%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO562+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 : n016.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 09:52:56 AM UTC 2026
% Result : Theorem 5.94s 1.69s
% Output : Refutation 7.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 10 unt; 2 def)
% Number of atoms : 284 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 306 ( 119 ~; 113 |; 57 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 453 ( 0 sgn 431 !; 22 ?)
% 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,X8,X9,X10] :
( ( circle(X3,X0,X1,X2)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X4,X9)
& coll(X5,X1,X3)
& coll(X5,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X8,X0,X4)
& coll(X8,X1,X6) )
=> eqangle(X0,X8,X8,X1,X1,X2,X2,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214023) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( circle(X3,X0,X1,X2)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X4,X9)
& coll(X5,X1,X3)
& coll(X5,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X8,X0,X4)
& coll(X8,X1,X6) )
=> eqangle(X0,X8,X8,X1,X1,X2,X2,X6) ),
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,X8,X9,X10] :
( ~ eqangle(X0,X8,X8,X1,X1,X2,X2,X6)
& circle(X3,X0,X1,X2)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X4,X9)
& coll(X5,X1,X3)
& coll(X5,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X8,X0,X4)
& coll(X8,X1,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ eqangle(X0,X8,X8,X1,X1,X2,X2,X6)
& circle(X3,X0,X1,X2)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X4,X9)
& coll(X5,X1,X3)
& coll(X5,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X8,X0,X4)
& coll(X8,X1,X6) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,sK26)
& circle(sK23,sK20,sK21,sK22)
& perp(sK21,sK23,sK20,sK24)
& circle(sK23,sK20,sK24,sK29)
& coll(sK25,sK21,sK23)
& coll(sK25,sK20,sK24)
& circle(sK23,sK20,sK26,sK30)
& coll(sK27,sK20,sK24)
& coll(sK27,sK21,sK22)
& coll(sK28,sK20,sK24)
& coll(sK28,sK21,sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30)],[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(f392,plain,
perp(sK21,sK23,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f396,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(f397,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,[],[f396,f310]) ).
fof(f398,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(f401,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,[],[f398]) ).
fof(f409,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(f428,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(f443,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f309,f409]) ).
fof(f446,definition,
( spl31_1
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f447,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl31_1 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f449,definition,
( spl31_2
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f450,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f451,plain,
( spl31_1
| spl31_2 ),
inference(avatar_split_clause,[],[f443,f449,f446]) ).
fof(f456,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f428]) ).
fof(f460,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f456,f450]) ).
fof(f466,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f428]) ).
fof(f470,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f466,f460]) ).
fof(f473,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f470,f450]) ).
fof(f474,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl31_2 ),
inference(resolution,[],[f473,f287]) ).
fof(f480,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl31_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) )
| ~ spl31_2 ),
inference(resolution,[],[f480,f401]) ).
fof(f486,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f483,f480]) ).
fof(f488,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f486,f480]) ).
fof(f489,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl31_2 ),
inference(resolution,[],[f488,f327]) ).
fof(f490,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f489,f488]) ).
fof(f516,plain,
perp(sK20,sK24,sK21,sK23),
inference(resolution,[],[f278,f392]) ).
fof(f519,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl31_2 ),
inference(resolution,[],[f278,f490]) ).
fof(f524,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl31_2 ),
inference(resolution,[],[f279,f490]) ).
fof(f528,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK21,sK23)
| para(X0,X1,sK20,sK24) ),
inference(resolution,[],[f279,f392]) ).
fof(f530,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f524,f519]) ).
fof(f531,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X0,X1,X6,X7) )
| ~ spl31_2 ),
inference(resolution,[],[f530,f397]) ).
fof(f533,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f531,f530]) ).
fof(f537,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ spl31_2 ),
inference(resolution,[],[f533,f291]) ).
fof(f551,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X6,X7,X4,X5) )
| ~ spl31_2 ),
inference(resolution,[],[f537,f396]) ).
fof(f555,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f551,f530]) ).
fof(f568,plain,
( $false
| ~ spl31_2 ),
inference(resolution,[],[f555,f394]) ).
fof(f569,plain,
~ spl31_2,
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f575,plain,
para(sK20,sK24,sK20,sK24),
inference(resolution,[],[f528,f516]) ).
fof(f576,plain,
( $false
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f575,f447]) ).
fof(f577,plain,
~ spl31_1,
inference(avatar_contradiction_clause,[],[f576]) ).
cnf(s1,plain,
( spl31_1
| spl31_2 ),
inference(sat_conversion,[],[f451]) ).
cnf(s2,plain,
~ spl31_2,
inference(sat_conversion,[],[f569]) ).
cnf(s3,plain,
~ spl31_1,
inference(sat_conversion,[],[f577]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f578,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO562+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n016.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 08:36:02 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
% 5.94/1.69 % (2323677)Detected formulas, will run a generic FOF schedule.
% 5.94/1.69 % (2323687)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1728498554:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.94/1.69 % (2323686)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1319751763:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.94/1.69 % (2323685)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2490054871:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.94/1.69 % (2323682)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=1642729163:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.94/1.69 % (2323688)dis-21_1_sil=8000:lcm=predicate:random_seed=4066022808: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)
% 5.94/1.69 % (2323684)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=4175474109:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.94/1.69 % (2323683)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=690267323:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.94/1.69 % (2323687)Instruction limit reached!
% 5.94/1.69 % (2323687)------------------------------
% 5.94/1.69 % (2323687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323687)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323687)Termination reason: Instruction limit
% 5.94/1.69 % (2323687)Termination phase: Saturation
% 5.94/1.69 % (2323687)Time elapsed: 0.048 s
% 5.94/1.69 % (2323687)Peak memory usage: 90 MB
% 5.94/1.69 % (2323687)Instructions burned: 140 (million)
% 5.94/1.69 % (2323685)Refutation not found, incomplete strategy
% 5.94/1.69 % (2323685)------------------------------
% 5.94/1.69 % (2323685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323685)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323685)Termination reason: Refutation not found, incomplete strategy
% 5.94/1.69 % (2323685)Time elapsed: 0.057 s
% 5.94/1.69 % (2323685)Peak memory usage: 89 MB
% 5.94/1.69 % (2323685)Instructions burned: 106 (million)
% 5.94/1.69 % (2323686)Instruction limit reached!
% 5.94/1.69 % (2323686)------------------------------
% 5.94/1.69 % (2323686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323686)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323686)Termination reason: Instruction limit
% 5.94/1.69 % (2323686)Termination phase: Saturation
% 5.94/1.69 % (2323686)Time elapsed: 0.069 s
% 5.94/1.69 % (2323686)Peak memory usage: 88 MB
% 5.94/1.69 % (2323686)Instructions burned: 120 (million)
% 5.94/1.69 % (2323688)Instruction limit reached!
% 5.94/1.69 % (2323688)------------------------------
% 5.94/1.69 % (2323688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323688)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323688)Termination reason: Instruction limit
% 5.94/1.69 % (2323688)Termination phase: Saturation
% 5.94/1.69 % (2323688)Time elapsed: 0.074 s
% 5.94/1.69 % (2323688)Peak memory usage: 89 MB
% 5.94/1.69 % (2323688)Instructions burned: 129 (million)
% 5.94/1.69 % (2323696)lrs+10_1_sil=8000:sp=occurrence:random_seed=1700287008:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.94/1.69 % (2323697)lrs+10_1_sil=32000:urr=on:br=off:random_seed=759555660:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.94/1.69 % (2323698)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3218904606:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.94/1.69 % (2323696)Instruction limit reached!
% 5.94/1.69 % (2323696)------------------------------
% 5.94/1.69 % (2323696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323696)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323696)Termination reason: Instruction limit
% 5.94/1.69 % (2323696)Termination phase: Saturation
% 5.94/1.69 % (2323696)Time elapsed: 0.101 s
% 5.94/1.69 % (2323696)Peak memory usage: 92 MB
% 5.94/1.69 % (2323696)Instructions burned: 288 (million)
% 5.94/1.69 % (2323697)Instruction limit reached!
% 5.94/1.69 % (2323697)------------------------------
% 5.94/1.69 % (2323697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323697)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323697)Termination reason: Instruction limit
% 5.94/1.69 % (2323697)Termination phase: Saturation
% 5.94/1.69 % (2323697)Time elapsed: 0.082 s
% 5.94/1.69 % (2323697)Peak memory usage: 89 MB
% 5.94/1.69 % (2323697)Instructions burned: 158 (million)
% 5.94/1.69 % (2323685)------------------------------
% 5.94/1.69 % (2323685)------------------------------
% 5.94/1.69 % (2323702)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=56885033:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.94/1.69 % (2323702)Instruction limit reached!
% 5.94/1.69 % (2323702)------------------------------
% 5.94/1.69 % (2323702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323702)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323702)Termination reason: Instruction limit
% 5.94/1.69 % (2323702)Termination phase: Saturation
% 5.94/1.69 % (2323702)Time elapsed: 0.076 s
% 5.94/1.69 % (2323702)Peak memory usage: 91 MB
% 5.94/1.69 % (2323702)Instructions burned: 250 (million)
% 5.94/1.69 % (2323703)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3135815754:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.94/1.69 % (2323698)Instruction limit reached!
% 5.94/1.69 % (2323698)------------------------------
% 5.94/1.69 % (2323698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323698)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323698)Termination reason: Instruction limit
% 5.94/1.69 % (2323698)Termination phase: Saturation
% 5.94/1.69 % (2323698)Time elapsed: 0.216 s
% 5.94/1.69 % (2323698)Peak memory usage: 92 MB
% 5.94/1.69 % (2323698)Instructions burned: 326 (million)
% 5.94/1.69 % (2323704)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1562285498:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.94/1.69 % (2323706)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1128099774:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.94/1.69 % (2323706)Instruction limit reached!
% 5.94/1.69 % (2323706)------------------------------
% 5.94/1.69 % (2323706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323706)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323706)Termination reason: Instruction limit
% 5.94/1.69 % (2323706)Termination phase: Saturation
% 5.94/1.69 % (2323706)Time elapsed: 0.035 s
% 5.94/1.69 % (2323706)Peak memory usage: 89 MB
% 5.94/1.69 % (2323706)Instructions burned: 114 (million)
% 5.94/1.69 % (2323708)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2084695912:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.94/1.69 % (2323703)Instruction limit reached!
% 5.94/1.69 % (2323703)------------------------------
% 5.94/1.69 % (2323703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323703)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323703)Termination reason: Instruction limit
% 5.94/1.69 % (2323703)Termination phase: Saturation
% 5.94/1.69 % (2323703)Time elapsed: 0.168 s
% 5.94/1.69 % (2323703)Peak memory usage: 89 MB
% 5.94/1.69 % (2323703)Instructions burned: 294 (million)
% 5.94/1.69 % (2323711)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=371909184:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.94/1.69 % (2323708)Instruction limit reached!
% 5.94/1.69 % (2323708)------------------------------
% 5.94/1.69 % (2323708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323708)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323708)Termination reason: Instruction limit
% 5.94/1.69 % (2323708)Termination phase: Saturation
% 5.94/1.69 % (2323708)Time elapsed: 0.071 s
% 5.94/1.69 % (2323708)Peak memory usage: 89 MB
% 5.94/1.69 % (2323708)Instructions burned: 128 (million)
% 5.94/1.69 % (2323711)Instruction limit reached!
% 5.94/1.69 % (2323711)------------------------------
% 5.94/1.69 % (2323711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323711)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323711)Termination reason: Instruction limit
% 5.94/1.69 % (2323711)Termination phase: Saturation
% 5.94/1.69 % (2323711)Time elapsed: 0.034 s
% 5.94/1.69 % (2323711)Peak memory usage: 89 MB
% 5.94/1.69 % (2323711)Instructions burned: 117 (million)
% 5.94/1.69 % (2323682)First to succeed.
% 5.94/1.69 % (2323682)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2323677"
% 5.94/1.69 % (2323683)Also succeeded, but the first one will report.
% 5.94/1.69 % (2323713)lrs+10_1_sil=8000:sp=occurrence:random_seed=4061904436:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.94/1.69 % (2323715)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1534980612:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.94/1.69 % (2323716)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3426436742:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.94/1.69 % (2323715)Instruction limit reached!
% 5.94/1.69 % (2323715)------------------------------
% 5.94/1.69 % (2323715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.69 % (2323715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.69 % (2323715)CaDiCaL version: 2.1.3
% 5.94/1.69 % (2323715)Termination reason: Instruction limit
% 5.94/1.69 % (2323715)Termination phase: Saturation
% 5.94/1.69 % (2323715)Time elapsed: 0.134 s
% 5.94/1.69 % (2323715)Peak memory usage: 91 MB
% 5.94/1.69 % (2323715)Instructions burned: 441 (million)
% 5.94/1.69 % (2323682)Refutation found. Thanks to Tanya!
% 5.94/1.69 % SZS status Theorem for theBenchmark
% 5.94/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 7.75/1.78 % (2323682)------------------------------
% 7.75/1.78 % (2323682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/1.78 % (2323682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.78 % (2323682)CaDiCaL version: 2.1.3
% 7.75/1.78 % (2323682)Termination reason: Refutation
% 7.75/1.78 % (2323682)Time elapsed: 0.665 s
% 7.75/1.78 % (2323682)Peak memory usage: 131 MB
% 7.75/1.78 % (2323682)Instructions burned: 989 (million)
% 7.75/1.78 % (2323682)------------------------------
% 7.75/1.78 % (2323682)------------------------------
% 7.75/1.78 % (2323677)Success in time 1.076 s
% 7.75/1.78 % Vampire exiting
%------------------------------------------------------------------------------