%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO629+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 : n007.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 09:53:06 AM UTC 2026
% Result : Theorem 6.41s 2.00s
% Output : Refutation 8.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 93 ( 10 unt; 2 def)
% Number of atoms : 287 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 304 ( 110 ~; 104 |; 72 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 14 con; 0-0 aty)
% Number of variables : 399 ( 0 sgn 371 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& para(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD6) ).
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(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,X12,X13] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X2)
& coll(X8,X0,X2)
& perp(X9,X7,X0,X1)
& coll(X9,X0,X1)
& para(X5,X6,X10,X7)
& circle(X3,X0,X10,X13) )
=> para(X10,X4,X9,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110992) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X2)
& coll(X8,X0,X2)
& perp(X9,X7,X0,X1)
& coll(X9,X0,X1)
& para(X5,X6,X10,X7)
& circle(X3,X0,X10,X13) )
=> para(X10,X4,X9,X8) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(flattening,[],[f104]) ).
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(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,X12,X13] :
( ~ para(X10,X4,X9,X8)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X2)
& coll(X8,X0,X2)
& perp(X9,X7,X0,X1)
& coll(X9,X0,X1)
& para(X5,X6,X10,X7)
& circle(X3,X0,X10,X13) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ~ para(X10,X4,X9,X8)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X2)
& coll(X8,X0,X2)
& perp(X9,X7,X0,X1)
& coll(X9,X0,X1)
& para(X5,X6,X10,X7)
& circle(X3,X0,X10,X13) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK30,sK24,sK29,sK28)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK31)
& perp(sK25,sK24,sK20,sK22)
& coll(sK25,sK20,sK22)
& perp(sK26,sK24,sK20,sK21)
& coll(sK26,sK20,sK21)
& circle(sK23,sK20,sK27,sK32)
& perp(sK28,sK27,sK20,sK22)
& coll(sK28,sK20,sK22)
& perp(sK29,sK27,sK20,sK21)
& coll(sK29,sK20,sK21)
& para(sK25,sK26,sK30,sK27)
& circle(sK23,sK20,sK30,sK33) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33]),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),skolemize(X12,sK32),skolemize(X13,sK33)],[f250]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
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(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,
para(sK25,sK26,sK30,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f397,plain,
~ para(sK30,sK24,sK29,sK28),
inference(cnf_transformation,[],[f270]) ).
fof(f398,plain,
! [X0,X1] :
( ~ para(X0,X1,sK25,sK26)
| para(X0,X1,sK30,sK27) ),
inference(resolution,[],[f385,f276]) ).
fof(f404,plain,
para(sK30,sK27,sK25,sK26),
inference(resolution,[],[f275,f385]) ).
fof(f406,plain,
para(sK30,sK27,sK30,sK27),
inference(resolution,[],[f404,f398]) ).
fof(f413,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(f415,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,[],[f413]) ).
fof(f454,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(f457,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f454,f309]) ).
fof(f461,definition,
( spl34_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl34_1])],[avatar_definition]) ).
fof(f462,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl34_1 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f464,definition,
( spl34_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl34_2])],[avatar_definition]) ).
fof(f465,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl34_2 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( spl34_1
| spl34_2 ),
inference(avatar_split_clause,[],[f457,f464,f461]) ).
fof(f467,plain,
( $false
| ~ spl34_2 ),
inference(resolution,[],[f465,f406]) ).
fof(f472,plain,
~ spl34_2,
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f492,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(f505,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f492]) ).
fof(f509,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl34_1 ),
inference(forward_subsumption_resolution,[],[f505,f462]) ).
fof(f524,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f492]) ).
fof(f528,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl34_1 ),
inference(forward_subsumption_resolution,[],[f524,f509]) ).
fof(f532,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl34_1 ),
inference(forward_subsumption_resolution,[],[f528,f462]) ).
fof(f534,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl34_1 ),
inference(resolution,[],[f532,f287]) ).
fof(f538,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl34_1 ),
inference(forward_subsumption_resolution,[],[f534,f532]) ).
fof(f543,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl34_1 ),
inference(resolution,[],[f538,f415]) ).
fof(f544,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl34_1 ),
inference(forward_subsumption_resolution,[],[f543,f538]) ).
fof(f546,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl34_1 ),
inference(forward_subsumption_resolution,[],[f544,f538]) ).
fof(f548,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl34_1 ),
inference(resolution,[],[f546,f327]) ).
fof(f549,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl34_1 ),
inference(forward_subsumption_resolution,[],[f548,f546]) ).
fof(f550,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl34_1 ),
inference(resolution,[],[f549,f278]) ).
fof(f552,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl34_1 ),
inference(resolution,[],[f549,f279]) ).
fof(f568,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl34_1 ),
inference(resolution,[],[f550,f552]) ).
fof(f569,plain,
( $false
| ~ spl34_1 ),
inference(resolution,[],[f568,f397]) ).
fof(f574,plain,
~ spl34_1,
inference(avatar_contradiction_clause,[],[f569]) ).
cnf(s1,plain,
( spl34_1
| spl34_2 ),
inference(sat_conversion,[],[f466]) ).
cnf(s4,plain,
~ spl34_2,
inference(sat_conversion,[],[f472]) ).
cnf(s5,plain,
~ spl34_1,
inference(sat_conversion,[],[f574]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s4,s5]) ).
fof(f575,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO629+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n007.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 08:38:40 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 6.41/1.99 % (1108781)Detected formulas, will run a generic FOF schedule.
% 6.41/1.99 % (1108792)dis-21_1_sil=8000:lcm=predicate:random_seed=177461837: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)
% 6.41/1.99 % (1108786)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=2604169020:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.41/1.99 % (1108791)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=742819614:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.41/1.99 % (1108789)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=806328843:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.41/1.99 % (1108787)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=3775080703:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.41/1.99 % (1108788)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=1334251028:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.41/1.99 % (1108790)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3181101495:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.41/1.99 % (1108792)Instruction limit reached!
% 6.41/1.99 % (1108792)------------------------------
% 6.41/1.99 % (1108792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.99 % (1108792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.99 % (1108792)CaDiCaL version: 2.1.3
% 6.41/1.99 % (1108792)Termination reason: Instruction limit
% 6.41/1.99 % (1108792)Termination phase: Saturation
% 6.41/1.99 % (1108792)Time elapsed: 0.039 s
% 6.41/1.99 % (1108792)Peak memory usage: 89 MB
% 6.41/1.99 % (1108792)Instructions burned: 131 (million)
% 6.41/1.99 % (1108791)Instruction limit reached!
% 6.41/1.99 % (1108791)------------------------------
% 6.41/1.99 % (1108791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.99 % (1108791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.99 % (1108791)CaDiCaL version: 2.1.3
% 6.41/1.99 % (1108791)Termination reason: Instruction limit
% 6.41/1.99 % (1108791)Termination phase: Saturation
% 6.41/1.99 % (1108791)Time elapsed: 0.061 s
% 6.41/1.99 % (1108791)Peak memory usage: 88 MB
% 6.41/1.99 % (1108791)Instructions burned: 141 (million)
% 6.41/1.99 % (1108790)Instruction limit reached!
% 6.41/1.99 % (1108790)------------------------------
% 6.41/1.99 % (1108790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.99 % (1108790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.99 % (1108790)CaDiCaL version: 2.1.3
% 6.41/1.99 % (1108790)Termination reason: Instruction limit
% 6.41/1.99 % (1108790)Termination phase: Saturation
% 6.41/1.99 % (1108790)Time elapsed: 0.067 s
% 6.41/1.99 % (1108790)Peak memory usage: 88 MB
% 6.41/1.99 % (1108790)Instructions burned: 120 (million)
% 6.41/1.99 % (1108789)Instruction limit reached!
% 6.41/1.99 % (1108789)------------------------------
% 6.41/1.99 % (1108789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.99 % (1108789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.99 % (1108789)CaDiCaL version: 2.1.3
% 6.41/1.99 % (1108789)Termination reason: Instruction limit
% 6.41/1.99 % (1108789)Termination phase: Saturation
% 6.41/1.99 % (1108789)Time elapsed: 0.068 s
% 6.41/1.99 % (1108789)Peak memory usage: 89 MB
% 6.41/1.99 % (1108789)Instructions burned: 109 (million)
% 6.41/1.99 % (1108800)lrs+10_1_sil=8000:sp=occurrence:random_seed=1622346796:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.41/1.99 % (1108801)lrs+10_1_sil=32000:urr=on:br=off:random_seed=209467309:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.41/1.99 % (1108803)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=1315365559:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.41/1.99 % (1108802)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2876049818:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.41/1.99 % (1108800)Instruction limit reached!
% 6.41/1.99 % (1108800)------------------------------
% 6.41/1.99 % (1108800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.99 % (1108800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.99 % (1108800)CaDiCaL version: 2.1.3
% 6.41/1.99 % (1108800)Termination reason: Instruction limit
% 6.41/1.99 % (1108800)Termination phase: Saturation
% 6.41/1.99 % (1108800)Time elapsed: 0.099 s
% 6.41/1.99 % (1108800)Peak memory usage: 92 MB
% 6.41/1.99 % (1108800)Instructions burned: 286 (million)
% 6.41/1.99 % (1108801)Instruction limit reached!
% 6.41/1.99 % (1108801)------------------------------
% 6.41/1.99 % (1108801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.99 % (1108801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.99 % (1108801)CaDiCaL version: 2.1.3
% 6.41/1.99 % (1108801)Termination reason: Instruction limit
% 6.41/1.99 % (1108801)Termination phase: Saturation
% 6.41/1.99 % (1108801)Time elapsed: 0.085 s
% 6.41/1.99 % (1108801)Peak memory usage: 90 MB
% 6.41/1.99 % (1108801)Instructions burned: 159 (million)
% 6.41/1.99 % (1108803)Instruction limit reached!
% 6.41/1.99 % (1108803)------------------------------
% 6.41/1.99 % (1108803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.99 % (1108803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.99 % (1108803)CaDiCaL version: 2.1.3
% 6.41/1.99 % (1108803)Termination reason: Instruction limit
% 6.41/1.99 % (1108803)Termination phase: Saturation
% 6.41/1.99 % (1108803)Time elapsed: 0.140 s
% 6.41/1.99 % (1108803)Peak memory usage: 90 MB
% 6.41/1.99 % (1108803)Instructions burned: 249 (million)
% 6.41/1.99 % (1108808)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2180752235:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.41/1.99 % (1108809)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3636202897:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.41/1.99 % (1108802)Instruction limit reached!
% 6.41/1.99 % (1108802)------------------------------
% 6.41/1.99 % (1108802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.99 % (1108802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.00 % (1108802)CaDiCaL version: 2.1.3
% 6.41/2.00 % (1108802)Termination reason: Instruction limit
% 6.41/2.00 % (1108802)Termination phase: Saturation
% 6.41/2.00 % (1108802)Time elapsed: 0.213 s
% 6.41/2.00 % (1108802)Peak memory usage: 91 MB
% 6.41/2.00 % (1108802)Instructions burned: 326 (million)
% 6.41/2.00 % (1108808)Instruction limit reached!
% 6.41/2.00 % (1108808)------------------------------
% 6.41/2.00 % (1108808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.00 % (1108808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.00 % (1108808)CaDiCaL version: 2.1.3
% 6.41/2.00 % (1108808)Termination reason: Instruction limit
% 6.41/2.00 % (1108808)Termination phase: Saturation
% 6.41/2.00 % (1108808)Time elapsed: 0.090 s
% 6.41/2.00 % (1108808)Peak memory usage: 89 MB
% 6.41/2.00 % (1108808)Instructions burned: 295 (million)
% 6.41/2.00 % (1108810)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1515641338:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.41/2.00 % (1108814)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3873190857:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.41/2.00 % (1108813)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2994603007:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.41/2.00 % (1108810)Instruction limit reached!
% 6.41/2.00 % (1108810)------------------------------
% 6.41/2.00 % (1108810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.00 % (1108810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.00 % (1108810)CaDiCaL version: 2.1.3
% 6.41/2.00 % (1108810)Termination reason: Instruction limit
% 6.41/2.00 % (1108810)Termination phase: Saturation
% 6.41/2.00 % (1108810)Time elapsed: 0.066 s
% 6.41/2.00 % (1108810)Peak memory usage: 90 MB
% 6.41/2.00 % (1108810)Instructions burned: 114 (million)
% 6.41/2.00 % (1108814)Instruction limit reached!
% 6.41/2.00 % (1108814)------------------------------
% 6.41/2.00 % (1108814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.00 % (1108814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.00 % (1108814)CaDiCaL version: 2.1.3
% 6.41/2.00 % (1108814)Termination reason: Instruction limit
% 6.41/2.00 % (1108814)Termination phase: Saturation
% 6.41/2.00 % (1108814)Time elapsed: 0.033 s
% 6.41/2.00 % (1108814)Peak memory usage: 89 MB
% 6.41/2.00 % (1108814)Instructions burned: 116 (million)
% 6.41/2.00 % (1108813)Instruction limit reached!
% 6.41/2.00 % (1108813)------------------------------
% 6.41/2.00 % (1108813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.00 % (1108813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.00 % (1108813)CaDiCaL version: 2.1.3
% 6.41/2.00 % (1108813)Termination reason: Instruction limit
% 6.41/2.00 % (1108813)Termination phase: Saturation
% 6.41/2.00 % (1108813)Time elapsed: 0.070 s
% 6.41/2.00 % (1108813)Peak memory usage: 89 MB
% 6.41/2.00 % (1108813)Instructions burned: 128 (million)
% 6.41/2.00 % (1108786)First to succeed.
% 6.41/2.00 % (1108786)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1108781"
% 6.41/2.00 % (1108819)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2540612150:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.41/2.00 % (1108818)lrs+10_1_sil=8000:sp=occurrence:random_seed=1765580457:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.41/2.00 % (1108787)Also succeeded, but the first one will report.
% 6.41/2.00 % (1108820)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=559467091:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.41/2.00 % (1108819)Instruction limit reached!
% 6.41/2.00 % (1108819)------------------------------
% 6.41/2.00 % (1108819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/2.00 % (1108819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/2.00 % (1108819)CaDiCaL version: 2.1.3
% 6.41/2.00 % (1108819)Termination reason: Instruction limit
% 6.41/2.00 % (1108819)Termination phase: Saturation
% 6.41/2.00 % (1108819)Time elapsed: 0.143 s
% 6.41/2.00 % (1108819)Peak memory usage: 91 MB
% 6.41/2.00 % (1108819)Instructions burned: 439 (million)
% 6.41/2.00 % (1108786)Refutation found. Thanks to Tanya!
% 6.41/2.00 % SZS status Theorem for theBenchmark
% 6.41/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 8.30/2.10 % (1108786)------------------------------
% 8.30/2.10 % (1108786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.30/2.10 % (1108786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/2.10 % (1108786)CaDiCaL version: 2.1.3
% 8.30/2.10 % (1108786)Termination reason: Refutation
% 8.30/2.10 % (1108786)Time elapsed: 0.671 s
% 8.30/2.10 % (1108786)Peak memory usage: 130 MB
% 8.30/2.10 % (1108786)Instructions burned: 999 (million)
% 8.30/2.10 % (1108786)------------------------------
% 8.30/2.10 % (1108786)------------------------------
% 8.30/2.10 % (1108781)Success in time 1.11 s
% 8.30/2.10 % Vampire exiting
%------------------------------------------------------------------------------