%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO541+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 : n013.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 09:52:53 AM UTC 2026
% Result : Theorem 6.74s 1.93s
% Output : Refutation 8.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 10 unt; 2 def)
% Number of atoms : 251 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 270 ( 111 ~; 105 |; 37 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 368 ( 0 sgn 354 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(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/sandbox/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/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] :
( ( perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& midp(X5,X2,X1)
& midp(X6,X3,X4) )
=> perp(X5,X6,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012001) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& midp(X5,X2,X1)
& midp(X6,X3,X4) )
=> perp(X5,X6,X3,X4) ),
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] :
( ~ perp(X5,X6,X3,X4)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& midp(X5,X2,X1)
& midp(X6,X3,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X5,X6,X3,X4)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& midp(X5,X2,X1)
& midp(X6,X3,X4) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK25,sK26,sK23,sK24)
& perp(sK23,sK22,sK20,sK21)
& coll(sK23,sK20,sK21)
& perp(sK24,sK21,sK20,sK22)
& coll(sK24,sK20,sK22)
& midp(sK25,sK22,sK21)
& midp(sK26,sK23,sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[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(f389,plain,
perp(sK23,sK22,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ perp(sK25,sK26,sK23,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f391,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(f392,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,[],[f391]) ).
fof(f396,plain,
perp(sK20,sK21,sK23,sK22),
inference(resolution,[],[f278,f389]) ).
fof(f401,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK23,sK22)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[],[f279,f389]) ).
fof(f410,plain,
para(sK20,sK21,sK20,sK21),
inference(resolution,[],[f401,f396]) ).
fof(f425,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(f427,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f425,f309]) ).
fof(f431,definition,
( spl27_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f432,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f434,definition,
( spl27_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f435,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f436,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f427,f434,f431]) ).
fof(f437,plain,
( $false
| ~ spl27_2 ),
inference(resolution,[],[f435,f410]) ).
fof(f440,plain,
~ spl27_2,
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f453,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(f470,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f453]) ).
fof(f473,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f470,f432]) ).
fof(f488,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f453]) ).
fof(f491,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f488,f473]) ).
fof(f494,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f491,f432]) ).
fof(f496,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl27_1 ),
inference(resolution,[],[f494,f287]) ).
fof(f500,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f496,f494]) ).
fof(f503,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl27_1 ),
inference(resolution,[],[f500,f392]) ).
fof(f507,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f503,f500]) ).
fof(f509,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f507,f500]) ).
fof(f510,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl27_1 ),
inference(resolution,[],[f509,f327]) ).
fof(f511,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f510,f509]) ).
fof(f512,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl27_1 ),
inference(resolution,[],[f511,f279]) ).
fof(f513,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) )
| ~ spl27_1 ),
inference(resolution,[],[f511,f280]) ).
fof(f514,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl27_1 ),
inference(resolution,[],[f511,f278]) ).
fof(f518,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f512,f514]) ).
fof(f524,plain,
( ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(resolution,[],[f513,f518]) ).
fof(f525,plain,
( $false
| ~ spl27_1 ),
inference(resolution,[],[f524,f390]) ).
fof(f532,plain,
~ spl27_1,
inference(avatar_contradiction_clause,[],[f525]) ).
cnf(s1,plain,
( spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f436]) ).
cnf(s3,plain,
~ spl27_2,
inference(sat_conversion,[],[f440]) ).
cnf(s4,plain,
~ spl27_1,
inference(sat_conversion,[],[f532]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f533,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO541+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 08:28:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.74/1.93 % (4111705)Detected formulas, will run a generic FOF schedule.
% 6.74/1.93 % (4111715)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1228926652:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.74/1.93 % (4111714)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4139522588:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.74/1.93 % (4111716)dis-21_1_sil=8000:lcm=predicate:random_seed=3632969713: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)
% 6.74/1.93 % (4111711)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=454135769:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.74/1.93 % (4111713)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2217433013:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.74/1.93 % (4111712)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=3480687153:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.74/1.93 % (4111710)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=2000424970:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.74/1.93 % (4111715)Instruction limit reached!
% 6.74/1.93 % (4111715)------------------------------
% 6.74/1.93 % (4111715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111715)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111715)Termination reason: Instruction limit
% 6.74/1.93 % (4111715)Termination phase: Saturation
% 6.74/1.93 % (4111715)Time elapsed: 0.049 s
% 6.74/1.93 % (4111715)Peak memory usage: 90 MB
% 6.74/1.93 % (4111715)Instructions burned: 139 (million)
% 6.74/1.93 % (4111713)Refutation not found, incomplete strategy
% 6.74/1.93 % (4111713)------------------------------
% 6.74/1.93 % (4111713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111713)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111713)Termination reason: Refutation not found, incomplete strategy
% 6.74/1.93 % (4111713)Time elapsed: 0.028 s
% 6.74/1.93 % (4111713)Peak memory usage: 88 MB
% 6.74/1.93 % (4111713)Instructions burned: 48 (million)
% 6.74/1.93 % (4111714)Instruction limit reached!
% 6.74/1.93 % (4111714)------------------------------
% 6.74/1.93 % (4111714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111714)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111714)Termination reason: Instruction limit
% 6.74/1.93 % (4111714)Termination phase: Saturation
% 6.74/1.93 % (4111714)Time elapsed: 0.069 s
% 6.74/1.93 % (4111714)Peak memory usage: 88 MB
% 6.74/1.93 % (4111714)Instructions burned: 120 (million)
% 6.74/1.93 % (4111716)Instruction limit reached!
% 6.74/1.93 % (4111716)------------------------------
% 6.74/1.93 % (4111716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111716)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111716)Termination reason: Instruction limit
% 6.74/1.93 % (4111716)Termination phase: Saturation
% 6.74/1.93 % (4111716)Time elapsed: 0.079 s
% 6.74/1.93 % (4111716)Peak memory usage: 89 MB
% 6.74/1.93 % (4111716)Instructions burned: 130 (million)
% 6.74/1.93 % (4111724)lrs+10_1_sil=8000:sp=occurrence:random_seed=969011533:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.74/1.93 % (4111725)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2223655224:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.74/1.93 % (4111724)Instruction limit reached!
% 6.74/1.93 % (4111724)------------------------------
% 6.74/1.93 % (4111724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111724)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111724)Termination reason: Instruction limit
% 6.74/1.93 % (4111724)Termination phase: Saturation
% 6.74/1.93 % (4111724)Time elapsed: 0.098 s
% 6.74/1.93 % (4111724)Peak memory usage: 92 MB
% 6.74/1.93 % (4111724)Instructions burned: 287 (million)
% 6.74/1.93 % (4111726)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3483480946:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.74/1.93 % (4111713)------------------------------
% 6.74/1.93 % (4111713)------------------------------
% 6.74/1.93 % (4111725)Instruction limit reached!
% 6.74/1.93 % (4111725)------------------------------
% 6.74/1.93 % (4111725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111725)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111725)Termination reason: Instruction limit
% 6.74/1.93 % (4111725)Termination phase: Saturation
% 6.74/1.93 % (4111725)Time elapsed: 0.082 s
% 6.74/1.93 % (4111725)Peak memory usage: 90 MB
% 6.74/1.93 % (4111725)Instructions burned: 157 (million)
% 6.74/1.93 % (4111729)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=2840512073:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.74/1.93 % (4111731)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1821949981:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.74/1.93 % (4111729)Instruction limit reached!
% 6.74/1.93 % (4111729)------------------------------
% 6.74/1.93 % (4111729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111729)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111729)Termination reason: Instruction limit
% 6.74/1.93 % (4111729)Termination phase: Saturation
% 6.74/1.93 % (4111729)Time elapsed: 0.071 s
% 6.74/1.93 % (4111729)Peak memory usage: 92 MB
% 6.74/1.93 % (4111729)Instructions burned: 251 (million)
% 6.74/1.93 % (4111726)Instruction limit reached!
% 6.74/1.93 % (4111726)------------------------------
% 6.74/1.93 % (4111726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111726)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111726)Termination reason: Instruction limit
% 6.74/1.93 % (4111726)Termination phase: Saturation
% 6.74/1.93 % (4111726)Time elapsed: 0.214 s
% 6.74/1.93 % (4111726)Peak memory usage: 91 MB
% 6.74/1.93 % (4111726)Instructions burned: 325 (million)
% 6.74/1.93 % (4111732)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2491887281:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.74/1.93 % (4111735)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3460275404:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.74/1.93 % (4111735)Instruction limit reached!
% 6.74/1.93 % (4111735)------------------------------
% 6.74/1.93 % (4111735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111735)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111735)Termination reason: Instruction limit
% 6.74/1.93 % (4111735)Termination phase: Saturation
% 6.74/1.93 % (4111735)Time elapsed: 0.035 s
% 6.74/1.93 % (4111735)Peak memory usage: 89 MB
% 6.74/1.93 % (4111735)Instructions burned: 114 (million)
% 6.74/1.93 % (4111731)Instruction limit reached!
% 6.74/1.93 % (4111731)------------------------------
% 6.74/1.93 % (4111731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111731)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111731)Termination reason: Instruction limit
% 6.74/1.93 % (4111731)Termination phase: Saturation
% 6.74/1.93 % (4111731)Time elapsed: 0.172 s
% 6.74/1.93 % (4111731)Peak memory usage: 89 MB
% 6.74/1.93 % (4111731)Instructions burned: 295 (million)
% 6.74/1.93 % (4111736)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3648754098:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.74/1.93 % (4111710)First to succeed.
% 6.74/1.93 % (4111710)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4111705"
% 6.74/1.93 % (4111736)Instruction limit reached!
% 6.74/1.93 % (4111736)------------------------------
% 6.74/1.93 % (4111736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111736)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111736)Termination reason: Instruction limit
% 6.74/1.93 % (4111736)Termination phase: Saturation
% 6.74/1.93 % (4111736)Time elapsed: 0.071 s
% 6.74/1.93 % (4111736)Peak memory usage: 89 MB
% 6.74/1.93 % (4111736)Instructions burned: 128 (million)
% 6.74/1.93 % (4111739)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=725404382:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.74/1.93 % (4111739)Instruction limit reached!
% 6.74/1.93 % (4111739)------------------------------
% 6.74/1.93 % (4111739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111739)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111739)Termination reason: Instruction limit
% 6.74/1.93 % (4111739)Termination phase: Saturation
% 6.74/1.93 % (4111739)Time elapsed: 0.035 s
% 6.74/1.93 % (4111739)Peak memory usage: 89 MB
% 6.74/1.93 % (4111739)Instructions burned: 115 (million)
% 6.74/1.93 % (4111740)lrs+10_1_sil=8000:sp=occurrence:random_seed=2537338071:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.74/1.93 % (4111742)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3914985034:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.74/1.93 % (4111742)Refutation not found, incomplete strategy
% 6.74/1.93 % (4111742)------------------------------
% 6.74/1.93 % (4111742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.93 % (4111742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.93 % (4111742)CaDiCaL version: 2.1.3
% 6.74/1.93 % (4111742)Termination reason: Refutation not found, incomplete strategy
% 6.74/1.93 % (4111742)Time elapsed: 0.002 s
% 6.74/1.93 % (4111742)Peak memory usage: 88 MB
% 6.74/1.93 % (4111742)Instructions burned: 2 (million)
% 6.74/1.93 % (4111744)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4120901800:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.74/1.93 % (4111710)Refutation found. Thanks to Tanya!
% 6.74/1.93 % SZS status Theorem for theBenchmark
% 6.74/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 8.29/2.12 % (4111710)------------------------------
% 8.29/2.12 % (4111710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.12 % (4111710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.12 % (4111710)CaDiCaL version: 2.1.3
% 8.29/2.12 % (4111710)Termination reason: Refutation
% 8.29/2.12 % (4111710)Time elapsed: 0.659 s
% 8.29/2.12 % (4111710)Peak memory usage: 128 MB
% 8.29/2.12 % (4111710)Instructions burned: 986 (million)
% 8.29/2.12 % (4111710)------------------------------
% 8.29/2.12 % (4111710)------------------------------
% 8.29/2.12 % (4111705)Success in time 1.095 s
% 8.29/2.12 % Vampire exiting
%------------------------------------------------------------------------------