%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO578+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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:58 AM UTC 2026
% Result : Theorem 6.77s 1.96s
% Output : Refutation 8.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 18
% Syntax : Number of formulae : 103 ( 10 unt; 2 def)
% Number of atoms : 276 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 300 ( 127 ~; 122 |; 32 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 399 ( 0 sgn 389 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& para(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD6) ).
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(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).
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] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& para(X0,X1,X4,X3)
& coll(X4,X0,X2) )
=> cong(X4,X3,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214040) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& para(X0,X1,X4,X3)
& coll(X4,X0,X2) )
=> cong(X4,X3,X4,X0) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(flattening,[],[f104]) ).
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(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
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] :
( ~ cong(X4,X3,X4,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& para(X0,X1,X4,X3)
& coll(X4,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4] :
( ~ cong(X4,X3,X4,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& para(X0,X1,X4,X3)
& coll(X4,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cong(sK24,sK23,sK24,sK20)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& para(sK20,sK21,sK24,sK23)
& coll(sK24,sK20,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24)],[f250]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
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(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
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,
para(sK20,sK21,sK24,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ cong(sK24,sK23,sK24,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f390,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(f391,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,[],[f390]) ).
fof(f394,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(f401,plain,
para(sK24,sK23,sK20,sK21),
inference(resolution,[],[f275,f385]) ).
fof(f412,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(f416,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f412,f309]) ).
fof(f420,definition,
( spl25_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f421,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f423,definition,
( spl25_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f424,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f425,plain,
( spl25_1
| spl25_2 ),
inference(avatar_split_clause,[],[f416,f423,f420]) ).
fof(f440,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,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f440,f312]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f440,f313]) ).
fof(f471,plain,
! [X0,X1] :
( ~ para(X0,X1,sK20,sK21)
| para(X0,X1,sK24,sK23) ),
inference(resolution,[],[f276,f385]) ).
fof(f474,plain,
para(sK24,sK23,sK24,sK23),
inference(resolution,[],[f471,f401]) ).
fof(f475,plain,
( $false
| ~ spl25_2 ),
inference(forward_subsumption_resolution,[],[f474,f424]) ).
fof(f476,plain,
~ spl25_2,
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f477,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f444,f421]) ).
fof(f478,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f443,f421]) ).
fof(f479,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f478,f477]) ).
fof(f486,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl25_1 ),
inference(resolution,[],[f479,f287]) ).
fof(f490,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f486,f479]) ).
fof(f493,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl25_1 ),
inference(resolution,[],[f490,f391]) ).
fof(f495,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) )
| ~ spl25_1 ),
inference(resolution,[],[f490,f394]) ).
fof(f496,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f495,f490]) ).
fof(f497,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f493,f490]) ).
fof(f498,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f496,f490]) ).
fof(f499,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f497,f490]) ).
fof(f500,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl25_1 ),
inference(resolution,[],[f499,f327]) ).
fof(f504,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f500,f499]) ).
fof(f540,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl25_1 ),
inference(resolution,[],[f279,f504]) ).
fof(f658,plain,
( ! [X2,X0,X1] : para(X0,X0,X1,X2)
| ~ spl25_1 ),
inference(resolution,[],[f540,f504]) ).
fof(f669,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
| ~ spl25_1 ),
inference(resolution,[],[f658,f498]) ).
fof(f686,plain,
( ! [X2,X0,X1] : cong(X0,X1,X1,X2)
| ~ spl25_1 ),
inference(resolution,[],[f669,f293]) ).
fof(f691,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X0)
| ~ spl25_1 ),
inference(resolution,[],[f686,f294]) ).
fof(f699,plain,
( ! [X2,X0,X1] : cong(X0,X1,X0,X2)
| ~ spl25_1 ),
inference(resolution,[],[f691,f293]) ).
fof(f703,plain,
( $false
| ~ spl25_1 ),
inference(resolution,[],[f699,f389]) ).
fof(f710,plain,
~ spl25_1,
inference(avatar_contradiction_clause,[],[f703]) ).
cnf(s1,plain,
( spl25_1
| spl25_2 ),
inference(sat_conversion,[],[f425]) ).
cnf(s2,plain,
~ spl25_2,
inference(sat_conversion,[],[f476]) ).
cnf(s3,plain,
~ spl25_1,
inference(sat_conversion,[],[f710]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f712,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO578+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 08:35:38 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 6.77/1.96 % (2030521)Detected formulas, will run a generic FOF schedule.
% 6.77/1.96 % (2030527)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=4019673266:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.77/1.96 % (2030532)dis-21_1_sil=8000:lcm=predicate:random_seed=392052046:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.77/1.96 % (2030530)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4174086864:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.77/1.96 % (2030529)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2467250849:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.77/1.96 % (2030526)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=1159970160:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.77/1.96 % (2030528)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=1362849251:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.77/1.96 % (2030531)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2365698857:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.77/1.96 % (2030530)Instruction limit reached!
% 6.77/1.96 % (2030530)------------------------------
% 6.77/1.96 % (2030530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.96 % (2030530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.96 % (2030530)CaDiCaL version: 2.1.3
% 6.77/1.96 % (2030530)Termination reason: Instruction limit
% 6.77/1.96 % (2030530)Termination phase: Saturation
% 6.77/1.96 % (2030530)Time elapsed: 0.065 s
% 6.77/1.96 % (2030530)Peak memory usage: 88 MB
% 6.77/1.96 % (2030530)Instructions burned: 120 (million)
% 6.77/1.96 % (2030529)Instruction limit reached!
% 6.77/1.96 % (2030529)------------------------------
% 6.77/1.96 % (2030529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.96 % (2030529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.96 % (2030529)CaDiCaL version: 2.1.3
% 6.77/1.96 % (2030529)Termination reason: Instruction limit
% 6.77/1.96 % (2030529)Termination phase: Saturation
% 6.77/1.96 % (2030529)Time elapsed: 0.067 s
% 6.77/1.96 % (2030529)Peak memory usage: 89 MB
% 6.77/1.96 % (2030529)Instructions burned: 109 (million)
% 6.77/1.96 % (2030532)Instruction limit reached!
% 6.77/1.96 % (2030532)------------------------------
% 6.77/1.96 % (2030532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.96 % (2030532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.96 % (2030532)CaDiCaL version: 2.1.3
% 6.77/1.96 % (2030532)Termination reason: Instruction limit
% 6.77/1.96 % (2030532)Termination phase: Saturation
% 6.77/1.96 % (2030532)Time elapsed: 0.076 s
% 6.77/1.96 % (2030532)Peak memory usage: 89 MB
% 6.77/1.96 % (2030532)Instructions burned: 130 (million)
% 6.77/1.96 % (2030531)Instruction limit reached!
% 6.77/1.96 % (2030531)------------------------------
% 6.77/1.96 % (2030531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.96 % (2030531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.96 % (2030531)CaDiCaL version: 2.1.3
% 6.77/1.96 % (2030531)Termination reason: Instruction limit
% 6.77/1.96 % (2030531)Termination phase: Saturation
% 6.77/1.96 % (2030531)Time elapsed: 0.078 s
% 6.77/1.96 % (2030531)Peak memory usage: 89 MB
% 6.77/1.96 % (2030531)Instructions burned: 139 (million)
% 6.77/1.96 % (2030541)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3215906509:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.77/1.96 % (2030540)lrs+10_1_sil=8000:sp=occurrence:random_seed=675351341:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.77/1.96 % (2030543)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=1921930300:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.77/1.96 % (2030542)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1243295476:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.77/1.96 % (2030541)Instruction limit reached!
% 6.77/1.96 % (2030541)------------------------------
% 6.77/1.96 % (2030541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.96 % (2030541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.96 % (2030541)CaDiCaL version: 2.1.3
% 6.77/1.96 % (2030541)Termination reason: Instruction limit
% 6.77/1.96 % (2030541)Termination phase: Saturation
% 6.77/1.96 % (2030541)Time elapsed: 0.083 s
% 6.77/1.96 % (2030541)Peak memory usage: 90 MB
% 6.77/1.96 % (2030541)Instructions burned: 157 (million)
% 6.77/1.96 % (2030543)Instruction limit reached!
% 6.77/1.96 % (2030543)------------------------------
% 6.77/1.96 % (2030543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.96 % (2030543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.96 % (2030543)CaDiCaL version: 2.1.3
% 6.77/1.96 % (2030543)Termination reason: Instruction limit
% 6.77/1.96 % (2030543)Termination phase: Saturation
% 6.77/1.96 % (2030543)Time elapsed: 0.131 s
% 6.77/1.96 % (2030543)Peak memory usage: 90 MB
% 6.77/1.96 % (2030543)Instructions burned: 249 (million)
% 6.77/1.96 % (2030540)Instruction limit reached!
% 6.77/1.96 % (2030540)------------------------------
% 6.77/1.96 % (2030540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.96 % (2030540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.96 % (2030540)CaDiCaL version: 2.1.3
% 6.77/1.96 % (2030540)Termination reason: Instruction limit
% 6.77/1.96 % (2030540)Termination phase: Saturation
% 6.77/1.96 % (2030540)Time elapsed: 0.172 s
% 6.77/1.96 % (2030540)Peak memory usage: 91 MB
% 6.77/1.96 % (2030540)Instructions burned: 286 (million)
% 6.77/1.96 % (2030542)Instruction limit reached!
% 6.77/1.96 % (2030542)------------------------------
% 6.77/1.96 % (2030542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.96 % (2030542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.96 % (2030542)CaDiCaL version: 2.1.3
% 6.77/1.96 % (2030542)Termination reason: Instruction limit
% 6.77/1.96 % (2030542)Termination phase: Saturation
% 6.77/1.96 % (2030542)Time elapsed: 0.185 s
% 6.77/1.96 % (2030542)Peak memory usage: 90 MB
% 6.77/1.96 % (2030542)Instructions burned: 325 (million)
% 6.77/1.96 % (2030548)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=936732725:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.77/1.96 % (2030549)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3531651222:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.77/1.96 % (2030550)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=969392186:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.77/1.96 % (2030551)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=456736816:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.77/1.96 % (2030550)Instruction limit reached!
% 6.77/1.96 % (2030550)------------------------------
% 6.77/1.96 % (2030550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.96 % (2030550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.96 % (2030550)CaDiCaL version: 2.1.3
% 6.77/1.96 % (2030550)Termination reason: Instruction limit
% 6.77/1.96 % (2030550)Termination phase: Saturation
% 6.77/1.96 % (2030550)Time elapsed: 0.062 s
% 6.77/1.96 % (2030550)Peak memory usage: 89 MB
% 6.77/1.96 % (2030550)Instructions burned: 113 (million)
% 6.77/1.96 % (2030548)Instruction limit reached!
% 6.77/1.96 % (2030548)------------------------------
% 6.77/1.96 % (2030548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.96 % (2030548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.96 % (2030548)CaDiCaL version: 2.1.3
% 6.77/1.96 % (2030548)Termination reason: Instruction limit
% 6.77/1.96 % (2030548)Termination phase: Saturation
% 6.77/1.96 % (2030548)Time elapsed: 0.164 s
% 6.77/1.96 % (2030548)Peak memory usage: 89 MB
% 6.77/1.96 % (2030548)Instructions burned: 295 (million)
% 6.77/1.96 % (2030551)Instruction limit reached!
% 6.77/1.96 % (2030551)------------------------------
% 6.77/1.96 % (2030551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.96 % (2030551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.96 % (2030551)CaDiCaL version: 2.1.3
% 6.77/1.96 % (2030551)Termination reason: Instruction limit
% 6.77/1.96 % (2030551)Termination phase: Saturation
% 6.77/1.96 % (2030551)Time elapsed: 0.070 s
% 6.77/1.96 % (2030551)Peak memory usage: 89 MB
% 6.77/1.96 % (2030551)Instructions burned: 128 (million)
% 6.77/1.96 % (2030526)First to succeed.
% 6.77/1.96 % (2030526)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2030521"
% 6.77/1.96 % (2030556)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1538847198:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.77/1.96 % (2030557)lrs+10_1_sil=8000:sp=occurrence:random_seed=823762689:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.77/1.96 % (2030556)Instruction limit reached!
% 6.77/1.96 % (2030556)------------------------------
% 6.77/1.96 % (2030556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.96 % (2030556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.96 % (2030556)CaDiCaL version: 2.1.3
% 6.77/1.96 % (2030556)Termination reason: Instruction limit
% 6.77/1.96 % (2030556)Termination phase: Saturation
% 6.77/1.96 % (2030556)Time elapsed: 0.059 s
% 6.77/1.96 % (2030556)Peak memory usage: 89 MB
% 6.77/1.96 % (2030556)Instructions burned: 115 (million)
% 6.77/1.96 % (2030558)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3347184317:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.77/1.96 % (2030526)Refutation found. Thanks to Tanya!
% 6.77/1.96 % SZS status Theorem for theBenchmark
% 6.77/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.39/2.14 % (2030526)------------------------------
% 8.39/2.14 % (2030526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.39/2.14 % (2030526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/2.14 % (2030526)CaDiCaL version: 2.1.3
% 8.39/2.14 % (2030526)Termination reason: Refutation
% 8.39/2.14 % (2030526)Time elapsed: 0.672 s
% 8.39/2.14 % (2030526)Peak memory usage: 130 MB
% 8.39/2.14 % (2030526)Instructions burned: 1017 (million)
% 8.39/2.14 % (2030526)------------------------------
% 8.39/2.14 % (2030526)------------------------------
% 8.39/2.14 % (2030521)Success in time 1.104 s
% 8.39/2.14 % Vampire exiting
%------------------------------------------------------------------------------