%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO570+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 : n005.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 09:52:57 AM UTC 2026
% Result : Theorem 4.97s 1.65s
% Output : Refutation 6.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 20
% Syntax : Number of formulae : 135 ( 10 unt; 4 def)
% Number of atoms : 384 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 423 ( 174 ~; 181 |; 47 &)
% ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 5 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 519 ( 0 sgn 501 !; 18 ?)
% 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(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
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(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD22) ).
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] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& coll(X5,X0,X2)
& coll(X5,X1,X4)
& perp(X6,X5,X2,X4)
& coll(X6,X2,X4)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1) )
=> eqangle(X0,X5,X5,X6,X7,X5,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214032) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& coll(X5,X0,X2)
& coll(X5,X1,X4)
& perp(X6,X5,X2,X4)
& coll(X6,X2,X4)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1) )
=> eqangle(X0,X5,X5,X6,X7,X5,X5,X1) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ eqangle(X0,X5,X5,X6,X7,X5,X5,X1)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& coll(X5,X0,X2)
& coll(X5,X1,X4)
& perp(X6,X5,X2,X4)
& coll(X6,X2,X4)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ eqangle(X0,X5,X5,X6,X7,X5,X5,X1)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& coll(X5,X0,X2)
& coll(X5,X1,X4)
& perp(X6,X5,X2,X4)
& coll(X6,X2,X4)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1) ),
inference(flattening,[],[f98]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(flattening,[],[f133]) ).
fof(f137,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(f145,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(f146,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,[],[f145]) ).
fof(f147,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(f148,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,[],[f147]) ).
fof(f149,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(f150,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,[],[f149]) ).
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,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f156,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f170,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(f171,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(f174,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(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f174]) ).
fof(f211,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(f212,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f211]) ).
fof(f220,plain,
( ~ eqangle(sK0,sK5,sK5,sK6,sK7,sK5,sK5,sK1)
& circle(sK3,sK0,sK1,sK2)
& circle(sK3,sK0,sK4,sK8)
& coll(sK5,sK0,sK2)
& coll(sK5,sK1,sK4)
& perp(sK6,sK5,sK2,sK4)
& coll(sK6,sK2,sK4)
& perp(sK7,sK5,sK0,sK1)
& coll(sK7,sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8)],[f99]) ).
fof(f240,plain,
perp(sK7,sK5,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
~ eqangle(sK0,sK5,sK5,sK6,sK7,sK5,sK5,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f262,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f273,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f134]) ).
fof(f276,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,[],[f137]) ).
fof(f282,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(cnf_transformation,[],[f146]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f284,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,[],[f150]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f286,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f153]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f155]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f300,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f170]) ).
fof(f301,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f171]) ).
fof(f303,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,[],[f175]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f212]) ).
fof(f336,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK7,sK5)
| para(X0,X1,sK0,sK1) ),
inference(resolution,[],[f303,f240]) ).
fof(f338,plain,
perp(sK0,sK1,sK7,sK5),
inference(resolution,[],[f262,f240]) ).
fof(f348,plain,
para(sK0,sK1,sK0,sK1),
inference(resolution,[],[f336,f338]) ).
fof(f349,plain,
! [X0,X1] : eqangle(sK0,sK1,X0,X1,sK0,sK1,X0,X1),
inference(resolution,[],[f348,f300]) ).
fof(f351,plain,
! [X0,X1] : eqangle(X0,X1,sK0,sK1,X0,X1,sK0,sK1),
inference(resolution,[],[f349,f276]) ).
fof(f356,plain,
! [X0] :
( cyclic(sK1,X0,sK0,sK0)
| coll(sK0,sK0,sK1) ),
inference(resolution,[],[f349,f284]) ).
fof(f358,definition,
( spl27_1
<=> coll(sK0,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f359,plain,
( coll(sK0,sK0,sK1)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,definition,
( spl27_2
<=> ! [X0] : cyclic(sK1,X0,sK0,sK0) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f362,plain,
( ! [X0] : cyclic(sK1,X0,sK0,sK0)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f363,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f356,f361,f358]) ).
fof(f365,plain,
( ! [X0,X1] :
( ~ cyclic(sK1,X0,sK0,X1)
| cyclic(X0,sK0,X1,sK0) )
| ~ spl27_2 ),
inference(resolution,[],[f362,f286]) ).
fof(f422,plain,
( ! [X0] : cyclic(X0,sK0,sK0,sK0)
| ~ spl27_2 ),
inference(resolution,[],[f365,f362]) ).
fof(f426,plain,
( ! [X0] : eqangle(sK0,X0,sK0,sK0,sK0,X0,sK0,sK0)
| ~ spl27_2 ),
inference(resolution,[],[f422,f285]) ).
fof(f453,plain,
( ! [X0] : para(sK0,X0,sK0,X0)
| ~ spl27_2 ),
inference(resolution,[],[f426,f301]) ).
fof(f456,plain,
( ! [X2,X0,X1] : eqangle(sK0,X0,X1,X2,sK0,X0,X1,X2)
| ~ spl27_2 ),
inference(resolution,[],[f453,f300]) ).
fof(f458,plain,
( ! [X2,X0,X1] : eqangle(X0,X1,sK0,X2,X0,X1,sK0,X2)
| ~ spl27_2 ),
inference(resolution,[],[f456,f276]) ).
fof(f469,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl27_2 ),
inference(resolution,[],[f458,f301]) ).
fof(f534,plain,
( ! [X0] :
( ~ eqangle(sK0,X0,sK0,sK1,sK0,X0,sK0,sK1)
| cyclic(X0,sK1,sK0,sK0) )
| ~ spl27_1 ),
inference(resolution,[],[f359,f283]) ).
fof(f535,plain,
( ! [X0] : cyclic(X0,sK1,sK0,sK0)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f534,f351]) ).
fof(f538,plain,
( ! [X0] : cyclic(sK1,X0,sK0,sK0)
| ~ spl27_1 ),
inference(resolution,[],[f535,f287]) ).
fof(f542,plain,
( spl27_2
| ~ spl27_1 ),
inference(avatar_split_clause,[],[f538,f358,f361]) ).
fof(f563,plain,
( ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3)
| ~ spl27_2 ),
inference(resolution,[],[f469,f300]) ).
fof(f570,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X1,X2,X2)
| coll(X2,X2,X0) )
| ~ spl27_2 ),
inference(resolution,[],[f563,f284]) ).
fof(f584,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X0,X2,X0)
| coll(X0,X0,X1) )
| ~ spl27_2 ),
inference(resolution,[],[f570,f288]) ).
fof(f590,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X0,X0,X2)
| coll(X0,X0,X1) )
| ~ spl27_2 ),
inference(resolution,[],[f584,f289]) ).
fof(f601,plain,
( ! [X2,X3,X0,X1] :
( coll(X0,X0,X1)
| ~ cyclic(X1,X0,X0,X2)
| cyclic(X0,X0,X2,X3) )
| ~ spl27_2 ),
inference(resolution,[],[f590,f286]) ).
fof(f605,plain,
( ! [X2,X3,X0,X1] :
( coll(X0,X0,X1)
| cyclic(X0,X0,X2,X3) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f601,f590]) ).
fof(f607,plain,
( ! [X2,X3,X0,X1,X4] :
( cyclic(X0,X0,X1,X2)
| ~ eqangle(X0,X3,X0,X4,X0,X3,X0,X4)
| cyclic(X3,X4,X0,X0) )
| ~ spl27_2 ),
inference(resolution,[],[f605,f283]) ).
fof(f617,plain,
( ! [X2,X3,X0,X1,X4] :
( cyclic(X0,X0,X1,X2)
| cyclic(X3,X4,X0,X0) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f607,f563]) ).
fof(f623,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( cyclic(X0,X1,X2,X2)
| ~ cyclic(X2,X2,X3,X4)
| cyclic(X2,X3,X4,X5) )
| ~ spl27_2 ),
inference(resolution,[],[f617,f286]) ).
fof(f635,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( cyclic(X0,X1,X2,X2)
| cyclic(X2,X3,X4,X5) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f623,f617]) ).
fof(f654,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( cyclic(X0,X1,X2,X2)
| ~ cyclic(X2,X3,X4,X5)
| cyclic(X3,X4,X5,X6) )
| ~ spl27_2 ),
inference(resolution,[],[f635,f286]) ).
fof(f666,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( cyclic(X0,X1,X2,X2)
| cyclic(X3,X4,X5,X6) )
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f654,f635]) ).
fof(f669,definition,
( spl27_10
<=> ! [X6,X4,X5,X3] : cyclic(X3,X4,X5,X6) ),
introduced(definition,[new_symbols(definition,[spl27_10])],[avatar_definition]) ).
fof(f670,plain,
( ! [X3,X6,X4,X5] : cyclic(X3,X4,X5,X6)
| ~ spl27_10 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f672,definition,
( spl27_11
<=> ! [X2,X0,X1] : cyclic(X0,X1,X2,X2) ),
introduced(definition,[new_symbols(definition,[spl27_11])],[avatar_definition]) ).
fof(f673,plain,
( ! [X2,X0,X1] : cyclic(X0,X1,X2,X2)
| ~ spl27_11 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f674,plain,
( spl27_10
| spl27_11
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f666,f361,f672,f669]) ).
fof(f676,plain,
( ! [X2,X0,X1] : cyclic(X0,X1,X2,X1)
| ~ spl27_11 ),
inference(resolution,[],[f673,f288]) ).
fof(f689,plain,
( ! [X2,X0,X1] : cyclic(X0,X1,X1,X2)
| ~ spl27_11 ),
inference(resolution,[],[f676,f289]) ).
fof(f701,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X1,X2)
| ~ cyclic(X0,X1,X1,X3)
| cong(X0,X1,X2,X3)
| ~ eqangle(X1,X0,X1,X1,X4,X2,X4,X3) )
| ~ spl27_11 ),
inference(resolution,[],[f689,f282]) ).
fof(f703,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X1,X2)
| cong(X0,X1,X2,X3)
| ~ eqangle(X1,X0,X1,X1,X4,X2,X4,X3) )
| ~ spl27_11 ),
inference(forward_subsumption_resolution,[],[f701,f689]) ).
fof(f705,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ eqangle(X1,X0,X1,X1,X4,X2,X4,X3)
| cong(X0,X1,X2,X3) )
| ~ spl27_11 ),
inference(forward_subsumption_resolution,[],[f703,f689]) ).
fof(f722,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
| ~ spl27_10 ),
inference(resolution,[],[f670,f282]) ).
fof(f724,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f722,f670]) ).
fof(f725,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) )
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f724,f670]) ).
fof(f855,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl27_2
| ~ spl27_11 ),
inference(resolution,[],[f705,f563]) ).
fof(f857,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl27_2
| ~ spl27_11 ),
inference(resolution,[],[f855,f330]) ).
fof(f862,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl27_2
| ~ spl27_11 ),
inference(forward_subsumption_resolution,[],[f857,f855]) ).
fof(f864,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl27_2
| ~ spl27_11 ),
inference(resolution,[],[f862,f262]) ).
fof(f865,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl27_2
| ~ spl27_11 ),
inference(resolution,[],[f862,f303]) ).
fof(f886,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl27_2
| ~ spl27_11 ),
inference(resolution,[],[f865,f864]) ).
fof(f888,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ spl27_2
| ~ spl27_11 ),
inference(resolution,[],[f886,f300]) ).
fof(f890,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ spl27_2
| ~ spl27_11 ),
inference(resolution,[],[f888,f276]) ).
fof(f948,plain,
( $false
| ~ spl27_2
| ~ spl27_11 ),
inference(unit_resulting_resolution,[],[f273,f247,f888,f890]) ).
fof(f961,plain,
( ~ spl27_2
| ~ spl27_11 ),
inference(avatar_contradiction_clause,[],[f948]) ).
fof(f966,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl27_2
| ~ spl27_10 ),
inference(resolution,[],[f725,f563]) ).
fof(f990,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl27_2
| ~ spl27_10 ),
inference(resolution,[],[f966,f330]) ).
fof(f995,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl27_2
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f990,f966]) ).
fof(f997,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl27_2
| ~ spl27_10 ),
inference(resolution,[],[f995,f262]) ).
fof(f998,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl27_2
| ~ spl27_10 ),
inference(resolution,[],[f995,f303]) ).
fof(f1014,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl27_2
| ~ spl27_10 ),
inference(resolution,[],[f998,f997]) ).
fof(f1016,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ spl27_2
| ~ spl27_10 ),
inference(resolution,[],[f1014,f300]) ).
fof(f1018,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ spl27_2
| ~ spl27_10 ),
inference(resolution,[],[f1016,f276]) ).
fof(f1073,plain,
( $false
| ~ spl27_2
| ~ spl27_10 ),
inference(unit_resulting_resolution,[],[f273,f247,f1016,f1018]) ).
fof(f1085,plain,
( ~ spl27_2
| ~ spl27_10 ),
inference(avatar_contradiction_clause,[],[f1073]) ).
cnf(s1,plain,
( spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f363]) ).
cnf(s6,plain,
( ~ spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f542]) ).
cnf(s8,plain,
( ~ spl27_2
| spl27_10
| spl27_11 ),
inference(sat_conversion,[],[f674]) ).
cnf(s11,plain,
( ~ spl27_2
| ~ spl27_11 ),
inference(sat_conversion,[],[f961]) ).
cnf(s13,plain,
( ~ spl27_2
| ~ spl27_10 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s14,plain,
~ spl27_2,
inference(rat,[],[s8,s11,s13]) ).
cnf(s15,plain,
~ spl27_1,
inference(rat,[],[s6,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s14,s15]) ).
fof(f1086,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO570+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 08:32:18 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 4.97/1.65 % (3679396)Detected formulas, will run a generic FOF schedule.
% 4.97/1.65 % (3679402)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=2943981492:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.97/1.65 % (3679401)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=1938510491:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.97/1.65 % (3679403)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=3310965847:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.97/1.65 % (3679405)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3587511889:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.97/1.65 % (3679407)dis-21_1_sil=8000:lcm=predicate:random_seed=2774967546: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)
% 4.97/1.65 % (3679404)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=989743171:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.97/1.65 % (3679406)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=33678392:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.97/1.65 % (3679404)Refutation not found, incomplete strategy
% 4.97/1.65 % (3679404)------------------------------
% 4.97/1.65 % (3679404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.65 % (3679404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.65 % (3679404)CaDiCaL version: 2.1.3
% 4.97/1.65 % (3679404)Termination reason: Refutation not found, incomplete strategy
% 4.97/1.65 % (3679404)Time elapsed: 0.026 s
% 4.97/1.65 % (3679404)Peak memory usage: 88 MB
% 4.97/1.65 % (3679404)Instructions burned: 47 (million)
% 4.97/1.65 % (3679405)Instruction limit reached!
% 4.97/1.65 % (3679405)------------------------------
% 4.97/1.65 % (3679405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.65 % (3679405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.65 % (3679405)CaDiCaL version: 2.1.3
% 4.97/1.65 % (3679405)Termination reason: Instruction limit
% 4.97/1.65 % (3679405)Termination phase: Saturation
% 4.97/1.65 % (3679405)Time elapsed: 0.069 s
% 4.97/1.65 % (3679405)Peak memory usage: 88 MB
% 4.97/1.65 % (3679405)Instructions burned: 119 (million)
% 4.97/1.65 % (3679407)Instruction limit reached!
% 4.97/1.65 % (3679407)------------------------------
% 4.97/1.65 % (3679407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.65 % (3679407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.65 % (3679407)CaDiCaL version: 2.1.3
% 4.97/1.65 % (3679407)Termination reason: Instruction limit
% 4.97/1.65 % (3679407)Termination phase: Saturation
% 4.97/1.65 % (3679407)Time elapsed: 0.077 s
% 4.97/1.65 % (3679407)Peak memory usage: 89 MB
% 4.97/1.65 % (3679407)Instructions burned: 129 (million)
% 4.97/1.65 % (3679406)Instruction limit reached!
% 4.97/1.65 % (3679406)------------------------------
% 4.97/1.65 % (3679406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.65 % (3679406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.65 % (3679406)CaDiCaL version: 2.1.3
% 4.97/1.65 % (3679406)Termination reason: Instruction limit
% 4.97/1.65 % (3679406)Termination phase: Saturation
% 4.97/1.65 % (3679406)Time elapsed: 0.087 s
% 4.97/1.65 % (3679406)Peak memory usage: 90 MB
% 4.97/1.65 % (3679406)Instructions burned: 139 (million)
% 4.97/1.65 % (3679415)lrs+10_1_sil=8000:sp=occurrence:random_seed=40219221:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.97/1.65 % (3679416)lrs+10_1_sil=32000:urr=on:br=off:random_seed=508942994:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.97/1.65 % (3679417)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3358236336:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.97/1.65 % (3679404)------------------------------
% 4.97/1.65 % (3679404)------------------------------
% 4.97/1.65 % (3679416)Instruction limit reached!
% 4.97/1.65 % (3679416)------------------------------
% 4.97/1.65 % (3679416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.65 % (3679416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.65 % (3679416)CaDiCaL version: 2.1.3
% 4.97/1.65 % (3679416)Termination reason: Instruction limit
% 4.97/1.65 % (3679416)Termination phase: Saturation
% 4.97/1.65 % (3679416)Time elapsed: 0.080 s
% 4.97/1.65 % (3679416)Peak memory usage: 89 MB
% 4.97/1.65 % (3679416)Instructions burned: 158 (million)
% 4.97/1.65 % (3679421)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=517339764:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.97/1.65 % (3679415)Instruction limit reached!
% 4.97/1.65 % (3679415)------------------------------
% 4.97/1.65 % (3679415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.65 % (3679415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.65 % (3679415)CaDiCaL version: 2.1.3
% 4.97/1.65 % (3679415)Termination reason: Instruction limit
% 4.97/1.65 % (3679415)Termination phase: Saturation
% 4.97/1.65 % (3679415)Time elapsed: 0.182 s
% 4.97/1.65 % (3679415)Peak memory usage: 92 MB
% 4.97/1.65 % (3679415)Instructions burned: 285 (million)
% 4.97/1.65 % (3679422)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3936681222:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.97/1.65 % (3679402)First to succeed.
% 4.97/1.65 % (3679402)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3679396"
% 4.97/1.65 % (3679417)Instruction limit reached!
% 4.97/1.65 % (3679417)------------------------------
% 4.97/1.65 % (3679417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.65 % (3679417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.65 % (3679417)CaDiCaL version: 2.1.3
% 4.97/1.65 % (3679417)Termination reason: Instruction limit
% 4.97/1.65 % (3679417)Termination phase: Saturation
% 4.97/1.65 % (3679417)Time elapsed: 0.214 s
% 4.97/1.65 % (3679417)Peak memory usage: 92 MB
% 4.97/1.65 % (3679417)Instructions burned: 326 (million)
% 4.97/1.65 % (3679424)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3439087357:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.97/1.65 % (3679421)Instruction limit reached!
% 4.97/1.65 % (3679421)------------------------------
% 4.97/1.65 % (3679421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.65 % (3679421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.65 % (3679421)CaDiCaL version: 2.1.3
% 4.97/1.65 % (3679421)Termination reason: Instruction limit
% 4.97/1.65 % (3679421)Termination phase: Saturation
% 4.97/1.65 % (3679421)Time elapsed: 0.138 s
% 4.97/1.65 % (3679421)Peak memory usage: 91 MB
% 4.97/1.65 % (3679421)Instructions burned: 248 (million)
% 4.97/1.65 % (3679426)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1311430192:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 4.97/1.65 % (3679422)Instruction limit reached!
% 4.97/1.65 % (3679422)------------------------------
% 4.97/1.65 % (3679422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.65 % (3679422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.65 % (3679422)CaDiCaL version: 2.1.3
% 4.97/1.65 % (3679422)Termination reason: Instruction limit
% 4.97/1.65 % (3679422)Termination phase: Saturation
% 4.97/1.65 % (3679422)Time elapsed: 0.169 s
% 4.97/1.65 % (3679422)Peak memory usage: 89 MB
% 4.97/1.65 % (3679422)Instructions burned: 295 (million)
% 4.97/1.65 % (3679402)Refutation found. Thanks to Tanya!
% 4.97/1.65 % SZS status Theorem for theBenchmark
% 4.97/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 6.05/1.84 % (3679402)------------------------------
% 6.05/1.84 % (3679402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.05/1.84 % (3679402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.05/1.84 % (3679402)CaDiCaL version: 2.1.3
% 6.05/1.84 % (3679402)Termination reason: Refutation
% 6.05/1.84 % (3679402)Time elapsed: 0.497 s
% 6.05/1.84 % (3679402)Peak memory usage: 130 MB
% 6.05/1.84 % (3679402)Instructions burned: 1093 (million)
% 6.05/1.84 % (3679402)------------------------------
% 6.05/1.84 % (3679402)------------------------------
% 6.05/1.84 % (3679396)Success in time 0.775 s
% 6.05/1.84 % Vampire exiting
%------------------------------------------------------------------------------