%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO647+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 : n008.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 09:53:09 AM UTC 2026
% Result : Theorem 4.69s 1.58s
% Output : Refutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 10 unt; 2 def)
% Number of atoms : 246 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 264 ( 110 ~; 105 |; 32 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 367 ( 0 sgn 353 !; 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] :
( ( midp(X3,X0,X2)
& midp(X4,X1,X0)
& midp(X5,X2,X1)
& para(X0,X5,X6,X3)
& para(X0,X2,X6,X5) )
=> para(X2,X4,X6,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( midp(X3,X0,X2)
& midp(X4,X1,X0)
& midp(X5,X2,X1)
& para(X0,X5,X6,X3)
& para(X0,X2,X6,X5) )
=> para(X2,X4,X6,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] :
( ~ para(X2,X4,X6,X1)
& midp(X3,X0,X2)
& midp(X4,X1,X0)
& midp(X5,X2,X1)
& para(X0,X5,X6,X3)
& para(X0,X2,X6,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X2,X4,X6,X1)
& midp(X3,X0,X2)
& midp(X4,X1,X0)
& midp(X5,X2,X1)
& para(X0,X5,X6,X3)
& para(X0,X2,X6,X5) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK22,sK24,sK26,sK21)
& midp(sK23,sK20,sK22)
& midp(sK24,sK21,sK20)
& midp(sK25,sK22,sK21)
& para(sK20,sK25,sK26,sK23)
& para(sK20,sK22,sK26,sK25) ),
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(f384,plain,
para(sK20,sK22,sK26,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ para(sK22,sK24,sK26,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
! [X0,X1] :
( ~ para(X0,X1,sK20,sK22)
| para(X0,X1,sK26,sK25) ),
inference(resolution,[],[f384,f276]) ).
fof(f392,plain,
para(sK26,sK25,sK20,sK22),
inference(resolution,[],[f275,f384]) ).
fof(f399,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,[],[f399]) ).
fof(f407,plain,
para(sK26,sK25,sK26,sK25),
inference(resolution,[],[f392,f390]) ).
fof(f431,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(f434,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f431,f309]) ).
fof(f438,definition,
( spl27_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f439,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f441,definition,
( spl27_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f442,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f443,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f434,f441,f438]) ).
fof(f444,plain,
( $false
| ~ spl27_2 ),
inference(resolution,[],[f442,f407]) ).
fof(f447,plain,
~ spl27_2,
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f471,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(f474,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f471,f312]) ).
fof(f481,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f474,f439]) ).
fof(f490,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f471]) ).
fof(f493,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f490,f481]) ).
fof(f497,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f493,f439]) ).
fof(f499,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl27_1 ),
inference(resolution,[],[f497,f287]) ).
fof(f503,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f499,f497]) ).
fof(f506,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl27_1 ),
inference(resolution,[],[f503,f400]) ).
fof(f510,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f506,f503]) ).
fof(f512,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f510,f503]) ).
fof(f513,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl27_1 ),
inference(resolution,[],[f512,f327]) ).
fof(f514,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f513,f512]) ).
fof(f516,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl27_1 ),
inference(resolution,[],[f514,f279]) ).
fof(f517,plain,
( ! [X2,X0,X1] : para(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(resolution,[],[f516,f514]) ).
fof(f518,plain,
( ! [X2,X0,X1] : para(X0,X1,X2,X2)
| ~ spl27_1 ),
inference(resolution,[],[f517,f275]) ).
fof(f520,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl27_1 ),
inference(resolution,[],[f517,f276]) ).
fof(f528,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(resolution,[],[f520,f518]) ).
fof(f536,plain,
( $false
| ~ spl27_1 ),
inference(resolution,[],[f528,f389]) ).
fof(f537,plain,
~ spl27_1,
inference(avatar_contradiction_clause,[],[f536]) ).
cnf(s1,plain,
( spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f443]) ).
cnf(s3,plain,
~ spl27_2,
inference(sat_conversion,[],[f447]) ).
cnf(s4,plain,
~ spl27_1,
inference(sat_conversion,[],[f537]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f538,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO647+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 08:43:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.69/1.58 % (930364)Detected formulas, will run a generic FOF schedule.
% 4.69/1.58 % (930455)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=2228920440:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.69/1.58 % (930459)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=255997750:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.69/1.58 % (930458)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=236351528:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.69/1.58 % (930456)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=3012654282:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.69/1.58 % (930457)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=1918551686:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.69/1.58 % (930461)dis-21_1_sil=8000:lcm=predicate:random_seed=943707553: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)
% 4.69/1.58 % (930460)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1248643896:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.69/1.58 % (930458)Instruction limit reached!
% 4.69/1.58 % (930458)------------------------------
% 4.69/1.58 % (930458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.58 % (930458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.58 % (930458)CaDiCaL version: 2.1.3
% 4.69/1.58 % (930458)Termination reason: Instruction limit
% 4.69/1.58 % (930458)Termination phase: Saturation
% 4.69/1.58 % (930458)Time elapsed: 0.067 s
% 4.69/1.58 % (930458)Peak memory usage: 88 MB
% 4.69/1.58 % (930458)Instructions burned: 109 (million)
% 4.69/1.58 % (930459)Instruction limit reached!
% 4.69/1.58 % (930459)------------------------------
% 4.69/1.58 % (930459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.58 % (930459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.58 % (930459)CaDiCaL version: 2.1.3
% 4.69/1.58 % (930459)Termination reason: Instruction limit
% 4.69/1.58 % (930459)Termination phase: Saturation
% 4.69/1.58 % (930459)Time elapsed: 0.069 s
% 4.69/1.58 % (930459)Peak memory usage: 88 MB
% 4.69/1.58 % (930459)Instructions burned: 119 (million)
% 4.69/1.58 % (930461)Instruction limit reached!
% 4.69/1.58 % (930461)------------------------------
% 4.69/1.58 % (930461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.58 % (930461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.58 % (930461)CaDiCaL version: 2.1.3
% 4.69/1.58 % (930461)Termination reason: Instruction limit
% 4.69/1.58 % (930461)Termination phase: Saturation
% 4.69/1.58 % (930461)Time elapsed: 0.074 s
% 4.69/1.58 % (930461)Peak memory usage: 88 MB
% 4.69/1.58 % (930461)Instructions burned: 130 (million)
% 4.69/1.58 % (930460)Instruction limit reached!
% 4.69/1.58 % (930460)------------------------------
% 4.69/1.58 % (930460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.58 % (930460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.58 % (930460)CaDiCaL version: 2.1.3
% 4.69/1.58 % (930460)Termination reason: Instruction limit
% 4.69/1.58 % (930460)Termination phase: Saturation
% 4.69/1.58 % (930460)Time elapsed: 0.093 s
% 4.69/1.58 % (930460)Peak memory usage: 90 MB
% 4.69/1.58 % (930460)Instructions burned: 140 (million)
% 4.69/1.58 % (930470)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3372135997:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.69/1.58 % (930469)lrs+10_1_sil=8000:sp=occurrence:random_seed=103906768:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.69/1.58 % (930471)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1585051975:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.69/1.58 % (930472)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=3753835538:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.69/1.58 % (930470)Instruction limit reached!
% 4.69/1.58 % (930470)------------------------------
% 4.69/1.58 % (930470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.58 % (930470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.58 % (930470)CaDiCaL version: 2.1.3
% 4.69/1.58 % (930470)Termination reason: Instruction limit
% 4.69/1.58 % (930470)Termination phase: Saturation
% 4.69/1.58 % (930470)Time elapsed: 0.082 s
% 4.69/1.58 % (930470)Peak memory usage: 90 MB
% 4.69/1.58 % (930470)Instructions burned: 157 (million)
% 4.69/1.58 % (930455)First to succeed.
% 4.69/1.58 % (930455)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-930364"
% 4.69/1.58 % (930472)Instruction limit reached!
% 4.69/1.58 % (930472)------------------------------
% 4.69/1.58 % (930472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.58 % (930472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.58 % (930472)CaDiCaL version: 2.1.3
% 4.69/1.58 % (930472)Termination reason: Instruction limit
% 4.69/1.58 % (930472)Termination phase: Saturation
% 4.69/1.58 % (930472)Time elapsed: 0.131 s
% 4.69/1.58 % (930472)Peak memory usage: 91 MB
% 4.69/1.58 % (930472)Instructions burned: 250 (million)
% 4.69/1.58 % (930469)Instruction limit reached!
% 4.69/1.58 % (930469)------------------------------
% 4.69/1.58 % (930469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.58 % (930469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.58 % (930469)CaDiCaL version: 2.1.3
% 4.69/1.58 % (930469)Termination reason: Instruction limit
% 4.69/1.58 % (930469)Termination phase: Saturation
% 4.69/1.58 % (930469)Time elapsed: 0.174 s
% 4.69/1.58 % (930469)Peak memory usage: 92 MB
% 4.69/1.58 % (930469)Instructions burned: 285 (million)
% 4.69/1.58 % (930471)Instruction limit reached!
% 4.69/1.58 % (930471)------------------------------
% 4.69/1.58 % (930471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.58 % (930471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.58 % (930471)CaDiCaL version: 2.1.3
% 4.69/1.58 % (930471)Termination reason: Instruction limit
% 4.69/1.58 % (930471)Termination phase: Saturation
% 4.69/1.58 % (930471)Time elapsed: 0.199 s
% 4.69/1.58 % (930471)Peak memory usage: 91 MB
% 4.69/1.58 % (930471)Instructions burned: 325 (million)
% 4.69/1.58 % (930477)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2014474025:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.69/1.58 % (930478)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2989522191:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.69/1.58 % (930455)Refutation found. Thanks to Tanya!
% 4.69/1.58 % SZS status Theorem for theBenchmark
% 4.69/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 5.70/1.74 % (930455)------------------------------
% 5.70/1.74 % (930455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.74 % (930455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.74 % (930455)CaDiCaL version: 2.1.3
% 5.70/1.74 % (930455)Termination reason: Refutation
% 5.70/1.74 % (930455)Time elapsed: 0.420 s
% 5.70/1.74 % (930455)Peak memory usage: 131 MB
% 5.70/1.74 % (930455)Instructions burned: 986 (million)
% 5.70/1.74 % (930455)------------------------------
% 5.70/1.74 % (930455)------------------------------
% 5.70/1.74 % (930364)Success in time 0.729 s
% 5.70/1.74 % Vampire exiting
%------------------------------------------------------------------------------