%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT345+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 11:47:09 AM UTC 2026
% Result : Theorem 29.00s 11.62s
% Output : Refutation 32.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 168 ( 27 unt; 11 def)
% Number of atoms : 748 ( 118 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 983 ( 403 ~; 489 |; 66 &)
% ( 14 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 12 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 75 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49788,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(f49790,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(f49791,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(f49821,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) )
=> k7_conlat_2(k7_conlat_2(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_conlat_2) ).
fof(f49824,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(f49825,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(f49826,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)],[f49825]) ).
fof(f49901,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,[],[f49788]) ).
fof(f49902,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,[],[f49901]) ).
fof(f49905,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,[],[f49790]) ).
fof(f49906,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,[],[f49905]) ).
fof(f49907,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,[],[f49791]) ).
fof(f49908,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,[],[f49907]) ).
fof(f49967,plain,
! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = X0
| v3_conlat_1(X0)
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f49821]) ).
fof(f49968,plain,
! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = X0
| v3_conlat_1(X0)
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f49967]) ).
fof(f49973,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,[],[f49824]) ).
fof(f49974,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,[],[f49973]) ).
fof(f49975,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,[],[f49826]) ).
fof(f49976,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,[],[f49975]) ).
fof(f50369,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,[],[f49974]) ).
fof(f50370,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,[],[f50369]) ).
fof(f50371,plain,
( sK16 != k9_conlat_2(k7_conlat_2(sK15),k9_conlat_2(sK15,sK16))
& v6_conlat_1(sK16,sK15)
& ~ v7_conlat_1(sK16,sK15)
& v9_conlat_1(sK16,sK15)
& l3_conlat_1(sK16,sK15)
& ~ v3_conlat_1(sK15)
& v4_conlat_1(sK15)
& l2_conlat_1(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X0,sK15),skolemize(X1,sK16)],[f49976]) ).
fof(f50534,plain,
! [X0] :
( l2_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f49902]) ).
fof(f50536,plain,
! [X0] :
( ~ v3_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f49902]) ).
fof(f50539,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,[],[f49906]) ).
fof(f50540,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,[],[f49906]) ).
fof(f50541,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,[],[f49906]) ).
fof(f50542,plain,
! [X0,X1] :
( v6_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,[],[f49906]) ).
fof(f50543,plain,
! [X0,X1] :
( k8_conlat_2(X0,X1) = k9_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(cnf_transformation,[],[f49908]) ).
fof(f50645,plain,
! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = X0
| v3_conlat_1(X0)
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f49968]) ).
fof(f50648,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,[],[f50370]) ).
fof(f50649,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,[],[f50370]) ).
fof(f50650,plain,
! [X2,X0,X1] :
( k8_conlat_2(X0,X1) = X2
| 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)
| ~ 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,[],[f50370]) ).
fof(f50651,plain,
l2_conlat_1(sK15),
inference(cnf_transformation,[],[f50371]) ).
fof(f50652,plain,
v4_conlat_1(sK15),
inference(cnf_transformation,[],[f50371]) ).
fof(f50653,plain,
~ v3_conlat_1(sK15),
inference(cnf_transformation,[],[f50371]) ).
fof(f50654,plain,
l3_conlat_1(sK16,sK15),
inference(cnf_transformation,[],[f50371]) ).
fof(f50655,plain,
v9_conlat_1(sK16,sK15),
inference(cnf_transformation,[],[f50371]) ).
fof(f50656,plain,
~ v7_conlat_1(sK16,sK15),
inference(cnf_transformation,[],[f50371]) ).
fof(f50657,plain,
v6_conlat_1(sK16,sK15),
inference(cnf_transformation,[],[f50371]) ).
fof(f50658,plain,
sK16 != k9_conlat_2(k7_conlat_2(sK15),k9_conlat_2(sK15,sK16)),
inference(cnf_transformation,[],[f50371]) ).
fof(f51342,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,[],[f50649]) ).
fof(f51343,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,[],[f50648]) ).
fof(f51426,definition,
( spl133_1
<=> v3_conlat_1(sK15) ),
introduced(definition,[new_symbols(definition,[spl133_1])],[avatar_definition]) ).
fof(f51428,plain,
( ~ v3_conlat_1(sK15)
| spl133_1 ),
inference(avatar_component_clause,[],[f51426]) ).
fof(f51429,plain,
~ spl133_1,
inference(avatar_split_clause,[],[f50653,f51426]) ).
fof(f51443,plain,
( l2_conlat_1(k7_conlat_2(sK15))
| ~ l2_conlat_1(sK15)
| spl133_1 ),
inference(resolution,[],[f51428,f50534]) ).
fof(f51445,plain,
( ~ v3_conlat_1(k7_conlat_2(sK15))
| ~ l2_conlat_1(sK15)
| spl133_1 ),
inference(resolution,[],[f51428,f50536]) ).
fof(f51513,plain,
( sK15 = k7_conlat_2(k7_conlat_2(sK15))
| ~ v4_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| spl133_1 ),
inference(resolution,[],[f51428,f50645]) ).
fof(f51730,plain,
( sK15 = k7_conlat_2(k7_conlat_2(sK15))
| ~ l2_conlat_1(sK15)
| spl133_1 ),
inference(forward_subsumption_resolution,[],[f51513,f50652]) ).
fof(f51798,plain,
( ~ v3_conlat_1(k7_conlat_2(sK15))
| spl133_1 ),
inference(forward_subsumption_resolution,[],[f51445,f50651]) ).
fof(f51800,plain,
( l2_conlat_1(k7_conlat_2(sK15))
| spl133_1 ),
inference(forward_subsumption_resolution,[],[f51443,f50651]) ).
fof(f51814,plain,
( sK15 = k7_conlat_2(k7_conlat_2(sK15))
| spl133_1 ),
inference(forward_subsumption_resolution,[],[f51730,f50651]) ).
fof(f51858,definition,
( spl133_2
<=> sK16 = k9_conlat_2(k7_conlat_2(sK15),k9_conlat_2(sK15,sK16)) ),
introduced(definition,[new_symbols(definition,[spl133_2])],[avatar_definition]) ).
fof(f51860,plain,
( sK16 != k9_conlat_2(k7_conlat_2(sK15),k9_conlat_2(sK15,sK16))
| spl133_2 ),
inference(avatar_component_clause,[],[f51858]) ).
fof(f51861,plain,
~ spl133_2,
inference(avatar_split_clause,[],[f50658,f51858]) ).
fof(f51862,plain,
( sK16 != k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| v3_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| v7_conlat_1(sK16,sK15)
| ~ v9_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_2 ),
inference(superposition,[],[f51860,f50543]) ).
fof(f51865,plain,
( sK16 != k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| ~ l2_conlat_1(sK15)
| v7_conlat_1(sK16,sK15)
| ~ v9_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| spl133_2 ),
inference(forward_subsumption_resolution,[],[f51862,f51428]) ).
fof(f51867,plain,
( sK16 != k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| v7_conlat_1(sK16,sK15)
| ~ v9_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| spl133_2 ),
inference(forward_subsumption_resolution,[],[f51865,f50651]) ).
fof(f51868,plain,
( sK16 != k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| ~ v9_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| spl133_2 ),
inference(forward_subsumption_resolution,[],[f51867,f50656]) ).
fof(f51869,plain,
( sK16 != k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| spl133_2 ),
inference(forward_subsumption_resolution,[],[f51868,f50655]) ).
fof(f51870,plain,
( sK16 != k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| spl133_1
| spl133_2 ),
inference(forward_subsumption_resolution,[],[f51869,f50654]) ).
fof(f51872,definition,
( spl133_3
<=> v9_conlat_1(sK16,sK15) ),
introduced(definition,[new_symbols(definition,[spl133_3])],[avatar_definition]) ).
fof(f51874,plain,
( v9_conlat_1(sK16,sK15)
| ~ spl133_3 ),
inference(avatar_component_clause,[],[f51872]) ).
fof(f51875,plain,
spl133_3,
inference(avatar_split_clause,[],[f50655,f51872]) ).
fof(f51877,plain,
( l3_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v3_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| ~ spl133_3 ),
inference(resolution,[],[f51874,f50539]) ).
fof(f51878,plain,
( v9_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v3_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| ~ spl133_3 ),
inference(resolution,[],[f51874,f50540]) ).
fof(f51879,plain,
( ~ v7_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v3_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| ~ spl133_3 ),
inference(resolution,[],[f51874,f50541]) ).
fof(f51880,plain,
( v6_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v3_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| ~ spl133_3 ),
inference(resolution,[],[f51874,f50542]) ).
fof(f51881,plain,
( k9_conlat_2(sK15,sK16) = k8_conlat_2(sK15,sK16)
| v3_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| ~ spl133_3 ),
inference(resolution,[],[f51874,f50543]) ).
fof(f51896,plain,
( k9_conlat_2(sK15,sK16) = k8_conlat_2(sK15,sK16)
| ~ l2_conlat_1(sK15)
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51881,f51428]) ).
fof(f51897,plain,
( v6_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ l2_conlat_1(sK15)
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51880,f51428]) ).
fof(f51898,plain,
( ~ v7_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ l2_conlat_1(sK15)
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51879,f51428]) ).
fof(f51899,plain,
( v9_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ l2_conlat_1(sK15)
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51878,f51428]) ).
fof(f51900,plain,
( l3_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ l2_conlat_1(sK15)
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51877,f51428]) ).
fof(f51909,plain,
( k9_conlat_2(sK15,sK16) = k8_conlat_2(sK15,sK16)
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51896,f50651]) ).
fof(f51910,plain,
( v6_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51897,f50651]) ).
fof(f51911,plain,
( ~ v7_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51898,f50651]) ).
fof(f51912,plain,
( v9_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51899,f50651]) ).
fof(f51913,plain,
( l3_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v7_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51900,f50651]) ).
fof(f51922,plain,
( k9_conlat_2(sK15,sK16) = k8_conlat_2(sK15,sK16)
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51909,f50656]) ).
fof(f51923,plain,
( v6_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51910,f50656]) ).
fof(f51924,plain,
( ~ v7_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51911,f50656]) ).
fof(f51925,plain,
( v9_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51912,f50656]) ).
fof(f51926,plain,
( l3_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ l3_conlat_1(sK16,sK15)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51913,f50656]) ).
fof(f51933,plain,
( k9_conlat_2(sK15,sK16) = k8_conlat_2(sK15,sK16)
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51922,f50654]) ).
fof(f51934,plain,
( v6_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51923,f50654]) ).
fof(f51935,plain,
( ~ v7_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51924,f50654]) ).
fof(f51936,plain,
( v9_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51925,f50654]) ).
fof(f51937,plain,
( l3_conlat_1(k9_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| spl133_1
| ~ spl133_3 ),
inference(forward_subsumption_resolution,[],[f51926,f50654]) ).
fof(f51944,plain,
( v6_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| spl133_1
| ~ spl133_3 ),
inference(forward_demodulation,[],[f51934,f51933]) ).
fof(f51945,plain,
( ~ v7_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| spl133_1
| ~ spl133_3 ),
inference(forward_demodulation,[],[f51935,f51933]) ).
fof(f51946,plain,
( v9_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| spl133_1
| ~ spl133_3 ),
inference(forward_demodulation,[],[f51936,f51933]) ).
fof(f51947,plain,
( l3_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| spl133_1
| ~ spl133_3 ),
inference(forward_demodulation,[],[f51937,f51933]) ).
fof(f51951,definition,
( spl133_4
<=> l2_conlat_1(sK15) ),
introduced(definition,[new_symbols(definition,[spl133_4])],[avatar_definition]) ).
fof(f51953,plain,
( l2_conlat_1(sK15)
| ~ spl133_4 ),
inference(avatar_component_clause,[],[f51951]) ).
fof(f51954,plain,
spl133_4,
inference(avatar_split_clause,[],[f50651,f51951]) ).
fof(f51956,definition,
( spl133_5
<=> l3_conlat_1(sK16,sK15) ),
introduced(definition,[new_symbols(definition,[spl133_5])],[avatar_definition]) ).
fof(f51958,plain,
( l3_conlat_1(sK16,sK15)
| ~ spl133_5 ),
inference(avatar_component_clause,[],[f51956]) ).
fof(f51959,plain,
spl133_5,
inference(avatar_split_clause,[],[f50654,f51956]) ).
fof(f51978,plain,
( u5_conlat_1(sK15,sK16) = u4_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| ~ v6_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ l3_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v3_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| ~ spl133_5 ),
inference(resolution,[],[f51958,f51342]) ).
fof(f51979,plain,
( u4_conlat_1(sK15,sK16) = u5_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| ~ v6_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ l3_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v3_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| ~ spl133_5 ),
inference(resolution,[],[f51958,f51343]) ).
fof(f51980,plain,
( u4_conlat_1(sK15,sK16) = u5_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| ~ l3_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v3_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| spl133_1
| ~ spl133_3
| ~ spl133_5 ),
inference(forward_subsumption_resolution,[],[f51979,f51944]) ).
fof(f51981,plain,
( u5_conlat_1(sK15,sK16) = u4_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| ~ l3_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v3_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| spl133_1
| ~ spl133_3
| ~ spl133_5 ),
inference(forward_subsumption_resolution,[],[f51978,f51944]) ).
fof(f51988,plain,
( u4_conlat_1(sK15,sK16) = u5_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| v3_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| spl133_1
| ~ spl133_3
| ~ spl133_5 ),
inference(forward_subsumption_resolution,[],[f51980,f51947]) ).
fof(f51989,plain,
( u5_conlat_1(sK15,sK16) = u4_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| v3_conlat_1(sK15)
| ~ l2_conlat_1(sK15)
| spl133_1
| ~ spl133_3
| ~ spl133_5 ),
inference(forward_subsumption_resolution,[],[f51981,f51947]) ).
fof(f51996,plain,
( u4_conlat_1(sK15,sK16) = u5_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| ~ l2_conlat_1(sK15)
| spl133_1
| ~ spl133_3
| ~ spl133_5 ),
inference(forward_subsumption_resolution,[],[f51988,f51428]) ).
fof(f51997,plain,
( u5_conlat_1(sK15,sK16) = u4_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| ~ l2_conlat_1(sK15)
| spl133_1
| ~ spl133_3
| ~ spl133_5 ),
inference(forward_subsumption_resolution,[],[f51989,f51428]) ).
fof(f52003,plain,
( u4_conlat_1(sK15,sK16) = u5_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| spl133_1
| ~ spl133_3
| ~ spl133_4
| ~ spl133_5 ),
inference(forward_subsumption_resolution,[],[f51996,f51953]) ).
fof(f52004,plain,
( u5_conlat_1(sK15,sK16) = u4_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| spl133_1
| ~ spl133_3
| ~ spl133_4
| ~ spl133_5 ),
inference(forward_subsumption_resolution,[],[f51997,f51953]) ).
fof(f52226,definition,
( spl133_7
<=> v6_conlat_1(sK16,sK15) ),
introduced(definition,[new_symbols(definition,[spl133_7])],[avatar_definition]) ).
fof(f52228,plain,
( v6_conlat_1(sK16,sK15)
| ~ spl133_7 ),
inference(avatar_component_clause,[],[f52226]) ).
fof(f52229,plain,
spl133_7,
inference(avatar_split_clause,[],[f50657,f52226]) ).
fof(f52243,definition,
( spl133_8
<=> v9_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15)) ),
introduced(definition,[new_symbols(definition,[spl133_8])],[avatar_definition]) ).
fof(f52245,plain,
( v9_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ spl133_8 ),
inference(avatar_component_clause,[],[f52243]) ).
fof(f52246,plain,
( spl133_8
| spl133_1
| ~ spl133_3 ),
inference(avatar_split_clause,[],[f51946,f51872,f51426,f52243]) ).
fof(f52248,definition,
( spl133_9
<=> l3_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15)) ),
introduced(definition,[new_symbols(definition,[spl133_9])],[avatar_definition]) ).
fof(f52250,plain,
( l3_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ spl133_9 ),
inference(avatar_component_clause,[],[f52248]) ).
fof(f52251,plain,
( spl133_9
| spl133_1
| ~ spl133_3 ),
inference(avatar_split_clause,[],[f51947,f51872,f51426,f52248]) ).
fof(f52319,plain,
( k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) = k8_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| v3_conlat_1(k7_conlat_2(sK15))
| ~ l2_conlat_1(k7_conlat_2(sK15))
| v7_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ v9_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ spl133_9 ),
inference(resolution,[],[f52250,f50543]) ).
fof(f52343,plain,
( k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) = k8_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| ~ l2_conlat_1(k7_conlat_2(sK15))
| v7_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ v9_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| spl133_1
| ~ spl133_9 ),
inference(forward_subsumption_resolution,[],[f52319,f51798]) ).
fof(f52362,plain,
( k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) = k8_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| v7_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| ~ v9_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| spl133_1
| ~ spl133_9 ),
inference(forward_subsumption_resolution,[],[f52343,f51800]) ).
fof(f52381,plain,
( k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) = k8_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| ~ v9_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| spl133_1
| ~ spl133_3
| ~ spl133_9 ),
inference(forward_subsumption_resolution,[],[f52362,f51945]) ).
fof(f52400,plain,
( k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) = k8_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| spl133_1
| ~ spl133_3
| ~ spl133_8
| ~ spl133_9 ),
inference(forward_subsumption_resolution,[],[f52381,f52245]) ).
fof(f52441,definition,
( spl133_14
<=> sK16 = k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) ),
introduced(definition,[new_symbols(definition,[spl133_14])],[avatar_definition]) ).
fof(f52443,plain,
( sK16 != k9_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| spl133_14 ),
inference(avatar_component_clause,[],[f52441]) ).
fof(f52444,plain,
( ~ spl133_14
| spl133_1
| spl133_2 ),
inference(avatar_split_clause,[],[f51870,f51858,f51426,f52441]) ).
fof(f52445,plain,
( sK16 != k8_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| spl133_1
| ~ spl133_3
| ~ spl133_8
| ~ spl133_9
| spl133_14 ),
inference(forward_demodulation,[],[f52443,f52400]) ).
fof(f52731,definition,
( spl133_22
<=> sK16 = k8_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) ),
introduced(definition,[new_symbols(definition,[spl133_22])],[avatar_definition]) ).
fof(f52733,plain,
( sK16 != k8_conlat_2(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| spl133_22 ),
inference(avatar_component_clause,[],[f52731]) ).
fof(f52734,plain,
( ~ spl133_22
| spl133_1
| ~ spl133_3
| ~ spl133_8
| ~ spl133_9
| spl133_14 ),
inference(avatar_split_clause,[],[f52445,f52441,f52248,f52243,f51872,f51426,f52731]) ).
fof(f52736,plain,
( ! [X0] :
( sK16 != X0
| u5_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) != u4_conlat_1(k7_conlat_2(k7_conlat_2(sK15)),X0)
| u4_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(sK15)),X0)
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15)))
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15)))
| ~ l3_conlat_1(k8_conlat_2(sK15,sK16),k7_conlat_2(sK15))
| v3_conlat_1(k7_conlat_2(sK15))
| ~ l2_conlat_1(k7_conlat_2(sK15)) )
| spl133_22 ),
inference(superposition,[],[f52733,f50650]) ).
fof(f52737,plain,
( ! [X0] :
( sK16 != X0
| u5_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) != u4_conlat_1(k7_conlat_2(k7_conlat_2(sK15)),X0)
| u4_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(sK15)),X0)
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15)))
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15)))
| v3_conlat_1(k7_conlat_2(sK15))
| ~ l2_conlat_1(k7_conlat_2(sK15)) )
| ~ spl133_9
| spl133_22 ),
inference(forward_subsumption_resolution,[],[f52736,f52250]) ).
fof(f52739,plain,
( ! [X0] :
( sK16 != X0
| u5_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) != u4_conlat_1(k7_conlat_2(k7_conlat_2(sK15)),X0)
| u4_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(sK15)),X0)
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15)))
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15)))
| ~ l2_conlat_1(k7_conlat_2(sK15)) )
| spl133_1
| ~ spl133_9
| spl133_22 ),
inference(forward_subsumption_resolution,[],[f52737,f51798]) ).
fof(f52741,plain,
( ! [X0] :
( sK16 != X0
| u5_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) != u4_conlat_1(k7_conlat_2(k7_conlat_2(sK15)),X0)
| u4_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(sK15)),X0)
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15)))
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15))) )
| spl133_1
| ~ spl133_9
| spl133_22 ),
inference(forward_subsumption_resolution,[],[f52739,f51800]) ).
fof(f52743,plain,
( ! [X0] :
( u4_conlat_1(sK15,X0) != u5_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| sK16 != X0
| u4_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(sK15)),X0)
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15)))
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15))) )
| spl133_1
| ~ spl133_9
| spl133_22 ),
inference(forward_demodulation,[],[f52741,f51814]) ).
fof(f52744,plain,
( ! [X0] :
( u4_conlat_1(sK15,X0) != u4_conlat_1(sK15,sK16)
| sK16 != X0
| u4_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(sK15)),X0)
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15)))
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15))) )
| spl133_1
| ~ spl133_3
| ~ spl133_4
| ~ spl133_5
| ~ spl133_9
| spl133_22 ),
inference(forward_demodulation,[],[f52743,f52003]) ).
fof(f52745,plain,
( ! [X0] :
( u5_conlat_1(sK15,X0) != u4_conlat_1(k7_conlat_2(sK15),k8_conlat_2(sK15,sK16))
| u4_conlat_1(sK15,X0) != u4_conlat_1(sK15,sK16)
| sK16 != X0
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15)))
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15))) )
| spl133_1
| ~ spl133_3
| ~ spl133_4
| ~ spl133_5
| ~ spl133_9
| spl133_22 ),
inference(forward_demodulation,[],[f52744,f51814]) ).
fof(f52746,plain,
( ! [X0] :
( u5_conlat_1(sK15,X0) != u5_conlat_1(sK15,sK16)
| u4_conlat_1(sK15,X0) != u4_conlat_1(sK15,sK16)
| sK16 != X0
| ~ v6_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15)))
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15))) )
| spl133_1
| ~ spl133_3
| ~ spl133_4
| ~ spl133_5
| ~ spl133_9
| spl133_22 ),
inference(forward_demodulation,[],[f52745,f52004]) ).
fof(f52747,plain,
( ! [X0] :
( ~ v6_conlat_1(X0,sK15)
| u5_conlat_1(sK15,X0) != u5_conlat_1(sK15,sK16)
| u4_conlat_1(sK15,X0) != u4_conlat_1(sK15,sK16)
| sK16 != X0
| ~ l3_conlat_1(X0,k7_conlat_2(k7_conlat_2(sK15))) )
| spl133_1
| ~ spl133_3
| ~ spl133_4
| ~ spl133_5
| ~ spl133_9
| spl133_22 ),
inference(forward_demodulation,[],[f52746,f51814]) ).
fof(f52748,plain,
( ! [X0] :
( ~ l3_conlat_1(X0,sK15)
| ~ v6_conlat_1(X0,sK15)
| u5_conlat_1(sK15,X0) != u5_conlat_1(sK15,sK16)
| u4_conlat_1(sK15,X0) != u4_conlat_1(sK15,sK16)
| sK16 != X0 )
| spl133_1
| ~ spl133_3
| ~ spl133_4
| ~ spl133_5
| ~ spl133_9
| spl133_22 ),
inference(forward_demodulation,[],[f52747,f51814]) ).
fof(f53362,definition,
( spl133_32
<=> ! [X0] :
( ~ l3_conlat_1(X0,sK15)
| ~ v6_conlat_1(X0,sK15)
| u5_conlat_1(sK15,X0) != u5_conlat_1(sK15,sK16)
| u4_conlat_1(sK15,X0) != u4_conlat_1(sK15,sK16)
| sK16 != X0 ) ),
introduced(definition,[new_symbols(definition,[spl133_32])],[avatar_definition]) ).
fof(f53363,plain,
( ! [X0] :
( u5_conlat_1(sK15,X0) != u5_conlat_1(sK15,sK16)
| ~ v6_conlat_1(X0,sK15)
| ~ l3_conlat_1(X0,sK15)
| u4_conlat_1(sK15,X0) != u4_conlat_1(sK15,sK16)
| sK16 != X0 )
| ~ spl133_32 ),
inference(avatar_component_clause,[],[f53362]) ).
fof(f53364,plain,
( spl133_32
| spl133_1
| ~ spl133_3
| ~ spl133_4
| ~ spl133_5
| ~ spl133_9
| spl133_22 ),
inference(avatar_split_clause,[],[f52748,f52731,f52248,f51956,f51951,f51872,f51426,f53362]) ).
fof(f54276,plain,
( ~ v6_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| u4_conlat_1(sK15,sK16) != u4_conlat_1(sK15,sK16)
| sK16 != sK16
| ~ spl133_32 ),
inference(equality_resolution,[],[f53363]) ).
fof(f54277,plain,
( ~ v6_conlat_1(sK16,sK15)
| ~ l3_conlat_1(sK16,sK15)
| ~ spl133_32 ),
inference(trivial_inequality_removal,[],[f54276]) ).
fof(f54278,plain,
( ~ l3_conlat_1(sK16,sK15)
| ~ spl133_7
| ~ spl133_32 ),
inference(forward_subsumption_resolution,[],[f54277,f52228]) ).
fof(f54281,plain,
( $false
| ~ spl133_5
| ~ spl133_7
| ~ spl133_32 ),
inference(forward_subsumption_resolution,[],[f54278,f51958]) ).
fof(f54282,plain,
( ~ spl133_5
| ~ spl133_7
| ~ spl133_32 ),
inference(avatar_contradiction_clause,[],[f54281]) ).
cnf(s1,plain,
~ spl133_1,
inference(sat_conversion,[],[f51429]) ).
cnf(s2,plain,
~ spl133_2,
inference(sat_conversion,[],[f51861]) ).
cnf(s3,plain,
spl133_3,
inference(sat_conversion,[],[f51875]) ).
cnf(s4,plain,
spl133_4,
inference(sat_conversion,[],[f51954]) ).
cnf(s5,plain,
spl133_5,
inference(sat_conversion,[],[f51959]) ).
cnf(s7,plain,
spl133_7,
inference(sat_conversion,[],[f52229]) ).
cnf(s8,plain,
( spl133_1
| ~ spl133_3
| spl133_8 ),
inference(sat_conversion,[],[f52246]) ).
cnf(s9,plain,
( spl133_1
| ~ spl133_3
| spl133_9 ),
inference(sat_conversion,[],[f52251]) ).
cnf(s14,plain,
( spl133_1
| spl133_2
| ~ spl133_14 ),
inference(sat_conversion,[],[f52444]) ).
cnf(s20,plain,
( spl133_1
| ~ spl133_3
| ~ spl133_8
| ~ spl133_9
| spl133_14
| ~ spl133_22 ),
inference(sat_conversion,[],[f52734]) ).
cnf(s29,plain,
( spl133_1
| ~ spl133_3
| ~ spl133_4
| ~ spl133_5
| ~ spl133_9
| spl133_22
| spl133_32 ),
inference(sat_conversion,[],[f53364]) ).
cnf(s41,plain,
( ~ spl133_5
| ~ spl133_7
| ~ spl133_32 ),
inference(sat_conversion,[],[f54282]) ).
cnf(s42,plain,
~ spl133_32,
inference(rat,[],[s41,s7,s5]) ).
cnf(s57,plain,
~ spl133_14,
inference(rat,[],[s14,s2,s1]) ).
cnf(s60,plain,
spl133_9,
inference(rat,[],[s9,s3,s1]) ).
cnf(s61,plain,
spl133_8,
inference(rat,[],[s8,s3,s1]) ).
cnf(s67,plain,
spl133_22,
inference(rat,[],[s29,s42,s1,s3,s5,s4,s60]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s20,s67,s57,s1,s3,s60,s61]) ).
fof(f54286,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT345+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 % Computer : n008.cluster.edu
% 0.23/0.49 % Model : x86_64 x86_64
% 0.23/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.49 % Memory : 8046.5625MB
% 0.23/0.49 % OS : Linux 6.8.0-71-generic
% 0.23/0.49 % CPULimit : 300
% 0.23/0.49 % WCLimit : 300
% 0.23/0.49 % DateTime : Sun Sep 27 14:52:50 UTC 2026
% 0.23/0.49 % CPUTime :
% 0.23/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.55 Running first-order theorem proving
% 0.27/0.55 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
% 27.34/10.95 % (1312705)Detected formulas, will run a generic FOF schedule.
% 27.34/10.95 % (1312714)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=164429852:i=119:av=off:ss=axioms_2932 on theBenchmark for (2932ds/119Mi)
% 27.34/10.95 % (1312710)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=1432901163:i=141193_2932 on theBenchmark for (2932ds/141193Mi)
% 27.34/10.95 % (1312711)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=4223678471:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2932 on theBenchmark for (2932ds/134677Mi)
% 27.34/10.95 % (1312712)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=1203020486:i=141695:sd=1:nm=32:gsp=on:ss=included_2932 on theBenchmark for (2932ds/141695Mi)
% 27.34/10.95 % (1312713)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=9324045:i=109:sd=1:ins=1:gsp=on:ss=axioms_2932 on theBenchmark for (2932ds/109Mi)
% 27.34/10.95 % (1312715)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2213053313:s2a=on:i=139:gtg=position_2932 on theBenchmark for (2932ds/139Mi)
% 27.34/10.95 % (1312714)Instruction limit reached!
% 27.34/10.95 % (1312714)------------------------------
% 27.34/10.95 % (1312714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.34/10.95 % (1312714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.34/10.95 % (1312714)CaDiCaL version: 2.1.3
% 27.34/10.95 % (1312714)Termination reason: Instruction limit
% 27.34/10.95 % (1312714)Termination phase: SInE selection
% 27.34/10.95 % (1312714)Time elapsed: 0.081 s
% 27.34/10.95 % (1312714)Peak memory usage: 163 MB
% 27.34/10.95 % (1312714)Instructions burned: 119 (million)
% 27.34/10.95 % (1312716)dis-21_1_sil=8000:lcm=predicate:random_seed=3986918703:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2932 on theBenchmark for (2932ds/129Mi)
% 27.34/10.95 % (1312713)Instruction limit reached!
% 27.34/10.95 % (1312713)------------------------------
% 27.34/10.95 % (1312713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.34/10.95 % (1312713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.34/10.95 % (1312713)CaDiCaL version: 2.1.3
% 27.34/10.95 % (1312713)Termination reason: Instruction limit
% 27.34/10.95 % (1312713)Termination phase: SInE selection
% 27.34/10.95 % (1312713)Time elapsed: 0.123 s
% 27.34/10.95 % (1312713)Peak memory usage: 163 MB
% 27.34/10.95 % (1312713)Instructions burned: 109 (million)
% 27.34/10.95 % (1312715)Instruction limit reached!
% 27.34/10.95 % (1312715)------------------------------
% 27.34/10.95 % (1312715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.34/10.95 % (1312715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.34/10.95 % (1312715)CaDiCaL version: 2.1.3
% 27.34/10.95 % (1312715)Termination reason: Instruction limit
% 27.34/10.95 % (1312715)Termination phase: Property scanning
% 27.34/10.95 % (1312715)Time elapsed: 0.121 s
% 27.34/10.95 % (1312715)Peak memory usage: 164 MB
% 27.34/10.95 % (1312715)Instructions burned: 140 (million)
% 27.34/10.95 % (1312716)Instruction limit reached!
% 27.34/10.95 % (1312716)------------------------------
% 27.34/10.95 % (1312716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.34/10.95 % (1312716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.34/10.95 % (1312716)CaDiCaL version: 2.1.3
% 27.34/10.95 % (1312716)Termination reason: Instruction limit
% 27.34/10.95 % (1312716)Termination phase: SInE selection
% 27.34/10.95 % (1312716)Time elapsed: 0.157 s
% 27.34/10.95 % (1312716)Peak memory usage: 163 MB
% 27.34/10.95 % (1312716)Instructions burned: 129 (million)
% 27.34/10.95 % (1312724)lrs+10_1_sil=8000:sp=occurrence:random_seed=441840167:i=285:sd=3:ss=axioms:sgt=8_2929 on theBenchmark for (2929ds/285Mi)
% 27.34/10.95 % (1312725)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2146358856:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2928 on theBenchmark for (2928ds/157Mi)
% 27.34/10.95 % (1312726)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4220676492:i=325:sd=1:ss=axioms:sgt=32_2928 on theBenchmark for (2928ds/325Mi)
% 27.34/10.95 % (1312727)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=2464408620:s2a=on:i=248:s2at=1.23:gtg=position_2928 on theBenchmark for (2928ds/248Mi)
% 27.34/10.95 % (1312725)Instruction limit reached!
% 29.00/11.62 % (1312725)------------------------------
% 29.00/11.62 % (1312725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312725)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312725)Termination reason: Instruction limit
% 29.00/11.62 % (1312725)Termination phase: Property scanning
% 29.00/11.62 % (1312725)Time elapsed: 0.134 s
% 29.00/11.62 % (1312725)Peak memory usage: 164 MB
% 29.00/11.62 % (1312725)Instructions burned: 157 (million)
% 29.00/11.62 % (1312727)Instruction limit reached!
% 29.00/11.62 % (1312727)------------------------------
% 29.00/11.62 % (1312727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312727)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312727)Termination reason: Instruction limit
% 29.00/11.62 % (1312727)Termination phase: Property scanning
% 29.00/11.62 % (1312727)Time elapsed: 0.114 s
% 29.00/11.62 % (1312727)Peak memory usage: 164 MB
% 29.00/11.62 % (1312727)Instructions burned: 249 (million)
% 29.00/11.62 % (1312724)Instruction limit reached!
% 29.00/11.62 % (1312724)------------------------------
% 29.00/11.62 % (1312724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312724)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312724)Termination reason: Instruction limit
% 29.00/11.62 % (1312724)Termination phase: SInE selection
% 29.00/11.62 % (1312724)Time elapsed: 0.324 s
% 29.00/11.62 % (1312724)Peak memory usage: 164 MB
% 29.00/11.62 % (1312724)Instructions burned: 285 (million)
% 29.00/11.62 % (1312733)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3230803911:i=2350_2925 on theBenchmark for (2925ds/2350Mi)
% 29.00/11.62 % (1312726)Instruction limit reached!
% 29.00/11.62 % (1312726)------------------------------
% 29.00/11.62 % (1312726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312726)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312726)Termination reason: Instruction limit
% 29.00/11.62 % (1312726)Termination phase: SInE selection
% 29.00/11.62 % (1312726)Time elapsed: 0.361 s
% 29.00/11.62 % (1312726)Peak memory usage: 164 MB
% 29.00/11.62 % (1312726)Instructions burned: 325 (million)
% 29.00/11.62 % (1312732)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2210972541:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2925 on theBenchmark for (2925ds/294Mi)
% 29.00/11.62 % (1312734)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1783429659:cts=off:i=113:fsr=off:ss=included:sgt=4_2924 on theBenchmark for (2924ds/113Mi)
% 29.00/11.62 % (1312734)Instruction limit reached!
% 29.00/11.62 % (1312734)------------------------------
% 29.00/11.62 % (1312734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312734)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312734)Termination reason: Instruction limit
% 29.00/11.62 % (1312734)Termination phase: SInE selection
% 29.00/11.62 % (1312734)Time elapsed: 0.137 s
% 29.00/11.62 % (1312734)Peak memory usage: 163 MB
% 29.00/11.62 % (1312734)Instructions burned: 114 (million)
% 29.00/11.62 % (1312737)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=889859730:i=127:av=off:fsr=off:sup=off_2922 on theBenchmark for (2922ds/127Mi)
% 29.00/11.62 % (1312732)Instruction limit reached!
% 29.00/11.62 % (1312732)------------------------------
% 29.00/11.62 % (1312732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312732)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312732)Termination reason: Instruction limit
% 29.00/11.62 % (1312732)Termination phase: SInE selection
% 29.00/11.62 % (1312732)Time elapsed: 0.318 s
% 29.00/11.62 % (1312732)Peak memory usage: 164 MB
% 29.00/11.62 % (1312732)Instructions burned: 294 (million)
% 29.00/11.62 % (1312737)Instruction limit reached!
% 29.00/11.62 % (1312737)------------------------------
% 29.00/11.62 % (1312737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312737)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312737)Termination reason: Instruction limit
% 29.00/11.62 % (1312737)Termination phase: Preprocessing 1
% 29.00/11.62 % (1312737)Time elapsed: 0.158 s
% 29.00/11.62 % (1312737)Peak memory usage: 165 MB
% 29.00/11.62 % (1312737)Instructions burned: 127 (million)
% 29.00/11.62 % (1312739)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2455202501:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2920 on theBenchmark for (2920ds/114Mi)
% 29.00/11.62 % (1312739)Instruction limit reached!
% 29.00/11.62 % (1312739)------------------------------
% 29.00/11.62 % (1312739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312739)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312739)Termination reason: Instruction limit
% 29.00/11.62 % (1312739)Termination phase: Property scanning
% 29.00/11.62 % (1312739)Time elapsed: 0.101 s
% 29.00/11.62 % (1312739)Peak memory usage: 164 MB
% 29.00/11.62 % (1312739)Instructions burned: 114 (million)
% 29.00/11.62 % (1312741)lrs+10_1_sil=8000:sp=occurrence:random_seed=3992665947:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2919 on theBenchmark for (2919ds/907Mi)
% 29.00/11.62 % (1312742)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1556157497:i=437:sd=1:aac=none:ss=included_2918 on theBenchmark for (2918ds/437Mi)
% 29.00/11.62 % (1312744)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4284086426:i=5202:ss=axioms:sgt=16_2917 on theBenchmark for (2917ds/5202Mi)
% 29.00/11.62 % (1312742)Refutation not found, incomplete strategy
% 29.00/11.62 % (1312742)------------------------------
% 29.00/11.62 % (1312742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312742)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312742)Termination reason: Refutation not found, incomplete strategy
% 29.00/11.62 % (1312742)Time elapsed: 0.527 s
% 29.00/11.62 % (1312742)Peak memory usage: 170 MB
% 29.00/11.62 % (1312742)Instructions burned: 438 (million)
% 29.00/11.62 % (1312733)Instruction limit reached!
% 29.00/11.62 % (1312733)------------------------------
% 29.00/11.62 % (1312733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312733)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312733)Termination reason: Instruction limit
% 29.00/11.62 % (1312733)Termination phase: Preprocessing 3
% 29.00/11.62 % (1312733)Time elapsed: 1.511 s
% 29.00/11.62 % (1312733)Peak memory usage: 265 MB
% 29.00/11.62 % (1312733)Instructions burned: 2352 (million)
% 29.00/11.62 % (1312748)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=206527651:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2908 on theBenchmark for (2908ds/134Mi)
% 29.00/11.62 % (1312742)------------------------------
% 29.00/11.62 % (1312742)------------------------------
% 29.00/11.62 % (1312741)Instruction limit reached!
% 29.00/11.62 % (1312741)------------------------------
% 29.00/11.62 % (1312741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312741)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312741)Termination reason: Instruction limit
% 29.00/11.62 % (1312741)Termination phase: Naming
% 29.00/11.62 % (1312741)Time elapsed: 1.111 s
% 29.00/11.62 % (1312741)Peak memory usage: 187 MB
% 29.00/11.62 % (1312741)Instructions burned: 907 (million)
% 29.00/11.62 % (1312748)Instruction limit reached!
% 29.00/11.62 % (1312748)------------------------------
% 29.00/11.62 % (1312748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312748)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312748)Termination reason: Instruction limit
% 29.00/11.62 % (1312748)Termination phase: SInE selection
% 29.00/11.62 % (1312748)Time elapsed: 0.095 s
% 29.00/11.62 % (1312748)Peak memory usage: 164 MB
% 29.00/11.62 % (1312748)Instructions burned: 134 (million)
% 29.00/11.62 % (1312752)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=3616019903:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2905 on theBenchmark for (2905ds/125Mi)
% 29.00/11.62 % (1312750)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4093760591:st=8:i=592:sd=3:ep=RST:ss=axioms_2906 on theBenchmark for (2906ds/592Mi)
% 29.00/11.62 % (1312752)Instruction limit reached!
% 29.00/11.62 % (1312752)------------------------------
% 29.00/11.62 % (1312752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312752)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312752)Termination reason: Instruction limit
% 29.00/11.62 % (1312752)Termination phase: Property scanning
% 29.00/11.62 % (1312752)Time elapsed: 0.062 s
% 29.00/11.62 % (1312752)Peak memory usage: 164 MB
% 29.00/11.62 % (1312752)Instructions burned: 126 (million)
% 29.00/11.62 % (1312751)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2629795342:st=3:i=13193:sd=3:ss=axioms_2905 on theBenchmark for (2905ds/13193Mi)
% 29.00/11.62 % (1312712)First to succeed.
% 29.00/11.62 % (1312712)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1312705"
% 29.00/11.62 % (1312756)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2170058177:i=134:gtgl=5:slsql=off:gtg=exists_sym_2903 on theBenchmark for (2903ds/134Mi)
% 29.00/11.62 % (1312756)Instruction limit reached!
% 29.00/11.62 % (1312756)------------------------------
% 29.00/11.62 % (1312756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312756)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312756)Termination reason: Instruction limit
% 29.00/11.62 % (1312756)Termination phase: Property scanning
% 29.00/11.62 % (1312756)Time elapsed: 0.066 s
% 29.00/11.62 % (1312756)Peak memory usage: 164 MB
% 29.00/11.62 % (1312756)Instructions burned: 137 (million)
% 29.00/11.62 % (1312758)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3598090610:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2900 on theBenchmark for (2900ds/141Mi)
% 29.00/11.62 % (1312758)Instruction limit reached!
% 29.00/11.62 % (1312758)------------------------------
% 29.00/11.62 % (1312758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.00/11.62 % (1312758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/11.62 % (1312758)CaDiCaL version: 2.1.3
% 29.00/11.62 % (1312758)Termination reason: Instruction limit
% 29.00/11.62 % (1312758)Termination phase: SInE selection
% 29.00/11.62 % (1312758)Time elapsed: 0.097 s
% 29.00/11.62 % (1312758)Peak memory usage: 164 MB
% 29.00/11.62 % (1312758)Instructions burned: 142 (million)
% 29.00/11.62 % (1312712)Refutation found. Thanks to Tanya!
% 29.00/11.62 % SZS status Theorem for theBenchmark
% 29.00/11.62 % SZS output start Proof for theBenchmark
% See solution above
% 32.80/11.86 % (1312712)------------------------------
% 32.80/11.86 % (1312712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.80/11.86 % (1312712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.80/11.86 % (1312712)CaDiCaL version: 2.1.3
% 32.80/11.86 % (1312712)Termination reason: Refutation
% 32.80/11.86 % (1312712)Time elapsed: 2.786 s
% 32.80/11.86 % (1312712)Peak memory usage: 237 MB
% 32.80/11.86 % (1312712)Instructions burned: 2521 (million)
% 32.80/11.86 % (1312712)------------------------------
% 32.80/11.86 % (1312712)------------------------------
% 32.80/11.86 % (1312705)Success in time 10.299 s
% 32.80/11.86 % Vampire exiting
%------------------------------------------------------------------------------