%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO657+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 : n012.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 2.82s 1.20s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 10 unt; 2 def)
% Number of atoms : 265 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 292 ( 124 ~; 119 |; 32 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 386 ( 0 sgn 372 !; 14 ?)
% 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(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] :
( ( coll(X4,X0,X2)
& para(X0,X1,X6,X4)
& para(X0,X3,X5,X4)
& coll(X5,X2,X3)
& coll(X6,X1,X2) )
=> para(X1,X3,X6,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02315) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X4,X0,X2)
& para(X0,X1,X6,X4)
& para(X0,X3,X5,X4)
& coll(X5,X2,X3)
& coll(X6,X1,X2) )
=> para(X1,X3,X6,X5) ),
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] :
( ~ para(X1,X3,X6,X5)
& coll(X4,X0,X2)
& para(X0,X1,X6,X4)
& para(X0,X3,X5,X4)
& coll(X5,X2,X3)
& coll(X6,X1,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X1,X3,X6,X5)
& coll(X4,X0,X2)
& para(X0,X1,X6,X4)
& para(X0,X3,X5,X4)
& coll(X5,X2,X3)
& coll(X6,X1,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK21,sK23,sK26,sK25)
& coll(sK24,sK20,sK22)
& para(sK20,sK21,sK26,sK24)
& para(sK20,sK23,sK25,sK24)
& coll(sK25,sK22,sK23)
& coll(sK26,sK21,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[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(f386,plain,
para(sK20,sK23,sK25,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ para(sK21,sK23,sK26,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
! [X0,X1] :
( ~ para(X0,X1,sK20,sK23)
| para(X0,X1,sK25,sK24) ),
inference(resolution,[],[f386,f276]) ).
fof(f395,plain,
para(sK25,sK24,sK20,sK23),
inference(resolution,[],[f275,f386]) ).
fof(f396,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(f398,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,[],[f396]) ).
fof(f405,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(f407,plain,
para(sK25,sK24,sK25,sK24),
inference(resolution,[],[f395,f391]) ).
fof(f436,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(f440,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f436,f309]) ).
fof(f444,definition,
( spl27_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f445,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f447,definition,
( spl27_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f448,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f449,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f440,f447,f444]) ).
fof(f450,plain,
( $false
| ~ spl27_2 ),
inference(resolution,[],[f448,f407]) ).
fof(f453,plain,
~ spl27_2,
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f480,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(f483,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f480,f312]) ).
fof(f484,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f480,f313]) ).
fof(f491,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f484,f445]) ).
fof(f492,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f483,f445]) ).
fof(f493,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f492,f491]) ).
fof(f495,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl27_1 ),
inference(resolution,[],[f493,f287]) ).
fof(f499,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f495,f493]) ).
fof(f502,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl27_1 ),
inference(resolution,[],[f499,f398]) ).
fof(f504,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) )
| ~ spl27_1 ),
inference(resolution,[],[f499,f405]) ).
fof(f505,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f504,f499]) ).
fof(f506,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f502,f499]) ).
fof(f507,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f505,f499]) ).
fof(f508,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f506,f499]) ).
fof(f509,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl27_1 ),
inference(resolution,[],[f508,f327]) ).
fof(f510,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f509,f508]) ).
fof(f511,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl27_1 ),
inference(resolution,[],[f510,f279]) ).
fof(f512,plain,
( ! [X2,X0,X1] : para(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(resolution,[],[f511,f510]) ).
fof(f530,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
| ~ spl27_1 ),
inference(resolution,[],[f507,f512]) ).
fof(f533,plain,
( ! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3) )
| ~ spl27_1 ),
inference(resolution,[],[f530,f327]) ).
fof(f534,plain,
( ! [X2,X3,X0,X1] : perp(X0,X2,X1,X3)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f533,f530]) ).
fof(f536,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(resolution,[],[f534,f511]) ).
fof(f544,plain,
( $false
| ~ spl27_1 ),
inference(resolution,[],[f536,f389]) ).
fof(f545,plain,
~ spl27_1,
inference(avatar_contradiction_clause,[],[f544]) ).
cnf(s1,plain,
( spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f449]) ).
cnf(s3,plain,
~ spl27_2,
inference(sat_conversion,[],[f453]) ).
cnf(s4,plain,
~ spl27_1,
inference(sat_conversion,[],[f545]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f546,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO657+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 08:44:35 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 2.82/1.20 % (2070164)Detected formulas, will run a generic FOF schedule.
% 2.82/1.20 % (2070169)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=2117387655:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.82/1.20 % (2070172)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1184608473:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.82/1.20 % (2070170)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=150999679:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.82/1.20 % (2070173)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2563124223:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.82/1.20 % (2070174)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=756781508:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.82/1.20 % (2070175)dis-21_1_sil=8000:lcm=predicate:random_seed=1271866307: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)
% 2.82/1.20 % (2070171)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=354353760:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.82/1.20 % (2070174)Instruction limit reached!
% 2.82/1.20 % (2070174)------------------------------
% 2.82/1.20 % (2070174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.20 % (2070174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.20 % (2070174)CaDiCaL version: 2.1.3
% 2.82/1.20 % (2070174)Termination reason: Instruction limit
% 2.82/1.20 % (2070174)Termination phase: Saturation
% 2.82/1.20 % (2070174)Time elapsed: 0.029 s
% 2.82/1.20 % (2070174)Peak memory usage: 88 MB
% 2.82/1.20 % (2070174)Instructions burned: 139 (million)
% 2.82/1.20 % (2070173)Instruction limit reached!
% 2.82/1.20 % (2070173)------------------------------
% 2.82/1.20 % (2070173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.20 % (2070173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.20 % (2070173)CaDiCaL version: 2.1.3
% 2.82/1.20 % (2070173)Termination reason: Instruction limit
% 2.82/1.20 % (2070173)Termination phase: Saturation
% 2.82/1.20 % (2070173)Time elapsed: 0.034 s
% 2.82/1.20 % (2070173)Peak memory usage: 88 MB
% 2.82/1.20 % (2070173)Instructions burned: 120 (million)
% 2.82/1.20 % (2070172)Instruction limit reached!
% 2.82/1.20 % (2070172)------------------------------
% 2.82/1.20 % (2070172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.20 % (2070172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.20 % (2070172)CaDiCaL version: 2.1.3
% 2.82/1.20 % (2070172)Termination reason: Instruction limit
% 2.82/1.20 % (2070172)Termination phase: Saturation
% 2.82/1.20 % (2070172)Time elapsed: 0.036 s
% 2.82/1.20 % (2070172)Peak memory usage: 89 MB
% 2.82/1.20 % (2070172)Instructions burned: 111 (million)
% 2.82/1.20 % (2070175)Instruction limit reached!
% 2.82/1.20 % (2070175)------------------------------
% 2.82/1.20 % (2070175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.20 % (2070175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.20 % (2070175)CaDiCaL version: 2.1.3
% 2.82/1.20 % (2070175)Termination reason: Instruction limit
% 2.82/1.20 % (2070175)Termination phase: Saturation
% 2.82/1.20 % (2070175)Time elapsed: 0.040 s
% 2.82/1.20 % (2070175)Peak memory usage: 89 MB
% 2.82/1.20 % (2070175)Instructions burned: 131 (million)
% 2.82/1.20 % (2070186)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=3131277439:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 2.82/1.20 % (2070183)lrs+10_1_sil=8000:sp=occurrence:random_seed=1996008662:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.82/1.20 % (2070184)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3140843799:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.82/1.20 % (2070185)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2401293144:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 2.82/1.20 % (2070184)Instruction limit reached!
% 2.82/1.20 % (2070184)------------------------------
% 2.82/1.20 % (2070184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.20 % (2070184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.20 % (2070184)CaDiCaL version: 2.1.3
% 2.82/1.20 % (2070184)Termination reason: Instruction limit
% 2.82/1.20 % (2070184)Termination phase: Saturation
% 2.82/1.20 % (2070184)Time elapsed: 0.043 s
% 2.82/1.20 % (2070184)Peak memory usage: 89 MB
% 2.82/1.20 % (2070184)Instructions burned: 159 (million)
% 2.82/1.20 % (2070185)Instruction limit reached!
% 2.82/1.20 % (2070185)------------------------------
% 2.82/1.20 % (2070185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.20 % (2070185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.20 % (2070185)CaDiCaL version: 2.1.3
% 2.82/1.20 % (2070185)Termination reason: Instruction limit
% 2.82/1.20 % (2070185)Termination phase: Saturation
% 2.82/1.20 % (2070185)Time elapsed: 0.061 s
% 2.82/1.20 % (2070185)Peak memory usage: 88 MB
% 2.82/1.20 % (2070185)Instructions burned: 329 (million)
% 2.82/1.20 % (2070186)Instruction limit reached!
% 2.82/1.20 % (2070186)------------------------------
% 2.82/1.20 % (2070186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.20 % (2070186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.20 % (2070186)CaDiCaL version: 2.1.3
% 2.82/1.20 % (2070186)Termination reason: Instruction limit
% 2.82/1.20 % (2070186)Termination phase: Saturation
% 2.82/1.20 % (2070186)Time elapsed: 0.073 s
% 2.82/1.20 % (2070186)Peak memory usage: 90 MB
% 2.82/1.20 % (2070186)Instructions burned: 251 (million)
% 2.82/1.20 % (2070183)Instruction limit reached!
% 2.82/1.20 % (2070183)------------------------------
% 2.82/1.20 % (2070183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.20 % (2070183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.20 % (2070183)CaDiCaL version: 2.1.3
% 2.82/1.20 % (2070183)Termination reason: Instruction limit
% 2.82/1.20 % (2070183)Termination phase: Saturation
% 2.82/1.20 % (2070183)Time elapsed: 0.088 s
% 2.82/1.20 % (2070183)Peak memory usage: 92 MB
% 2.82/1.20 % (2070183)Instructions burned: 285 (million)
% 2.82/1.20 % (2070191)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2647992616:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 2.82/1.20 % (2070192)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2166739546:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 2.82/1.20 % (2070193)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2213670155:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 2.82/1.20 % (2070169)First to succeed.
% 2.82/1.20 % (2070169)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2070164"
% 2.82/1.20 % (2070194)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2469142536:i=127:av=off:fsr=off:sup=off_2996 on theBenchmark for (2996ds/127Mi)
% 2.82/1.20 % (2070193)Instruction limit reached!
% 2.82/1.20 % (2070193)------------------------------
% 2.82/1.20 % (2070193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.20 % (2070193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.20 % (2070193)CaDiCaL version: 2.1.3
% 2.82/1.20 % (2070193)Termination reason: Instruction limit
% 2.82/1.20 % (2070193)Termination phase: Saturation
% 2.82/1.20 % (2070193)Time elapsed: 0.034 s
% 2.82/1.20 % (2070193)Peak memory usage: 89 MB
% 2.82/1.20 % (2070193)Instructions burned: 116 (million)
% 2.82/1.20 % (2070191)Instruction limit reached!
% 2.82/1.20 % (2070191)------------------------------
% 2.82/1.20 % (2070191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.20 % (2070191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.20 % (2070191)CaDiCaL version: 2.1.3
% 2.82/1.20 % (2070191)Termination reason: Instruction limit
% 2.82/1.20 % (2070191)Termination phase: Saturation
% 2.82/1.20 % (2070191)Time elapsed: 0.085 s
% 2.82/1.20 % (2070191)Peak memory usage: 89 MB
% 2.82/1.20 % (2070191)Instructions burned: 294 (million)
% 2.82/1.20 % (2070194)Instruction limit reached!
% 2.82/1.20 % (2070194)------------------------------
% 2.82/1.20 % (2070194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.20 % (2070194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.20 % (2070194)CaDiCaL version: 2.1.3
% 2.82/1.20 % (2070194)Termination reason: Instruction limit
% 2.82/1.20 % (2070194)Termination phase: Saturation
% 2.82/1.20 % (2070194)Time elapsed: 0.039 s
% 2.82/1.20 % (2070194)Peak memory usage: 89 MB
% 2.82/1.20 % (2070194)Instructions burned: 130 (million)
% 2.82/1.20 % (2070199)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1686657471:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 2.82/1.20 % (2070169)Refutation found. Thanks to Tanya!
% 2.82/1.20 % SZS status Theorem for theBenchmark
% 2.82/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/1.30 % (2070169)------------------------------
% 0.07/1.30 % (2070169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.07/1.30 % (2070169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/1.30 % (2070169)CaDiCaL version: 2.1.3
% 0.07/1.30 % (2070169)Termination reason: Refutation
% 0.07/1.30 % (2070169)Time elapsed: 0.365 s
% 0.07/1.30 % (2070169)Peak memory usage: 129 MB
% 0.07/1.30 % (2070169)Instructions burned: 987 (million)
% 0.07/1.30 % (2070169)------------------------------
% 0.07/1.30 % (2070169)------------------------------
% 0.07/1.30 % (2070164)Success in time 0.664 s
% 0.07/1.30 % Vampire exiting
%------------------------------------------------------------------------------