%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU443+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:49:07 PM UTC 2026
% Result : Theorem 23.74s 4.39s
% Output : Refutation 24.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 34
% Syntax : Number of formulae : 207 ( 32 unt; 17 def)
% Number of atoms : 539 ( 48 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 596 ( 264 ~; 272 |; 20 &)
% ( 18 <=>; 21 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-5 aty)
% Number of variables : 207 ( 0 sgn 195 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f80,axiom,
! [X0,X1,X2] :
( r1_tarski(k2_xboole_0(X0,X1),X2)
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_xboole_1) ).
fof(f81,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k2_xboole_0(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f540,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f728,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f770,axiom,
! [X0] :
( v1_relat_1(X0)
=> k4_relat_1(k4_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k4_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/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1179,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1181,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1196,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f1198,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f1206,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(f4467,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_relset_2) ).
fof(f4523,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_relset_2) ).
fof(f4525,axiom,
! [X0,X1,X2,X3] :
( m2_relset_1(X3,X0,X1)
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> ( k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,k2_funct_5(X3))
& r1_tarski(k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k2_funct_5(X4)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_relset_2) ).
fof(f4526,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> ( r1_tarski(X2,k1_funct_5(X3))
<=> r1_tarski(X2,k10_relset_1(X0,X0,k9_relset_2(X0,X1,X0,X3,k6_relset_1(X0,X1,X3)),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_relset_2) ).
fof(f4527,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> ( r1_tarski(X2,k2_funct_5(X3))
<=> r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_relset_2) ).
fof(f4528,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> ( r1_tarski(X2,k2_funct_5(X3))
<=> r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f4527]) ).
fof(f4739,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f4740,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f4739]) ).
fof(f4746,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(k2_xboole_0(X0,X1),X2) ),
inference(ennf_transformation,[],[f80]) ).
fof(f4747,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f5309,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f728]) ).
fof(f5310,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f5309]) ).
fof(f5354,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f770]) ).
fof(f5721,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(f5779,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1179]) ).
fof(f5804,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1196]) ).
fof(f5806,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1198]) ).
fof(f5816,plain,
! [X0,X1,X2,X3] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1206]) ).
fof(f9747,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f4467]) ).
fof(f9748,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f9747]) ).
fof(f9811,plain,
! [X0,X1,X2] :
( ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f4523]) ).
fof(f9813,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ( k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)) = k10_relset_1(X1,X2,X4,k2_funct_5(X3))
& r1_tarski(k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k2_funct_5(X4)) )
| ~ m2_relset_1(X4,X1,X2) )
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f4525]) ).
fof(f9814,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( r1_tarski(X2,k1_funct_5(X3))
<=> r1_tarski(X2,k10_relset_1(X0,X0,k9_relset_2(X0,X1,X0,X3,k6_relset_1(X0,X1,X3)),X2)) )
| ~ m2_relset_1(X3,X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f4526]) ).
fof(f9815,plain,
? [X0,X1,X2] :
( ? [X3] :
( ( r1_tarski(X2,k2_funct_5(X3))
<~> r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2)) )
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f4528]) ).
fof(f10309,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f540]) ).
fof(f10606,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1181]) ).
fof(f12257,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( ( r1_tarski(X2,k1_funct_5(X3))
| ~ r1_tarski(X2,k10_relset_1(X0,X0,k9_relset_2(X0,X1,X0,X3,k6_relset_1(X0,X1,X3)),X2)) )
& ( r1_tarski(X2,k10_relset_1(X0,X0,k9_relset_2(X0,X1,X0,X3,k6_relset_1(X0,X1,X3)),X2))
| ~ r1_tarski(X2,k1_funct_5(X3)) ) )
| ~ m2_relset_1(X3,X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f9814]) ).
fof(f12258,plain,
? [X0,X1,X2] :
( ? [X3] :
( ( ~ r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2))
| ~ r1_tarski(X2,k2_funct_5(X3)) )
& ( r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2))
| r1_tarski(X2,k2_funct_5(X3)) )
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(nnf_transformation,[],[f9815]) ).
fof(f12259,plain,
? [X0,X1,X2] :
( ? [X3] :
( ( ~ r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2))
| ~ r1_tarski(X2,k2_funct_5(X3)) )
& ( r1_tarski(X2,k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X3),X3),X2))
| r1_tarski(X2,k2_funct_5(X3)) )
& m2_relset_1(X3,X0,X1) )
& m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(flattening,[],[f12258]) ).
fof(f12260,plain,
( ( ~ r1_tarski(sK1515,k10_relset_1(sK1514,sK1514,k9_relset_2(sK1514,sK1513,sK1514,k6_relset_1(sK1513,sK1514,sK1516),sK1516),sK1515))
| ~ r1_tarski(sK1515,k2_funct_5(sK1516)) )
& ( r1_tarski(sK1515,k10_relset_1(sK1514,sK1514,k9_relset_2(sK1514,sK1513,sK1514,k6_relset_1(sK1513,sK1514,sK1516),sK1516),sK1515))
| r1_tarski(sK1515,k2_funct_5(sK1516)) )
& m2_relset_1(sK1516,sK1513,sK1514)
& m1_subset_1(sK1515,k1_zfmisc_1(sK1514)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1513,sK1514,sK1515,sK1516]),skolemize(X0,sK1513),skolemize(X1,sK1514),skolemize(X2,sK1515),skolemize(X3,sK1516)],[f12259]) ).
fof(f12390,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f4740]) ).
fof(f12400,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k2_xboole_0(X0,X1),X2)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f4746]) ).
fof(f12401,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X1) = X1 ),
inference(cnf_transformation,[],[f4747]) ).
fof(f13016,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10309]) ).
fof(f13259,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f5310]) ).
fof(f13311,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f5354]) ).
fof(f13896,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f5721]) ).
fof(f13976,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5779]) ).
fof(f13978,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f10606]) ).
fof(f13994,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f5804]) ).
fof(f13996,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f5806]) ).
fof(f14004,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f5816]) ).
fof(f20397,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f9748]) ).
fof(f20478,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k10_relset_1(X1,X0,X2,X1) = k2_funct_5(X2) ),
inference(cnf_transformation,[],[f9811]) ).
fof(f20479,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ),
inference(cnf_transformation,[],[f9811]) ).
fof(f20482,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(k2_funct_5(k9_relset_2(X0,X1,X2,X3,X4)),k2_funct_5(X4))
| ~ m2_relset_1(X4,X1,X2)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f9813]) ).
fof(f20484,plain,
! [X2,X3,X0,X1] :
( r1_tarski(X2,k10_relset_1(X0,X0,k9_relset_2(X0,X1,X0,X3,k6_relset_1(X0,X1,X3)),X2))
| ~ r1_tarski(X2,k1_funct_5(X3))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f12257]) ).
fof(f20486,plain,
m1_subset_1(sK1515,k1_zfmisc_1(sK1514)),
inference(cnf_transformation,[],[f12260]) ).
fof(f20487,plain,
m2_relset_1(sK1516,sK1513,sK1514),
inference(cnf_transformation,[],[f12260]) ).
fof(f20488,plain,
( r1_tarski(sK1515,k10_relset_1(sK1514,sK1514,k9_relset_2(sK1514,sK1513,sK1514,k6_relset_1(sK1513,sK1514,sK1516),sK1516),sK1515))
| r1_tarski(sK1515,k2_funct_5(sK1516)) ),
inference(cnf_transformation,[],[f12260]) ).
fof(f20489,plain,
( ~ r1_tarski(sK1515,k10_relset_1(sK1514,sK1514,k9_relset_2(sK1514,sK1513,sK1514,k6_relset_1(sK1513,sK1514,sK1516),sK1516),sK1515))
| ~ r1_tarski(sK1515,k2_funct_5(sK1516)) ),
inference(cnf_transformation,[],[f12260]) ).
fof(f23377,definition,
sF1517 = k6_relset_1(sK1513,sK1514,sK1516),
introduced(definition,[new_symbols(definition,[sF1517])],[function_definition]) ).
fof(f23378,plain,
k6_relset_1(sK1513,sK1514,sK1516) = sF1517,
inference(reorient_equations,[],[f23377]) ).
fof(f23379,definition,
sF1518 = k9_relset_2(sK1514,sK1513,sK1514,sF1517,sK1516),
introduced(definition,[new_symbols(definition,[sF1518])],[function_definition]) ).
fof(f23380,plain,
k9_relset_2(sK1514,sK1513,sK1514,sF1517,sK1516) = sF1518,
inference(reorient_equations,[],[f23379]) ).
fof(f23381,definition,
sF1519 = k10_relset_1(sK1514,sK1514,sF1518,sK1515),
introduced(definition,[new_symbols(definition,[sF1519])],[function_definition]) ).
fof(f23382,plain,
k10_relset_1(sK1514,sK1514,sF1518,sK1515) = sF1519,
inference(reorient_equations,[],[f23381]) ).
fof(f23383,definition,
sF1520 = k2_funct_5(sK1516),
introduced(definition,[new_symbols(definition,[sF1520])],[function_definition]) ).
fof(f23384,plain,
k2_funct_5(sK1516) = sF1520,
inference(reorient_equations,[],[f23383]) ).
fof(f23385,plain,
( ~ r1_tarski(sK1515,sF1519)
| ~ r1_tarski(sK1515,sF1520) ),
inference(definition_folding,[],[f20489,f23384,f23382,f23380,f23378]) ).
fof(f23386,plain,
( r1_tarski(sK1515,sF1519)
| r1_tarski(sK1515,sF1520) ),
inference(definition_folding,[],[f20488,f23384,f23382,f23380,f23378]) ).
fof(f23387,definition,
sF1521 = k1_zfmisc_1(sK1514),
introduced(definition,[new_symbols(definition,[sF1521])],[function_definition]) ).
fof(f23388,plain,
k1_zfmisc_1(sK1514) = sF1521,
inference(reorient_equations,[],[f23387]) ).
fof(f23389,plain,
m1_subset_1(sK1515,sF1521),
inference(definition_folding,[],[f20486,f23388]) ).
fof(f23411,definition,
( spl1522_1
<=> r1_tarski(sK1515,sF1520) ),
introduced(definition,[new_symbols(definition,[spl1522_1])],[avatar_definition]) ).
fof(f23412,plain,
( ~ r1_tarski(sK1515,sF1520)
| spl1522_1 ),
inference(avatar_component_clause,[],[f23411]) ).
fof(f23413,plain,
( r1_tarski(sK1515,sF1520)
| ~ spl1522_1 ),
inference(avatar_component_clause,[],[f23411]) ).
fof(f23415,definition,
( spl1522_2
<=> r1_tarski(sK1515,sF1519) ),
introduced(definition,[new_symbols(definition,[spl1522_2])],[avatar_definition]) ).
fof(f23416,plain,
( ~ r1_tarski(sK1515,sF1519)
| spl1522_2 ),
inference(avatar_component_clause,[],[f23415]) ).
fof(f23417,plain,
( r1_tarski(sK1515,sF1519)
| ~ spl1522_2 ),
inference(avatar_component_clause,[],[f23415]) ).
fof(f23418,plain,
( spl1522_1
| spl1522_2 ),
inference(avatar_split_clause,[],[f23386,f23415,f23411]) ).
fof(f23419,plain,
( ~ spl1522_1
| ~ spl1522_2 ),
inference(avatar_split_clause,[],[f23385,f23415,f23411]) ).
fof(f27048,definition,
( spl1522_550
<=> m1_relset_1(sK1516,sK1513,sK1514) ),
introduced(definition,[new_symbols(definition,[spl1522_550])],[avatar_definition]) ).
fof(f27049,plain,
( m1_relset_1(sK1516,sK1513,sK1514)
| ~ spl1522_550 ),
inference(avatar_component_clause,[],[f27048]) ).
fof(f27050,plain,
( ~ m1_relset_1(sK1516,sK1513,sK1514)
| spl1522_550 ),
inference(avatar_component_clause,[],[f27048]) ).
fof(f27057,definition,
( spl1522_552
<=> m1_relset_1(sF1518,sK1514,sK1514) ),
introduced(definition,[new_symbols(definition,[spl1522_552])],[avatar_definition]) ).
fof(f27058,plain,
( m1_relset_1(sF1518,sK1514,sK1514)
| ~ spl1522_552 ),
inference(avatar_component_clause,[],[f27057]) ).
fof(f27059,plain,
( ~ m1_relset_1(sF1518,sK1514,sK1514)
| spl1522_552 ),
inference(avatar_component_clause,[],[f27057]) ).
fof(f27066,plain,
( r1_tarski(k2_funct_5(sF1518),k2_funct_5(sK1516))
| ~ m2_relset_1(sK1516,sK1513,sK1514)
| ~ m2_relset_1(sF1517,sK1514,sK1513) ),
inference(superposition,[],[f20482,f23380]) ).
fof(f27068,plain,
( r1_tarski(k2_funct_5(sF1518),k2_funct_5(sK1516))
| ~ m2_relset_1(sF1517,sK1514,sK1513) ),
inference(forward_subsumption_resolution,[],[f27066,f20487]) ).
fof(f27069,plain,
( r1_tarski(k2_funct_5(sF1518),sF1520)
| ~ m2_relset_1(sF1517,sK1514,sK1513) ),
inference(forward_demodulation,[],[f27068,f23384]) ).
fof(f27071,definition,
( spl1522_554
<=> m2_relset_1(sF1517,sK1514,sK1513) ),
introduced(definition,[new_symbols(definition,[spl1522_554])],[avatar_definition]) ).
fof(f27072,plain,
( m2_relset_1(sF1517,sK1514,sK1513)
| ~ spl1522_554 ),
inference(avatar_component_clause,[],[f27071]) ).
fof(f27073,plain,
( ~ m2_relset_1(sF1517,sK1514,sK1513)
| spl1522_554 ),
inference(avatar_component_clause,[],[f27071]) ).
fof(f27075,definition,
( spl1522_555
<=> r1_tarski(k2_funct_5(sF1518),sF1520) ),
introduced(definition,[new_symbols(definition,[spl1522_555])],[avatar_definition]) ).
fof(f27077,plain,
( r1_tarski(k2_funct_5(sF1518),sF1520)
| ~ spl1522_555 ),
inference(avatar_component_clause,[],[f27075]) ).
fof(f27078,plain,
( ~ spl1522_554
| spl1522_555 ),
inference(avatar_split_clause,[],[f27069,f27075,f27071]) ).
fof(f27083,plain,
( m2_relset_1(sF1518,sK1514,sK1514)
| ~ m1_subset_1(sF1517,k1_zfmisc_1(k2_zfmisc_1(sK1514,sK1513)))
| ~ m1_subset_1(sK1516,k1_zfmisc_1(k2_zfmisc_1(sK1513,sK1514))) ),
inference(superposition,[],[f20397,f23380]) ).
fof(f27085,definition,
( spl1522_556
<=> m1_subset_1(sK1516,k1_zfmisc_1(k2_zfmisc_1(sK1513,sK1514))) ),
introduced(definition,[new_symbols(definition,[spl1522_556])],[avatar_definition]) ).
fof(f27086,plain,
( m1_subset_1(sK1516,k1_zfmisc_1(k2_zfmisc_1(sK1513,sK1514)))
| ~ spl1522_556 ),
inference(avatar_component_clause,[],[f27085]) ).
fof(f27087,plain,
( ~ m1_subset_1(sK1516,k1_zfmisc_1(k2_zfmisc_1(sK1513,sK1514)))
| spl1522_556 ),
inference(avatar_component_clause,[],[f27085]) ).
fof(f27089,definition,
( spl1522_557
<=> m1_subset_1(sF1517,k1_zfmisc_1(k2_zfmisc_1(sK1514,sK1513))) ),
introduced(definition,[new_symbols(definition,[spl1522_557])],[avatar_definition]) ).
fof(f27091,plain,
( ~ m1_subset_1(sF1517,k1_zfmisc_1(k2_zfmisc_1(sK1514,sK1513)))
| spl1522_557 ),
inference(avatar_component_clause,[],[f27089]) ).
fof(f27093,definition,
( spl1522_558
<=> m2_relset_1(sF1518,sK1514,sK1514) ),
introduced(definition,[new_symbols(definition,[spl1522_558])],[avatar_definition]) ).
fof(f27095,plain,
( m2_relset_1(sF1518,sK1514,sK1514)
| ~ spl1522_558 ),
inference(avatar_component_clause,[],[f27093]) ).
fof(f27096,plain,
( ~ spl1522_556
| ~ spl1522_557
| spl1522_558 ),
inference(avatar_split_clause,[],[f27083,f27093,f27089,f27085]) ).
fof(f27103,definition,
( spl1522_559
<=> m1_relset_1(sF1517,sK1514,sK1513) ),
introduced(definition,[new_symbols(definition,[spl1522_559])],[avatar_definition]) ).
fof(f27104,plain,
( m1_relset_1(sF1517,sK1514,sK1513)
| ~ spl1522_559 ),
inference(avatar_component_clause,[],[f27103]) ).
fof(f27105,plain,
( ~ m1_relset_1(sF1517,sK1514,sK1513)
| spl1522_559 ),
inference(avatar_component_clause,[],[f27103]) ).
fof(f27113,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2) = k2_funct_5(k6_relset_1(X1,X2,X0)) ),
inference(resolution,[],[f13994,f20478]) ).
fof(f27115,plain,
( m2_relset_1(sF1517,sK1514,sK1513)
| ~ m1_relset_1(sK1516,sK1513,sK1514) ),
inference(superposition,[],[f13994,f23378]) ).
fof(f27117,plain,
( ~ m2_relset_1(sK1516,sK1513,sK1514)
| spl1522_556 ),
inference(resolution,[],[f27087,f13976]) ).
fof(f27118,plain,
( $false
| spl1522_556 ),
inference(forward_subsumption_resolution,[],[f27117,f20487]) ).
fof(f27119,plain,
spl1522_556,
inference(avatar_contradiction_clause,[],[f27118]) ).
fof(f27133,plain,
( ~ m2_relset_1(sF1517,sK1514,sK1513)
| spl1522_557 ),
inference(resolution,[],[f27091,f13976]) ).
fof(f27136,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f13896,f13976]) ).
fof(f27138,plain,
( v1_relat_1(sK1516)
| ~ spl1522_556 ),
inference(resolution,[],[f13896,f27086]) ).
fof(f27142,plain,
m1_relset_1(sK1516,sK1513,sK1514),
inference(resolution,[],[f13978,f20487]) ).
fof(f27145,plain,
( $false
| spl1522_550 ),
inference(forward_subsumption_resolution,[],[f27142,f27050]) ).
fof(f27146,plain,
spl1522_550,
inference(avatar_contradiction_clause,[],[f27145]) ).
fof(f27147,plain,
( ~ m1_relset_1(sK1516,sK1513,sK1514)
| spl1522_554 ),
inference(forward_subsumption_resolution,[],[f27115,f27073]) ).
fof(f27148,plain,
( $false
| ~ spl1522_550
| spl1522_554 ),
inference(forward_subsumption_resolution,[],[f27147,f27049]) ).
fof(f27149,plain,
( ~ spl1522_550
| spl1522_554 ),
inference(avatar_contradiction_clause,[],[f27148]) ).
fof(f27150,plain,
( $false
| ~ spl1522_554
| spl1522_557 ),
inference(forward_subsumption_resolution,[],[f27133,f27072]) ).
fof(f27151,plain,
( ~ spl1522_554
| spl1522_557 ),
inference(avatar_contradiction_clause,[],[f27150]) ).
fof(f27152,plain,
( ! [X0] :
( ~ r1_tarski(X0,k2_funct_5(sF1518))
| r1_tarski(X0,sF1520) )
| ~ spl1522_555 ),
inference(resolution,[],[f27077,f12390]) ).
fof(f27154,plain,
( m1_relset_1(sF1517,sK1514,sK1513)
| ~ spl1522_554 ),
inference(resolution,[],[f27072,f13978]) ).
fof(f27157,plain,
( k1_funct_5(sF1517) = k10_relset_1(sK1513,sK1514,k6_relset_1(sK1514,sK1513,sF1517),sK1513)
| ~ spl1522_554 ),
inference(resolution,[],[f27072,f20479]) ).
fof(f27161,plain,
( $false
| ~ spl1522_554
| spl1522_559 ),
inference(forward_subsumption_resolution,[],[f27154,f27105]) ).
fof(f27162,plain,
( ~ spl1522_554
| spl1522_559 ),
inference(avatar_contradiction_clause,[],[f27161]) ).
fof(f27165,plain,
( m1_relset_1(sF1518,sK1514,sK1514)
| ~ spl1522_558 ),
inference(resolution,[],[f27095,f13978]) ).
fof(f27166,plain,
( v1_relat_1(sF1518)
| ~ spl1522_558 ),
inference(resolution,[],[f27095,f27136]) ).
fof(f27170,plain,
( k2_funct_5(sF1518) = k10_relset_1(sK1514,sK1514,sF1518,sK1514)
| ~ spl1522_558 ),
inference(resolution,[],[f27095,f20478]) ).
fof(f27171,plain,
( $false
| spl1522_552
| ~ spl1522_558 ),
inference(forward_subsumption_resolution,[],[f27165,f27059]) ).
fof(f27172,plain,
( spl1522_552
| ~ spl1522_558 ),
inference(avatar_contradiction_clause,[],[f27171]) ).
fof(f27182,plain,
( ! [X0] : k10_relset_1(sK1514,sK1514,sF1518,X0) = k9_relat_1(sF1518,X0)
| ~ spl1522_552 ),
inference(resolution,[],[f27058,f14004]) ).
fof(f27187,plain,
( sF1519 = k9_relat_1(sF1518,sK1515)
| ~ spl1522_552 ),
inference(superposition,[],[f23382,f27182]) ).
fof(f27188,plain,
( k2_funct_5(sF1518) = k9_relat_1(sF1518,sK1514)
| ~ spl1522_552
| ~ spl1522_558 ),
inference(superposition,[],[f27170,f27182]) ).
fof(f27207,plain,
( k6_relset_1(sK1513,sK1514,sK1516) = k4_relat_1(sK1516)
| ~ spl1522_550 ),
inference(resolution,[],[f27049,f13996]) ).
fof(f27208,plain,
( sF1517 = k4_relat_1(sK1516)
| ~ spl1522_550 ),
inference(forward_demodulation,[],[f27207,f23378]) ).
fof(f27243,plain,
( k6_relset_1(sK1514,sK1513,sF1517) = k4_relat_1(sF1517)
| ~ spl1522_559 ),
inference(resolution,[],[f27104,f13996]) ).
fof(f27250,plain,
( ! [X0] :
( r1_tarski(X0,k10_relset_1(sK1514,sK1514,k9_relset_2(sK1514,sK1513,sK1514,sF1517,k4_relat_1(sF1517)),X0))
| ~ r1_tarski(X0,k1_funct_5(sF1517))
| ~ m2_relset_1(sF1517,sK1514,sK1513)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1514)) )
| ~ spl1522_559 ),
inference(superposition,[],[f20484,f27243]) ).
fof(f27251,plain,
( ! [X0] :
( r1_tarski(X0,k10_relset_1(sK1514,sK1514,k9_relset_2(sK1514,sK1513,sK1514,sF1517,k4_relat_1(sF1517)),X0))
| ~ r1_tarski(X0,k1_funct_5(sF1517))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1514)) )
| ~ spl1522_554
| ~ spl1522_559 ),
inference(forward_subsumption_resolution,[],[f27250,f27072]) ).
fof(f27253,plain,
( ! [X0] :
( r1_tarski(X0,k10_relset_1(sK1514,sK1514,k9_relset_2(sK1514,sK1513,sK1514,sF1517,k4_relat_1(sF1517)),X0))
| ~ m1_subset_1(X0,sF1521)
| ~ r1_tarski(X0,k1_funct_5(sF1517)) )
| ~ spl1522_554
| ~ spl1522_559 ),
inference(forward_demodulation,[],[f27251,f23388]) ).
fof(f27292,plain,
( ! [X0] :
( r1_tarski(sF1519,k9_relat_1(sF1518,X0))
| ~ r1_tarski(sK1515,X0)
| ~ v1_relat_1(sF1518) )
| ~ spl1522_552 ),
inference(superposition,[],[f13259,f27187]) ).
fof(f27307,plain,
( ! [X0] :
( r1_tarski(sF1519,k9_relat_1(sF1518,X0))
| ~ r1_tarski(sK1515,X0) )
| ~ spl1522_552
| ~ spl1522_558 ),
inference(forward_subsumption_resolution,[],[f27292,f27166]) ).
fof(f27324,plain,
( r1_tarski(sF1519,k2_funct_5(sF1518))
| ~ r1_tarski(sK1515,sK1514)
| ~ spl1522_552
| ~ spl1522_558 ),
inference(superposition,[],[f27307,f27188]) ).
fof(f27326,definition,
( spl1522_567
<=> r1_tarski(sK1515,sK1514) ),
introduced(definition,[new_symbols(definition,[spl1522_567])],[avatar_definition]) ).
fof(f27328,plain,
( ~ r1_tarski(sK1515,sK1514)
| spl1522_567 ),
inference(avatar_component_clause,[],[f27326]) ).
fof(f27330,definition,
( spl1522_568
<=> r1_tarski(sF1519,k2_funct_5(sF1518)) ),
introduced(definition,[new_symbols(definition,[spl1522_568])],[avatar_definition]) ).
fof(f27332,plain,
( r1_tarski(sF1519,k2_funct_5(sF1518))
| ~ spl1522_568 ),
inference(avatar_component_clause,[],[f27330]) ).
fof(f27333,plain,
( ~ spl1522_567
| spl1522_568
| ~ spl1522_552
| ~ spl1522_558 ),
inference(avatar_split_clause,[],[f27324,f27093,f27057,f27330,f27326]) ).
fof(f27393,plain,
! [X0] :
( ~ m1_subset_1(X0,sF1521)
| r1_tarski(X0,sK1514) ),
inference(superposition,[],[f13016,f23388]) ).
fof(f27493,plain,
( k1_funct_5(sF1517) = k10_relset_1(sK1513,sK1514,k4_relat_1(sF1517),sK1513)
| ~ spl1522_554
| ~ spl1522_559 ),
inference(superposition,[],[f27157,f27243]) ).
fof(f27848,plain,
( k10_relset_1(sK1513,sK1514,k6_relset_1(sK1514,sK1513,sF1517),sK1513) = k2_funct_5(k6_relset_1(sK1514,sK1513,sF1517))
| ~ spl1522_559 ),
inference(resolution,[],[f27113,f27104]) ).
fof(f27849,plain,
( k10_relset_1(sK1513,sK1514,k4_relat_1(sF1517),sK1513) = k2_funct_5(k4_relat_1(sF1517))
| ~ spl1522_559 ),
inference(forward_demodulation,[],[f27848,f27243]) ).
fof(f27852,plain,
( k1_funct_5(sF1517) = k2_funct_5(k4_relat_1(sF1517))
| ~ spl1522_554
| ~ spl1522_559 ),
inference(forward_demodulation,[],[f27849,f27493]) ).
fof(f27877,plain,
( sF1519 = k2_xboole_0(sK1515,sF1519)
| ~ spl1522_2 ),
inference(resolution,[],[f12401,f23417]) ).
fof(f27889,plain,
( ! [X0] :
( ~ r1_tarski(sF1519,X0)
| r1_tarski(sK1515,X0) )
| ~ spl1522_2 ),
inference(superposition,[],[f12400,f27877]) ).
fof(f28122,plain,
r1_tarski(sK1515,sK1514),
inference(resolution,[],[f27393,f23389]) ).
fof(f28125,plain,
( $false
| spl1522_567 ),
inference(forward_subsumption_resolution,[],[f28122,f27328]) ).
fof(f28126,plain,
spl1522_567,
inference(avatar_contradiction_clause,[],[f28125]) ).
fof(f28159,plain,
( r1_tarski(sF1519,sF1520)
| ~ spl1522_555
| ~ spl1522_568 ),
inference(resolution,[],[f27332,f27152]) ).
fof(f28169,plain,
( r1_tarski(sK1515,sF1520)
| ~ spl1522_2
| ~ spl1522_555
| ~ spl1522_568 ),
inference(resolution,[],[f28159,f27889]) ).
fof(f28183,plain,
( $false
| spl1522_1
| ~ spl1522_2
| ~ spl1522_555
| ~ spl1522_568 ),
inference(forward_subsumption_resolution,[],[f28169,f23412]) ).
fof(f28184,plain,
( spl1522_1
| ~ spl1522_2
| ~ spl1522_555
| ~ spl1522_568 ),
inference(avatar_contradiction_clause,[],[f28183]) ).
fof(f28992,plain,
( sK1516 = k4_relat_1(k4_relat_1(sK1516))
| ~ spl1522_556 ),
inference(resolution,[],[f13311,f27138]) ).
fof(f28995,plain,
( sK1516 = k4_relat_1(sF1517)
| ~ spl1522_550
| ~ spl1522_556 ),
inference(forward_demodulation,[],[f28992,f27208]) ).
fof(f28998,plain,
( ! [X0] :
( r1_tarski(X0,k10_relset_1(sK1514,sK1514,k9_relset_2(sK1514,sK1513,sK1514,sF1517,sK1516),X0))
| ~ m1_subset_1(X0,sF1521)
| ~ r1_tarski(X0,k1_funct_5(sF1517)) )
| ~ spl1522_550
| ~ spl1522_554
| ~ spl1522_556
| ~ spl1522_559 ),
inference(superposition,[],[f27253,f28995]) ).
fof(f29001,plain,
( k2_funct_5(sK1516) = k1_funct_5(sF1517)
| ~ spl1522_550
| ~ spl1522_554
| ~ spl1522_556
| ~ spl1522_559 ),
inference(superposition,[],[f27852,f28995]) ).
fof(f29002,plain,
( sF1520 = k1_funct_5(sF1517)
| ~ spl1522_550
| ~ spl1522_554
| ~ spl1522_556
| ~ spl1522_559 ),
inference(forward_demodulation,[],[f29001,f23384]) ).
fof(f29005,plain,
( ! [X0] :
( r1_tarski(X0,k10_relset_1(sK1514,sK1514,sF1518,X0))
| ~ m1_subset_1(X0,sF1521)
| ~ r1_tarski(X0,k1_funct_5(sF1517)) )
| ~ spl1522_550
| ~ spl1522_554
| ~ spl1522_556
| ~ spl1522_559 ),
inference(forward_demodulation,[],[f28998,f23380]) ).
fof(f29006,plain,
( ! [X0] :
( r1_tarski(X0,k9_relat_1(sF1518,X0))
| ~ m1_subset_1(X0,sF1521)
| ~ r1_tarski(X0,k1_funct_5(sF1517)) )
| ~ spl1522_550
| ~ spl1522_552
| ~ spl1522_554
| ~ spl1522_556
| ~ spl1522_559 ),
inference(forward_demodulation,[],[f29005,f27182]) ).
fof(f29007,plain,
( ! [X0] :
( r1_tarski(X0,k9_relat_1(sF1518,X0))
| ~ r1_tarski(X0,sF1520)
| ~ m1_subset_1(X0,sF1521) )
| ~ spl1522_550
| ~ spl1522_552
| ~ spl1522_554
| ~ spl1522_556
| ~ spl1522_559 ),
inference(forward_demodulation,[],[f29006,f29002]) ).
fof(f29018,plain,
( r1_tarski(sK1515,sF1519)
| ~ r1_tarski(sK1515,sF1520)
| ~ m1_subset_1(sK1515,sF1521)
| ~ spl1522_550
| ~ spl1522_552
| ~ spl1522_554
| ~ spl1522_556
| ~ spl1522_559 ),
inference(superposition,[],[f29007,f27187]) ).
fof(f29020,plain,
( ~ r1_tarski(sK1515,sF1520)
| ~ m1_subset_1(sK1515,sF1521)
| spl1522_2
| ~ spl1522_550
| ~ spl1522_552
| ~ spl1522_554
| ~ spl1522_556
| ~ spl1522_559 ),
inference(forward_subsumption_resolution,[],[f29018,f23416]) ).
fof(f29022,plain,
( ~ m1_subset_1(sK1515,sF1521)
| ~ spl1522_1
| spl1522_2
| ~ spl1522_550
| ~ spl1522_552
| ~ spl1522_554
| ~ spl1522_556
| ~ spl1522_559 ),
inference(forward_subsumption_resolution,[],[f29020,f23413]) ).
fof(f29024,plain,
( $false
| ~ spl1522_1
| spl1522_2
| ~ spl1522_550
| ~ spl1522_552
| ~ spl1522_554
| ~ spl1522_556
| ~ spl1522_559 ),
inference(forward_subsumption_resolution,[],[f29022,f23389]) ).
fof(f29025,plain,
( ~ spl1522_1
| spl1522_2
| ~ spl1522_550
| ~ spl1522_552
| ~ spl1522_554
| ~ spl1522_556
| ~ spl1522_559 ),
inference(avatar_contradiction_clause,[],[f29024]) ).
cnf(s1,plain,
( spl1522_1
| spl1522_2 ),
inference(sat_conversion,[],[f23418]) ).
cnf(s2,plain,
( ~ spl1522_1
| ~ spl1522_2 ),
inference(sat_conversion,[],[f23419]) ).
cnf(s480,plain,
( ~ spl1522_554
| spl1522_555 ),
inference(sat_conversion,[],[f27078]) ).
cnf(s481,plain,
( ~ spl1522_556
| ~ spl1522_557
| spl1522_558 ),
inference(sat_conversion,[],[f27096]) ).
cnf(s483,plain,
spl1522_556,
inference(sat_conversion,[],[f27119]) ).
cnf(s484,plain,
spl1522_550,
inference(sat_conversion,[],[f27146]) ).
cnf(s485,plain,
( ~ spl1522_550
| spl1522_554 ),
inference(sat_conversion,[],[f27149]) ).
cnf(s486,plain,
( ~ spl1522_554
| spl1522_557 ),
inference(sat_conversion,[],[f27151]) ).
cnf(s487,plain,
( ~ spl1522_554
| spl1522_559 ),
inference(sat_conversion,[],[f27162]) ).
cnf(s488,plain,
( spl1522_552
| ~ spl1522_558 ),
inference(sat_conversion,[],[f27172]) ).
cnf(s492,plain,
( ~ spl1522_552
| ~ spl1522_558
| ~ spl1522_567
| spl1522_568 ),
inference(sat_conversion,[],[f27333]) ).
cnf(s519,plain,
spl1522_567,
inference(sat_conversion,[],[f28126]) ).
cnf(s524,plain,
( spl1522_1
| ~ spl1522_2
| ~ spl1522_555
| ~ spl1522_568 ),
inference(sat_conversion,[],[f28184]) ).
cnf(s561,plain,
( ~ spl1522_1
| spl1522_2
| ~ spl1522_550
| ~ spl1522_552
| ~ spl1522_554
| ~ spl1522_556
| ~ spl1522_559 ),
inference(sat_conversion,[],[f29025]) ).
cnf(s571,plain,
( ~ spl1522_552
| ~ spl1522_558
| spl1522_568 ),
inference(rat,[],[s492,s519]) ).
cnf(s573,plain,
spl1522_554,
inference(rat,[],[s485,s484]) ).
cnf(s574,plain,
spl1522_559,
inference(rat,[],[s487,s573]) ).
cnf(s575,plain,
spl1522_557,
inference(rat,[],[s486,s573]) ).
cnf(s579,plain,
spl1522_558,
inference(rat,[],[s481,s575,s483]) ).
cnf(s581,plain,
spl1522_552,
inference(rat,[],[s488,s579]) ).
cnf(s587,plain,
spl1522_568,
inference(rat,[],[s571,s579,s581]) ).
cnf(s588,plain,
spl1522_555,
inference(rat,[],[s480,s573]) ).
cnf(s605,plain,
spl1522_1,
inference(rat,[],[s1,s524,s588,s587]) ).
cnf(s606,plain,
spl1522_2,
inference(rat,[],[s561,s574,s483,s573,s581,s484,s605]) ).
cnf(s607,plain,
$false,
inference(rat,[],[s2,s606,s605]) ).
fof(f29026,plain,
$false,
inference(avatar_sat_refutation,[],[s607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU443+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 05:35:03 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.80/3.04 % (2309142)Detected formulas, will run a generic FOF schedule.
% 14.80/3.04 % (2309149)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=3527462491:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 14.80/3.04 % (2309152)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2940633426:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 14.80/3.04 % (2309151)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1707046931:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 14.80/3.04 % (2309148)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=4266540383:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 14.80/3.04 % (2309150)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=49506313:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 14.80/3.04 % (2309147)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=2050533268:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 14.80/3.04 % (2309153)dis-21_1_sil=8000:lcm=predicate:random_seed=3787291872: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)
% 14.80/3.04 % (2309151)Instruction limit reached!
% 14.80/3.04 % (2309151)------------------------------
% 14.80/3.04 % (2309151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.04 % (2309151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.04 % (2309151)CaDiCaL version: 2.1.3
% 14.80/3.04 % (2309151)Termination reason: Instruction limit
% 14.80/3.04 % (2309151)Termination phase: Saturation
% 14.80/3.04 % (2309151)Time elapsed: 0.074 s
% 14.80/3.04 % (2309151)Peak memory usage: 94 MB
% 14.80/3.04 % (2309151)Instructions burned: 119 (million)
% 14.80/3.04 % (2309150)Instruction limit reached!
% 14.80/3.04 % (2309150)------------------------------
% 14.80/3.04 % (2309150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.04 % (2309150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.04 % (2309150)CaDiCaL version: 2.1.3
% 14.80/3.04 % (2309150)Termination reason: Instruction limit
% 14.80/3.04 % (2309150)Termination phase: Saturation
% 14.80/3.04 % (2309150)Time elapsed: 0.078 s
% 14.80/3.04 % (2309150)Peak memory usage: 94 MB
% 14.80/3.04 % (2309150)Instructions burned: 110 (million)
% 14.80/3.04 % (2309152)Instruction limit reached!
% 14.80/3.04 % (2309152)------------------------------
% 14.80/3.04 % (2309152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.04 % (2309152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.04 % (2309152)CaDiCaL version: 2.1.3
% 14.80/3.04 % (2309152)Termination reason: Instruction limit
% 14.80/3.04 % (2309152)Termination phase: Preprocessing 3
% 14.80/3.04 % (2309152)Time elapsed: 0.087 s
% 14.80/3.04 % (2309152)Peak memory usage: 94 MB
% 14.80/3.04 % (2309152)Instructions burned: 140 (million)
% 14.80/3.04 % (2309153)Instruction limit reached!
% 14.80/3.04 % (2309153)------------------------------
% 14.80/3.04 % (2309153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/3.04 % (2309153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/3.04 % (2309153)CaDiCaL version: 2.1.3
% 14.80/3.04 % (2309153)Termination reason: Instruction limit
% 14.80/3.04 % (2309153)Termination phase: Preprocessing 3
% 14.80/3.04 % (2309153)Time elapsed: 0.087 s
% 14.80/3.04 % (2309153)Peak memory usage: 94 MB
% 14.80/3.04 % (2309153)Instructions burned: 129 (million)
% 14.80/3.04 % (2309161)lrs+10_1_sil=8000:sp=occurrence:random_seed=2177198958:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 14.80/3.04 % (2309163)lrs+1011_1_sil=32000:sp=occurrence:random_seed=888221077:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 14.80/3.04 % (2309162)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3739872514:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 14.80/3.04 % (2309164)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=928019785:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.80/3.04 % (2309162)Instruction limit reached!
% 20.30/3.97 % (2309162)------------------------------
% 20.30/3.97 % (2309162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.97 % (2309162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.97 % (2309162)CaDiCaL version: 2.1.3
% 20.30/3.97 % (2309162)Termination reason: Instruction limit
% 20.30/3.97 % (2309162)Termination phase: Saturation
% 20.30/3.97 % (2309162)Time elapsed: 0.092 s
% 20.30/3.97 % (2309162)Peak memory usage: 95 MB
% 20.30/3.97 % (2309162)Instructions burned: 158 (million)
% 20.30/3.97 % (2309164)Instruction limit reached!
% 20.30/3.97 % (2309164)------------------------------
% 20.30/3.97 % (2309164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.97 % (2309164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.97 % (2309164)CaDiCaL version: 2.1.3
% 20.30/3.97 % (2309164)Termination reason: Instruction limit
% 20.30/3.97 % (2309164)Termination phase: Property scanning
% 20.30/3.97 % (2309164)Time elapsed: 0.142 s
% 20.30/3.97 % (2309164)Peak memory usage: 99 MB
% 20.30/3.97 % (2309164)Instructions burned: 250 (million)
% 20.30/3.97 % (2309161)Instruction limit reached!
% 20.30/3.97 % (2309161)------------------------------
% 20.30/3.97 % (2309161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.97 % (2309161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.97 % (2309161)CaDiCaL version: 2.1.3
% 20.30/3.97 % (2309161)Termination reason: Instruction limit
% 20.30/3.97 % (2309161)Termination phase: Saturation
% 20.30/3.97 % (2309161)Time elapsed: 0.185 s
% 20.30/3.97 % (2309161)Peak memory usage: 98 MB
% 20.30/3.97 % (2309161)Instructions burned: 286 (million)
% 20.30/3.97 % (2309163)Instruction limit reached!
% 20.30/3.97 % (2309163)------------------------------
% 20.30/3.97 % (2309163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.97 % (2309163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.97 % (2309163)CaDiCaL version: 2.1.3
% 20.30/3.97 % (2309163)Termination reason: Instruction limit
% 20.30/3.97 % (2309163)Termination phase: Saturation
% 20.30/3.97 % (2309163)Time elapsed: 0.227 s
% 20.30/3.97 % (2309163)Peak memory usage: 97 MB
% 20.30/3.97 % (2309163)Instructions burned: 326 (million)
% 20.30/3.97 % (2309169)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1131451927:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 20.30/3.97 % (2309170)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2516442673:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 20.30/3.97 % (2309171)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3743398682:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 20.30/3.97 % (2309172)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3395675737:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 20.30/3.97 % (2309171)Instruction limit reached!
% 20.30/3.97 % (2309171)------------------------------
% 20.30/3.97 % (2309171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.97 % (2309171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.97 % (2309171)CaDiCaL version: 2.1.3
% 20.30/3.97 % (2309171)Termination reason: Instruction limit
% 20.30/3.97 % (2309171)Termination phase: Saturation
% 20.30/3.97 % (2309171)Time elapsed: 0.068 s
% 20.30/3.97 % (2309171)Peak memory usage: 95 MB
% 20.30/3.97 % (2309171)Instructions burned: 114 (million)
% 20.30/3.97 % (2309169)Instruction limit reached!
% 20.30/3.97 % (2309169)------------------------------
% 20.30/3.97 % (2309169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.97 % (2309169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.97 % (2309169)CaDiCaL version: 2.1.3
% 20.30/3.97 % (2309169)Termination reason: Instruction limit
% 20.30/3.97 % (2309169)Termination phase: Saturation
% 20.30/3.97 % (2309169)Time elapsed: 0.182 s
% 20.30/3.97 % (2309169)Peak memory usage: 97 MB
% 20.30/3.97 % (2309169)Instructions burned: 295 (million)
% 20.30/3.97 % (2309172)Instruction limit reached!
% 20.30/3.97 % (2309172)------------------------------
% 20.30/3.97 % (2309172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.30/3.97 % (2309172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.97 % (2309172)CaDiCaL version: 2.1.3
% 20.30/3.97 % (2309172)Termination reason: Instruction limit
% 23.74/4.39 % (2309172)Termination phase: Preprocessing 3
% 23.74/4.39 % (2309172)Time elapsed: 0.084 s
% 23.74/4.39 % (2309172)Peak memory usage: 97 MB
% 23.74/4.39 % (2309172)Instructions burned: 128 (million)
% 23.74/4.39 % (2309177)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4095508080:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 23.74/4.39 % (2309178)lrs+10_1_sil=8000:sp=occurrence:random_seed=1970710932:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 23.74/4.39 % (2309179)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1489859870:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 23.74/4.39 % (2309177)Instruction limit reached!
% 23.74/4.39 % (2309177)------------------------------
% 23.74/4.39 % (2309177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.39 % (2309177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.39 % (2309177)CaDiCaL version: 2.1.3
% 23.74/4.39 % (2309177)Termination reason: Instruction limit
% 23.74/4.39 % (2309177)Termination phase: SInE selection
% 23.74/4.39 % (2309177)Time elapsed: 0.055 s
% 23.74/4.39 % (2309177)Peak memory usage: 90 MB
% 23.74/4.39 % (2309177)Instructions burned: 115 (million)
% 23.74/4.39 % (2309183)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2029180883:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 23.74/4.39 % (2309179)Instruction limit reached!
% 23.74/4.39 % (2309179)------------------------------
% 23.74/4.39 % (2309179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.39 % (2309179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.39 % (2309179)CaDiCaL version: 2.1.3
% 23.74/4.39 % (2309179)Termination reason: Instruction limit
% 23.74/4.39 % (2309179)Termination phase: Saturation
% 23.74/4.39 % (2309179)Time elapsed: 0.285 s
% 23.74/4.39 % (2309179)Peak memory usage: 98 MB
% 23.74/4.39 % (2309179)Instructions burned: 438 (million)
% 23.74/4.39 % (2309185)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2769385134:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 23.74/4.39 % (2309185)Instruction limit reached!
% 23.74/4.39 % (2309185)------------------------------
% 23.74/4.39 % (2309185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.39 % (2309185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.39 % (2309185)CaDiCaL version: 2.1.3
% 23.74/4.39 % (2309185)Termination reason: Instruction limit
% 23.74/4.39 % (2309185)Termination phase: Saturation
% 23.74/4.39 % (2309185)Time elapsed: 0.087 s
% 23.74/4.39 % (2309185)Peak memory usage: 96 MB
% 23.74/4.39 % (2309185)Instructions burned: 140 (million)
% 23.74/4.39 % (2309178)Instruction limit reached!
% 23.74/4.39 % (2309178)------------------------------
% 23.74/4.39 % (2309178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.39 % (2309178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.39 % (2309178)CaDiCaL version: 2.1.3
% 23.74/4.39 % (2309178)Termination reason: Instruction limit
% 23.74/4.39 % (2309178)Termination phase: Saturation
% 23.74/4.39 % (2309178)Time elapsed: 0.621 s
% 23.74/4.39 % (2309178)Peak memory usage: 107 MB
% 23.74/4.39 % (2309178)Instructions burned: 908 (million)
% 23.74/4.39 % (2309187)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=25834558:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 23.74/4.39 % (2309188)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=114488037:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 23.74/4.39 % (2309187)Instruction limit reached!
% 23.74/4.39 % (2309187)------------------------------
% 23.74/4.39 % (2309187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.39 % (2309187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.39 % (2309187)CaDiCaL version: 2.1.3
% 23.74/4.39 % (2309187)Termination reason: Instruction limit
% 23.74/4.39 % (2309187)Termination phase: Saturation
% 23.74/4.39 % (2309187)Time elapsed: 0.320 s
% 23.74/4.39 % (2309187)Peak memory usage: 106 MB
% 23.74/4.39 % (2309187)Instructions burned: 593 (million)
% 23.74/4.39 % (2309191)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=2042337905:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 23.74/4.39 % (2309191)Instruction limit reached!
% 23.74/4.39 % (2309191)------------------------------
% 23.74/4.39 % (2309191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.39 % (2309191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.39 % (2309191)CaDiCaL version: 2.1.3
% 23.74/4.39 % (2309191)Termination reason: Instruction limit
% 23.74/4.39 % (2309191)Termination phase: Function definition elimination
% 23.74/4.39 % (2309191)Time elapsed: 0.071 s
% 23.74/4.39 % (2309191)Peak memory usage: 92 MB
% 23.74/4.39 % (2309191)Instructions burned: 126 (million)
% 23.74/4.39 % (2309170)Instruction limit reached!
% 23.74/4.39 % (2309170)------------------------------
% 23.74/4.39 % (2309170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.39 % (2309170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.39 % (2309170)CaDiCaL version: 2.1.3
% 23.74/4.39 % (2309170)Termination reason: Instruction limit
% 23.74/4.39 % (2309170)Termination phase: Saturation
% 23.74/4.39 % (2309170)Time elapsed: 1.500 s
% 23.74/4.39 % (2309170)Peak memory usage: 229 MB
% 23.74/4.39 % (2309170)Instructions burned: 2351 (million)
% 23.74/4.39 % (2309193)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1769060746:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 23.74/4.39 % (2309193)Instruction limit reached!
% 23.74/4.39 % (2309193)------------------------------
% 23.74/4.39 % (2309193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.39 % (2309193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.39 % (2309193)CaDiCaL version: 2.1.3
% 23.74/4.39 % (2309193)Termination reason: Instruction limit
% 23.74/4.39 % (2309193)Termination phase: Preprocessing 1
% 23.74/4.39 % (2309193)Time elapsed: 0.069 s
% 23.74/4.39 % (2309193)Peak memory usage: 90 MB
% 23.74/4.39 % (2309193)Instructions burned: 135 (million)
% 23.74/4.39 % (2309194)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=556726416:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 23.74/4.39 % (2309194)Instruction limit reached!
% 23.74/4.39 % (2309194)------------------------------
% 23.74/4.39 % (2309194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.39 % (2309194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.39 % (2309194)CaDiCaL version: 2.1.3
% 23.74/4.39 % (2309194)Termination reason: Instruction limit
% 23.74/4.39 % (2309194)Termination phase: Saturation
% 23.74/4.39 % (2309194)Time elapsed: 0.099 s
% 23.74/4.39 % (2309194)Peak memory usage: 95 MB
% 23.74/4.39 % (2309194)Instructions burned: 141 (million)
% 23.74/4.39 % (2309196)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=475542399:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 23.74/4.39 % (2309198)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=3760440290:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 23.74/4.39 % (2309196)Instruction limit reached!
% 23.74/4.39 % (2309196)------------------------------
% 23.74/4.39 % (2309196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.39 % (2309196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.39 % (2309196)CaDiCaL version: 2.1.3
% 23.74/4.39 % (2309196)Termination reason: Instruction limit
% 23.74/4.39 % (2309196)Termination phase: Saturation
% 23.74/4.39 % (2309196)Time elapsed: 0.279 s
% 23.74/4.39 % (2309196)Peak memory usage: 97 MB
% 23.74/4.39 % (2309196)Instructions burned: 432 (million)
% 23.74/4.39 % (2309201)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=156101990:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 23.74/4.39 % (2309201)Instruction limit reached!
% 23.74/4.39 % (2309201)------------------------------
% 23.74/4.39 % (2309201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.74/4.39 % (2309201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/4.39 % (2309201)CaDiCaL version: 2.1.3
% 23.74/4.39 % (2309201)Termination reason: Instruction limit
% 23.74/4.39 % (2309201)Termination phase: Property scanning
% 23.74/4.39 % (2309201)Time elapsed: 0.116 s
% 23.74/4.39 % (2309201)Peak memory usage: 98 MB
% 23.74/4.39 % (2309201)Instructions burned: 174 (million)
% 23.74/4.39 % (2309147)First to succeed.
% 23.74/4.39 % (2309203)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2543902722:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 23.74/4.39 % (2309147)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2309142"
% 23.74/4.39 % (2309147)Refutation found. Thanks to Tanya!
% 23.74/4.39 % SZS status Theorem for theBenchmark
% 23.74/4.39 % SZS output start Proof for theBenchmark
% See solution above
% 24.50/4.59 % (2309147)------------------------------
% 24.50/4.59 % (2309147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.50/4.59 % (2309147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.50/4.59 % (2309147)CaDiCaL version: 2.1.3
% 24.50/4.59 % (2309147)Termination reason: Refutation
% 24.50/4.59 % (2309147)Time elapsed: 2.930 s
% 24.50/4.59 % (2309147)Peak memory usage: 248 MB
% 24.50/4.59 % (2309147)Instructions burned: 4916 (million)
% 24.50/4.59 % (2309147)------------------------------
% 24.50/4.59 % (2309147)------------------------------
% 24.50/4.59 % (2309142)Success in time 3.531 s
% 24.50/4.59 % Vampire exiting
%------------------------------------------------------------------------------