%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO581+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:52:59 AM UTC 2026
% Result : Theorem 6.54s 1.93s
% Output : Refutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of formulae : 96 ( 10 unt; 2 def)
% Number of atoms : 255 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 275 ( 116 ~; 110 |; 32 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 430 ( 0 sgn 418 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD22) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X0,X2,X1)
& eqangle(X1,X0,X0,X4,X0,X4,X4,X3)
& cong(X0,X4,X4,X3)
& coll(X5,X1,X4)
& coll(X5,X0,X3) )
=> eqangle(X0,X2,X2,X5,X5,X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416043) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X0,X2,X1)
& eqangle(X1,X0,X0,X4,X0,X4,X4,X3)
& cong(X0,X4,X4,X3)
& coll(X5,X1,X4)
& coll(X5,X0,X3) )
=> eqangle(X0,X2,X2,X5,X5,X2,X2,X1) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X2,X2,X5,X5,X2,X2,X1)
& perp(X2,X0,X2,X1)
& eqangle(X1,X0,X0,X4,X0,X4,X4,X3)
& cong(X0,X4,X4,X3)
& coll(X5,X1,X4)
& coll(X5,X0,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X2,X2,X5,X5,X2,X2,X1)
& perp(X2,X0,X2,X1)
& eqangle(X1,X0,X0,X4,X0,X4,X4,X3)
& cong(X0,X4,X4,X3)
& coll(X5,X1,X4)
& coll(X5,X0,X3) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ eqangle(sK20,sK22,sK22,sK25,sK25,sK22,sK22,sK21)
& perp(sK22,sK20,sK22,sK21)
& eqangle(sK21,sK20,sK20,sK24,sK20,sK24,sK24,sK23)
& cong(sK20,sK24,sK24,sK23)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25)],[f250]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f388,plain,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ eqangle(sK20,sK22,sK22,sK25,sK25,sK22,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X0,X1,X8,X9)
| ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X6,X7,X2,X3,X8,X9) ),
inference(resolution,[],[f310,f292]) ).
fof(f392,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X0,X1)
| eqangle(X4,X5,X6,X7,X2,X3,X6,X7)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f390,f310]) ).
fof(f394,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f289,f310]) ).
fof(f396,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f291,f310]) ).
fof(f432,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f311,f314]) ).
fof(f433,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f432]) ).
fof(f437,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f396]) ).
fof(f443,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f396]) ).
fof(f446,plain,
! [X2,X0,X1] :
( ~ para(X1,X0,X1,X0)
| cyclic(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f443,f437]) ).
fof(f451,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f309,f394]) ).
fof(f454,definition,
( spl26_1
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f455,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f457,definition,
( spl26_2
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f458,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f459,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f451,f457,f454]) ).
fof(f469,plain,
perp(sK22,sK21,sK22,sK20),
inference(resolution,[],[f278,f388]) ).
fof(f473,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl26_2 ),
inference(resolution,[],[f446,f458]) ).
fof(f474,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl26_2 ),
inference(resolution,[],[f473,f287]) ).
fof(f480,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f474,f473]) ).
fof(f483,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl26_2 ),
inference(resolution,[],[f480,f433]) ).
fof(f486,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f483,f480]) ).
fof(f488,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f486,f480]) ).
fof(f489,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl26_2 ),
inference(resolution,[],[f488,f327]) ).
fof(f490,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f489,f488]) ).
fof(f491,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl26_2 ),
inference(resolution,[],[f490,f278]) ).
fof(f512,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK20)
| para(X0,X1,sK22,sK21) ),
inference(resolution,[],[f279,f388]) ).
fof(f515,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl26_2 ),
inference(resolution,[],[f279,f490]) ).
fof(f517,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f515,f491]) ).
fof(f518,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X6,X7,X4,X5) )
| ~ spl26_2 ),
inference(resolution,[],[f517,f392]) ).
fof(f521,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f518,f517]) ).
fof(f522,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ spl26_2 ),
inference(resolution,[],[f521,f291]) ).
fof(f542,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X6,X7,X2,X3,X0,X1) )
| ~ spl26_2 ),
inference(resolution,[],[f522,f390]) ).
fof(f550,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X4,X5,X6,X7,X2,X3,X0,X1)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f542,f517]) ).
fof(f562,plain,
( $false
| ~ spl26_2 ),
inference(resolution,[],[f550,f389]) ).
fof(f563,plain,
~ spl26_2,
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f568,plain,
para(sK22,sK21,sK22,sK21),
inference(resolution,[],[f512,f469]) ).
fof(f569,plain,
( $false
| ~ spl26_1 ),
inference(forward_subsumption_resolution,[],[f568,f455]) ).
fof(f570,plain,
~ spl26_1,
inference(avatar_contradiction_clause,[],[f569]) ).
cnf(s1,plain,
( spl26_1
| spl26_2 ),
inference(sat_conversion,[],[f459]) ).
cnf(s2,plain,
~ spl26_2,
inference(sat_conversion,[],[f563]) ).
cnf(s3,plain,
~ spl26_1,
inference(sat_conversion,[],[f570]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f571,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO581+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 08:34:15 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.54/1.93 % (1722007)Detected formulas, will run a generic FOF schedule.
% 6.54/1.93 % (1722013)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=3763668877:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.54/1.93 % (1722018)dis-21_1_sil=8000:lcm=predicate:random_seed=428547278:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.54/1.93 % (1722017)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1497675268:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.54/1.93 % (1722016)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2830958545:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.54/1.93 % (1722015)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2071379351:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.54/1.93 % (1722012)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=789091331:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.54/1.93 % (1722014)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=4055090586:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.54/1.93 % (1722016)Instruction limit reached!
% 6.54/1.93 % (1722016)------------------------------
% 6.54/1.93 % (1722016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.93 % (1722016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.93 % (1722016)CaDiCaL version: 2.1.3
% 6.54/1.93 % (1722016)Termination reason: Instruction limit
% 6.54/1.93 % (1722016)Termination phase: Saturation
% 6.54/1.93 % (1722016)Time elapsed: 0.063 s
% 6.54/1.93 % (1722016)Peak memory usage: 88 MB
% 6.54/1.93 % (1722016)Instructions burned: 119 (million)
% 6.54/1.93 % (1722015)Instruction limit reached!
% 6.54/1.93 % (1722015)------------------------------
% 6.54/1.93 % (1722015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.93 % (1722015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.93 % (1722015)CaDiCaL version: 2.1.3
% 6.54/1.93 % (1722015)Termination reason: Instruction limit
% 6.54/1.93 % (1722015)Termination phase: Saturation
% 6.54/1.93 % (1722015)Time elapsed: 0.067 s
% 6.54/1.93 % (1722015)Peak memory usage: 89 MB
% 6.54/1.93 % (1722015)Instructions burned: 110 (million)
% 6.54/1.93 % (1722018)Instruction limit reached!
% 6.54/1.93 % (1722018)------------------------------
% 6.54/1.93 % (1722018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.93 % (1722018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.93 % (1722018)CaDiCaL version: 2.1.3
% 6.54/1.93 % (1722018)Termination reason: Instruction limit
% 6.54/1.93 % (1722018)Termination phase: Saturation
% 6.54/1.93 % (1722018)Time elapsed: 0.074 s
% 6.54/1.93 % (1722018)Peak memory usage: 89 MB
% 6.54/1.93 % (1722018)Instructions burned: 130 (million)
% 6.54/1.93 % (1722017)Instruction limit reached!
% 6.54/1.93 % (1722017)------------------------------
% 6.54/1.93 % (1722017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.93 % (1722017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.93 % (1722017)CaDiCaL version: 2.1.3
% 6.54/1.93 % (1722017)Termination reason: Instruction limit
% 6.54/1.93 % (1722017)Termination phase: Saturation
% 6.54/1.93 % (1722017)Time elapsed: 0.085 s
% 6.54/1.93 % (1722017)Peak memory usage: 90 MB
% 6.54/1.93 % (1722017)Instructions burned: 140 (million)
% 6.54/1.93 % (1722026)lrs+10_1_sil=8000:sp=occurrence:random_seed=1886643341:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.54/1.93 % (1722027)lrs+10_1_sil=32000:urr=on:br=off:random_seed=771461993:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.54/1.93 % (1722028)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4231139828:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.54/1.93 % (1722029)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=3488702457:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.54/1.93 % (1722027)Instruction limit reached!
% 6.54/1.93 % (1722027)------------------------------
% 6.54/1.93 % (1722027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.93 % (1722027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.93 % (1722027)CaDiCaL version: 2.1.3
% 6.54/1.93 % (1722027)Termination reason: Instruction limit
% 6.54/1.93 % (1722027)Termination phase: Saturation
% 6.54/1.93 % (1722027)Time elapsed: 0.111 s
% 6.54/1.93 % (1722027)Peak memory usage: 89 MB
% 6.54/1.93 % (1722027)Instructions burned: 158 (million)
% 6.54/1.93 % (1722029)Instruction limit reached!
% 6.54/1.93 % (1722029)------------------------------
% 6.54/1.93 % (1722029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.93 % (1722029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.93 % (1722029)CaDiCaL version: 2.1.3
% 6.54/1.93 % (1722029)Termination reason: Instruction limit
% 6.54/1.93 % (1722029)Termination phase: Saturation
% 6.54/1.93 % (1722029)Time elapsed: 0.140 s
% 6.54/1.93 % (1722029)Peak memory usage: 90 MB
% 6.54/1.93 % (1722029)Instructions burned: 249 (million)
% 6.54/1.93 % (1722026)Instruction limit reached!
% 6.54/1.93 % (1722026)------------------------------
% 6.54/1.93 % (1722026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.93 % (1722026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.93 % (1722026)CaDiCaL version: 2.1.3
% 6.54/1.93 % (1722026)Termination reason: Instruction limit
% 6.54/1.93 % (1722026)Termination phase: Saturation
% 6.54/1.93 % (1722026)Time elapsed: 0.180 s
% 6.54/1.93 % (1722026)Peak memory usage: 91 MB
% 6.54/1.93 % (1722026)Instructions burned: 285 (million)
% 6.54/1.93 % (1722028)Instruction limit reached!
% 6.54/1.93 % (1722028)------------------------------
% 6.54/1.93 % (1722028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.93 % (1722028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.93 % (1722028)CaDiCaL version: 2.1.3
% 6.54/1.93 % (1722028)Termination reason: Instruction limit
% 6.54/1.93 % (1722028)Termination phase: Saturation
% 6.54/1.93 % (1722028)Time elapsed: 0.194 s
% 6.54/1.93 % (1722028)Peak memory usage: 91 MB
% 6.54/1.93 % (1722028)Instructions burned: 325 (million)
% 6.54/1.93 % (1722034)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2215837341:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.54/1.93 % (1722036)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1969789001:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.54/1.93 % (1722035)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=425105952:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.54/1.93 % (1722037)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=48057293:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.54/1.93 % (1722036)Instruction limit reached!
% 6.54/1.93 % (1722036)------------------------------
% 6.54/1.93 % (1722036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.93 % (1722036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.93 % (1722036)CaDiCaL version: 2.1.3
% 6.54/1.93 % (1722036)Termination reason: Instruction limit
% 6.54/1.93 % (1722036)Termination phase: Saturation
% 6.54/1.93 % (1722036)Time elapsed: 0.064 s
% 6.54/1.93 % (1722036)Peak memory usage: 89 MB
% 6.54/1.93 % (1722036)Instructions burned: 114 (million)
% 6.54/1.93 % (1722034)Instruction limit reached!
% 6.54/1.93 % (1722034)------------------------------
% 6.54/1.93 % (1722034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.93 % (1722034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.93 % (1722034)CaDiCaL version: 2.1.3
% 6.54/1.93 % (1722034)Termination reason: Instruction limit
% 6.54/1.93 % (1722034)Termination phase: Saturation
% 6.54/1.93 % (1722034)Time elapsed: 0.164 s
% 6.54/1.93 % (1722034)Peak memory usage: 89 MB
% 6.54/1.93 % (1722034)Instructions burned: 294 (million)
% 6.54/1.93 % (1722037)Instruction limit reached!
% 6.54/1.93 % (1722037)------------------------------
% 6.54/1.93 % (1722037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.93 % (1722037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.93 % (1722037)CaDiCaL version: 2.1.3
% 6.54/1.93 % (1722037)Termination reason: Instruction limit
% 6.54/1.93 % (1722037)Termination phase: Saturation
% 6.54/1.93 % (1722037)Time elapsed: 0.069 s
% 6.54/1.93 % (1722037)Peak memory usage: 89 MB
% 6.54/1.93 % (1722037)Instructions burned: 129 (million)
% 6.54/1.93 % (1722012)First to succeed.
% 6.54/1.93 % (1722012)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1722007"
% 6.54/1.93 % (1722042)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1714803555:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.54/1.93 % (1722043)lrs+10_1_sil=8000:sp=occurrence:random_seed=3065291065:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.54/1.93 % (1722044)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3912581142:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.54/1.93 % (1722042)Instruction limit reached!
% 6.54/1.93 % (1722042)------------------------------
% 6.54/1.93 % (1722042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.93 % (1722042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.93 % (1722042)CaDiCaL version: 2.1.3
% 6.54/1.93 % (1722042)Termination reason: Instruction limit
% 6.54/1.93 % (1722042)Termination phase: Saturation
% 6.54/1.93 % (1722042)Time elapsed: 0.060 s
% 6.54/1.93 % (1722042)Peak memory usage: 89 MB
% 6.54/1.93 % (1722042)Instructions burned: 116 (million)
% 6.54/1.93 % (1722048)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2301727120:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.54/1.93 % (1722012)Refutation found. Thanks to Tanya!
% 6.54/1.93 % SZS status Theorem for theBenchmark
% 6.54/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 8.09/2.12 % (1722012)------------------------------
% 8.09/2.12 % (1722012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.12 % (1722012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.12 % (1722012)CaDiCaL version: 2.1.3
% 8.09/2.12 % (1722012)Termination reason: Refutation
% 8.09/2.12 % (1722012)Time elapsed: 0.656 s
% 8.09/2.12 % (1722012)Peak memory usage: 131 MB
% 8.09/2.12 % (1722012)Instructions burned: 992 (million)
% 8.09/2.12 % (1722012)------------------------------
% 8.09/2.12 % (1722012)------------------------------
% 8.09/2.12 % (1722007)Success in time 1.067 s
% 8.09/2.12 % Vampire exiting
%------------------------------------------------------------------------------