%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO605+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 : n004.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 09:53:03 AM UTC 2026
% Result : Theorem 6.11s 1.95s
% Output : Refutation 8.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 10 unt; 2 def)
% Number of atoms : 291 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 309 ( 110 ~; 105 |; 77 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 384 ( 0 sgn 362 !; 22 ?)
% 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(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/sandbox2/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/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(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,X6,X7,X8,X9,X10] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X1,X3,X1,X4)
& perp(X2,X3,X2,X5)
& coll(X4,X2,X3)
& coll(X5,X1,X3)
& midp(X6,X5,X4)
& midp(X8,X1,X3)
& perp(X1,X3,X8,X7)
& midp(X9,X1,X2)
& perp(X1,X2,X9,X7)
& midp(X10,X3,X2)
& perp(X3,X2,X10,X7) )
=> perp(X6,X1,X1,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618067) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X1,X3,X1,X4)
& perp(X2,X3,X2,X5)
& coll(X4,X2,X3)
& coll(X5,X1,X3)
& midp(X6,X5,X4)
& midp(X8,X1,X3)
& perp(X1,X3,X8,X7)
& midp(X9,X1,X2)
& perp(X1,X2,X9,X7)
& midp(X10,X3,X2)
& perp(X3,X2,X10,X7) )
=> perp(X6,X1,X1,X7) ),
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(f110,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(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X6,X1,X1,X7)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X1,X3,X1,X4)
& perp(X2,X3,X2,X5)
& coll(X4,X2,X3)
& coll(X5,X1,X3)
& midp(X6,X5,X4)
& midp(X8,X1,X3)
& perp(X1,X3,X8,X7)
& midp(X9,X1,X2)
& perp(X1,X2,X9,X7)
& midp(X10,X3,X2)
& perp(X3,X2,X10,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X6,X1,X1,X7)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X1,X3,X1,X4)
& perp(X2,X3,X2,X5)
& coll(X4,X2,X3)
& coll(X5,X1,X3)
& midp(X6,X5,X4)
& midp(X8,X1,X3)
& perp(X1,X3,X8,X7)
& midp(X9,X1,X2)
& perp(X1,X2,X9,X7)
& midp(X10,X3,X2)
& perp(X3,X2,X10,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK26,sK21,sK21,sK27)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& perp(sK21,sK23,sK21,sK24)
& perp(sK22,sK23,sK22,sK25)
& coll(sK24,sK22,sK23)
& coll(sK25,sK21,sK23)
& midp(sK26,sK25,sK24)
& midp(sK28,sK21,sK23)
& perp(sK21,sK23,sK28,sK27)
& midp(sK29,sK21,sK22)
& perp(sK21,sK22,sK29,sK27)
& midp(sK30,sK23,sK22)
& perp(sK23,sK22,sK30,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30)],[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(f280,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,[],[f111]) ).
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(f388,plain,
perp(sK21,sK23,sK28,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f398,plain,
~ perp(sK26,sK21,sK21,sK27),
inference(cnf_transformation,[],[f270]) ).
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(f402,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK21,sK23)
| para(X0,X1,sK28,sK27) ),
inference(resolution,[],[f388,f279]) ).
fof(f404,plain,
perp(sK28,sK27,sK21,sK23),
inference(resolution,[],[f388,f278]) ).
fof(f406,plain,
para(sK28,sK27,sK28,sK27),
inference(resolution,[],[f404,f402]) ).
fof(f471,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(f475,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f471,f309]) ).
fof(f479,definition,
( spl31_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f480,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl31_1 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f482,definition,
( spl31_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f483,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f484,plain,
( spl31_1
| spl31_2 ),
inference(avatar_split_clause,[],[f475,f482,f479]) ).
fof(f485,plain,
( $false
| ~ spl31_2 ),
inference(resolution,[],[f483,f406]) ).
fof(f492,plain,
~ spl31_2,
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f507,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(f510,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f507,f312]) ).
fof(f511,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f507,f313]) ).
fof(f518,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f511,f480]) ).
fof(f519,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f510,f480]) ).
fof(f520,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f519,f518]) ).
fof(f521,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl31_1 ),
inference(resolution,[],[f520,f287]) ).
fof(f527,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f521,f520]) ).
fof(f530,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl31_1 ),
inference(resolution,[],[f527,f400]) ).
fof(f533,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f530,f527]) ).
fof(f535,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f533,f527]) ).
fof(f536,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl31_1 ),
inference(resolution,[],[f535,f327]) ).
fof(f537,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f536,f535]) ).
fof(f538,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl31_1 ),
inference(resolution,[],[f537,f279]) ).
fof(f539,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) )
| ~ spl31_1 ),
inference(resolution,[],[f537,f280]) ).
fof(f540,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl31_1 ),
inference(resolution,[],[f537,f278]) ).
fof(f546,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f538,f540]) ).
fof(f552,plain,
( ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3)
| ~ spl31_1 ),
inference(resolution,[],[f539,f546]) ).
fof(f561,plain,
( $false
| ~ spl31_1 ),
inference(resolution,[],[f552,f398]) ).
fof(f562,plain,
~ spl31_1,
inference(avatar_contradiction_clause,[],[f561]) ).
cnf(s1,plain,
( spl31_1
| spl31_2 ),
inference(sat_conversion,[],[f484]) ).
cnf(s5,plain,
~ spl31_2,
inference(sat_conversion,[],[f492]) ).
cnf(s6,plain,
~ spl31_1,
inference(sat_conversion,[],[f562]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s5,s6]) ).
fof(f563,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO605+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n004.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 08:37:52 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 6.11/1.95 % (3201961)Detected formulas, will run a generic FOF schedule.
% 6.11/1.95 % (3201972)dis-21_1_sil=8000:lcm=predicate:random_seed=102249984:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.11/1.95 % (3201970)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=527354386:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.11/1.95 % (3201967)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=2531784004:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.11/1.95 % (3201968)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=2679262785:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.11/1.95 % (3201966)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=1731681674:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.11/1.95 % (3201969)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=447233094:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.11/1.95 % (3201972)Instruction limit reached!
% 6.11/1.95 % (3201972)------------------------------
% 6.11/1.95 % (3201972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201972)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201972)Termination reason: Instruction limit
% 6.11/1.95 % (3201972)Termination phase: Saturation
% 6.11/1.95 % (3201972)Time elapsed: 0.042 s
% 6.11/1.95 % (3201972)Peak memory usage: 90 MB
% 6.11/1.95 % (3201972)Instructions burned: 129 (million)
% 6.11/1.95 % (3201971)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3109848231:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.11/1.95 % (3201970)Instruction limit reached!
% 6.11/1.95 % (3201970)------------------------------
% 6.11/1.95 % (3201970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201970)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201970)Termination reason: Instruction limit
% 6.11/1.95 % (3201970)Termination phase: Saturation
% 6.11/1.95 % (3201970)Time elapsed: 0.069 s
% 6.11/1.95 % (3201970)Peak memory usage: 88 MB
% 6.11/1.95 % (3201970)Instructions burned: 120 (million)
% 6.11/1.95 % (3201969)Instruction limit reached!
% 6.11/1.95 % (3201969)------------------------------
% 6.11/1.95 % (3201969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201969)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201969)Termination reason: Instruction limit
% 6.11/1.95 % (3201969)Termination phase: Saturation
% 6.11/1.95 % (3201969)Time elapsed: 0.064 s
% 6.11/1.95 % (3201969)Peak memory usage: 89 MB
% 6.11/1.95 % (3201969)Instructions burned: 109 (million)
% 6.11/1.95 % (3201979)lrs+10_1_sil=8000:sp=occurrence:random_seed=675961784:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.11/1.95 % (3201971)Instruction limit reached!
% 6.11/1.95 % (3201971)------------------------------
% 6.11/1.95 % (3201971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201971)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201971)Termination reason: Instruction limit
% 6.11/1.95 % (3201971)Termination phase: Saturation
% 6.11/1.95 % (3201971)Time elapsed: 0.094 s
% 6.11/1.95 % (3201971)Peak memory usage: 90 MB
% 6.11/1.95 % (3201971)Instructions burned: 140 (million)
% 6.11/1.95 % (3201982)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2356160417:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.11/1.95 % (3201981)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2896784781:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.11/1.95 % (3201979)Instruction limit reached!
% 6.11/1.95 % (3201979)------------------------------
% 6.11/1.95 % (3201979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201979)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201979)Termination reason: Instruction limit
% 6.11/1.95 % (3201979)Termination phase: Saturation
% 6.11/1.95 % (3201979)Time elapsed: 0.100 s
% 6.11/1.95 % (3201979)Peak memory usage: 92 MB
% 6.11/1.95 % (3201979)Instructions burned: 286 (million)
% 6.11/1.95 % (3201984)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=881521231:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.11/1.95 % (3201987)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1629804278:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.11/1.95 % (3201981)Instruction limit reached!
% 6.11/1.95 % (3201981)------------------------------
% 6.11/1.95 % (3201981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201981)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201981)Termination reason: Instruction limit
% 6.11/1.95 % (3201981)Termination phase: Saturation
% 6.11/1.95 % (3201981)Time elapsed: 0.084 s
% 6.11/1.95 % (3201981)Peak memory usage: 90 MB
% 6.11/1.95 % (3201981)Instructions burned: 158 (million)
% 6.11/1.95 % (3201987)Instruction limit reached!
% 6.11/1.95 % (3201987)------------------------------
% 6.11/1.95 % (3201987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201987)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201987)Termination reason: Instruction limit
% 6.11/1.95 % (3201987)Termination phase: Saturation
% 6.11/1.95 % (3201987)Time elapsed: 0.090 s
% 6.11/1.95 % (3201987)Peak memory usage: 89 MB
% 6.11/1.95 % (3201987)Instructions burned: 297 (million)
% 6.11/1.95 % (3201984)Instruction limit reached!
% 6.11/1.95 % (3201984)------------------------------
% 6.11/1.95 % (3201984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201984)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201984)Termination reason: Instruction limit
% 6.11/1.95 % (3201984)Termination phase: Saturation
% 6.11/1.95 % (3201984)Time elapsed: 0.139 s
% 6.11/1.95 % (3201984)Peak memory usage: 91 MB
% 6.11/1.95 % (3201984)Instructions burned: 250 (million)
% 6.11/1.95 % (3201990)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1249918186:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.11/1.95 % (3201982)Instruction limit reached!
% 6.11/1.95 % (3201982)------------------------------
% 6.11/1.95 % (3201982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201982)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201982)Termination reason: Instruction limit
% 6.11/1.95 % (3201982)Termination phase: Saturation
% 6.11/1.95 % (3201982)Time elapsed: 0.221 s
% 6.11/1.95 % (3201982)Peak memory usage: 92 MB
% 6.11/1.95 % (3201982)Instructions burned: 325 (million)
% 6.11/1.95 % (3201991)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2272971647:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.11/1.95 % (3201991)Instruction limit reached!
% 6.11/1.95 % (3201991)------------------------------
% 6.11/1.95 % (3201991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201991)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201991)Termination reason: Instruction limit
% 6.11/1.95 % (3201991)Termination phase: Saturation
% 6.11/1.95 % (3201991)Time elapsed: 0.035 s
% 6.11/1.95 % (3201991)Peak memory usage: 90 MB
% 6.11/1.95 % (3201991)Instructions burned: 114 (million)
% 6.11/1.95 % (3201992)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4084626252:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.11/1.95 % (3201994)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2920538224:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.11/1.95 % (3201996)lrs+10_1_sil=8000:sp=occurrence:random_seed=807391137:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.11/1.95 % (3201992)Instruction limit reached!
% 6.11/1.95 % (3201992)------------------------------
% 6.11/1.95 % (3201992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201992)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201992)Termination reason: Instruction limit
% 6.11/1.95 % (3201992)Termination phase: Saturation
% 6.11/1.95 % (3201992)Time elapsed: 0.070 s
% 6.11/1.95 % (3201992)Peak memory usage: 89 MB
% 6.11/1.95 % (3201992)Instructions burned: 128 (million)
% 6.11/1.95 % (3201994)Instruction limit reached!
% 6.11/1.95 % (3201994)------------------------------
% 6.11/1.95 % (3201994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201994)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201994)Termination reason: Instruction limit
% 6.11/1.95 % (3201994)Termination phase: Saturation
% 6.11/1.95 % (3201994)Time elapsed: 0.063 s
% 6.11/1.95 % (3201994)Peak memory usage: 89 MB
% 6.11/1.95 % (3201994)Instructions burned: 115 (million)
% 6.11/1.95 % (3201966)First to succeed.
% 6.11/1.95 % (3201966)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3201961"
% 6.11/1.95 % (3202000)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1926386676:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.11/1.95 % (3202000)Refutation not found, incomplete strategy
% 6.11/1.95 % (3202000)------------------------------
% 6.11/1.95 % (3202000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3202000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3202000)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3202000)Termination reason: Refutation not found, incomplete strategy
% 6.11/1.95 % (3202000)Time elapsed: 0.003 s
% 6.11/1.95 % (3202000)Peak memory usage: 88 MB
% 6.11/1.95 % (3202000)Instructions burned: 4 (million)
% 6.11/1.95 % (3202001)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1893243522:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.11/1.95 % (3201967)Also succeeded, but the first one will report.
% 6.11/1.95 % (3201996)Instruction limit reached!
% 6.11/1.95 % (3201996)------------------------------
% 6.11/1.95 % (3201996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.11/1.95 % (3201996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.95 % (3201996)CaDiCaL version: 2.1.3
% 6.11/1.95 % (3201996)Termination reason: Instruction limit
% 6.11/1.95 % (3201996)Termination phase: Saturation
% 6.11/1.95 % (3201996)Time elapsed: 0.299 s
% 6.11/1.95 % (3201996)Peak memory usage: 99 MB
% 6.11/1.95 % (3201996)Instructions burned: 910 (million)
% 6.11/1.95 % (3201966)Refutation found. Thanks to Tanya!
% 6.11/1.95 % SZS status Theorem for theBenchmark
% 6.11/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 8.07/2.04 % (3201966)------------------------------
% 8.07/2.04 % (3201966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.07/2.04 % (3201966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.07/2.04 % (3201966)CaDiCaL version: 2.1.3
% 8.07/2.04 % (3201966)Termination reason: Refutation
% 8.07/2.04 % (3201966)Time elapsed: 0.660 s
% 8.07/2.04 % (3201966)Peak memory usage: 131 MB
% 8.07/2.04 % (3201966)Instructions burned: 995 (million)
% 8.07/2.04 % (3201966)------------------------------
% 8.07/2.04 % (3201966)------------------------------
% 8.07/2.04 % (3201961)Success in time 1.067 s
% 8.07/2.04 % Vampire exiting
%------------------------------------------------------------------------------