%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM859+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:17:18 PM UTC 2026
% Result : Theorem 7.06s 1.81s
% Output : Refutation 8.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 21
% Syntax : Number of formulae : 197 ( 12 unt; 9 def)
% Number of atoms : 592 ( 25 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 679 ( 284 ~; 327 |; 45 &)
% ( 18 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 10 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 262 ( 0 sgn 247 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : lesseq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_ref) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( lesseq(X0,X1)
& lesseq(X1,X2) )
=> lesseq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_trans) ).
fof(f3,axiom,
! [X0,X1] :
( ( lesseq(X0,X1)
& lesseq(X1,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_antisymmetric) ).
fof(f4,axiom,
! [X0,X1] :
( lesseq(X0,X1)
| lesseq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lesseq_total) ).
fof(f7,axiom,
! [X0,X1] :
( max(X0,X1) = X0
| ~ lesseq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_1) ).
fof(f8,axiom,
! [X0,X1] :
( max(X0,X1) = X1
| ~ lesseq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_2) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ub(X0,X1,X2)
<=> ( lesseq(X0,X2)
& lesseq(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ub) ).
fof(f10,axiom,
! [X0,X1,X2] :
( model_max(X0,X1,X2)
<=> lesseq(max(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_max_2) ).
fof(f11,axiom,
! [X0,X1,X2] :
( model_ub(X0,X1,X2)
<=> ? [X3] :
( ub(X0,X1,X3)
& lesseq(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',model_ub_2) ).
fof(f12,axiom,
! [X0,X1,X2] :
( minsol_model_max(X0,X1,X2)
<=> ( model_max(X0,X1,X2)
& ! [X3] :
( model_max(X0,X1,X3)
=> lesseq(X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_max) ).
fof(f13,axiom,
! [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<=> ( model_ub(X0,X1,X2)
& ! [X3] :
( model_ub(X0,X1,X3)
=> lesseq(X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minsol_model_ub) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_ub_1) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<=> minsol_model_max(X0,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1,X2] :
( lesseq(X0,X2)
| ~ lesseq(X0,X1)
| ~ lesseq(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f17,plain,
! [X0,X1,X2] :
( lesseq(X0,X2)
| ~ lesseq(X0,X1)
| ~ lesseq(X1,X2) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( X0 = X1
| ~ lesseq(X0,X1)
| ~ lesseq(X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f19,plain,
! [X0,X1] :
( X0 = X1
| ~ lesseq(X0,X1)
| ~ lesseq(X1,X0) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( minsol_model_max(X0,X1,X2)
<=> ( model_max(X0,X1,X2)
& ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X0,X1,X3) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f21,plain,
! [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<=> ( model_ub(X0,X1,X2)
& ! [X3] :
( lesseq(X2,X3)
| ~ model_ub(X0,X1,X3) ) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f22,plain,
? [X0,X1,X2] :
( minsol_model_ub(X0,X1,X2)
<~> minsol_model_max(X0,X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( ub(X0,X1,X2)
| ~ lesseq(X0,X2)
| ~ lesseq(X1,X2) )
& ( ( lesseq(X0,X2)
& lesseq(X1,X2) )
| ~ ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( ub(X0,X1,X2)
| ~ lesseq(X0,X2)
| ~ lesseq(X1,X2) )
& ( ( lesseq(X0,X2)
& lesseq(X1,X2) )
| ~ ub(X0,X1,X2) ) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( model_max(X0,X1,X2)
| ~ lesseq(max(X0,X1),X2) )
& ( lesseq(max(X0,X1),X2)
| ~ model_max(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( model_ub(X0,X1,X2)
| ! [X3] :
( ~ ub(X0,X1,X3)
| ~ lesseq(X3,X2) ) )
& ( ? [X3] :
( ub(X0,X1,X3)
& lesseq(X3,X2) )
| ~ model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( model_ub(X0,X1,X2)
| ! [X3] :
( ~ ub(X0,X1,X3)
| ~ lesseq(X3,X2) ) )
& ( ? [X4] :
( ub(X0,X1,X4)
& lesseq(X4,X2) )
| ~ model_ub(X0,X1,X2) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( model_ub(X0,X1,X2)
| ! [X3] :
( ~ ub(X0,X1,X3)
| ~ lesseq(X3,X2) ) )
& ( ( ub(X0,X1,sK0(X0,X1,X2))
& lesseq(sK0(X0,X1,X2),X2) )
| ~ model_ub(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X0,X1,X2))],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X0,X1,X2)
| ~ model_max(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X0,X1,X3) ) )
& ( ( model_max(X0,X1,X2)
& ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X0,X1,X3) ) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X0,X1,X2)
| ~ model_max(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X0,X1,X3) ) )
& ( ( model_max(X0,X1,X2)
& ! [X3] :
( lesseq(X2,X3)
| ~ model_max(X0,X1,X3) ) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X0,X1,X2)
| ~ model_max(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_max(X0,X1,X3) ) )
& ( ( model_max(X0,X1,X2)
& ! [X4] :
( lesseq(X2,X4)
| ~ model_max(X0,X1,X4) ) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(rectify,[],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( minsol_model_max(X0,X1,X2)
| ~ model_max(X0,X1,X2)
| ( ~ lesseq(X2,sK1(X0,X1,X2))
& model_max(X0,X1,sK1(X0,X1,X2)) ) )
& ( ( model_max(X0,X1,X2)
& ! [X4] :
( lesseq(X2,X4)
| ~ model_max(X0,X1,X4) ) )
| ~ minsol_model_max(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f33]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_ub(X0,X1,X3) ) )
& ( ( model_ub(X0,X1,X2)
& ! [X3] :
( lesseq(X2,X3)
| ~ model_ub(X0,X1,X3) ) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_ub(X0,X1,X3) ) )
& ( ( model_ub(X0,X1,X2)
& ! [X3] :
( lesseq(X2,X3)
| ~ model_ub(X0,X1,X3) ) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2)
| ? [X3] :
( ~ lesseq(X2,X3)
& model_ub(X0,X1,X3) ) )
& ( ( model_ub(X0,X1,X2)
& ! [X4] :
( lesseq(X2,X4)
| ~ model_ub(X0,X1,X4) ) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(rectify,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X2)
| ( ~ lesseq(X2,sK2(X0,X1,X2))
& model_ub(X0,X1,sK2(X0,X1,X2)) ) )
& ( ( model_ub(X0,X1,X2)
& ! [X4] :
( lesseq(X2,X4)
| ~ model_ub(X0,X1,X4) ) )
| ~ minsol_model_ub(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f37]) ).
fof(f39,plain,
? [X0,X1,X2] :
( ( ~ minsol_model_max(X0,X1,X2)
| ~ minsol_model_ub(X0,X1,X2) )
& ( minsol_model_max(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f40,plain,
( ( ~ minsol_model_max(sK3,sK4,sK5)
| ~ minsol_model_ub(sK3,sK4,sK5) )
& ( minsol_model_max(sK3,sK4,sK5)
| minsol_model_ub(sK3,sK4,sK5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f39]) ).
fof(f41,plain,
! [X0] : lesseq(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ lesseq(X1,X2)
| ~ lesseq(X0,X1)
| lesseq(X0,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f43,plain,
! [X0,X1] :
( ~ lesseq(X1,X0)
| ~ lesseq(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0,X1] :
( lesseq(X0,X1)
| lesseq(X1,X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f49,plain,
! [X0,X1] :
( ~ lesseq(X1,X0)
| max(X0,X1) = X0 ),
inference(cnf_transformation,[],[f7]) ).
fof(f50,plain,
! [X0,X1] :
( ~ lesseq(X0,X1)
| max(X0,X1) = X1 ),
inference(cnf_transformation,[],[f8]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ ub(X0,X1,X2)
| lesseq(X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ ub(X0,X1,X2)
| lesseq(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ub(X0,X1,X2)
| ~ lesseq(X0,X2)
| ~ lesseq(X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f54,plain,
! [X2,X0,X1] :
( lesseq(max(X0,X1),X2)
| ~ model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ lesseq(max(X0,X1),X2)
| model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f56,plain,
! [X2,X0,X1] :
( lesseq(sK0(X0,X1,X2),X2)
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ub(X0,X1,sK0(X0,X1,X2))
| ~ model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f58,plain,
! [X2,X3,X0,X1] :
( ~ ub(X0,X1,X3)
| model_ub(X0,X1,X2)
| ~ lesseq(X3,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f59,plain,
! [X2,X0,X1,X4] :
( ~ minsol_model_max(X0,X1,X2)
| ~ model_max(X0,X1,X4)
| lesseq(X2,X4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ minsol_model_max(X0,X1,X2)
| model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f61,plain,
! [X2,X0,X1] :
( model_max(X0,X1,sK1(X0,X1,X2))
| ~ model_max(X0,X1,X2)
| minsol_model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ lesseq(X2,sK1(X0,X1,X2))
| ~ model_max(X0,X1,X2)
| minsol_model_max(X0,X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f63,plain,
! [X2,X0,X1,X4] :
( ~ minsol_model_ub(X0,X1,X2)
| ~ model_ub(X0,X1,X4)
| lesseq(X2,X4) ),
inference(cnf_transformation,[],[f38]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ minsol_model_ub(X0,X1,X2)
| model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f65,plain,
! [X2,X0,X1] :
( model_ub(X0,X1,sK2(X0,X1,X2))
| ~ model_ub(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ lesseq(X2,sK2(X0,X1,X2))
| ~ model_ub(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f67,plain,
( minsol_model_max(sK3,sK4,sK5)
| minsol_model_ub(sK3,sK4,sK5) ),
inference(cnf_transformation,[],[f40]) ).
fof(f68,plain,
( ~ minsol_model_max(sK3,sK4,sK5)
| ~ minsol_model_ub(sK3,sK4,sK5) ),
inference(cnf_transformation,[],[f40]) ).
fof(f70,definition,
( spl6_1
<=> minsol_model_ub(sK3,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f71,plain,
( ~ minsol_model_ub(sK3,sK4,sK5)
| spl6_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f72,plain,
( minsol_model_ub(sK3,sK4,sK5)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl6_2
<=> minsol_model_max(sK3,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f75,plain,
( ~ minsol_model_max(sK3,sK4,sK5)
| spl6_2 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( minsol_model_max(sK3,sK4,sK5)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f67,f74,f70]) ).
fof(f78,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f68,f74,f70]) ).
fof(f79,plain,
( ! [X0] :
( ~ model_max(sK3,sK4,X0)
| lesseq(sK5,X0) )
| ~ spl6_2 ),
inference(resolution,[],[f76,f59]) ).
fof(f80,plain,
( model_max(sK3,sK4,sK5)
| ~ spl6_2 ),
inference(resolution,[],[f76,f60]) ).
fof(f87,plain,
! [X2,X0,X1] :
( lesseq(X0,sK0(X1,X0,X2))
| ~ model_ub(X1,X0,X2) ),
inference(resolution,[],[f51,f57]) ).
fof(f88,plain,
! [X2,X0,X1] :
( lesseq(X0,sK0(X0,X1,X2))
| ~ model_ub(X0,X1,X2) ),
inference(resolution,[],[f52,f57]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ~ lesseq(X2,X1)
| ~ lesseq(X0,X1)
| model_ub(X0,X2,X3)
| ~ lesseq(X1,X3) ),
inference(resolution,[],[f53,f58]) ).
fof(f93,plain,
! [X0,X1] :
( lesseq(X0,X1)
| max(X0,X1) = X0 ),
inference(resolution,[],[f49,f44]) ).
fof(f122,plain,
! [X2,X3,X0,X1] :
( ~ lesseq(X0,sK0(X1,X2,X3))
| lesseq(X0,X3)
| ~ model_ub(X1,X2,X3) ),
inference(resolution,[],[f42,f56]) ).
fof(f150,plain,
! [X2,X0,X1] :
( model_ub(X0,X1,X2)
| ~ lesseq(X0,X1)
| ~ lesseq(X1,X2) ),
inference(resolution,[],[f91,f41]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( ~ lesseq(X1,X3)
| model_ub(X0,X2,X3)
| ~ lesseq(X0,X1)
| lesseq(X1,X2) ),
inference(resolution,[],[f91,f44]) ).
fof(f160,plain,
! [X0,X1] : model_max(X0,X1,max(X0,X1)),
inference(resolution,[],[f55,f41]) ).
fof(f187,plain,
! [X2,X0,X1] :
( lesseq(X0,X1)
| ~ model_ub(X2,X0,X1)
| ~ model_ub(X2,X0,X1) ),
inference(resolution,[],[f122,f87]) ).
fof(f188,plain,
! [X2,X0,X1] :
( lesseq(X0,X1)
| ~ model_ub(X0,X2,X1)
| ~ model_ub(X0,X2,X1) ),
inference(resolution,[],[f122,f88]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ model_ub(X0,X2,X1)
| lesseq(X0,X1) ),
inference(duplicate_literal_removal,[],[f188]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ model_ub(X2,X0,X1)
| lesseq(X0,X1) ),
inference(duplicate_literal_removal,[],[f187]) ).
fof(f198,plain,
! [X2,X0,X1] :
( lesseq(X0,sK2(X1,X0,X2))
| ~ model_ub(X1,X0,X2)
| minsol_model_ub(X1,X0,X2) ),
inference(resolution,[],[f197,f65]) ).
fof(f199,plain,
! [X2,X0,X1] :
( lesseq(X0,sK2(X0,X1,X2))
| ~ model_ub(X0,X1,X2)
| minsol_model_ub(X0,X1,X2) ),
inference(resolution,[],[f196,f65]) ).
fof(f200,plain,
( lesseq(sK5,max(sK3,sK4))
| ~ spl6_2 ),
inference(resolution,[],[f160,f79]) ).
fof(f205,plain,
( ~ lesseq(max(sK3,sK4),sK5)
| sK5 = max(sK3,sK4)
| ~ spl6_2 ),
inference(resolution,[],[f200,f43]) ).
fof(f209,definition,
( spl6_3
<=> sK5 = max(sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f211,plain,
( sK5 = max(sK3,sK4)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f213,definition,
( spl6_4
<=> lesseq(max(sK3,sK4),sK5) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f215,plain,
( ~ lesseq(max(sK3,sK4),sK5)
| spl6_4 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f216,plain,
( spl6_3
| ~ spl6_4
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f205,f74,f213,f209]) ).
fof(f235,plain,
! [X0,X1] :
( ~ model_ub(X0,X1,X1)
| minsol_model_ub(X0,X1,X1)
| ~ model_ub(X0,X1,X1)
| minsol_model_ub(X0,X1,X1) ),
inference(resolution,[],[f198,f66]) ).
fof(f244,plain,
! [X0,X1] :
( ~ model_ub(X0,X1,X1)
| minsol_model_ub(X0,X1,X1) ),
inference(duplicate_literal_removal,[],[f235]) ).
fof(f245,plain,
! [X0,X1] :
( minsol_model_ub(X0,X1,X1)
| ~ lesseq(X0,X1)
| ~ lesseq(X1,X1) ),
inference(resolution,[],[f244,f150]) ).
fof(f246,plain,
! [X0,X1] :
( minsol_model_ub(X0,X1,X1)
| ~ lesseq(X0,X1) ),
inference(forward_subsumption_resolution,[],[f245,f41]) ).
fof(f248,plain,
! [X0,X1] :
( model_ub(X0,X1,X1)
| ~ lesseq(X0,X1) ),
inference(resolution,[],[f246,f64]) ).
fof(f264,plain,
! [X0,X1] :
( ~ model_ub(X0,X1,X0)
| minsol_model_ub(X0,X1,X0)
| ~ model_ub(X0,X1,X0)
| minsol_model_ub(X0,X1,X0) ),
inference(resolution,[],[f199,f66]) ).
fof(f273,plain,
! [X0,X1] :
( ~ model_ub(X0,X1,X0)
| minsol_model_ub(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f276,plain,
( ~ model_max(sK3,sK4,sK5)
| spl6_4 ),
inference(resolution,[],[f215,f54]) ).
fof(f281,plain,
( $false
| ~ spl6_2
| spl6_4 ),
inference(forward_subsumption_resolution,[],[f276,f80]) ).
fof(f282,plain,
( ~ spl6_2
| spl6_4 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f283,plain,
( ! [X0] :
( ~ model_ub(sK3,sK4,X0)
| lesseq(sK5,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f72,f63]) ).
fof(f284,plain,
( model_ub(sK3,sK4,sK5)
| ~ spl6_1 ),
inference(resolution,[],[f72,f64]) ).
fof(f286,plain,
( lesseq(sK3,sK5)
| ~ spl6_1 ),
inference(resolution,[],[f284,f196]) ).
fof(f287,plain,
( lesseq(sK4,sK5)
| ~ spl6_1 ),
inference(resolution,[],[f284,f197]) ).
fof(f291,plain,
( ~ lesseq(sK5,sK3)
| sK3 = sK5
| ~ spl6_1 ),
inference(resolution,[],[f286,f43]) ).
fof(f292,plain,
( sK5 = max(sK3,sK5)
| ~ spl6_1 ),
inference(resolution,[],[f286,f50]) ).
fof(f295,definition,
( spl6_5
<=> sK3 = sK5 ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f297,plain,
( sK3 = sK5
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f299,definition,
( spl6_6
<=> lesseq(sK5,sK3) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f301,plain,
( ~ lesseq(sK5,sK3)
| spl6_6 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f302,plain,
( spl6_5
| ~ spl6_6
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f291,f70,f299,f295]) ).
fof(f306,plain,
( ~ lesseq(sK5,sK4)
| sK4 = sK5
| ~ spl6_1 ),
inference(resolution,[],[f287,f43]) ).
fof(f308,plain,
( sK5 = max(sK5,sK4)
| ~ spl6_1 ),
inference(resolution,[],[f287,f49]) ).
fof(f310,definition,
( spl6_7
<=> sK4 = sK5 ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f312,plain,
( sK4 = sK5
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl6_8
<=> lesseq(sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f316,plain,
( ~ lesseq(sK5,sK4)
| spl6_8 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,plain,
( spl6_7
| ~ spl6_8
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f306,f70,f314,f310]) ).
fof(f321,plain,
( lesseq(sK5,sK4)
| ~ lesseq(sK3,sK4)
| ~ spl6_1 ),
inference(resolution,[],[f283,f248]) ).
fof(f322,plain,
( ~ lesseq(sK3,sK4)
| ~ spl6_1
| spl6_8 ),
inference(forward_subsumption_resolution,[],[f321,f316]) ).
fof(f324,definition,
( spl6_9
<=> lesseq(sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f325,plain,
( lesseq(sK3,sK4)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f326,plain,
( ~ lesseq(sK3,sK4)
| spl6_9 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f331,plain,
( ~ spl6_9
| ~ spl6_1
| spl6_8 ),
inference(avatar_split_clause,[],[f322,f314,f70,f324]) ).
fof(f351,plain,
( ! [X0] :
( ~ model_max(sK5,sK4,X0)
| lesseq(sK5,X0) )
| ~ spl6_1 ),
inference(superposition,[],[f54,f308]) ).
fof(f352,plain,
( model_max(sK3,sK5,sK5)
| ~ spl6_1 ),
inference(superposition,[],[f160,f292]) ).
fof(f354,plain,
( ! [X0] :
( ~ model_max(sK3,sK5,X0)
| lesseq(sK5,X0) )
| ~ spl6_1 ),
inference(superposition,[],[f54,f292]) ).
fof(f377,plain,
( sK3 = max(sK3,sK4)
| spl6_9 ),
inference(resolution,[],[f326,f93]) ).
fof(f395,plain,
( model_max(sK3,sK4,sK3)
| spl6_9 ),
inference(superposition,[],[f160,f377]) ).
fof(f569,plain,
! [X2,X0,X1] :
( model_ub(X0,X1,X2)
| ~ lesseq(X0,X2)
| lesseq(X2,X1) ),
inference(resolution,[],[f152,f41]) ).
fof(f600,plain,
! [X0,X1] :
( ~ lesseq(X0,X0)
| lesseq(X0,X1)
| minsol_model_ub(X0,X1,X0) ),
inference(resolution,[],[f569,f273]) ).
fof(f604,plain,
! [X0,X1] :
( minsol_model_ub(X0,X1,X0)
| lesseq(X0,X1) ),
inference(forward_subsumption_resolution,[],[f600,f41]) ).
fof(f606,plain,
! [X0,X1] :
( model_ub(X0,X1,X0)
| lesseq(X0,X1) ),
inference(resolution,[],[f604,f64]) ).
fof(f615,plain,
( lesseq(sK3,sK4)
| lesseq(sK5,sK3)
| ~ spl6_1 ),
inference(resolution,[],[f606,f283]) ).
fof(f616,plain,
( lesseq(sK5,sK3)
| ~ spl6_1
| spl6_9 ),
inference(forward_subsumption_resolution,[],[f615,f326]) ).
fof(f617,plain,
( $false
| ~ spl6_1
| spl6_6
| spl6_9 ),
inference(forward_subsumption_resolution,[],[f616,f301]) ).
fof(f618,plain,
( ~ spl6_1
| spl6_6
| spl6_9 ),
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f624,plain,
( ~ minsol_model_max(sK3,sK4,sK3)
| spl6_2
| ~ spl6_5 ),
inference(superposition,[],[f75,f297]) ).
fof(f953,plain,
( ! [X0] :
( lesseq(sK5,sK1(sK5,sK4,X0))
| ~ model_max(sK5,sK4,X0)
| minsol_model_max(sK5,sK4,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f351,f61]) ).
fof(f957,plain,
( ! [X0] :
( lesseq(sK3,sK1(sK3,sK4,X0))
| ~ model_max(sK5,sK4,X0)
| minsol_model_max(sK5,sK4,X0) )
| ~ spl6_1
| ~ spl6_5 ),
inference(forward_demodulation,[],[f953,f297]) ).
fof(f958,plain,
( ! [X0] :
( ~ model_max(sK3,sK4,X0)
| lesseq(sK3,sK1(sK3,sK4,X0))
| minsol_model_max(sK5,sK4,X0) )
| ~ spl6_1
| ~ spl6_5 ),
inference(forward_demodulation,[],[f957,f297]) ).
fof(f959,plain,
( ! [X0] :
( lesseq(sK3,sK1(sK3,sK4,X0))
| ~ model_max(sK3,sK4,X0)
| minsol_model_max(sK3,sK4,X0) )
| ~ spl6_1
| ~ spl6_5 ),
inference(forward_demodulation,[],[f958,f297]) ).
fof(f960,plain,
( ~ model_max(sK3,sK4,sK3)
| minsol_model_max(sK3,sK4,sK3)
| ~ model_max(sK3,sK4,sK3)
| minsol_model_max(sK3,sK4,sK3)
| ~ spl6_1
| ~ spl6_5 ),
inference(resolution,[],[f959,f62]) ).
fof(f968,plain,
( ~ model_max(sK3,sK4,sK3)
| minsol_model_max(sK3,sK4,sK3)
| ~ spl6_1
| ~ spl6_5 ),
inference(duplicate_literal_removal,[],[f960]) ).
fof(f969,plain,
( minsol_model_max(sK3,sK4,sK3)
| ~ spl6_1
| ~ spl6_5
| spl6_9 ),
inference(forward_subsumption_resolution,[],[f968,f395]) ).
fof(f970,plain,
( $false
| ~ spl6_1
| spl6_2
| ~ spl6_5
| spl6_9 ),
inference(forward_subsumption_resolution,[],[f969,f624]) ).
fof(f971,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_5
| spl6_9 ),
inference(avatar_contradiction_clause,[],[f970]) ).
fof(f1093,plain,
( ~ minsol_model_max(sK3,sK4,sK4)
| spl6_2
| ~ spl6_7 ),
inference(superposition,[],[f75,f312]) ).
fof(f1113,plain,
( model_max(sK3,sK4,sK4)
| ~ spl6_1
| ~ spl6_7 ),
inference(superposition,[],[f352,f312]) ).
fof(f1137,plain,
( sK4 = max(sK3,sK4)
| ~ spl6_9 ),
inference(resolution,[],[f325,f50]) ).
fof(f1216,plain,
( ! [X0] :
( lesseq(sK5,sK1(sK3,sK5,X0))
| ~ model_max(sK3,sK5,X0)
| minsol_model_max(sK3,sK5,X0) )
| ~ spl6_1 ),
inference(resolution,[],[f354,f61]) ).
fof(f1220,plain,
( ! [X0] :
( lesseq(sK4,sK1(sK3,sK4,X0))
| ~ model_max(sK3,sK5,X0)
| minsol_model_max(sK3,sK5,X0) )
| ~ spl6_1
| ~ spl6_7 ),
inference(forward_demodulation,[],[f1216,f312]) ).
fof(f1221,plain,
( ! [X0] :
( ~ model_max(sK3,sK4,X0)
| lesseq(sK4,sK1(sK3,sK4,X0))
| minsol_model_max(sK3,sK5,X0) )
| ~ spl6_1
| ~ spl6_7 ),
inference(forward_demodulation,[],[f1220,f312]) ).
fof(f1222,plain,
( ! [X0] :
( lesseq(sK4,sK1(sK3,sK4,X0))
| ~ model_max(sK3,sK4,X0)
| minsol_model_max(sK3,sK4,X0) )
| ~ spl6_1
| ~ spl6_7 ),
inference(forward_demodulation,[],[f1221,f312]) ).
fof(f1223,plain,
( ~ model_max(sK3,sK4,sK4)
| minsol_model_max(sK3,sK4,sK4)
| ~ model_max(sK3,sK4,sK4)
| minsol_model_max(sK3,sK4,sK4)
| ~ spl6_1
| ~ spl6_7 ),
inference(resolution,[],[f1222,f62]) ).
fof(f1231,plain,
( ~ model_max(sK3,sK4,sK4)
| minsol_model_max(sK3,sK4,sK4)
| ~ spl6_1
| ~ spl6_7 ),
inference(duplicate_literal_removal,[],[f1223]) ).
fof(f1232,plain,
( minsol_model_max(sK3,sK4,sK4)
| ~ spl6_1
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f1231,f1113]) ).
fof(f1233,plain,
( $false
| ~ spl6_1
| spl6_2
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f1232,f1093]) ).
fof(f1234,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f1233]) ).
fof(f1310,plain,
( sK4 = sK5
| ~ spl6_3
| ~ spl6_9 ),
inference(superposition,[],[f1137,f211]) ).
fof(f1314,plain,
( spl6_7
| ~ spl6_3
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f1310,f324,f209,f310]) ).
fof(f1315,plain,
( ~ minsol_model_ub(sK3,sK4,sK4)
| spl6_1
| ~ spl6_7 ),
inference(superposition,[],[f71,f312]) ).
fof(f1329,plain,
( ~ lesseq(sK3,sK4)
| spl6_1
| ~ spl6_7 ),
inference(resolution,[],[f1315,f246]) ).
fof(f1330,plain,
( $false
| spl6_1
| ~ spl6_7
| ~ spl6_9 ),
inference(forward_subsumption_resolution,[],[f1329,f325]) ).
fof(f1331,plain,
( spl6_1
| ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f1330]) ).
fof(f1361,plain,
( sK3 = max(sK3,sK4)
| spl6_9 ),
inference(resolution,[],[f326,f93]) ).
fof(f1373,plain,
( sK3 = sK5
| ~ spl6_3
| spl6_9 ),
inference(superposition,[],[f211,f1361]) ).
fof(f1377,plain,
( spl6_5
| ~ spl6_3
| spl6_9 ),
inference(avatar_split_clause,[],[f1373,f324,f209,f295]) ).
fof(f1379,plain,
( ~ minsol_model_ub(sK3,sK4,sK3)
| spl6_1
| ~ spl6_5 ),
inference(superposition,[],[f71,f297]) ).
fof(f1425,plain,
( lesseq(sK3,sK4)
| spl6_1
| ~ spl6_5 ),
inference(resolution,[],[f1379,f604]) ).
fof(f1426,plain,
( $false
| spl6_1
| ~ spl6_5
| spl6_9 ),
inference(forward_subsumption_resolution,[],[f1425,f326]) ).
fof(f1427,plain,
( spl6_1
| ~ spl6_5
| spl6_9 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f77]) ).
cnf(s2,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f78]) ).
cnf(s3,plain,
( ~ spl6_2
| spl6_3
| ~ spl6_4 ),
inference(sat_conversion,[],[f216]) ).
cnf(s4,plain,
( ~ spl6_2
| spl6_4 ),
inference(sat_conversion,[],[f282]) ).
cnf(s5,plain,
( ~ spl6_1
| spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f302]) ).
cnf(s6,plain,
( ~ spl6_1
| spl6_7
| ~ spl6_8 ),
inference(sat_conversion,[],[f317]) ).
cnf(s8,plain,
( ~ spl6_1
| spl6_8
| ~ spl6_9 ),
inference(sat_conversion,[],[f331]) ).
cnf(s11,plain,
( ~ spl6_1
| spl6_6
| spl6_9 ),
inference(sat_conversion,[],[f618]) ).
cnf(s12,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_5
| spl6_9 ),
inference(sat_conversion,[],[f971]) ).
cnf(s14,plain,
( ~ spl6_1
| spl6_2
| ~ spl6_7 ),
inference(sat_conversion,[],[f1234]) ).
cnf(s18,plain,
( ~ spl6_3
| spl6_7
| ~ spl6_9 ),
inference(sat_conversion,[],[f1314]) ).
cnf(s21,plain,
( spl6_1
| ~ spl6_7
| ~ spl6_9 ),
inference(sat_conversion,[],[f1331]) ).
cnf(s32,plain,
( ~ spl6_3
| spl6_5
| spl6_9 ),
inference(sat_conversion,[],[f1377]) ).
cnf(s43,plain,
( spl6_1
| ~ spl6_5
| spl6_9 ),
inference(sat_conversion,[],[f1427]) ).
cnf(s44,plain,
( ~ spl6_9
| spl6_1 ),
inference(rat,[],[s21,s18,s3,s4,s1]) ).
cnf(s45,plain,
spl6_1,
inference(rat,[],[s43,s32,s44,s3,s4,s1]) ).
cnf(s46,plain,
~ spl6_2,
inference(rat,[],[s2,s45]) ).
cnf(s47,plain,
~ spl6_7,
inference(rat,[],[s14,s45,s46]) ).
cnf(s48,plain,
~ spl6_8,
inference(rat,[],[s6,s45,s47]) ).
cnf(s49,plain,
~ spl6_9,
inference(rat,[],[s8,s45,s48]) ).
cnf(s51,plain,
spl6_6,
inference(rat,[],[s11,s45,s49]) ).
cnf(s52,plain,
~ spl6_5,
inference(rat,[],[s12,s46,s45,s49]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s5,s45,s52,s51]) ).
fof(f1428,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM859+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 21:32:56 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 7.06/1.81 % (1796055)Detected formulas, will run a generic FOF schedule.
% 7.06/1.81 % (1796062)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=1301715353:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.06/1.81 % (1796060)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=1178466805:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.06/1.81 % (1796063)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2812030112:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.06/1.81 % (1796061)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=3437913203:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.06/1.81 % (1796064)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=447423211:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.06/1.81 % (1796066)dis-21_1_sil=8000:lcm=predicate:random_seed=2282097337: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)
% 7.06/1.81 % (1796065)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2478669465:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.06/1.81 % (1796063)Refutation not found, incomplete strategy
% 7.06/1.81 % (1796063)------------------------------
% 7.06/1.81 % (1796063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.81 % (1796063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.81 % (1796063)CaDiCaL version: 2.1.3
% 7.06/1.81 % (1796063)Termination reason: Refutation not found, incomplete strategy
% 7.06/1.81 % (1796063)Time elapsed: 0.001 s
% 7.06/1.81 % (1796063)Peak memory usage: 87 MB
% 7.06/1.81 % (1796064)Instruction limit reached!
% 7.06/1.81 % (1796064)------------------------------
% 7.06/1.81 % (1796064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.81 % (1796064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.81 % (1796064)CaDiCaL version: 2.1.3
% 7.06/1.81 % (1796064)Termination reason: Instruction limit
% 7.06/1.81 % (1796064)Termination phase: Saturation
% 7.06/1.81 % (1796064)Time elapsed: 0.072 s
% 7.06/1.81 % (1796064)Peak memory usage: 88 MB
% 7.06/1.81 % (1796064)Instructions burned: 120 (million)
% 7.06/1.81 % (1796066)Instruction limit reached!
% 7.06/1.81 % (1796066)------------------------------
% 7.06/1.81 % (1796066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.81 % (1796066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.81 % (1796066)CaDiCaL version: 2.1.3
% 7.06/1.81 % (1796066)Termination reason: Instruction limit
% 7.06/1.81 % (1796066)Termination phase: Saturation
% 7.06/1.81 % (1796066)Time elapsed: 0.082 s
% 7.06/1.81 % (1796066)Peak memory usage: 89 MB
% 7.06/1.81 % (1796066)Instructions burned: 130 (million)
% 7.06/1.81 % (1796065)Instruction limit reached!
% 7.06/1.81 % (1796065)------------------------------
% 7.06/1.81 % (1796065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.81 % (1796065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.81 % (1796065)CaDiCaL version: 2.1.3
% 7.06/1.81 % (1796065)Termination reason: Instruction limit
% 7.06/1.81 % (1796065)Termination phase: Saturation
% 7.06/1.81 % (1796065)Time elapsed: 0.091 s
% 7.06/1.81 % (1796065)Peak memory usage: 89 MB
% 7.06/1.81 % (1796065)Instructions burned: 139 (million)
% 7.06/1.81 % (1796074)lrs+10_1_sil=8000:sp=occurrence:random_seed=129147882:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.06/1.81 % (1796076)lrs+1011_1_sil=32000:sp=occurrence:random_seed=398065846:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.06/1.81 % (1796075)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4247009645:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.06/1.81 % (1796076)Refutation not found, incomplete strategy
% 7.06/1.81 % (1796076)------------------------------
% 7.06/1.81 % (1796076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.81 % (1796076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.81 % (1796076)CaDiCaL version: 2.1.3
% 7.06/1.81 % (1796076)Termination reason: Refutation not found, incomplete strategy
% 7.06/1.81 % (1796076)Time elapsed: 0.001 s
% 7.06/1.81 % (1796076)Peak memory usage: 88 MB
% 7.06/1.81 % (1796075)Refutation not found, incomplete strategy
% 7.06/1.81 % (1796075)------------------------------
% 7.06/1.81 % (1796075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.81 % (1796075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.81 % (1796075)CaDiCaL version: 2.1.3
% 7.06/1.81 % (1796075)Termination reason: Refutation not found, incomplete strategy
% 7.06/1.81 % (1796075)Time elapsed: 0.001 s
% 7.06/1.81 % (1796075)Peak memory usage: 88 MB
% 7.06/1.81 % (1796075)Instructions burned: 1 (million)
% 7.06/1.81 % (1796063)------------------------------
% 7.06/1.81 % (1796063)------------------------------
% 7.06/1.81 % (1796076)------------------------------
% 7.06/1.81 % (1796076)------------------------------
% 7.06/1.81 % (1796074)Instruction limit reached!
% 7.06/1.81 % (1796074)------------------------------
% 7.06/1.81 % (1796074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.81 % (1796074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.81 % (1796074)CaDiCaL version: 2.1.3
% 7.06/1.81 % (1796074)Termination reason: Instruction limit
% 7.06/1.81 % (1796074)Termination phase: Saturation
% 7.06/1.81 % (1796074)Time elapsed: 0.170 s
% 7.06/1.81 % (1796074)Peak memory usage: 90 MB
% 7.06/1.81 % (1796074)Instructions burned: 285 (million)
% 7.06/1.81 % (1796080)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=798181884:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.06/1.81 % (1796075)------------------------------
% 7.06/1.81 % (1796075)------------------------------
% 7.06/1.81 % (1796082)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2828916709:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.06/1.81 % (1796081)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1419106100:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.06/1.81 % (1796081)Refutation not found, incomplete strategy
% 7.06/1.81 % (1796081)------------------------------
% 7.06/1.81 % (1796081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.81 % (1796081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.81 % (1796081)CaDiCaL version: 2.1.3
% 7.06/1.81 % (1796081)Termination reason: Refutation not found, incomplete strategy
% 7.06/1.81 % (1796081)Time elapsed: 0.002 s
% 7.06/1.81 % (1796081)Peak memory usage: 88 MB
% 7.06/1.81 % (1796081)Instructions burned: 1 (million)
% 7.06/1.81 % (1796080)Instruction limit reached!
% 7.06/1.81 % (1796080)------------------------------
% 7.06/1.81 % (1796080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.81 % (1796080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.81 % (1796080)CaDiCaL version: 2.1.3
% 7.06/1.81 % (1796080)Termination reason: Instruction limit
% 7.06/1.81 % (1796080)Termination phase: Saturation
% 7.06/1.81 % (1796080)Time elapsed: 0.152 s
% 7.06/1.81 % (1796080)Peak memory usage: 92 MB
% 7.06/1.81 % (1796080)Instructions burned: 248 (million)
% 7.06/1.81 % (1796084)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2359462787:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.06/1.81 % (1796084)Instruction limit reached!
% 7.06/1.81 % (1796084)------------------------------
% 7.06/1.81 % (1796084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.81 % (1796084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.81 % (1796084)CaDiCaL version: 2.1.3
% 7.06/1.81 % (1796084)Termination reason: Instruction limit
% 7.06/1.81 % (1796084)Termination phase: Saturation
% 7.06/1.81 % (1796084)Time elapsed: 0.080 s
% 7.06/1.81 % (1796084)Peak memory usage: 89 MB
% 7.06/1.81 % (1796084)Instructions burned: 113 (million)
% 7.06/1.81 % (1796087)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1177330719:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.06/1.81 % (1796087)Instruction limit reached!
% 7.06/1.81 % (1796087)------------------------------
% 7.06/1.81 % (1796087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.81 % (1796087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.81 % (1796087)CaDiCaL version: 2.1.3
% 7.06/1.81 % (1796087)Termination reason: Instruction limit
% 7.06/1.81 % (1796087)Termination phase: Saturation
% 7.06/1.81 % (1796087)Time elapsed: 0.064 s
% 7.06/1.81 % (1796087)Peak memory usage: 88 MB
% 7.06/1.81 % (1796087)Instructions burned: 128 (million)
% 7.06/1.81 % (1796081)------------------------------
% 7.06/1.81 % (1796081)------------------------------
% 7.06/1.81 % (1796089)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=386821760:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.06/1.81 % (1796091)lrs+10_1_sil=8000:sp=occurrence:random_seed=2886281637:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.06/1.81 % (1796089)Instruction limit reached!
% 7.06/1.81 % (1796089)------------------------------
% 7.06/1.81 % (1796089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.06/1.81 % (1796089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.81 % (1796089)CaDiCaL version: 2.1.3
% 7.06/1.81 % (1796089)Termination reason: Instruction limit
% 7.06/1.81 % (1796089)Termination phase: Saturation
% 7.06/1.81 % (1796089)Time elapsed: 0.065 s
% 7.06/1.81 % (1796089)Peak memory usage: 88 MB
% 7.06/1.81 % (1796089)Instructions burned: 115 (million)
% 7.06/1.81 % (1796082)First to succeed.
% 7.06/1.81 % (1796082)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1796055"
% 7.06/1.81 % (1796092)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3510870891:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.06/1.81 % (1796095)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=750876717:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 7.06/1.81 % (1796060)Also succeeded, but the first one will report.
% 7.06/1.81 % (1796082)Refutation found. Thanks to Tanya!
% 7.06/1.81 % SZS status Theorem for theBenchmark
% 7.06/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 8.67/2.00 % (1796082)------------------------------
% 8.67/2.00 % (1796082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.67/2.00 % (1796082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.67/2.00 % (1796082)CaDiCaL version: 2.1.3
% 8.67/2.00 % (1796082)Termination reason: Refutation
% 8.67/2.00 % (1796082)Time elapsed: 0.429 s
% 8.67/2.00 % (1796082)Peak memory usage: 131 MB
% 8.67/2.00 % (1796082)Instructions burned: 1167 (million)
% 8.67/2.00 % (1796082)------------------------------
% 8.67/2.00 % (1796082)------------------------------
% 8.67/2.00 % (1796055)Success in time 1.185 s
% 8.67/2.00 % Vampire exiting
%------------------------------------------------------------------------------