%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO594+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 09:53:01 AM UTC 2026
% Result : Theorem 7.75s 12.18s
% Output : Refutation 8.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 100 ( 10 unt; 2 def)
% Number of atoms : 276 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 299 ( 123 ~; 122 |; 36 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 383 ( 0 sgn 371 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ( cong(X2,X0,X0,X1)
| cong(X2,X0,X2,X1) )
& circle(X3,X0,X1,X2)
& coll(X4,X2,X3)
& coll(X4,X0,X1)
& perp(X0,X3,X0,X5)
& para(X0,X3,X5,X2) )
=> cong(X2,X5,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416056) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ( cong(X2,X0,X0,X1)
| cong(X2,X0,X2,X1) )
& circle(X3,X0,X1,X2)
& coll(X4,X2,X3)
& coll(X4,X0,X1)
& perp(X0,X3,X0,X5)
& para(X0,X3,X5,X2) )
=> cong(X2,X5,X2,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
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(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
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] :
( ~ cong(X2,X5,X2,X4)
& ( cong(X2,X0,X0,X1)
| cong(X2,X0,X2,X1) )
& circle(X3,X0,X1,X2)
& coll(X4,X2,X3)
& coll(X4,X0,X1)
& perp(X0,X3,X0,X5)
& para(X0,X3,X5,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X5,X2,X4)
& ( cong(X2,X0,X0,X1)
| cong(X2,X0,X2,X1) )
& circle(X3,X0,X1,X2)
& coll(X4,X2,X3)
& coll(X4,X0,X1)
& perp(X0,X3,X0,X5)
& para(X0,X3,X5,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cong(sK22,sK25,sK22,sK24)
& ( cong(sK22,sK20,sK20,sK21)
| cong(sK22,sK20,sK22,sK21) )
& circle(sK23,sK20,sK21,sK22)
& coll(sK24,sK22,sK23)
& coll(sK24,sK20,sK21)
& perp(sK20,sK23,sK20,sK25)
& para(sK20,sK23,sK25,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25)],[f250]) ).
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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
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(f385,plain,
perp(sK20,sK23,sK20,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ cong(sK22,sK25,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f400,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(f401,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(f402,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,[],[f401]) ).
fof(f414,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(f417,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f414,f309]) ).
fof(f421,definition,
( spl26_3
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl26_3])],[avatar_definition]) ).
fof(f422,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f424,definition,
( spl26_4
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl26_4])],[avatar_definition]) ).
fof(f425,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f426,plain,
( spl26_3
| spl26_4 ),
inference(avatar_split_clause,[],[f417,f424,f421]) ).
fof(f438,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(f458,plain,
perp(sK20,sK25,sK20,sK23),
inference(resolution,[],[f278,f385]) ).
fof(f465,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f438]) ).
fof(f469,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl26_3 ),
inference(forward_subsumption_resolution,[],[f465,f422]) ).
fof(f489,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f438]) ).
fof(f493,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl26_3 ),
inference(forward_subsumption_resolution,[],[f489,f469]) ).
fof(f497,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl26_3 ),
inference(forward_subsumption_resolution,[],[f493,f422]) ).
fof(f500,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl26_3 ),
inference(resolution,[],[f497,f287]) ).
fof(f502,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl26_3 ),
inference(forward_subsumption_resolution,[],[f500,f497]) ).
fof(f506,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) )
| ~ spl26_3 ),
inference(resolution,[],[f502,f400]) ).
fof(f507,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl26_3 ),
inference(resolution,[],[f502,f402]) ).
fof(f509,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl26_3 ),
inference(forward_subsumption_resolution,[],[f507,f502]) ).
fof(f510,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl26_3 ),
inference(forward_subsumption_resolution,[],[f506,f502]) ).
fof(f511,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl26_3 ),
inference(forward_subsumption_resolution,[],[f509,f502]) ).
fof(f512,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl26_3 ),
inference(forward_subsumption_resolution,[],[f510,f502]) ).
fof(f513,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl26_3 ),
inference(resolution,[],[f511,f327]) ).
fof(f517,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl26_3 ),
inference(forward_subsumption_resolution,[],[f513,f511]) ).
fof(f518,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl26_3 ),
inference(resolution,[],[f517,f278]) ).
fof(f534,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK23)
| para(X0,X1,sK20,sK25) ),
inference(resolution,[],[f279,f385]) ).
fof(f537,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl26_3 ),
inference(resolution,[],[f279,f517]) ).
fof(f539,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl26_3 ),
inference(forward_subsumption_resolution,[],[f537,f518]) ).
fof(f543,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
| ~ spl26_3 ),
inference(resolution,[],[f539,f512]) ).
fof(f546,plain,
( ! [X2,X0,X1] : cong(X0,X1,X1,X2)
| ~ spl26_3 ),
inference(resolution,[],[f543,f293]) ).
fof(f553,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X0)
| ~ spl26_3 ),
inference(resolution,[],[f546,f294]) ).
fof(f558,plain,
( ! [X2,X0,X1] : cong(X0,X1,X0,X2)
| ~ spl26_3 ),
inference(resolution,[],[f553,f293]) ).
fof(f564,plain,
( $false
| ~ spl26_3 ),
inference(resolution,[],[f558,f390]) ).
fof(f565,plain,
~ spl26_3,
inference(avatar_contradiction_clause,[],[f564]) ).
fof(f566,plain,
para(sK20,sK25,sK20,sK25),
inference(resolution,[],[f534,f458]) ).
fof(f567,plain,
( $false
| ~ spl26_4 ),
inference(forward_subsumption_resolution,[],[f566,f425]) ).
fof(f568,plain,
~ spl26_4,
inference(avatar_contradiction_clause,[],[f567]) ).
cnf(s2,plain,
( spl26_3
| spl26_4 ),
inference(sat_conversion,[],[f426]) ).
cnf(s3,plain,
~ spl26_3,
inference(sat_conversion,[],[f565]) ).
cnf(s4,plain,
~ spl26_4,
inference(sat_conversion,[],[f568]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
fof(f569,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO594+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/10.61 % Computer : n006.cluster.edu
% 0.12/10.61 % Model : x86_64 x86_64
% 0.12/10.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.61 % Memory : 8046.5625MB
% 0.12/10.61 % OS : Linux 6.8.0-71-generic
% 0.12/10.61 % CPULimit : 300
% 0.12/10.61 % WCLimit : 300
% 0.12/10.61 % DateTime : Sun Sep 27 08:35:38 UTC 2026
% 0.12/10.61 % CPUTime :
% 0.12/10.61 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/10.65 Running first-order theorem proving
% 0.12/10.65 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.75/12.18 % (2689045)Detected formulas, will run a generic FOF schedule.
% 7.75/12.18 % (2689052)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=2424804098:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.75/12.18 % (2689051)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=827539275:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.75/12.18 % (2689050)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=3222903274:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.75/12.18 % (2689055)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3457191971:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.75/12.18 % (2689054)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1498121472:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.75/12.18 % (2689053)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=324327074:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.75/12.18 % (2689056)dis-21_1_sil=8000:lcm=predicate:random_seed=348905283: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)
% 7.75/12.18 % (2689053)Instruction limit reached!
% 7.75/12.18 % (2689053)------------------------------
% 7.75/12.18 % (2689053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/12.18 % (2689053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/12.18 % (2689053)CaDiCaL version: 2.1.3
% 7.75/12.18 % (2689053)Termination reason: Instruction limit
% 7.75/12.18 % (2689053)Termination phase: Saturation
% 7.75/12.18 % (2689053)Time elapsed: 0.070 s
% 7.75/12.18 % (2689053)Peak memory usage: 89 MB
% 7.75/12.18 % (2689053)Instructions burned: 110 (million)
% 7.75/12.18 % (2689054)Instruction limit reached!
% 7.75/12.18 % (2689054)------------------------------
% 7.75/12.18 % (2689054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/12.18 % (2689054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/12.18 % (2689054)CaDiCaL version: 2.1.3
% 7.75/12.18 % (2689054)Termination reason: Instruction limit
% 7.75/12.18 % (2689054)Termination phase: Saturation
% 7.75/12.18 % (2689054)Time elapsed: 0.070 s
% 7.75/12.18 % (2689054)Peak memory usage: 88 MB
% 7.75/12.18 % (2689054)Instructions burned: 121 (million)
% 7.75/12.18 % (2689056)Instruction limit reached!
% 7.75/12.18 % (2689056)------------------------------
% 7.75/12.18 % (2689056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/12.18 % (2689056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/12.18 % (2689056)CaDiCaL version: 2.1.3
% 7.75/12.18 % (2689056)Termination reason: Instruction limit
% 7.75/12.18 % (2689056)Termination phase: Saturation
% 7.75/12.18 % (2689056)Time elapsed: 0.075 s
% 7.75/12.18 % (2689056)Peak memory usage: 89 MB
% 7.75/12.18 % (2689056)Instructions burned: 130 (million)
% 7.75/12.18 % (2689055)Instruction limit reached!
% 7.75/12.18 % (2689055)------------------------------
% 7.75/12.18 % (2689055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/12.18 % (2689055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/12.18 % (2689055)CaDiCaL version: 2.1.3
% 7.75/12.18 % (2689055)Termination reason: Instruction limit
% 7.75/12.18 % (2689055)Termination phase: Saturation
% 7.75/12.18 % (2689055)Time elapsed: 0.095 s
% 7.75/12.18 % (2689055)Peak memory usage: 90 MB
% 7.75/12.18 % (2689055)Instructions burned: 140 (million)
% 7.75/12.18 % (2689066)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3092498689:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.75/12.18 % (2689064)lrs+10_1_sil=8000:sp=occurrence:random_seed=446453444:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.75/12.18 % (2689065)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1464576704:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.75/12.18 % (2689067)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=2941455560:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.75/12.18 % (2689065)Instruction limit reached!
% 7.75/12.18 % (2689065)------------------------------
% 7.75/12.18 % (2689065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/12.18 % (2689065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/12.18 % (2689065)CaDiCaL version: 2.1.3
% 7.75/12.18 % (2689065)Termination reason: Instruction limit
% 7.75/12.18 % (2689065)Termination phase: Saturation
% 7.75/12.18 % (2689065)Time elapsed: 0.086 s
% 7.75/12.18 % (2689065)Peak memory usage: 90 MB
% 7.75/12.18 % (2689065)Instructions burned: 157 (million)
% 7.75/12.18 % (2689066)Instruction limit reached!
% 7.75/12.18 % (2689066)------------------------------
% 7.75/12.18 % (2689066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/12.18 % (2689066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/12.18 % (2689066)CaDiCaL version: 2.1.3
% 7.75/12.18 % (2689066)Termination reason: Instruction limit
% 7.75/12.18 % (2689066)Termination phase: Saturation
% 7.75/12.18 % (2689066)Time elapsed: 0.110 s
% 7.75/12.18 % (2689066)Peak memory usage: 88 MB
% 7.75/12.18 % (2689066)Instructions burned: 327 (million)
% 7.75/12.18 % (2689064)Instruction limit reached!
% 7.75/12.18 % (2689064)------------------------------
% 7.75/12.18 % (2689064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/12.18 % (2689064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/12.18 % (2689064)CaDiCaL version: 2.1.3
% 7.75/12.18 % (2689064)Termination reason: Instruction limit
% 7.75/12.18 % (2689064)Termination phase: Saturation
% 7.75/12.18 % (2689064)Time elapsed: 0.185 s
% 7.75/12.18 % (2689064)Peak memory usage: 92 MB
% 7.75/12.18 % (2689064)Instructions burned: 286 (million)
% 7.75/12.18 % (2689067)Instruction limit reached!
% 7.75/12.18 % (2689067)------------------------------
% 7.75/12.18 % (2689067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/12.18 % (2689067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/12.18 % (2689067)CaDiCaL version: 2.1.3
% 7.75/12.18 % (2689067)Termination reason: Instruction limit
% 7.75/12.18 % (2689067)Termination phase: Saturation
% 7.75/12.18 % (2689067)Time elapsed: 0.167 s
% 7.75/12.18 % (2689067)Peak memory usage: 91 MB
% 7.75/12.18 % (2689067)Instructions burned: 249 (million)
% 7.75/12.18 % (2689072)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2649289835:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.75/12.18 % (2689073)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=190309504:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.75/12.18 % (2689075)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2448057877:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.75/12.18 % (2689074)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3252194236:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.75/12.18 % (2689074)Instruction limit reached!
% 7.75/12.18 % (2689074)------------------------------
% 7.75/12.18 % (2689074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/12.18 % (2689074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/12.18 % (2689074)CaDiCaL version: 2.1.3
% 7.75/12.18 % (2689074)Termination reason: Instruction limit
% 7.75/12.18 % (2689074)Termination phase: Saturation
% 7.75/12.18 % (2689074)Time elapsed: 0.064 s
% 7.75/12.18 % (2689074)Peak memory usage: 89 MB
% 7.75/12.18 % (2689074)Instructions burned: 113 (million)
% 7.75/12.18 % (2689072)Instruction limit reached!
% 7.75/12.18 % (2689072)------------------------------
% 7.75/12.18 % (2689072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/12.18 % (2689072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/12.18 % (2689072)CaDiCaL version: 2.1.3
% 7.75/12.18 % (2689072)Termination reason: Instruction limit
% 7.75/12.18 % (2689072)Termination phase: Saturation
% 7.75/12.18 % (2689072)Time elapsed: 0.169 s
% 7.75/12.18 % (2689072)Peak memory usage: 89 MB
% 7.75/12.18 % (2689072)Instructions burned: 294 (million)
% 7.75/12.18 % (2689075)Instruction limit reached!
% 7.75/12.18 % (2689075)------------------------------
% 7.75/12.18 % (2689075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/12.18 % (2689075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/12.18 % (2689075)CaDiCaL version: 2.1.3
% 7.75/12.18 % (2689075)Termination reason: Instruction limit
% 7.75/12.18 % (2689075)Termination phase: Saturation
% 7.75/12.18 % (2689075)Time elapsed: 0.070 s
% 7.75/12.18 % (2689075)Peak memory usage: 89 MB
% 7.75/12.18 % (2689075)Instructions burned: 127 (million)
% 7.75/12.18 % (2689050)First to succeed.
% 7.75/12.18 % (2689050)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2689045"
% 7.75/12.18 % (2689051)Also succeeded, but the first one will report.
% 7.75/12.18 % (2689080)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=240054438:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.75/12.18 % (2689081)lrs+10_1_sil=8000:sp=occurrence:random_seed=2434937194:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.75/12.18 % (2689082)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=497272594:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.75/12.18 % (2689080)Instruction limit reached!
% 7.75/12.18 % (2689080)------------------------------
% 7.75/12.18 % (2689080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/12.18 % (2689080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/12.18 % (2689080)CaDiCaL version: 2.1.3
% 7.75/12.18 % (2689080)Termination reason: Instruction limit
% 7.75/12.18 % (2689080)Termination phase: Saturation
% 7.75/12.18 % (2689080)Time elapsed: 0.064 s
% 7.75/12.18 % (2689080)Peak memory usage: 90 MB
% 7.75/12.18 % (2689080)Instructions burned: 115 (million)
% 7.75/12.18 % (2689050)Refutation found. Thanks to Tanya!
% 7.75/12.18 % SZS status Theorem for theBenchmark
% 7.75/12.18 % SZS output start Proof for theBenchmark
% See solution above
% 8.21/12.37 % (2689050)------------------------------
% 8.21/12.37 % (2689050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.21/12.37 % (2689050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.21/12.37 % (2689050)CaDiCaL version: 2.1.3
% 8.21/12.37 % (2689050)Termination reason: Refutation
% 8.21/12.37 % (2689050)Time elapsed: 0.655 s
% 8.21/12.37 % (2689050)Peak memory usage: 131 MB
% 8.21/12.37 % (2689050)Instructions burned: 991 (million)
% 8.21/12.37 % (2689050)------------------------------
% 8.21/12.37 % (2689050)------------------------------
% 8.21/12.37 % (2689045)Success in time 1.087 s
% 8.21/12.37 % Vampire exiting
%------------------------------------------------------------------------------