%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO619+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 : 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 09:53:05 AM UTC 2026
% Result : Theorem 6.51s 1.98s
% Output : Refutation 8.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 100 ( 10 unt; 2 def)
% Number of atoms : 296 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 319 ( 123 ~; 117 |; 61 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 407 ( 0 sgn 383 !; 24 ?)
% 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(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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/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/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,X7,X8,X9,X10,X11] :
( ( perp(X2,X0,X2,X1)
& cong(X0,X2,X1,X2)
& coll(X3,X0,X1)
& eqangle(X4,X2,X2,X0,X0,X2,X2,X3)
& coll(X4,X0,X1)
& midp(X5,X3,X4)
& circle(X5,X4,X8,X9)
& coll(X6,X2,X4)
& circle(X5,X4,X6,X10)
& coll(X7,X2,X3)
& circle(X5,X4,X7,X11) )
=> cong(X3,X6,X3,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110981) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( perp(X2,X0,X2,X1)
& cong(X0,X2,X1,X2)
& coll(X3,X0,X1)
& eqangle(X4,X2,X2,X0,X0,X2,X2,X3)
& coll(X4,X0,X1)
& midp(X5,X3,X4)
& circle(X5,X4,X8,X9)
& coll(X6,X2,X4)
& circle(X5,X4,X6,X10)
& coll(X7,X2,X3)
& circle(X5,X4,X7,X11) )
=> cong(X3,X6,X3,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(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,X6,X7,X8,X9,X10,X11] :
( ~ cong(X3,X6,X3,X7)
& perp(X2,X0,X2,X1)
& cong(X0,X2,X1,X2)
& coll(X3,X0,X1)
& eqangle(X4,X2,X2,X0,X0,X2,X2,X3)
& coll(X4,X0,X1)
& midp(X5,X3,X4)
& circle(X5,X4,X8,X9)
& coll(X6,X2,X4)
& circle(X5,X4,X6,X10)
& coll(X7,X2,X3)
& circle(X5,X4,X7,X11) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cong(X3,X6,X3,X7)
& perp(X2,X0,X2,X1)
& cong(X0,X2,X1,X2)
& coll(X3,X0,X1)
& eqangle(X4,X2,X2,X0,X0,X2,X2,X3)
& coll(X4,X0,X1)
& midp(X5,X3,X4)
& circle(X5,X4,X8,X9)
& coll(X6,X2,X4)
& circle(X5,X4,X6,X10)
& coll(X7,X2,X3)
& circle(X5,X4,X7,X11) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cong(sK23,sK26,sK23,sK27)
& perp(sK22,sK20,sK22,sK21)
& cong(sK20,sK22,sK21,sK22)
& coll(sK23,sK20,sK21)
& eqangle(sK24,sK22,sK22,sK20,sK20,sK22,sK22,sK23)
& coll(sK24,sK20,sK21)
& midp(sK25,sK23,sK24)
& circle(sK25,sK24,sK28,sK29)
& coll(sK26,sK22,sK24)
& circle(sK25,sK24,sK26,sK30)
& coll(sK27,sK22,sK23)
& circle(sK25,sK24,sK27,sK31) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31]),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),skolemize(X11,sK31)],[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(f394,plain,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
~ cong(sK23,sK26,sK23,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f396,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f311,f314]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f396]) ).
fof(f398,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(f416,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(f418,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f416,f309]) ).
fof(f422,definition,
( spl32_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl32_1])],[avatar_definition]) ).
fof(f423,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl32_1 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f425,definition,
( spl32_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl32_2])],[avatar_definition]) ).
fof(f426,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl32_2 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f427,plain,
( spl32_1
| spl32_2 ),
inference(avatar_split_clause,[],[f418,f425,f422]) ).
fof(f440,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(f456,plain,
perp(sK22,sK21,sK22,sK20),
inference(resolution,[],[f278,f394]) ).
fof(f482,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f440]) ).
fof(f484,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK20)
| para(X0,X1,sK22,sK21) ),
inference(resolution,[],[f279,f394]) ).
fof(f489,plain,
para(sK22,sK21,sK22,sK21),
inference(resolution,[],[f484,f456]) ).
fof(f491,plain,
( $false
| ~ spl32_2 ),
inference(forward_subsumption_resolution,[],[f489,f426]) ).
fof(f492,plain,
~ spl32_2,
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f494,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f482,f423]) ).
fof(f512,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f440]) ).
fof(f515,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f512,f494]) ).
fof(f518,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f515,f423]) ).
fof(f519,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl32_1 ),
inference(resolution,[],[f518,f287]) ).
fof(f526,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f519,f518]) ).
fof(f529,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl32_1 ),
inference(resolution,[],[f526,f397]) ).
fof(f530,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) )
| ~ spl32_1 ),
inference(resolution,[],[f526,f398]) ).
fof(f532,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f530,f526]) ).
fof(f533,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f529,f526]) ).
fof(f534,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X2,X0,X2,X3)
| cong(X0,X1,X3,X1) )
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f532,f526]) ).
fof(f535,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f533,f526]) ).
fof(f536,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl32_1 ),
inference(resolution,[],[f535,f327]) ).
fof(f541,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f536,f535]) ).
fof(f542,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl32_1 ),
inference(resolution,[],[f541,f279]) ).
fof(f543,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl32_1 ),
inference(resolution,[],[f541,f278]) ).
fof(f547,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f542,f543]) ).
fof(f561,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
| ~ spl32_1 ),
inference(resolution,[],[f534,f547]) ).
fof(f565,plain,
( ! [X2,X0,X1] : cong(X0,X1,X1,X2)
| ~ spl32_1 ),
inference(resolution,[],[f561,f293]) ).
fof(f571,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X0)
| ~ spl32_1 ),
inference(resolution,[],[f565,f294]) ).
fof(f578,plain,
( ! [X2,X0,X1] : cong(X0,X1,X0,X2)
| ~ spl32_1 ),
inference(resolution,[],[f571,f293]) ).
fof(f586,plain,
( $false
| ~ spl32_1 ),
inference(resolution,[],[f578,f395]) ).
fof(f587,plain,
~ spl32_1,
inference(avatar_contradiction_clause,[],[f586]) ).
cnf(s1,plain,
( spl32_1
| spl32_2 ),
inference(sat_conversion,[],[f427]) ).
cnf(s2,plain,
~ spl32_2,
inference(sat_conversion,[],[f492]) ).
cnf(s3,plain,
~ spl32_1,
inference(sat_conversion,[],[f587]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f588,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO619+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 08:39:10 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 6.51/1.98 % (2689896)Detected formulas, will run a generic FOF schedule.
% 6.51/1.98 % (2689905)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=54387143:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.51/1.98 % (2689905)Instruction limit reached!
% 6.51/1.98 % (2689905)------------------------------
% 6.51/1.98 % (2689905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.98 % (2689905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.98 % (2689905)CaDiCaL version: 2.1.3
% 6.51/1.98 % (2689907)dis-21_1_sil=8000:lcm=predicate:random_seed=1612793185: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)
% 6.51/1.98 % (2689901)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=2539180823:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.51/1.98 % (2689906)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1086482111:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.51/1.98 % (2689903)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=3960251324:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.51/1.98 % (2689905)Termination reason: Instruction limit
% 6.51/1.98 % (2689905)Termination phase: Saturation
% 6.51/1.98 % (2689902)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=272155004:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.51/1.98 % (2689905)Time elapsed: 0.038 s
% 6.51/1.98 % (2689905)Peak memory usage: 89 MB
% 6.51/1.98 % (2689905)Instructions burned: 119 (million)
% 6.51/1.98 % (2689904)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2344317376:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.51/1.98 % (2689904)Instruction limit reached!
% 6.51/1.98 % (2689904)------------------------------
% 6.51/1.98 % (2689904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.98 % (2689904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.98 % (2689904)CaDiCaL version: 2.1.3
% 6.51/1.98 % (2689904)Termination reason: Instruction limit
% 6.51/1.98 % (2689904)Termination phase: Saturation
% 6.51/1.98 % (2689904)Time elapsed: 0.070 s
% 6.51/1.98 % (2689904)Peak memory usage: 90 MB
% 6.51/1.98 % (2689904)Instructions burned: 110 (million)
% 6.51/1.98 % (2689907)Instruction limit reached!
% 6.51/1.98 % (2689907)------------------------------
% 6.51/1.98 % (2689907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.98 % (2689907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.98 % (2689907)CaDiCaL version: 2.1.3
% 6.51/1.98 % (2689907)Termination reason: Instruction limit
% 6.51/1.98 % (2689907)Termination phase: Saturation
% 6.51/1.98 % (2689907)Time elapsed: 0.077 s
% 6.51/1.98 % (2689907)Peak memory usage: 89 MB
% 6.51/1.98 % (2689907)Instructions burned: 130 (million)
% 6.51/1.98 % (2689906)Instruction limit reached!
% 6.51/1.98 % (2689906)------------------------------
% 6.51/1.98 % (2689906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.98 % (2689906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.98 % (2689906)CaDiCaL version: 2.1.3
% 6.51/1.98 % (2689906)Termination reason: Instruction limit
% 6.51/1.98 % (2689906)Termination phase: Saturation
% 6.51/1.98 % (2689906)Time elapsed: 0.096 s
% 6.51/1.98 % (2689906)Peak memory usage: 90 MB
% 6.51/1.98 % (2689906)Instructions burned: 139 (million)
% 6.51/1.98 % (2689915)lrs+10_1_sil=8000:sp=occurrence:random_seed=4128006306:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.51/1.98 % (2689917)lrs+1011_1_sil=32000:sp=occurrence:random_seed=702817717:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.51/1.98 % (2689916)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2794034123:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.51/1.98 % (2689915)Instruction limit reached!
% 6.51/1.98 % (2689915)------------------------------
% 6.51/1.98 % (2689915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.98 % (2689915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.98 % (2689915)CaDiCaL version: 2.1.3
% 6.51/1.98 % (2689915)Termination reason: Instruction limit
% 6.51/1.98 % (2689915)Termination phase: Saturation
% 6.51/1.98 % (2689915)Time elapsed: 0.103 s
% 6.51/1.98 % (2689915)Peak memory usage: 93 MB
% 6.51/1.98 % (2689915)Instructions burned: 286 (million)
% 6.51/1.98 % (2689918)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=3073663494:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.51/1.98 % (2689916)Instruction limit reached!
% 6.51/1.98 % (2689916)------------------------------
% 6.51/1.98 % (2689916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.98 % (2689916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.98 % (2689916)CaDiCaL version: 2.1.3
% 6.51/1.98 % (2689916)Termination reason: Instruction limit
% 6.51/1.98 % (2689916)Termination phase: Saturation
% 6.51/1.98 % (2689916)Time elapsed: 0.086 s
% 6.51/1.98 % (2689916)Peak memory usage: 90 MB
% 6.51/1.98 % (2689916)Instructions burned: 157 (million)
% 6.51/1.98 % (2689922)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3782637977:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.51/1.98 % (2689918)Instruction limit reached!
% 6.51/1.98 % (2689918)------------------------------
% 6.51/1.98 % (2689918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.98 % (2689918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.98 % (2689918)CaDiCaL version: 2.1.3
% 6.51/1.98 % (2689918)Termination reason: Instruction limit
% 6.51/1.98 % (2689918)Termination phase: Saturation
% 6.51/1.98 % (2689918)Time elapsed: 0.140 s
% 6.51/1.98 % (2689918)Peak memory usage: 91 MB
% 6.51/1.98 % (2689918)Instructions burned: 248 (million)
% 6.51/1.98 % (2689917)Instruction limit reached!
% 6.51/1.98 % (2689917)------------------------------
% 6.51/1.98 % (2689917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.98 % (2689917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.98 % (2689917)CaDiCaL version: 2.1.3
% 6.51/1.98 % (2689917)Termination reason: Instruction limit
% 6.51/1.98 % (2689917)Termination phase: Saturation
% 6.51/1.98 % (2689917)Time elapsed: 0.214 s
% 6.51/1.98 % (2689917)Peak memory usage: 92 MB
% 6.51/1.98 % (2689917)Instructions burned: 326 (million)
% 6.51/1.98 % (2689922)Instruction limit reached!
% 6.51/1.98 % (2689922)------------------------------
% 6.51/1.98 % (2689922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.98 % (2689922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.98 % (2689922)CaDiCaL version: 2.1.3
% 6.51/1.98 % (2689922)Termination reason: Instruction limit
% 6.51/1.98 % (2689922)Termination phase: Saturation
% 6.51/1.98 % (2689922)Time elapsed: 0.092 s
% 6.51/1.98 % (2689922)Peak memory usage: 89 MB
% 6.51/1.98 % (2689922)Instructions burned: 295 (million)
% 6.51/1.98 % (2689924)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1384855962:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.51/1.98 % (2689926)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4093670803:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.51/1.98 % (2689928)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=94192715:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.51/1.98 % (2689927)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2430693614:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.51/1.98 % (2689928)Instruction limit reached!
% 6.51/1.98 % (2689928)------------------------------
% 6.51/1.98 % (2689928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.98 % (2689928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.98 % (2689928)CaDiCaL version: 2.1.3
% 6.51/1.98 % (2689928)Termination reason: Instruction limit
% 6.51/1.98 % (2689928)Termination phase: Saturation
% 6.51/1.98 % (2689928)Time elapsed: 0.034 s
% 6.51/1.98 % (2689928)Peak memory usage: 90 MB
% 6.51/1.98 % (2689928)Instructions burned: 115 (million)
% 6.51/1.98 % (2689926)Instruction limit reached!
% 6.51/1.98 % (2689926)------------------------------
% 6.51/1.98 % (2689926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.98 % (2689926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.98 % (2689926)CaDiCaL version: 2.1.3
% 6.51/1.98 % (2689926)Termination reason: Instruction limit
% 6.51/1.98 % (2689926)Termination phase: Saturation
% 6.51/1.98 % (2689926)Time elapsed: 0.067 s
% 6.51/1.98 % (2689926)Peak memory usage: 90 MB
% 6.51/1.98 % (2689926)Instructions burned: 113 (million)
% 6.51/1.98 % (2689927)Instruction limit reached!
% 6.51/1.98 % (2689927)------------------------------
% 6.51/1.98 % (2689927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.51/1.98 % (2689927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.51/1.98 % (2689927)CaDiCaL version: 2.1.3
% 6.51/1.98 % (2689927)Termination reason: Instruction limit
% 6.51/1.98 % (2689927)Termination phase: Saturation
% 6.51/1.98 % (2689927)Time elapsed: 0.072 s
% 6.51/1.98 % (2689927)Peak memory usage: 89 MB
% 6.51/1.98 % (2689927)Instructions burned: 128 (million)
% 6.51/1.98 % (2689901)First to succeed.
% 6.51/1.98 % (2689901)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2689896"
% 6.51/1.98 % (2689933)lrs+10_1_sil=8000:sp=occurrence:random_seed=2059903438:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.51/1.98 % (2689902)Also succeeded, but the first one will report.
% 6.51/1.98 % (2689934)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3447852527:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.51/1.98 % (2689935)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1434442758:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.51/1.98 % (2689901)Refutation found. Thanks to Tanya!
% 6.51/1.98 % SZS status Theorem for theBenchmark
% 6.51/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 8.46/2.08 % (2689901)------------------------------
% 8.46/2.08 % (2689901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.08 % (2689901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.08 % (2689901)CaDiCaL version: 2.1.3
% 8.46/2.08 % (2689901)Termination reason: Refutation
% 8.46/2.08 % (2689901)Time elapsed: 0.685 s
% 8.46/2.08 % (2689901)Peak memory usage: 130 MB
% 8.46/2.08 % (2689901)Instructions burned: 1003 (million)
% 8.46/2.08 % (2689901)------------------------------
% 8.46/2.08 % (2689901)------------------------------
% 8.46/2.08 % (2689896)Success in time 1.133 s
% 8.46/2.08 % Vampire exiting
%------------------------------------------------------------------------------