%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO553+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 09:52:55 AM UTC 2026
% Result : Theorem 6.48s 1.93s
% Output : Refutation 8.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 93 ( 10 unt; 2 def)
% Number of atoms : 272 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 289 ( 110 ~; 104 |; 57 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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 : 375 ( 0 sgn 359 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD6) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X0,X1,X2,X3)
& para(X0,X2,X1,X3)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X0,X1,X3)
& coll(X5,X1,X3)
& perp(X6,X3,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X2,X1,X3)
& coll(X7,X1,X3) )
=> para(X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012013) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X0,X1,X2,X3)
& para(X0,X2,X1,X3)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X0,X1,X3)
& coll(X5,X1,X3)
& perp(X6,X3,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X2,X1,X3)
& coll(X7,X1,X3) )
=> para(X4,X5,X6,X7) ),
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] :
( ~ para(X4,X5,X6,X7)
& para(X0,X1,X2,X3)
& para(X0,X2,X1,X3)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X0,X1,X3)
& coll(X5,X1,X3)
& perp(X6,X3,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X2,X1,X3)
& coll(X7,X1,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
& para(X0,X1,X2,X3)
& para(X0,X2,X1,X3)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X0,X1,X3)
& coll(X5,X1,X3)
& perp(X6,X3,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X2,X1,X3)
& coll(X7,X1,X3) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK24,sK25,sK26,sK27)
& para(sK20,sK21,sK22,sK23)
& para(sK20,sK22,sK21,sK23)
& perp(sK24,sK21,sK20,sK22)
& coll(sK24,sK20,sK22)
& perp(sK25,sK20,sK21,sK23)
& coll(sK25,sK21,sK23)
& perp(sK26,sK23,sK20,sK22)
& coll(sK26,sK20,sK22)
& perp(sK27,sK22,sK21,sK23)
& coll(sK27,sK21,sK23) ),
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(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(f393,plain,
para(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ para(sK24,sK25,sK26,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f311,f314]) ).
fof(f399,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f397]) ).
fof(f410,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(f413,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f410,f309]) ).
fof(f417,definition,
( spl28_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f418,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f420,definition,
( spl28_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f421,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f422,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f413,f420,f417]) ).
fof(f434,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(f444,plain,
para(sK22,sK23,sK20,sK21),
inference(resolution,[],[f393,f275]) ).
fof(f446,plain,
! [X0,X1] :
( ~ para(X0,X1,sK20,sK21)
| para(X0,X1,sK22,sK23) ),
inference(resolution,[],[f393,f276]) ).
fof(f453,plain,
para(sK22,sK23,sK22,sK23),
inference(resolution,[],[f446,f444]) ).
fof(f454,plain,
( $false
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f453,f421]) ).
fof(f455,plain,
~ spl28_2,
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f481,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f434]) ).
fof(f485,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f481,f418]) ).
fof(f509,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f434]) ).
fof(f513,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f509,f485]) ).
fof(f517,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f513,f418]) ).
fof(f519,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl28_1 ),
inference(resolution,[],[f517,f287]) ).
fof(f522,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f519,f517]) ).
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,[],[f522,f399]) ).
fof(f528,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f524,f522]) ).
fof(f530,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f528,f522]) ).
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(f533,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl28_1 ),
inference(resolution,[],[f532,f278]) ).
fof(f535,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl28_1 ),
inference(resolution,[],[f532,f279]) ).
fof(f554,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl28_1 ),
inference(resolution,[],[f533,f535]) ).
fof(f561,plain,
( $false
| ~ spl28_1 ),
inference(resolution,[],[f554,f394]) ).
fof(f562,plain,
~ spl28_1,
inference(avatar_contradiction_clause,[],[f561]) ).
cnf(s1,plain,
( spl28_1
| spl28_2 ),
inference(sat_conversion,[],[f422]) ).
cnf(s2,plain,
~ spl28_2,
inference(sat_conversion,[],[f455]) ).
cnf(s3,plain,
~ spl28_1,
inference(sat_conversion,[],[f562]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f563,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO553+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.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 08:29:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.48/1.93 % (2095355)Detected formulas, will run a generic FOF schedule.
% 6.48/1.93 % (2095366)dis-21_1_sil=8000:lcm=predicate:random_seed=2519012701: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)
% 6.48/1.93 % (2095363)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2452921098:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.48/1.93 % (2095364)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1594487446:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.48/1.93 % (2095360)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=101499769:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.48/1.93 % (2095361)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=1286566928:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.48/1.93 % (2095362)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=1284964239:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.48/1.93 % (2095365)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2429231171:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.48/1.93 % (2095366)Instruction limit reached!
% 6.48/1.93 % (2095366)------------------------------
% 6.48/1.93 % (2095366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095366)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095366)Termination reason: Instruction limit
% 6.48/1.93 % (2095366)Termination phase: Saturation
% 6.48/1.93 % (2095366)Time elapsed: 0.043 s
% 6.48/1.93 % (2095366)Peak memory usage: 89 MB
% 6.48/1.93 % (2095366)Instructions burned: 139 (million)
% 6.48/1.93 % (2095364)Instruction limit reached!
% 6.48/1.93 % (2095364)------------------------------
% 6.48/1.93 % (2095364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095364)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095364)Termination reason: Instruction limit
% 6.48/1.93 % (2095364)Termination phase: Saturation
% 6.48/1.93 % (2095364)Time elapsed: 0.065 s
% 6.48/1.93 % (2095364)Peak memory usage: 88 MB
% 6.48/1.93 % (2095364)Instructions burned: 120 (million)
% 6.48/1.93 % (2095363)Instruction limit reached!
% 6.48/1.93 % (2095363)------------------------------
% 6.48/1.93 % (2095363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095363)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095363)Termination reason: Instruction limit
% 6.48/1.93 % (2095363)Termination phase: Saturation
% 6.48/1.93 % (2095363)Time elapsed: 0.067 s
% 6.48/1.93 % (2095363)Peak memory usage: 89 MB
% 6.48/1.93 % (2095363)Instructions burned: 109 (million)
% 6.48/1.93 % (2095365)Instruction limit reached!
% 6.48/1.93 % (2095365)------------------------------
% 6.48/1.93 % (2095365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095365)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095365)Termination reason: Instruction limit
% 6.48/1.93 % (2095365)Termination phase: Saturation
% 6.48/1.93 % (2095365)Time elapsed: 0.074 s
% 6.48/1.93 % (2095365)Peak memory usage: 89 MB
% 6.48/1.93 % (2095365)Instructions burned: 140 (million)
% 6.48/1.93 % (2095374)lrs+10_1_sil=8000:sp=occurrence:random_seed=3816697827:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.48/1.93 % (2095374)Instruction limit reached!
% 6.48/1.93 % (2095374)------------------------------
% 6.48/1.93 % (2095374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095374)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095374)Termination reason: Instruction limit
% 6.48/1.93 % (2095374)Termination phase: Saturation
% 6.48/1.93 % (2095374)Time elapsed: 0.085 s
% 6.48/1.93 % (2095374)Peak memory usage: 92 MB
% 6.48/1.93 % (2095374)Instructions burned: 287 (million)
% 6.48/1.93 % (2095376)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2466043703:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.48/1.93 % (2095375)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1230945424:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.48/1.93 % (2095377)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=3987666973:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.48/1.93 % (2095379)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2777528540:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.48/1.93 % (2095375)Instruction limit reached!
% 6.48/1.93 % (2095375)------------------------------
% 6.48/1.93 % (2095375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095375)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095375)Termination reason: Instruction limit
% 6.48/1.93 % (2095375)Termination phase: Saturation
% 6.48/1.93 % (2095375)Time elapsed: 0.084 s
% 6.48/1.93 % (2095375)Peak memory usage: 90 MB
% 6.48/1.93 % (2095375)Instructions burned: 157 (million)
% 6.48/1.93 % (2095377)Instruction limit reached!
% 6.48/1.93 % (2095377)------------------------------
% 6.48/1.93 % (2095377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095377)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095377)Termination reason: Instruction limit
% 6.48/1.93 % (2095377)Termination phase: Saturation
% 6.48/1.93 % (2095377)Time elapsed: 0.137 s
% 6.48/1.93 % (2095377)Peak memory usage: 90 MB
% 6.48/1.93 % (2095377)Instructions burned: 250 (million)
% 6.48/1.93 % (2095379)Instruction limit reached!
% 6.48/1.93 % (2095379)------------------------------
% 6.48/1.93 % (2095379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095379)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095379)Termination reason: Instruction limit
% 6.48/1.93 % (2095379)Termination phase: Saturation
% 6.48/1.93 % (2095379)Time elapsed: 0.090 s
% 6.48/1.93 % (2095379)Peak memory usage: 89 MB
% 6.48/1.93 % (2095379)Instructions burned: 297 (million)
% 6.48/1.93 % (2095376)Instruction limit reached!
% 6.48/1.93 % (2095376)------------------------------
% 6.48/1.93 % (2095376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095376)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095376)Termination reason: Instruction limit
% 6.48/1.93 % (2095376)Termination phase: Saturation
% 6.48/1.93 % (2095376)Time elapsed: 0.204 s
% 6.48/1.93 % (2095376)Peak memory usage: 90 MB
% 6.48/1.93 % (2095376)Instructions burned: 326 (million)
% 6.48/1.93 % (2095384)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1549264769:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.48/1.93 % (2095386)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=533171025:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.48/1.93 % (2095386)Instruction limit reached!
% 6.48/1.93 % (2095386)------------------------------
% 6.48/1.93 % (2095386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095386)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095386)Termination reason: Instruction limit
% 6.48/1.93 % (2095386)Termination phase: Saturation
% 6.48/1.93 % (2095386)Time elapsed: 0.037 s
% 6.48/1.93 % (2095386)Peak memory usage: 89 MB
% 6.48/1.93 % (2095386)Instructions burned: 128 (million)
% 6.48/1.93 % (2095385)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1856424255:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.48/1.93 % (2095388)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2401882825:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.48/1.93 % (2095385)Instruction limit reached!
% 6.48/1.93 % (2095385)------------------------------
% 6.48/1.93 % (2095385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095385)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095385)Termination reason: Instruction limit
% 6.48/1.93 % (2095385)Termination phase: Saturation
% 6.48/1.93 % (2095385)Time elapsed: 0.063 s
% 6.48/1.93 % (2095385)Peak memory usage: 89 MB
% 6.48/1.93 % (2095385)Instructions burned: 115 (million)
% 6.48/1.93 % (2095390)lrs+10_1_sil=8000:sp=occurrence:random_seed=3243712819:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.48/1.93 % (2095388)Instruction limit reached!
% 6.48/1.93 % (2095388)------------------------------
% 6.48/1.93 % (2095388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095388)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095388)Termination reason: Instruction limit
% 6.48/1.93 % (2095388)Termination phase: Saturation
% 6.48/1.93 % (2095388)Time elapsed: 0.062 s
% 6.48/1.93 % (2095388)Peak memory usage: 89 MB
% 6.48/1.93 % (2095388)Instructions burned: 114 (million)
% 6.48/1.93 % (2095360)First to succeed.
% 6.48/1.93 % (2095360)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2095355"
% 6.48/1.93 % (2095393)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=843232474:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.48/1.93 % (2095395)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2078191594:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.48/1.93 % (2095390)Instruction limit reached!
% 6.48/1.93 % (2095390)------------------------------
% 6.48/1.93 % (2095390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.93 % (2095390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.93 % (2095390)CaDiCaL version: 2.1.3
% 6.48/1.93 % (2095390)Termination reason: Instruction limit
% 6.48/1.93 % (2095390)Termination phase: Saturation
% 6.48/1.93 % (2095390)Time elapsed: 0.276 s
% 6.48/1.93 % (2095390)Peak memory usage: 97 MB
% 6.48/1.93 % (2095390)Instructions burned: 908 (million)
% 6.48/1.93 % (2095360)Refutation found. Thanks to Tanya!
% 6.48/1.93 % SZS status Theorem for theBenchmark
% 6.48/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 8.18/2.12 % (2095360)------------------------------
% 8.18/2.12 % (2095360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.12 % (2095360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.12 % (2095360)CaDiCaL version: 2.1.3
% 8.18/2.12 % (2095360)Termination reason: Refutation
% 8.18/2.12 % (2095360)Time elapsed: 0.669 s
% 8.18/2.12 % (2095360)Peak memory usage: 131 MB
% 8.18/2.12 % (2095360)Instructions burned: 992 (million)
% 8.18/2.12 % (2095360)------------------------------
% 8.18/2.12 % (2095360)------------------------------
% 8.18/2.12 % (2095355)Success in time 1.083 s
% 8.18/2.12 % Vampire exiting
%------------------------------------------------------------------------------