%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO638+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 : n026.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 09:53:07 AM UTC 2026
% Result : Theorem 6.16s 1.96s
% Output : Refutation 8.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 10 unt; 2 def)
% Number of atoms : 266 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 284 ( 110 ~; 105 |; 52 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 384 ( 0 sgn 362 !; 22 ?)
% 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,X7,X8,X9,X10] :
( ( midp(X2,X0,X1)
& circle(X2,X0,X8,X9)
& circle(X2,X0,X3,X10)
& perp(X2,X3,X3,X4)
& para(X0,X4,X5,X1)
& coll(X5,X3,X4)
& midp(X6,X5,X4)
& perp(X7,X6,X0,X1)
& coll(X7,X0,X1) )
=> perp(X5,X7,X4,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109104) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( midp(X2,X0,X1)
& circle(X2,X0,X8,X9)
& circle(X2,X0,X3,X10)
& perp(X2,X3,X3,X4)
& para(X0,X4,X5,X1)
& coll(X5,X3,X4)
& midp(X6,X5,X4)
& perp(X7,X6,X0,X1)
& coll(X7,X0,X1) )
=> perp(X5,X7,X4,X7) ),
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,X9,X10] :
( ~ perp(X5,X7,X4,X7)
& midp(X2,X0,X1)
& circle(X2,X0,X8,X9)
& circle(X2,X0,X3,X10)
& perp(X2,X3,X3,X4)
& para(X0,X4,X5,X1)
& coll(X5,X3,X4)
& midp(X6,X5,X4)
& perp(X7,X6,X0,X1)
& coll(X7,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X5,X7,X4,X7)
& midp(X2,X0,X1)
& circle(X2,X0,X8,X9)
& circle(X2,X0,X3,X10)
& perp(X2,X3,X3,X4)
& para(X0,X4,X5,X1)
& coll(X5,X3,X4)
& midp(X6,X5,X4)
& perp(X7,X6,X0,X1)
& coll(X7,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK25,sK27,sK24,sK27)
& midp(sK22,sK20,sK21)
& circle(sK22,sK20,sK28,sK29)
& circle(sK22,sK20,sK23,sK30)
& perp(sK22,sK23,sK23,sK24)
& para(sK20,sK24,sK25,sK21)
& coll(sK25,sK23,sK24)
& midp(sK26,sK25,sK24)
& perp(sK27,sK26,sK20,sK21)
& coll(sK27,sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30]),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)],[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(sK22,sK23,sK23,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ perp(sK25,sK27,sK24,sK27),
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(f404,plain,
perp(sK23,sK24,sK22,sK23),
inference(resolution,[],[f389,f278]) ).
fof(f415,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK23)
| para(X0,X1,sK23,sK24) ),
inference(resolution,[],[f279,f389]) ).
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(f428,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f425,f309]) ).
fof(f432,definition,
( spl31_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f433,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl31_1 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f435,definition,
( spl31_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f436,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f437,plain,
( spl31_1
| spl31_2 ),
inference(avatar_split_clause,[],[f428,f435,f432]) ).
fof(f449,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(f463,plain,
para(sK23,sK24,sK23,sK24),
inference(resolution,[],[f415,f404]) ).
fof(f464,plain,
( $false
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f463,f436]) ).
fof(f465,plain,
~ spl31_2,
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f470,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f312,f449]) ).
fof(f474,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0) )
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f470,f433]) ).
fof(f491,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f313,f449]) ).
fof(f495,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) )
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f491,f474]) ).
fof(f499,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f495,f433]) ).
fof(f502,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl31_1 ),
inference(resolution,[],[f499,f287]) ).
fof(f504,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f502,f499]) ).
fof(f509,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl31_1 ),
inference(resolution,[],[f504,f396]) ).
fof(f511,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f509,f504]) ).
fof(f513,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f511,f504]) ).
fof(f515,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl31_1 ),
inference(resolution,[],[f513,f327]) ).
fof(f516,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f515,f513]) ).
fof(f517,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl31_1 ),
inference(resolution,[],[f516,f279]) ).
fof(f518,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| perp(X0,X1,X3,X4) )
| ~ spl31_1 ),
inference(resolution,[],[f516,f280]) ).
fof(f519,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl31_1 ),
inference(resolution,[],[f516,f278]) ).
fof(f522,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f517,f519]) ).
fof(f532,plain,
( ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3)
| ~ spl31_1 ),
inference(resolution,[],[f518,f522]) ).
fof(f533,plain,
( $false
| ~ spl31_1 ),
inference(resolution,[],[f532,f393]) ).
fof(f539,plain,
~ spl31_1,
inference(avatar_contradiction_clause,[],[f533]) ).
cnf(s1,plain,
( spl31_1
| spl31_2 ),
inference(sat_conversion,[],[f437]) ).
cnf(s2,plain,
~ spl31_2,
inference(sat_conversion,[],[f465]) ).
cnf(s3,plain,
~ spl31_1,
inference(sat_conversion,[],[f539]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f540,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO638+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n026.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 08:44:41 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 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
% 6.16/1.96 % (2534506)Detected formulas, will run a generic FOF schedule.
% 6.16/1.96 % (2534516)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=55390315:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.16/1.96 % (2534514)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1767221849:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.16/1.96 % (2534515)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2647541861:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.16/1.96 % (2534513)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=3186986300:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.16/1.96 % (2534512)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=3402004134:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.16/1.96 % (2534511)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=1150593638:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.16/1.96 % (2534517)dis-21_1_sil=8000:lcm=predicate:random_seed=2943661242: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)
% 6.16/1.96 % (2534516)Instruction limit reached!
% 6.16/1.96 % (2534516)------------------------------
% 6.16/1.96 % (2534516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (2534516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (2534516)CaDiCaL version: 2.1.3
% 6.16/1.96 % (2534516)Termination reason: Instruction limit
% 6.16/1.96 % (2534516)Termination phase: Saturation
% 6.16/1.96 % (2534516)Time elapsed: 0.052 s
% 6.16/1.96 % (2534516)Peak memory usage: 90 MB
% 6.16/1.96 % (2534516)Instructions burned: 142 (million)
% 6.16/1.96 % (2534515)Instruction limit reached!
% 6.16/1.96 % (2534515)------------------------------
% 6.16/1.96 % (2534515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (2534515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (2534515)CaDiCaL version: 2.1.3
% 6.16/1.96 % (2534515)Termination reason: Instruction limit
% 6.16/1.96 % (2534515)Termination phase: Saturation
% 6.16/1.96 % (2534515)Time elapsed: 0.071 s
% 6.16/1.96 % (2534515)Peak memory usage: 88 MB
% 6.16/1.96 % (2534515)Instructions burned: 119 (million)
% 6.16/1.96 % (2534514)Instruction limit reached!
% 6.16/1.96 % (2534514)------------------------------
% 6.16/1.96 % (2534514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (2534514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (2534514)CaDiCaL version: 2.1.3
% 6.16/1.96 % (2534514)Termination reason: Instruction limit
% 6.16/1.96 % (2534514)Termination phase: Saturation
% 6.16/1.96 % (2534514)Time elapsed: 0.071 s
% 6.16/1.96 % (2534514)Peak memory usage: 89 MB
% 6.16/1.96 % (2534514)Instructions burned: 111 (million)
% 6.16/1.96 % (2534517)Instruction limit reached!
% 6.16/1.96 % (2534517)------------------------------
% 6.16/1.96 % (2534517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (2534517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (2534517)CaDiCaL version: 2.1.3
% 6.16/1.96 % (2534517)Termination reason: Instruction limit
% 6.16/1.96 % (2534517)Termination phase: Saturation
% 6.16/1.96 % (2534517)Time elapsed: 0.078 s
% 6.16/1.96 % (2534517)Peak memory usage: 89 MB
% 6.16/1.96 % (2534517)Instructions burned: 130 (million)
% 6.16/1.96 % (2534525)lrs+10_1_sil=8000:sp=occurrence:random_seed=3832281659:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.16/1.96 % (2534527)lrs+1011_1_sil=32000:sp=occurrence:random_seed=397626448:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.16/1.96 % (2534526)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4112667136:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.16/1.96 % (2534525)Instruction limit reached!
% 6.16/1.96 % (2534525)------------------------------
% 6.16/1.96 % (2534525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (2534525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (2534525)CaDiCaL version: 2.1.3
% 6.16/1.96 % (2534525)Termination reason: Instruction limit
% 6.16/1.96 % (2534525)Termination phase: Saturation
% 6.16/1.96 % (2534525)Time elapsed: 0.103 s
% 6.16/1.96 % (2534525)Peak memory usage: 93 MB
% 6.16/1.96 % (2534525)Instructions burned: 288 (million)
% 6.16/1.96 % (2534528)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=1044768583:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.16/1.96 % (2534526)Instruction limit reached!
% 6.16/1.96 % (2534526)------------------------------
% 6.16/1.96 % (2534526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (2534526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (2534526)CaDiCaL version: 2.1.3
% 6.16/1.96 % (2534526)Termination reason: Instruction limit
% 6.16/1.96 % (2534526)Termination phase: Saturation
% 6.16/1.96 % (2534526)Time elapsed: 0.087 s
% 6.16/1.96 % (2534526)Peak memory usage: 90 MB
% 6.16/1.96 % (2534526)Instructions burned: 159 (million)
% 6.16/1.96 % (2534533)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3977522513:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.16/1.96 % (2534528)Instruction limit reached!
% 6.16/1.96 % (2534528)------------------------------
% 6.16/1.96 % (2534528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (2534528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (2534528)CaDiCaL version: 2.1.3
% 6.16/1.96 % (2534528)Termination reason: Instruction limit
% 6.16/1.96 % (2534528)Termination phase: Saturation
% 6.16/1.96 % (2534528)Time elapsed: 0.137 s
% 6.16/1.96 % (2534528)Peak memory usage: 91 MB
% 6.16/1.96 % (2534528)Instructions burned: 249 (million)
% 6.16/1.96 % (2534533)Instruction limit reached!
% 6.16/1.96 % (2534533)------------------------------
% 6.16/1.96 % (2534533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (2534533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (2534533)CaDiCaL version: 2.1.3
% 6.16/1.96 % (2534533)Termination reason: Instruction limit
% 6.16/1.96 % (2534533)Termination phase: Saturation
% 6.16/1.96 % (2534533)Time elapsed: 0.091 s
% 6.16/1.96 % (2534533)Peak memory usage: 89 MB
% 6.16/1.96 % (2534533)Instructions burned: 294 (million)
% 6.16/1.96 % (2534527)Instruction limit reached!
% 6.16/1.96 % (2534527)------------------------------
% 6.16/1.96 % (2534527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (2534527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (2534527)CaDiCaL version: 2.1.3
% 6.16/1.96 % (2534527)Termination reason: Instruction limit
% 6.16/1.96 % (2534527)Termination phase: Saturation
% 6.16/1.96 % (2534527)Time elapsed: 0.212 s
% 6.16/1.96 % (2534527)Peak memory usage: 92 MB
% 6.16/1.96 % (2534527)Instructions burned: 325 (million)
% 6.16/1.96 % (2534534)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1304525030:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.16/1.96 % (2534538)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=245979537:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.16/1.96 % (2534536)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2707697482:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.16/1.96 % (2534538)Instruction limit reached!
% 6.16/1.96 % (2534538)------------------------------
% 6.16/1.96 % (2534538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (2534538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (2534538)CaDiCaL version: 2.1.3
% 6.16/1.96 % (2534538)Termination reason: Instruction limit
% 6.16/1.96 % (2534538)Termination phase: Saturation
% 6.16/1.96 % (2534538)Time elapsed: 0.038 s
% 6.16/1.96 % (2534538)Peak memory usage: 89 MB
% 6.16/1.96 % (2534538)Instructions burned: 129 (million)
% 6.16/1.96 % (2534539)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3289004131:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.16/1.96 % (2534536)Instruction limit reached!
% 6.16/1.96 % (2534536)------------------------------
% 6.16/1.96 % (2534536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (2534536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (2534536)CaDiCaL version: 2.1.3
% 6.16/1.96 % (2534536)Termination reason: Instruction limit
% 6.16/1.96 % (2534536)Termination phase: Saturation
% 6.16/1.96 % (2534536)Time elapsed: 0.067 s
% 6.16/1.96 % (2534536)Peak memory usage: 90 MB
% 6.16/1.96 % (2534536)Instructions burned: 114 (million)
% 6.16/1.96 % (2534539)Instruction limit reached!
% 6.16/1.96 % (2534539)------------------------------
% 6.16/1.96 % (2534539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (2534539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (2534539)CaDiCaL version: 2.1.3
% 6.16/1.96 % (2534539)Termination reason: Instruction limit
% 6.16/1.96 % (2534539)Termination phase: Saturation
% 6.16/1.96 % (2534539)Time elapsed: 0.065 s
% 6.16/1.96 % (2534539)Peak memory usage: 89 MB
% 6.16/1.96 % (2534539)Instructions burned: 115 (million)
% 6.16/1.96 % (2534543)lrs+10_1_sil=8000:sp=occurrence:random_seed=4004739557:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.16/1.96 % (2534511)First to succeed.
% 6.16/1.96 % (2534511)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2534506"
% 6.16/1.96 % (2534544)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=542526858:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.16/1.96 % (2534512)Also succeeded, but the first one will report.
% 6.16/1.96 % (2534545)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2259435263:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.16/1.96 % (2534511)Refutation found. Thanks to Tanya!
% 6.16/1.96 % SZS status Theorem for theBenchmark
% 6.16/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.30/2.15 % (2534511)------------------------------
% 8.30/2.15 % (2534511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.30/2.15 % (2534511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/2.15 % (2534511)CaDiCaL version: 2.1.3
% 8.30/2.15 % (2534511)Termination reason: Refutation
% 8.30/2.15 % (2534511)Time elapsed: 0.676 s
% 8.30/2.15 % (2534511)Peak memory usage: 130 MB
% 8.30/2.15 % (2534511)Instructions burned: 988 (million)
% 8.30/2.15 % (2534511)------------------------------
% 8.30/2.15 % (2534511)------------------------------
% 8.30/2.15 % (2534506)Success in time 1.091 s
% 8.30/2.15 % Vampire exiting
%------------------------------------------------------------------------------