%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO568+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 : 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 09:52:57 AM UTC 2026
% Result : Theorem 4.16s 1.19s
% Output : Refutation 4.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 10 unt; 2 def)
% Number of atoms : 271 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 290 ( 111 ~; 105 |; 57 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 376 ( 0 sgn 358 !; 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(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( midp(X6,X0,X1)
& perp(X0,X1,X6,X3)
& midp(X7,X0,X2)
& perp(X0,X2,X7,X3)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X3)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2) )
=> perp(X0,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214030) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( midp(X6,X0,X1)
& perp(X0,X1,X6,X3)
& midp(X7,X0,X2)
& perp(X0,X2,X7,X3)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X3)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2) )
=> perp(X0,X3,X4,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ perp(X0,X3,X4,X5)
& midp(X6,X0,X1)
& perp(X0,X1,X6,X3)
& midp(X7,X0,X2)
& perp(X0,X2,X7,X3)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X3)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ perp(X0,X3,X4,X5)
& midp(X6,X0,X1)
& perp(X0,X1,X6,X3)
& midp(X7,X0,X2)
& perp(X0,X2,X7,X3)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X3)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK20,sK23,sK24,sK25)
& midp(sK26,sK20,sK21)
& perp(sK20,sK21,sK26,sK23)
& midp(sK27,sK20,sK22)
& perp(sK20,sK22,sK27,sK23)
& midp(sK28,sK21,sK22)
& perp(sK21,sK22,sK28,sK23)
& perp(sK24,sK22,sK20,sK21)
& coll(sK24,sK20,sK21)
& perp(sK25,sK21,sK20,sK22)
& coll(sK25,sK20,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),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)],[f250]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f385,plain,
perp(sK25,sK21,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ perp(sK20,sK23,sK24,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f395,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,[],[f395]) ).
fof(f405,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK25,sK21)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f385,f279]) ).
fof(f406,plain,
perp(sK20,sK22,sK25,sK21),
inference(resolution,[],[f385,f278]) ).
fof(f416,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f406,f405]) ).
fof(f474,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(f476,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f474,f309]) ).
fof(f480,definition,
( spl29_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f481,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,definition,
( spl29_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f484,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f485,plain,
( spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f476,f483,f480]) ).
fof(f486,plain,
( $false
| ~ spl29_2 ),
inference(resolution,[],[f484,f416]) ).
fof(f495,plain,
~ spl29_2,
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f508,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(f521,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f508]) ).
fof(f524,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f521,f481]) ).
fof(f540,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f508]) ).
fof(f543,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f540,f524]) ).
fof(f546,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f543,f481]) ).
fof(f548,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl29_1 ),
inference(resolution,[],[f546,f287]) ).
fof(f552,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f548,f546]) ).
fof(f555,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl29_1 ),
inference(resolution,[],[f552,f396]) ).
fof(f559,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f555,f552]) ).
fof(f561,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f559,f552]) ).
fof(f562,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl29_1 ),
inference(resolution,[],[f561,f327]) ).
fof(f563,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f562,f561]) ).
fof(f564,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) )
| ~ spl29_1 ),
inference(resolution,[],[f563,f280]) ).
fof(f565,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl29_1 ),
inference(resolution,[],[f563,f279]) ).
fof(f566,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl29_1 ),
inference(resolution,[],[f563,f278]) ).
fof(f573,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f565,f566]) ).
fof(f580,plain,
( ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3)
| ~ spl29_1 ),
inference(resolution,[],[f564,f573]) ).
fof(f581,plain,
( $false
| ~ spl29_1 ),
inference(resolution,[],[f580,f394]) ).
fof(f591,plain,
~ spl29_1,
inference(avatar_contradiction_clause,[],[f581]) ).
cnf(s1,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f485]) ).
cnf(s6,plain,
~ spl29_2,
inference(sat_conversion,[],[f495]) ).
cnf(s7,plain,
~ spl29_1,
inference(sat_conversion,[],[f591]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s6,s7]) ).
fof(f592,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO568+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 08:32:05 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 4.16/1.19 % (2064625)Detected formulas, will run a generic FOF schedule.
% 4.16/1.19 % (2064633)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=962348863:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.16/1.19 % (2064634)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1285060985:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.16/1.19 % (2064632)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=2084524537:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.16/1.19 % (2064630)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=1839357105:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.16/1.19 % (2064635)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4082502450:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.16/1.19 % (2064636)dis-21_1_sil=8000:lcm=predicate:random_seed=1430067549: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)
% 4.16/1.19 % (2064631)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=3979673807:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.16/1.19 % (2064633)Refutation not found, incomplete strategy
% 4.16/1.19 % (2064633)------------------------------
% 4.16/1.19 % (2064633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.19 % (2064633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.19 % (2064633)CaDiCaL version: 2.1.3
% 4.16/1.19 % (2064633)Termination reason: Refutation not found, incomplete strategy
% 4.16/1.19 % (2064633)Time elapsed: 0.023 s
% 4.16/1.19 % (2064633)Peak memory usage: 88 MB
% 4.16/1.19 % (2064633)Instructions burned: 76 (million)
% 4.16/1.19 % (2064634)Instruction limit reached!
% 4.16/1.19 % (2064634)------------------------------
% 4.16/1.19 % (2064634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.19 % (2064634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.19 % (2064634)CaDiCaL version: 2.1.3
% 4.16/1.19 % (2064634)Termination reason: Instruction limit
% 4.16/1.19 % (2064634)Termination phase: Saturation
% 4.16/1.19 % (2064634)Time elapsed: 0.036 s
% 4.16/1.19 % (2064634)Peak memory usage: 88 MB
% 4.16/1.19 % (2064634)Instructions burned: 120 (million)
% 4.16/1.19 % (2064636)Instruction limit reached!
% 4.16/1.19 % (2064636)------------------------------
% 4.16/1.19 % (2064636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.19 % (2064636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.19 % (2064636)CaDiCaL version: 2.1.3
% 4.16/1.19 % (2064636)Termination reason: Instruction limit
% 4.16/1.19 % (2064636)Termination phase: Saturation
% 4.16/1.19 % (2064636)Time elapsed: 0.041 s
% 4.16/1.19 % (2064636)Peak memory usage: 89 MB
% 4.16/1.19 % (2064636)Instructions burned: 129 (million)
% 4.16/1.19 % (2064635)Instruction limit reached!
% 4.16/1.19 % (2064635)------------------------------
% 4.16/1.19 % (2064635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.19 % (2064635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.19 % (2064635)CaDiCaL version: 2.1.3
% 4.16/1.19 % (2064635)Termination reason: Instruction limit
% 4.16/1.19 % (2064635)Termination phase: Saturation
% 4.16/1.19 % (2064635)Time elapsed: 0.049 s
% 4.16/1.19 % (2064635)Peak memory usage: 89 MB
% 4.16/1.19 % (2064635)Instructions burned: 142 (million)
% 4.16/1.19 % (2064644)lrs+10_1_sil=8000:sp=occurrence:random_seed=1598115037:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.16/1.19 % (2064646)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3062010239:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.16/1.19 % (2064645)lrs+10_1_sil=32000:urr=on:br=off:random_seed=658254258:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.16/1.19 % (2064633)------------------------------
% 4.16/1.19 % (2064633)------------------------------
% 4.16/1.19 % (2064645)Instruction limit reached!
% 4.16/1.19 % (2064645)------------------------------
% 4.16/1.19 % (2064645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.19 % (2064645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.19 % (2064645)CaDiCaL version: 2.1.3
% 4.16/1.19 % (2064645)Termination reason: Instruction limit
% 4.16/1.19 % (2064645)Termination phase: Saturation
% 4.16/1.19 % (2064645)Time elapsed: 0.043 s
% 4.16/1.19 % (2064645)Peak memory usage: 90 MB
% 4.16/1.19 % (2064645)Instructions burned: 161 (million)
% 4.16/1.19 % (2064644)Instruction limit reached!
% 4.16/1.19 % (2064644)------------------------------
% 4.16/1.19 % (2064644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.19 % (2064644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.19 % (2064644)CaDiCaL version: 2.1.3
% 4.16/1.19 % (2064644)Termination reason: Instruction limit
% 4.16/1.19 % (2064644)Termination phase: Saturation
% 4.16/1.19 % (2064644)Time elapsed: 0.100 s
% 4.16/1.19 % (2064644)Peak memory usage: 92 MB
% 4.16/1.19 % (2064644)Instructions burned: 287 (million)
% 4.16/1.19 % (2064646)Instruction limit reached!
% 4.16/1.19 % (2064646)------------------------------
% 4.16/1.19 % (2064646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.19 % (2064646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.19 % (2064646)CaDiCaL version: 2.1.3
% 4.16/1.19 % (2064646)Termination reason: Instruction limit
% 4.16/1.19 % (2064646)Termination phase: Saturation
% 4.16/1.19 % (2064646)Time elapsed: 0.114 s
% 4.16/1.19 % (2064646)Peak memory usage: 91 MB
% 4.16/1.19 % (2064646)Instructions burned: 326 (million)
% 4.16/1.19 % (2064650)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=755892322:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.16/1.19 % (2064651)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2305835537:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.16/1.19 % (2064650)Instruction limit reached!
% 4.16/1.19 % (2064650)------------------------------
% 4.16/1.19 % (2064650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.19 % (2064650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.19 % (2064650)CaDiCaL version: 2.1.3
% 4.16/1.19 % (2064650)Termination reason: Instruction limit
% 4.16/1.19 % (2064650)Termination phase: Saturation
% 4.16/1.19 % (2064650)Time elapsed: 0.071 s
% 4.16/1.19 % (2064650)Peak memory usage: 92 MB
% 4.16/1.19 % (2064650)Instructions burned: 249 (million)
% 4.16/1.19 % (2064630)First to succeed.
% 4.16/1.19 % (2064630)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2064625"
% 4.16/1.19 % (2064652)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2971119139:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.16/1.19 % (2064653)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2146129770:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.16/1.19 % (2064651)Instruction limit reached!
% 4.16/1.19 % (2064651)------------------------------
% 4.16/1.19 % (2064651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.19 % (2064651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.19 % (2064651)CaDiCaL version: 2.1.3
% 4.16/1.19 % (2064651)Termination reason: Instruction limit
% 4.16/1.19 % (2064651)Termination phase: Saturation
% 4.16/1.19 % (2064651)Time elapsed: 0.092 s
% 4.16/1.19 % (2064651)Peak memory usage: 89 MB
% 4.16/1.19 % (2064651)Instructions burned: 295 (million)
% 4.16/1.19 % (2064631)Also succeeded, but the first one will report.
% 4.16/1.19 % (2064653)Instruction limit reached!
% 4.16/1.19 % (2064653)------------------------------
% 4.16/1.19 % (2064653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.19 % (2064653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.19 % (2064653)CaDiCaL version: 2.1.3
% 4.16/1.19 % (2064653)Termination reason: Instruction limit
% 4.16/1.19 % (2064653)Termination phase: Saturation
% 4.16/1.19 % (2064653)Time elapsed: 0.036 s
% 4.16/1.19 % (2064653)Peak memory usage: 90 MB
% 4.16/1.19 % (2064653)Instructions burned: 114 (million)
% 4.16/1.19 % (2064656)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3612756880:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 4.16/1.19 % (2064656)Instruction limit reached!
% 4.16/1.19 % (2064656)------------------------------
% 4.16/1.19 % (2064656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.16/1.19 % (2064656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/1.19 % (2064656)CaDiCaL version: 2.1.3
% 4.16/1.19 % (2064656)Termination reason: Instruction limit
% 4.16/1.19 % (2064656)Termination phase: Saturation
% 4.16/1.19 % (2064656)Time elapsed: 0.038 s
% 4.16/1.19 % (2064656)Peak memory usage: 89 MB
% 4.16/1.19 % (2064656)Instructions burned: 130 (million)
% 4.16/1.19 % (2064630)Refutation found. Thanks to Tanya!
% 4.16/1.19 % SZS status Theorem for theBenchmark
% 4.16/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 4.85/1.29 % (2064630)------------------------------
% 4.85/1.29 % (2064630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.29 % (2064630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.29 % (2064630)CaDiCaL version: 2.1.3
% 4.85/1.29 % (2064630)Termination reason: Refutation
% 4.85/1.29 % (2064630)Time elapsed: 0.370 s
% 4.85/1.29 % (2064630)Peak memory usage: 129 MB
% 4.85/1.29 % (2064630)Instructions burned: 1003 (million)
% 4.85/1.29 % (2064630)------------------------------
% 4.85/1.29 % (2064630)------------------------------
% 4.85/1.29 % (2064625)Success in time 0.668 s
% 4.85/1.29 % Vampire exiting
%------------------------------------------------------------------------------