%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO653+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:53:10 AM UTC 2026
% Result : Theorem 6.48s 1.95s
% Output : Refutation 8.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 10 unt; 2 def)
% Number of atoms : 285 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 312 ( 124 ~; 119 |; 52 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 390 ( 0 sgn 374 !; 16 ?)
% 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(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] :
( ( para(X0,X1,X2,X3)
& para(X0,X2,X1,X3)
& coll(X4,X2,X3)
& para(X0,X3,X5,X4)
& coll(X5,X0,X1)
& coll(X6,X3,X5)
& coll(X6,X0,X4)
& coll(X7,X1,X4)
& coll(X7,X2,X5) )
=> para(X6,X7,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0227) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X0,X1,X2,X3)
& para(X0,X2,X1,X3)
& coll(X4,X2,X3)
& para(X0,X3,X5,X4)
& coll(X5,X0,X1)
& coll(X6,X3,X5)
& coll(X6,X0,X4)
& coll(X7,X1,X4)
& coll(X7,X2,X5) )
=> para(X6,X7,X0,X1) ),
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(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] :
( ~ para(X6,X7,X0,X1)
& para(X0,X1,X2,X3)
& para(X0,X2,X1,X3)
& coll(X4,X2,X3)
& para(X0,X3,X5,X4)
& coll(X5,X0,X1)
& coll(X6,X3,X5)
& coll(X6,X0,X4)
& coll(X7,X1,X4)
& coll(X7,X2,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X6,X7,X0,X1)
& para(X0,X1,X2,X3)
& para(X0,X2,X1,X3)
& coll(X4,X2,X3)
& para(X0,X3,X5,X4)
& coll(X5,X0,X1)
& coll(X6,X3,X5)
& coll(X6,X0,X4)
& coll(X7,X1,X4)
& coll(X7,X2,X5) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK26,sK27,sK20,sK21)
& para(sK20,sK21,sK22,sK23)
& para(sK20,sK22,sK21,sK23)
& coll(sK24,sK22,sK23)
& para(sK20,sK23,sK25,sK24)
& coll(sK25,sK20,sK21)
& coll(sK26,sK23,sK25)
& coll(sK26,sK20,sK24)
& coll(sK27,sK21,sK24)
& coll(sK27,sK22,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[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(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(f391,plain,
para(sK20,sK22,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ para(sK26,sK27,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
para(sK21,sK23,sK20,sK22),
inference(resolution,[],[f391,f275]) ).
fof(f396,plain,
! [X0,X1] :
( ~ para(X0,X1,sK20,sK22)
| para(X0,X1,sK21,sK23) ),
inference(resolution,[],[f391,f276]) ).
fof(f403,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(f404,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,[],[f403]) ).
fof(f418,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(f426,plain,
para(sK21,sK23,sK21,sK23),
inference(resolution,[],[f396,f394]) ).
fof(f454,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(f458,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f454,f309]) ).
fof(f462,definition,
( spl28_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f463,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f465,definition,
( spl28_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f466,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f467,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f458,f465,f462]) ).
fof(f468,plain,
( $false
| ~ spl28_2 ),
inference(resolution,[],[f466,f426]) ).
fof(f473,plain,
~ spl28_2,
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f502,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(f505,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f502,f312]) ).
fof(f506,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f502,f313]) ).
fof(f513,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f506,f463]) ).
fof(f514,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f505,f463]) ).
fof(f515,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f514,f513]) ).
fof(f517,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl28_1 ),
inference(resolution,[],[f515,f287]) ).
fof(f521,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl28_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) )
| ~ spl28_1 ),
inference(resolution,[],[f521,f404]) ).
fof(f526,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) )
| ~ spl28_1 ),
inference(resolution,[],[f521,f418]) ).
fof(f527,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f526,f521]) ).
fof(f528,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f524,f521]) ).
fof(f529,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f527,f521]) ).
fof(f530,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f528,f521]) ).
fof(f531,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl28_1 ),
inference(resolution,[],[f530,f327]) ).
fof(f532,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f531,f530]) ).
fof(f534,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl28_1 ),
inference(resolution,[],[f532,f279]) ).
fof(f535,plain,
( ! [X2,X0,X1] : para(X0,X0,X1,X2)
| ~ spl28_1 ),
inference(resolution,[],[f534,f532]) ).
fof(f554,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
| ~ spl28_1 ),
inference(resolution,[],[f529,f535]) ).
fof(f558,plain,
( ! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3) )
| ~ spl28_1 ),
inference(resolution,[],[f554,f327]) ).
fof(f559,plain,
( ! [X2,X3,X0,X1] : perp(X0,X2,X1,X3)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f558,f554]) ).
fof(f562,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl28_1 ),
inference(resolution,[],[f559,f534]) ).
fof(f571,plain,
( $false
| ~ spl28_1 ),
inference(resolution,[],[f562,f393]) ).
fof(f572,plain,
~ spl28_1,
inference(avatar_contradiction_clause,[],[f571]) ).
cnf(s1,plain,
( spl28_1
| spl28_2 ),
inference(sat_conversion,[],[f467]) ).
cnf(s4,plain,
~ spl28_2,
inference(sat_conversion,[],[f473]) ).
cnf(s5,plain,
~ spl28_1,
inference(sat_conversion,[],[f572]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s4,s5]) ).
fof(f573,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO653+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n016.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 08:49:02 UTC 2026
% 0.12/0.40 % 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
% 6.48/1.95 % (2331501)Detected formulas, will run a generic FOF schedule.
% 6.48/1.95 % (2331509)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1388372039:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.48/1.95 % (2331509)Instruction limit reached!
% 6.48/1.95 % (2331509)------------------------------
% 6.48/1.95 % (2331509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331509)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331509)Termination reason: Instruction limit
% 6.48/1.95 % (2331509)Termination phase: Saturation
% 6.48/1.95 % (2331509)Time elapsed: 0.036 s
% 6.48/1.95 % (2331509)Peak memory usage: 89 MB
% 6.48/1.95 % (2331509)Instructions burned: 111 (million)
% 6.48/1.95 % (2331510)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1809860356:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.48/1.95 % (2331512)dis-21_1_sil=8000:lcm=predicate:random_seed=1338647987: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)
% 6.48/1.95 % (2331506)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=3237305217:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.48/1.95 % (2331507)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=1964096611:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.48/1.95 % (2331508)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=1764314570:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.48/1.95 % (2331511)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3801140058:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.48/1.95 % (2331510)Instruction limit reached!
% 6.48/1.95 % (2331510)------------------------------
% 6.48/1.95 % (2331510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331510)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331510)Termination reason: Instruction limit
% 6.48/1.95 % (2331510)Termination phase: Saturation
% 6.48/1.95 % (2331510)Time elapsed: 0.064 s
% 6.48/1.95 % (2331510)Peak memory usage: 88 MB
% 6.48/1.95 % (2331510)Instructions burned: 120 (million)
% 6.48/1.95 % (2331514)lrs+10_1_sil=8000:sp=occurrence:random_seed=3961739963:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.48/1.95 % (2331512)Instruction limit reached!
% 6.48/1.95 % (2331512)------------------------------
% 6.48/1.95 % (2331512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331512)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331512)Termination reason: Instruction limit
% 6.48/1.95 % (2331512)Termination phase: Saturation
% 6.48/1.95 % (2331512)Time elapsed: 0.077 s
% 6.48/1.95 % (2331512)Peak memory usage: 89 MB
% 6.48/1.95 % (2331512)Instructions burned: 130 (million)
% 6.48/1.95 % (2331511)Instruction limit reached!
% 6.48/1.95 % (2331511)------------------------------
% 6.48/1.95 % (2331511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331511)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331511)Termination reason: Instruction limit
% 6.48/1.95 % (2331511)Termination phase: Saturation
% 6.48/1.95 % (2331511)Time elapsed: 0.091 s
% 6.48/1.95 % (2331511)Peak memory usage: 90 MB
% 6.48/1.95 % (2331511)Instructions burned: 140 (million)
% 6.48/1.95 % (2331514)Instruction limit reached!
% 6.48/1.95 % (2331514)------------------------------
% 6.48/1.95 % (2331514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331514)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331514)Termination reason: Instruction limit
% 6.48/1.95 % (2331514)Termination phase: Saturation
% 6.48/1.95 % (2331514)Time elapsed: 0.088 s
% 6.48/1.95 % (2331514)Peak memory usage: 92 MB
% 6.48/1.95 % (2331514)Instructions burned: 286 (million)
% 6.48/1.95 % (2331523)lrs+1011_1_sil=32000:sp=occurrence:random_seed=170672737:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.48/1.95 % (2331521)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2924144356:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.48/1.95 % (2331524)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=321584095:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.48/1.95 % (2331525)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3792982313:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.48/1.95 % (2331521)Instruction limit reached!
% 6.48/1.95 % (2331521)------------------------------
% 6.48/1.95 % (2331521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331521)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331521)Termination reason: Instruction limit
% 6.48/1.95 % (2331521)Termination phase: Saturation
% 6.48/1.95 % (2331521)Time elapsed: 0.083 s
% 6.48/1.95 % (2331521)Peak memory usage: 89 MB
% 6.48/1.95 % (2331521)Instructions burned: 158 (million)
% 6.48/1.95 % (2331525)Instruction limit reached!
% 6.48/1.95 % (2331525)------------------------------
% 6.48/1.95 % (2331525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331525)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331525)Termination reason: Instruction limit
% 6.48/1.95 % (2331525)Termination phase: Saturation
% 6.48/1.95 % (2331525)Time elapsed: 0.084 s
% 6.48/1.95 % (2331525)Peak memory usage: 89 MB
% 6.48/1.95 % (2331525)Instructions burned: 295 (million)
% 6.48/1.95 % (2331524)Instruction limit reached!
% 6.48/1.95 % (2331524)------------------------------
% 6.48/1.95 % (2331524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331524)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331524)Termination reason: Instruction limit
% 6.48/1.95 % (2331524)Termination phase: Saturation
% 6.48/1.95 % (2331524)Time elapsed: 0.138 s
% 6.48/1.95 % (2331524)Peak memory usage: 90 MB
% 6.48/1.95 % (2331524)Instructions burned: 248 (million)
% 6.48/1.95 % (2331523)Instruction limit reached!
% 6.48/1.95 % (2331523)------------------------------
% 6.48/1.95 % (2331523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331523)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331523)Termination reason: Instruction limit
% 6.48/1.95 % (2331523)Termination phase: Saturation
% 6.48/1.95 % (2331523)Time elapsed: 0.201 s
% 6.48/1.95 % (2331523)Peak memory usage: 90 MB
% 6.48/1.95 % (2331523)Instructions burned: 326 (million)
% 6.48/1.95 % (2331530)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3643643978:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.48/1.95 % (2331531)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1363236847:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.48/1.95 % (2331531)Instruction limit reached!
% 6.48/1.95 % (2331531)------------------------------
% 6.48/1.95 % (2331531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331531)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331531)Termination reason: Instruction limit
% 6.48/1.95 % (2331531)Termination phase: Saturation
% 6.48/1.95 % (2331531)Time elapsed: 0.033 s
% 6.48/1.95 % (2331531)Peak memory usage: 89 MB
% 6.48/1.95 % (2331531)Instructions burned: 114 (million)
% 6.48/1.95 % (2331532)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3265127827:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.48/1.95 % (2331536)lrs+10_1_sil=8000:sp=occurrence:random_seed=2900254229:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 6.48/1.95 % (2331534)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=552991173:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.48/1.95 % (2331532)Instruction limit reached!
% 6.48/1.95 % (2331532)------------------------------
% 6.48/1.95 % (2331532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331532)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331532)Termination reason: Instruction limit
% 6.48/1.95 % (2331532)Termination phase: Saturation
% 6.48/1.95 % (2331532)Time elapsed: 0.071 s
% 6.48/1.95 % (2331532)Peak memory usage: 89 MB
% 6.48/1.95 % (2331532)Instructions burned: 128 (million)
% 6.48/1.95 % (2331534)Instruction limit reached!
% 6.48/1.95 % (2331534)------------------------------
% 6.48/1.95 % (2331534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331534)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331534)Termination reason: Instruction limit
% 6.48/1.95 % (2331534)Termination phase: Saturation
% 6.48/1.95 % (2331534)Time elapsed: 0.060 s
% 6.48/1.95 % (2331534)Peak memory usage: 89 MB
% 6.48/1.95 % (2331534)Instructions burned: 114 (million)
% 6.48/1.95 % (2331506)First to succeed.
% 6.48/1.95 % (2331506)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2331501"
% 6.48/1.95 % (2331540)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=880959114:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.48/1.95 % (2331541)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1373782468:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.48/1.95 % (2331536)Instruction limit reached!
% 6.48/1.95 % (2331536)------------------------------
% 6.48/1.95 % (2331536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.95 % (2331536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.95 % (2331536)CaDiCaL version: 2.1.3
% 6.48/1.95 % (2331536)Termination reason: Instruction limit
% 6.48/1.95 % (2331536)Termination phase: Saturation
% 6.48/1.95 % (2331536)Time elapsed: 0.287 s
% 6.48/1.95 % (2331536)Peak memory usage: 98 MB
% 6.48/1.95 % (2331536)Instructions burned: 910 (million)
% 6.48/1.95 % (2331544)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2466660939:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.48/1.95 % (2331506)Refutation found. Thanks to Tanya!
% 6.48/1.95 % SZS status Theorem for theBenchmark
% 6.48/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.21/2.15 % (2331506)------------------------------
% 8.21/2.15 % (2331506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.21/2.15 % (2331506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/2.15 % (2331506)CaDiCaL version: 2.1.3
% 8.21/2.15 % (2331506)Termination reason: Refutation
% 8.21/2.15 % (2331506)Time elapsed: 0.666 s
% 8.21/2.15 % (2331506)Peak memory usage: 129 MB
% 8.21/2.15 % (2331506)Instructions burned: 994 (million)
% 8.21/2.15 % (2331506)------------------------------
% 8.21/2.15 % (2331506)------------------------------
% 8.21/2.15 % (2331501)Success in time 1.073 s
% 8.21/2.15 % Vampire exiting
%------------------------------------------------------------------------------