%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO617+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 : n004.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 09:53:04 AM UTC 2026
% Result : Theorem 10.32s 2.71s
% Output : Refutation 12.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 10 unt; 2 def)
% Number of atoms : 259 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 281 ( 119 ~; 113 |; 32 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 433 ( 0 sgn 421 !; 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] :
( ( circle(X3,X0,X1,X2)
& eqangle(X4,X2,X2,X1,X4,X2,X2,X0)
& coll(X4,X0,X1)
& perp(X5,X2,X0,X1)
& coll(X5,X0,X1) )
=> eqangle(X5,X2,X2,X4,X4,X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618079) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( circle(X3,X0,X1,X2)
& eqangle(X4,X2,X2,X1,X4,X2,X2,X0)
& coll(X4,X0,X1)
& perp(X5,X2,X0,X1)
& coll(X5,X0,X1) )
=> eqangle(X5,X2,X2,X4,X4,X2,X2,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] :
( ~ eqangle(X5,X2,X2,X4,X4,X2,X2,X3)
& circle(X3,X0,X1,X2)
& eqangle(X4,X2,X2,X1,X4,X2,X2,X0)
& coll(X4,X0,X1)
& perp(X5,X2,X0,X1)
& coll(X5,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X5,X2,X2,X4,X4,X2,X2,X3)
& circle(X3,X0,X1,X2)
& eqangle(X4,X2,X2,X1,X4,X2,X2,X0)
& coll(X4,X0,X1)
& perp(X5,X2,X0,X1)
& coll(X5,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ eqangle(sK25,sK22,sK22,sK24,sK24,sK22,sK22,sK23)
& circle(sK23,sK20,sK21,sK22)
& eqangle(sK24,sK22,sK22,sK21,sK24,sK22,sK22,sK20)
& coll(sK24,sK20,sK21)
& perp(sK25,sK22,sK20,sK21)
& coll(sK25,sK20,sK21) ),
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(f385,plain,
perp(sK25,sK22,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ eqangle(sK25,sK22,sK22,sK24,sK24,sK22,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f391,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(f392,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,[],[f391,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(f426,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,[],[f426]) ).
fof(f444,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f309,f394]) ).
fof(f447,definition,
( spl26_1
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f448,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f450,definition,
( spl26_2
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f451,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f452,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f444,f450,f447]) ).
fof(f457,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f396]) ).
fof(f461,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f457,f451]) ).
fof(f467,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f396]) ).
fof(f471,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f467,f461]) ).
fof(f474,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f471,f451]) ).
fof(f475,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl26_2 ),
inference(resolution,[],[f474,f287]) ).
fof(f481,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f475,f474]) ).
fof(f484,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl26_2 ),
inference(resolution,[],[f481,f433]) ).
fof(f487,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f484,f481]) ).
fof(f489,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f487,f481]) ).
fof(f490,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl26_2 ),
inference(resolution,[],[f489,f327]) ).
fof(f491,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f490,f489]) ).
fof(f510,plain,
perp(sK20,sK21,sK25,sK22),
inference(resolution,[],[f278,f385]) ).
fof(f512,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl26_2 ),
inference(resolution,[],[f278,f491]) ).
fof(f517,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK25,sK22)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[],[f279,f385]) ).
fof(f519,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl26_2 ),
inference(resolution,[],[f279,f491]) ).
fof(f522,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f519,f512]) ).
fof(f523,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X0,X1,X6,X7) )
| ~ spl26_2 ),
inference(resolution,[],[f522,f392]) ).
fof(f525,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f523,f522]) ).
fof(f529,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ spl26_2 ),
inference(resolution,[],[f525,f291]) ).
fof(f543,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X6,X7,X4,X5) )
| ~ spl26_2 ),
inference(resolution,[],[f529,f391]) ).
fof(f547,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f543,f522]) ).
fof(f560,plain,
( $false
| ~ spl26_2 ),
inference(resolution,[],[f547,f389]) ).
fof(f561,plain,
~ spl26_2,
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f565,plain,
para(sK20,sK21,sK20,sK21),
inference(resolution,[],[f517,f510]) ).
fof(f566,plain,
( $false
| ~ spl26_1 ),
inference(forward_subsumption_resolution,[],[f565,f448]) ).
fof(f567,plain,
~ spl26_1,
inference(avatar_contradiction_clause,[],[f566]) ).
cnf(s1,plain,
( spl26_1
| spl26_2 ),
inference(sat_conversion,[],[f452]) ).
cnf(s2,plain,
~ spl26_2,
inference(sat_conversion,[],[f561]) ).
cnf(s3,plain,
~ spl26_1,
inference(sat_conversion,[],[f567]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f568,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO617+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 % Computer : n004.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 08:38:52 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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
% 10.32/2.71 % (3205355)Detected formulas, will run a generic FOF schedule.
% 10.32/2.71 % (3205376)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4206261304:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.32/2.71 % (3205376)Instruction limit reached!
% 10.32/2.71 % (3205376)------------------------------
% 10.32/2.71 % (3205376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.71 % (3205376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.71 % (3205376)CaDiCaL version: 2.1.3
% 10.32/2.71 % (3205376)Termination reason: Instruction limit
% 10.32/2.71 % (3205376)Termination phase: Saturation
% 10.32/2.71 % (3205376)Time elapsed: 0.042 s
% 10.32/2.71 % (3205376)Peak memory usage: 89 MB
% 10.32/2.71 % (3205376)Instructions burned: 111 (million)
% 10.32/2.71 % (3205378)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=305207895:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.32/2.71 % (3205375)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=609104983:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.32/2.71 % (3205373)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=3144583455:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.32/2.71 % (3205374)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=1559058755:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.32/2.71 % (3205377)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1409846591:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.32/2.71 % (3205379)dis-21_1_sil=8000:lcm=predicate:random_seed=3409088252: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)
% 10.32/2.71 % (3205382)lrs+10_1_sil=8000:sp=occurrence:random_seed=3534969887:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.32/2.71 % (3205377)Instruction limit reached!
% 10.32/2.71 % (3205377)------------------------------
% 10.32/2.71 % (3205377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.71 % (3205377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.71 % (3205377)CaDiCaL version: 2.1.3
% 10.32/2.71 % (3205377)Termination reason: Instruction limit
% 10.32/2.71 % (3205377)Termination phase: Saturation
% 10.32/2.71 % (3205377)Time elapsed: 0.109 s
% 10.32/2.71 % (3205377)Peak memory usage: 88 MB
% 10.32/2.71 % (3205377)Instructions burned: 120 (million)
% 10.32/2.71 % (3205378)Instruction limit reached!
% 10.32/2.71 % (3205378)------------------------------
% 10.32/2.71 % (3205378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.71 % (3205378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.71 % (3205378)CaDiCaL version: 2.1.3
% 10.32/2.71 % (3205378)Termination reason: Instruction limit
% 10.32/2.71 % (3205378)Termination phase: Saturation
% 10.32/2.71 % (3205378)Time elapsed: 0.147 s
% 10.32/2.71 % (3205378)Peak memory usage: 90 MB
% 10.32/2.71 % (3205378)Instructions burned: 139 (million)
% 10.32/2.71 % (3205379)Instruction limit reached!
% 10.32/2.71 % (3205379)------------------------------
% 10.32/2.71 % (3205379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.71 % (3205379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.71 % (3205379)CaDiCaL version: 2.1.3
% 10.32/2.71 % (3205379)Termination reason: Instruction limit
% 10.32/2.71 % (3205379)Termination phase: Saturation
% 10.32/2.71 % (3205379)Time elapsed: 0.126 s
% 10.32/2.71 % (3205379)Peak memory usage: 89 MB
% 10.32/2.71 % (3205379)Instructions burned: 129 (million)
% 10.32/2.71 % (3205382)Instruction limit reached!
% 10.32/2.71 % (3205382)------------------------------
% 10.32/2.71 % (3205382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.71 % (3205382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.71 % (3205382)CaDiCaL version: 2.1.3
% 10.32/2.71 % (3205382)Termination reason: Instruction limit
% 10.32/2.71 % (3205382)Termination phase: Saturation
% 10.32/2.71 % (3205382)Time elapsed: 0.164 s
% 10.32/2.71 % (3205382)Peak memory usage: 92 MB
% 10.32/2.71 % (3205382)Instructions burned: 285 (million)
% 10.32/2.71 % (3205389)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3239999146:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 10.32/2.71 % (3205391)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=3369596424:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.32/2.71 % (3205390)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3602381916:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.32/2.71 % (3205389)Instruction limit reached!
% 10.32/2.71 % (3205389)------------------------------
% 10.32/2.71 % (3205389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.71 % (3205389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.71 % (3205389)CaDiCaL version: 2.1.3
% 10.32/2.71 % (3205389)Termination reason: Instruction limit
% 10.32/2.71 % (3205389)Termination phase: Saturation
% 10.32/2.71 % (3205389)Time elapsed: 0.075 s
% 10.32/2.71 % (3205389)Peak memory usage: 88 MB
% 10.32/2.71 % (3205389)Instructions burned: 158 (million)
% 10.32/2.71 % (3205392)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3948889946:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.32/2.71 % (3205396)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=20472105:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.32/2.71 % (3205391)Instruction limit reached!
% 10.32/2.71 % (3205391)------------------------------
% 10.32/2.71 % (3205391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.71 % (3205391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.71 % (3205391)CaDiCaL version: 2.1.3
% 10.32/2.71 % (3205391)Termination reason: Instruction limit
% 10.32/2.71 % (3205391)Termination phase: Saturation
% 10.32/2.71 % (3205391)Time elapsed: 0.233 s
% 10.32/2.71 % (3205391)Peak memory usage: 90 MB
% 10.32/2.71 % (3205391)Instructions burned: 249 (million)
% 10.32/2.71 % (3205392)Instruction limit reached!
% 10.32/2.71 % (3205392)------------------------------
% 10.32/2.71 % (3205392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.71 % (3205392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.71 % (3205392)CaDiCaL version: 2.1.3
% 10.32/2.71 % (3205392)Termination reason: Instruction limit
% 10.32/2.71 % (3205392)Termination phase: Saturation
% 10.32/2.71 % (3205392)Time elapsed: 0.270 s
% 10.32/2.71 % (3205392)Peak memory usage: 89 MB
% 10.32/2.71 % (3205392)Instructions burned: 295 (million)
% 10.32/2.71 % (3205390)Instruction limit reached!
% 10.32/2.71 % (3205390)------------------------------
% 10.32/2.71 % (3205390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.71 % (3205390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.71 % (3205390)CaDiCaL version: 2.1.3
% 10.32/2.71 % (3205390)Termination reason: Instruction limit
% 10.32/2.71 % (3205390)Termination phase: Saturation
% 10.32/2.71 % (3205390)Time elapsed: 0.317 s
% 10.32/2.71 % (3205390)Peak memory usage: 91 MB
% 10.32/2.71 % (3205390)Instructions burned: 325 (million)
% 10.32/2.71 % (3205399)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3795706025:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 10.32/2.71 % (3205403)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2928590421:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 10.32/2.71 % (3205401)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2197004558:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 10.32/2.71 % (3205399)Instruction limit reached!
% 10.32/2.71 % (3205399)------------------------------
% 10.32/2.71 % (3205399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.71 % (3205399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.71 % (3205399)CaDiCaL version: 2.1.3
% 10.32/2.71 % (3205399)Termination reason: Instruction limit
% 10.32/2.71 % (3205399)Termination phase: Saturation
% 10.32/2.71 % (3205399)Time elapsed: 0.111 s
% 10.32/2.71 % (3205399)Peak memory usage: 89 MB
% 10.32/2.71 % (3205399)Instructions burned: 114 (million)
% 10.32/2.71 % (3205403)Instruction limit reached!
% 10.32/2.71 % (3205403)------------------------------
% 10.32/2.71 % (3205403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.71 % (3205403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.71 % (3205403)CaDiCaL version: 2.1.3
% 10.32/2.71 % (3205403)Termination reason: Instruction limit
% 10.32/2.71 % (3205403)Termination phase: Saturation
% 10.32/2.71 % (3205403)Time elapsed: 0.108 s
% 10.32/2.71 % (3205403)Peak memory usage: 89 MB
% 10.32/2.71 % (3205403)Instructions burned: 115 (million)
% 10.32/2.71 % (3205401)Instruction limit reached!
% 10.32/2.71 % (3205401)------------------------------
% 10.32/2.71 % (3205401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.71 % (3205401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.71 % (3205401)CaDiCaL version: 2.1.3
% 10.32/2.71 % (3205401)Termination reason: Instruction limit
% 10.32/2.71 % (3205401)Termination phase: Saturation
% 10.32/2.71 % (3205401)Time elapsed: 0.120 s
% 10.32/2.71 % (3205401)Peak memory usage: 89 MB
% 10.32/2.71 % (3205401)Instructions burned: 128 (million)
% 10.32/2.71 % (3205373)First to succeed.
% 10.32/2.71 % (3205373)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3205355"
% 10.32/2.71 % (3205396)Also succeeded, but the first one will report.
% 10.32/2.71 % (3205374)Also succeeded, but the first one will report.
% 10.32/2.71 % (3205407)lrs+10_1_sil=8000:sp=occurrence:random_seed=4255710633:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 10.32/2.71 % (3205409)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1742509609:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 10.32/2.71 % (3205408)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=68411802:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 10.32/2.71 % (3205373)Refutation found. Thanks to Tanya!
% 10.32/2.71 % SZS status Theorem for theBenchmark
% 10.32/2.71 % SZS output start Proof for theBenchmark
% See solution above
% 12.68/2.86 % (3205373)------------------------------
% 12.68/2.86 % (3205373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.86 % (3205373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.86 % (3205373)CaDiCaL version: 2.1.3
% 12.68/2.86 % (3205373)Termination reason: Refutation
% 12.68/2.86 % (3205373)Time elapsed: 1.066 s
% 12.68/2.86 % (3205373)Peak memory usage: 131 MB
% 12.68/2.86 % (3205373)Instructions burned: 989 (million)
% 12.68/2.86 % (3205373)------------------------------
% 12.68/2.86 % (3205373)------------------------------
% 12.68/2.86 % (3205355)Success in time 1.715 s
% 12.68/2.86 % Vampire exiting
%------------------------------------------------------------------------------