%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO446+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 09:52:40 AM UTC 2026
% Result : Theorem 69.67s 12.69s
% Output : Refutation 70.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 18 unt; 3 def)
% Number of atoms : 132 ( 43 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 119 ( 52 ~; 60 |; 2 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 34 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
p(s(bool,t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aTRUTH) ).
fof(f44,axiom,
( ~ p(s(bool,f0))
<=> p(s(bool,t)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNOTu_CLAUSESu_WEAKu_conjunct1) ).
fof(f97,axiom,
! [X0] :
( s(bool,X0) = s(bool,t)
| s(bool,X0) = s(bool,f0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aBOOLu_CASESu_AX) ).
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(f2796,axiom,
! [X0,X1,X2] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aDOTu_SYM) ).
fof(f3004,axiom,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))))
<=> s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aorthogonal) ).
fof(f3007,conjecture,
! [X0,X1,X2] : s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aORTHOGONALu_SYM) ).
fof(f3008,negated_conjecture,
~ ! [X0,X1,X2] : s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))),
inference(negated_conjecture,[status(cth)],[f3007]) ).
fof(f3358,plain,
? [X0,X1,X2] : s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))) != s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1))),
inference(ennf_transformation,[],[f3008]) ).
fof(f4650,plain,
s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97))) != s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK97))),s(cart(real,sK95),sK96))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK95,sK96,sK97]),skolemize(X0,sK95),skolemize(X1,sK96),skolemize(X2,sK97)],[f3358]) ).
fof(f4918,plain,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2))) )
& ( s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0)))))
| ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2)))) ) ),
inference(nnf_transformation,[],[f3004]) ).
fof(f6276,plain,
( ( ~ p(s(bool,f0))
| ~ p(s(bool,t)) )
& ( p(s(bool,t))
| p(s(bool,f0)) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f6599,plain,
s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97))) != s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK97))),s(cart(real,sK95),sK96))),
inference(cnf_transformation,[],[f4650]) ).
fof(f6657,plain,
! [X0] : s(num,X0) = s(num,i(s(fun(num,num),numeral),s(num,X0))),
inference(cnf_transformation,[],[f200]) ).
fof(f6955,plain,
! [X2,X0,X1] :
( ~ p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2))))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2))) ),
inference(cnf_transformation,[],[f4918]) ).
fof(f6956,plain,
! [X2,X0,X1] :
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2)))
| p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X1))),s(cart(real,X0),X2)))) ),
inference(cnf_transformation,[],[f4918]) ).
fof(f7541,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X1))),
inference(cnf_transformation,[],[f2796]) ).
fof(f9627,plain,
! [X0] :
( s(bool,X0) = s(bool,f0)
| s(bool,t) = s(bool,X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f9676,plain,
( ~ p(s(bool,f0))
| ~ p(s(bool,t)) ),
inference(cnf_transformation,[],[f6276]) ).
fof(f9691,plain,
p(s(bool,t)),
inference(cnf_transformation,[],[f3]) ).
fof(f10423,plain,
~ p(s(bool,f0)),
inference(forward_subsumption_resolution,[],[f9676,f9691]) ).
fof(f10426,definition,
( spl2014_9
<=> p(s(bool,f0)) ),
introduced(definition,[new_symbols(definition,[spl2014_9])],[avatar_definition]) ).
fof(f10428,plain,
( ~ p(s(bool,f0))
| spl2014_9 ),
inference(avatar_component_clause,[],[f10426]) ).
fof(f11556,plain,
~ spl2014_9,
inference(avatar_split_clause,[],[f10423,f10426]) ).
fof(f12291,plain,
( s(bool,f0) != s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97)))
| s(bool,t) = s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK97))),s(cart(real,sK95),sK96))) ),
inference(superposition,[],[f6599,f9627]) ).
fof(f12307,definition,
( spl2014_120
<=> s(bool,t) = s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK97))),s(cart(real,sK95),sK96))) ),
introduced(definition,[new_symbols(definition,[spl2014_120])],[avatar_definition]) ).
fof(f12309,plain,
( s(bool,t) = s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK97))),s(cart(real,sK95),sK96)))
| ~ spl2014_120 ),
inference(avatar_component_clause,[],[f12307]) ).
fof(f12311,definition,
( spl2014_121
<=> s(bool,f0) = s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97))) ),
introduced(definition,[new_symbols(definition,[spl2014_121])],[avatar_definition]) ).
fof(f12312,plain,
( s(bool,f0) = s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97)))
| ~ spl2014_121 ),
inference(avatar_component_clause,[],[f12311]) ).
fof(f12313,plain,
( s(bool,f0) != s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97)))
| spl2014_121 ),
inference(avatar_component_clause,[],[f12311]) ).
fof(f12314,plain,
( spl2014_120
| ~ spl2014_121 ),
inference(avatar_split_clause,[],[f12291,f12311,f12307]) ).
fof(f12317,plain,
( s(bool,f0) != s(bool,f0)
| s(bool,t) = s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97)))
| spl2014_121 ),
inference(superposition,[],[f12313,f9627]) ).
fof(f12318,plain,
( s(bool,t) = s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97)))
| spl2014_121 ),
inference(trivial_inequality_removal,[],[f12317]) ).
fof(f12340,plain,
( ~ p(s(bool,t))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(cart(real,sK95),real),i(s(fun(cart(real,sK95),fun(cart(real,sK95),real)),dot),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97)))
| spl2014_121 ),
inference(superposition,[],[f6955,f12318]) ).
fof(f12342,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(cart(real,sK95),real),i(s(fun(cart(real,sK95),fun(cart(real,sK95),real)),dot),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97)))
| spl2014_121 ),
inference(forward_subsumption_resolution,[],[f12340,f9691]) ).
fof(f12343,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) = s(real,i(s(fun(cart(real,sK95),real),i(s(fun(cart(real,sK95),fun(cart(real,sK95),real)),dot),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97)))
| spl2014_121 ),
inference(forward_demodulation,[],[f12342,f6657]) ).
fof(f12389,plain,
! [X2,X0,X1] :
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2)))
| p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1)))) ),
inference(superposition,[],[f6956,f7541]) ).
fof(f12393,plain,
! [X2,X0,X1] :
( s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| p(s(bool,i(s(fun(cart(real,X0),bool),i(s(fun(cart(real,X0),fun(cart(real,X0),bool)),orthogonal),s(cart(real,X0),X2))),s(cart(real,X0),X1)))) ),
inference(forward_demodulation,[],[f12389,f6657]) ).
fof(f12411,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| p(s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK97))),s(cart(real,sK95),sK96))))
| spl2014_121 ),
inference(superposition,[],[f12393,f12343]) ).
fof(f12412,plain,
( p(s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK97))),s(cart(real,sK95),sK96))))
| spl2014_121 ),
inference(trivial_inequality_removal,[],[f12411]) ).
fof(f12414,plain,
( p(s(bool,f0))
| s(bool,t) = s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK97))),s(cart(real,sK95),sK96)))
| spl2014_121 ),
inference(superposition,[],[f12412,f9627]) ).
fof(f12415,plain,
( s(bool,t) = s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK97))),s(cart(real,sK95),sK96)))
| spl2014_9
| spl2014_121 ),
inference(forward_subsumption_resolution,[],[f12414,f10428]) ).
fof(f12417,plain,
( spl2014_120
| spl2014_9
| spl2014_121 ),
inference(avatar_split_clause,[],[f12415,f12311,f10426,f12307]) ).
fof(f12421,plain,
( s(bool,t) != s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97)))
| ~ spl2014_120 ),
inference(superposition,[],[f6599,f12309]) ).
fof(f12422,plain,
( ~ p(s(bool,t))
| s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(cart(real,sK95),real),i(s(fun(cart(real,sK95),fun(cart(real,sK95),real)),dot),s(cart(real,sK95),sK97))),s(cart(real,sK95),sK96)))
| ~ spl2014_120 ),
inference(superposition,[],[f6955,f12309]) ).
fof(f12425,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(cart(real,sK95),real),i(s(fun(cart(real,sK95),fun(cart(real,sK95),real)),dot),s(cart(real,sK95),sK97))),s(cart(real,sK95),sK96)))
| ~ spl2014_120 ),
inference(forward_subsumption_resolution,[],[f12422,f9691]) ).
fof(f12426,plain,
( $false
| ~ spl2014_120
| spl2014_121 ),
inference(forward_subsumption_resolution,[],[f12421,f12318]) ).
fof(f12427,plain,
( ~ spl2014_120
| spl2014_121 ),
inference(avatar_contradiction_clause,[],[f12426]) ).
fof(f12428,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) = s(real,i(s(fun(cart(real,sK95),real),i(s(fun(cart(real,sK95),fun(cart(real,sK95),real)),dot),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97)))
| ~ spl2014_120 ),
inference(forward_demodulation,[],[f12425,f7541]) ).
fof(f12431,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) = s(real,i(s(fun(cart(real,sK95),real),i(s(fun(cart(real,sK95),fun(cart(real,sK95),real)),dot),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97)))
| ~ spl2014_120 ),
inference(forward_demodulation,[],[f12428,f6657]) ).
fof(f12436,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| p(s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97))))
| ~ spl2014_120 ),
inference(superposition,[],[f6956,f12431]) ).
fof(f12441,plain,
( s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0))) != s(real,i(s(fun(num,real),realu_ofu_num),s(num,u_0)))
| p(s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97))))
| ~ spl2014_120 ),
inference(forward_demodulation,[],[f12436,f6657]) ).
fof(f12442,plain,
( p(s(bool,i(s(fun(cart(real,sK95),bool),i(s(fun(cart(real,sK95),fun(cart(real,sK95),bool)),orthogonal),s(cart(real,sK95),sK96))),s(cart(real,sK95),sK97))))
| ~ spl2014_120 ),
inference(trivial_inequality_removal,[],[f12441]) ).
fof(f12444,plain,
( p(s(bool,f0))
| ~ spl2014_120
| ~ spl2014_121 ),
inference(forward_demodulation,[],[f12442,f12312]) ).
fof(f12445,plain,
( $false
| spl2014_9
| ~ spl2014_120
| ~ spl2014_121 ),
inference(forward_subsumption_resolution,[],[f12444,f10428]) ).
fof(f12446,plain,
( spl2014_9
| ~ spl2014_120
| ~ spl2014_121 ),
inference(avatar_contradiction_clause,[],[f12445]) ).
cnf(s103,plain,
~ spl2014_9,
inference(sat_conversion,[],[f11556]) ).
cnf(s142,plain,
( spl2014_120
| ~ spl2014_121 ),
inference(sat_conversion,[],[f12314]) ).
cnf(s144,plain,
( spl2014_9
| spl2014_120
| spl2014_121 ),
inference(sat_conversion,[],[f12417]) ).
cnf(s145,plain,
( ~ spl2014_120
| spl2014_121 ),
inference(sat_conversion,[],[f12427]) ).
cnf(s146,plain,
( spl2014_9
| ~ spl2014_120
| ~ spl2014_121 ),
inference(sat_conversion,[],[f12446]) ).
cnf(s147,plain,
spl2014_120,
inference(rat,[],[s142,s144,s103]) ).
cnf(s148,plain,
~ spl2014_121,
inference(rat,[],[s146,s103,s147]) ).
cnf(s149,plain,
$false,
inference(rat,[],[s145,s148,s147]) ).
fof(f12447,plain,
$false,
inference(avatar_sat_refutation,[],[s149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO446+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n006.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 08:14:26 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 24.21/6.16 % (2679201)Detected formulas, will run a generic FOF schedule.
% 24.21/6.16 % (2679207)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=104171192:i=141193_2981 on theBenchmark for (2981ds/141193Mi)
% 24.21/6.16 % (2679208)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=4099784241:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2981 on theBenchmark for (2981ds/134677Mi)
% 24.21/6.16 % (2679209)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=3795516273:i=141695:sd=1:nm=32:gsp=on:ss=included_2981 on theBenchmark for (2981ds/141695Mi)
% 24.21/6.16 % (2679211)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=868950620:i=119:av=off:ss=axioms_2981 on theBenchmark for (2981ds/119Mi)
% 24.21/6.16 % (2679210)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1817944236:i=109:sd=1:ins=1:gsp=on:ss=axioms_2981 on theBenchmark for (2981ds/109Mi)
% 24.21/6.16 % (2679212)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2191333799:s2a=on:i=139:gtg=position_2981 on theBenchmark for (2981ds/139Mi)
% 24.21/6.16 % (2679213)dis-21_1_sil=8000:lcm=predicate:random_seed=1134337672:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2981 on theBenchmark for (2981ds/129Mi)
% 24.21/6.16 % (2679210)Refutation not found, incomplete strategy
% 24.21/6.16 % (2679210)------------------------------
% 24.21/6.16 % (2679210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.21/6.16 % (2679210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.21/6.16 % (2679210)CaDiCaL version: 2.1.3
% 24.21/6.16 % (2679210)Termination reason: Refutation not found, incomplete strategy
% 24.21/6.16 % (2679210)Time elapsed: 0.067 s
% 24.21/6.16 % (2679210)Peak memory usage: 94 MB
% 24.21/6.16 % (2679210)Instructions burned: 77 (million)
% 24.21/6.16 % (2679211)Instruction limit reached!
% 24.21/6.16 % (2679211)------------------------------
% 24.21/6.16 % (2679211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.21/6.16 % (2679211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.21/6.16 % (2679211)CaDiCaL version: 2.1.3
% 24.21/6.16 % (2679211)Termination reason: Instruction limit
% 24.21/6.16 % (2679211)Termination phase: Preprocessing 3
% 24.21/6.16 % (2679211)Time elapsed: 0.106 s
% 24.21/6.16 % (2679211)Peak memory usage: 91 MB
% 24.21/6.16 % (2679211)Instructions burned: 120 (million)
% 24.21/6.16 % (2679212)Instruction limit reached!
% 24.21/6.16 % (2679212)------------------------------
% 24.21/6.16 % (2679212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.21/6.16 % (2679212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.21/6.16 % (2679212)CaDiCaL version: 2.1.3
% 24.21/6.16 % (2679212)Termination reason: Instruction limit
% 24.21/6.16 % (2679212)Termination phase: Property scanning
% 24.21/6.16 % (2679212)Time elapsed: 0.104 s
% 24.21/6.16 % (2679212)Peak memory usage: 90 MB
% 24.21/6.16 % (2679212)Instructions burned: 141 (million)
% 24.21/6.16 % (2679213)Instruction limit reached!
% 24.21/6.16 % (2679213)------------------------------
% 24.21/6.16 % (2679213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.21/6.16 % (2679213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.21/6.16 % (2679213)CaDiCaL version: 2.1.3
% 24.21/6.16 % (2679213)Termination reason: Instruction limit
% 24.21/6.16 % (2679213)Termination phase: Preprocessing 1
% 24.21/6.16 % (2679213)Time elapsed: 0.101 s
% 24.21/6.16 % (2679213)Peak memory usage: 90 MB
% 24.21/6.16 % (2679213)Instructions burned: 129 (million)
% 24.21/6.16 % (2679222)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2150965998:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/157Mi)
% 24.21/6.16 % (2679221)lrs+10_1_sil=8000:sp=occurrence:random_seed=1953909585:i=285:sd=3:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/285Mi)
% 24.21/6.16 % (2679223)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3796746333:i=325:sd=1:ss=axioms:sgt=32_2977 on theBenchmark for (2977ds/325Mi)
% 24.21/6.16 % (2679210)------------------------------
% 24.21/6.16 % (2679210)------------------------------
% 24.21/6.16 % (2679222)Instruction limit reached!
% 24.21/6.16 % (2679222)------------------------------
% 24.21/6.16 % (2679222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.39/7.66 % (2679222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/7.66 % (2679222)CaDiCaL version: 2.1.3
% 34.39/7.66 % (2679222)Termination reason: Instruction limit
% 34.39/7.66 % (2679222)Termination phase: Property scanning
% 34.39/7.66 % (2679222)Time elapsed: 0.117 s
% 34.39/7.66 % (2679222)Peak memory usage: 90 MB
% 34.39/7.66 % (2679222)Instructions burned: 158 (million)
% 34.39/7.66 % (2679221)Instruction limit reached!
% 34.39/7.66 % (2679221)------------------------------
% 34.39/7.66 % (2679221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.39/7.66 % (2679221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/7.66 % (2679221)CaDiCaL version: 2.1.3
% 34.39/7.66 % (2679221)Termination reason: Instruction limit
% 34.39/7.66 % (2679221)Termination phase: Property scanning
% 34.39/7.66 % (2679221)Time elapsed: 0.226 s
% 34.39/7.66 % (2679221)Peak memory usage: 93 MB
% 34.39/7.66 % (2679221)Instructions burned: 285 (million)
% 34.39/7.66 % (2679223)Instruction limit reached!
% 34.39/7.66 % (2679223)------------------------------
% 34.39/7.66 % (2679223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.39/7.66 % (2679223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/7.66 % (2679223)CaDiCaL version: 2.1.3
% 34.39/7.66 % (2679223)Termination reason: Instruction limit
% 34.39/7.66 % (2679223)Termination phase: Saturation
% 34.39/7.66 % (2679223)Time elapsed: 0.274 s
% 34.39/7.66 % (2679223)Peak memory usage: 96 MB
% 34.39/7.66 % (2679223)Instructions burned: 325 (million)
% 34.39/7.66 % (2679227)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=3588173805:s2a=on:i=248:s2at=1.23:gtg=position_2973 on theBenchmark for (2973ds/248Mi)
% 34.39/7.66 % (2679228)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3051603065:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 34.39/7.66 % (2679229)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=88572710:i=2350_2972 on theBenchmark for (2972ds/2350Mi)
% 34.39/7.66 % (2679230)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3874259713:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 34.39/7.66 % (2679227)Instruction limit reached!
% 34.39/7.66 % (2679227)------------------------------
% 34.39/7.66 % (2679227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.39/7.66 % (2679227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/7.66 % (2679227)CaDiCaL version: 2.1.3
% 34.39/7.66 % (2679227)Termination reason: Instruction limit
% 34.39/7.66 % (2679227)Termination phase: Property scanning
% 34.39/7.66 % (2679227)Time elapsed: 0.184 s
% 34.39/7.66 % (2679227)Peak memory usage: 90 MB
% 34.39/7.66 % (2679227)Instructions burned: 248 (million)
% 34.39/7.66 % (2679228)Instruction limit reached!
% 34.39/7.66 % (2679228)------------------------------
% 34.39/7.66 % (2679228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.39/7.66 % (2679228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/7.66 % (2679228)CaDiCaL version: 2.1.3
% 34.39/7.66 % (2679228)Termination reason: Instruction limit
% 34.39/7.66 % (2679228)Termination phase: Preprocessing 3
% 34.39/7.66 % (2679228)Time elapsed: 0.244 s
% 34.39/7.66 % (2679228)Peak memory usage: 95 MB
% 34.39/7.66 % (2679228)Instructions burned: 295 (million)
% 34.39/7.66 % (2679230)Instruction limit reached!
% 34.39/7.66 % (2679230)------------------------------
% 34.39/7.66 % (2679230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.39/7.66 % (2679230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.39/7.66 % (2679230)CaDiCaL version: 2.1.3
% 34.39/7.66 % (2679230)Termination reason: Instruction limit
% 34.39/7.66 % (2679230)Termination phase: Preprocessing 1
% 34.39/7.66 % (2679230)Time elapsed: 0.100 s
% 34.39/7.66 % (2679230)Peak memory usage: 90 MB
% 34.39/7.66 % (2679230)Instructions burned: 114 (million)
% 34.39/7.66 % (2679235)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2501673090:i=127:av=off:fsr=off:sup=off_2969 on theBenchmark for (2969ds/127Mi)
% 34.39/7.66 % (2679236)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4271348643:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2968 on theBenchmark for (2968ds/114Mi)
% 34.39/7.66 % (2679237)lrs+10_1_sil=8000:sp=occurrence:random_seed=725324582:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2968 on theBenchmark for (2968ds/907Mi)
% 55.50/10.62 % (2679235)Instruction limit reached!
% 55.50/10.62 % (2679235)------------------------------
% 55.50/10.62 % (2679235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.50/10.62 % (2679235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.50/10.62 % (2679235)CaDiCaL version: 2.1.3
% 55.50/10.62 % (2679235)Termination reason: Instruction limit
% 55.50/10.62 % (2679235)Termination phase: Preprocessing 3
% 55.50/10.62 % (2679235)Time elapsed: 0.116 s
% 55.50/10.62 % (2679235)Peak memory usage: 93 MB
% 55.50/10.62 % (2679235)Instructions burned: 127 (million)
% 55.50/10.62 % (2679236)Instruction limit reached!
% 55.50/10.62 % (2679236)------------------------------
% 55.50/10.62 % (2679236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.50/10.62 % (2679236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.50/10.62 % (2679236)CaDiCaL version: 2.1.3
% 55.50/10.62 % (2679236)Termination reason: Instruction limit
% 55.50/10.62 % (2679236)Termination phase: Property scanning
% 55.50/10.62 % (2679236)Time elapsed: 0.086 s
% 55.50/10.62 % (2679236)Peak memory usage: 90 MB
% 55.50/10.62 % (2679236)Instructions burned: 115 (million)
% 55.50/10.62 % (2679242)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2625678989:i=5202:ss=axioms:sgt=16_2964 on theBenchmark for (2964ds/5202Mi)
% 55.50/10.62 % (2679241)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3980172058:i=437:sd=1:aac=none:ss=included_2964 on theBenchmark for (2964ds/437Mi)
% 55.50/10.62 % (2679237)Instruction limit reached!
% 55.50/10.62 % (2679237)------------------------------
% 55.50/10.62 % (2679237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.50/10.62 % (2679237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.50/10.62 % (2679237)CaDiCaL version: 2.1.3
% 55.50/10.62 % (2679237)Termination reason: Instruction limit
% 55.50/10.62 % (2679237)Termination phase: Property scanning
% 55.50/10.62 % (2679237)Time elapsed: 0.695 s
% 55.50/10.62 % (2679237)Peak memory usage: 99 MB
% 55.50/10.62 % (2679237)Instructions burned: 908 (million)
% 55.50/10.62 % (2679241)Instruction limit reached!
% 55.50/10.62 % (2679241)------------------------------
% 55.50/10.62 % (2679241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.50/10.62 % (2679241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.50/10.62 % (2679241)CaDiCaL version: 2.1.3
% 55.50/10.62 % (2679241)Termination reason: Instruction limit
% 55.50/10.62 % (2679241)Termination phase: Property scanning
% 55.50/10.62 % (2679241)Time elapsed: 0.360 s
% 55.50/10.62 % (2679241)Peak memory usage: 96 MB
% 55.50/10.62 % (2679241)Instructions burned: 438 (million)
% 55.50/10.62 % (2679245)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=864178257:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2958 on theBenchmark for (2958ds/134Mi)
% 55.50/10.62 % (2679246)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3949148059:st=8:i=592:sd=3:ep=RST:ss=axioms_2958 on theBenchmark for (2958ds/592Mi)
% 55.50/10.62 % (2679245)Instruction limit reached!
% 55.50/10.62 % (2679245)------------------------------
% 55.50/10.62 % (2679245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.50/10.62 % (2679245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.50/10.62 % (2679245)CaDiCaL version: 2.1.3
% 55.50/10.62 % (2679245)Termination reason: Instruction limit
% 55.50/10.62 % (2679245)Termination phase: NewCNF
% 55.50/10.62 % (2679245)Time elapsed: 0.121 s
% 55.50/10.62 % (2679245)Peak memory usage: 92 MB
% 55.50/10.62 % (2679245)Instructions burned: 134 (million)
% 55.50/10.62 % (2679229)Instruction limit reached!
% 55.50/10.62 % (2679229)------------------------------
% 55.50/10.62 % (2679229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.50/10.62 % (2679229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.50/10.62 % (2679229)CaDiCaL version: 2.1.3
% 55.50/10.62 % (2679229)Termination reason: Instruction limit
% 55.50/10.62 % (2679229)Termination phase: Property scanning
% 55.50/10.62 % (2679229)Time elapsed: 1.747 s
% 55.50/10.62 % (2679229)Peak memory usage: 104 MB
% 55.50/10.62 % (2679229)Instructions burned: 2363 (million)
% 55.50/10.62 % (2679249)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1691243956:st=3:i=13193:sd=3:ss=axioms_2954 on theBenchmark for (2954ds/13193Mi)
% 55.50/10.62 % (2679246)Instruction limit reached!
% 55.50/10.62 % (2679246)------------------------------
% 69.67/12.69 % (2679246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679246)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679246)Termination reason: Instruction limit
% 69.67/12.69 % (2679246)Termination phase: Preprocessing 3
% 69.67/12.69 % (2679246)Time elapsed: 0.492 s
% 69.67/12.69 % (2679246)Peak memory usage: 102 MB
% 69.67/12.69 % (2679246)Instructions burned: 592 (million)
% 69.67/12.69 % (2679250)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=281846436:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2952 on theBenchmark for (2952ds/125Mi)
% 69.67/12.69 % (2679250)Instruction limit reached!
% 69.67/12.69 % (2679250)------------------------------
% 69.67/12.69 % (2679250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679250)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679250)Termination reason: Instruction limit
% 69.67/12.69 % (2679250)Termination phase: Property scanning
% 69.67/12.69 % (2679250)Time elapsed: 0.095 s
% 69.67/12.69 % (2679250)Peak memory usage: 90 MB
% 69.67/12.69 % (2679250)Instructions burned: 126 (million)
% 69.67/12.69 % (2679252)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3327356040:i=134:gtgl=5:slsql=off:gtg=exists_sym_2950 on theBenchmark for (2950ds/134Mi)
% 69.67/12.69 % (2679252)Instruction limit reached!
% 69.67/12.69 % (2679252)------------------------------
% 69.67/12.69 % (2679252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679252)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679252)Termination reason: Instruction limit
% 69.67/12.69 % (2679252)Termination phase: Property scanning
% 69.67/12.69 % (2679252)Time elapsed: 0.103 s
% 69.67/12.69 % (2679252)Peak memory usage: 89 MB
% 69.67/12.69 % (2679252)Instructions burned: 135 (million)
% 69.67/12.69 % (2679254)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=57761842:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2948 on theBenchmark for (2948ds/141Mi)
% 69.67/12.69 % (2679254)Refutation not found, incomplete strategy
% 69.67/12.69 % (2679254)------------------------------
% 69.67/12.69 % (2679254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679254)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679254)Termination reason: Refutation not found, incomplete strategy
% 69.67/12.69 % (2679254)Time elapsed: 0.066 s
% 69.67/12.69 % (2679254)Peak memory usage: 94 MB
% 69.67/12.69 % (2679254)Instructions burned: 74 (million)
% 69.67/12.69 % (2679256)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=898762023:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2946 on theBenchmark for (2946ds/431Mi)
% 69.67/12.69 % (2679256)Refutation not found, incomplete strategy
% 69.67/12.69 % (2679256)------------------------------
% 69.67/12.69 % (2679256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679256)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679256)Termination reason: Refutation not found, incomplete strategy
% 69.67/12.69 % (2679256)Time elapsed: 0.065 s
% 69.67/12.69 % (2679256)Peak memory usage: 94 MB
% 69.67/12.69 % (2679256)Instructions burned: 74 (million)
% 69.67/12.69 % (2679254)------------------------------
% 69.67/12.69 % (2679254)------------------------------
% 69.67/12.69 % (2679256)------------------------------
% 69.67/12.69 % (2679256)------------------------------
% 69.67/12.69 % (2679259)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=3570407236:i=6060:aac=none:ins=25_2940 on theBenchmark for (2940ds/6060Mi)
% 69.67/12.69 % (2679260)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=1978889543:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2938 on theBenchmark for (2938ds/150Mi)
% 69.67/12.69 % (2679260)Instruction limit reached!
% 69.67/12.69 % (2679260)------------------------------
% 69.67/12.69 % (2679260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679260)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679260)Termination reason: Instruction limit
% 69.67/12.69 % (2679260)Termination phase: Preprocessing 1
% 69.67/12.69 % (2679260)Time elapsed: 0.084 s
% 69.67/12.69 % (2679260)Peak memory usage: 91 MB
% 69.67/12.69 % (2679260)Instructions burned: 150 (million)
% 69.67/12.69 % (2679263)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3516338770:i=14155:bd=all_2935 on theBenchmark for (2935ds/14155Mi)
% 69.67/12.69 % (2679242)Instruction limit reached!
% 69.67/12.69 % (2679242)------------------------------
% 69.67/12.69 % (2679242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679242)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679242)Termination reason: Instruction limit
% 69.67/12.69 % (2679242)Termination phase: Saturation
% 69.67/12.69 % (2679242)Time elapsed: 3.965 s
% 69.67/12.69 % (2679242)Peak memory usage: 207 MB
% 69.67/12.69 % (2679242)Instructions burned: 5203 (million)
% 69.67/12.69 % (2679265)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=329027591:i=667:av=off:fsr=off_2921 on theBenchmark for (2921ds/667Mi)
% 69.67/12.69 % (2679265)Instruction limit reached!
% 69.67/12.69 % (2679265)------------------------------
% 69.67/12.69 % (2679265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679265)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679265)Termination reason: Instruction limit
% 69.67/12.69 % (2679265)Termination phase: Property scanning
% 69.67/12.69 % (2679265)Time elapsed: 0.422 s
% 69.67/12.69 % (2679265)Peak memory usage: 101 MB
% 69.67/12.69 % (2679265)Instructions burned: 668 (million)
% 69.67/12.69 % (2679267)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=2932773684:s2a=on:i=185:s2at=1.8:fdi=4_2915 on theBenchmark for (2915ds/185Mi)
% 69.67/12.69 % (2679267)Instruction limit reached!
% 69.67/12.69 % (2679267)------------------------------
% 69.67/12.69 % (2679267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679267)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679267)Termination reason: Instruction limit
% 69.67/12.69 % (2679267)Termination phase: Preprocessing 1
% 69.67/12.69 % (2679267)Time elapsed: 0.108 s
% 69.67/12.69 % (2679267)Peak memory usage: 91 MB
% 69.67/12.69 % (2679267)Instructions burned: 185 (million)
% 69.67/12.69 % (2679269)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=130910636:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2912 on theBenchmark for (2912ds/193Mi)
% 69.67/12.69 % (2679269)Instruction limit reached!
% 69.67/12.69 % (2679269)------------------------------
% 69.67/12.69 % (2679269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679269)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679269)Termination reason: Instruction limit
% 69.67/12.69 % (2679269)Termination phase: Preprocessing 3
% 69.67/12.69 % (2679269)Time elapsed: 0.115 s
% 69.67/12.69 % (2679269)Peak memory usage: 91 MB
% 69.67/12.69 % (2679269)Instructions burned: 193 (million)
% 69.67/12.69 % (2679271)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=604552850:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2908 on theBenchmark for (2908ds/4850Mi)
% 69.67/12.69 % (2679259)Instruction limit reached!
% 69.67/12.69 % (2679259)------------------------------
% 69.67/12.69 % (2679259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679259)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679259)Termination reason: Instruction limit
% 69.67/12.69 % (2679259)Termination phase: Saturation
% 69.67/12.69 % (2679259)Time elapsed: 3.047 s
% 69.67/12.69 % (2679259)Peak memory usage: 304 MB
% 69.67/12.69 % (2679259)Instructions burned: 6062 (million)
% 69.67/12.69 % (2679273)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2480924524:i=12111:sd=1:ss=included_2907 on theBenchmark for (2907ds/12111Mi)
% 69.67/12.69 % (2679271)Refutation not found, incomplete strategy
% 69.67/12.69 % (2679271)------------------------------
% 69.67/12.69 % (2679271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679271)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679271)Termination reason: Refutation not found, incomplete strategy
% 69.67/12.69 % (2679271)Time elapsed: 1.102 s
% 69.67/12.69 % (2679271)Peak memory usage: 119 MB
% 69.67/12.69 % (2679271)Instructions burned: 2046 (million)
% 69.67/12.69 % (2679271)------------------------------
% 69.67/12.69 % (2679271)------------------------------
% 69.67/12.69 % (2679275)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3958905238:i=319:kws=precedence:fsr=off_2893 on theBenchmark for (2893ds/319Mi)
% 69.67/12.69 % (2679275)Instruction limit reached!
% 69.67/12.69 % (2679275)------------------------------
% 69.67/12.69 % (2679275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.67/12.69 % (2679275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.67/12.69 % (2679275)CaDiCaL version: 2.1.3
% 69.67/12.69 % (2679275)Termination reason: Instruction limit
% 69.67/12.69 % (2679275)Termination phase: Preprocessing 3
% 69.67/12.69 % (2679275)Time elapsed: 0.163 s
% 69.67/12.69 % (2679275)Peak memory usage: 99 MB
% 69.67/12.69 % (2679275)Instructions burned: 321 (million)
% 69.67/12.69 % (2679249)First to succeed.
% 69.67/12.69 % (2679249)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2679201"
% 69.67/12.69 % (2679277)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1310017289:i=2064:ep=RST_2889 on theBenchmark for (2889ds/2064Mi)
% 69.67/12.69 % (2679249)Refutation found. Thanks to Tanya!
% 69.67/12.69 % SZS status Theorem for theBenchmark
% 69.67/12.69 % SZS output start Proof for theBenchmark
% See solution above
% 70.70/12.84 % (2679249)------------------------------
% 70.70/12.84 % (2679249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.70/12.84 % (2679249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.70/12.84 % (2679249)CaDiCaL version: 2.1.3
% 70.70/12.84 % (2679249)Termination reason: Refutation
% 70.70/12.84 % (2679249)Time elapsed: 6.084 s
% 70.70/12.84 % (2679249)Peak memory usage: 267 MB
% 70.70/12.84 % (2679249)Instructions burned: 6595 (million)
% 70.70/12.84 % (2679249)------------------------------
% 70.70/12.84 % (2679249)------------------------------
% 70.70/12.84 % (2679201)Success in time 11.493 s
% 70.70/12.84 % Vampire exiting
%------------------------------------------------------------------------------