%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO473+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:52:44 AM UTC 2026
% Result : Theorem 32.43s 6.37s
% Output : Refutation 33.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 16 unt; 2 def)
% Number of atoms : 102 ( 45 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 90 ( 40 ~; 41 |; 3 &)
% ( 4 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 46 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f277,axiom,
! [X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aLEu_REFL) ).
fof(f1710,axiom,
! [X0,X1] : p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X1))),s(fun(X0,bool),univ)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSUBSETu_UNIV) ).
fof(f3313,axiom,
! [X0,X1] : s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSPANu_SPAN) ).
fof(f3331,axiom,
! [X0] : s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),univ))) = s(fun(cart(real,X0),bool),univ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSPANu_UNIV) ).
fof(f3398,axiom,
! [X0] : s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),univ))) = s(num,i(s(fun(fun(X0,bool),num),dimindex),s(fun(X0,bool),univ))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDIMu_UNIV) ).
fof(f3407,axiom,
! [X0,X1] : s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))) = s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDIMu_SPAN) ).
fof(f3492,axiom,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2))))
& p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X2))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1)))))) )
=> s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDIMu_EQu_SPAN) ).
fof(f3493,conjecture,
! [X0,X1] :
( s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))) = s(num,i(s(fun(fun(X0,bool),num),dimindex),s(fun(X0,bool),univ)))
<=> s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),univ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aDIMu_EQu_FULL) ).
fof(f3494,negated_conjecture,
~ ! [X0,X1] :
( s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))) = s(num,i(s(fun(fun(X0,bool),num),dimindex),s(fun(X0,bool),univ)))
<=> s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),univ) ),
inference(negated_conjecture,[status(cth)],[f3493]) ).
fof(f4029,plain,
? [X0,X1] :
( s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))) = s(num,i(s(fun(fun(X0,bool),num),dimindex),s(fun(X0,bool),univ)))
<~> s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),univ) ),
inference(ennf_transformation,[],[f3494]) ).
fof(f4128,plain,
! [X0,X1,X2] :
( s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X2))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1)))))) ),
inference(ennf_transformation,[],[f3492]) ).
fof(f4129,plain,
! [X0,X1,X2] :
( s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X2))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1)))))) ),
inference(flattening,[],[f4128]) ).
fof(f6188,plain,
? [X0,X1] :
( ( s(fun(cart(real,X0),bool),univ) != s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))
| s(num,i(s(fun(fun(X0,bool),num),dimindex),s(fun(X0,bool),univ))) != s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))) )
& ( s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),univ)
| s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))) = s(num,i(s(fun(fun(X0,bool),num),dimindex),s(fun(X0,bool),univ))) ) ),
inference(nnf_transformation,[],[f4029]) ).
fof(f6189,plain,
( ( s(fun(cart(real,sK134),bool),univ) != s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),span),s(fun(cart(real,sK134),bool),sK135)))
| s(num,i(s(fun(fun(sK134,bool),num),dimindex),s(fun(sK134,bool),univ))) != s(num,i(s(fun(fun(cart(real,sK134),bool),num),dim),s(fun(cart(real,sK134),bool),sK135))) )
& ( s(fun(cart(real,sK134),bool),univ) = s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),span),s(fun(cart(real,sK134),bool),sK135)))
| s(num,i(s(fun(fun(sK134,bool),num),dimindex),s(fun(sK134,bool),univ))) = s(num,i(s(fun(fun(cart(real,sK134),bool),num),dim),s(fun(cart(real,sK134),bool),sK135))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK134,sK135]),skolemize(X0,sK134),skolemize(X1,sK135)],[f6188]) ).
fof(f9209,plain,
( s(fun(cart(real,sK134),bool),univ) = s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),span),s(fun(cart(real,sK134),bool),sK135)))
| s(num,i(s(fun(fun(sK134,bool),num),dimindex),s(fun(sK134,bool),univ))) = s(num,i(s(fun(fun(cart(real,sK134),bool),num),dim),s(fun(cart(real,sK134),bool),sK135))) ),
inference(cnf_transformation,[],[f6189]) ).
fof(f9210,plain,
( s(fun(cart(real,sK134),bool),univ) != s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),span),s(fun(cart(real,sK134),bool),sK135)))
| s(num,i(s(fun(fun(sK134,bool),num),dimindex),s(fun(sK134,bool),univ))) != s(num,i(s(fun(fun(cart(real,sK134),bool),num),dim),s(fun(cart(real,sK134),bool),sK135))) ),
inference(cnf_transformation,[],[f6189]) ).
fof(f9581,plain,
! [X0] : s(fun(cart(real,X0),bool),univ) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),univ))),
inference(cnf_transformation,[],[f3331]) ).
fof(f9645,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(fun(X0,bool),fun(fun(X0,bool),bool)),subset),s(fun(X0,bool),X1))),s(fun(X0,bool),univ)))),
inference(cnf_transformation,[],[f1710]) ).
fof(f9651,plain,
! [X0] : s(num,i(s(fun(fun(X0,bool),num),dimindex),s(fun(X0,bool),univ))) = s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),univ))),
inference(cnf_transformation,[],[f3398]) ).
fof(f9692,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X2))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),X2))))
| s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))) ),
inference(cnf_transformation,[],[f4129]) ).
fof(f9719,plain,
! [X0,X1] : s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))) = s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))),
inference(cnf_transformation,[],[f3407]) ).
fof(f9827,plain,
! [X0,X1] : s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))),
inference(cnf_transformation,[],[f3313]) ).
fof(f11056,plain,
! [X0] : p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,X0))),s(num,X0)))),
inference(cnf_transformation,[],[f277]) ).
fof(f16790,definition,
( spl3139_151
<=> s(num,i(s(fun(fun(sK134,bool),num),dimindex),s(fun(sK134,bool),univ))) = s(num,i(s(fun(fun(cart(real,sK134),bool),num),dim),s(fun(cart(real,sK134),bool),sK135))) ),
introduced(definition,[new_symbols(definition,[spl3139_151])],[avatar_definition]) ).
fof(f16791,plain,
( s(num,i(s(fun(fun(sK134,bool),num),dimindex),s(fun(sK134,bool),univ))) != s(num,i(s(fun(fun(cart(real,sK134),bool),num),dim),s(fun(cart(real,sK134),bool),sK135)))
| spl3139_151 ),
inference(avatar_component_clause,[],[f16790]) ).
fof(f16792,plain,
( s(num,i(s(fun(fun(sK134,bool),num),dimindex),s(fun(sK134,bool),univ))) = s(num,i(s(fun(fun(cart(real,sK134),bool),num),dim),s(fun(cart(real,sK134),bool),sK135)))
| ~ spl3139_151 ),
inference(avatar_component_clause,[],[f16790]) ).
fof(f16794,definition,
( spl3139_152
<=> s(fun(cart(real,sK134),bool),univ) = s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),span),s(fun(cart(real,sK134),bool),sK135))) ),
introduced(definition,[new_symbols(definition,[spl3139_152])],[avatar_definition]) ).
fof(f16795,plain,
( s(fun(cart(real,sK134),bool),univ) != s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),span),s(fun(cart(real,sK134),bool),sK135)))
| spl3139_152 ),
inference(avatar_component_clause,[],[f16794]) ).
fof(f16796,plain,
( s(fun(cart(real,sK134),bool),univ) = s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),span),s(fun(cart(real,sK134),bool),sK135)))
| ~ spl3139_152 ),
inference(avatar_component_clause,[],[f16794]) ).
fof(f16797,plain,
( spl3139_151
| spl3139_152 ),
inference(avatar_split_clause,[],[f9209,f16794,f16790]) ).
fof(f16798,plain,
( ~ spl3139_151
| ~ spl3139_152 ),
inference(avatar_split_clause,[],[f9210,f16794,f16790]) ).
fof(f17885,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X2))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))))
| s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))) ),
inference(superposition,[],[f9692,f9719]) ).
fof(f17893,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X2))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X2))))))
| s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))) ),
inference(forward_demodulation,[],[f17885,f9827]) ).
fof(f17997,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(fun(cart(real,X0),bool),fun(fun(cart(real,X0),bool),bool)),subset),s(fun(cart(real,X0),bool),X1))),s(fun(cart(real,X0),bool),univ))))
| ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),univ))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))))
| s(fun(cart(real,X0),bool),univ) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) ),
inference(superposition,[],[f17893,f9581]) ).
fof(f17999,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),univ))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))))
| s(fun(cart(real,X0),bool),univ) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) ),
inference(forward_subsumption_resolution,[],[f17997,f9645]) ).
fof(f18002,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(X0,bool),num),dimindex),s(fun(X0,bool),univ))))),s(num,i(s(fun(fun(cart(real,X0),bool),num),dim),s(fun(cart(real,X0),bool),X1))))))
| s(fun(cart(real,X0),bool),univ) = s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1))) ),
inference(forward_demodulation,[],[f17999,f9651]) ).
fof(f18061,plain,
( ~ p(s(bool,i(s(fun(num,bool),i(s(fun(num,fun(num,bool)),l_a_),s(num,i(s(fun(fun(sK134,bool),num),dimindex),s(fun(sK134,bool),univ))))),s(num,i(s(fun(fun(sK134,bool),num),dimindex),s(fun(sK134,bool),univ))))))
| s(fun(cart(real,sK134),bool),univ) = s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),span),s(fun(cart(real,sK134),bool),sK135)))
| ~ spl3139_151 ),
inference(superposition,[],[f18002,f16792]) ).
fof(f18063,plain,
( s(fun(cart(real,sK134),bool),univ) = s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),span),s(fun(cart(real,sK134),bool),sK135)))
| ~ spl3139_151 ),
inference(forward_subsumption_resolution,[],[f18061,f11056]) ).
fof(f18066,plain,
( $false
| ~ spl3139_151
| spl3139_152 ),
inference(forward_subsumption_resolution,[],[f18063,f16795]) ).
fof(f18067,plain,
( ~ spl3139_151
| spl3139_152 ),
inference(avatar_contradiction_clause,[],[f18066]) ).
fof(f18071,plain,
( s(num,i(s(fun(fun(cart(real,sK134),bool),num),dim),s(fun(cart(real,sK134),bool),sK135))) = s(num,i(s(fun(fun(cart(real,sK134),bool),num),dim),s(fun(cart(real,sK134),bool),univ)))
| ~ spl3139_152 ),
inference(superposition,[],[f9719,f16796]) ).
fof(f18115,plain,
( s(num,i(s(fun(fun(sK134,bool),num),dimindex),s(fun(sK134,bool),univ))) = s(num,i(s(fun(fun(cart(real,sK134),bool),num),dim),s(fun(cart(real,sK134),bool),sK135)))
| ~ spl3139_152 ),
inference(forward_demodulation,[],[f18071,f9651]) ).
fof(f18123,plain,
( $false
| spl3139_151
| ~ spl3139_152 ),
inference(forward_subsumption_resolution,[],[f18115,f16791]) ).
fof(f18124,plain,
( spl3139_151
| ~ spl3139_152 ),
inference(avatar_contradiction_clause,[],[f18123]) ).
cnf(s128,plain,
( spl3139_151
| spl3139_152 ),
inference(sat_conversion,[],[f16797]) ).
cnf(s129,plain,
( ~ spl3139_151
| ~ spl3139_152 ),
inference(sat_conversion,[],[f16798]) ).
cnf(s170,plain,
( ~ spl3139_151
| spl3139_152 ),
inference(sat_conversion,[],[f18067]) ).
cnf(s173,plain,
( spl3139_151
| ~ spl3139_152 ),
inference(sat_conversion,[],[f18124]) ).
cnf(s179,plain,
spl3139_151,
inference(rat,[],[s128,s173]) ).
cnf(s180,plain,
spl3139_152,
inference(rat,[],[s170,s179]) ).
cnf(s181,plain,
$false,
inference(rat,[],[s129,s180,s179]) ).
fof(f18133,plain,
$false,
inference(avatar_sat_refutation,[],[s181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO473+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n005.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 08:19:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.31/3.30 % (3675718)Detected formulas, will run a generic FOF schedule.
% 11.31/3.30 % (3675726)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2449825964:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 11.31/3.30 % (3675724)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=3388793449:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 11.31/3.30 % (3675726)Instruction limit reached!
% 11.31/3.30 % (3675726)------------------------------
% 11.31/3.30 % (3675726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/3.30 % (3675726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/3.30 % (3675726)CaDiCaL version: 2.1.3
% 11.31/3.30 % (3675726)Termination reason: Instruction limit
% 11.31/3.30 % (3675726)Termination phase: Blocked clause elimination
% 11.31/3.30 % (3675726)Time elapsed: 0.032 s
% 11.31/3.30 % (3675726)Peak memory usage: 92 MB
% 11.31/3.30 % (3675726)Instructions burned: 112 (million)
% 11.31/3.30 % (3675723)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=2050917831:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 11.31/3.30 % (3675727)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1641275578:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 11.31/3.30 % (3675725)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=3434705310:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 11.31/3.30 % (3675729)dis-21_1_sil=8000:lcm=predicate:random_seed=77758626:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 11.31/3.30 % (3675728)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3890818404:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 11.31/3.30 % (3675728)Instruction limit reached!
% 11.31/3.30 % (3675728)------------------------------
% 11.31/3.30 % (3675728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/3.30 % (3675728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/3.30 % (3675728)CaDiCaL version: 2.1.3
% 11.31/3.30 % (3675728)Termination reason: Instruction limit
% 11.31/3.30 % (3675728)Termination phase: Property scanning
% 11.31/3.30 % (3675728)Time elapsed: 0.049 s
% 11.31/3.30 % (3675728)Peak memory usage: 90 MB
% 11.31/3.30 % (3675728)Instructions burned: 141 (million)
% 11.31/3.30 % (3675727)Instruction limit reached!
% 11.31/3.30 % (3675727)------------------------------
% 11.31/3.30 % (3675727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/3.30 % (3675727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/3.30 % (3675727)CaDiCaL version: 2.1.3
% 11.31/3.30 % (3675727)Termination reason: Instruction limit
% 11.31/3.30 % (3675727)Termination phase: Preprocessing 1
% 11.31/3.30 % (3675727)Time elapsed: 0.065 s
% 11.31/3.30 % (3675727)Peak memory usage: 91 MB
% 11.31/3.30 % (3675727)Instructions burned: 120 (million)
% 11.31/3.30 % (3675729)Instruction limit reached!
% 11.31/3.30 % (3675729)------------------------------
% 11.31/3.30 % (3675729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/3.30 % (3675729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/3.30 % (3675729)CaDiCaL version: 2.1.3
% 11.31/3.30 % (3675729)Termination reason: Instruction limit
% 11.31/3.30 % (3675729)Termination phase: SInE selection
% 11.31/3.30 % (3675729)Time elapsed: 0.063 s
% 11.31/3.30 % (3675729)Peak memory usage: 90 MB
% 11.31/3.30 % (3675729)Instructions burned: 129 (million)
% 11.31/3.30 % (3675732)lrs+10_1_sil=8000:sp=occurrence:random_seed=520351287:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 11.31/3.30 % (3675732)Instruction limit reached!
% 11.31/3.30 % (3675732)------------------------------
% 11.31/3.30 % (3675732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.31/3.30 % (3675732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/3.30 % (3675732)CaDiCaL version: 2.1.3
% 11.31/3.30 % (3675732)Termination reason: Instruction limit
% 11.31/3.30 % (3675732)Termination phase: Property scanning
% 11.31/3.30 % (3675732)Time elapsed: 0.080 s
% 11.31/3.30 % (3675732)Peak memory usage: 96 MB
% 11.31/3.30 % (3675732)Instructions burned: 288 (million)
% 17.20/4.18 % (3675739)lrs+1011_1_sil=32000:sp=occurrence:random_seed=899665259:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 17.20/4.18 % (3675738)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4261004615:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 17.20/4.18 % (3675741)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=1834183198:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 17.20/4.18 % (3675738)Instruction limit reached!
% 17.20/4.18 % (3675738)------------------------------
% 17.20/4.18 % (3675738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/4.18 % (3675738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/4.18 % (3675738)CaDiCaL version: 2.1.3
% 17.20/4.18 % (3675738)Termination reason: Instruction limit
% 17.20/4.18 % (3675738)Termination phase: Property scanning
% 17.20/4.18 % (3675738)Time elapsed: 0.055 s
% 17.20/4.18 % (3675738)Peak memory usage: 90 MB
% 17.20/4.18 % (3675738)Instructions burned: 158 (million)
% 17.20/4.18 % (3675742)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1549679496:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 17.20/4.18 % (3675741)Instruction limit reached!
% 17.20/4.18 % (3675741)------------------------------
% 17.20/4.18 % (3675741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/4.18 % (3675741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/4.18 % (3675741)CaDiCaL version: 2.1.3
% 17.20/4.18 % (3675741)Termination reason: Instruction limit
% 17.20/4.18 % (3675741)Termination phase: Property scanning
% 17.20/4.18 % (3675741)Time elapsed: 0.086 s
% 17.20/4.18 % (3675741)Peak memory usage: 90 MB
% 17.20/4.18 % (3675741)Instructions burned: 250 (million)
% 17.20/4.18 % (3675742)Instruction limit reached!
% 17.20/4.18 % (3675742)------------------------------
% 17.20/4.18 % (3675742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/4.18 % (3675742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/4.18 % (3675742)CaDiCaL version: 2.1.3
% 17.20/4.18 % (3675742)Termination reason: Instruction limit
% 17.20/4.18 % (3675742)Termination phase: Preprocessing 3
% 17.20/4.18 % (3675742)Time elapsed: 0.084 s
% 17.20/4.18 % (3675742)Peak memory usage: 95 MB
% 17.20/4.18 % (3675742)Instructions burned: 296 (million)
% 17.20/4.18 % (3675746)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1855830745:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 17.20/4.18 % (3675739)Instruction limit reached!
% 17.20/4.18 % (3675739)------------------------------
% 17.20/4.18 % (3675739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/4.18 % (3675739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/4.18 % (3675739)CaDiCaL version: 2.1.3
% 17.20/4.18 % (3675739)Termination reason: Instruction limit
% 17.20/4.18 % (3675739)Termination phase: Saturation
% 17.20/4.18 % (3675739)Time elapsed: 0.180 s
% 17.20/4.18 % (3675739)Peak memory usage: 96 MB
% 17.20/4.18 % (3675739)Instructions burned: 327 (million)
% 17.20/4.18 % (3675749)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1572946412:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 17.20/4.18 % (3675748)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3435061888:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 17.20/4.18 % (3675749)Instruction limit reached!
% 17.20/4.18 % (3675749)------------------------------
% 17.20/4.18 % (3675749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/4.18 % (3675749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/4.18 % (3675749)CaDiCaL version: 2.1.3
% 17.20/4.18 % (3675749)Termination reason: Instruction limit
% 17.20/4.18 % (3675749)Termination phase: Naming
% 17.20/4.18 % (3675749)Time elapsed: 0.039 s
% 17.20/4.18 % (3675749)Peak memory usage: 94 MB
% 17.20/4.18 % (3675749)Instructions burned: 129 (million)
% 17.20/4.18 % (3675748)Instruction limit reached!
% 17.20/4.18 % (3675748)------------------------------
% 17.20/4.18 % (3675748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/4.18 % (3675748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/4.18 % (3675748)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675748)Termination reason: Instruction limit
% 32.43/6.37 % (3675748)Termination phase: Preprocessing 1
% 32.43/6.37 % (3675748)Time elapsed: 0.062 s
% 32.43/6.37 % (3675748)Peak memory usage: 91 MB
% 32.43/6.37 % (3675748)Instructions burned: 114 (million)
% 32.43/6.37 % (3675751)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=372961638:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 32.43/6.37 % (3675754)lrs+10_1_sil=8000:sp=occurrence:random_seed=1558997446:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 32.43/6.37 % (3675751)Instruction limit reached!
% 32.43/6.37 % (3675751)------------------------------
% 32.43/6.37 % (3675751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675751)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675751)Termination reason: Instruction limit
% 32.43/6.37 % (3675751)Termination phase: Property scanning
% 32.43/6.37 % (3675751)Time elapsed: 0.041 s
% 32.43/6.37 % (3675751)Peak memory usage: 90 MB
% 32.43/6.37 % (3675751)Instructions burned: 116 (million)
% 32.43/6.37 % (3675755)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=63732799:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 32.43/6.37 % (3675758)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1622501962:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 32.43/6.37 % (3675754)Instruction limit reached!
% 32.43/6.37 % (3675754)------------------------------
% 32.43/6.37 % (3675754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675754)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675754)Termination reason: Instruction limit
% 32.43/6.37 % (3675754)Termination phase: Property scanning
% 32.43/6.37 % (3675754)Time elapsed: 0.212 s
% 32.43/6.37 % (3675754)Peak memory usage: 100 MB
% 32.43/6.37 % (3675754)Instructions burned: 912 (million)
% 32.43/6.37 % (3675755)Instruction limit reached!
% 32.43/6.37 % (3675755)------------------------------
% 32.43/6.37 % (3675755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675755)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675755)Termination reason: Instruction limit
% 32.43/6.37 % (3675755)Termination phase: Property scanning
% 32.43/6.37 % (3675755)Time elapsed: 0.218 s
% 32.43/6.37 % (3675755)Peak memory usage: 100 MB
% 32.43/6.37 % (3675755)Instructions burned: 440 (million)
% 32.43/6.37 % (3675761)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=918248177:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 32.43/6.37 % (3675761)Instruction limit reached!
% 32.43/6.37 % (3675761)------------------------------
% 32.43/6.37 % (3675761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675761)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675761)Termination reason: Instruction limit
% 32.43/6.37 % (3675761)Termination phase: Preprocessing 1
% 32.43/6.37 % (3675761)Time elapsed: 0.041 s
% 32.43/6.37 % (3675761)Peak memory usage: 91 MB
% 32.43/6.37 % (3675761)Instructions burned: 135 (million)
% 32.43/6.37 % (3675762)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1953342651:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 32.43/6.37 % (3675764)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1400978131:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 32.43/6.37 % (3675762)Instruction limit reached!
% 32.43/6.37 % (3675762)------------------------------
% 32.43/6.37 % (3675762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675762)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675762)Termination reason: Instruction limit
% 32.43/6.37 % (3675762)Termination phase: Preprocessing 3
% 32.43/6.37 % (3675762)Time elapsed: 0.284 s
% 32.43/6.37 % (3675762)Peak memory usage: 101 MB
% 32.43/6.37 % (3675762)Instructions burned: 594 (million)
% 32.43/6.37 % (3675746)Instruction limit reached!
% 32.43/6.37 % (3675746)------------------------------
% 32.43/6.37 % (3675746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675746)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675746)Termination reason: Instruction limit
% 32.43/6.37 % (3675746)Termination phase: Twee Goal Transformation
% 32.43/6.37 % (3675746)Time elapsed: 0.884 s
% 32.43/6.37 % (3675746)Peak memory usage: 106 MB
% 32.43/6.37 % (3675746)Instructions burned: 2352 (million)
% 32.43/6.37 % (3675767)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=1505890127:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 32.43/6.37 % (3675768)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=99906103:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 32.43/6.37 % (3675767)Instruction limit reached!
% 32.43/6.37 % (3675767)------------------------------
% 32.43/6.37 % (3675767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675767)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675767)Termination reason: Instruction limit
% 32.43/6.37 % (3675767)Termination phase: Property scanning
% 32.43/6.37 % (3675767)Time elapsed: 0.043 s
% 32.43/6.37 % (3675767)Peak memory usage: 90 MB
% 32.43/6.37 % (3675767)Instructions burned: 125 (million)
% 32.43/6.37 % (3675768)Instruction limit reached!
% 32.43/6.37 % (3675768)------------------------------
% 32.43/6.37 % (3675768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675768)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675768)Termination reason: Instruction limit
% 32.43/6.37 % (3675768)Termination phase: Property scanning
% 32.43/6.37 % (3675768)Time elapsed: 0.047 s
% 32.43/6.37 % (3675768)Peak memory usage: 90 MB
% 32.43/6.37 % (3675768)Instructions burned: 137 (million)
% 32.43/6.37 % (3675771)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2324995915:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 32.43/6.37 % (3675772)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=983404320:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 32.43/6.37 % (3675771)Refutation not found, incomplete strategy
% 32.43/6.37 % (3675771)------------------------------
% 32.43/6.37 % (3675771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675771)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675771)Termination reason: Refutation not found, incomplete strategy
% 32.43/6.37 % (3675771)Time elapsed: 0.060 s
% 32.43/6.37 % (3675771)Peak memory usage: 94 MB
% 32.43/6.37 % (3675771)Instructions burned: 114 (million)
% 32.43/6.37 % (3675772)Refutation not found, incomplete strategy
% 32.43/6.37 % (3675772)------------------------------
% 32.43/6.37 % (3675772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675772)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675772)Termination reason: Refutation not found, incomplete strategy
% 32.43/6.37 % (3675772)Time elapsed: 0.062 s
% 32.43/6.37 % (3675772)Peak memory usage: 95 MB
% 32.43/6.37 % (3675772)Instructions burned: 117 (million)
% 32.43/6.37 % (3675771)------------------------------
% 32.43/6.37 % (3675771)------------------------------
% 32.43/6.37 % (3675772)------------------------------
% 32.43/6.37 % (3675772)------------------------------
% 32.43/6.37 % (3675775)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3190415918:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 32.43/6.37 % (3675776)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1121372880:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2968 on theBenchmark for (2968ds/150Mi)
% 32.43/6.37 % (3675776)Instruction limit reached!
% 32.43/6.37 % (3675776)------------------------------
% 32.43/6.37 % (3675776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675776)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675776)Termination reason: Instruction limit
% 32.43/6.37 % (3675776)Termination phase: Preprocessing 1
% 32.43/6.37 % (3675776)Time elapsed: 0.087 s
% 32.43/6.37 % (3675776)Peak memory usage: 91 MB
% 32.43/6.37 % (3675776)Instructions burned: 150 (million)
% 32.43/6.37 % (3675779)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=313331515:i=14155:bd=all_2966 on theBenchmark for (2966ds/14155Mi)
% 32.43/6.37 % (3675758)Instruction limit reached!
% 32.43/6.37 % (3675758)------------------------------
% 32.43/6.37 % (3675758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675758)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675758)Termination reason: Instruction limit
% 32.43/6.37 % (3675758)Termination phase: Saturation
% 32.43/6.37 % (3675758)Time elapsed: 2.891 s
% 32.43/6.37 % (3675758)Peak memory usage: 227 MB
% 32.43/6.37 % (3675758)Instructions burned: 5203 (million)
% 32.43/6.37 % (3675781)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1703293955:i=667:av=off:fsr=off_2951 on theBenchmark for (2951ds/667Mi)
% 32.43/6.37 % (3675781)Instruction limit reached!
% 32.43/6.37 % (3675781)------------------------------
% 32.43/6.37 % (3675781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.43/6.37 % (3675781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.43/6.37 % (3675781)CaDiCaL version: 2.1.3
% 32.43/6.37 % (3675781)Termination reason: Instruction limit
% 32.43/6.37 % (3675781)Termination phase: Property scanning
% 32.43/6.37 % (3675781)Time elapsed: 0.337 s
% 32.43/6.37 % (3675781)Peak memory usage: 103 MB
% 32.43/6.37 % (3675781)Instructions burned: 670 (million)
% 32.43/6.37 % (3675764)First to succeed.
% 32.43/6.37 % (3675764)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3675718"
% 32.43/6.37 % (3675783)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2034347130:s2a=on:i=185:s2at=1.8:fdi=4_2947 on theBenchmark for (2947ds/185Mi)
% 32.43/6.37 % (3675764)Refutation found. Thanks to Tanya!
% 32.43/6.37 % SZS status Theorem for theBenchmark
% 32.43/6.37 % SZS output start Proof for theBenchmark
% See solution above
% 33.11/6.55 % (3675764)------------------------------
% 33.11/6.55 % (3675764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.11/6.55 % (3675764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.11/6.55 % (3675764)CaDiCaL version: 2.1.3
% 33.11/6.55 % (3675764)Termination reason: Refutation
% 33.11/6.55 % (3675764)Time elapsed: 3.132 s
% 33.11/6.55 % (3675764)Peak memory usage: 249 MB
% 33.11/6.55 % (3675764)Instructions burned: 10110 (million)
% 33.11/6.55 % (3675764)------------------------------
% 33.11/6.55 % (3675764)------------------------------
% 33.11/6.55 % (3675718)Success in time 5.532 s
% 33.11/6.55 % Vampire exiting
%------------------------------------------------------------------------------