%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU434+2 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:49:01 PM UTC 2026
% Result : Theorem 155.09s 32.72s
% Output : Refutation 225.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 43
% Syntax : Number of formulae : 251 ( 57 unt; 27 def)
% Number of atoms : 1054 ( 110 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1452 ( 649 ~; 662 |; 89 &)
% ( 35 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 20 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 12 con; 0-5 aty)
% Number of variables : 406 ( 0 sgn 373 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( X1 = k1_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
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(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(f219,axiom,
! [X0] : k3_tarski(k1_tarski(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_zfmisc_1) ).
fof(f282,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(f531,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f532,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> k5_setfam_1(X0,X1) = k3_tarski(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f541,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(f712,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/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f715,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/sandbox2/benchmark/theBenchmark.p',t143_relat_1) ).
fof(f729,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t157_relat_1) ).
fof(f1120,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f4453,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
=> ( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& X0 = k9_relat_1(X5,X3)
& r2_hidden(X5,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_4_3_relset_2) ).
fof(f4508,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
=> k9_relat_1(k5_setfam_1(k2_zfmisc_1(X0,X1),X3),X2) = k3_tarski(a_4_3_relset_2(X0,X1,X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_relset_2) ).
fof(f4509,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
=> k9_relat_1(k5_setfam_1(k2_zfmisc_1(X0,X1),X3),X2) = k3_tarski(a_4_3_relset_2(X0,X1,X2,X3)) ) ),
inference(negated_conjecture,[status(cth)],[f4508]) ).
fof(f4524,plain,
? [X0,X1,X2] :
( ? [X3] :
( k9_relat_1(k5_setfam_1(k2_zfmisc_1(X0,X1),X3),X2) != k3_tarski(a_4_3_relset_2(X0,X1,X2,X3))
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4509]) ).
fof(f4537,plain,
! [X0,X1] :
( r1_tarski(k3_tarski(X0),X1)
| ? [X2] :
( ~ r1_tarski(X2,X1)
& r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f282]) ).
fof(f4543,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1120]) ).
fof(f4545,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f541]) ).
fof(f4546,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f4545]) ).
fof(f4582,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f532]) ).
fof(f4583,plain,
! [X0,X1] :
( m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f531]) ).
fof(f4628,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X2,X0))
| ~ r1_tarski(X1,X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f729]) ).
fof(f4629,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X2,X0))
| ~ r1_tarski(X1,X2)
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f4628]) ).
fof(f4644,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,[],[f715]) ).
fof(f4645,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,[],[f712]) ).
fof(f4646,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& X0 = k9_relat_1(X5,X3)
& r2_hidden(X5,X4) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(ennf_transformation,[],[f4453]) ).
fof(f4647,plain,
! [X0,X1,X2,X3,X4] :
( ( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
<=> ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& X0 = k9_relat_1(X5,X3)
& r2_hidden(X5,X4) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(flattening,[],[f4646]) ).
fof(f4718,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f5326,plain,
( k9_relat_1(k5_setfam_1(k2_zfmisc_1(sK8,sK9),sK11),sK10) != k3_tarski(a_4_3_relset_2(sK8,sK9,sK10,sK11))
& m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK8,sK9))))
& m1_subset_1(sK10,k1_zfmisc_1(sK8)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10),skolemize(X3,sK11)],[f4524]) ).
fof(f5336,plain,
! [X0,X1] :
( r1_tarski(k3_tarski(X0),X1)
| ( ~ r1_tarski(sK19(X0,X1),X1)
& r2_hidden(sK19(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X2,sK19(X0,X1))],[f4537]) ).
fof(f5337,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(f5338,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,[],[f5337]) ).
fof(f5339,plain,
! [X0,X1] :
( ( X1 = k3_tarski(X0)
| ( ( ! [X3] :
( ~ r2_hidden(sK20(X0,X1),X3)
| ~ r2_hidden(X3,X0) )
| ~ r2_hidden(sK20(X0,X1),X1) )
& ( ( r2_hidden(sK20(X0,X1),sK21(X0,X1))
& r2_hidden(sK21(X0,X1),X0) )
| r2_hidden(sK20(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ) )
& ( ( r2_hidden(X5,sK22(X0,X5))
& r2_hidden(sK22(X0,X5),X0) )
| ~ r2_hidden(X5,X1) ) )
| k3_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22]),skolemize(X2,sK20(X0,X1)),skolemize(X4,sK21(X0,X1)),skolemize(X7,sK22(X0,X5))],[f5338]) ).
fof(f5379,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,[],[f4644]) ).
fof(f5380,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,[],[f5379]) ).
fof(f5381,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(sK46(X0,X1,X2),k1_relat_1(X2))
& r2_hidden(k4_tarski(sK46(X0,X1,X2),X0),X2)
& r2_hidden(sK46(X0,X1,X2),X1) )
| ~ r2_hidden(X0,k9_relat_1(X2,X1)) ) )
| ~ v1_relat_1(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(X4,sK46(X0,X1,X2))],[f5380]) ).
fof(f5382,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,[],[f4645]) ).
fof(f5383,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,[],[f5382]) ).
fof(f5384,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,sK47(X0,X1,X2)),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(sK47(X0,X1,X2),X2) )
& ( ( r2_hidden(k4_tarski(sK48(X0,X1,X2),sK47(X0,X1,X2)),X0)
& r2_hidden(sK48(X0,X1,X2),X1) )
| r2_hidden(sK47(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(sK49(X0,X1,X6),X6),X0)
& r2_hidden(sK49(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,[sK47,sK48,sK49]),skolemize(X3,sK47(X0,X1,X2)),skolemize(X5,sK48(X0,X1,X2)),skolemize(X8,sK49(X0,X1,X6))],[f5383]) ).
fof(f5385,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relat_1(X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ? [X5] :
( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& X0 = k9_relat_1(X5,X3)
& r2_hidden(X5,X4) )
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4)) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(nnf_transformation,[],[f4647]) ).
fof(f5386,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relat_1(X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& k9_relat_1(X6,X3) = X0
& r2_hidden(X6,X4) )
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4)) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(rectify,[],[f5385]) ).
fof(f5387,plain,
! [X0,X1,X2,X3,X4] :
( ( ( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ! [X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relat_1(X5,X3) != X0
| ~ r2_hidden(X5,X4) ) )
& ( ( m1_subset_1(sK50(X0,X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& k9_relat_1(sK50(X0,X1,X2,X3,X4),X3) = X0
& r2_hidden(sK50(X0,X1,X2,X3,X4),X4) )
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4)) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(X6,sK50(X0,X1,X2,X3,X4))],[f5386]) ).
fof(f5414,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(f5415,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,[],[f5414]) ).
fof(f5416,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,[],[f4718]) ).
fof(f5417,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,[],[f5416]) ).
fof(f5418,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK69(X0,X1),X1)
& r2_hidden(sK69(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(X2,sK69(X0,X1))],[f5417]) ).
fof(f5466,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ r2_hidden(X2,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f5467,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(rectify,[],[f5466]) ).
fof(f5468,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ( ( sK89(X0,X1) != X0
| ~ r2_hidden(sK89(X0,X1),X1) )
& ( sK89(X0,X1) = X0
| r2_hidden(sK89(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89]),skolemize(X2,sK89(X0,X1))],[f5467]) ).
fof(f5632,plain,
m1_subset_1(sK10,k1_zfmisc_1(sK8)),
inference(cnf_transformation,[],[f5326]) ).
fof(f5633,plain,
m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))),
inference(cnf_transformation,[],[f5326]) ).
fof(f5634,plain,
k9_relat_1(k5_setfam_1(k2_zfmisc_1(sK8,sK9),sK11),sK10) != k3_tarski(a_4_3_relset_2(sK8,sK9,sK10,sK11)),
inference(cnf_transformation,[],[f5326]) ).
fof(f5659,plain,
! [X0,X1] :
( r2_hidden(sK19(X0,X1),X0)
| r1_tarski(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f5336]) ).
fof(f5660,plain,
! [X0,X1] :
( ~ r1_tarski(sK19(X0,X1),X1)
| r1_tarski(k3_tarski(X0),X1) ),
inference(cnf_transformation,[],[f5336]) ).
fof(f5664,plain,
! [X0] : k3_tarski(k1_tarski(X0)) = X0,
inference(cnf_transformation,[],[f219]) ).
fof(f5666,plain,
! [X0,X1,X5] :
( r2_hidden(sK22(X0,X5),X0)
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f5339]) ).
fof(f5667,plain,
! [X0,X1,X5] :
( r2_hidden(X5,sK22(X0,X5))
| ~ r2_hidden(X5,X1)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f5339]) ).
fof(f5668,plain,
! [X0,X1,X6,X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0)
| k3_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f5339]) ).
fof(f5680,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f4543]) ).
fof(f5682,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f4546]) ).
fof(f5751,plain,
! [X0,X1] :
( k3_tarski(X1) = k5_setfam_1(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f4582]) ).
fof(f5752,plain,
! [X0,X1] :
( m1_subset_1(k5_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f4583]) ).
fof(f5789,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X1,X0),k9_relat_1(X2,X0))
| ~ r1_tarski(X1,X2)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f4629]) ).
fof(f5804,plain,
! [X2,X0,X1] :
( r2_hidden(sK46(X0,X1,X2),X1)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f5381]) ).
fof(f5805,plain,
! [X2,X0,X1] :
( r2_hidden(k4_tarski(sK46(X0,X1,X2),X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,X1))
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f5381]) ).
fof(f5810,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,[],[f5384]) ).
fof(f5814,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(sK50(X0,X1,X2,X3,X4),X4)
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(cnf_transformation,[],[f5387]) ).
fof(f5815,plain,
! [X2,X3,X0,X1,X4] :
( k9_relat_1(sK50(X0,X1,X2,X3,X4),X3) = X0
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(cnf_transformation,[],[f5387]) ).
fof(f5816,plain,
! [X2,X3,X0,X1,X4] :
( m1_subset_1(sK50(X0,X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(cnf_transformation,[],[f5387]) ).
fof(f5817,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relat_1(X5,X3) != X0
| ~ r2_hidden(X5,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(cnf_transformation,[],[f5387]) ).
fof(f5931,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f5415]) ).
fof(f5934,plain,
! [X0,X1] :
( r2_hidden(sK69(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f5418]) ).
fof(f5935,plain,
! [X0,X1] :
( ~ r2_hidden(sK69(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f5418]) ).
fof(f6243,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| X0 != X3
| k1_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f5468]) ).
fof(f6846,plain,
! [X0,X6,X5] :
( r2_hidden(X5,k3_tarski(X0))
| ~ r2_hidden(X5,X6)
| ~ r2_hidden(X6,X0) ),
inference(equality_resolution,[],[f5668]) ).
fof(f6847,plain,
! [X0,X5] :
( r2_hidden(X5,sK22(X0,X5))
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f5667]) ).
fof(f6848,plain,
! [X0,X5] :
( r2_hidden(sK22(X0,X5),X0)
| ~ r2_hidden(X5,k3_tarski(X0)) ),
inference(equality_resolution,[],[f5666]) ).
fof(f6863,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,[],[f5810]) ).
fof(f6866,plain,
! [X2,X3,X1,X4,X5] :
( r2_hidden(k9_relat_1(X5,X3),a_4_3_relset_2(X1,X2,X3,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ r2_hidden(X5,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
inference(equality_resolution,[],[f5817]) ).
fof(f6900,plain,
! [X3,X1] :
( r2_hidden(X3,X1)
| k1_tarski(X3) != X1 ),
inference(equality_resolution,[],[f6243]) ).
fof(f6901,plain,
! [X3] : r2_hidden(X3,k1_tarski(X3)),
inference(equality_resolution,[],[f6900]) ).
fof(f6979,definition,
sF207 = k2_zfmisc_1(sK8,sK9),
introduced(definition,[new_symbols(definition,[sF207])],[function_definition]) ).
fof(f6980,plain,
k2_zfmisc_1(sK8,sK9) = sF207,
inference(reorient_equations,[],[f6979]) ).
fof(f6981,definition,
sF208 = k5_setfam_1(sF207,sK11),
introduced(definition,[new_symbols(definition,[sF208])],[function_definition]) ).
fof(f6982,plain,
k5_setfam_1(sF207,sK11) = sF208,
inference(reorient_equations,[],[f6981]) ).
fof(f6983,definition,
sF209 = k9_relat_1(sF208,sK10),
introduced(definition,[new_symbols(definition,[sF209])],[function_definition]) ).
fof(f6984,plain,
k9_relat_1(sF208,sK10) = sF209,
inference(reorient_equations,[],[f6983]) ).
fof(f6985,definition,
sF210 = a_4_3_relset_2(sK8,sK9,sK10,sK11),
introduced(definition,[new_symbols(definition,[sF210])],[function_definition]) ).
fof(f6986,plain,
a_4_3_relset_2(sK8,sK9,sK10,sK11) = sF210,
inference(reorient_equations,[],[f6985]) ).
fof(f6987,definition,
sF211 = k3_tarski(sF210),
introduced(definition,[new_symbols(definition,[sF211])],[function_definition]) ).
fof(f6988,plain,
k3_tarski(sF210) = sF211,
inference(reorient_equations,[],[f6987]) ).
fof(f6989,plain,
sF209 != sF211,
inference(definition_folding,[],[f5634,f6988,f6986,f6984,f6982,f6980]) ).
fof(f6990,definition,
sF212 = k1_zfmisc_1(sF207),
introduced(definition,[new_symbols(definition,[sF212])],[function_definition]) ).
fof(f6991,plain,
k1_zfmisc_1(sF207) = sF212,
inference(reorient_equations,[],[f6990]) ).
fof(f6992,definition,
sF213 = k1_zfmisc_1(sF212),
introduced(definition,[new_symbols(definition,[sF213])],[function_definition]) ).
fof(f6993,plain,
k1_zfmisc_1(sF212) = sF213,
inference(reorient_equations,[],[f6992]) ).
fof(f6994,plain,
m1_subset_1(sK11,sF213),
inference(definition_folding,[],[f5633,f6993,f6991,f6980]) ).
fof(f6995,definition,
sF214 = k1_zfmisc_1(sK8),
introduced(definition,[new_symbols(definition,[sF214])],[function_definition]) ).
fof(f6996,plain,
k1_zfmisc_1(sK8) = sF214,
inference(reorient_equations,[],[f6995]) ).
fof(f6997,plain,
m1_subset_1(sK10,sF214),
inference(definition_folding,[],[f5632,f6996]) ).
fof(f7290,definition,
( spl215_58
<=> m1_subset_1(sK10,sF214) ),
introduced(definition,[new_symbols(definition,[spl215_58])],[avatar_definition]) ).
fof(f7292,plain,
( m1_subset_1(sK10,sF214)
| ~ spl215_58 ),
inference(avatar_component_clause,[],[f7290]) ).
fof(f7293,plain,
spl215_58,
inference(avatar_split_clause,[],[f6997,f7290]) ).
fof(f7295,definition,
( spl215_59
<=> m1_subset_1(sK11,sF213) ),
introduced(definition,[new_symbols(definition,[spl215_59])],[avatar_definition]) ).
fof(f7298,plain,
spl215_59,
inference(avatar_split_clause,[],[f6994,f7295]) ).
fof(f7300,definition,
( spl215_60
<=> sF209 = sF211 ),
introduced(definition,[new_symbols(definition,[spl215_60])],[avatar_definition]) ).
fof(f7302,plain,
( sF209 != sF211
| spl215_60 ),
inference(avatar_component_clause,[],[f7300]) ).
fof(f7303,plain,
~ spl215_60,
inference(avatar_split_clause,[],[f6989,f7300]) ).
fof(f7305,definition,
( spl215_61
<=> k2_zfmisc_1(sK8,sK9) = sF207 ),
introduced(definition,[new_symbols(definition,[spl215_61])],[avatar_definition]) ).
fof(f7307,plain,
( k2_zfmisc_1(sK8,sK9) = sF207
| ~ spl215_61 ),
inference(avatar_component_clause,[],[f7305]) ).
fof(f7308,plain,
spl215_61,
inference(avatar_split_clause,[],[f6980,f7305]) ).
fof(f7310,definition,
( spl215_62
<=> k5_setfam_1(sF207,sK11) = sF208 ),
introduced(definition,[new_symbols(definition,[spl215_62])],[avatar_definition]) ).
fof(f7312,plain,
( k5_setfam_1(sF207,sK11) = sF208
| ~ spl215_62 ),
inference(avatar_component_clause,[],[f7310]) ).
fof(f7313,plain,
spl215_62,
inference(avatar_split_clause,[],[f6982,f7310]) ).
fof(f7315,definition,
( spl215_63
<=> k9_relat_1(sF208,sK10) = sF209 ),
introduced(definition,[new_symbols(definition,[spl215_63])],[avatar_definition]) ).
fof(f7317,plain,
( k9_relat_1(sF208,sK10) = sF209
| ~ spl215_63 ),
inference(avatar_component_clause,[],[f7315]) ).
fof(f7318,plain,
spl215_63,
inference(avatar_split_clause,[],[f6984,f7315]) ).
fof(f7320,definition,
( spl215_64
<=> a_4_3_relset_2(sK8,sK9,sK10,sK11) = sF210 ),
introduced(definition,[new_symbols(definition,[spl215_64])],[avatar_definition]) ).
fof(f7322,plain,
( a_4_3_relset_2(sK8,sK9,sK10,sK11) = sF210
| ~ spl215_64 ),
inference(avatar_component_clause,[],[f7320]) ).
fof(f7323,plain,
spl215_64,
inference(avatar_split_clause,[],[f6986,f7320]) ).
fof(f7325,definition,
( spl215_65
<=> k3_tarski(sF210) = sF211 ),
introduced(definition,[new_symbols(definition,[spl215_65])],[avatar_definition]) ).
fof(f7327,plain,
( k3_tarski(sF210) = sF211
| ~ spl215_65 ),
inference(avatar_component_clause,[],[f7325]) ).
fof(f7328,plain,
spl215_65,
inference(avatar_split_clause,[],[f6988,f7325]) ).
fof(f7330,definition,
( spl215_66
<=> k1_zfmisc_1(sF207) = sF212 ),
introduced(definition,[new_symbols(definition,[spl215_66])],[avatar_definition]) ).
fof(f7332,plain,
( k1_zfmisc_1(sF207) = sF212
| ~ spl215_66 ),
inference(avatar_component_clause,[],[f7330]) ).
fof(f7333,plain,
spl215_66,
inference(avatar_split_clause,[],[f6991,f7330]) ).
fof(f7335,definition,
( spl215_67
<=> k1_zfmisc_1(sF212) = sF213 ),
introduced(definition,[new_symbols(definition,[spl215_67])],[avatar_definition]) ).
fof(f7338,plain,
spl215_67,
inference(avatar_split_clause,[],[f6993,f7335]) ).
fof(f7340,definition,
( spl215_68
<=> k1_zfmisc_1(sK8) = sF214 ),
introduced(definition,[new_symbols(definition,[spl215_68])],[avatar_definition]) ).
fof(f7342,plain,
( k1_zfmisc_1(sK8) = sF214
| ~ spl215_68 ),
inference(avatar_component_clause,[],[f7340]) ).
fof(f7343,plain,
spl215_68,
inference(avatar_split_clause,[],[f6996,f7340]) ).
fof(f7345,plain,
( ! [X0] :
( r2_hidden(k9_relat_1(X0,sK10),sF210)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| ~ r2_hidden(X0,sK11)
| ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))) )
| ~ spl215_64 ),
inference(superposition,[],[f6866,f7322]) ).
fof(f7346,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF207))
| r2_hidden(k9_relat_1(X0,sK10),sF210)
| ~ r2_hidden(X0,sK11)
| ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))) )
| ~ spl215_61
| ~ spl215_64 ),
inference(forward_demodulation,[],[f7345,f7307]) ).
fof(f7347,plain,
( ! [X0] :
( ~ m1_subset_1(sK10,sF214)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF207))
| r2_hidden(k9_relat_1(X0,sK10),sF210)
| ~ r2_hidden(X0,sK11)
| ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))) )
| ~ spl215_61
| ~ spl215_64
| ~ spl215_68 ),
inference(forward_demodulation,[],[f7346,f7342]) ).
fof(f7348,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF207))
| r2_hidden(k9_relat_1(X0,sK10),sF210)
| ~ r2_hidden(X0,sK11)
| ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))) )
| ~ spl215_58
| ~ spl215_61
| ~ spl215_64
| ~ spl215_68 ),
inference(forward_subsumption_resolution,[],[f7347,f7292]) ).
fof(f7349,plain,
( ! [X0] :
( ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(sF207)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sF207))
| r2_hidden(k9_relat_1(X0,sK10),sF210)
| ~ r2_hidden(X0,sK11) )
| ~ spl215_58
| ~ spl215_61
| ~ spl215_64
| ~ spl215_68 ),
inference(forward_demodulation,[],[f7348,f7307]) ).
fof(f7351,definition,
( spl215_69
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF207))
| ~ r2_hidden(X0,sK11)
| r2_hidden(k9_relat_1(X0,sK10),sF210) ) ),
introduced(definition,[new_symbols(definition,[spl215_69])],[avatar_definition]) ).
fof(f7352,plain,
( ! [X0] :
( r2_hidden(k9_relat_1(X0,sK10),sF210)
| ~ r2_hidden(X0,sK11)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF207)) )
| ~ spl215_69 ),
inference(avatar_component_clause,[],[f7351]) ).
fof(f7354,definition,
( spl215_70
<=> m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(sF207))) ),
introduced(definition,[new_symbols(definition,[spl215_70])],[avatar_definition]) ).
fof(f7355,plain,
( m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(sF207)))
| ~ spl215_70 ),
inference(avatar_component_clause,[],[f7354]) ).
fof(f7357,plain,
( spl215_69
| ~ spl215_70
| ~ spl215_58
| ~ spl215_61
| ~ spl215_64
| ~ spl215_68 ),
inference(avatar_split_clause,[],[f7349,f7340,f7320,f7305,f7290,f7354,f7351]) ).
fof(f7358,plain,
( k1_zfmisc_1(sF207) != sF212
| k1_zfmisc_1(sF212) != sF213
| m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(sF207)))
| ~ m1_subset_1(sK11,sF213) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f7382,plain,
( sF208 = k3_tarski(sK11)
| ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(sF207)))
| ~ spl215_62 ),
inference(superposition,[],[f5751,f7312]) ).
fof(f7383,plain,
( sF208 = k3_tarski(sK11)
| ~ spl215_62
| ~ spl215_70 ),
inference(forward_subsumption_resolution,[],[f7382,f7355]) ).
fof(f7386,definition,
( spl215_75
<=> sF208 = k3_tarski(sK11) ),
introduced(definition,[new_symbols(definition,[spl215_75])],[avatar_definition]) ).
fof(f7388,plain,
( sF208 = k3_tarski(sK11)
| ~ spl215_75 ),
inference(avatar_component_clause,[],[f7386]) ).
fof(f7389,plain,
( spl215_75
| ~ spl215_62
| ~ spl215_70 ),
inference(avatar_split_clause,[],[f7383,f7354,f7310,f7386]) ).
fof(f7392,plain,
( m1_subset_1(sF208,k1_zfmisc_1(sF207))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(sF207)))
| ~ spl215_62 ),
inference(superposition,[],[f5752,f7312]) ).
fof(f7398,plain,
( m1_subset_1(sF208,k1_zfmisc_1(sF207))
| ~ spl215_62
| ~ spl215_70 ),
inference(forward_subsumption_resolution,[],[f7392,f7355]) ).
fof(f7399,plain,
( m1_subset_1(sF208,sF212)
| ~ spl215_62
| ~ spl215_66
| ~ spl215_70 ),
inference(forward_demodulation,[],[f7398,f7332]) ).
fof(f7401,definition,
( spl215_76
<=> m1_subset_1(sF208,sF212) ),
introduced(definition,[new_symbols(definition,[spl215_76])],[avatar_definition]) ).
fof(f7403,plain,
( m1_subset_1(sF208,sF212)
| ~ spl215_76 ),
inference(avatar_component_clause,[],[f7401]) ).
fof(f7404,plain,
( spl215_76
| ~ spl215_62
| ~ spl215_66
| ~ spl215_70 ),
inference(avatar_split_clause,[],[f7399,f7354,f7330,f7310,f7401]) ).
fof(f7409,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF207))
| v1_relat_1(X0) )
| ~ spl215_61 ),
inference(superposition,[],[f5680,f7307]) ).
fof(f7410,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF212)
| v1_relat_1(X0) )
| ~ spl215_61
| ~ spl215_66 ),
inference(forward_demodulation,[],[f7409,f7332]) ).
fof(f7426,plain,
! [X2,X3,X0,X1,X4] :
( r2_hidden(X1,k9_relat_1(k3_tarski(X3),X4))
| ~ r2_hidden(X2,X3)
| ~ r2_hidden(k4_tarski(X0,X1),X2)
| ~ r2_hidden(X0,X4)
| ~ v1_relat_1(k3_tarski(X3)) ),
inference(resolution,[],[f6846,f6863]) ).
fof(f7427,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sF210)
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,sF211) )
| ~ spl215_65 ),
inference(superposition,[],[f6846,f7327]) ).
fof(f7428,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK11)
| ~ r2_hidden(X0,X1)
| r2_hidden(X0,sF208) )
| ~ spl215_75 ),
inference(superposition,[],[f6846,f7388]) ).
fof(f7430,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X0,sK50(X1,X2,X3,X4,sK11))
| r2_hidden(X0,sF208)
| ~ r2_hidden(X1,a_4_3_relset_2(X2,X3,X4,sK11))
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))) )
| ~ spl215_75 ),
inference(resolution,[],[f7428,f5814]) ).
fof(f7433,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(X1,sK10))
| r2_hidden(X0,sF211)
| ~ r2_hidden(X1,sK11)
| ~ m1_subset_1(X1,k1_zfmisc_1(sF207)) )
| ~ spl215_65
| ~ spl215_69 ),
inference(resolution,[],[f7427,f7352]) ).
fof(f7437,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(X1,sK10))
| ~ m1_subset_1(X1,sF212)
| r2_hidden(X0,sF211)
| ~ r2_hidden(X1,sK11) )
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69 ),
inference(forward_demodulation,[],[f7433,f7332]) ).
fof(f7443,definition,
( spl215_78
<=> ! [X0] :
( ~ r2_hidden(X0,sF209)
| r2_hidden(X0,sF211) ) ),
introduced(definition,[new_symbols(definition,[spl215_78])],[avatar_definition]) ).
fof(f7444,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF209)
| r2_hidden(X0,sF211) )
| ~ spl215_78 ),
inference(avatar_component_clause,[],[f7443]) ).
fof(f7446,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,X4))
| v1_relat_1(sK50(X0,X1,X2,X3,X4)) ),
inference(resolution,[],[f5816,f5680]) ).
fof(f7462,plain,
( v1_relat_1(sF208)
| ~ spl215_61
| ~ spl215_66
| ~ spl215_76 ),
inference(resolution,[],[f7403,f7410]) ).
fof(f7464,definition,
( spl215_79
<=> v1_relat_1(sF208) ),
introduced(definition,[new_symbols(definition,[spl215_79])],[avatar_definition]) ).
fof(f7466,plain,
( v1_relat_1(sF208)
| ~ spl215_79 ),
inference(avatar_component_clause,[],[f7464]) ).
fof(f7467,plain,
( spl215_79
| ~ spl215_61
| ~ spl215_66
| ~ spl215_76 ),
inference(avatar_split_clause,[],[f7462,f7401,f7330,f7305,f7464]) ).
fof(f7550,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK11)
| m1_subset_1(X0,k1_zfmisc_1(sF207)) )
| ~ spl215_70 ),
inference(resolution,[],[f5682,f7355]) ).
fof(f7556,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK11)
| m1_subset_1(X0,sF212) )
| ~ spl215_66
| ~ spl215_70 ),
inference(forward_demodulation,[],[f7550,f7332]) ).
fof(f8500,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(X0,sK10),sF209)
| ~ r1_tarski(X0,sF208)
| ~ v1_relat_1(sF208)
| ~ v1_relat_1(X0) )
| ~ spl215_63 ),
inference(superposition,[],[f5789,f7317]) ).
fof(f8501,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(X0,sK10),sF209)
| ~ r1_tarski(X0,sF208)
| ~ v1_relat_1(X0) )
| ~ spl215_63
| ~ spl215_79 ),
inference(forward_subsumption_resolution,[],[f8500,f7466]) ).
fof(f9111,plain,
( ! [X2,X3,X0,X1,X4] :
( r2_hidden(sK69(sK50(X0,X1,X2,X3,sK11),X4),sF208)
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,sK11))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| r1_tarski(sK50(X0,X1,X2,X3,sK11),X4) )
| ~ spl215_75 ),
inference(resolution,[],[f7430,f5934]) ).
fof(f11747,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(k4_tarski(X2,X3),X0)
| ~ r2_hidden(X2,sK10)
| ~ v1_relat_1(k3_tarski(X1))
| ~ m1_subset_1(k3_tarski(X1),sF212)
| r2_hidden(X3,sF211)
| ~ r2_hidden(k3_tarski(X1),sK11) )
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69 ),
inference(resolution,[],[f7426,f7437]) ).
fof(f11796,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(k4_tarski(X2,X3),X0)
| ~ r2_hidden(X2,sK10)
| ~ m1_subset_1(k3_tarski(X1),sF212)
| r2_hidden(X3,sF211)
| ~ r2_hidden(k3_tarski(X1),sK11) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69 ),
inference(forward_subsumption_resolution,[],[f11747,f7410]) ).
fof(f11799,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X2,X3),X0)
| ~ r2_hidden(X0,X1)
| ~ r2_hidden(X2,sK10)
| r2_hidden(X3,sF211)
| ~ r2_hidden(k3_tarski(X1),sK11) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70 ),
inference(forward_subsumption_resolution,[],[f11796,f7556]) ).
fof(f11902,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(sK22(X0,k4_tarski(X1,X2)),X3)
| ~ r2_hidden(X1,sK10)
| r2_hidden(X2,sF211)
| ~ r2_hidden(k3_tarski(X3),sK11)
| ~ r2_hidden(k4_tarski(X1,X2),k3_tarski(X0)) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70 ),
inference(resolution,[],[f11799,f6847]) ).
fof(f11994,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10)
| r2_hidden(X1,sF211)
| ~ r2_hidden(k3_tarski(k1_tarski(sK22(X2,k4_tarski(X0,X1)))),sK11)
| ~ r2_hidden(k4_tarski(X0,X1),k3_tarski(X2)) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70 ),
inference(resolution,[],[f11902,f6901]) ).
fof(f12016,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(sK22(X2,k4_tarski(X0,X1)),sK11)
| ~ r2_hidden(X0,sK10)
| r2_hidden(X1,sF211)
| ~ r2_hidden(k4_tarski(X0,X1),k3_tarski(X2)) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70 ),
inference(forward_demodulation,[],[f11994,f5664]) ).
fof(f12093,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK10)
| r2_hidden(X1,sF211)
| ~ r2_hidden(k4_tarski(X0,X1),k3_tarski(sK11))
| ~ r2_hidden(k4_tarski(X0,X1),k3_tarski(sK11)) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70 ),
inference(resolution,[],[f12016,f6848]) ).
fof(f12095,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK10)
| r2_hidden(X1,sF211)
| ~ r2_hidden(k4_tarski(X0,X1),k3_tarski(sK11)) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70 ),
inference(duplicate_literal_removal,[],[f12093]) ).
fof(f12096,plain,
( ! [X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),sF208)
| ~ r2_hidden(X0,sK10)
| r2_hidden(X1,sF211) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70
| ~ spl215_75 ),
inference(forward_demodulation,[],[f12095,f7388]) ).
fof(f12098,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK46(X0,X1,sF208),sK10)
| r2_hidden(X0,sF211)
| ~ r2_hidden(X0,k9_relat_1(sF208,X1))
| ~ v1_relat_1(sF208) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70
| ~ spl215_75 ),
inference(resolution,[],[f12096,f5805]) ).
fof(f12100,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK46(X0,X1,sF208),sK10)
| r2_hidden(X0,sF211)
| ~ r2_hidden(X0,k9_relat_1(sF208,X1)) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(forward_subsumption_resolution,[],[f12098,f7466]) ).
fof(f12102,plain,
( ! [X0] :
( r2_hidden(X0,sF211)
| ~ r2_hidden(X0,k9_relat_1(sF208,sK10))
| ~ r2_hidden(X0,k9_relat_1(sF208,sK10))
| ~ v1_relat_1(sF208) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(resolution,[],[f12100,f5804]) ).
fof(f12103,plain,
( ! [X0] :
( r2_hidden(X0,sF211)
| ~ r2_hidden(X0,k9_relat_1(sF208,sK10))
| ~ v1_relat_1(sF208) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(duplicate_literal_removal,[],[f12102]) ).
fof(f12104,plain,
( ! [X0] :
( r2_hidden(X0,sF211)
| ~ r2_hidden(X0,k9_relat_1(sF208,sK10)) )
| ~ spl215_61
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(forward_subsumption_resolution,[],[f12103,f7466]) ).
fof(f12105,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF209)
| r2_hidden(X0,sF211) )
| ~ spl215_61
| ~ spl215_63
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(forward_demodulation,[],[f12104,f7317]) ).
fof(f14048,plain,
( spl215_78
| ~ spl215_61
| ~ spl215_63
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(avatar_split_clause,[],[f12105,f7464,f7386,f7354,f7351,f7330,f7325,f7315,f7305,f7443]) ).
fof(f14075,plain,
( ! [X0] :
( r2_hidden(sK69(sF209,X0),sF211)
| r1_tarski(sF209,X0) )
| ~ spl215_78 ),
inference(resolution,[],[f7444,f5934]) ).
fof(f14093,plain,
( r1_tarski(sF209,sF211)
| r1_tarski(sF209,sF211)
| ~ spl215_78 ),
inference(resolution,[],[f14075,f5935]) ).
fof(f14096,plain,
( r1_tarski(sF209,sF211)
| ~ spl215_78 ),
inference(duplicate_literal_removal,[],[f14093]) ).
fof(f14098,definition,
( spl215_576
<=> r1_tarski(sF209,sF211) ),
introduced(definition,[new_symbols(definition,[spl215_576])],[avatar_definition]) ).
fof(f14100,plain,
( r1_tarski(sF209,sF211)
| ~ spl215_576 ),
inference(avatar_component_clause,[],[f14098]) ).
fof(f14101,plain,
( spl215_576
| ~ spl215_78 ),
inference(avatar_split_clause,[],[f14096,f7443,f14098]) ).
fof(f14119,plain,
( ~ r1_tarski(sF211,sF209)
| sF209 = sF211
| ~ spl215_576 ),
inference(resolution,[],[f14100,f5931]) ).
fof(f14121,plain,
( ~ r1_tarski(sF211,sF209)
| spl215_60
| ~ spl215_576 ),
inference(forward_subsumption_resolution,[],[f14119,f7302]) ).
fof(f14123,definition,
( spl215_579
<=> r1_tarski(sF211,sF209) ),
introduced(definition,[new_symbols(definition,[spl215_579])],[avatar_definition]) ).
fof(f14125,plain,
( ~ r1_tarski(sF211,sF209)
| spl215_579 ),
inference(avatar_component_clause,[],[f14123]) ).
fof(f14126,plain,
( ~ spl215_579
| spl215_60
| ~ spl215_576 ),
inference(avatar_split_clause,[],[f14121,f14098,f7300,f14123]) ).
fof(f52314,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(X0,sF209)
| ~ r1_tarski(sK50(X0,X1,X2,sK10,X3),sF208)
| ~ v1_relat_1(sK50(X0,X1,X2,sK10,X3))
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,sK10,X3))
| ~ m1_subset_1(sK10,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
| ~ spl215_63
| ~ spl215_79 ),
inference(superposition,[],[f8501,f5815]) ).
fof(f52316,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(sK50(X0,X1,X2,sK10,X3),sF208)
| r1_tarski(X0,sF209)
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,sK10,X3))
| ~ m1_subset_1(sK10,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
| ~ spl215_63
| ~ spl215_79 ),
inference(forward_subsumption_resolution,[],[f52314,f7446]) ).
fof(f69817,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,sK11))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| r1_tarski(sK50(X0,X1,X2,X3,sK11),sF208)
| r1_tarski(sK50(X0,X1,X2,X3,sK11),sF208) )
| ~ spl215_75 ),
inference(resolution,[],[f9111,f5935]) ).
fof(f69830,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(sK50(X0,X1,X2,X3,sK11),sF208)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ r2_hidden(X0,a_4_3_relset_2(X1,X2,X3,sK11)) )
| ~ spl215_75 ),
inference(duplicate_literal_removal,[],[f69817]) ).
fof(f69835,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(sK10,k1_zfmisc_1(X0))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ r2_hidden(X2,a_4_3_relset_2(X0,X1,sK10,sK11))
| r1_tarski(X2,sF209)
| ~ r2_hidden(X2,a_4_3_relset_2(X0,X1,sK10,sK11))
| ~ m1_subset_1(sK10,k1_zfmisc_1(X0))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
| ~ spl215_63
| ~ spl215_75
| ~ spl215_79 ),
inference(resolution,[],[f69830,f52316]) ).
fof(f69845,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(sK10,k1_zfmisc_1(X0))
| ~ r2_hidden(X2,a_4_3_relset_2(X0,X1,sK10,sK11))
| r1_tarski(X2,sF209) )
| ~ spl215_63
| ~ spl215_75
| ~ spl215_79 ),
inference(duplicate_literal_removal,[],[f69835]) ).
fof(f69848,plain,
( ! [X0] :
( ~ m1_subset_1(sK11,k1_zfmisc_1(k1_zfmisc_1(sF207)))
| ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
| ~ r2_hidden(X0,a_4_3_relset_2(sK8,sK9,sK10,sK11))
| r1_tarski(X0,sF209) )
| ~ spl215_61
| ~ spl215_63
| ~ spl215_75
| ~ spl215_79 ),
inference(superposition,[],[f69845,f7307]) ).
fof(f69854,plain,
( ! [X0] :
( ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
| ~ r2_hidden(X0,a_4_3_relset_2(sK8,sK9,sK10,sK11))
| r1_tarski(X0,sF209) )
| ~ spl215_61
| ~ spl215_63
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(forward_subsumption_resolution,[],[f69848,f7355]) ).
fof(f69855,plain,
( ! [X0] :
( ~ m1_subset_1(sK10,sF214)
| ~ r2_hidden(X0,a_4_3_relset_2(sK8,sK9,sK10,sK11))
| r1_tarski(X0,sF209) )
| ~ spl215_61
| ~ spl215_63
| ~ spl215_68
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(forward_demodulation,[],[f69854,f7342]) ).
fof(f69856,plain,
( ! [X0] :
( ~ r2_hidden(X0,a_4_3_relset_2(sK8,sK9,sK10,sK11))
| r1_tarski(X0,sF209) )
| ~ spl215_58
| ~ spl215_61
| ~ spl215_63
| ~ spl215_68
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(forward_subsumption_resolution,[],[f69855,f7292]) ).
fof(f69857,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF210)
| r1_tarski(X0,sF209) )
| ~ spl215_58
| ~ spl215_61
| ~ spl215_63
| ~ spl215_64
| ~ spl215_68
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(forward_demodulation,[],[f69856,f7322]) ).
fof(f69876,plain,
( ! [X0] :
( r1_tarski(sK19(sF210,X0),sF209)
| r1_tarski(k3_tarski(sF210),X0) )
| ~ spl215_58
| ~ spl215_61
| ~ spl215_63
| ~ spl215_64
| ~ spl215_68
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(resolution,[],[f69857,f5659]) ).
fof(f69927,plain,
( ! [X0] :
( r1_tarski(sK19(sF210,X0),sF209)
| r1_tarski(sF211,X0) )
| ~ spl215_58
| ~ spl215_61
| ~ spl215_63
| ~ spl215_64
| ~ spl215_65
| ~ spl215_68
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(forward_demodulation,[],[f69876,f7327]) ).
fof(f69987,plain,
( r1_tarski(sF211,sF209)
| r1_tarski(k3_tarski(sF210),sF209)
| ~ spl215_58
| ~ spl215_61
| ~ spl215_63
| ~ spl215_64
| ~ spl215_65
| ~ spl215_68
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79 ),
inference(resolution,[],[f69927,f5660]) ).
fof(f69993,plain,
( r1_tarski(k3_tarski(sF210),sF209)
| ~ spl215_58
| ~ spl215_61
| ~ spl215_63
| ~ spl215_64
| ~ spl215_65
| ~ spl215_68
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79
| spl215_579 ),
inference(forward_subsumption_resolution,[],[f69987,f14125]) ).
fof(f69994,plain,
( r1_tarski(sF211,sF209)
| ~ spl215_58
| ~ spl215_61
| ~ spl215_63
| ~ spl215_64
| ~ spl215_65
| ~ spl215_68
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79
| spl215_579 ),
inference(forward_demodulation,[],[f69993,f7327]) ).
fof(f69995,plain,
( $false
| ~ spl215_58
| ~ spl215_61
| ~ spl215_63
| ~ spl215_64
| ~ spl215_65
| ~ spl215_68
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79
| spl215_579 ),
inference(forward_subsumption_resolution,[],[f69994,f14125]) ).
fof(f69996,plain,
( ~ spl215_58
| ~ spl215_61
| ~ spl215_63
| ~ spl215_64
| ~ spl215_65
| ~ spl215_68
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79
| spl215_579 ),
inference(avatar_contradiction_clause,[],[f69995]) ).
cnf(s63,plain,
spl215_58,
inference(sat_conversion,[],[f7293]) ).
cnf(s64,plain,
spl215_59,
inference(sat_conversion,[],[f7298]) ).
cnf(s65,plain,
~ spl215_60,
inference(sat_conversion,[],[f7303]) ).
cnf(s66,plain,
spl215_61,
inference(sat_conversion,[],[f7308]) ).
cnf(s67,plain,
spl215_62,
inference(sat_conversion,[],[f7313]) ).
cnf(s68,plain,
spl215_63,
inference(sat_conversion,[],[f7318]) ).
cnf(s69,plain,
spl215_64,
inference(sat_conversion,[],[f7323]) ).
cnf(s70,plain,
spl215_65,
inference(sat_conversion,[],[f7328]) ).
cnf(s71,plain,
spl215_66,
inference(sat_conversion,[],[f7333]) ).
cnf(s72,plain,
spl215_67,
inference(sat_conversion,[],[f7338]) ).
cnf(s73,plain,
spl215_68,
inference(sat_conversion,[],[f7343]) ).
cnf(s74,plain,
( ~ spl215_58
| ~ spl215_61
| ~ spl215_64
| ~ spl215_68
| spl215_69
| ~ spl215_70 ),
inference(sat_conversion,[],[f7357]) ).
cnf(s75,plain,
( ~ spl215_59
| ~ spl215_66
| ~ spl215_67
| spl215_70 ),
inference(sat_conversion,[],[f7358]) ).
cnf(s78,plain,
( ~ spl215_62
| ~ spl215_70
| spl215_75 ),
inference(sat_conversion,[],[f7389]) ).
cnf(s80,plain,
( ~ spl215_62
| ~ spl215_66
| ~ spl215_70
| spl215_76 ),
inference(sat_conversion,[],[f7404]) ).
cnf(s86,plain,
( ~ spl215_61
| ~ spl215_66
| ~ spl215_76
| spl215_79 ),
inference(sat_conversion,[],[f7467]) ).
cnf(s618,plain,
( ~ spl215_61
| ~ spl215_63
| ~ spl215_65
| ~ spl215_66
| ~ spl215_69
| ~ spl215_70
| ~ spl215_75
| spl215_78
| ~ spl215_79 ),
inference(sat_conversion,[],[f14048]) ).
cnf(s627,plain,
( ~ spl215_78
| spl215_576 ),
inference(sat_conversion,[],[f14101]) ).
cnf(s630,plain,
( spl215_60
| ~ spl215_576
| ~ spl215_579 ),
inference(sat_conversion,[],[f14126]) ).
cnf(s5512,plain,
( ~ spl215_58
| ~ spl215_61
| ~ spl215_63
| ~ spl215_64
| ~ spl215_65
| ~ spl215_68
| ~ spl215_70
| ~ spl215_75
| ~ spl215_79
| spl215_579 ),
inference(sat_conversion,[],[f69996]) ).
cnf(s5667,plain,
spl215_70,
inference(rat,[],[s75,s71,s72,s64]) ).
cnf(s5678,plain,
spl215_75,
inference(rat,[],[s78,s67,s5667]) ).
cnf(s5681,plain,
spl215_76,
inference(rat,[],[s80,s67,s71,s5667]) ).
cnf(s5686,plain,
spl215_79,
inference(rat,[],[s86,s66,s71,s5681]) ).
cnf(s5733,plain,
spl215_579,
inference(rat,[],[s5512,s5686,s5667,s5678,s66,s73,s70,s69,s68,s63]) ).
cnf(s5749,plain,
spl215_69,
inference(rat,[],[s74,s5667,s66,s73,s69,s63]) ).
cnf(s5750,plain,
~ spl215_576,
inference(rat,[],[s630,s65,s5733]) ).
cnf(s5857,plain,
spl215_78,
inference(rat,[],[s618,s5686,s5667,s5678,s66,s68,s71,s70,s5749]) ).
cnf(s5871,plain,
$false,
inference(rat,[],[s627,s5750,s5857]) ).
fof(f69997,plain,
$false,
inference(avatar_sat_refutation,[],[s5871]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU434+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 05:25:52 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 13.38/3.00 % (855996)Detected formulas, will run a generic FOF schedule.
% 13.38/3.00 % (856005)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2616677446:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 13.38/3.00 % (856005)Instruction limit reached!
% 13.38/3.00 % (856005)------------------------------
% 13.38/3.00 % (856005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.00 % (856005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.00 % (856005)CaDiCaL version: 2.1.3
% 13.38/3.00 % (856005)Termination reason: Instruction limit
% 13.38/3.00 % (856005)Termination phase: Saturation
% 13.38/3.00 % (856005)Time elapsed: 0.044 s
% 13.38/3.00 % (856005)Peak memory usage: 94 MB
% 13.38/3.00 % (856005)Instructions burned: 119 (million)
% 13.38/3.00 % (856001)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=3266479843:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 13.38/3.00 % (856003)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=379598789:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 13.38/3.00 % (856002)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=3557750776:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 13.38/3.00 % (856004)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=713322196:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 13.38/3.00 % (856007)dis-21_1_sil=8000:lcm=predicate:random_seed=67441325:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 13.38/3.00 % (856006)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2821834591:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 13.38/3.00 % (856004)Instruction limit reached!
% 13.38/3.00 % (856004)------------------------------
% 13.38/3.00 % (856004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.00 % (856004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.00 % (856004)CaDiCaL version: 2.1.3
% 13.38/3.00 % (856004)Termination reason: Instruction limit
% 13.38/3.00 % (856004)Termination phase: Saturation
% 13.38/3.00 % (856004)Time elapsed: 0.077 s
% 13.38/3.00 % (856004)Peak memory usage: 94 MB
% 13.38/3.00 % (856004)Instructions burned: 109 (million)
% 13.38/3.00 % (856006)Instruction limit reached!
% 13.38/3.00 % (856006)------------------------------
% 13.38/3.00 % (856006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.00 % (856006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.00 % (856006)CaDiCaL version: 2.1.3
% 13.38/3.00 % (856006)Termination reason: Instruction limit
% 13.38/3.00 % (856006)Termination phase: Preprocessing 3
% 13.38/3.00 % (856006)Time elapsed: 0.091 s
% 13.38/3.00 % (856006)Peak memory usage: 94 MB
% 13.38/3.00 % (856006)Instructions burned: 140 (million)
% 13.38/3.00 % (856007)Instruction limit reached!
% 13.38/3.00 % (856007)------------------------------
% 13.38/3.00 % (856007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.00 % (856007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.00 % (856007)CaDiCaL version: 2.1.3
% 13.38/3.00 % (856007)Termination reason: Instruction limit
% 13.38/3.00 % (856007)Termination phase: Clausification
% 13.38/3.00 % (856007)Time elapsed: 0.092 s
% 13.38/3.00 % (856007)Peak memory usage: 95 MB
% 13.38/3.00 % (856007)Instructions burned: 129 (million)
% 13.38/3.00 % (856013)lrs+10_1_sil=8000:sp=occurrence:random_seed=3857928545:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 13.38/3.00 % (856013)Instruction limit reached!
% 13.38/3.00 % (856013)------------------------------
% 13.38/3.00 % (856013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/3.00 % (856013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/3.00 % (856013)CaDiCaL version: 2.1.3
% 13.38/3.00 % (856013)Termination reason: Instruction limit
% 13.38/3.00 % (856013)Termination phase: Saturation
% 13.38/3.00 % (856013)Time elapsed: 0.107 s
% 13.38/3.00 % (856013)Peak memory usage: 98 MB
% 13.38/3.00 % (856013)Instructions burned: 286 (million)
% 13.38/3.00 % (856016)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2966509790:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 21.96/4.09 % (856018)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=2259153371:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 21.96/4.09 % (856017)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3571258811:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 21.96/4.09 % (856016)Instruction limit reached!
% 21.96/4.09 % (856016)------------------------------
% 21.96/4.09 % (856016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.96/4.09 % (856016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/4.09 % (856016)CaDiCaL version: 2.1.3
% 21.96/4.09 % (856016)Termination reason: Instruction limit
% 21.96/4.09 % (856016)Termination phase: Saturation
% 21.96/4.09 % (856016)Time elapsed: 0.095 s
% 21.96/4.09 % (856016)Peak memory usage: 95 MB
% 21.96/4.09 % (856016)Instructions burned: 157 (million)
% 21.96/4.09 % (856020)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2806358725:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 21.96/4.09 % (856018)Instruction limit reached!
% 21.96/4.09 % (856018)------------------------------
% 21.96/4.09 % (856018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.96/4.09 % (856018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/4.09 % (856018)CaDiCaL version: 2.1.3
% 21.96/4.09 % (856018)Termination reason: Instruction limit
% 21.96/4.09 % (856018)Termination phase: Property scanning
% 21.96/4.09 % (856018)Time elapsed: 0.148 s
% 21.96/4.09 % (856018)Peak memory usage: 98 MB
% 21.96/4.09 % (856018)Instructions burned: 249 (million)
% 21.96/4.09 % (856020)Instruction limit reached!
% 21.96/4.09 % (856020)------------------------------
% 21.96/4.09 % (856020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.96/4.09 % (856020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/4.09 % (856020)CaDiCaL version: 2.1.3
% 21.96/4.09 % (856020)Termination reason: Instruction limit
% 21.96/4.09 % (856020)Termination phase: Saturation
% 21.96/4.09 % (856020)Time elapsed: 0.094 s
% 21.96/4.09 % (856020)Peak memory usage: 97 MB
% 21.96/4.09 % (856020)Instructions burned: 296 (million)
% 21.96/4.09 % (856024)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1822771538:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 21.96/4.09 % (856017)Instruction limit reached!
% 21.96/4.09 % (856017)------------------------------
% 21.96/4.09 % (856017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.96/4.09 % (856017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/4.09 % (856017)CaDiCaL version: 2.1.3
% 21.96/4.09 % (856017)Termination reason: Instruction limit
% 21.96/4.09 % (856017)Termination phase: Saturation
% 21.96/4.09 % (856017)Time elapsed: 0.230 s
% 21.96/4.09 % (856017)Peak memory usage: 97 MB
% 21.96/4.09 % (856017)Instructions burned: 326 (million)
% 21.96/4.09 % (856026)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3931367199:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 21.96/4.09 % (856027)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=107883445:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 21.96/4.09 % (856027)Instruction limit reached!
% 21.96/4.09 % (856027)------------------------------
% 21.96/4.09 % (856027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.96/4.09 % (856027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/4.09 % (856027)CaDiCaL version: 2.1.3
% 21.96/4.09 % (856027)Termination reason: Instruction limit
% 21.96/4.09 % (856027)Termination phase: Preprocessing 3
% 21.96/4.09 % (856027)Time elapsed: 0.048 s
% 21.96/4.09 % (856027)Peak memory usage: 97 MB
% 21.96/4.09 % (856027)Instructions burned: 129 (million)
% 21.96/4.09 % (856026)Instruction limit reached!
% 21.96/4.09 % (856026)------------------------------
% 21.96/4.09 % (856026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.96/4.09 % (856026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/4.09 % (856026)CaDiCaL version: 2.1.3
% 21.96/4.09 % (856026)Termination reason: Instruction limit
% 21.96/4.09 % (856026)Termination phase: Saturation
% 21.96/4.09 % (856026)Time elapsed: 0.068 s
% 21.96/4.09 % (856026)Peak memory usage: 95 MB
% 44.77/7.32 % (856026)Instructions burned: 113 (million)
% 44.77/7.32 % (856029)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1876607023:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 44.77/7.32 % (856029)Instruction limit reached!
% 44.77/7.32 % (856029)------------------------------
% 44.77/7.32 % (856029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.77/7.32 % (856029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.77/7.32 % (856029)CaDiCaL version: 2.1.3
% 44.77/7.32 % (856029)Termination reason: Instruction limit
% 44.77/7.32 % (856029)Termination phase: SInE selection
% 44.77/7.32 % (856029)Time elapsed: 0.056 s
% 44.77/7.32 % (856029)Peak memory usage: 89 MB
% 44.77/7.32 % (856029)Instructions burned: 114 (million)
% 44.77/7.32 % (856032)lrs+10_1_sil=8000:sp=occurrence:random_seed=2619184317:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 44.77/7.32 % (856033)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3965824975:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 44.77/7.32 % (856035)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1083425103:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 44.77/7.32 % (856032)Instruction limit reached!
% 44.77/7.32 % (856032)------------------------------
% 44.77/7.32 % (856032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.77/7.32 % (856032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.77/7.32 % (856032)CaDiCaL version: 2.1.3
% 44.77/7.32 % (856032)Termination reason: Instruction limit
% 44.77/7.32 % (856032)Termination phase: Saturation
% 44.77/7.32 % (856032)Time elapsed: 0.341 s
% 44.77/7.32 % (856032)Peak memory usage: 108 MB
% 44.77/7.32 % (856032)Instructions burned: 908 (million)
% 44.77/7.32 % (856033)Instruction limit reached!
% 44.77/7.32 % (856033)------------------------------
% 44.77/7.32 % (856033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.77/7.32 % (856033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.77/7.32 % (856033)CaDiCaL version: 2.1.3
% 44.77/7.32 % (856033)Termination reason: Instruction limit
% 44.77/7.32 % (856033)Termination phase: Saturation
% 44.77/7.32 % (856033)Time elapsed: 0.282 s
% 44.77/7.32 % (856033)Peak memory usage: 98 MB
% 44.77/7.32 % (856033)Instructions burned: 438 (million)
% 44.77/7.32 % (856039)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=518805124:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 44.77/7.32 % (856040)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1359136208:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 44.77/7.32 % (856039)Instruction limit reached!
% 44.77/7.32 % (856039)------------------------------
% 44.77/7.32 % (856039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.77/7.32 % (856039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.77/7.32 % (856039)CaDiCaL version: 2.1.3
% 44.77/7.32 % (856039)Termination reason: Instruction limit
% 44.77/7.32 % (856039)Termination phase: Saturation
% 44.77/7.32 % (856039)Time elapsed: 0.048 s
% 44.77/7.32 % (856039)Peak memory usage: 96 MB
% 44.77/7.32 % (856039)Instructions burned: 135 (million)
% 44.77/7.32 % (856043)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3312007412:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 44.77/7.32 % (856040)Instruction limit reached!
% 44.77/7.32 % (856040)------------------------------
% 44.77/7.32 % (856040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.77/7.32 % (856040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.77/7.32 % (856040)CaDiCaL version: 2.1.3
% 44.77/7.32 % (856040)Termination reason: Instruction limit
% 44.77/7.32 % (856040)Termination phase: Saturation
% 44.77/7.32 % (856040)Time elapsed: 0.318 s
% 44.77/7.32 % (856040)Peak memory usage: 106 MB
% 44.77/7.32 % (856040)Instructions burned: 592 (million)
% 44.77/7.32 % (856045)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=4109736957:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 44.77/7.32 % (856045)Instruction limit reached!
% 44.77/7.32 % (856045)------------------------------
% 44.77/7.32 % (856045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.61/11.71 % (856045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.61/11.71 % (856045)CaDiCaL version: 2.1.3
% 75.61/11.71 % (856045)Termination reason: Instruction limit
% 75.61/11.71 % (856045)Termination phase: General splitting
% 75.61/11.71 % (856045)Time elapsed: 0.075 s
% 75.61/11.71 % (856045)Peak memory usage: 92 MB
% 75.61/11.71 % (856045)Instructions burned: 125 (million)
% 75.61/11.71 % (856024)Instruction limit reached!
% 75.61/11.71 % (856024)------------------------------
% 75.61/11.71 % (856024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.61/11.71 % (856024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.61/11.71 % (856024)CaDiCaL version: 2.1.3
% 75.61/11.71 % (856024)Termination reason: Instruction limit
% 75.61/11.71 % (856024)Termination phase: Saturation
% 75.61/11.71 % (856024)Time elapsed: 1.481 s
% 75.61/11.71 % (856024)Peak memory usage: 188 MB
% 75.61/11.71 % (856024)Instructions burned: 2351 (million)
% 75.61/11.71 % (856047)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2131262281:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 75.61/11.71 % (856047)Instruction limit reached!
% 75.61/11.71 % (856047)------------------------------
% 75.61/11.71 % (856047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.61/11.71 % (856047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.61/11.71 % (856047)CaDiCaL version: 2.1.3
% 75.61/11.71 % (856047)Termination reason: Instruction limit
% 75.61/11.71 % (856047)Termination phase: Preprocessing 1
% 75.61/11.71 % (856047)Time elapsed: 0.068 s
% 75.61/11.71 % (856047)Peak memory usage: 90 MB
% 75.61/11.71 % (856047)Instructions burned: 135 (million)
% 75.61/11.71 % (856048)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2744634760:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 75.61/11.71 % (856050)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3140317648:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 75.61/11.71 % (856048)Instruction limit reached!
% 75.61/11.71 % (856048)------------------------------
% 75.61/11.71 % (856048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.61/11.71 % (856048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.61/11.71 % (856048)CaDiCaL version: 2.1.3
% 75.61/11.71 % (856048)Termination reason: Instruction limit
% 75.61/11.71 % (856048)Termination phase: Saturation
% 75.61/11.71 % (856048)Time elapsed: 0.096 s
% 75.61/11.71 % (856048)Peak memory usage: 95 MB
% 75.61/11.71 % (856048)Instructions burned: 142 (million)
% 75.61/11.71 % (856053)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=744297043:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 75.61/11.71 % (856050)Instruction limit reached!
% 75.61/11.71 % (856050)------------------------------
% 75.61/11.71 % (856050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.61/11.71 % (856050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.61/11.71 % (856050)CaDiCaL version: 2.1.3
% 75.61/11.71 % (856050)Termination reason: Instruction limit
% 75.61/11.71 % (856050)Termination phase: Saturation
% 75.61/11.71 % (856050)Time elapsed: 0.258 s
% 75.61/11.71 % (856050)Peak memory usage: 97 MB
% 75.61/11.71 % (856050)Instructions burned: 433 (million)
% 75.61/11.71 % (856055)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=518551837:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 75.61/11.71 % (856055)Instruction limit reached!
% 75.61/11.71 % (856055)------------------------------
% 75.61/11.71 % (856055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.61/11.71 % (856055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.61/11.71 % (856055)CaDiCaL version: 2.1.3
% 75.61/11.71 % (856055)Termination reason: Instruction limit
% 75.61/11.71 % (856055)Termination phase: Preprocessing 3
% 75.61/11.71 % (856055)Time elapsed: 0.097 s
% 75.61/11.71 % (856055)Peak memory usage: 97 MB
% 75.61/11.71 % (856055)Instructions burned: 151 (million)
% 75.61/11.71 % (856057)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4223024455:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 105.66/16.01 % (856035)Instruction limit reached!
% 105.66/16.01 % (856035)------------------------------
% 105.66/16.01 % (856035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.66/16.01 % (856035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.66/16.01 % (856035)CaDiCaL version: 2.1.3
% 105.66/16.01 % (856035)Termination reason: Instruction limit
% 105.66/16.01 % (856035)Termination phase: Saturation
% 105.66/16.01 % (856035)Time elapsed: 3.169 s
% 105.66/16.01 % (856035)Peak memory usage: 186 MB
% 105.66/16.01 % (856035)Instructions burned: 5203 (million)
% 105.66/16.01 % (856059)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1640794956:i=667:av=off:fsr=off_2955 on theBenchmark for (2955ds/667Mi)
% 105.66/16.01 % (856059)Instruction limit reached!
% 105.66/16.01 % (856059)------------------------------
% 105.66/16.01 % (856059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.66/16.01 % (856059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.66/16.01 % (856059)CaDiCaL version: 2.1.3
% 105.66/16.02 % (856059)Termination reason: Instruction limit
% 105.66/16.02 % (856059)Termination phase: Saturation
% 105.66/16.02 % (856059)Time elapsed: 0.356 s
% 105.66/16.02 % (856059)Peak memory usage: 107 MB
% 105.66/16.02 % (856059)Instructions burned: 667 (million)
% 105.66/16.02 % (856061)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=1514256244:s2a=on:i=185:s2at=1.8:fdi=4_2950 on theBenchmark for (2950ds/185Mi)
% 105.66/16.02 % (856061)Instruction limit reached!
% 105.66/16.02 % (856061)------------------------------
% 105.66/16.02 % (856061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.66/16.02 % (856061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.66/16.02 % (856061)CaDiCaL version: 2.1.3
% 105.66/16.02 % (856061)Termination reason: Instruction limit
% 105.66/16.02 % (856061)Termination phase: NewCNF
% 105.66/16.02 % (856061)Time elapsed: 0.125 s
% 105.66/16.02 % (856061)Peak memory usage: 98 MB
% 105.66/16.02 % (856061)Instructions burned: 186 (million)
% 105.66/16.02 % (856063)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2977421567:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2947 on theBenchmark for (2947ds/193Mi)
% 105.66/16.02 % (856063)Instruction limit reached!
% 105.66/16.02 % (856063)------------------------------
% 105.66/16.02 % (856063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.66/16.02 % (856063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.66/16.02 % (856063)CaDiCaL version: 2.1.3
% 105.66/16.02 % (856063)Termination reason: Instruction limit
% 105.66/16.02 % (856063)Termination phase: Saturation
% 105.66/16.02 % (856063)Time elapsed: 0.118 s
% 105.66/16.02 % (856063)Peak memory usage: 97 MB
% 105.66/16.02 % (856063)Instructions burned: 195 (million)
% 105.66/16.02 % (856065)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=525707849:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2944 on theBenchmark for (2944ds/4850Mi)
% 105.66/16.02 % (856043)Instruction limit reached!
% 105.66/16.02 % (856043)------------------------------
% 105.66/16.02 % (856043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.66/16.02 % (856043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.66/16.02 % (856043)CaDiCaL version: 2.1.3
% 105.66/16.02 % (856043)Termination reason: Instruction limit
% 105.66/16.02 % (856043)Termination phase: Saturation
% 105.66/16.02 % (856043)Time elapsed: 4.453 s
% 105.66/16.02 % (856043)Peak memory usage: 261 MB
% 105.66/16.02 % (856043)Instructions burned: 13194 (million)
% 105.66/16.02 % (856053)Instruction limit reached!
% 105.66/16.02 % (856053)------------------------------
% 105.66/16.02 % (856053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 105.66/16.02 % (856053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.66/16.02 % (856053)CaDiCaL version: 2.1.3
% 105.66/16.02 % (856053)Termination reason: Instruction limit
% 105.66/16.02 % (856053)Termination phase: Saturation
% 105.66/16.02 % (856053)Time elapsed: 3.540 s
% 105.66/16.02 % (856053)Peak memory usage: 230 MB
% 105.66/16.02 % (856053)Instructions burned: 6062 (million)
% 105.66/16.02 % (856067)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2446352975:i=12111:sd=1:ss=included_2938 on theBenchmark for (2938ds/12111Mi)
% 105.66/16.02 % (856069)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1217630072:i=319:kws=precedence:fsr=off_2936 on theBenchmark for (2936ds/319Mi)
% 151.71/22.31 % (856069)Instruction limit reached!
% 151.71/22.31 % (856069)------------------------------
% 151.71/22.31 % (856069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.71/22.31 % (856069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.71/22.31 % (856069)CaDiCaL version: 2.1.3
% 151.71/22.31 % (856069)Termination reason: Instruction limit
% 151.71/22.31 % (856069)Termination phase: Property scanning
% 151.71/22.31 % (856069)Time elapsed: 0.169 s
% 151.71/22.31 % (856069)Peak memory usage: 99 MB
% 151.71/22.31 % (856069)Instructions burned: 320 (million)
% 151.71/22.31 % (856071)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3323799731:i=2064:ep=RST_2933 on theBenchmark for (2933ds/2064Mi)
% 151.71/22.31 % (856071)Instruction limit reached!
% 151.71/22.31 % (856071)------------------------------
% 151.71/22.31 % (856071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.71/22.31 % (856071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.71/22.31 % (856071)CaDiCaL version: 2.1.3
% 151.71/22.31 % (856071)Termination reason: Instruction limit
% 151.71/22.31 % (856071)Termination phase: Saturation
% 151.71/22.31 % (856071)Time elapsed: 1.173 s
% 151.71/22.31 % (856071)Peak memory usage: 127 MB
% 151.71/22.31 % (856071)Instructions burned: 2065 (million)
% 151.71/22.31 % (856073)dis-1011_128_sil=32000:random_seed=1768923795:i=3706:ep=RST:av=off_2919 on theBenchmark for (2919ds/3706Mi)
% 151.71/22.31 % (856065)Instruction limit reached!
% 151.71/22.31 % (856065)------------------------------
% 151.71/22.31 % (856065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.71/22.31 % (856065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.71/22.31 % (856065)CaDiCaL version: 2.1.3
% 151.71/22.31 % (856065)Termination reason: Instruction limit
% 151.71/22.31 % (856065)Termination phase: Saturation
% 151.71/22.31 % (856065)Time elapsed: 2.633 s
% 151.71/22.31 % (856065)Peak memory usage: 130 MB
% 151.71/22.31 % (856065)Instructions burned: 4850 (million)
% 151.71/22.31 % (856075)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3116399758:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2916 on theBenchmark for (2916ds/757Mi)
% 151.71/22.31 % (856075)Instruction limit reached!
% 151.71/22.31 % (856075)------------------------------
% 151.71/22.31 % (856075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.71/22.31 % (856075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.71/22.31 % (856075)CaDiCaL version: 2.1.3
% 151.71/22.31 % (856075)Termination reason: Instruction limit
% 151.71/22.31 % (856075)Termination phase: Saturation
% 151.71/22.31 % (856075)Time elapsed: 0.523 s
% 151.71/22.31 % (856075)Peak memory usage: 102 MB
% 151.71/22.31 % (856075)Instructions burned: 757 (million)
% 151.71/22.31 % (856077)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3242686329:i=13913:ss=axioms:sgt=8_2909 on theBenchmark for (2909ds/13913Mi)
% 151.71/22.31 % (856073)Instruction limit reached!
% 151.71/22.31 % (856073)------------------------------
% 151.71/22.31 % (856073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.71/22.31 % (856073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.71/22.31 % (856073)CaDiCaL version: 2.1.3
% 151.71/22.31 % (856073)Termination reason: Instruction limit
% 151.71/22.31 % (856073)Termination phase: Saturation
% 151.71/22.31 % (856073)Time elapsed: 1.981 s
% 151.71/22.31 % (856073)Peak memory usage: 128 MB
% 151.71/22.31 % (856073)Instructions burned: 3706 (million)
% 151.71/22.31 % (856079)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1294702994:i=9925:aac=none_2898 on theBenchmark for (2898ds/9925Mi)
% 151.71/22.31 % (856067)Instruction limit reached!
% 151.71/22.31 % (856067)------------------------------
% 151.71/22.31 % (856067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.71/22.31 % (856067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.71/22.31 % (856067)CaDiCaL version: 2.1.3
% 151.71/22.31 % (856067)Termination reason: Instruction limit
% 151.71/22.31 % (856067)Termination phase: Saturation
% 151.71/22.31 % (856067)Time elapsed: 4.427 s
% 151.71/22.31 % (856067)Peak memory usage: 240 MB
% 151.71/22.31 % (856067)Instructions burned: 12112 (million)
% 151.71/22.31 % (856081)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=4245118312:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2892 on theBenchmark for (2892ds/2479Mi)
% 212.95/31.02 % (856081)Instruction limit reached!
% 212.95/31.02 % (856081)------------------------------
% 212.95/31.02 % (856081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 212.95/31.02 % (856081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.95/31.02 % (856081)CaDiCaL version: 2.1.3
% 212.95/31.02 % (856081)Termination reason: Instruction limit
% 212.95/31.02 % (856081)Termination phase: Saturation
% 212.95/31.02 % (856081)Time elapsed: 0.816 s
% 212.95/31.02 % (856081)Peak memory usage: 112 MB
% 212.95/31.02 % (856081)Instructions burned: 2483 (million)
% 212.95/31.02 % (856083)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=28429424:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2883 on theBenchmark for (2883ds/440Mi)
% 212.95/31.02 % (856083)Instruction limit reached!
% 212.95/31.02 % (856083)------------------------------
% 212.95/31.02 % (856083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 212.95/31.02 % (856083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.95/31.02 % (856083)CaDiCaL version: 2.1.3
% 212.95/31.02 % (856083)Termination reason: Instruction limit
% 212.95/31.02 % (856083)Termination phase: Property scanning
% 212.95/31.02 % (856083)Time elapsed: 0.125 s
% 212.95/31.02 % (856083)Peak memory usage: 102 MB
% 212.95/31.02 % (856083)Instructions burned: 442 (million)
% 212.95/31.02 % (856057)Instruction limit reached!
% 212.95/31.02 % (856057)------------------------------
% 212.95/31.02 % (856057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 212.95/31.02 % (856057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.95/31.02 % (856057)CaDiCaL version: 2.1.3
% 212.95/31.02 % (856057)Termination reason: Instruction limit
% 212.95/31.02 % (856057)Termination phase: Saturation
% 212.95/31.02 % (856057)Time elapsed: 8.781 s
% 212.95/31.02 % (856057)Peak memory usage: 265 MB
% 212.95/31.02 % (856057)Instructions burned: 14156 (million)
% 212.95/31.02 % (856085)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1168048060:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2880 on theBenchmark for (2880ds/11145Mi)
% 212.95/31.02 % (856086)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=3650439916:cts=off:i=3034:av=off:er=known:fsd=on_2879 on theBenchmark for (2879ds/3034Mi)
% 212.95/31.02 % (856086)Instruction limit reached!
% 212.95/31.02 % (856086)------------------------------
% 212.95/31.02 % (856086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 212.95/31.02 % (856086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.95/31.02 % (856086)CaDiCaL version: 2.1.3
% 212.95/31.02 % (856086)Termination reason: Instruction limit
% 212.95/31.02 % (856086)Termination phase: Saturation
% 212.95/31.02 % (856086)Time elapsed: 1.796 s
% 212.95/31.02 % (856086)Peak memory usage: 234 MB
% 212.95/31.02 % (856086)Instructions burned: 3035 (million)
% 212.95/31.02 % (856778)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1181399453:st=2:s2a=on:i=524:s2at=2:ss=axioms_2859 on theBenchmark for (2859ds/524Mi)
% 212.95/31.02 % (856778)Instruction limit reached!
% 212.95/31.02 % (856778)------------------------------
% 212.95/31.02 % (856778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 212.95/31.02 % (856778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.95/31.02 % (856778)CaDiCaL version: 2.1.3
% 212.95/31.02 % (856778)Termination reason: Instruction limit
% 212.95/31.02 % (856778)Termination phase: Saturation
% 212.95/31.02 % (856778)Time elapsed: 0.278 s
% 212.95/31.02 % (856778)Peak memory usage: 103 MB
% 212.95/31.02 % (856778)Instructions burned: 525 (million)
% 212.95/31.02 % (856997)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2195109889:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2855 on theBenchmark for (2855ds/1016Mi)
% 212.95/31.02 % (856997)Instruction limit reached!
% 212.95/31.02 % (856997)------------------------------
% 212.95/31.02 % (856997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 212.95/31.02 % (856997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.95/31.02 % (856997)CaDiCaL version: 2.1.3
% 212.95/31.02 % (856997)Termination reason: Instruction limit
% 212.95/31.02 % (856997)Termination phase: Saturation
% 212.95/31.02 % (856997)Time elapsed: 0.539 s
% 212.95/31.02 % (856997)Peak memory usage: 113 MB
% 212.95/31.02 % (856997)Instructions burned: 1017 (million)
% 155.09/32.72 % (857351)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1168616581:i=14123:bd=preordered:ins=4_2848 on theBenchmark for (2848ds/14123Mi)
% 155.09/32.72 % (856079)Instruction limit reached!
% 155.09/32.72 % (856079)------------------------------
% 155.09/32.72 % (856079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (856079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (856079)CaDiCaL version: 2.1.3
% 155.09/32.72 % (856079)Termination reason: Instruction limit
% 155.09/32.72 % (856079)Termination phase: Saturation
% 155.09/32.72 % (856079)Time elapsed: 5.412 s
% 155.09/32.72 % (856079)Peak memory usage: 230 MB
% 155.09/32.72 % (856079)Instructions burned: 9927 (million)
% 155.09/32.72 % (857501)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3766724360:i=5781:kws=precedence:bd=all:rawr=on_2842 on theBenchmark for (2842ds/5781Mi)
% 155.09/32.72 % (856085)Instruction limit reached!
% 155.09/32.72 % (856085)------------------------------
% 155.09/32.72 % (856085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (856085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (856085)CaDiCaL version: 2.1.3
% 155.09/32.72 % (856085)Termination reason: Instruction limit
% 155.09/32.72 % (856085)Termination phase: Saturation
% 155.09/32.72 % (856085)Time elapsed: 4.094 s
% 155.09/32.72 % (856085)Peak memory usage: 221 MB
% 155.09/32.72 % (856085)Instructions burned: 11147 (million)
% 155.09/32.72 % (857534)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=1131617692:i=2448:gtgl=5:bd=preordered:gtg=all_2838 on theBenchmark for (2838ds/2448Mi)
% 155.09/32.72 % (857534)Instruction limit reached!
% 155.09/32.72 % (857534)------------------------------
% 155.09/32.72 % (857534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (857534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (857534)CaDiCaL version: 2.1.3
% 155.09/32.72 % (857534)Termination reason: Instruction limit
% 155.09/32.72 % (857534)Termination phase: Saturation
% 155.09/32.72 % (857534)Time elapsed: 1.440 s
% 155.09/32.72 % (857534)Peak memory usage: 227 MB
% 155.09/32.72 % (857534)Instructions burned: 2449 (million)
% 155.09/32.72 % (857536)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=1722783577:i=3223:kws=precedence:fgj=on:av=off_2821 on theBenchmark for (2821ds/3223Mi)
% 155.09/32.72 % (856077)Instruction limit reached!
% 155.09/32.72 % (856077)------------------------------
% 155.09/32.72 % (856077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (856077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (856077)CaDiCaL version: 2.1.3
% 155.09/32.72 % (856077)Termination reason: Instruction limit
% 155.09/32.72 % (856077)Termination phase: Saturation
% 155.09/32.72 % (856077)Time elapsed: 9.877 s
% 155.09/32.72 % (856077)Peak memory usage: 244 MB
% 155.09/32.72 % (856077)Instructions burned: 13914 (million)
% 155.09/32.72 % (857538)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=4069036720:st=5.6:i=2033:sd=3:ss=axioms_2809 on theBenchmark for (2809ds/2033Mi)
% 155.09/32.72 % (857536)Instruction limit reached!
% 155.09/32.72 % (857536)------------------------------
% 155.09/32.72 % (857536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (857536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (857536)CaDiCaL version: 2.1.3
% 155.09/32.72 % (857536)Termination reason: Instruction limit
% 155.09/32.72 % (857536)Termination phase: Saturation
% 155.09/32.72 % (857536)Time elapsed: 1.871 s
% 155.09/32.72 % (857536)Peak memory usage: 240 MB
% 155.09/32.72 % (857536)Instructions burned: 3224 (million)
% 155.09/32.72 % (857540)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=2632764205:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2799 on theBenchmark for (2799ds/2055Mi)
% 155.09/32.72 % (857540)Instruction limit reached!
% 155.09/32.72 % (857540)------------------------------
% 155.09/32.72 % (857540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (857540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (857540)CaDiCaL version: 2.1.3
% 155.09/32.72 % (857540)Termination reason: Instruction limit
% 155.09/32.72 % (857540)Termination phase: Saturation
% 155.09/32.72 % (857540)Time elapsed: 1.227 s
% 155.09/32.72 % (857540)Peak memory usage: 149 MB
% 155.09/32.72 % (857540)Instructions burned: 2057 (million)
% 155.09/32.72 % (857538)Instruction limit reached!
% 155.09/32.72 % (857538)------------------------------
% 155.09/32.72 % (857538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (857538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (857538)CaDiCaL version: 2.1.3
% 155.09/32.72 % (857538)Termination reason: Instruction limit
% 155.09/32.72 % (857538)Termination phase: Saturation
% 155.09/32.72 % (857538)Time elapsed: 2.200 s
% 155.09/32.72 % (857538)Peak memory usage: 198 MB
% 155.09/32.72 % (857538)Instructions burned: 2033 (million)
% 155.09/32.72 % (857542)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=2096195784:i=21611:sd=3:ss=axioms_2785 on theBenchmark for (2785ds/21611Mi)
% 155.09/32.72 % (857543)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=2670520686:i=4835:sd=13:ss=axioms:sgt=23_2783 on theBenchmark for (2783ds/4835Mi)
% 155.09/32.72 % (857501)Instruction limit reached!
% 155.09/32.72 % (857501)------------------------------
% 155.09/32.72 % (857501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (857501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (857501)CaDiCaL version: 2.1.3
% 155.09/32.72 % (857501)Termination reason: Instruction limit
% 155.09/32.72 % (857501)Termination phase: Saturation
% 155.09/32.72 % (857501)Time elapsed: 6.136 s
% 155.09/32.72 % (857501)Peak memory usage: 146 MB
% 155.09/32.72 % (857501)Instructions burned: 5781 (million)
% 155.09/32.72 % (857546)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=2279040192:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2779 on theBenchmark for (2779ds/797Mi)
% 155.09/32.72 % (857546)Instruction limit reached!
% 155.09/32.72 % (857546)------------------------------
% 155.09/32.72 % (857546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (857546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (857546)CaDiCaL version: 2.1.3
% 155.09/32.72 % (857546)Termination reason: Instruction limit
% 155.09/32.72 % (857546)Termination phase: Saturation
% 155.09/32.72 % (857546)Time elapsed: 0.731 s
% 155.09/32.72 % (857546)Peak memory usage: 104 MB
% 155.09/32.72 % (857546)Instructions burned: 797 (million)
% 155.09/32.72 % (857548)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=2877917145:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2768 on theBenchmark for (2768ds/2326Mi)
% 155.09/32.72 % (857548)Instruction limit reached!
% 155.09/32.72 % (857548)------------------------------
% 155.09/32.72 % (857548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (857548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (857548)CaDiCaL version: 2.1.3
% 155.09/32.72 % (857548)Termination reason: Instruction limit
% 155.09/32.72 % (857548)Termination phase: Saturation
% 155.09/32.72 % (857548)Time elapsed: 2.191 s
% 155.09/32.72 % (857548)Peak memory usage: 119 MB
% 155.09/32.72 % (857548)Instructions burned: 2326 (million)
% 155.09/32.72 % (857550)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=3478732121:i=6038:nm=6_2743 on theBenchmark for (2743ds/6038Mi)
% 155.09/32.72 % (857543)Instruction limit reached!
% 155.09/32.72 % (857543)------------------------------
% 155.09/32.72 % (857543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (857543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (857543)CaDiCaL version: 2.1.3
% 155.09/32.72 % (857543)Termination reason: Instruction limit
% 155.09/32.72 % (857543)Termination phase: Saturation
% 155.09/32.72 % (857543)Time elapsed: 4.552 s
% 155.09/32.72 % (857543)Peak memory usage: 131 MB
% 155.09/32.72 % (857543)Instructions burned: 4836 (million)
% 155.09/32.72 % (857552)lrs+10_1_sil=32000:sp=occurrence:random_seed=584517411:st=2:i=33334:sd=3:ss=included:sgt=32_2735 on theBenchmark for (2735ds/33334Mi)
% 155.09/32.72 % (857351)Instruction limit reached!
% 155.09/32.72 % (857351)------------------------------
% 155.09/32.72 % (857351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (857351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (857351)CaDiCaL version: 2.1.3
% 155.09/32.72 % (857351)Termination reason: Instruction limit
% 155.09/32.72 % (857351)Termination phase: Saturation
% 155.09/32.72 % (857351)Time elapsed: 14.855 s
% 155.09/32.72 % (857351)Peak memory usage: 259 MB
% 155.09/32.72 % (857351)Instructions burned: 14123 (million)
% 155.09/32.72 % (857554)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=3745402850:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2697 on theBenchmark for (2697ds/1008Mi)
% 155.09/32.72 % (857550)Instruction limit reached!
% 155.09/32.72 % (857550)------------------------------
% 155.09/32.72 % (857550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (857550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (857550)CaDiCaL version: 2.1.3
% 155.09/32.72 % (857550)Termination reason: Instruction limit
% 155.09/32.72 % (857550)Termination phase: Saturation
% 155.09/32.72 % (857550)Time elapsed: 5.368 s
% 155.09/32.72 % (857550)Peak memory usage: 230 MB
% 155.09/32.72 % (857550)Instructions burned: 6039 (million)
% 155.09/32.72 % (857542)First to succeed.
% 155.09/32.72 % (857542)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-855996"
% 155.09/32.72 % (857554)Instruction limit reached!
% 155.09/32.72 % (857554)------------------------------
% 155.09/32.72 % (857554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.09/32.72 % (857554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.09/32.72 % (857554)CaDiCaL version: 2.1.3
% 155.09/32.72 % (857554)Termination reason: Instruction limit
% 155.09/32.72 % (857554)Termination phase: Saturation
% 155.09/32.72 % (857554)Time elapsed: 1.010 s
% 155.09/32.72 % (857554)Peak memory usage: 104 MB
% 155.09/32.72 % (857554)Instructions burned: 1008 (million)
% 155.09/32.72 % (857556)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=2966775005:i=8327:s2at=5:bd=preordered_2686 on theBenchmark for (2686ds/8327Mi)
% 155.09/32.72 % (857542)Refutation found. Thanks to Tanya!
% 155.09/32.72 % SZS status Theorem for theBenchmark
% 155.09/32.72 % SZS output start Proof for theBenchmark
% See solution above
% 225.60/32.93 % (857542)------------------------------
% 225.60/32.93 % (857542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 225.60/32.93 % (857542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 225.60/32.93 % (857542)CaDiCaL version: 2.1.3
% 225.60/32.93 % (857542)Termination reason: Refutation
% 225.60/32.93 % (857542)Time elapsed: 9.793 s
% 225.60/32.93 % (857542)Peak memory usage: 258 MB
% 225.60/32.93 % (857542)Instructions burned: 16869 (million)
% 225.60/32.93 % (857542)------------------------------
% 225.60/32.93 % (857542)------------------------------
% 225.60/32.93 % (855996)Success in time 31.881 s
% 225.60/32.93 % Vampire exiting
%------------------------------------------------------------------------------