%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO590+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 : n011.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 09:53:00 AM UTC 2026
% Result : Theorem 4.56s 1.62s
% Output : Refutation 5.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 100 ( 10 unt; 2 def)
% Number of atoms : 274 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 299 ( 125 ~; 119 |; 37 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 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 : 395 ( 0 sgn 383 !; 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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X0,X1,X2,X3)
& cong(X2,X3,X4,X5) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X0,X2,X1)
& midp(X3,X1,X0)
& perp(X0,X1,X0,X4)
& perp(X2,X3,X2,X4)
& coll(X5,X0,X4)
& coll(X5,X1,X2) )
=> cong(X4,X2,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416052) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X0,X2,X1)
& midp(X3,X1,X0)
& perp(X0,X1,X0,X4)
& perp(X2,X3,X2,X4)
& coll(X5,X0,X4)
& coll(X5,X1,X2) )
=> cong(X4,X2,X4,X5) ),
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(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(flattening,[],[f130]) ).
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] :
( ~ cong(X4,X2,X4,X5)
& perp(X2,X0,X2,X1)
& midp(X3,X1,X0)
& perp(X0,X1,X0,X4)
& perp(X2,X3,X2,X4)
& coll(X5,X0,X4)
& coll(X5,X1,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X4,X2,X4,X5)
& perp(X2,X0,X2,X1)
& midp(X3,X1,X0)
& perp(X0,X1,X0,X4)
& perp(X2,X3,X2,X4)
& coll(X5,X0,X4)
& coll(X5,X1,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cong(sK24,sK22,sK24,sK25)
& perp(sK22,sK20,sK22,sK21)
& midp(sK23,sK21,sK20)
& perp(sK20,sK21,sK20,sK24)
& perp(sK22,sK23,sK22,sK24)
& coll(sK25,sK20,sK24)
& coll(sK25,sK21,sK22) ),
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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
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(f386,plain,
perp(sK22,sK23,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ cong(sK24,sK22,sK24,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f391,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(f392,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,[],[f391]) ).
fof(f393,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ para(X0,X1,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| cong(X1,X3,X2,X3) ),
inference(resolution,[],[f310,f314]) ).
fof(f400,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(f415,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,
perp(sK22,sK24,sK22,sK23),
inference(resolution,[],[f278,f386]) ).
fof(f433,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f415]) ).
fof(f439,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK23)
| para(X0,X1,sK22,sK24) ),
inference(resolution,[],[f279,f386]) ).
fof(f444,plain,
para(sK22,sK24,sK22,sK24),
inference(resolution,[],[f439,f426]) ).
fof(f453,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f309,f400]) ).
fof(f455,definition,
( spl26_1
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f456,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f458,definition,
( spl26_2
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f459,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f460,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f453,f458,f455]) ).
fof(f465,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f415]) ).
fof(f468,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) ),
inference(forward_subsumption_resolution,[],[f465,f433]) ).
fof(f471,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f468,f459]) ).
fof(f473,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl26_2 ),
inference(resolution,[],[f471,f287]) ).
fof(f477,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f473,f471]) ).
fof(f480,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl26_2 ),
inference(resolution,[],[f477,f392]) ).
fof(f482,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X2)
| cong(X0,X1,X3,X1) )
| ~ spl26_2 ),
inference(resolution,[],[f477,f393]) ).
fof(f483,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f482,f477]) ).
fof(f484,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f480,f477]) ).
fof(f485,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f483,f477]) ).
fof(f486,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f484,f477]) ).
fof(f487,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl26_2 ),
inference(resolution,[],[f486,f327]) ).
fof(f489,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f487,f486]) ).
fof(f490,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl26_2 ),
inference(resolution,[],[f489,f279]) ).
fof(f491,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl26_2 ),
inference(resolution,[],[f489,f278]) ).
fof(f496,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl26_2 ),
inference(forward_subsumption_resolution,[],[f490,f491]) ).
fof(f504,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
| ~ spl26_2 ),
inference(resolution,[],[f485,f496]) ).
fof(f506,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X3) )
| ~ spl26_2 ),
inference(resolution,[],[f504,f295]) ).
fof(f528,plain,
( ! [X2,X0,X1] : cong(X0,X1,X1,X2)
| ~ spl26_2 ),
inference(resolution,[],[f293,f504]) ).
fof(f532,plain,
( ! [X2,X3,X0,X1] : cong(X0,X1,X2,X3)
| ~ spl26_2 ),
inference(resolution,[],[f528,f506]) ).
fof(f534,plain,
( $false
| ~ spl26_2 ),
inference(resolution,[],[f532,f390]) ).
fof(f539,plain,
~ spl26_2,
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f540,plain,
( $false
| ~ spl26_1 ),
inference(resolution,[],[f456,f444]) ).
fof(f541,plain,
~ spl26_1,
inference(avatar_contradiction_clause,[],[f540]) ).
cnf(s1,plain,
( spl26_1
| spl26_2 ),
inference(sat_conversion,[],[f460]) ).
cnf(s2,plain,
~ spl26_2,
inference(sat_conversion,[],[f539]) ).
cnf(s3,plain,
~ spl26_1,
inference(sat_conversion,[],[f541]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f542,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO590+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n011.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 08:35:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.56/1.62 % (2097050)Detected formulas, will run a generic FOF schedule.
% 4.56/1.62 % (2097055)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=255862343:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.56/1.62 % (2097056)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=1618465223:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.56/1.62 % (2097058)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3433241012:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.56/1.62 % (2097060)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4061915908:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.56/1.62 % (2097059)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2423018926:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.56/1.62 % (2097057)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=1862478432:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.56/1.62 % (2097061)dis-21_1_sil=8000:lcm=predicate:random_seed=3163220997: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)
% 4.56/1.62 % (2097058)Instruction limit reached!
% 4.56/1.62 % (2097058)------------------------------
% 4.56/1.62 % (2097058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.62 % (2097058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.62 % (2097058)CaDiCaL version: 2.1.3
% 4.56/1.62 % (2097058)Termination reason: Instruction limit
% 4.56/1.62 % (2097058)Termination phase: Saturation
% 4.56/1.62 % (2097058)Time elapsed: 0.068 s
% 4.56/1.62 % (2097058)Peak memory usage: 90 MB
% 4.56/1.62 % (2097058)Instructions burned: 110 (million)
% 4.56/1.62 % (2097059)Instruction limit reached!
% 4.56/1.62 % (2097059)------------------------------
% 4.56/1.62 % (2097059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.62 % (2097059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.62 % (2097059)CaDiCaL version: 2.1.3
% 4.56/1.62 % (2097059)Termination reason: Instruction limit
% 4.56/1.62 % (2097059)Termination phase: Saturation
% 4.56/1.62 % (2097059)Time elapsed: 0.070 s
% 4.56/1.62 % (2097059)Peak memory usage: 88 MB
% 4.56/1.62 % (2097059)Instructions burned: 120 (million)
% 4.56/1.62 % (2097061)Instruction limit reached!
% 4.56/1.62 % (2097061)------------------------------
% 4.56/1.62 % (2097061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.62 % (2097061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.62 % (2097061)CaDiCaL version: 2.1.3
% 4.56/1.62 % (2097061)Termination reason: Instruction limit
% 4.56/1.62 % (2097061)Termination phase: Saturation
% 4.56/1.62 % (2097061)Time elapsed: 0.072 s
% 4.56/1.62 % (2097061)Peak memory usage: 89 MB
% 4.56/1.62 % (2097061)Instructions burned: 129 (million)
% 4.56/1.62 % (2097060)Instruction limit reached!
% 4.56/1.62 % (2097060)------------------------------
% 4.56/1.62 % (2097060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.62 % (2097060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.62 % (2097060)CaDiCaL version: 2.1.3
% 4.56/1.62 % (2097060)Termination reason: Instruction limit
% 4.56/1.62 % (2097060)Termination phase: Saturation
% 4.56/1.62 % (2097060)Time elapsed: 0.099 s
% 4.56/1.62 % (2097060)Peak memory usage: 90 MB
% 4.56/1.62 % (2097060)Instructions burned: 140 (million)
% 4.56/1.62 % (2097069)lrs+10_1_sil=8000:sp=occurrence:random_seed=3451188793:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.56/1.62 % (2097070)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3429531241:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.56/1.62 % (2097071)lrs+1011_1_sil=32000:sp=occurrence:random_seed=253560662:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.56/1.62 % (2097072)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=1012180503:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.56/1.62 % (2097070)Instruction limit reached!
% 4.56/1.62 % (2097070)------------------------------
% 4.56/1.62 % (2097070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.62 % (2097070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.62 % (2097070)CaDiCaL version: 2.1.3
% 4.56/1.62 % (2097070)Termination reason: Instruction limit
% 4.56/1.62 % (2097070)Termination phase: Saturation
% 4.56/1.62 % (2097070)Time elapsed: 0.083 s
% 4.56/1.62 % (2097070)Peak memory usage: 90 MB
% 4.56/1.62 % (2097070)Instructions burned: 157 (million)
% 4.56/1.62 % (2097072)Instruction limit reached!
% 4.56/1.62 % (2097072)------------------------------
% 4.56/1.62 % (2097072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.62 % (2097072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.62 % (2097072)CaDiCaL version: 2.1.3
% 4.56/1.62 % (2097072)Termination reason: Instruction limit
% 4.56/1.62 % (2097072)Termination phase: Saturation
% 4.56/1.62 % (2097072)Time elapsed: 0.138 s
% 4.56/1.62 % (2097072)Peak memory usage: 91 MB
% 4.56/1.62 % (2097072)Instructions burned: 249 (million)
% 4.56/1.62 % (2097055)First to succeed.
% 4.56/1.62 % (2097055)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2097050"
% 4.56/1.62 % (2097069)Instruction limit reached!
% 4.56/1.62 % (2097069)------------------------------
% 4.56/1.62 % (2097069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.62 % (2097069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.62 % (2097069)CaDiCaL version: 2.1.3
% 4.56/1.62 % (2097069)Termination reason: Instruction limit
% 4.56/1.62 % (2097069)Termination phase: Saturation
% 4.56/1.62 % (2097069)Time elapsed: 0.178 s
% 4.56/1.62 % (2097069)Peak memory usage: 92 MB
% 4.56/1.62 % (2097069)Instructions burned: 285 (million)
% 4.56/1.62 % (2097077)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=109571524:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.56/1.62 % (2097071)Instruction limit reached!
% 4.56/1.62 % (2097071)------------------------------
% 4.56/1.62 % (2097071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.62 % (2097071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.62 % (2097071)CaDiCaL version: 2.1.3
% 4.56/1.62 % (2097071)Termination reason: Instruction limit
% 4.56/1.62 % (2097071)Termination phase: Saturation
% 4.56/1.62 % (2097071)Time elapsed: 0.213 s
% 4.56/1.62 % (2097071)Peak memory usage: 92 MB
% 4.56/1.62 % (2097071)Instructions burned: 326 (million)
% 4.56/1.62 % (2097078)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2860310257:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.56/1.62 % (2097079)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=436850075:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.56/1.62 % (2097081)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=376435872:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.56/1.62 % (2097079)Instruction limit reached!
% 4.56/1.62 % (2097079)------------------------------
% 4.56/1.62 % (2097079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.62 % (2097079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.62 % (2097079)CaDiCaL version: 2.1.3
% 4.56/1.62 % (2097079)Termination reason: Instruction limit
% 4.56/1.62 % (2097079)Termination phase: Saturation
% 4.56/1.62 % (2097079)Time elapsed: 0.065 s
% 4.56/1.62 % (2097079)Peak memory usage: 90 MB
% 4.56/1.62 % (2097079)Instructions burned: 114 (million)
% 4.56/1.62 % (2097077)Instruction limit reached!
% 4.56/1.62 % (2097077)------------------------------
% 4.56/1.62 % (2097077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.62 % (2097077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.62 % (2097077)CaDiCaL version: 2.1.3
% 4.56/1.62 % (2097077)Termination reason: Instruction limit
% 4.56/1.62 % (2097077)Termination phase: Saturation
% 4.56/1.62 % (2097077)Time elapsed: 0.167 s
% 4.56/1.62 % (2097077)Peak memory usage: 89 MB
% 4.56/1.62 % (2097077)Instructions burned: 294 (million)
% 4.56/1.62 % (2097055)Refutation found. Thanks to Tanya!
% 4.56/1.62 % SZS status Theorem for theBenchmark
% 4.56/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 5.97/1.71 % (2097055)------------------------------
% 5.97/1.71 % (2097055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.71 % (2097055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.71 % (2097055)CaDiCaL version: 2.1.3
% 5.97/1.71 % (2097055)Termination reason: Refutation
% 5.97/1.71 % (2097055)Time elapsed: 0.415 s
% 5.97/1.71 % (2097055)Peak memory usage: 130 MB
% 5.97/1.71 % (2097055)Instructions burned: 985 (million)
% 5.97/1.71 % (2097055)------------------------------
% 5.97/1.71 % (2097055)------------------------------
% 5.97/1.71 % (2097050)Success in time 0.775 s
% 5.97/1.71 % Vampire exiting
%------------------------------------------------------------------------------