%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO658+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 : n015.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 09:53:10 AM UTC 2026
% Result : Theorem 6.62s 1.98s
% Output : Refutation 8.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 93 ( 10 unt; 2 def)
% Number of atoms : 277 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 294 ( 110 ~; 104 |; 62 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 379 ( 0 sgn 361 !; 18 ?)
% 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(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(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] :
( ( para(X0,X1,X2,X3)
& para(X0,X2,X1,X3)
& coll(X4,X0,X2)
& perp(X5,X4,X2,X3)
& coll(X5,X2,X3)
& perp(X6,X4,X1,X2)
& coll(X6,X1,X2)
& coll(X7,X4,X6)
& coll(X7,X0,X3)
& coll(X8,X4,X5)
& coll(X8,X0,X1) )
=> para(X6,X5,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02316) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( para(X0,X1,X2,X3)
& para(X0,X2,X1,X3)
& coll(X4,X0,X2)
& perp(X5,X4,X2,X3)
& coll(X5,X2,X3)
& perp(X6,X4,X1,X2)
& coll(X6,X1,X2)
& coll(X7,X4,X6)
& coll(X7,X0,X3)
& coll(X8,X4,X5)
& coll(X8,X0,X1) )
=> para(X6,X5,X7,X8) ),
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(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(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] :
( ~ para(X6,X5,X7,X8)
& para(X0,X1,X2,X3)
& para(X0,X2,X1,X3)
& coll(X4,X0,X2)
& perp(X5,X4,X2,X3)
& coll(X5,X2,X3)
& perp(X6,X4,X1,X2)
& coll(X6,X1,X2)
& coll(X7,X4,X6)
& coll(X7,X0,X3)
& coll(X8,X4,X5)
& coll(X8,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X6,X5,X7,X8)
& para(X0,X1,X2,X3)
& para(X0,X2,X1,X3)
& coll(X4,X0,X2)
& perp(X5,X4,X2,X3)
& coll(X5,X2,X3)
& perp(X6,X4,X1,X2)
& coll(X6,X1,X2)
& coll(X7,X4,X6)
& coll(X7,X0,X3)
& coll(X8,X4,X5)
& coll(X8,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK26,sK25,sK27,sK28)
& para(sK20,sK21,sK22,sK23)
& para(sK20,sK22,sK21,sK23)
& coll(sK24,sK20,sK22)
& perp(sK25,sK24,sK22,sK23)
& coll(sK25,sK22,sK23)
& perp(sK26,sK24,sK21,sK22)
& coll(sK26,sK21,sK22)
& coll(sK27,sK24,sK26)
& coll(sK27,sK20,sK23)
& coll(sK28,sK24,sK25)
& coll(sK28,sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),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)],[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(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(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(f394,plain,
para(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
~ para(sK26,sK25,sK27,sK28),
inference(cnf_transformation,[],[f270]) ).
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(f400,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(f412,plain,
para(sK22,sK23,sK20,sK21),
inference(resolution,[],[f394,f275]) ).
fof(f414,plain,
! [X0,X1] :
( ~ para(X0,X1,sK20,sK21)
| para(X0,X1,sK22,sK23) ),
inference(resolution,[],[f394,f276]) ).
fof(f421,plain,
para(sK22,sK23,sK22,sK23),
inference(resolution,[],[f414,f412]) ).
fof(f429,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(f432,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f429,f309]) ).
fof(f436,definition,
( spl29_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f437,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,definition,
( spl29_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f440,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f432,f439,f436]) ).
fof(f453,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(f470,plain,
( $false
| ~ spl29_2 ),
inference(resolution,[],[f421,f440]) ).
fof(f471,plain,
~ spl29_2,
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f485,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f453]) ).
fof(f489,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f485,f437]) ).
fof(f507,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f453]) ).
fof(f511,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f507,f489]) ).
fof(f515,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f511,f437]) ).
fof(f517,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl29_1 ),
inference(resolution,[],[f515,f287]) ).
fof(f521,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f517,f515]) ).
fof(f524,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl29_1 ),
inference(resolution,[],[f521,f400]) ).
fof(f528,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f524,f521]) ).
fof(f530,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f528,f521]) ).
fof(f531,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl29_1 ),
inference(resolution,[],[f530,f327]) ).
fof(f532,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f531,f530]) ).
fof(f533,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl29_1 ),
inference(resolution,[],[f532,f278]) ).
fof(f535,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl29_1 ),
inference(resolution,[],[f532,f279]) ).
fof(f550,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl29_1 ),
inference(resolution,[],[f533,f535]) ).
fof(f556,plain,
( $false
| ~ spl29_1 ),
inference(resolution,[],[f550,f395]) ).
fof(f557,plain,
~ spl29_1,
inference(avatar_contradiction_clause,[],[f556]) ).
cnf(s1,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f441]) ).
cnf(s2,plain,
~ spl29_2,
inference(sat_conversion,[],[f471]) ).
cnf(s3,plain,
~ spl29_1,
inference(sat_conversion,[],[f557]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f558,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO658+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n015.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 08:48:01 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 6.62/1.97 % (1354046)Detected formulas, will run a generic FOF schedule.
% 6.62/1.97 % (1354053)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=132639873:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.62/1.97 % (1354054)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2766630613:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.62/1.97 % (1354056)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=192844706:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.62/1.97 % (1354051)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=244193088:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.62/1.97 % (1354055)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3573217313:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.62/1.97 % (1354052)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=3861267146:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.62/1.97 % (1354057)dis-21_1_sil=8000:lcm=predicate:random_seed=1247852293: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)
% 6.62/1.97 % (1354056)Instruction limit reached!
% 6.62/1.97 % (1354056)------------------------------
% 6.62/1.97 % (1354056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.97 % (1354056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.97 % (1354056)CaDiCaL version: 2.1.3
% 6.62/1.97 % (1354056)Termination reason: Instruction limit
% 6.62/1.97 % (1354056)Termination phase: Saturation
% 6.62/1.97 % (1354056)Time elapsed: 0.059 s
% 6.62/1.97 % (1354056)Peak memory usage: 88 MB
% 6.62/1.97 % (1354056)Instructions burned: 140 (million)
% 6.62/1.97 % (1354055)Instruction limit reached!
% 6.62/1.97 % (1354055)------------------------------
% 6.62/1.97 % (1354055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.97 % (1354055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.97 % (1354055)CaDiCaL version: 2.1.3
% 6.62/1.97 % (1354055)Termination reason: Instruction limit
% 6.62/1.97 % (1354055)Termination phase: Saturation
% 6.62/1.97 % (1354055)Time elapsed: 0.064 s
% 6.62/1.97 % (1354055)Peak memory usage: 88 MB
% 6.62/1.97 % (1354055)Instructions burned: 119 (million)
% 6.62/1.97 % (1354054)Instruction limit reached!
% 6.62/1.97 % (1354054)------------------------------
% 6.62/1.97 % (1354054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.97 % (1354054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.97 % (1354054)CaDiCaL version: 2.1.3
% 6.62/1.97 % (1354054)Termination reason: Instruction limit
% 6.62/1.97 % (1354054)Termination phase: Saturation
% 6.62/1.97 % (1354054)Time elapsed: 0.067 s
% 6.62/1.97 % (1354054)Peak memory usage: 89 MB
% 6.62/1.97 % (1354054)Instructions burned: 109 (million)
% 6.62/1.97 % (1354057)Instruction limit reached!
% 6.62/1.97 % (1354057)------------------------------
% 6.62/1.97 % (1354057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.97 % (1354057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.97 % (1354057)CaDiCaL version: 2.1.3
% 6.62/1.97 % (1354057)Termination reason: Instruction limit
% 6.62/1.97 % (1354057)Termination phase: Saturation
% 6.62/1.97 % (1354057)Time elapsed: 0.076 s
% 6.62/1.97 % (1354057)Peak memory usage: 89 MB
% 6.62/1.97 % (1354057)Instructions burned: 130 (million)
% 6.62/1.97 % (1354066)lrs+10_1_sil=32000:urr=on:br=off:random_seed=632364165:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.62/1.97 % (1354067)lrs+1011_1_sil=32000:sp=occurrence:random_seed=369438549:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.62/1.97 % (1354065)lrs+10_1_sil=8000:sp=occurrence:random_seed=2234228701:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.62/1.97 % (1354068)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=284587212:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.62/1.97 % (1354066)Instruction limit reached!
% 6.62/1.97 % (1354066)------------------------------
% 6.62/1.97 % (1354066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.97 % (1354066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.97 % (1354066)CaDiCaL version: 2.1.3
% 6.62/1.97 % (1354066)Termination reason: Instruction limit
% 6.62/1.97 % (1354066)Termination phase: Saturation
% 6.62/1.97 % (1354066)Time elapsed: 0.082 s
% 6.62/1.97 % (1354066)Peak memory usage: 89 MB
% 6.62/1.97 % (1354066)Instructions burned: 158 (million)
% 6.62/1.97 % (1354067)Instruction limit reached!
% 6.62/1.97 % (1354067)------------------------------
% 6.62/1.97 % (1354067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.97 % (1354067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.97 % (1354067)CaDiCaL version: 2.1.3
% 6.62/1.97 % (1354067)Termination reason: Instruction limit
% 6.62/1.97 % (1354067)Termination phase: Saturation
% 6.62/1.97 % (1354067)Time elapsed: 0.149 s
% 6.62/1.97 % (1354067)Peak memory usage: 90 MB
% 6.62/1.97 % (1354067)Instructions burned: 326 (million)
% 6.62/1.97 % (1354065)Instruction limit reached!
% 6.62/1.97 % (1354065)------------------------------
% 6.62/1.97 % (1354065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.97 % (1354065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.97 % (1354065)CaDiCaL version: 2.1.3
% 6.62/1.97 % (1354065)Termination reason: Instruction limit
% 6.62/1.97 % (1354065)Termination phase: Saturation
% 6.62/1.97 % (1354065)Time elapsed: 0.159 s
% 6.62/1.97 % (1354065)Peak memory usage: 92 MB
% 6.62/1.97 % (1354065)Instructions burned: 286 (million)
% 6.62/1.97 % (1354068)Instruction limit reached!
% 6.62/1.97 % (1354068)------------------------------
% 6.62/1.97 % (1354068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.97 % (1354068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.97 % (1354068)CaDiCaL version: 2.1.3
% 6.62/1.97 % (1354068)Termination reason: Instruction limit
% 6.62/1.97 % (1354068)Termination phase: Saturation
% 6.62/1.97 % (1354068)Time elapsed: 0.135 s
% 6.62/1.97 % (1354068)Peak memory usage: 90 MB
% 6.62/1.97 % (1354068)Instructions burned: 249 (million)
% 6.62/1.97 % (1354073)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4098113014:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.62/1.97 % (1354074)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3062747948:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.62/1.97 % (1354075)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3730738346:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.62/1.97 % (1354076)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2183928767:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.62/1.97 % (1354075)Instruction limit reached!
% 6.62/1.97 % (1354075)------------------------------
% 6.62/1.97 % (1354075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.97 % (1354075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.97 % (1354075)CaDiCaL version: 2.1.3
% 6.62/1.97 % (1354075)Termination reason: Instruction limit
% 6.62/1.97 % (1354075)Termination phase: Saturation
% 6.62/1.97 % (1354075)Time elapsed: 0.060 s
% 6.62/1.97 % (1354075)Peak memory usage: 89 MB
% 6.62/1.97 % (1354075)Instructions burned: 114 (million)
% 6.62/1.97 % (1354076)Instruction limit reached!
% 6.62/1.97 % (1354076)------------------------------
% 6.62/1.97 % (1354076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.97 % (1354076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.97 % (1354076)CaDiCaL version: 2.1.3
% 6.62/1.97 % (1354076)Termination reason: Instruction limit
% 6.62/1.97 % (1354076)Termination phase: Saturation
% 6.62/1.97 % (1354076)Time elapsed: 0.068 s
% 6.62/1.97 % (1354076)Peak memory usage: 89 MB
% 6.62/1.97 % (1354076)Instructions burned: 127 (million)
% 6.62/1.97 % (1354073)Instruction limit reached!
% 6.62/1.97 % (1354073)------------------------------
% 6.62/1.97 % (1354073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.97 % (1354073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.97 % (1354073)CaDiCaL version: 2.1.3
% 6.62/1.97 % (1354073)Termination reason: Instruction limit
% 6.62/1.97 % (1354073)Termination phase: Saturation
% 6.62/1.98 % (1354073)Time elapsed: 0.165 s
% 6.62/1.98 % (1354073)Peak memory usage: 89 MB
% 6.62/1.98 % (1354073)Instructions burned: 294 (million)
% 6.62/1.98 % (1354051)First to succeed.
% 6.62/1.98 % (1354051)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1354046"
% 6.62/1.98 % (1354081)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=576234038:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.62/1.98 % (1354082)lrs+10_1_sil=8000:sp=occurrence:random_seed=4212718636:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.62/1.98 % (1354083)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=6688683:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.62/1.98 % (1354081)Instruction limit reached!
% 6.62/1.98 % (1354081)------------------------------
% 6.62/1.98 % (1354081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.98 % (1354081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.98 % (1354081)CaDiCaL version: 2.1.3
% 6.62/1.98 % (1354081)Termination reason: Instruction limit
% 6.62/1.98 % (1354081)Termination phase: Saturation
% 6.62/1.98 % (1354081)Time elapsed: 0.060 s
% 6.62/1.98 % (1354081)Peak memory usage: 89 MB
% 6.62/1.98 % (1354081)Instructions burned: 115 (million)
% 6.62/1.98 % (1354051)Refutation found. Thanks to Tanya!
% 6.62/1.98 % SZS status Theorem for theBenchmark
% 6.62/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 8.29/2.17 % (1354051)------------------------------
% 8.29/2.17 % (1354051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.17 % (1354051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.17 % (1354051)CaDiCaL version: 2.1.3
% 8.29/2.17 % (1354051)Termination reason: Refutation
% 8.29/2.17 % (1354051)Time elapsed: 0.656 s
% 8.29/2.17 % (1354051)Peak memory usage: 131 MB
% 8.29/2.17 % (1354051)Instructions burned: 991 (million)
% 8.29/2.17 % (1354051)------------------------------
% 8.29/2.17 % (1354051)------------------------------
% 8.29/2.17 % (1354046)Success in time 1.089 s
% 8.29/2.17 % Vampire exiting
%------------------------------------------------------------------------------