%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO574+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 : n015.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 09:52:58 AM UTC 2026
% Result : Theorem 6.24s 1.66s
% Output : Refutation 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 10 unt; 2 def)
% Number of atoms : 274 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 296 ( 119 ~; 113 |; 47 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 441 ( 0 sgn 425 !; 16 ?)
% 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,X6,X7] :
( ( circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& coll(X6,X2,X4)
& coll(X6,X1,X5)
& circle(X7,X0,X6,X1) )
=> eqangle(X7,X0,X0,X1,X1,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214036) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& coll(X6,X2,X4)
& coll(X6,X1,X5)
& circle(X7,X0,X6,X1) )
=> eqangle(X7,X0,X0,X1,X1,X0,X0,X3) ),
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,X6,X7] :
( ~ eqangle(X7,X0,X0,X1,X1,X0,X0,X3)
& circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& coll(X6,X2,X4)
& coll(X6,X1,X5)
& circle(X7,X0,X6,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X7,X0,X0,X1,X1,X0,X0,X3)
& circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& coll(X6,X2,X4)
& coll(X6,X1,X5)
& circle(X7,X0,X6,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ eqangle(sK27,sK20,sK20,sK21,sK21,sK20,sK20,sK23)
& circle(sK23,sK20,sK21,sK22)
& perp(sK24,sK22,sK20,sK21)
& coll(sK24,sK20,sK21)
& perp(sK25,sK21,sK20,sK22)
& coll(sK25,sK20,sK22)
& coll(sK26,sK22,sK24)
& coll(sK26,sK21,sK25)
& circle(sK27,sK20,sK26,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[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(sK25,sK21,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ eqangle(sK27,sK20,sK20,sK21,sK21,sK20,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X6,X7)
| ~ para(X4,X5,X8,X9) ),
inference(resolution,[],[f292,f310]) ).
fof(f395,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X6,X7,X4,X5)
| eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X0,X1,X6,X7) ),
inference(resolution,[],[f394,f310]) ).
fof(f396,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(f399,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,[],[f396]) ).
fof(f407,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(f426,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(f441,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f309,f407]) ).
fof(f444,definition,
( spl28_1
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f445,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f447,definition,
( spl28_2
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f448,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f449,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f441,f447,f444]) ).
fof(f454,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f426]) ).
fof(f458,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f454,f448]) ).
fof(f463,plain,
perp(sK20,sK22,sK25,sK21),
inference(resolution,[],[f278,f388]) ).
fof(f465,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK25,sK21)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f279,f388]) ).
fof(f484,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f426]) ).
fof(f488,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f484,f458]) ).
fof(f491,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f488,f448]) ).
fof(f492,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl28_2 ),
inference(resolution,[],[f491,f287]) ).
fof(f498,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f492,f491]) ).
fof(f501,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl28_2 ),
inference(resolution,[],[f498,f399]) ).
fof(f504,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f501,f498]) ).
fof(f506,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f504,f498]) ).
fof(f507,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl28_2 ),
inference(resolution,[],[f506,f327]) ).
fof(f508,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f507,f506]) ).
fof(f509,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl28_2 ),
inference(resolution,[],[f508,f279]) ).
fof(f510,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl28_2 ),
inference(resolution,[],[f508,f278]) ).
fof(f514,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f509,f510]) ).
fof(f515,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X0,X1,X6,X7) )
| ~ spl28_2 ),
inference(resolution,[],[f514,f395]) ).
fof(f516,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f515,f514]) ).
fof(f520,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ spl28_2 ),
inference(resolution,[],[f516,f291]) ).
fof(f537,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X6,X7,X4,X5) )
| ~ spl28_2 ),
inference(resolution,[],[f520,f394]) ).
fof(f541,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f537,f514]) ).
fof(f554,plain,
( $false
| ~ spl28_2 ),
inference(resolution,[],[f541,f392]) ).
fof(f555,plain,
~ spl28_2,
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f559,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f463,f465]) ).
fof(f563,plain,
( $false
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f559,f445]) ).
fof(f564,plain,
~ spl28_1,
inference(avatar_contradiction_clause,[],[f563]) ).
cnf(s1,plain,
( spl28_1
| spl28_2 ),
inference(sat_conversion,[],[f449]) ).
cnf(s2,plain,
~ spl28_2,
inference(sat_conversion,[],[f555]) ).
cnf(s3,plain,
~ spl28_1,
inference(sat_conversion,[],[f564]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f565,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO574+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 08:36:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.24/1.66 % (1349739)Detected formulas, will run a generic FOF schedule.
% 6.24/1.66 % (1349747)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=336059735:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.24/1.66 % (1349749)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2765314111:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.24/1.66 % (1349750)dis-21_1_sil=8000:lcm=predicate:random_seed=3235186954: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)
% 6.24/1.66 % (1349744)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=4025826289:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.24/1.66 % (1349745)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=1046549846:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.24/1.66 % (1349748)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1957001520:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.24/1.66 % (1349746)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=1083741909:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.24/1.66 % (1349747)Refutation not found, incomplete strategy
% 6.24/1.66 % (1349747)------------------------------
% 6.24/1.66 % (1349747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.66 % (1349747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.66 % (1349747)CaDiCaL version: 2.1.3
% 6.24/1.66 % (1349747)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.66 % (1349747)Time elapsed: 0.016 s
% 6.24/1.66 % (1349747)Peak memory usage: 88 MB
% 6.24/1.66 % (1349747)Instructions burned: 29 (million)
% 6.24/1.66 % (1349748)Instruction limit reached!
% 6.24/1.66 % (1349748)------------------------------
% 6.24/1.66 % (1349748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.66 % (1349748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.66 % (1349748)CaDiCaL version: 2.1.3
% 6.24/1.66 % (1349748)Termination reason: Instruction limit
% 6.24/1.66 % (1349748)Termination phase: Saturation
% 6.24/1.66 % (1349748)Time elapsed: 0.068 s
% 6.24/1.66 % (1349748)Peak memory usage: 88 MB
% 6.24/1.66 % (1349748)Instructions burned: 119 (million)
% 6.24/1.66 % (1349750)Instruction limit reached!
% 6.24/1.66 % (1349750)------------------------------
% 6.24/1.66 % (1349750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.66 % (1349750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.66 % (1349750)CaDiCaL version: 2.1.3
% 6.24/1.66 % (1349750)Termination reason: Instruction limit
% 6.24/1.66 % (1349750)Termination phase: Saturation
% 6.24/1.66 % (1349750)Time elapsed: 0.074 s
% 6.24/1.66 % (1349750)Peak memory usage: 89 MB
% 6.24/1.66 % (1349750)Instructions burned: 130 (million)
% 6.24/1.66 % (1349749)Instruction limit reached!
% 6.24/1.66 % (1349749)------------------------------
% 6.24/1.66 % (1349749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.66 % (1349749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.66 % (1349749)CaDiCaL version: 2.1.3
% 6.24/1.66 % (1349749)Termination reason: Instruction limit
% 6.24/1.66 % (1349749)Termination phase: Saturation
% 6.24/1.66 % (1349749)Time elapsed: 0.088 s
% 6.24/1.66 % (1349749)Peak memory usage: 90 MB
% 6.24/1.66 % (1349749)Instructions burned: 139 (million)
% 6.24/1.66 % (1349758)lrs+10_1_sil=8000:sp=occurrence:random_seed=4037064016:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.24/1.66 % (1349759)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2793215146:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.24/1.66 % (1349760)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2628194990:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.24/1.66 % (1349747)------------------------------
% 6.24/1.66 % (1349747)------------------------------
% 6.24/1.66 % (1349759)Instruction limit reached!
% 6.24/1.66 % (1349759)------------------------------
% 6.24/1.66 % (1349759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.66 % (1349759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.66 % (1349759)CaDiCaL version: 2.1.3
% 6.24/1.66 % (1349759)Termination reason: Instruction limit
% 6.24/1.66 % (1349759)Termination phase: Saturation
% 6.24/1.66 % (1349759)Time elapsed: 0.081 s
% 6.24/1.66 % (1349759)Peak memory usage: 89 MB
% 6.24/1.66 % (1349759)Instructions burned: 157 (million)
% 6.24/1.66 % (1349760)Instruction limit reached!
% 6.24/1.66 % (1349760)------------------------------
% 6.24/1.66 % (1349760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.66 % (1349760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.66 % (1349760)CaDiCaL version: 2.1.3
% 6.24/1.66 % (1349760)Termination reason: Instruction limit
% 6.24/1.66 % (1349760)Termination phase: Saturation
% 6.24/1.66 % (1349760)Time elapsed: 0.150 s
% 6.24/1.66 % (1349760)Peak memory usage: 92 MB
% 6.24/1.66 % (1349760)Instructions burned: 328 (million)
% 6.24/1.66 % (1349758)Instruction limit reached!
% 6.24/1.66 % (1349758)------------------------------
% 6.24/1.66 % (1349758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.66 % (1349758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.66 % (1349758)CaDiCaL version: 2.1.3
% 6.24/1.66 % (1349758)Termination reason: Instruction limit
% 6.24/1.66 % (1349758)Termination phase: Saturation
% 6.24/1.66 % (1349758)Time elapsed: 0.186 s
% 6.24/1.66 % (1349758)Peak memory usage: 92 MB
% 6.24/1.66 % (1349758)Instructions burned: 286 (million)
% 6.24/1.66 % (1349764)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=900674248:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.24/1.66 % (1349765)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2011383847:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.24/1.66 % (1349766)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=921742275:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.24/1.66 % (1349767)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2369871899:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.24/1.66 % (1349764)Instruction limit reached!
% 6.24/1.66 % (1349764)------------------------------
% 6.24/1.66 % (1349764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.66 % (1349764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.66 % (1349764)CaDiCaL version: 2.1.3
% 6.24/1.66 % (1349764)Termination reason: Instruction limit
% 6.24/1.66 % (1349764)Termination phase: Saturation
% 6.24/1.66 % (1349764)Time elapsed: 0.141 s
% 6.24/1.66 % (1349764)Peak memory usage: 91 MB
% 6.24/1.66 % (1349764)Instructions burned: 248 (million)
% 6.24/1.66 % (1349767)Instruction limit reached!
% 6.24/1.66 % (1349767)------------------------------
% 6.24/1.66 % (1349767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.66 % (1349767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.66 % (1349767)CaDiCaL version: 2.1.3
% 6.24/1.66 % (1349767)Termination reason: Instruction limit
% 6.24/1.66 % (1349767)Termination phase: Saturation
% 6.24/1.66 % (1349767)Time elapsed: 0.064 s
% 6.24/1.66 % (1349767)Peak memory usage: 89 MB
% 6.24/1.66 % (1349767)Instructions burned: 113 (million)
% 6.24/1.66 % (1349765)Instruction limit reached!
% 6.24/1.66 % (1349765)------------------------------
% 6.24/1.66 % (1349765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.66 % (1349765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.66 % (1349765)CaDiCaL version: 2.1.3
% 6.24/1.66 % (1349765)Termination reason: Instruction limit
% 6.24/1.66 % (1349765)Termination phase: Saturation
% 6.24/1.66 % (1349765)Time elapsed: 0.168 s
% 6.24/1.66 % (1349765)Peak memory usage: 89 MB
% 6.24/1.66 % (1349765)Instructions burned: 294 (million)
% 6.24/1.66 % (1349744)First to succeed.
% 6.24/1.66 % (1349772)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2786910587:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.24/1.66 % (1349744)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1349739"
% 6.24/1.66 % (1349745)Also succeeded, but the first one will report.
% 6.24/1.66 % (1349773)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1993413553:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.24/1.66 % (1349774)lrs+10_1_sil=8000:sp=occurrence:random_seed=1806331743:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.24/1.66 % (1349772)Instruction limit reached!
% 6.24/1.66 % (1349772)------------------------------
% 6.24/1.66 % (1349772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.66 % (1349772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.66 % (1349772)CaDiCaL version: 2.1.3
% 6.24/1.66 % (1349772)Termination reason: Instruction limit
% 6.24/1.66 % (1349772)Termination phase: Saturation
% 6.24/1.66 % (1349772)Time elapsed: 0.071 s
% 6.24/1.66 % (1349772)Peak memory usage: 89 MB
% 6.24/1.66 % (1349772)Instructions burned: 127 (million)
% 6.24/1.66 % (1349773)Instruction limit reached!
% 6.24/1.66 % (1349773)------------------------------
% 6.24/1.66 % (1349773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.66 % (1349773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.66 % (1349773)CaDiCaL version: 2.1.3
% 6.24/1.66 % (1349773)Termination reason: Instruction limit
% 6.24/1.66 % (1349773)Termination phase: Saturation
% 6.24/1.66 % (1349773)Time elapsed: 0.061 s
% 6.24/1.66 % (1349773)Peak memory usage: 89 MB
% 6.24/1.66 % (1349773)Instructions burned: 115 (million)
% 6.24/1.66 % (1349766)Also succeeded, but the first one will report.
% 6.24/1.66 % (1349778)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3714886232:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.24/1.66 % (1349779)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1260266553:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.24/1.66 % (1349744)Refutation found. Thanks to Tanya!
% 6.24/1.66 % SZS status Theorem for theBenchmark
% 6.24/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 7.83/1.85 % (1349744)------------------------------
% 7.83/1.85 % (1349744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.83/1.85 % (1349744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.83/1.85 % (1349744)CaDiCaL version: 2.1.3
% 7.83/1.85 % (1349744)Termination reason: Refutation
% 7.83/1.85 % (1349744)Time elapsed: 0.665 s
% 7.83/1.85 % (1349744)Peak memory usage: 131 MB
% 7.83/1.85 % (1349744)Instructions burned: 992 (million)
% 7.83/1.85 % (1349744)------------------------------
% 7.83/1.85 % (1349744)------------------------------
% 7.83/1.85 % (1349739)Success in time 1.063 s
% 7.83/1.85 % Vampire exiting
%------------------------------------------------------------------------------