%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO609+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 : n012.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 4.18s 1.20s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 93 ( 10 unt; 2 def)
% Number of atoms : 257 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 274 ( 110 ~; 104 |; 42 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 375 ( 0 sgn 359 !; 16 ?)
% 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] :
( ( circle(X3,X0,X1,X2)
& para(X1,X2,X4,X0)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2) )
=> para(X5,X6,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618071) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& para(X1,X2,X4,X0)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2) )
=> para(X5,X6,X0,X3) ),
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] :
( ~ para(X5,X6,X0,X3)
& circle(X3,X0,X1,X2)
& para(X1,X2,X4,X0)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X5,X6,X0,X3)
& circle(X3,X0,X1,X2)
& para(X1,X2,X4,X0)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK25,sK26,sK20,sK23)
& circle(sK23,sK20,sK21,sK22)
& para(sK21,sK22,sK24,sK20)
& circle(sK23,sK20,sK24,sK27)
& perp(sK25,sK24,sK20,sK21)
& coll(sK25,sK20,sK21)
& perp(sK26,sK24,sK20,sK22)
& coll(sK26,sK20,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[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(f389,plain,
para(sK21,sK22,sK24,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ para(sK25,sK26,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f394,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(f396,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,[],[f394]) ).
fof(f397,plain,
para(sK24,sK20,sK21,sK22),
inference(resolution,[],[f389,f275]) ).
fof(f399,plain,
! [X0,X1] :
( ~ para(X0,X1,sK21,sK22)
| para(X0,X1,sK24,sK20) ),
inference(resolution,[],[f389,f276]) ).
fof(f400,plain,
para(sK24,sK20,sK24,sK20),
inference(resolution,[],[f397,f399]) ).
fof(f422,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(f425,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f422,f309]) ).
fof(f429,definition,
( spl28_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f430,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f432,definition,
( spl28_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f433,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f434,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f425,f432,f429]) ).
fof(f435,plain,
( $false
| ~ spl28_2 ),
inference(resolution,[],[f433,f400]) ).
fof(f436,plain,
~ spl28_2,
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f456,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(f469,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f456]) ).
fof(f473,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f469,f430]) ).
fof(f488,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f456]) ).
fof(f492,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f488,f473]) ).
fof(f496,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f492,f430]) ).
fof(f499,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl28_1 ),
inference(resolution,[],[f496,f287]) ).
fof(f501,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f499,f496]) ).
fof(f506,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl28_1 ),
inference(resolution,[],[f501,f396]) ).
fof(f508,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f506,f501]) ).
fof(f510,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f508,f501]) ).
fof(f512,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl28_1 ),
inference(resolution,[],[f510,f327]) ).
fof(f513,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f512,f510]) ).
fof(f514,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl28_1 ),
inference(resolution,[],[f513,f278]) ).
fof(f516,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl28_1 ),
inference(resolution,[],[f513,f279]) ).
fof(f523,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl28_1 ),
inference(resolution,[],[f516,f514]) ).
fof(f524,plain,
( $false
| ~ spl28_1 ),
inference(resolution,[],[f523,f391]) ).
fof(f529,plain,
~ spl28_1,
inference(avatar_contradiction_clause,[],[f524]) ).
cnf(s1,plain,
( spl28_1
| spl28_2 ),
inference(sat_conversion,[],[f434]) ).
cnf(s2,plain,
~ spl28_2,
inference(sat_conversion,[],[f436]) ).
cnf(s3,plain,
~ spl28_1,
inference(sat_conversion,[],[f529]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f530,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO609+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 08:37:50 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 4.18/1.20 % (2066936)Detected formulas, will run a generic FOF schedule.
% 4.18/1.20 % (2066946)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3763864863:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.18/1.20 % (2066942)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=2782665419:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.18/1.20 % (2066944)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=417570876:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.18/1.20 % (2066947)dis-21_1_sil=8000:lcm=predicate:random_seed=2277997731: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)
% 4.18/1.20 % (2066943)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=222747972:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.18/1.20 % (2066945)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=528815052:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.18/1.20 % (2066941)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=89635639:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.18/1.20 % (2066946)Instruction limit reached!
% 4.18/1.20 % (2066946)------------------------------
% 4.18/1.20 % (2066946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.20 % (2066946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.20 % (2066946)CaDiCaL version: 2.1.3
% 4.18/1.20 % (2066946)Termination reason: Instruction limit
% 4.18/1.20 % (2066946)Termination phase: Saturation
% 4.18/1.20 % (2066946)Time elapsed: 0.030 s
% 4.18/1.20 % (2066946)Peak memory usage: 88 MB
% 4.18/1.20 % (2066946)Instructions burned: 139 (million)
% 4.18/1.20 % (2066945)Instruction limit reached!
% 4.18/1.20 % (2066945)------------------------------
% 4.18/1.20 % (2066945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.20 % (2066945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.20 % (2066945)CaDiCaL version: 2.1.3
% 4.18/1.20 % (2066945)Termination reason: Instruction limit
% 4.18/1.20 % (2066945)Termination phase: Saturation
% 4.18/1.20 % (2066945)Time elapsed: 0.037 s
% 4.18/1.20 % (2066945)Peak memory usage: 88 MB
% 4.18/1.20 % (2066945)Instructions burned: 120 (million)
% 4.18/1.20 % (2066944)Instruction limit reached!
% 4.18/1.20 % (2066944)------------------------------
% 4.18/1.20 % (2066944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.20 % (2066944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.20 % (2066944)CaDiCaL version: 2.1.3
% 4.18/1.20 % (2066944)Termination reason: Instruction limit
% 4.18/1.20 % (2066944)Termination phase: Saturation
% 4.18/1.20 % (2066944)Time elapsed: 0.038 s
% 4.18/1.20 % (2066944)Peak memory usage: 89 MB
% 4.18/1.20 % (2066944)Instructions burned: 112 (million)
% 4.18/1.20 % (2066947)Instruction limit reached!
% 4.18/1.20 % (2066947)------------------------------
% 4.18/1.20 % (2066947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.20 % (2066947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.20 % (2066947)CaDiCaL version: 2.1.3
% 4.18/1.20 % (2066947)Termination reason: Instruction limit
% 4.18/1.20 % (2066947)Termination phase: Saturation
% 4.18/1.20 % (2066947)Time elapsed: 0.040 s
% 4.18/1.20 % (2066947)Peak memory usage: 88 MB
% 4.18/1.20 % (2066947)Instructions burned: 132 (million)
% 4.18/1.20 % (2066957)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3816043801:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.18/1.20 % (2066955)lrs+10_1_sil=8000:sp=occurrence:random_seed=2593639015:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.18/1.20 % (2066958)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=3522330435:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 4.18/1.20 % (2066956)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2755613187:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.18/1.20 % (2066956)Instruction limit reached!
% 4.18/1.20 % (2066956)------------------------------
% 4.18/1.20 % (2066956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.20 % (2066956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.20 % (2066956)CaDiCaL version: 2.1.3
% 4.18/1.20 % (2066956)Termination reason: Instruction limit
% 4.18/1.20 % (2066956)Termination phase: Saturation
% 4.18/1.20 % (2066956)Time elapsed: 0.045 s
% 4.18/1.20 % (2066956)Peak memory usage: 89 MB
% 4.18/1.20 % (2066956)Instructions burned: 158 (million)
% 4.18/1.20 % (2066957)Instruction limit reached!
% 4.18/1.20 % (2066957)------------------------------
% 4.18/1.20 % (2066957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.20 % (2066957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.20 % (2066957)CaDiCaL version: 2.1.3
% 4.18/1.20 % (2066957)Termination reason: Instruction limit
% 4.18/1.20 % (2066957)Termination phase: Saturation
% 4.18/1.20 % (2066957)Time elapsed: 0.062 s
% 4.18/1.20 % (2066957)Peak memory usage: 88 MB
% 4.18/1.20 % (2066957)Instructions burned: 326 (million)
% 4.18/1.20 % (2066958)Instruction limit reached!
% 4.18/1.20 % (2066958)------------------------------
% 4.18/1.20 % (2066958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.20 % (2066958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.20 % (2066958)CaDiCaL version: 2.1.3
% 4.18/1.20 % (2066958)Termination reason: Instruction limit
% 4.18/1.20 % (2066958)Termination phase: Saturation
% 4.18/1.20 % (2066958)Time elapsed: 0.077 s
% 4.18/1.20 % (2066958)Peak memory usage: 90 MB
% 4.18/1.20 % (2066958)Instructions burned: 250 (million)
% 4.18/1.20 % (2066955)Instruction limit reached!
% 4.18/1.20 % (2066955)------------------------------
% 4.18/1.20 % (2066955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.20 % (2066955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.20 % (2066955)CaDiCaL version: 2.1.3
% 4.18/1.20 % (2066955)Termination reason: Instruction limit
% 4.18/1.20 % (2066955)Termination phase: Saturation
% 4.18/1.20 % (2066955)Time elapsed: 0.101 s
% 4.18/1.20 % (2066955)Peak memory usage: 92 MB
% 4.18/1.20 % (2066955)Instructions burned: 286 (million)
% 4.18/1.20 % (2066963)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2395790132:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.18/1.20 % (2066964)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4143534073:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.18/1.20 % (2066965)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3470824143:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 4.18/1.20 % (2066941)First to succeed.
% 4.18/1.20 % (2066941)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2066936"
% 4.18/1.20 % (2066965)Instruction limit reached!
% 4.18/1.20 % (2066965)------------------------------
% 4.18/1.20 % (2066965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.20 % (2066965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.20 % (2066965)CaDiCaL version: 2.1.3
% 4.18/1.20 % (2066965)Termination reason: Instruction limit
% 4.18/1.20 % (2066965)Termination phase: Saturation
% 4.18/1.20 % (2066965)Time elapsed: 0.035 s
% 4.18/1.20 % (2066965)Peak memory usage: 89 MB
% 4.18/1.20 % (2066965)Instructions burned: 115 (million)
% 4.18/1.20 % (2066966)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2989481021:i=127:av=off:fsr=off:sup=off_2996 on theBenchmark for (2996ds/127Mi)
% 4.18/1.20 % (2066942)Also succeeded, but the first one will report.
% 4.18/1.20 % (2066963)Instruction limit reached!
% 4.18/1.20 % (2066963)------------------------------
% 4.18/1.20 % (2066963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.20 % (2066963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.20 % (2066963)CaDiCaL version: 2.1.3
% 4.18/1.20 % (2066963)Termination reason: Instruction limit
% 4.18/1.20 % (2066963)Termination phase: Saturation
% 4.18/1.20 % (2066963)Time elapsed: 0.091 s
% 4.18/1.20 % (2066963)Peak memory usage: 89 MB
% 4.18/1.20 % (2066963)Instructions burned: 296 (million)
% 4.18/1.20 % (2066966)Instruction limit reached!
% 4.18/1.20 % (2066966)------------------------------
% 4.18/1.20 % (2066966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.18/1.20 % (2066966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/1.20 % (2066966)CaDiCaL version: 2.1.3
% 4.18/1.20 % (2066966)Termination reason: Instruction limit
% 4.18/1.20 % (2066966)Termination phase: Saturation
% 4.18/1.20 % (2066966)Time elapsed: 0.039 s
% 4.18/1.20 % (2066966)Peak memory usage: 89 MB
% 4.18/1.20 % (2066966)Instructions burned: 131 (million)
% 4.18/1.20 % (2066970)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3664587087:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.18/1.20 % (2066941)Refutation found. Thanks to Tanya!
% 4.18/1.20 % SZS status Theorem for theBenchmark
% 4.18/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/1.30 % (2066941)------------------------------
% 0.07/1.30 % (2066941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.07/1.30 % (2066941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/1.30 % (2066941)CaDiCaL version: 2.1.3
% 0.07/1.30 % (2066941)Termination reason: Refutation
% 0.07/1.30 % (2066941)Time elapsed: 0.362 s
% 0.07/1.30 % (2066941)Peak memory usage: 130 MB
% 0.07/1.30 % (2066941)Instructions burned: 986 (million)
% 0.07/1.30 % (2066941)------------------------------
% 0.07/1.30 % (2066941)------------------------------
% 0.07/1.30 % (2066936)Success in time 0.669 s
% 0.07/1.30 % Vampire exiting
%------------------------------------------------------------------------------