%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO469+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 36.57s 14.06s
% Output : Refutation 84.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 11 unt; 2 def)
% Number of atoms : 109 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 103 ( 48 ~; 43 |; 4 &)
% ( 6 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 50 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,axiom,
! [X0] : s(num,i(s(fun(num,num),numeral),s(num,X0))) = s(num,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNUMERAL) ).
fof(f1650,axiom,
! [X0,X1,X2] : s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X1))) = s(bool,i(s(fun(X0,bool),X1),s(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aIN) ).
fof(f1757,axiom,
! [X0,X1,X2] : p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X1))),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(X0,fun(fun(X0,bool),fun(X0,bool))),insert),s(X0,X1))),s(fun(X0,bool),X2)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aCOMPONENT) ).
fof(f3297,axiom,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X1))))
<=> ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),dependent),s(fun(cart(real,X0),bool),X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aindependent) ).
fof(f3323,axiom,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X1))))
=> ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aINDEPENDENTu_NONZERO) ).
fof(f3379,axiom,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),insert),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),empty))))))
<=> s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aINDEPENDENTu_SING) ).
fof(f3380,conjecture,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),dependent),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),insert),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),empty))))))
<=> s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aDEPENDENTu_SING) ).
fof(f3381,negated_conjecture,
~ ! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),dependent),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),insert),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),empty))))))
<=> s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(negated_conjecture,[status(cth)],[f3380]) ).
fof(f3898,plain,
? [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),dependent),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),insert),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),empty))))))
<~> s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(ennf_transformation,[],[f3381]) ).
fof(f5089,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X1)))) ),
inference(ennf_transformation,[],[f3323]) ).
fof(f5972,plain,
? [X0,X1] :
( ( s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),dependent),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),insert),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),empty)))))) )
& ( s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),dependent),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),insert),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),empty)))))) ) ),
inference(nnf_transformation,[],[f3898]) ).
fof(f5973,plain,
( ( s(cart(real,sK134),sK135) != s(cart(real,sK134),i(s(fun(num,cart(real,sK134)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK134),bool),bool),dependent),s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),i(s(fun(cart(real,sK134),fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool))),insert),s(cart(real,sK134),sK135))),s(fun(cart(real,sK134),bool),empty)))))) )
& ( s(cart(real,sK134),sK135) = s(cart(real,sK134),i(s(fun(num,cart(real,sK134)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| p(s(bool,i(s(fun(fun(cart(real,sK134),bool),bool),dependent),s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),i(s(fun(cart(real,sK134),fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool))),insert),s(cart(real,sK134),sK135))),s(fun(cart(real,sK134),bool),empty)))))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK134,sK135]),skolemize(X0,sK134),skolemize(X1,sK135)],[f5972]) ).
fof(f6420,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X1))))
| p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),dependent),s(fun(cart(real,X0),bool),X1)))) )
& ( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),dependent),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X1)))) ) ),
inference(nnf_transformation,[],[f3297]) ).
fof(f7999,plain,
! [X0,X1] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),insert),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),empty))))))
| s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )
& ( s(cart(real,X0),X1) != s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),insert),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),empty)))))) ) ),
inference(nnf_transformation,[],[f3379]) ).
fof(f8953,plain,
( s(cart(real,sK134),sK135) = s(cart(real,sK134),i(s(fun(num,cart(real,sK134)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| p(s(bool,i(s(fun(fun(cart(real,sK134),bool),bool),dependent),s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),i(s(fun(cart(real,sK134),fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool))),insert),s(cart(real,sK134),sK135))),s(fun(cart(real,sK134),bool),empty)))))) ),
inference(cnf_transformation,[],[f5973]) ).
fof(f8954,plain,
( s(cart(real,sK134),sK135) != s(cart(real,sK134),i(s(fun(num,cart(real,sK134)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK134),bool),bool),dependent),s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),i(s(fun(cart(real,sK134),fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool))),insert),s(cart(real,sK134),sK135))),s(fun(cart(real,sK134),bool),empty)))))) ),
inference(cnf_transformation,[],[f5973]) ).
fof(f9012,plain,
! [X0] : s(num,X0) = s(num,i(s(fun(num,num),numeral),s(num,X0))),
inference(cnf_transformation,[],[f200]) ).
fof(f9491,plain,
! [X2,X0,X1] : p(s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X1))),s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(X0,fun(fun(X0,bool),fun(X0,bool))),insert),s(X0,X1))),s(fun(X0,bool),X2)))))),
inference(cnf_transformation,[],[f1757]) ).
fof(f9647,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),dependent),s(fun(cart(real,X0),bool),X1)))) ),
inference(cnf_transformation,[],[f6420]) ).
fof(f9648,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),dependent),s(fun(cart(real,X0),bool),X1))))
| p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X1)))) ),
inference(cnf_transformation,[],[f6420]) ).
fof(f10887,plain,
! [X2,X0,X1] : s(bool,i(s(fun(X0,bool),X1),s(X0,X2))) = s(bool,i(s(fun(fun(X0,bool),bool),i(s(fun(X0,fun(fun(X0,bool),bool)),in),s(X0,X2))),s(fun(X0,bool),X1))),
inference(cnf_transformation,[],[f1650]) ).
fof(f12751,plain,
! [X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),insert),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),empty))))))
| s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(cnf_transformation,[],[f7999]) ).
fof(f12777,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X1)))) ),
inference(cnf_transformation,[],[f5089]) ).
fof(f16539,plain,
! [X2,X0,X1] : p(s(bool,i(s(fun(X0,bool),i(s(fun(fun(X0,bool),fun(X0,bool)),i(s(fun(X0,fun(fun(X0,bool),fun(X0,bool))),insert),s(X0,X1))),s(fun(X0,bool),X2))),s(X0,X1)))),
inference(forward_demodulation,[],[f9491,f10887]) ).
fof(f16707,plain,
( s(cart(real,sK134),sK135) = s(cart(real,sK134),i(s(fun(num,cart(real,sK134)),vec),s(num,u_0)))
| p(s(bool,i(s(fun(fun(cart(real,sK134),bool),bool),dependent),s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),i(s(fun(cart(real,sK134),fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool))),insert),s(cart(real,sK134),sK135))),s(fun(cart(real,sK134),bool),empty)))))) ),
inference(forward_demodulation,[],[f8953,f9012]) ).
fof(f16708,plain,
( s(cart(real,sK134),sK135) != s(cart(real,sK134),i(s(fun(num,cart(real,sK134)),vec),s(num,u_0)))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK134),bool),bool),dependent),s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),i(s(fun(cart(real,sK134),fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool))),insert),s(cart(real,sK134),sK135))),s(fun(cart(real,sK134),bool),empty)))))) ),
inference(forward_demodulation,[],[f8954,f9012]) ).
fof(f17377,definition,
( spl3081_162
<=> p(s(bool,i(s(fun(fun(cart(real,sK134),bool),bool),dependent),s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),i(s(fun(cart(real,sK134),fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool))),insert),s(cart(real,sK134),sK135))),s(fun(cart(real,sK134),bool),empty)))))) ),
introduced(definition,[new_symbols(definition,[spl3081_162])],[avatar_definition]) ).
fof(f17378,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK134),bool),bool),dependent),s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),i(s(fun(cart(real,sK134),fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool))),insert),s(cart(real,sK134),sK135))),s(fun(cart(real,sK134),bool),empty))))))
| spl3081_162 ),
inference(avatar_component_clause,[],[f17377]) ).
fof(f17379,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK134),bool),bool),dependent),s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),i(s(fun(cart(real,sK134),fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool))),insert),s(cart(real,sK134),sK135))),s(fun(cart(real,sK134),bool),empty))))))
| ~ spl3081_162 ),
inference(avatar_component_clause,[],[f17377]) ).
fof(f17381,definition,
( spl3081_163
<=> s(cart(real,sK134),sK135) = s(cart(real,sK134),i(s(fun(num,cart(real,sK134)),vec),s(num,u_0))) ),
introduced(definition,[new_symbols(definition,[spl3081_163])],[avatar_definition]) ).
fof(f17382,plain,
( s(cart(real,sK134),sK135) != s(cart(real,sK134),i(s(fun(num,cart(real,sK134)),vec),s(num,u_0)))
| spl3081_163 ),
inference(avatar_component_clause,[],[f17381]) ).
fof(f17383,plain,
( s(cart(real,sK134),sK135) = s(cart(real,sK134),i(s(fun(num,cart(real,sK134)),vec),s(num,u_0)))
| ~ spl3081_163 ),
inference(avatar_component_clause,[],[f17381]) ).
fof(f17384,plain,
( spl3081_162
| spl3081_163 ),
inference(avatar_split_clause,[],[f16707,f17381,f17377]) ).
fof(f17385,plain,
( ~ spl3081_162
| ~ spl3081_163 ),
inference(avatar_split_clause,[],[f16708,f17381,f17377]) ).
fof(f17937,plain,
! [X0,X1] :
( s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),dependent),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),insert),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),empty)))))) ),
inference(resolution,[],[f12751,f9647]) ).
fof(f17938,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),dependent),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool))),insert),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),empty))))))
| s(cart(real,X0),X1) = s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))) ),
inference(forward_demodulation,[],[f17937,f9012]) ).
fof(f17939,plain,
( s(cart(real,sK134),sK135) = s(cart(real,sK134),i(s(fun(num,cart(real,sK134)),vec),s(num,u_0)))
| ~ spl3081_162 ),
inference(resolution,[],[f17938,f17379]) ).
fof(f17940,plain,
( $false
| ~ spl3081_162
| spl3081_163 ),
inference(forward_subsumption_resolution,[],[f17939,f17382]) ).
fof(f17941,plain,
( ~ spl3081_162
| spl3081_163 ),
inference(avatar_contradiction_clause,[],[f17940]) ).
fof(f17949,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK134),bool),bool),independent),s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),i(s(fun(cart(real,sK134),fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool))),insert),s(cart(real,sK134),sK135))),s(fun(cart(real,sK134),bool),empty))))))
| spl3081_162 ),
inference(resolution,[],[f9648,f17378]) ).
fof(f18022,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))),s(fun(cart(real,X0),bool),X1))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X1)))) ),
inference(superposition,[],[f12777,f9012]) ).
fof(f18027,plain,
! [X0,X1] :
( ~ p(s(bool,i(s(fun(cart(real,X0),bool),X1),s(cart(real,X0),i(s(fun(num,cart(real,X0)),vec),s(num,u_0))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),independent),s(fun(cart(real,X0),bool),X1)))) ),
inference(forward_demodulation,[],[f18022,f10887]) ).
fof(f18093,plain,
( ! [X0] :
( ~ p(s(bool,i(s(fun(fun(cart(real,sK134),bool),bool),independent),s(fun(cart(real,sK134),bool),X0))))
| ~ p(s(bool,i(s(fun(cart(real,sK134),bool),X0),s(cart(real,sK134),sK135)))) )
| ~ spl3081_163 ),
inference(superposition,[],[f18027,f17383]) ).
fof(f18095,plain,
( ~ p(s(bool,i(s(fun(cart(real,sK134),bool),i(s(fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool)),i(s(fun(cart(real,sK134),fun(fun(cart(real,sK134),bool),fun(cart(real,sK134),bool))),insert),s(cart(real,sK134),sK135))),s(fun(cart(real,sK134),bool),empty))),s(cart(real,sK134),sK135))))
| spl3081_162
| ~ spl3081_163 ),
inference(resolution,[],[f18093,f17949]) ).
fof(f18101,plain,
( $false
| spl3081_162
| ~ spl3081_163 ),
inference(forward_subsumption_resolution,[],[f18095,f16539]) ).
fof(f18102,plain,
( spl3081_162
| ~ spl3081_163 ),
inference(avatar_contradiction_clause,[],[f18101]) ).
cnf(s144,plain,
( spl3081_162
| spl3081_163 ),
inference(sat_conversion,[],[f17384]) ).
cnf(s145,plain,
( ~ spl3081_162
| ~ spl3081_163 ),
inference(sat_conversion,[],[f17385]) ).
cnf(s199,plain,
( ~ spl3081_162
| spl3081_163 ),
inference(sat_conversion,[],[f17941]) ).
cnf(s201,plain,
( spl3081_162
| ~ spl3081_163 ),
inference(sat_conversion,[],[f18102]) ).
cnf(s217,plain,
spl3081_162,
inference(rat,[],[s144,s201]) ).
cnf(s218,plain,
spl3081_163,
inference(rat,[],[s199,s217]) ).
cnf(s220,plain,
$false,
inference(rat,[],[s145,s218,s217]) ).
fof(f18104,plain,
$false,
inference(avatar_sat_refutation,[],[s220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO469+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n006.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 08:20:10 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.26/4.78 % (2680560)Detected formulas, will run a generic FOF schedule.
% 17.26/4.78 % (2680566)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=3157871035:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2986 on theBenchmark for (2986ds/134677Mi)
% 17.26/4.78 % (2680565)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=1153601173:i=141193_2986 on theBenchmark for (2986ds/141193Mi)
% 17.26/4.78 % (2680571)dis-21_1_sil=8000:lcm=predicate:random_seed=587427059:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2986 on theBenchmark for (2986ds/129Mi)
% 17.26/4.78 % (2680570)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=516563017:s2a=on:i=139:gtg=position_2986 on theBenchmark for (2986ds/139Mi)
% 17.26/4.78 % (2680568)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3379094596:i=109:sd=1:ins=1:gsp=on:ss=axioms_2986 on theBenchmark for (2986ds/109Mi)
% 17.26/4.78 % (2680569)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1853352393:i=119:av=off:ss=axioms_2986 on theBenchmark for (2986ds/119Mi)
% 17.26/4.78 % (2680567)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=756399765:i=141695:sd=1:nm=32:gsp=on:ss=included_2986 on theBenchmark for (2986ds/141695Mi)
% 17.26/4.78 % (2680568)Instruction limit reached!
% 17.26/4.78 % (2680568)------------------------------
% 17.26/4.78 % (2680568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.26/4.78 % (2680568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.26/4.78 % (2680568)CaDiCaL version: 2.1.3
% 17.26/4.78 % (2680568)Termination reason: Instruction limit
% 17.26/4.78 % (2680568)Termination phase: Property scanning
% 17.26/4.78 % (2680568)Time elapsed: 0.092 s
% 17.26/4.78 % (2680568)Peak memory usage: 92 MB
% 17.26/4.78 % (2680568)Instructions burned: 109 (million)
% 17.26/4.78 % (2680571)Instruction limit reached!
% 17.26/4.78 % (2680571)------------------------------
% 17.26/4.78 % (2680571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.26/4.78 % (2680571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.26/4.78 % (2680571)CaDiCaL version: 2.1.3
% 17.26/4.78 % (2680571)Termination reason: Instruction limit
% 17.26/4.78 % (2680571)Termination phase: SInE selection
% 17.26/4.78 % (2680571)Time elapsed: 0.099 s
% 17.26/4.78 % (2680571)Peak memory usage: 90 MB
% 17.26/4.78 % (2680571)Instructions burned: 129 (million)
% 17.26/4.78 % (2680570)Instruction limit reached!
% 17.26/4.78 % (2680570)------------------------------
% 17.26/4.78 % (2680570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.26/4.78 % (2680570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.26/4.78 % (2680570)CaDiCaL version: 2.1.3
% 17.26/4.78 % (2680570)Termination reason: Instruction limit
% 17.26/4.78 % (2680570)Termination phase: Property scanning
% 17.26/4.78 % (2680570)Time elapsed: 0.103 s
% 17.26/4.78 % (2680570)Peak memory usage: 90 MB
% 17.26/4.78 % (2680570)Instructions burned: 140 (million)
% 17.26/4.78 % (2680569)Instruction limit reached!
% 17.26/4.78 % (2680569)------------------------------
% 17.26/4.78 % (2680569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.26/4.78 % (2680569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.26/4.78 % (2680569)CaDiCaL version: 2.1.3
% 17.26/4.78 % (2680569)Termination reason: Instruction limit
% 17.26/4.78 % (2680569)Termination phase: Preprocessing 1
% 17.26/4.78 % (2680569)Time elapsed: 0.105 s
% 17.26/4.78 % (2680569)Peak memory usage: 91 MB
% 17.26/4.78 % (2680569)Instructions burned: 123 (million)
% 17.26/4.78 % (2680579)lrs+10_1_sil=8000:sp=occurrence:random_seed=3117748324:i=285:sd=3:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/285Mi)
% 17.26/4.78 % (2680580)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3638255264:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/157Mi)
% 17.26/4.78 % (2680582)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=77558122:s2a=on:i=248:s2at=1.23:gtg=position_2982 on theBenchmark for (2982ds/248Mi)
% 17.26/4.78 % (2680581)lrs+1011_1_sil=32000:sp=occurrence:random_seed=20884771:i=325:sd=1:ss=axioms:sgt=32_2982 on theBenchmark for (2982ds/325Mi)
% 17.26/4.78 % (2680580)Instruction limit reached!
% 27.63/6.07 % (2680580)------------------------------
% 27.63/6.07 % (2680580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.63/6.07 % (2680580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/6.07 % (2680580)CaDiCaL version: 2.1.3
% 27.63/6.07 % (2680580)Termination reason: Instruction limit
% 27.63/6.07 % (2680580)Termination phase: Property scanning
% 27.63/6.07 % (2680580)Time elapsed: 0.118 s
% 27.63/6.07 % (2680580)Peak memory usage: 90 MB
% 27.63/6.07 % (2680580)Instructions burned: 158 (million)
% 27.63/6.07 % (2680579)Instruction limit reached!
% 27.63/6.07 % (2680579)------------------------------
% 27.63/6.07 % (2680579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.63/6.07 % (2680579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/6.07 % (2680579)CaDiCaL version: 2.1.3
% 27.63/6.07 % (2680579)Termination reason: Instruction limit
% 27.63/6.07 % (2680579)Termination phase: Property scanning
% 27.63/6.07 % (2680579)Time elapsed: 0.129 s
% 27.63/6.07 % (2680579)Peak memory usage: 96 MB
% 27.63/6.07 % (2680579)Instructions burned: 285 (million)
% 27.63/6.07 % (2680582)Instruction limit reached!
% 27.63/6.07 % (2680582)------------------------------
% 27.63/6.07 % (2680582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.63/6.07 % (2680582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/6.07 % (2680582)CaDiCaL version: 2.1.3
% 27.63/6.07 % (2680582)Termination reason: Instruction limit
% 27.63/6.07 % (2680582)Termination phase: Property scanning
% 27.63/6.07 % (2680582)Time elapsed: 0.184 s
% 27.63/6.07 % (2680582)Peak memory usage: 90 MB
% 27.63/6.07 % (2680582)Instructions burned: 248 (million)
% 27.63/6.07 % (2680588)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2559364381:i=2350_2979 on theBenchmark for (2979ds/2350Mi)
% 27.63/6.07 % (2680587)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1451765899:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2979 on theBenchmark for (2979ds/294Mi)
% 27.63/6.07 % (2680581)Instruction limit reached!
% 27.63/6.07 % (2680581)------------------------------
% 27.63/6.07 % (2680581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.63/6.07 % (2680581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/6.07 % (2680581)CaDiCaL version: 2.1.3
% 27.63/6.07 % (2680581)Termination reason: Instruction limit
% 27.63/6.07 % (2680581)Termination phase: Saturation
% 27.63/6.07 % (2680581)Time elapsed: 0.297 s
% 27.63/6.07 % (2680581)Peak memory usage: 97 MB
% 27.63/6.07 % (2680581)Instructions burned: 325 (million)
% 27.63/6.07 % (2680589)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1106659503:cts=off:i=113:fsr=off:ss=included:sgt=4_2978 on theBenchmark for (2978ds/113Mi)
% 27.63/6.07 % (2680587)Instruction limit reached!
% 27.63/6.07 % (2680587)------------------------------
% 27.63/6.07 % (2680587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.63/6.07 % (2680587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/6.07 % (2680587)CaDiCaL version: 2.1.3
% 27.63/6.07 % (2680587)Termination reason: Instruction limit
% 27.63/6.07 % (2680587)Termination phase: Preprocessing 3
% 27.63/6.07 % (2680587)Time elapsed: 0.248 s
% 27.63/6.07 % (2680587)Peak memory usage: 95 MB
% 27.63/6.07 % (2680587)Instructions burned: 294 (million)
% 27.63/6.07 % (2680589)Instruction limit reached!
% 27.63/6.07 % (2680589)------------------------------
% 27.63/6.07 % (2680589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.63/6.07 % (2680589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/6.07 % (2680589)CaDiCaL version: 2.1.3
% 27.63/6.07 % (2680589)Termination reason: Instruction limit
% 27.63/6.07 % (2680589)Termination phase: Preprocessing 1
% 27.63/6.07 % (2680589)Time elapsed: 0.100 s
% 27.63/6.07 % (2680589)Peak memory usage: 91 MB
% 27.63/6.07 % (2680589)Instructions burned: 113 (million)
% 27.63/6.07 % (2680592)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=346256097:i=127:av=off:fsr=off:sup=off_2977 on theBenchmark for (2977ds/127Mi)
% 27.63/6.07 % (2680592)Instruction limit reached!
% 27.63/6.07 % (2680592)------------------------------
% 27.63/6.07 % (2680592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.63/6.07 % (2680592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/6.07 % (2680592)CaDiCaL version: 2.1.3
% 27.63/6.07 % (2680592)Termination reason: Instruction limit
% 66.35/11.56 % (2680592)Termination phase: Naming
% 66.35/11.56 % (2680592)Time elapsed: 0.113 s
% 66.35/11.56 % (2680592)Peak memory usage: 93 MB
% 66.35/11.56 % (2680592)Instructions burned: 128 (million)
% 66.35/11.56 % (2680594)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4160668367:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2975 on theBenchmark for (2975ds/114Mi)
% 66.35/11.56 % (2680596)lrs+10_1_sil=8000:sp=occurrence:random_seed=476225743:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2974 on theBenchmark for (2974ds/907Mi)
% 66.35/11.56 % (2680594)Instruction limit reached!
% 66.35/11.56 % (2680594)------------------------------
% 66.35/11.56 % (2680594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.35/11.56 % (2680594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.35/11.56 % (2680594)CaDiCaL version: 2.1.3
% 66.35/11.56 % (2680594)Termination reason: Instruction limit
% 66.35/11.56 % (2680594)Termination phase: Property scanning
% 66.35/11.56 % (2680594)Time elapsed: 0.084 s
% 66.35/11.56 % (2680594)Peak memory usage: 90 MB
% 66.35/11.56 % (2680594)Instructions burned: 114 (million)
% 66.35/11.56 % (2680597)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1191484091:i=437:sd=1:aac=none:ss=included_2973 on theBenchmark for (2973ds/437Mi)
% 66.35/11.56 % (2680602)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3209308512:i=5202:ss=axioms:sgt=16_2971 on theBenchmark for (2971ds/5202Mi)
% 66.35/11.56 % (2680588)Instruction limit reached!
% 66.35/11.56 % (2680588)------------------------------
% 66.35/11.56 % (2680588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.35/11.56 % (2680588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.35/11.56 % (2680588)CaDiCaL version: 2.1.3
% 66.35/11.56 % (2680588)Termination reason: Instruction limit
% 66.35/11.56 % (2680588)Termination phase: Twee Goal Transformation
% 66.35/11.56 % (2680588)Time elapsed: 0.892 s
% 66.35/11.56 % (2680588)Peak memory usage: 105 MB
% 66.35/11.56 % (2680588)Instructions burned: 2350 (million)
% 66.35/11.56 % (2680597)Instruction limit reached!
% 66.35/11.56 % (2680597)------------------------------
% 66.35/11.56 % (2680597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.35/11.56 % (2680597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.35/11.56 % (2680597)CaDiCaL version: 2.1.3
% 66.35/11.56 % (2680597)Termination reason: Instruction limit
% 66.35/11.56 % (2680597)Termination phase: Property scanning
% 66.35/11.56 % (2680597)Time elapsed: 0.363 s
% 66.35/11.56 % (2680597)Peak memory usage: 100 MB
% 66.35/11.56 % (2680597)Instructions burned: 437 (million)
% 66.35/11.56 % (2680596)Instruction limit reached!
% 66.35/11.56 % (2680596)------------------------------
% 66.35/11.56 % (2680596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.35/11.56 % (2680596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.35/11.56 % (2680596)CaDiCaL version: 2.1.3
% 66.35/11.56 % (2680596)Termination reason: Instruction limit
% 66.35/11.56 % (2680596)Termination phase: Property scanning
% 66.35/11.56 % (2680596)Time elapsed: 0.544 s
% 66.35/11.56 % (2680596)Peak memory usage: 99 MB
% 66.35/11.56 % (2680596)Instructions burned: 907 (million)
% 66.35/11.56 % (2680605)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=263377826:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2968 on theBenchmark for (2968ds/134Mi)
% 66.35/11.56 % (2680605)Instruction limit reached!
% 66.35/11.56 % (2680605)------------------------------
% 66.35/11.56 % (2680605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.35/11.56 % (2680605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.35/11.56 % (2680605)CaDiCaL version: 2.1.3
% 66.35/11.56 % (2680605)Termination reason: Instruction limit
% 66.35/11.56 % (2680605)Termination phase: Preprocessing 1
% 66.35/11.56 % (2680605)Time elapsed: 0.065 s
% 66.35/11.56 % (2680605)Peak memory usage: 91 MB
% 66.35/11.56 % (2680605)Instructions burned: 135 (million)
% 66.35/11.56 % (2680606)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2148546073:st=8:i=592:sd=3:ep=RST:ss=axioms_2967 on theBenchmark for (2967ds/592Mi)
% 66.35/11.56 % (2680607)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=432935040:st=3:i=13193:sd=3:ss=axioms_2966 on theBenchmark for (2966ds/13193Mi)
% 66.35/11.56 % (2680609)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=3093118663:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/125Mi)
% 36.57/14.06 % (2680606)Instruction limit reached!
% 36.57/14.06 % (2680606)------------------------------
% 36.57/14.06 % (2680606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680606)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680606)Termination reason: Instruction limit
% 36.57/14.06 % (2680606)Termination phase: Preprocessing 3
% 36.57/14.06 % (2680606)Time elapsed: 0.266 s
% 36.57/14.06 % (2680606)Peak memory usage: 102 MB
% 36.57/14.06 % (2680606)Instructions burned: 593 (million)
% 36.57/14.06 % (2680609)Instruction limit reached!
% 36.57/14.06 % (2680609)------------------------------
% 36.57/14.06 % (2680609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680609)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680609)Termination reason: Instruction limit
% 36.57/14.06 % (2680609)Termination phase: Property scanning
% 36.57/14.06 % (2680609)Time elapsed: 0.093 s
% 36.57/14.06 % (2680609)Peak memory usage: 90 MB
% 36.57/14.06 % (2680609)Instructions burned: 125 (million)
% 36.57/14.06 % (2680614)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3932806912:i=134:gtgl=5:slsql=off:gtg=exists_sym_2962 on theBenchmark for (2962ds/134Mi)
% 36.57/14.06 % (2680614)Instruction limit reached!
% 36.57/14.06 % (2680614)------------------------------
% 36.57/14.06 % (2680614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680614)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680614)Termination reason: Instruction limit
% 36.57/14.06 % (2680614)Termination phase: Property scanning
% 36.57/14.06 % (2680614)Time elapsed: 0.057 s
% 36.57/14.06 % (2680614)Peak memory usage: 90 MB
% 36.57/14.06 % (2680614)Instructions burned: 136 (million)
% 36.57/14.06 % (2680616)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3523529220:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/141Mi)
% 36.57/14.06 % (2680616)Instruction limit reached!
% 36.57/14.06 % (2680616)------------------------------
% 36.57/14.06 % (2680616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680616)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680616)Termination reason: Instruction limit
% 36.57/14.06 % (2680616)Termination phase: Property scanning
% 36.57/14.06 % (2680616)Time elapsed: 0.120 s
% 36.57/14.06 % (2680616)Peak memory usage: 92 MB
% 36.57/14.06 % (2680616)Instructions burned: 142 (million)
% 36.57/14.06 % (2680618)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3070690652:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2959 on theBenchmark for (2959ds/431Mi)
% 36.57/14.06 % (2680622)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=2665990076:i=6060:aac=none:ins=25_2958 on theBenchmark for (2958ds/6060Mi)
% 36.57/14.06 % (2680618)Instruction limit reached!
% 36.57/14.06 % (2680618)------------------------------
% 36.57/14.06 % (2680618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680618)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680618)Termination reason: Instruction limit
% 36.57/14.06 % (2680618)Termination phase: Saturation
% 36.57/14.06 % (2680618)Time elapsed: 0.360 s
% 36.57/14.06 % (2680618)Peak memory usage: 96 MB
% 36.57/14.06 % (2680618)Instructions burned: 431 (million)
% 36.57/14.06 % (2680625)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=3947780263:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2953 on theBenchmark for (2953ds/150Mi)
% 36.57/14.06 % (2680625)Instruction limit reached!
% 36.57/14.06 % (2680625)------------------------------
% 36.57/14.06 % (2680625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680625)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680625)Termination reason: Instruction limit
% 36.57/14.06 % (2680625)Termination phase: Preprocessing 1
% 36.57/14.06 % (2680625)Time elapsed: 0.134 s
% 36.57/14.06 % (2680625)Peak memory usage: 91 MB
% 36.57/14.06 % (2680625)Instructions burned: 150 (million)
% 36.57/14.06 % (2680627)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1369590246:i=14155:bd=all_2949 on theBenchmark for (2949ds/14155Mi)
% 36.57/14.06 % (2680622)Instruction limit reached!
% 36.57/14.06 % (2680622)------------------------------
% 36.57/14.06 % (2680622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680622)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680622)Termination reason: Instruction limit
% 36.57/14.06 % (2680622)Termination phase: Saturation
% 36.57/14.06 % (2680622)Time elapsed: 3.349 s
% 36.57/14.06 % (2680622)Peak memory usage: 422 MB
% 36.57/14.06 % (2680622)Instructions burned: 6060 (million)
% 36.57/14.06 % (2680602)Instruction limit reached!
% 36.57/14.06 % (2680602)------------------------------
% 36.57/14.06 % (2680602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680602)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680602)Termination reason: Instruction limit
% 36.57/14.06 % (2680602)Termination phase: Saturation
% 36.57/14.06 % (2680602)Time elapsed: 4.892 s
% 36.57/14.06 % (2680602)Peak memory usage: 263 MB
% 36.57/14.06 % (2680602)Instructions burned: 5202 (million)
% 36.57/14.06 % (2680629)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2004807573:i=667:av=off:fsr=off_2922 on theBenchmark for (2922ds/667Mi)
% 36.57/14.06 % (2680631)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=1679291035:s2a=on:i=185:s2at=1.8:fdi=4_2919 on theBenchmark for (2919ds/185Mi)
% 36.57/14.06 % (2680629)Instruction limit reached!
% 36.57/14.06 % (2680629)------------------------------
% 36.57/14.06 % (2680629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680629)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680629)Termination reason: Instruction limit
% 36.57/14.06 % (2680629)Termination phase: Property scanning
% 36.57/14.06 % (2680629)Time elapsed: 0.290 s
% 36.57/14.06 % (2680629)Peak memory usage: 102 MB
% 36.57/14.06 % (2680629)Instructions burned: 668 (million)
% 36.57/14.06 % (2680631)Instruction limit reached!
% 36.57/14.06 % (2680631)------------------------------
% 36.57/14.06 % (2680631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680631)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680631)Termination reason: Instruction limit
% 36.57/14.06 % (2680631)Termination phase: Preprocessing 1
% 36.57/14.06 % (2680631)Time elapsed: 0.159 s
% 36.57/14.06 % (2680631)Peak memory usage: 91 MB
% 36.57/14.06 % (2680631)Instructions burned: 186 (million)
% 36.57/14.06 % (2680635)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1544783584:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2916 on theBenchmark for (2916ds/193Mi)
% 36.57/14.06 % (2680635)Instruction limit reached!
% 36.57/14.06 % (2680635)------------------------------
% 36.57/14.06 % (2680635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680635)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680635)Termination reason: Instruction limit
% 36.57/14.06 % (2680635)Termination phase: Preprocessing 1
% 36.57/14.06 % (2680635)Time elapsed: 0.083 s
% 36.57/14.06 % (2680635)Peak memory usage: 91 MB
% 36.57/14.06 % (2680635)Instructions burned: 193 (million)
% 36.57/14.06 % (2680636)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3682527504:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2915 on theBenchmark for (2915ds/4850Mi)
% 36.57/14.06 % (2680638)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1229977009:i=12111:sd=1:ss=included_2914 on theBenchmark for (2914ds/12111Mi)
% 36.57/14.06 % (2680636)Refutation not found, incomplete strategy
% 36.57/14.06 % (2680636)------------------------------
% 36.57/14.06 % (2680636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680636)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680636)Termination reason: Refutation not found, incomplete strategy
% 36.57/14.06 % (2680636)Time elapsed: 1.793 s
% 36.57/14.06 % (2680636)Peak memory usage: 122 MB
% 36.57/14.06 % (2680636)Instructions burned: 2263 (million)
% 36.57/14.06 % (2680636)------------------------------
% 36.57/14.06 % (2680636)------------------------------
% 36.57/14.06 % (2680641)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=717310567:i=319:kws=precedence:fsr=off_2890 on theBenchmark for (2890ds/319Mi)
% 36.57/14.06 % (2680641)Instruction limit reached!
% 36.57/14.06 % (2680641)------------------------------
% 36.57/14.06 % (2680641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680641)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680641)Termination reason: Instruction limit
% 36.57/14.06 % (2680641)Termination phase: Preprocessing 3
% 36.57/14.06 % (2680641)Time elapsed: 0.276 s
% 36.57/14.06 % (2680641)Peak memory usage: 99 MB
% 36.57/14.06 % (2680641)Instructions burned: 319 (million)
% 36.57/14.06 % (2680643)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=14962398:i=2064:ep=RST_2885 on theBenchmark for (2885ds/2064Mi)
% 36.57/14.06 % (2680607)First to succeed.
% 36.57/14.06 % (2680607)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2680560"
% 36.57/14.06 % (2680643)Instruction limit reached!
% 36.57/14.06 % (2680643)------------------------------
% 36.57/14.06 % (2680643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.57/14.06 % (2680643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.57/14.06 % (2680643)CaDiCaL version: 2.1.3
% 36.57/14.06 % (2680643)Termination reason: Instruction limit
% 36.57/14.06 % (2680643)Termination phase: Property scanning
% 36.57/14.06 % (2680643)Time elapsed: 1.100 s
% 36.57/14.06 % (2680643)Peak memory usage: 106 MB
% 36.57/14.06 % (2680643)Instructions burned: 2067 (million)
% 36.57/14.06 % (2680638)Also succeeded, but the first one will report.
% 36.57/14.06 % (2680607)Refutation found. Thanks to Tanya!
% 36.57/14.06 % SZS status Theorem for theBenchmark
% 36.57/14.06 % SZS output start Proof for theBenchmark
% See solution above
% 84.65/14.26 % (2680607)------------------------------
% 84.65/14.26 % (2680607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.65/14.26 % (2680607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.65/14.26 % (2680607)CaDiCaL version: 2.1.3
% 84.65/14.26 % (2680607)Termination reason: Refutation
% 84.65/14.26 % (2680607)Time elapsed: 9.141 s
% 84.65/14.26 % (2680607)Peak memory usage: 369 MB
% 84.65/14.26 % (2680607)Instructions burned: 9989 (million)
% 84.65/14.26 % (2680607)------------------------------
% 84.65/14.26 % (2680607)------------------------------
% 84.65/14.26 % (2680560)Success in time 12.985 s
% 84.65/14.26 % Vampire exiting
%------------------------------------------------------------------------------