%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT345+1 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:08 AM UTC 2026
% Result : Theorem 6.65s 1.77s
% Output : Refutation 8.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 22
% Syntax : Number of formulae : 207 ( 36 unt; 7 def)
% Number of atoms : 704 ( 163 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 845 ( 348 ~; 390 |; 75 &)
% ( 11 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 8 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 206 ( 0 sgn 202 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( ( v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_conlat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( ( v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) = X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l2_conlat_1(X0)
=> ( v4_conlat_1(X0)
=> X0 = g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v4_conlat_1) ).
fof(f6,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(f8,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_conlat_2) ).
fof(f9,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( l3_conlat_1(X1,X0)
=> ! [X2] :
( ( v6_conlat_1(X2,k7_conlat_2(X0))
& l3_conlat_1(X2,k7_conlat_2(X0)) )
=> ( X2 = k8_conlat_2(X0,X1)
<=> ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_conlat_2) ).
fof(f17,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& l2_conlat_1(k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
fof(f18,axiom,
! [X0,X1] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0)
& l3_conlat_1(X1,X0) )
=> ( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_conlat_2) ).
fof(f19,axiom,
! [X0,X1] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> ( v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_conlat_2) ).
fof(f25,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/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f28,axiom,
! [X0] :
( l2_conlat_1(X0)
=> m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u3_conlat_1) ).
fof(f42,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ! [X3,X4,X5] :
( g2_conlat_1(X0,X1,X2) = g2_conlat_1(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g2_conlat_1) ).
fof(f44,axiom,
! [X0] :
( v1_relat_1(X0)
=> k4_relat_1(k4_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(f59,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f60,axiom,
! [X0,X1] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_conlat_2) ).
fof(f61,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f72,plain,
? [X0] :
( ? [X1] :
( k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) != X1
& v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
& ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f73,plain,
? [X0] :
( ? [X1] :
( k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) != X1
& v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
& ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0] :
( X0 = g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f75,plain,
! [X0] :
( X0 = g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f74]) ).
fof(f79,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f82,plain,
! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f83,plain,
! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k8_conlat_2(X0,X1)
<=> ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) ) )
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k8_conlat_2(X0,X1)
<=> ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) ) )
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f84]) ).
fof(f91,plain,
! [X0] :
( ( ~ v3_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& l2_conlat_1(k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f92,plain,
! [X0] :
( ( ~ v3_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& l2_conlat_1(k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f94,plain,
! [X0,X1] :
( ( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( ( v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f96,plain,
! [X0,X1] :
( ( v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(flattening,[],[f95]) ).
fof(f98,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,[],[f25]) ).
fof(f99,plain,
! [X0] :
( m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5) )
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f114,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f130,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f131,plain,
! [X0,X1] :
( k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f132,plain,
! [X0,X1] :
( k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(flattening,[],[f131]) ).
fof(f142,plain,
( sK1 != k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
& v6_conlat_1(sK1,sK0)
& ~ v7_conlat_1(sK1,sK0)
& v9_conlat_1(sK1,sK0)
& l3_conlat_1(sK1,sK0)
& ~ v3_conlat_1(sK0)
& v4_conlat_1(sK0)
& l2_conlat_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f73]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k8_conlat_2(X0,X1)
| u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2)
| u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2) )
& ( ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) )
| k8_conlat_2(X0,X1) != X2 ) )
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(nnf_transformation,[],[f85]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k8_conlat_2(X0,X1)
| u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2)
| u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2) )
& ( ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) )
| k8_conlat_2(X0,X1) != X2 ) )
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f143]) ).
fof(f164,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,[],[f61]) ).
fof(f166,plain,
l2_conlat_1(sK0),
inference(cnf_transformation,[],[f142]) ).
fof(f167,plain,
v4_conlat_1(sK0),
inference(cnf_transformation,[],[f142]) ).
fof(f168,plain,
~ v3_conlat_1(sK0),
inference(cnf_transformation,[],[f142]) ).
fof(f169,plain,
l3_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f142]) ).
fof(f170,plain,
v9_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f142]) ).
fof(f171,plain,
~ v7_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f142]) ).
fof(f172,plain,
v6_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f142]) ).
fof(f173,plain,
sK1 != k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),
inference(cnf_transformation,[],[f142]) ).
fof(f174,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| ~ v4_conlat_1(X0)
| g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f75]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f179,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f180,plain,
! [X2,X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
| k8_conlat_2(X0,X1) != X2
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f181,plain,
! [X2,X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2)
| k8_conlat_2(X0,X1) != X2
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f182,plain,
! [X2,X0,X1] :
( u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2)
| k8_conlat_2(X0,X1) = X2
| u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2)
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f189,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| l2_conlat_1(k7_conlat_2(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f190,plain,
! [X0] :
( v4_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f191,plain,
! [X0] :
( ~ v3_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f192,plain,
! [X0,X1] :
( l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f193,plain,
! [X0,X1] :
( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f194,plain,
! [X0,X1] :
( l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f195,plain,
! [X0,X1] :
( v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f196,plain,
! [X0,X1] :
( ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f199,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,[],[f98]) ).
fof(f200,plain,
! [X0] :
( m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,X0,X1)
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| X2 = X5 ),
inference(cnf_transformation,[],[f111]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,X0,X1)
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| X1 = X4 ),
inference(cnf_transformation,[],[f111]) ).
fof(f216,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,X0,X1)
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f111]) ).
fof(f220,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f114]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f253,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f255,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f266,plain,
! [X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f181]) ).
fof(f267,plain,
! [X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f180]) ).
fof(f268,plain,
! [X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f267,f193]) ).
fof(f269,plain,
! [X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f266,f193]) ).
fof(f270,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f268,f192]) ).
fof(f271,plain,
! [X0,X1] :
( ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f269,f192]) ).
fof(f272,plain,
! [X0] :
( v3_conlat_1(sK0)
| k9_conlat_2(sK0,X0) = k8_conlat_2(sK0,X0)
| v7_conlat_1(X0,sK0)
| ~ v9_conlat_1(X0,sK0)
| ~ l3_conlat_1(X0,sK0) ),
inference(resolution,[],[f166,f253]) ).
fof(f273,plain,
! [X0] :
( ~ l3_conlat_1(X0,sK0)
| v7_conlat_1(X0,sK0)
| ~ v9_conlat_1(X0,sK0)
| k9_conlat_2(sK0,X0) = k8_conlat_2(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f272,f168]) ).
fof(f274,plain,
( v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| k9_conlat_2(sK0,sK1) = k8_conlat_2(sK0,sK1) ),
inference(resolution,[],[f273,f169]) ).
fof(f275,plain,
( ~ v9_conlat_1(sK1,sK0)
| k9_conlat_2(sK0,sK1) = k8_conlat_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f274,f171]) ).
fof(f276,plain,
k9_conlat_2(sK0,sK1) = k8_conlat_2(sK0,sK1),
inference(forward_subsumption_resolution,[],[f275,f170]) ).
fof(f277,plain,
sK1 != k9_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)),
inference(superposition,[],[f173,f276]) ).
fof(f278,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(superposition,[],[f195,f276]) ).
fof(f281,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f278,f168]) ).
fof(f282,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f281,f166]) ).
fof(f283,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f282,f171]) ).
fof(f284,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f283,f170]) ).
fof(f285,plain,
v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)),
inference(forward_subsumption_resolution,[],[f284,f169]) ).
fof(f286,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(superposition,[],[f196,f276]) ).
fof(f287,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f286,f168]) ).
fof(f288,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f287,f166]) ).
fof(f289,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f288,f171]) ).
fof(f290,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f289,f170]) ).
fof(f291,plain,
~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)),
inference(forward_subsumption_resolution,[],[f290,f169]) ).
fof(f292,plain,
! [X0] :
( ~ l3_conlat_1(X0,sK0)
| v3_conlat_1(sK0)
| u4_conlat_1(sK0,X0) = u5_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) ),
inference(resolution,[],[f270,f166]) ).
fof(f293,plain,
! [X0] :
( ~ l3_conlat_1(X0,sK0)
| u4_conlat_1(sK0,X0) = u5_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f292,f168]) ).
fof(f294,plain,
( v3_conlat_1(sK0)
| k7_conlat_2(sK0) = g2_conlat_1(u2_conlat_1(sK0),u1_conlat_1(sK0),k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0))) ),
inference(resolution,[],[f179,f166]) ).
fof(f295,plain,
k7_conlat_2(sK0) = g2_conlat_1(u2_conlat_1(sK0),u1_conlat_1(sK0),k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0))),
inference(forward_subsumption_resolution,[],[f294,f168]) ).
fof(f296,plain,
! [X0] :
( ~ l3_conlat_1(X0,sK0)
| v3_conlat_1(sK0)
| u5_conlat_1(sK0,X0) = u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) ),
inference(resolution,[],[f271,f166]) ).
fof(f297,plain,
! [X0] :
( ~ l3_conlat_1(X0,sK0)
| u5_conlat_1(sK0,X0) = u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f296,f168]) ).
fof(f298,plain,
u5_conlat_1(sK0,sK1) = u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)),
inference(resolution,[],[f297,f169]) ).
fof(f303,definition,
( spl21_1
<=> l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f304,plain,
( ~ l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| spl21_1 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f312,plain,
( v3_conlat_1(sK0)
| l2_conlat_1(k7_conlat_2(sK0)) ),
inference(resolution,[],[f189,f166]) ).
fof(f313,plain,
l2_conlat_1(k7_conlat_2(sK0)),
inference(forward_subsumption_resolution,[],[f312,f168]) ).
fof(f316,plain,
( v3_conlat_1(k7_conlat_2(sK0))
| k7_conlat_2(k7_conlat_2(sK0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK0)),u1_conlat_1(k7_conlat_2(sK0)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0)))) ),
inference(resolution,[],[f313,f179]) ).
fof(f318,plain,
! [X0] :
( v3_conlat_1(k7_conlat_2(sK0))
| k8_conlat_2(k7_conlat_2(sK0),X0) = k9_conlat_2(k7_conlat_2(sK0),X0)
| v7_conlat_1(X0,k7_conlat_2(sK0))
| ~ v9_conlat_1(X0,k7_conlat_2(sK0))
| ~ l3_conlat_1(X0,k7_conlat_2(sK0)) ),
inference(resolution,[],[f313,f253]) ).
fof(f320,definition,
( spl21_4
<=> ! [X0] :
( k8_conlat_2(k7_conlat_2(sK0),X0) = k9_conlat_2(k7_conlat_2(sK0),X0)
| ~ l3_conlat_1(X0,k7_conlat_2(sK0))
| ~ v9_conlat_1(X0,k7_conlat_2(sK0))
| v7_conlat_1(X0,k7_conlat_2(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).
fof(f321,plain,
( ! [X0] :
( ~ l3_conlat_1(X0,k7_conlat_2(sK0))
| k8_conlat_2(k7_conlat_2(sK0),X0) = k9_conlat_2(k7_conlat_2(sK0),X0)
| ~ v9_conlat_1(X0,k7_conlat_2(sK0))
| v7_conlat_1(X0,k7_conlat_2(sK0)) )
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f323,definition,
( spl21_5
<=> v3_conlat_1(k7_conlat_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition]) ).
fof(f324,plain,
( v3_conlat_1(k7_conlat_2(sK0))
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f325,plain,
( spl21_4
| spl21_5 ),
inference(avatar_split_clause,[],[f318,f323,f320]) ).
fof(f331,definition,
( spl21_7
<=> k7_conlat_2(k7_conlat_2(sK0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK0)),u1_conlat_1(k7_conlat_2(sK0)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
fof(f332,plain,
( k7_conlat_2(k7_conlat_2(sK0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK0)),u1_conlat_1(k7_conlat_2(sK0)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0))))
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f333,plain,
( spl21_7
| spl21_5 ),
inference(avatar_split_clause,[],[f316,f323,f331]) ).
fof(f342,plain,
u4_conlat_1(sK0,sK1) = u5_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)),
inference(resolution,[],[f293,f169]) ).
fof(f343,plain,
! [X0] :
( u4_conlat_1(sK0,sK1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = X0
| u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X0)
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v3_conlat_1(k7_conlat_2(sK0))
| ~ l2_conlat_1(k7_conlat_2(sK0)) ),
inference(superposition,[],[f182,f342]) ).
fof(f348,plain,
( v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| ~ l3_conlat_1(sK1,sK0)
| spl21_1 ),
inference(resolution,[],[f192,f304]) ).
fof(f350,plain,
( ~ l2_conlat_1(sK0)
| ~ l3_conlat_1(sK1,sK0)
| spl21_1 ),
inference(forward_subsumption_resolution,[],[f348,f168]) ).
fof(f351,plain,
( ~ l3_conlat_1(sK1,sK0)
| spl21_1 ),
inference(forward_subsumption_resolution,[],[f350,f166]) ).
fof(f352,plain,
( $false
| spl21_1 ),
inference(forward_subsumption_resolution,[],[f351,f169]) ).
fof(f353,plain,
spl21_1,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f364,plain,
( v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| ~ spl21_5 ),
inference(resolution,[],[f191,f324]) ).
fof(f366,plain,
( ~ l2_conlat_1(sK0)
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f364,f168]) ).
fof(f367,plain,
( $false
| ~ spl21_5 ),
inference(forward_subsumption_resolution,[],[f366,f166]) ).
fof(f368,plain,
~ spl21_5,
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f369,plain,
! [X0] :
( u4_conlat_1(sK0,sK1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = X0
| u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X0)
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v3_conlat_1(k7_conlat_2(sK0)) ),
inference(forward_subsumption_resolution,[],[f343,f313]) ).
fof(f370,plain,
! [X0] :
( u5_conlat_1(sK0,sK1) != u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X0)
| u4_conlat_1(sK0,sK1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = X0
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v3_conlat_1(k7_conlat_2(sK0)) ),
inference(forward_demodulation,[],[f369,f298]) ).
fof(f372,definition,
( spl21_10
<=> ! [X0] :
( u5_conlat_1(sK0,sK1) != u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X0)
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK0)))
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK0)))
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = X0
| u4_conlat_1(sK0,sK1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_10])],[avatar_definition]) ).
fof(f373,plain,
( ! [X0] :
( u5_conlat_1(sK0,sK1) != u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X0)
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK0)))
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK0)))
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = X0
| u4_conlat_1(sK0,sK1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X0) )
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f374,plain,
( spl21_5
| ~ spl21_1
| spl21_10 ),
inference(avatar_split_clause,[],[f370,f372,f303,f323]) ).
fof(f375,plain,
( ! [X0] :
( k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,X0)) = k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,X0))
| ~ v9_conlat_1(k9_conlat_2(sK0,X0),k7_conlat_2(sK0))
| v7_conlat_1(k9_conlat_2(sK0,X0),k7_conlat_2(sK0))
| v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| v7_conlat_1(X0,sK0)
| ~ v9_conlat_1(X0,sK0)
| ~ l3_conlat_1(X0,sK0) )
| ~ spl21_4 ),
inference(resolution,[],[f321,f194]) ).
fof(f378,plain,
( ! [X0] :
( k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,X0)) = k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,X0))
| ~ v9_conlat_1(k9_conlat_2(sK0,X0),k7_conlat_2(sK0))
| v7_conlat_1(k9_conlat_2(sK0,X0),k7_conlat_2(sK0))
| ~ l2_conlat_1(sK0)
| v7_conlat_1(X0,sK0)
| ~ v9_conlat_1(X0,sK0)
| ~ l3_conlat_1(X0,sK0) )
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f375,f168]) ).
fof(f380,plain,
( ! [X0] :
( ~ l3_conlat_1(X0,sK0)
| ~ v9_conlat_1(k9_conlat_2(sK0,X0),k7_conlat_2(sK0))
| v7_conlat_1(k9_conlat_2(sK0,X0),k7_conlat_2(sK0))
| v7_conlat_1(X0,sK0)
| ~ v9_conlat_1(X0,sK0)
| k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,X0)) = k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,X0)) )
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f378,f166]) ).
fof(f381,plain,
( ~ v4_conlat_1(sK0)
| sK0 = g2_conlat_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)) ),
inference(resolution,[],[f174,f166]) ).
fof(f382,plain,
( ~ v4_conlat_1(k7_conlat_2(sK0))
| k7_conlat_2(sK0) = g2_conlat_1(u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0))) ),
inference(resolution,[],[f174,f313]) ).
fof(f384,definition,
( spl21_11
<=> k7_conlat_2(sK0) = g2_conlat_1(u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0))) ),
introduced(definition,[new_symbols(definition,[spl21_11])],[avatar_definition]) ).
fof(f385,plain,
( k7_conlat_2(sK0) = g2_conlat_1(u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0)))
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f387,definition,
( spl21_12
<=> v4_conlat_1(k7_conlat_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl21_12])],[avatar_definition]) ).
fof(f388,plain,
( ~ v4_conlat_1(k7_conlat_2(sK0))
| spl21_12 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f389,plain,
( spl21_11
| ~ spl21_12 ),
inference(avatar_split_clause,[],[f382,f387,f384]) ).
fof(f390,plain,
sK0 = g2_conlat_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)),
inference(forward_subsumption_resolution,[],[f381,f167]) ).
fof(f392,plain,
( v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| spl21_12 ),
inference(resolution,[],[f388,f190]) ).
fof(f394,plain,
( ~ l2_conlat_1(sK0)
| spl21_12 ),
inference(forward_subsumption_resolution,[],[f392,f168]) ).
fof(f395,plain,
( $false
| spl21_12 ),
inference(forward_subsumption_resolution,[],[f394,f166]) ).
fof(f396,plain,
spl21_12,
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f397,plain,
( ~ v9_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v7_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
| ~ spl21_4 ),
inference(resolution,[],[f380,f169]) ).
fof(f398,plain,
( ~ v9_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v7_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ v9_conlat_1(sK1,sK0)
| k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f397,f171]) ).
fof(f399,plain,
( ~ v9_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v7_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f398,f170]) ).
fof(f400,plain,
( ~ v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v7_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
| ~ spl21_4 ),
inference(forward_demodulation,[],[f399,f276]) ).
fof(f401,plain,
( v7_conlat_1(k9_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f400,f285]) ).
fof(f402,plain,
( v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
| ~ spl21_4 ),
inference(forward_demodulation,[],[f401,f276]) ).
fof(f403,plain,
( k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f402,f291]) ).
fof(f404,plain,
( k9_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| ~ spl21_4 ),
inference(forward_demodulation,[],[f403,f276]) ).
fof(f405,plain,
( sK1 != k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| ~ spl21_4 ),
inference(superposition,[],[f277,f404]) ).
fof(f461,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| m1_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0)) ),
inference(resolution,[],[f254,f200]) ).
fof(f462,plain,
m1_relset_1(u3_conlat_1(sK0),u1_conlat_1(sK0),u2_conlat_1(sK0)),
inference(resolution,[],[f461,f166]) ).
fof(f463,plain,
m1_relset_1(u3_conlat_1(k7_conlat_2(sK0)),u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0))),
inference(resolution,[],[f461,f313]) ).
fof(f468,plain,
k6_relset_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)) = k4_relat_1(u3_conlat_1(sK0)),
inference(resolution,[],[f462,f252]) ).
fof(f483,plain,
k7_conlat_2(sK0) = g2_conlat_1(u2_conlat_1(sK0),u1_conlat_1(sK0),k4_relat_1(u3_conlat_1(sK0))),
inference(superposition,[],[f295,f468]) ).
fof(f559,plain,
! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != g2_conlat_1(u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0)))
| u2_conlat_1(k7_conlat_2(sK0)) = X1 ),
inference(resolution,[],[f463,f215]) ).
fof(f560,plain,
! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != g2_conlat_1(u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0)))
| u3_conlat_1(k7_conlat_2(sK0)) = X2 ),
inference(resolution,[],[f463,f214]) ).
fof(f561,plain,
! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != g2_conlat_1(u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0)))
| u1_conlat_1(k7_conlat_2(sK0)) = X0 ),
inference(resolution,[],[f463,f216]) ).
fof(f563,plain,
k6_relset_1(u1_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(k7_conlat_2(sK0))) = k4_relat_1(u3_conlat_1(k7_conlat_2(sK0))),
inference(resolution,[],[f463,f252]) ).
fof(f565,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK0)
| u1_conlat_1(k7_conlat_2(sK0)) = X0 )
| ~ spl21_11 ),
inference(forward_demodulation,[],[f561,f385]) ).
fof(f566,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK0)
| u3_conlat_1(k7_conlat_2(sK0)) = X2 )
| ~ spl21_11 ),
inference(forward_demodulation,[],[f560,f385]) ).
fof(f567,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK0)
| u2_conlat_1(k7_conlat_2(sK0)) = X1 )
| ~ spl21_11 ),
inference(forward_demodulation,[],[f559,f385]) ).
fof(f569,plain,
( k7_conlat_2(sK0) != k7_conlat_2(sK0)
| u2_conlat_1(sK0) = u1_conlat_1(k7_conlat_2(sK0))
| ~ spl21_11 ),
inference(superposition,[],[f565,f483]) ).
fof(f571,plain,
( u2_conlat_1(sK0) = u1_conlat_1(k7_conlat_2(sK0))
| ~ spl21_11 ),
inference(trivial_inequality_removal,[],[f569]) ).
fof(f589,plain,
( k7_conlat_2(sK0) != k7_conlat_2(sK0)
| u1_conlat_1(sK0) = u2_conlat_1(k7_conlat_2(sK0))
| ~ spl21_11 ),
inference(superposition,[],[f567,f483]) ).
fof(f591,plain,
( u1_conlat_1(sK0) = u2_conlat_1(k7_conlat_2(sK0))
| ~ spl21_11 ),
inference(trivial_inequality_removal,[],[f589]) ).
fof(f616,plain,
( k7_conlat_2(sK0) != k7_conlat_2(sK0)
| u3_conlat_1(k7_conlat_2(sK0)) = k4_relat_1(u3_conlat_1(sK0))
| ~ spl21_11 ),
inference(superposition,[],[f566,f483]) ).
fof(f618,plain,
( u3_conlat_1(k7_conlat_2(sK0)) = k4_relat_1(u3_conlat_1(sK0))
| ~ spl21_11 ),
inference(trivial_inequality_removal,[],[f616]) ).
fof(f692,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f199,f177]) ).
fof(f716,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f255,f692]) ).
fof(f718,plain,
v1_relat_1(u3_conlat_1(sK0)),
inference(resolution,[],[f716,f462]) ).
fof(f725,plain,
u3_conlat_1(sK0) = k4_relat_1(k4_relat_1(u3_conlat_1(sK0))),
inference(resolution,[],[f718,f220]) ).
fof(f893,plain,
( k7_conlat_2(k7_conlat_2(sK0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK0)),u1_conlat_1(k7_conlat_2(sK0)),k4_relat_1(u3_conlat_1(k7_conlat_2(sK0))))
| ~ spl21_7 ),
inference(superposition,[],[f332,f563]) ).
fof(f910,plain,
( k7_conlat_2(k7_conlat_2(sK0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK0)),u1_conlat_1(k7_conlat_2(sK0)),k4_relat_1(k4_relat_1(u3_conlat_1(sK0))))
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f893,f618]) ).
fof(f924,plain,
( k7_conlat_2(k7_conlat_2(sK0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK0)),u1_conlat_1(k7_conlat_2(sK0)),u3_conlat_1(sK0))
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f910,f725]) ).
fof(f932,plain,
( k7_conlat_2(k7_conlat_2(sK0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK0)),u2_conlat_1(sK0),u3_conlat_1(sK0))
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f924,f571]) ).
fof(f941,plain,
( g2_conlat_1(u1_conlat_1(sK0),u2_conlat_1(sK0),u3_conlat_1(sK0)) = k7_conlat_2(k7_conlat_2(sK0))
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f932,f591]) ).
fof(f945,plain,
( sK0 = k7_conlat_2(k7_conlat_2(sK0))
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f941,f390]) ).
fof(f951,plain,
( ! [X0] :
( ~ l3_conlat_1(X0,sK0)
| u5_conlat_1(sK0,sK1) != u5_conlat_1(sK0,X0)
| ~ v6_conlat_1(X0,sK0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = X0
| u4_conlat_1(sK0,sK1) != u4_conlat_1(sK0,X0) )
| ~ spl21_7
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f373,f945]) ).
fof(f1019,plain,
( u5_conlat_1(sK0,sK1) != u5_conlat_1(sK0,sK1)
| ~ v6_conlat_1(sK1,sK0)
| sK1 = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| u4_conlat_1(sK0,sK1) != u4_conlat_1(sK0,sK1)
| ~ spl21_7
| ~ spl21_10
| ~ spl21_11 ),
inference(resolution,[],[f951,f169]) ).
fof(f1020,plain,
( ~ v6_conlat_1(sK1,sK0)
| sK1 = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| ~ spl21_7
| ~ spl21_10
| ~ spl21_11 ),
inference(trivial_inequality_removal,[],[f1019]) ).
fof(f1021,plain,
( sK1 = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| ~ spl21_7
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f1020,f172]) ).
fof(f1022,plain,
( $false
| ~ spl21_4
| ~ spl21_7
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_subsumption_resolution,[],[f1021,f405]) ).
fof(f1023,plain,
( ~ spl21_4
| ~ spl21_7
| ~ spl21_10
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f1022]) ).
cnf(s2,plain,
( spl21_4
| spl21_5 ),
inference(sat_conversion,[],[f325]) ).
cnf(s4,plain,
( spl21_5
| spl21_7 ),
inference(sat_conversion,[],[f333]) ).
cnf(s8,plain,
spl21_1,
inference(sat_conversion,[],[f353]) ).
cnf(s12,plain,
~ spl21_5,
inference(sat_conversion,[],[f368]) ).
cnf(s13,plain,
( ~ spl21_1
| spl21_5
| spl21_10 ),
inference(sat_conversion,[],[f374]) ).
cnf(s14,plain,
( spl21_11
| ~ spl21_12 ),
inference(sat_conversion,[],[f389]) ).
cnf(s16,plain,
spl21_12,
inference(sat_conversion,[],[f396]) ).
cnf(s63,plain,
( ~ spl21_4
| ~ spl21_7
| ~ spl21_10
| ~ spl21_11 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s68,plain,
spl21_11,
inference(rat,[],[s14,s16]) ).
cnf(s80,plain,
spl21_10,
inference(rat,[],[s13,s12,s8]) ).
cnf(s91,plain,
spl21_7,
inference(rat,[],[s4,s12]) ).
cnf(s92,plain,
~ spl21_4,
inference(rat,[],[s63,s68,s80,s91]) ).
cnf(s103,plain,
$false,
inference(rat,[],[s2,s12,s92]) ).
fof(f1024,plain,
$false,
inference(avatar_sat_refutation,[],[s103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT345+1 : 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 : n003.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 : Sun Sep 27 14:53:26 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.65/1.77 % (623252)Detected formulas, will run a generic FOF schedule.
% 6.65/1.77 % (623262)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=551960786:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.65/1.77 % (623260)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3159365965:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.65/1.77 % (623261)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1160169995:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.65/1.77 % (623263)dis-21_1_sil=8000:lcm=predicate:random_seed=4272724409:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.65/1.77 % (623257)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=2753445812:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.65/1.77 % (623258)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=576520635:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.65/1.77 % (623259)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=3409166814:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.65/1.77 % (623260)Refutation not found, incomplete strategy
% 6.65/1.77 % (623260)------------------------------
% 6.65/1.77 % (623260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623260)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623260)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.77 % (623260)Time elapsed: 0.003 s
% 6.65/1.77 % (623260)Peak memory usage: 88 MB
% 6.65/1.77 % (623260)Instructions burned: 3 (million)
% 6.65/1.77 % (623262)Instruction limit reached!
% 6.65/1.77 % (623262)------------------------------
% 6.65/1.77 % (623262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623262)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623262)Termination reason: Instruction limit
% 6.65/1.77 % (623262)Termination phase: Saturation
% 6.65/1.77 % (623262)Time elapsed: 0.051 s
% 6.65/1.77 % (623262)Peak memory usage: 90 MB
% 6.65/1.77 % (623262)Instructions burned: 142 (million)
% 6.65/1.77 % (623261)Instruction limit reached!
% 6.65/1.77 % (623261)------------------------------
% 6.65/1.77 % (623261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623261)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623261)Termination reason: Instruction limit
% 6.65/1.77 % (623261)Termination phase: Saturation
% 6.65/1.77 % (623261)Time elapsed: 0.068 s
% 6.65/1.77 % (623261)Peak memory usage: 88 MB
% 6.65/1.77 % (623261)Instructions burned: 119 (million)
% 6.65/1.77 % (623263)Instruction limit reached!
% 6.65/1.77 % (623263)------------------------------
% 6.65/1.77 % (623263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623263)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623263)Termination reason: Instruction limit
% 6.65/1.77 % (623263)Termination phase: Saturation
% 6.65/1.77 % (623263)Time elapsed: 0.078 s
% 6.65/1.77 % (623263)Peak memory usage: 90 MB
% 6.65/1.77 % (623263)Instructions burned: 129 (million)
% 6.65/1.77 % (623271)lrs+10_1_sil=8000:sp=occurrence:random_seed=3528893208:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.65/1.77 % (623273)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4202636320:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.65/1.77 % (623272)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1597925408:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.65/1.77 % (623260)------------------------------
% 6.65/1.77 % (623260)------------------------------
% 6.65/1.77 % (623271)Instruction limit reached!
% 6.65/1.77 % (623271)------------------------------
% 6.65/1.77 % (623271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623271)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623271)Termination reason: Instruction limit
% 6.65/1.77 % (623271)Termination phase: Saturation
% 6.65/1.77 % (623271)Time elapsed: 0.091 s
% 6.65/1.77 % (623271)Peak memory usage: 93 MB
% 6.65/1.77 % (623271)Instructions burned: 285 (million)
% 6.65/1.77 % (623272)Instruction limit reached!
% 6.65/1.77 % (623272)------------------------------
% 6.65/1.77 % (623272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623272)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623272)Termination reason: Instruction limit
% 6.65/1.77 % (623272)Termination phase: Saturation
% 6.65/1.77 % (623272)Time elapsed: 0.089 s
% 6.65/1.77 % (623272)Peak memory usage: 90 MB
% 6.65/1.77 % (623272)Instructions burned: 158 (million)
% 6.65/1.77 % (623278)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=796247466:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.65/1.77 % (623278)Refutation not found, incomplete strategy
% 6.65/1.77 % (623278)------------------------------
% 6.65/1.77 % (623278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623278)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623278)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.77 % (623278)Time elapsed: 0.002 s
% 6.65/1.77 % (623278)Peak memory usage: 89 MB
% 6.65/1.77 % (623278)Instructions burned: 5 (million)
% 6.65/1.77 % (623277)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=2304199335:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.65/1.77 % (623273)Instruction limit reached!
% 6.65/1.77 % (623273)------------------------------
% 6.65/1.77 % (623273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623273)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623273)Termination reason: Instruction limit
% 6.65/1.77 % (623273)Termination phase: Saturation
% 6.65/1.77 % (623273)Time elapsed: 0.190 s
% 6.65/1.77 % (623273)Peak memory usage: 92 MB
% 6.65/1.77 % (623273)Instructions burned: 326 (million)
% 6.65/1.77 % (623279)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1091415880:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.65/1.77 % (623278)------------------------------
% 6.65/1.77 % (623278)------------------------------
% 6.65/1.77 % (623277)Instruction limit reached!
% 6.65/1.77 % (623277)------------------------------
% 6.65/1.77 % (623277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623277)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623277)Termination reason: Instruction limit
% 6.65/1.77 % (623277)Termination phase: Saturation
% 6.65/1.77 % (623277)Time elapsed: 0.147 s
% 6.65/1.77 % (623277)Peak memory usage: 91 MB
% 6.65/1.77 % (623277)Instructions burned: 250 (million)
% 6.65/1.77 % (623282)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2001245130:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.65/1.77 % (623284)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=855836293:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.65/1.77 % (623282)Instruction limit reached!
% 6.65/1.77 % (623282)------------------------------
% 6.65/1.77 % (623282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623282)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623282)Termination reason: Instruction limit
% 6.65/1.77 % (623282)Termination phase: Saturation
% 6.65/1.77 % (623282)Time elapsed: 0.079 s
% 6.65/1.77 % (623282)Peak memory usage: 91 MB
% 6.65/1.77 % (623282)Instructions burned: 113 (million)
% 6.65/1.77 % (623284)Instruction limit reached!
% 6.65/1.77 % (623284)------------------------------
% 6.65/1.77 % (623284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623284)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623284)Termination reason: Instruction limit
% 6.65/1.77 % (623284)Termination phase: Saturation
% 6.65/1.77 % (623284)Time elapsed: 0.034 s
% 6.65/1.77 % (623284)Peak memory usage: 89 MB
% 6.65/1.77 % (623284)Instructions burned: 131 (million)
% 6.65/1.77 % (623258)First to succeed.
% 6.65/1.77 % (623285)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3536158352:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.65/1.77 % (623258)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-623252"
% 6.65/1.77 % (623257)Also succeeded, but the first one will report.
% 6.65/1.77 % (623289)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1044093975:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.65/1.77 % (623285)Instruction limit reached!
% 6.65/1.77 % (623285)------------------------------
% 6.65/1.77 % (623285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623285)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623285)Termination reason: Instruction limit
% 6.65/1.77 % (623285)Termination phase: Saturation
% 6.65/1.77 % (623285)Time elapsed: 0.063 s
% 6.65/1.77 % (623285)Peak memory usage: 89 MB
% 6.65/1.77 % (623285)Instructions burned: 116 (million)
% 6.65/1.77 % (623289)Refutation not found, incomplete strategy
% 6.65/1.77 % (623289)------------------------------
% 6.65/1.77 % (623289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.65/1.77 % (623289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.77 % (623289)CaDiCaL version: 2.1.3
% 6.65/1.77 % (623289)Termination reason: Refutation not found, incomplete strategy
% 6.65/1.77 % (623289)Time elapsed: 0.002 s
% 6.65/1.77 % (623289)Peak memory usage: 88 MB
% 6.65/1.77 % (623289)Instructions burned: 4 (million)
% 6.65/1.77 % (623288)lrs+10_1_sil=8000:sp=occurrence:random_seed=3549030400:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.65/1.77 % (623289)------------------------------
% 6.65/1.77 % (623289)------------------------------
% 6.65/1.77 % (623292)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2873065489:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.65/1.77 % (623258)Refutation found. Thanks to Tanya!
% 6.65/1.77 % SZS status Theorem for theBenchmark
% 6.65/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 8.52/1.97 % (623258)------------------------------
% 8.52/1.97 % (623258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.52/1.97 % (623258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.97 % (623258)CaDiCaL version: 2.1.3
% 8.52/1.97 % (623258)Termination reason: Refutation
% 8.52/1.97 % (623258)Time elapsed: 0.732 s
% 8.52/1.97 % (623258)Peak memory usage: 130 MB
% 8.52/1.97 % (623258)Instructions burned: 1073 (million)
% 8.52/1.97 % (623258)------------------------------
% 8.52/1.97 % (623258)------------------------------
% 8.52/1.97 % (623252)Success in time 1.16 s
% 8.52/1.97 % Vampire exiting
%------------------------------------------------------------------------------