( ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X3) = X0 )
| ~ r2_hidden(X0,k10_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(rectify,[],[f42246]) ).
fof(f42248,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,k10_lopclset(X1))
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) != X0 ) )
& ( ( m1_subset_1(sK375(X0,X1),u1_struct_0(X1))
& k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),sK375(X0,X1)) = X0 )
| ~ r2_hidden(X0,k10_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK375]),skolemize(X3,sK375(X0,X1))],[f42247]) ).
fof(f42249,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,k7_lopclset(X1))
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| X0 != X2
| ~ v1_filter_0(X2,X1) ) )
& ( ? [X2] :
( m1_filter_0(X2,X1)
& X2 = X0
& v1_filter_0(X2,X1) )
| ~ r2_hidden(X0,k7_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(nnf_transformation,[],[f32600]) ).
fof(f42250,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,k7_lopclset(X1))
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| X0 != X2
| ~ v1_filter_0(X2,X1) ) )
& ( ? [X3] :
( m1_filter_0(X3,X1)
& X0 = X3
& v1_filter_0(X3,X1) )
| ~ r2_hidden(X0,k7_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(rectify,[],[f42249]) ).
fof(f42251,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,k7_lopclset(X1))
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| X0 != X2
| ~ v1_filter_0(X2,X1) ) )
& ( ( m1_filter_0(sK376(X0,X1),X1)
& sK376(X0,X1) = X0
& v1_filter_0(sK376(X0,X1),X1) )
| ~ r2_hidden(X0,k7_lopclset(X1)) ) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK376]),skolemize(X3,sK376(X0,X1))],[f42250]) ).
fof(f42281,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f677]) ).
fof(f42309,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(f42310,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,[],[f42309]) ).
fof(f42311,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,[],[f32738]) ).
fof(f42312,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,[],[f42311]) ).
fof(f42313,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK413(X0,X1),X1)
& r2_hidden(sK413(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK413]),skolemize(X2,sK413(X0,X1))],[f42312]) ).
fof(f42588,plain,
! [X0,X1] :
( ( k4_xboole_0(X0,X1) = k1_xboole_0
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| k1_xboole_0 != k4_xboole_0(X0,X1) ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f42589,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f42590,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f42589]) ).
fof(f42591,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f42590]) ).
fof(f42592,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK566(X0,X1,X2),X0)
| r2_hidden(sK566(X0,X1,X2),X1)
| ~ r2_hidden(sK566(X0,X1,X2),X2) )
& ( ( r2_hidden(sK566(X0,X1,X2),X0)
& ~ r2_hidden(sK566(X0,X1,X2),X1) )
| r2_hidden(sK566(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK566]),skolemize(X3,sK566(X0,X1,X2))],[f42591]) ).
fof(f42746,plain,
! [X0] :
( ( X0 = k1_xboole_0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X1] : ~ r2_hidden(X1,X0)
| k1_xboole_0 != X0 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f42747,plain,
! [X0] :
( ( X0 = k1_xboole_0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(rectify,[],[f42746]) ).
fof(f42748,plain,
! [X0] :
( ( X0 = k1_xboole_0
| r2_hidden(sK693(X0),X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK693]),skolemize(X1,sK693(X0))],[f42747]) ).
fof(f43051,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(sK878(X0,X1),u1_struct_0(X0))
& r2_hidden(sK878(X0,X1),X1) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK878]),skolemize(X2,sK878(X0,X1))],[f34634]) ).
fof(f45629,plain,
l3_lattices(sK341),
inference(cnf_transformation,[],[f42208]) ).
fof(f45630,plain,
~ v3_realset2(sK341),
inference(cnf_transformation,[],[f42208]) ).
fof(f45631,plain,
v17_lattices(sK341),
inference(cnf_transformation,[],[f42208]) ).
fof(f45632,plain,
v10_lattices(sK341),
inference(cnf_transformation,[],[f42208]) ).
fof(f45633,plain,
~ v3_struct_0(sK341),
inference(cnf_transformation,[],[f42208]) ).
fof(f45634,plain,
k7_lopclset(sK341) != k3_tarski(k10_lopclset(sK341)),
inference(cnf_transformation,[],[f42208]) ).
fof(f45716,plain,
! [X0,X1] :
( r2_hidden(sK369(X0,X1),X0)
| r1_tarski(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f42240]) ).
fof(f45717,plain,
! [X0,X1] :
( ~ r1_tarski(sK369(X0,X1),X1)
| r1_tarski(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f42240]) ).
fof(f45725,plain,
! [X0,X1,X6,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f42243]) ).
fof(f45737,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
| ~ v1_filter_0(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ m1_filter_0(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f32594]) ).
fof(f45740,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k10_lopclset(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) != X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f42248]) ).
fof(f45741,plain,
! [X0] :
( r1_tarski(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f32598]) ).
fof(f45742,plain,
! [X0,X1] :
( v1_filter_0(sK376(X0,X1),X1)
| ~ r2_hidden(X0,k7_lopclset(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f42251]) ).
fof(f45743,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k7_lopclset(X1))
| sK376(X0,X1) = X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f42251]) ).
fof(f45744,plain,
! [X0,X1] :
( m1_filter_0(sK376(X0,X1),X1)
| ~ r2_hidden(X0,k7_lopclset(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f42251]) ).
fof(f45784,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f32629]) ).
fof(f45822,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f32644]) ).
fof(f45823,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f42281]) ).
fof(f45953,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f42310]) ).
fof(f45956,plain,
! [X0,X1] :
( r2_hidden(sK413(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f42313]) ).
fof(f45957,plain,
! [X0,X1] :
( ~ r2_hidden(sK413(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f42313]) ).
fof(f47049,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X1) = X1 ),
inference(cnf_transformation,[],[f33505]) ).
fof(f47054,plain,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f76]) ).
fof(f47158,plain,
! [X0,X1] :
( k1_xboole_0 = k4_xboole_0(X0,X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f42588]) ).
fof(f47168,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f42592]) ).
fof(f47230,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f5328]) ).
fof(f47781,plain,
! [X2,X0] :
( ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f42748]) ).
fof(f49405,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34624]) ).
fof(f49411,plain,
! [X0,X1] :
( r2_hidden(sK878(X0,X1),X1)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f43051]) ).
fof(f57089,plain,
np__0 = k5_complex1,
inference(cnf_transformation,[],[f5011]) ).
fof(f60321,plain,
k1_xboole_0 = k5_complex1,
inference(definition_unfolding,[],[f47230,f57089]) ).
fof(f60895,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,X1) = k5_complex1 ),
inference(definition_unfolding,[],[f47158,f60321]) ).
fof(f61353,plain,
! [X2,X0] :
( ~ r2_hidden(X2,X0)
| k5_complex1 != X0 ),
inference(definition_unfolding,[],[f47781,f60321]) ).
fof(f65932,plain,
! [X0,X6,X5] :
( ~ r2_hidden(X6,X0)
| ~ r2_hidden(X5,X6)
| r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f45725]) ).
fof(f65935,plain,
! [X2,X1] :
( r2_hidden(k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2),k10_lopclset(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1) ),
inference(equality_resolution,[],[f45740]) ).
fof(f66034,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f47168]) ).
fof(f66118,plain,
! [X2] : ~ r2_hidden(X2,k5_complex1),
inference(equality_resolution,[],[f61353]) ).
fof(f68824,plain,
! [X0,X1] :
( r1_tarski(k7_lopclset(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0)
| sK413(k7_lopclset(X0),X1) = sK376(sK413(k7_lopclset(X0),X1),X0) ),
inference(resolution,[],[f45743,f45956]) ).
fof(f68878,plain,
! [X2,X0,X1] :
( ~ m1_filter_0(X1,X2)
| m1_subset_1(X0,u1_struct_0(X2))
| ~ r2_hidden(X0,X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(resolution,[],[f45822,f49405]) ).
fof(f68902,plain,
! [X0,X1] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k2_xboole_0(k7_lopclset(X0),X1) = X1
| v3_realset2(X0)
| ~ l3_lattices(X0)
| sK413(k7_lopclset(X0),X1) = sK376(sK413(k7_lopclset(X0),X1),X0) ),
inference(resolution,[],[f47049,f68824]) ).
fof(f69065,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X0))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1))
| r2_hidden(X2,k3_tarski(k10_lopclset(X1))) ),
inference(resolution,[],[f65935,f65932]) ).
fof(f69556,plain,
! [X0] :
( ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k5_complex1 = k4_xboole_0(k10_lopclset(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f60895,f45741]) ).
fof(f69592,plain,
( v3_struct_0(sK341)
| ~ v10_lattices(sK341)
| k5_complex1 = k4_xboole_0(k10_lopclset(sK341),k1_zfmisc_1(k7_lopclset(sK341)))
| v3_realset2(sK341)
| ~ l3_lattices(sK341) ),
inference(resolution,[],[f69556,f45631]) ).
fof(f69593,plain,
( ~ v10_lattices(sK341)
| k5_complex1 = k4_xboole_0(k10_lopclset(sK341),k1_zfmisc_1(k7_lopclset(sK341)))
| v3_realset2(sK341)
| ~ l3_lattices(sK341) ),
inference(forward_subsumption_resolution,[],[f69592,f45633]) ).
fof(f69594,plain,
( k5_complex1 = k4_xboole_0(k10_lopclset(sK341),k1_zfmisc_1(k7_lopclset(sK341)))
| v3_realset2(sK341)
| ~ l3_lattices(sK341) ),
inference(forward_subsumption_resolution,[],[f69593,f45632]) ).
fof(f69595,plain,
( k5_complex1 = k4_xboole_0(k10_lopclset(sK341),k1_zfmisc_1(k7_lopclset(sK341)))
| ~ l3_lattices(sK341) ),
inference(forward_subsumption_resolution,[],[f69594,f45630]) ).
fof(f69596,plain,
k5_complex1 = k4_xboole_0(k10_lopclset(sK341),k1_zfmisc_1(k7_lopclset(sK341))),
inference(forward_subsumption_resolution,[],[f69595,f45629]) ).
fof(f69616,plain,
! [X2,X0,X1] :
( ~ v1_filter_0(X0,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_filter_0(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| r2_hidden(X0,k3_tarski(k10_lopclset(X1))) ),
inference(resolution,[],[f45737,f69065]) ).
fof(f69627,plain,
! [X2,X0,X1] :
( ~ v1_filter_0(X0,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_filter_0(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| r2_hidden(X0,k3_tarski(k10_lopclset(X1))) ),
inference(duplicate_literal_removal,[],[f69616]) ).
fof(f69637,plain,
! [X2,X0,X1] :
( ~ v1_filter_0(X0,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_filter_0(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| r2_hidden(X0,k3_tarski(k10_lopclset(X1))) ),
inference(forward_subsumption_resolution,[],[f69627,f68878]) ).
fof(f69729,plain,
! [X0] :
( v3_struct_0(sK341)
| ~ v10_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| sK413(k7_lopclset(sK341),X0) = sK376(sK413(k7_lopclset(sK341),X0),sK341) ),
inference(resolution,[],[f68902,f45631]) ).
fof(f69730,plain,
! [X0] :
( ~ v10_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| sK413(k7_lopclset(sK341),X0) = sK376(sK413(k7_lopclset(sK341),X0),sK341) ),
inference(forward_subsumption_resolution,[],[f69729,f45633]) ).
fof(f69731,plain,
! [X0] :
( k2_xboole_0(k7_lopclset(sK341),X0) = X0
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| sK413(k7_lopclset(sK341),X0) = sK376(sK413(k7_lopclset(sK341),X0),sK341) ),
inference(forward_subsumption_resolution,[],[f69730,f45632]) ).
fof(f69732,plain,
! [X0] :
( k2_xboole_0(k7_lopclset(sK341),X0) = X0
| ~ l3_lattices(sK341)
| sK413(k7_lopclset(sK341),X0) = sK376(sK413(k7_lopclset(sK341),X0),sK341) ),
inference(forward_subsumption_resolution,[],[f69731,f45630]) ).
fof(f69733,plain,
! [X0] :
( sK413(k7_lopclset(sK341),X0) = sK376(sK413(k7_lopclset(sK341),X0),sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69732,f45629]) ).
fof(f69734,plain,
! [X0] :
( v1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| ~ r2_hidden(sK413(k7_lopclset(sK341),X0),k7_lopclset(sK341))
| v3_struct_0(sK341)
| ~ v10_lattices(sK341)
| ~ v17_lattices(sK341)
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(superposition,[],[f45742,f69733]) ).
fof(f69735,plain,
! [X0] :
( m1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| ~ r2_hidden(sK413(k7_lopclset(sK341),X0),k7_lopclset(sK341))
| v3_struct_0(sK341)
| ~ v10_lattices(sK341)
| ~ v17_lattices(sK341)
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(superposition,[],[f45744,f69733]) ).
fof(f69736,plain,
! [X0] :
( m1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| ~ r2_hidden(sK413(k7_lopclset(sK341),X0),k7_lopclset(sK341))
| ~ v10_lattices(sK341)
| ~ v17_lattices(sK341)
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69735,f45633]) ).
fof(f69737,plain,
! [X0] :
( v1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| ~ r2_hidden(sK413(k7_lopclset(sK341),X0),k7_lopclset(sK341))
| ~ v10_lattices(sK341)
| ~ v17_lattices(sK341)
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69734,f45633]) ).
fof(f69738,plain,
! [X0] :
( m1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| ~ r2_hidden(sK413(k7_lopclset(sK341),X0),k7_lopclset(sK341))
| ~ v17_lattices(sK341)
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69736,f45632]) ).
fof(f69739,plain,
! [X0] :
( v1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| ~ r2_hidden(sK413(k7_lopclset(sK341),X0),k7_lopclset(sK341))
| ~ v17_lattices(sK341)
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69737,f45632]) ).
fof(f69740,plain,
! [X0] :
( m1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| ~ r2_hidden(sK413(k7_lopclset(sK341),X0),k7_lopclset(sK341))
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69738,f45631]) ).
fof(f69741,plain,
! [X0] :
( v1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| ~ r2_hidden(sK413(k7_lopclset(sK341),X0),k7_lopclset(sK341))
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69739,f45631]) ).
fof(f69742,plain,
! [X0] :
( m1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| ~ r2_hidden(sK413(k7_lopclset(sK341),X0),k7_lopclset(sK341))
| ~ l3_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69740,f45630]) ).
fof(f69743,plain,
! [X0] :
( v1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| ~ r2_hidden(sK413(k7_lopclset(sK341),X0),k7_lopclset(sK341))
| ~ l3_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69741,f45630]) ).
fof(f69744,plain,
! [X0] :
( ~ r2_hidden(sK413(k7_lopclset(sK341),X0),k7_lopclset(sK341))
| m1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69742,f45629]) ).
fof(f69745,plain,
! [X0] :
( ~ r2_hidden(sK413(k7_lopclset(sK341),X0),k7_lopclset(sK341))
| v1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69743,f45629]) ).
fof(f69746,plain,
! [X0] :
( m1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0
| r1_tarski(k7_lopclset(sK341),X0) ),
inference(resolution,[],[f69744,f45956]) ).
fof(f69748,plain,
! [X0] :
( m1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69746,f47049]) ).
fof(f69749,plain,
! [X0] :
( v1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0
| r1_tarski(k7_lopclset(sK341),X0) ),
inference(resolution,[],[f69745,f45956]) ).
fof(f69751,plain,
! [X0] :
( v1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69749,f47049]) ).
fof(f69765,plain,
! [X0,X1] :
( k2_xboole_0(k7_lopclset(sK341),X0) = X0
| ~ r2_hidden(X1,sK413(k7_lopclset(sK341),X0))
| ~ m1_filter_0(sK413(k7_lopclset(sK341),X0),sK341)
| v3_struct_0(sK341)
| ~ v10_lattices(sK341)
| ~ v17_lattices(sK341)
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341))) ),
inference(resolution,[],[f69751,f69637]) ).
fof(f69772,plain,
! [X0,X1] :
( k2_xboole_0(k7_lopclset(sK341),X0) = X0
| ~ r2_hidden(X1,sK413(k7_lopclset(sK341),X0))
| v3_struct_0(sK341)
| ~ v10_lattices(sK341)
| ~ v17_lattices(sK341)
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341))) ),
inference(forward_subsumption_resolution,[],[f69765,f69748]) ).
fof(f69776,plain,
! [X0,X1] :
( k2_xboole_0(k7_lopclset(sK341),X0) = X0
| ~ r2_hidden(X1,sK413(k7_lopclset(sK341),X0))
| ~ v10_lattices(sK341)
| ~ v17_lattices(sK341)
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341))) ),
inference(forward_subsumption_resolution,[],[f69772,f45633]) ).
fof(f69780,plain,
! [X0,X1] :
( k2_xboole_0(k7_lopclset(sK341),X0) = X0
| ~ r2_hidden(X1,sK413(k7_lopclset(sK341),X0))
| ~ v17_lattices(sK341)
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341))) ),
inference(forward_subsumption_resolution,[],[f69776,f45632]) ).
fof(f69784,plain,
! [X0,X1] :
( k2_xboole_0(k7_lopclset(sK341),X0) = X0
| ~ r2_hidden(X1,sK413(k7_lopclset(sK341),X0))
| v3_realset2(sK341)
| ~ l3_lattices(sK341)
| r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341))) ),
inference(forward_subsumption_resolution,[],[f69780,f45631]) ).
fof(f69787,plain,
! [X0,X1] :
( k2_xboole_0(k7_lopclset(sK341),X0) = X0
| ~ r2_hidden(X1,sK413(k7_lopclset(sK341),X0))
| ~ l3_lattices(sK341)
| r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341))) ),
inference(forward_subsumption_resolution,[],[f69784,f45630]) ).
fof(f69789,plain,
! [X0,X1] :
( ~ r2_hidden(X1,sK413(k7_lopclset(sK341),X0))
| k2_xboole_0(k7_lopclset(sK341),X0) = X0
| r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341))) ),
inference(forward_subsumption_resolution,[],[f69787,f45629]) ).
fof(f69795,plain,
! [X0,X1] :
( ~ m1_filter_0(sK413(k7_lopclset(sK341),X0),X1)
| r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341)))
| k2_xboole_0(k7_lopclset(sK341),X0) = X0
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f69789,f49411]) ).
fof(f69826,definition,
( spl2385_102
<=> k3_tarski(k10_lopclset(sK341)) = k2_xboole_0(k7_lopclset(sK341),k3_tarski(k10_lopclset(sK341))) ),
introduced(definition,[new_symbols(definition,[spl2385_102])],[avatar_definition]) ).
fof(f69827,plain,
( k3_tarski(k10_lopclset(sK341)) != k2_xboole_0(k7_lopclset(sK341),k3_tarski(k10_lopclset(sK341)))
| spl2385_102 ),
inference(avatar_component_clause,[],[f69826]) ).
fof(f69828,plain,
( k3_tarski(k10_lopclset(sK341)) = k2_xboole_0(k7_lopclset(sK341),k3_tarski(k10_lopclset(sK341)))
| ~ spl2385_102 ),
inference(avatar_component_clause,[],[f69826]) ).
fof(f69835,plain,
( r1_tarski(k7_lopclset(sK341),k3_tarski(k10_lopclset(sK341)))
| ~ spl2385_102 ),
inference(superposition,[],[f47054,f69828]) ).
fof(f69843,plain,
( ~ r1_tarski(k3_tarski(k10_lopclset(sK341)),k7_lopclset(sK341))
| k7_lopclset(sK341) = k3_tarski(k10_lopclset(sK341))
| ~ spl2385_102 ),
inference(resolution,[],[f69835,f45953]) ).
fof(f69844,plain,
( ~ r1_tarski(k3_tarski(k10_lopclset(sK341)),k7_lopclset(sK341))
| ~ spl2385_102 ),
inference(forward_subsumption_resolution,[],[f69843,f45634]) ).
fof(f69898,plain,
! [X0] :
( r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341)))
| k2_xboole_0(k7_lopclset(sK341),X0) = X0
| v3_struct_0(sK341)
| ~ v10_lattices(sK341)
| ~ l3_lattices(sK341)
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(resolution,[],[f69795,f69748]) ).
fof(f69899,plain,
! [X0] :
( r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341)))
| k2_xboole_0(k7_lopclset(sK341),X0) = X0
| v3_struct_0(sK341)
| ~ v10_lattices(sK341)
| ~ l3_lattices(sK341) ),
inference(duplicate_literal_removal,[],[f69898]) ).
fof(f69900,plain,
! [X0] :
( r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341)))
| k2_xboole_0(k7_lopclset(sK341),X0) = X0
| ~ v10_lattices(sK341)
| ~ l3_lattices(sK341) ),
inference(forward_subsumption_resolution,[],[f69899,f45633]) ).
fof(f69901,plain,
! [X0] :
( r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341)))
| k2_xboole_0(k7_lopclset(sK341),X0) = X0
| ~ l3_lattices(sK341) ),
inference(forward_subsumption_resolution,[],[f69900,f45632]) ).
fof(f69902,plain,
! [X0] :
( r2_hidden(sK413(k7_lopclset(sK341),X0),k3_tarski(k10_lopclset(sK341)))
| k2_xboole_0(k7_lopclset(sK341),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f69901,f45629]) ).
fof(f69903,plain,
( k3_tarski(k10_lopclset(sK341)) = k2_xboole_0(k7_lopclset(sK341),k3_tarski(k10_lopclset(sK341)))
| r1_tarski(k7_lopclset(sK341),k3_tarski(k10_lopclset(sK341))) ),
inference(resolution,[],[f69902,f45957]) ).
fof(f70047,plain,
! [X0] :
( r2_hidden(X0,k5_complex1)
| ~ r2_hidden(X0,k10_lopclset(sK341))
| r2_hidden(X0,k1_zfmisc_1(k7_lopclset(sK341))) ),
inference(superposition,[],[f66034,f69596]) ).
fof(f70048,plain,
! [X0] :
( r2_hidden(X0,k1_zfmisc_1(k7_lopclset(sK341)))
| ~ r2_hidden(X0,k10_lopclset(sK341)) ),
inference(forward_subsumption_resolution,[],[f70047,f66118]) ).
fof(f70052,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k7_lopclset(sK341)))
| ~ r2_hidden(X0,k10_lopclset(sK341)) ),
inference(resolution,[],[f70048,f45784]) ).
fof(f70099,plain,
! [X0] :
( ~ r2_hidden(X0,k10_lopclset(sK341))
| r1_tarski(X0,k7_lopclset(sK341)) ),
inference(resolution,[],[f70052,f45823]) ).
fof(f70109,plain,
! [X0] :
( r1_tarski(sK369(k10_lopclset(sK341),X0),k7_lopclset(sK341))
| r1_tarski(k3_tarski(k10_lopclset(sK341)),X0) ),
inference(resolution,[],[f70099,f45716]) ).
fof(f70119,plain,
( r1_tarski(k3_tarski(k10_lopclset(sK341)),k7_lopclset(sK341))
| r1_tarski(k3_tarski(k10_lopclset(sK341)),k7_lopclset(sK341)) ),
inference(resolution,[],[f70109,f45717]) ).
fof(f70126,plain,
r1_tarski(k3_tarski(k10_lopclset(sK341)),k7_lopclset(sK341)),
inference(duplicate_literal_removal,[],[f70119]) ).
fof(f70128,plain,
( $false
| ~ spl2385_102 ),
inference(forward_subsumption_resolution,[],[f70126,f69844]) ).
fof(f70129,plain,
~ spl2385_102,
inference(avatar_contradiction_clause,[],[f70128]) ).
fof(f70135,plain,
( r1_tarski(k7_lopclset(sK341),k3_tarski(k10_lopclset(sK341)))
| spl2385_102 ),
inference(forward_subsumption_resolution,[],[f69903,f69827]) ).
fof(f70142,plain,
( ~ r1_tarski(k7_lopclset(sK341),k3_tarski(k10_lopclset(sK341)))
| k7_lopclset(sK341) = k3_tarski(k10_lopclset(sK341)) ),
inference(resolution,[],[f70126,f45953]) ).
fof(f70143,plain,
( k7_lopclset(sK341) = k3_tarski(k10_lopclset(sK341))
| spl2385_102 ),
inference(forward_subsumption_resolution,[],[f70142,f70135]) ).
fof(f70146,plain,
( $false
| spl2385_102 ),
inference(forward_subsumption_resolution,[],[f70143,f45634]) ).
fof(f70147,plain,
spl2385_102,
inference(avatar_contradiction_clause,[],[f70146]) ).
cnf(s83,plain,
~ spl2385_102,
inference(sat_conversion,[],[f70129]) ).
cnf(s84,plain,
spl2385_102,
inference(sat_conversion,[],[f70147]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s83,s84]) ).
fof(f70153,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT290+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:11:27 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.16/5.03 % (2593630)Detected formulas, will run a generic FOF schedule.
% 16.16/5.03 % (2593635)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=1389948609:i=141193_2980 on theBenchmark for (2980ds/141193Mi)
% 16.16/5.03 % (2593636)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=1900975842:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2980 on theBenchmark for (2980ds/134677Mi)
% 16.16/5.03 % (2593638)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1807418593:i=109:sd=1:ins=1:gsp=on:ss=axioms_2980 on theBenchmark for (2980ds/109Mi)
% 16.16/5.03 % (2593637)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=107544263:i=141695:sd=1:nm=32:gsp=on:ss=included_2980 on theBenchmark for (2980ds/141695Mi)
% 16.16/5.03 % (2593640)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1443794253:s2a=on:i=139:gtg=position_2980 on theBenchmark for (2980ds/139Mi)
% 16.16/5.03 % (2593639)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=334423126:i=119:av=off:ss=axioms_2980 on theBenchmark for (2980ds/119Mi)
% 16.16/5.03 % (2593641)dis-21_1_sil=8000:lcm=predicate:random_seed=2061024736:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2980 on theBenchmark for (2980ds/129Mi)
% 16.16/5.03 % (2593640)Instruction limit reached!
% 16.16/5.03 % (2593640)------------------------------
% 16.16/5.03 % (2593640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.16/5.03 % (2593640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.16/5.03 % (2593640)CaDiCaL version: 2.1.3
% 16.16/5.03 % (2593640)Termination reason: Instruction limit
% 16.16/5.03 % (2593640)Termination phase: Property scanning
% 16.16/5.03 % (2593640)Time elapsed: 0.066 s
% 16.16/5.03 % (2593640)Peak memory usage: 132 MB
% 16.16/5.03 % (2593640)Instructions burned: 140 (million)
% 16.16/5.03 % (2593638)Instruction limit reached!
% 16.16/5.03 % (2593638)------------------------------
% 16.16/5.03 % (2593638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.16/5.03 % (2593638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.16/5.03 % (2593638)CaDiCaL version: 2.1.3
% 16.16/5.03 % (2593638)Termination reason: Instruction limit
% 16.16/5.03 % (2593638)Termination phase: SInE selection
% 16.16/5.03 % (2593638)Time elapsed: 0.083 s
% 16.16/5.03 % (2593638)Peak memory usage: 131 MB
% 16.16/5.03 % (2593638)Instructions burned: 109 (million)
% 16.16/5.03 % (2593639)Instruction limit reached!
% 16.16/5.03 % (2593639)------------------------------
% 16.16/5.03 % (2593639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.16/5.03 % (2593639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.16/5.03 % (2593639)CaDiCaL version: 2.1.3
% 16.16/5.03 % (2593639)Termination reason: Instruction limit
% 16.16/5.03 % (2593639)Termination phase: SInE selection
% 16.16/5.03 % (2593639)Time elapsed: 0.086 s
% 16.16/5.03 % (2593639)Peak memory usage: 132 MB
% 16.16/5.03 % (2593639)Instructions burned: 120 (million)
% 16.16/5.03 % (2593641)Instruction limit reached!
% 16.16/5.03 % (2593641)------------------------------
% 16.16/5.03 % (2593641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.16/5.03 % (2593641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.16/5.03 % (2593641)CaDiCaL version: 2.1.3
% 16.16/5.03 % (2593641)Termination reason: Instruction limit
% 16.16/5.03 % (2593641)Termination phase: SInE selection
% 16.16/5.03 % (2593641)Time elapsed: 0.095 s
% 16.16/5.03 % (2593641)Peak memory usage: 132 MB
% 16.16/5.03 % (2593641)Instructions burned: 129 (million)
% 16.16/5.03 % (2593649)lrs+10_1_sil=8000:sp=occurrence:random_seed=1371345980:i=285:sd=3:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/285Mi)
% 16.16/5.03 % (2593651)lrs+1011_1_sil=32000:sp=occurrence:random_seed=744636290:i=325:sd=1:ss=axioms:sgt=32_2977 on theBenchmark for (2977ds/325Mi)
% 16.16/5.03 % (2593650)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1254872800:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/157Mi)
% 16.16/5.03 % (2593652)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=1685130401:s2a=on:i=248:s2at=1.23:gtg=position_2977 on theBenchmark for (2977ds/248Mi)
% 16.16/5.03 % (2593650)Instruction limit reached!
% 24.90/6.09 % (2593650)------------------------------
% 24.90/6.09 % (2593650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.90/6.09 % (2593650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.90/6.09 % (2593650)CaDiCaL version: 2.1.3
% 24.90/6.09 % (2593650)Termination reason: Instruction limit
% 24.90/6.09 % (2593650)Termination phase: Property scanning
% 24.90/6.09 % (2593650)Time elapsed: 0.070 s
% 24.90/6.09 % (2593650)Peak memory usage: 132 MB
% 24.90/6.09 % (2593650)Instructions burned: 157 (million)
% 24.90/6.09 % (2593652)Instruction limit reached!
% 24.90/6.09 % (2593652)------------------------------
% 24.90/6.09 % (2593652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.90/6.09 % (2593652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.90/6.09 % (2593652)CaDiCaL version: 2.1.3
% 24.90/6.09 % (2593652)Termination reason: Instruction limit
% 24.90/6.09 % (2593652)Termination phase: Property scanning
% 24.90/6.09 % (2593652)Time elapsed: 0.109 s
% 24.90/6.09 % (2593652)Peak memory usage: 132 MB
% 24.90/6.09 % (2593652)Instructions burned: 250 (million)
% 24.90/6.09 % (2593649)Instruction limit reached!
% 24.90/6.09 % (2593649)------------------------------
% 24.90/6.09 % (2593649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.90/6.09 % (2593649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.90/6.09 % (2593649)CaDiCaL version: 2.1.3
% 24.90/6.09 % (2593649)Termination reason: Instruction limit
% 24.90/6.09 % (2593649)Termination phase: Saturation
% 24.90/6.09 % (2593649)Time elapsed: 0.215 s
% 24.90/6.09 % (2593649)Peak memory usage: 137 MB
% 24.90/6.09 % (2593649)Instructions burned: 286 (million)
% 24.90/6.09 % (2593657)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1007533164:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2975 on theBenchmark for (2975ds/294Mi)
% 24.90/6.09 % (2593651)Instruction limit reached!
% 24.90/6.09 % (2593651)------------------------------
% 24.90/6.09 % (2593651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.90/6.09 % (2593651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.90/6.09 % (2593651)CaDiCaL version: 2.1.3
% 24.90/6.09 % (2593651)Termination reason: Instruction limit
% 24.90/6.09 % (2593651)Termination phase: Saturation
% 24.90/6.09 % (2593651)Time elapsed: 0.252 s
% 24.90/6.09 % (2593651)Peak memory usage: 139 MB
% 24.90/6.09 % (2593651)Instructions burned: 325 (million)
% 24.90/6.09 % (2593658)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=982011196:i=2350_2974 on theBenchmark for (2974ds/2350Mi)
% 24.90/6.09 % (2593659)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=593407591:cts=off:i=113:fsr=off:ss=included:sgt=4_2974 on theBenchmark for (2974ds/113Mi)
% 24.90/6.09 % (2593661)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1686037142:i=127:av=off:fsr=off:sup=off_2973 on theBenchmark for (2973ds/127Mi)
% 24.90/6.09 % (2593657)Instruction limit reached!
% 24.90/6.09 % (2593657)------------------------------
% 24.90/6.09 % (2593657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.90/6.09 % (2593657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.90/6.09 % (2593657)CaDiCaL version: 2.1.3
% 24.90/6.09 % (2593657)Termination reason: Instruction limit
% 24.90/6.09 % (2593657)Termination phase: SInE selection
% 24.90/6.09 % (2593657)Time elapsed: 0.189 s
% 24.90/6.09 % (2593657)Peak memory usage: 132 MB
% 24.90/6.09 % (2593657)Instructions burned: 295 (million)
% 24.90/6.09 % (2593659)Instruction limit reached!
% 24.90/6.09 % (2593659)------------------------------
% 24.90/6.09 % (2593659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.90/6.09 % (2593659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.90/6.09 % (2593659)CaDiCaL version: 2.1.3
% 24.90/6.09 % (2593659)Termination reason: Instruction limit
% 24.90/6.09 % (2593659)Termination phase: SInE selection
% 24.90/6.09 % (2593659)Time elapsed: 0.085 s
% 24.90/6.09 % (2593659)Peak memory usage: 131 MB
% 24.90/6.09 % (2593659)Instructions burned: 114 (million)
% 24.90/6.09 % (2593661)Instruction limit reached!
% 24.90/6.09 % (2593661)------------------------------
% 24.90/6.09 % (2593661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.90/6.09 % (2593661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.90/6.09 % (2593661)CaDiCaL version: 2.1.3
% 24.90/6.09 % (2593661)Termination reason: Instruction limit
% 24.62/8.37 % (2593661)Termination phase: Preprocessing 1
% 24.62/8.37 % (2593661)Time elapsed: 0.096 s
% 24.62/8.37 % (2593661)Peak memory usage: 133 MB
% 24.62/8.37 % (2593661)Instructions burned: 128 (million)
% 24.62/8.37 % (2593665)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1593432153:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2972 on theBenchmark for (2972ds/114Mi)
% 24.62/8.37 % (2593666)lrs+10_1_sil=8000:sp=occurrence:random_seed=2709920432:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2972 on theBenchmark for (2972ds/907Mi)
% 24.62/8.37 % (2593665)Instruction limit reached!
% 24.62/8.37 % (2593665)------------------------------
% 24.62/8.37 % (2593665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/8.37 % (2593665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/8.37 % (2593665)CaDiCaL version: 2.1.3
% 24.62/8.37 % (2593665)Termination reason: Instruction limit
% 24.62/8.37 % (2593665)Termination phase: Property scanning
% 24.62/8.37 % (2593665)Time elapsed: 0.053 s
% 24.62/8.37 % (2593665)Peak memory usage: 132 MB
% 24.62/8.37 % (2593665)Instructions burned: 114 (million)
% 24.62/8.37 % (2593667)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3323441721:i=437:sd=1:aac=none:ss=included_2971 on theBenchmark for (2971ds/437Mi)
% 24.62/8.37 % (2593670)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2824358520:i=5202:ss=axioms:sgt=16_2970 on theBenchmark for (2970ds/5202Mi)
% 24.62/8.37 % (2593667)Refutation not found, incomplete strategy
% 24.62/8.37 % (2593667)------------------------------
% 24.62/8.37 % (2593667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/8.37 % (2593667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/8.37 % (2593667)CaDiCaL version: 2.1.3
% 24.62/8.37 % (2593667)Termination reason: Refutation not found, incomplete strategy
% 24.62/8.37 % (2593667)Time elapsed: 0.238 s
% 24.62/8.37 % (2593667)Peak memory usage: 139 MB
% 24.62/8.37 % (2593667)Instructions burned: 311 (million)
% 24.62/8.37 % (2593666)Instruction limit reached!
% 24.62/8.37 % (2593666)------------------------------
% 24.62/8.37 % (2593666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/8.37 % (2593666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/8.37 % (2593666)CaDiCaL version: 2.1.3
% 24.62/8.37 % (2593666)Termination reason: Instruction limit
% 24.62/8.37 % (2593666)Termination phase: Property scanning
% 24.62/8.37 % (2593666)Time elapsed: 0.570 s
% 24.62/8.37 % (2593666)Peak memory usage: 152 MB
% 24.62/8.37 % (2593666)Instructions burned: 908 (million)
% 24.62/8.37 % (2593667)------------------------------
% 24.62/8.37 % (2593667)------------------------------
% 24.62/8.37 % (2593673)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1811729715:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2965 on theBenchmark for (2965ds/134Mi)
% 24.62/8.37 % (2593674)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1214013315:st=8:i=592:sd=3:ep=RST:ss=axioms_2964 on theBenchmark for (2964ds/592Mi)
% 24.62/8.37 % (2593673)Instruction limit reached!
% 24.62/8.37 % (2593673)------------------------------
% 24.62/8.37 % (2593673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/8.37 % (2593673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/8.37 % (2593673)CaDiCaL version: 2.1.3
% 24.62/8.37 % (2593673)Termination reason: Instruction limit
% 24.62/8.37 % (2593673)Termination phase: SInE selection
% 24.62/8.37 % (2593673)Time elapsed: 0.103 s
% 24.62/8.37 % (2593673)Peak memory usage: 132 MB
% 24.62/8.37 % (2593673)Instructions burned: 135 (million)
% 24.62/8.37 % (2593677)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=464992754:st=3:i=13193:sd=3:ss=axioms_2962 on theBenchmark for (2962ds/13193Mi)
% 24.62/8.37 % (2593674)Instruction limit reached!
% 24.62/8.37 % (2593674)------------------------------
% 24.62/8.37 % (2593674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/8.37 % (2593674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/8.37 % (2593674)CaDiCaL version: 2.1.3
% 24.62/8.37 % (2593674)Termination reason: Instruction limit
% 24.62/8.37 % (2593674)Termination phase: Preprocessing 2
% 24.62/8.37 % (2593674)Time elapsed: 0.469 s
% 24.62/8.37 % (2593674)Peak memory usage: 146 MB
% 24.62/8.37 % (2593674)Instructions burned: 593 (million)
% 24.62/8.37 % (2593658)Instruction limit reached!
% 24.62/8.37 % (2593658)------------------------------
% 24.62/8.37 % (2593658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/8.37 % (2593658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/8.37 % (2593658)CaDiCaL version: 2.1.3
% 24.62/8.37 % (2593658)Termination reason: Instruction limit
% 24.62/8.37 % (2593658)Termination phase: Property scanning
% 24.62/8.37 % (2593658)Time elapsed: 1.519 s
% 24.62/8.37 % (2593658)Peak memory usage: 222 MB
% 24.62/8.37 % (2593658)Instructions burned: 2352 (million)
% 24.62/8.37 % (2593679)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=1720210679:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/125Mi)
% 24.62/8.37 % (2593680)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=441793454:i=134:gtgl=5:slsql=off:gtg=exists_sym_2958 on theBenchmark for (2958ds/134Mi)
% 24.62/8.37 % (2593679)Instruction limit reached!
% 24.62/8.37 % (2593679)------------------------------
% 24.62/8.37 % (2593679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/8.37 % (2593679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/8.37 % (2593679)CaDiCaL version: 2.1.3
% 24.62/8.37 % (2593679)Termination reason: Instruction limit
% 24.62/8.37 % (2593679)Termination phase: Property scanning
% 24.62/8.37 % (2593679)Time elapsed: 0.057 s
% 24.62/8.37 % (2593679)Peak memory usage: 132 MB
% 24.62/8.37 % (2593679)Instructions burned: 126 (million)
% 24.62/8.37 % (2593680)Instruction limit reached!
% 24.62/8.37 % (2593680)------------------------------
% 24.62/8.37 % (2593680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/8.37 % (2593680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/8.37 % (2593680)CaDiCaL version: 2.1.3
% 24.62/8.37 % (2593680)Termination reason: Instruction limit
% 24.62/8.37 % (2593680)Termination phase: Property scanning
% 24.62/8.37 % (2593680)Time elapsed: 0.059 s
% 24.62/8.37 % (2593680)Peak memory usage: 132 MB
% 24.62/8.37 % (2593680)Instructions burned: 134 (million)
% 24.62/8.37 % (2593683)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3625649463:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/141Mi)
% 24.62/8.37 % (2593684)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1675627962:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2956 on theBenchmark for (2956ds/431Mi)
% 24.62/8.37 % (2593683)Instruction limit reached!
% 24.62/8.37 % (2593683)------------------------------
% 24.62/8.37 % (2593683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/8.37 % (2593683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/8.37 % (2593683)CaDiCaL version: 2.1.3
% 24.62/8.37 % (2593683)Termination reason: Instruction limit
% 24.62/8.37 % (2593683)Termination phase: SInE selection
% 24.62/8.37 % (2593683)Time elapsed: 0.104 s
% 24.62/8.37 % (2593683)Peak memory usage: 132 MB
% 24.62/8.37 % (2593683)Instructions burned: 141 (million)
% 24.62/8.37 % (2593684)Refutation not found, incomplete strategy
% 24.62/8.37 % (2593684)------------------------------
% 24.62/8.37 % (2593684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/8.37 % (2593684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/8.37 % (2593684)CaDiCaL version: 2.1.3
% 24.62/8.37 % (2593684)Termination reason: Refutation not found, incomplete strategy
% 24.62/8.37 % (2593684)Time elapsed: 0.180 s
% 24.62/8.37 % (2593684)Peak memory usage: 137 MB
% 24.62/8.37 % (2593684)Instructions burned: 224 (million)
% 24.62/8.37 % (2593687)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=552494805:i=6060:aac=none:ins=25_2954 on theBenchmark for (2954ds/6060Mi)
% 24.62/8.37 % (2593684)------------------------------
% 24.62/8.37 % (2593684)------------------------------
% 24.62/8.37 % (2593689)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=1175656204:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2950 on theBenchmark for (2950ds/150Mi)
% 24.62/8.37 % (2593689)Instruction limit reached!
% 24.62/8.37 % (2593689)------------------------------
% 24.62/8.37 % (2593689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/8.37 % (2593689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/8.37 % (2593689)CaDiCaL version: 2.1.3
% 24.62/8.37 % (2593689)Termination reason: Instruction limit
% 24.62/8.37 % (2593689)Termination phase: SInE selection
% 24.62/8.37 % (2593689)Time elapsed: 0.114 s
% 24.62/8.37 % (2593689)Peak memory usage: 132 MB
% 24.62/8.37 % (2593689)Instructions burned: 150 (million)
% 24.62/8.37 % (2593691)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=482346921:i=14155:bd=all_2947 on theBenchmark for (2947ds/14155Mi)
% 24.62/8.37 % (2593670)Instruction limit reached!
% 24.62/8.37 % (2593670)------------------------------
% 24.62/8.37 % (2593670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.62/8.37 % (2593670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/8.37 % (2593670)CaDiCaL version: 2.1.3
% 24.62/8.37 % (2593670)Termination reason: Instruction limit
% 24.62/8.37 % (2593670)Termination phase: Saturation
% 24.62/8.37 % (2593670)Time elapsed: 4.034 s
% 24.62/8.37 % (2593670)Peak memory usage: 629 MB
% 24.62/8.37 % (2593670)Instructions burned: 5203 (million)
% 24.62/8.37 % (2593677)First to succeed.
% 24.62/8.37 % (2593677)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2593630"
% 24.62/8.37 % (2593693)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=594010052:i=667:av=off:fsr=off_2928 on theBenchmark for (2928ds/667Mi)
% 24.62/8.37 % (2593677)Refutation found. Thanks to Tanya!
% 24.62/8.37 % SZS status Theorem for theBenchmark
% 24.62/8.37 % SZS output start Proof for theBenchmark
% See solution above
% 41.05/8.48 % (2593677)------------------------------
% 41.05/8.48 % (2593677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.05/8.48 % (2593677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.05/8.48 % (2593677)CaDiCaL version: 2.1.3
% 41.05/8.48 % (2593677)Termination reason: Refutation
% 41.05/8.48 % (2593677)Time elapsed: 3.324 s
% 41.05/8.48 % (2593677)Peak memory usage: 322 MB
% 41.05/8.48 % (2593677)Instructions burned: 8218 (million)
% 41.05/8.48 % (2593677)------------------------------
% 41.05/8.48 % (2593677)------------------------------
% 41.05/8.48 % (2593630)Success in time 7.51 s
% 41.05/8.48 % Vampire exiting
%------------------------------------------------------------------------------