%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO622+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 : n019.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 09:53:05 AM UTC 2026
% Result : Theorem 4.43s 1.91s
% Output : Refutation 8.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 93 ( 10 unt; 2 def)
% Number of atoms : 254 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 272 ( 111 ~; 105 |; 38 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 375 ( 0 sgn 361 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
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(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
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] :
( ( circle(X3,X0,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& coll(X4,X1,X2)
& midpoint(X6,X0,X4)
& perp(X0,X4,X6,X5)
& coll(X5,X0,X3) )
=> perp(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110985) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X3,X0,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& coll(X4,X1,X2)
& midpoint(X6,X0,X4)
& perp(X0,X4,X6,X5)
& coll(X5,X0,X3) )
=> perp(X4,X5,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X3,X0,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& coll(X4,X1,X2)
& perp(X0,X4,X6,X5)
& coll(X5,X0,X3) )
=> perp(X4,X5,X1,X2) ),
inference(pure_predicate_removal,[],[f96]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
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(ennf_transformation,[],[f9]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f111]) ).
fof(f121,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(f122,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f121]) ).
fof(f124,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(f126,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(f149,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(f150,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(f151,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
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(ennf_transformation,[],[f42]) ).
fof(f153,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,[],[f152]) ).
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(ennf_transformation,[],[f43]) ).
fof(f155,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,[],[f154]) ).
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(ennf_transformation,[],[f44]) ).
fof(f157,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,[],[f156]) ).
fof(f181,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(f182,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f181]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X4,X5,X1,X2)
& circle(X3,X0,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& coll(X4,X1,X2)
& perp(X0,X4,X6,X5)
& coll(X5,X0,X3) ),
inference(ennf_transformation,[],[f98]) ).
fof(f251,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X4,X5,X1,X2)
& circle(X3,X0,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& coll(X4,X1,X2)
& perp(X0,X4,X6,X5)
& coll(X5,X0,X3) ),
inference(flattening,[],[f250]) ).
fof(f271,plain,
( ~ perp(sK24,sK25,sK21,sK22)
& circle(sK23,sK20,sK21,sK22)
& eqangle(sK24,sK20,sK20,sK22,sK24,sK20,sK20,sK21)
& coll(sK24,sK21,sK22)
& perp(sK20,sK24,sK26,sK25)
& coll(sK25,sK20,sK23) ),
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)],[f251]) ).
fof(f279,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f280,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,[],[f110]) ).
fof(f281,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f112]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f122]) ).
fof(f290,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,[],[f124]) ).
fof(f292,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,[],[f126]) ).
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,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(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) ),
inference(cnf_transformation,[],[f151]) ).
fof(f313,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,[],[f153]) ).
fof(f314,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,[],[f155]) ).
fof(f315,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,[],[f157]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f182]) ).
fof(f386,plain,
perp(sK20,sK24,sK26,sK25),
inference(cnf_transformation,[],[f271]) ).
fof(f390,plain,
~ perp(sK24,sK25,sK21,sK22),
inference(cnf_transformation,[],[f271]) ).
fof(f393,plain,
perp(sK26,sK25,sK20,sK24),
inference(resolution,[],[f279,f386]) ).
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,[],[f312,f315]) ).
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,[],[f397]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f290,f311]) ).
fof(f407,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f292,f311]) ).
fof(f434,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f310,f403]) ).
fof(f436,definition,
( spl27_1
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f437,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,definition,
( spl27_2
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f440,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f434,f439,f436]) ).
fof(f453,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f407]) ).
fof(f456,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f453,f440]) ).
fof(f463,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f314,f407]) ).
fof(f466,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f463,f456]) ).
fof(f469,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f466,f440]) ).
fof(f470,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl27_2 ),
inference(resolution,[],[f469,f288]) ).
fof(f476,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f470,f469]) ).
fof(f479,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl27_2 ),
inference(resolution,[],[f476,f398]) ).
fof(f482,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f479,f476]) ).
fof(f484,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f482,f476]) ).
fof(f485,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl27_2 ),
inference(resolution,[],[f484,f328]) ).
fof(f486,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f485,f484]) ).
fof(f487,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) )
| ~ spl27_2 ),
inference(resolution,[],[f486,f281]) ).
fof(f488,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl27_2 ),
inference(resolution,[],[f486,f279]) ).
fof(f494,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK24)
| para(X0,X1,sK26,sK25) ),
inference(resolution,[],[f280,f386]) ).
fof(f497,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl27_2 ),
inference(resolution,[],[f280,f486]) ).
fof(f499,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f497,f488]) ).
fof(f500,plain,
( ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3)
| ~ spl27_2 ),
inference(resolution,[],[f499,f487]) ).
fof(f501,plain,
( $false
| ~ spl27_2 ),
inference(resolution,[],[f500,f390]) ).
fof(f506,plain,
~ spl27_2,
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f507,plain,
para(sK26,sK25,sK26,sK25),
inference(resolution,[],[f494,f393]) ).
fof(f508,plain,
( $false
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f507,f437]) ).
fof(f509,plain,
~ spl27_1,
inference(avatar_contradiction_clause,[],[f508]) ).
cnf(s1,plain,
( spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f441]) ).
cnf(s2,plain,
~ spl27_2,
inference(sat_conversion,[],[f506]) ).
cnf(s3,plain,
~ spl27_1,
inference(sat_conversion,[],[f509]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f510,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO622+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 08:39:49 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 4.43/1.91 % (2793773)Detected formulas, will run a generic FOF schedule.
% 4.43/1.91 % (2793781)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2267589570:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.43/1.91 % (2793783)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4070866599:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.43/1.91 % (2793782)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1941291067:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.43/1.91 % (2793778)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=1208634414:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.43/1.91 % (2793779)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=2212170797:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.43/1.91 % (2793780)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=3367349746:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.43/1.91 % (2793781)Instruction limit reached!
% 4.43/1.91 % (2793781)------------------------------
% 4.43/1.91 % (2793781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793781)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793781)Termination reason: Instruction limit
% 4.43/1.91 % (2793781)Termination phase: Saturation
% 4.43/1.91 % (2793781)Time elapsed: 0.036 s
% 4.43/1.91 % (2793781)Peak memory usage: 89 MB
% 4.43/1.91 % (2793781)Instructions burned: 109 (million)
% 4.43/1.91 % (2793784)dis-21_1_sil=8000:lcm=predicate:random_seed=1848805021: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)
% 4.43/1.91 % (2793783)Instruction limit reached!
% 4.43/1.91 % (2793783)------------------------------
% 4.43/1.91 % (2793783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793783)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793783)Termination reason: Instruction limit
% 4.43/1.91 % (2793783)Termination phase: Saturation
% 4.43/1.91 % (2793783)Time elapsed: 0.059 s
% 4.43/1.91 % (2793783)Peak memory usage: 90 MB
% 4.43/1.91 % (2793783)Instructions burned: 142 (million)
% 4.43/1.91 % (2793782)Instruction limit reached!
% 4.43/1.91 % (2793782)------------------------------
% 4.43/1.91 % (2793782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793782)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793782)Termination reason: Instruction limit
% 4.43/1.91 % (2793782)Termination phase: Saturation
% 4.43/1.91 % (2793782)Time elapsed: 0.069 s
% 4.43/1.91 % (2793782)Peak memory usage: 88 MB
% 4.43/1.91 % (2793782)Instructions burned: 120 (million)
% 4.43/1.91 % (2793784)Instruction limit reached!
% 4.43/1.91 % (2793784)------------------------------
% 4.43/1.91 % (2793784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793784)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793784)Termination reason: Instruction limit
% 4.43/1.91 % (2793784)Termination phase: Saturation
% 4.43/1.91 % (2793784)Time elapsed: 0.075 s
% 4.43/1.91 % (2793784)Peak memory usage: 89 MB
% 4.43/1.91 % (2793784)Instructions burned: 129 (million)
% 4.43/1.91 % (2793791)lrs+10_1_sil=8000:sp=occurrence:random_seed=3345213007:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.43/1.91 % (2793793)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3348822774:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.43/1.91 % (2793794)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1453901847:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.43/1.91 % (2793795)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=3657046620:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.43/1.91 % (2793793)Instruction limit reached!
% 4.43/1.91 % (2793793)------------------------------
% 4.43/1.91 % (2793793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793793)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793793)Termination reason: Instruction limit
% 4.43/1.91 % (2793793)Termination phase: Saturation
% 4.43/1.91 % (2793793)Time elapsed: 0.082 s
% 4.43/1.91 % (2793793)Peak memory usage: 89 MB
% 4.43/1.91 % (2793793)Instructions burned: 157 (million)
% 4.43/1.91 % (2793791)Instruction limit reached!
% 4.43/1.91 % (2793791)------------------------------
% 4.43/1.91 % (2793791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793791)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793791)Termination reason: Instruction limit
% 4.43/1.91 % (2793791)Termination phase: Saturation
% 4.43/1.91 % (2793791)Time elapsed: 0.182 s
% 4.43/1.91 % (2793791)Peak memory usage: 92 MB
% 4.43/1.91 % (2793791)Instructions burned: 286 (million)
% 4.43/1.91 % (2793795)Instruction limit reached!
% 4.43/1.91 % (2793795)------------------------------
% 4.43/1.91 % (2793795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793795)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793795)Termination reason: Instruction limit
% 4.43/1.91 % (2793795)Termination phase: Saturation
% 4.43/1.91 % (2793795)Time elapsed: 0.140 s
% 4.43/1.91 % (2793795)Peak memory usage: 90 MB
% 4.43/1.91 % (2793795)Instructions burned: 249 (million)
% 4.43/1.91 % (2793800)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4167111815:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.43/1.91 % (2793794)Instruction limit reached!
% 4.43/1.91 % (2793794)------------------------------
% 4.43/1.91 % (2793794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793794)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793794)Termination reason: Instruction limit
% 4.43/1.91 % (2793794)Termination phase: Saturation
% 4.43/1.91 % (2793794)Time elapsed: 0.216 s
% 4.43/1.91 % (2793794)Peak memory usage: 92 MB
% 4.43/1.91 % (2793794)Instructions burned: 326 (million)
% 4.43/1.91 % (2793801)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1764154399:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.43/1.91 % (2793800)Instruction limit reached!
% 4.43/1.91 % (2793800)------------------------------
% 4.43/1.91 % (2793800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793800)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793800)Termination reason: Instruction limit
% 4.43/1.91 % (2793800)Termination phase: Saturation
% 4.43/1.91 % (2793800)Time elapsed: 0.091 s
% 4.43/1.91 % (2793800)Peak memory usage: 89 MB
% 4.43/1.91 % (2793800)Instructions burned: 296 (million)
% 4.43/1.91 % (2793802)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1951431420:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.43/1.91 % (2793804)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3163232300:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.43/1.91 % (2793806)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=408231362:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 4.43/1.91 % (2793802)Instruction limit reached!
% 4.43/1.91 % (2793802)------------------------------
% 4.43/1.91 % (2793802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793802)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793802)Termination reason: Instruction limit
% 4.43/1.91 % (2793802)Termination phase: Saturation
% 4.43/1.91 % (2793802)Time elapsed: 0.066 s
% 4.43/1.91 % (2793802)Peak memory usage: 89 MB
% 4.43/1.91 % (2793802)Instructions burned: 114 (million)
% 4.43/1.91 % (2793806)Instruction limit reached!
% 4.43/1.91 % (2793806)------------------------------
% 4.43/1.91 % (2793806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793806)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793806)Termination reason: Instruction limit
% 4.43/1.91 % (2793806)Termination phase: Saturation
% 4.43/1.91 % (2793806)Time elapsed: 0.034 s
% 4.43/1.91 % (2793806)Peak memory usage: 89 MB
% 4.43/1.91 % (2793806)Instructions burned: 117 (million)
% 4.43/1.91 % (2793804)Instruction limit reached!
% 4.43/1.91 % (2793804)------------------------------
% 4.43/1.91 % (2793804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793804)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793804)Termination reason: Instruction limit
% 4.43/1.91 % (2793804)Termination phase: Saturation
% 4.43/1.91 % (2793804)Time elapsed: 0.070 s
% 4.43/1.91 % (2793804)Peak memory usage: 89 MB
% 4.43/1.91 % (2793804)Instructions burned: 128 (million)
% 4.43/1.91 % (2793778)First to succeed.
% 4.43/1.91 % (2793778)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2793773"
% 4.43/1.91 % (2793779)Also succeeded, but the first one will report.
% 4.43/1.91 % (2793811)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=989771574:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 4.43/1.91 % (2793811)Refutation not found, incomplete strategy
% 4.43/1.91 % (2793811)------------------------------
% 4.43/1.91 % (2793811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.43/1.91 % (2793811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.43/1.91 % (2793811)CaDiCaL version: 2.1.3
% 4.43/1.91 % (2793811)Termination reason: Refutation not found, incomplete strategy
% 4.43/1.91 % (2793811)Time elapsed: 0.001 s
% 4.43/1.91 % (2793811)Peak memory usage: 88 MB
% 4.43/1.91 % (2793811)Instructions burned: 2 (million)
% 4.43/1.91 % (2793810)lrs+10_1_sil=8000:sp=occurrence:random_seed=505484757:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 4.43/1.91 % (2793812)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=716658669:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 4.43/1.91 % (2793811)------------------------------
% 4.43/1.91 % (2793811)------------------------------
% 4.43/1.91 % (2793816)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=589527926:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 4.43/1.91 % (2793778)Refutation found. Thanks to Tanya!
% 4.43/1.91 % SZS status Theorem for theBenchmark
% 4.43/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 8.03/2.10 % (2793778)------------------------------
% 8.03/2.10 % (2793778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.03/2.10 % (2793778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/2.10 % (2793778)CaDiCaL version: 2.1.3
% 8.03/2.10 % (2793778)Termination reason: Refutation
% 8.03/2.10 % (2793778)Time elapsed: 0.647 s
% 8.03/2.10 % (2793778)Peak memory usage: 131 MB
% 8.03/2.10 % (2793778)Instructions burned: 980 (million)
% 8.03/2.10 % (2793778)------------------------------
% 8.03/2.10 % (2793778)------------------------------
% 8.03/2.10 % (2793773)Success in time 1.064 s
% 8.03/2.10 % Vampire exiting
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