%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO598+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:53:01 AM UTC 2026
% Result : Theorem 5.56s 1.72s
% Output : Refutation 8.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 16
% Syntax : Number of formulae : 96 ( 10 unt; 2 def)
% Number of atoms : 270 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 290 ( 116 ~; 110 |; 47 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 446 ( 0 sgn 426 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& midp(X5,X0,X2)
& midp(X6,X1,X0)
& coll(X7,X3,X6)
& circle(X3,X0,X7,X9)
& perp(X8,X7,X0,X2)
& coll(X8,X0,X2) )
=> eqangle(X5,X6,X6,X8,X8,X6,X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416060) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& midp(X5,X0,X2)
& midp(X6,X1,X0)
& coll(X7,X3,X6)
& circle(X3,X0,X7,X9)
& perp(X8,X7,X0,X2)
& coll(X8,X0,X2) )
=> eqangle(X5,X6,X6,X8,X8,X6,X6,X4) ),
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] :
( ~ eqangle(X5,X6,X6,X8,X8,X6,X6,X4)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& midp(X5,X0,X2)
& midp(X6,X1,X0)
& coll(X7,X3,X6)
& circle(X3,X0,X7,X9)
& perp(X8,X7,X0,X2)
& coll(X8,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ eqangle(X5,X6,X6,X8,X8,X6,X6,X4)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& midp(X5,X0,X2)
& midp(X6,X1,X0)
& coll(X7,X3,X6)
& circle(X3,X0,X7,X9)
& perp(X8,X7,X0,X2)
& coll(X8,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ eqangle(sK25,sK26,sK26,sK28,sK28,sK26,sK26,sK24)
& circle(sK23,sK20,sK21,sK22)
& midp(sK24,sK22,sK21)
& midp(sK25,sK20,sK22)
& midp(sK26,sK21,sK20)
& coll(sK27,sK23,sK26)
& circle(sK23,sK20,sK27,sK29)
& perp(sK28,sK27,sK20,sK22)
& coll(sK28,sK20,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),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)],[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(sK28,sK27,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ eqangle(sK25,sK26,sK26,sK28,sK28,sK26,sK26,sK24),
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(f440,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f426]) ).
fof(f447,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f309,f407]) ).
fof(f450,definition,
( spl30_1
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f451,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f453,definition,
( spl30_2
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f454,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f455,plain,
( spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f447,f453,f450]) ).
fof(f460,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f426]) ).
fof(f464,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) ),
inference(forward_subsumption_resolution,[],[f460,f440]) ).
fof(f467,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f464,f454]) ).
fof(f468,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl30_2 ),
inference(resolution,[],[f467,f287]) ).
fof(f474,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f468,f467]) ).
fof(f477,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl30_2 ),
inference(resolution,[],[f474,f399]) ).
fof(f480,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f477,f474]) ).
fof(f482,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f480,f474]) ).
fof(f483,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl30_2 ),
inference(resolution,[],[f482,f327]) ).
fof(f484,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f483,f482]) ).
fof(f490,plain,
perp(sK20,sK22,sK28,sK27),
inference(resolution,[],[f278,f385]) ).
fof(f492,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl30_2 ),
inference(resolution,[],[f278,f484]) ).
fof(f506,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl30_2 ),
inference(resolution,[],[f279,f484]) ).
fof(f510,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK28,sK27)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f279,f385]) ).
fof(f512,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f506,f492]) ).
fof(f513,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X0,X1,X6,X7) )
| ~ spl30_2 ),
inference(resolution,[],[f512,f395]) ).
fof(f516,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f513,f512]) ).
fof(f520,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ spl30_2 ),
inference(resolution,[],[f516,f291]) ).
fof(f539,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X6,X7,X4,X5) )
| ~ spl30_2 ),
inference(resolution,[],[f520,f394]) ).
fof(f543,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f539,f512]) ).
fof(f556,plain,
( $false
| ~ spl30_2 ),
inference(resolution,[],[f543,f392]) ).
fof(f557,plain,
~ spl30_2,
inference(avatar_contradiction_clause,[],[f556]) ).
fof(f563,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f510,f490]) ).
fof(f564,plain,
( $false
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f563,f451]) ).
fof(f565,plain,
~ spl30_1,
inference(avatar_contradiction_clause,[],[f564]) ).
cnf(s1,plain,
( spl30_1
| spl30_2 ),
inference(sat_conversion,[],[f455]) ).
cnf(s2,plain,
~ spl30_2,
inference(sat_conversion,[],[f557]) ).
cnf(s3,plain,
~ spl30_1,
inference(sat_conversion,[],[f565]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f566,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO598+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 08:42:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.56/1.72 % (3250035)Detected formulas, will run a generic FOF schedule.
% 5.56/1.72 % (3250041)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=4214516804:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.56/1.72 % (3250043)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2361779035:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.56/1.72 % (3250045)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=775430249:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.56/1.72 % (3250046)dis-21_1_sil=8000:lcm=predicate:random_seed=2608077481: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)
% 5.56/1.72 % (3250042)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=3167124132:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.56/1.72 % (3250044)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2195259655:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.56/1.72 % (3250040)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=2807356386:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.56/1.72 % (3250045)Instruction limit reached!
% 5.56/1.72 % (3250045)------------------------------
% 5.56/1.72 % (3250045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.72 % (3250045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.72 % (3250045)CaDiCaL version: 2.1.3
% 5.56/1.72 % (3250045)Termination reason: Instruction limit
% 5.56/1.72 % (3250045)Termination phase: Saturation
% 5.56/1.72 % (3250045)Time elapsed: 0.053 s
% 5.56/1.72 % (3250045)Peak memory usage: 89 MB
% 5.56/1.72 % (3250045)Instructions burned: 140 (million)
% 5.56/1.72 % (3250043)Refutation not found, incomplete strategy
% 5.56/1.72 % (3250043)------------------------------
% 5.56/1.72 % (3250043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.72 % (3250043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.72 % (3250043)CaDiCaL version: 2.1.3
% 5.56/1.72 % (3250043)Termination reason: Refutation not found, incomplete strategy
% 5.56/1.72 % (3250043)Time elapsed: 0.061 s
% 5.56/1.72 % (3250043)Peak memory usage: 89 MB
% 5.56/1.72 % (3250043)Instructions burned: 111 (million)
% 5.56/1.72 % (3250044)Instruction limit reached!
% 5.56/1.72 % (3250044)------------------------------
% 5.56/1.72 % (3250044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.72 % (3250044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.72 % (3250044)CaDiCaL version: 2.1.3
% 5.56/1.72 % (3250044)Termination reason: Instruction limit
% 5.56/1.72 % (3250044)Termination phase: Saturation
% 5.56/1.72 % (3250044)Time elapsed: 0.069 s
% 5.56/1.72 % (3250044)Peak memory usage: 88 MB
% 5.56/1.72 % (3250044)Instructions burned: 120 (million)
% 5.56/1.72 % (3250046)Instruction limit reached!
% 5.56/1.72 % (3250046)------------------------------
% 5.56/1.72 % (3250046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.72 % (3250046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.72 % (3250046)CaDiCaL version: 2.1.3
% 5.56/1.72 % (3250046)Termination reason: Instruction limit
% 5.56/1.72 % (3250046)Termination phase: Saturation
% 5.56/1.72 % (3250046)Time elapsed: 0.073 s
% 5.56/1.72 % (3250046)Peak memory usage: 89 MB
% 5.56/1.72 % (3250046)Instructions burned: 130 (million)
% 5.56/1.72 % (3250054)lrs+10_1_sil=8000:sp=occurrence:random_seed=2138105931:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.56/1.72 % (3250056)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1129707184:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.56/1.72 % (3250055)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2900970457:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.56/1.72 % (3250054)Instruction limit reached!
% 5.56/1.72 % (3250054)------------------------------
% 5.56/1.72 % (3250054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.72 % (3250054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.72 % (3250054)CaDiCaL version: 2.1.3
% 5.56/1.72 % (3250054)Termination reason: Instruction limit
% 5.56/1.72 % (3250054)Termination phase: Saturation
% 5.56/1.72 % (3250054)Time elapsed: 0.099 s
% 5.56/1.72 % (3250054)Peak memory usage: 93 MB
% 5.56/1.72 % (3250054)Instructions burned: 285 (million)
% 5.56/1.72 % (3250043)------------------------------
% 5.56/1.72 % (3250043)------------------------------
% 5.56/1.72 % (3250055)Instruction limit reached!
% 5.56/1.72 % (3250055)------------------------------
% 5.56/1.72 % (3250055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.72 % (3250055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.72 % (3250055)CaDiCaL version: 2.1.3
% 5.56/1.72 % (3250055)Termination reason: Instruction limit
% 5.56/1.72 % (3250055)Termination phase: Saturation
% 5.56/1.72 % (3250055)Time elapsed: 0.084 s
% 5.56/1.72 % (3250055)Peak memory usage: 90 MB
% 5.56/1.72 % (3250055)Instructions burned: 158 (million)
% 5.56/1.72 % (3250060)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=162118006:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.56/1.72 % (3250056)Instruction limit reached!
% 5.56/1.72 % (3250056)------------------------------
% 5.56/1.72 % (3250056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.72 % (3250056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.72 % (3250056)CaDiCaL version: 2.1.3
% 5.56/1.72 % (3250056)Termination reason: Instruction limit
% 5.56/1.72 % (3250056)Termination phase: Saturation
% 5.56/1.72 % (3250056)Time elapsed: 0.195 s
% 5.56/1.72 % (3250056)Peak memory usage: 91 MB
% 5.56/1.72 % (3250056)Instructions burned: 326 (million)
% 5.56/1.72 % (3250060)Instruction limit reached!
% 5.56/1.72 % (3250060)------------------------------
% 5.56/1.72 % (3250060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.72 % (3250060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.72 % (3250060)CaDiCaL version: 2.1.3
% 5.56/1.72 % (3250060)Termination reason: Instruction limit
% 5.56/1.72 % (3250060)Termination phase: Saturation
% 5.56/1.72 % (3250060)Time elapsed: 0.069 s
% 5.56/1.72 % (3250060)Peak memory usage: 92 MB
% 5.56/1.72 % (3250060)Instructions burned: 250 (million)
% 5.56/1.72 % (3250061)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1822514520:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.56/1.72 % (3250062)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=172301643:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.56/1.72 % (3250066)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=676763052:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.56/1.72 % (3250064)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3240626549:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.56/1.72 % (3250066)Instruction limit reached!
% 5.56/1.72 % (3250066)------------------------------
% 5.56/1.72 % (3250066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.72 % (3250066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.72 % (3250066)CaDiCaL version: 2.1.3
% 5.56/1.72 % (3250066)Termination reason: Instruction limit
% 5.56/1.72 % (3250066)Termination phase: Saturation
% 5.56/1.72 % (3250066)Time elapsed: 0.038 s
% 5.56/1.72 % (3250066)Peak memory usage: 89 MB
% 5.56/1.72 % (3250066)Instructions burned: 127 (million)
% 5.56/1.72 % (3250061)Instruction limit reached!
% 5.56/1.72 % (3250061)------------------------------
% 5.56/1.72 % (3250061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.72 % (3250061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.72 % (3250061)CaDiCaL version: 2.1.3
% 5.56/1.72 % (3250061)Termination reason: Instruction limit
% 5.56/1.72 % (3250061)Termination phase: Saturation
% 5.56/1.72 % (3250061)Time elapsed: 0.166 s
% 5.56/1.72 % (3250061)Peak memory usage: 89 MB
% 5.56/1.72 % (3250061)Instructions burned: 294 (million)
% 5.56/1.72 % (3250064)Instruction limit reached!
% 5.56/1.72 % (3250064)------------------------------
% 5.56/1.72 % (3250064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.72 % (3250064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.72 % (3250064)CaDiCaL version: 2.1.3
% 5.56/1.72 % (3250064)Termination reason: Instruction limit
% 5.56/1.72 % (3250064)Termination phase: Saturation
% 5.56/1.72 % (3250064)Time elapsed: 0.067 s
% 5.56/1.72 % (3250064)Peak memory usage: 90 MB
% 5.56/1.72 % (3250064)Instructions burned: 115 (million)
% 5.56/1.72 % (3250040)First to succeed.
% 5.56/1.72 % (3250040)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3250035"
% 5.56/1.72 % (3250041)Also succeeded, but the first one will report.
% 5.56/1.72 % (3250070)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1149209542:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.56/1.72 % (3250071)lrs+10_1_sil=8000:sp=occurrence:random_seed=2561064339:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.56/1.72 % (3250072)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4258623177:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 5.56/1.72 % (3250070)Instruction limit reached!
% 5.56/1.72 % (3250070)------------------------------
% 5.56/1.72 % (3250070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.72 % (3250070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.72 % (3250070)CaDiCaL version: 2.1.3
% 5.56/1.72 % (3250070)Termination reason: Instruction limit
% 5.56/1.72 % (3250070)Termination phase: Saturation
% 5.56/1.72 % (3250070)Time elapsed: 0.067 s
% 5.56/1.72 % (3250070)Peak memory usage: 89 MB
% 5.56/1.72 % (3250070)Instructions burned: 114 (million)
% 5.56/1.72 % (3250040)Refutation found. Thanks to Tanya!
% 5.56/1.72 % SZS status Theorem for theBenchmark
% 5.56/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 8.06/1.81 % (3250040)------------------------------
% 8.06/1.81 % (3250040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.81 % (3250040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.81 % (3250040)CaDiCaL version: 2.1.3
% 8.06/1.81 % (3250040)Termination reason: Refutation
% 8.06/1.81 % (3250040)Time elapsed: 0.667 s
% 8.06/1.81 % (3250040)Peak memory usage: 130 MB
% 8.06/1.81 % (3250040)Instructions burned: 989 (million)
% 8.06/1.81 % (3250040)------------------------------
% 8.06/1.81 % (3250040)------------------------------
% 8.06/1.81 % (3250035)Success in time 1.101 s
% 8.06/1.81 % Vampire exiting
%------------------------------------------------------------------------------