%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO593+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:54:49 AM UTC 2026
% Result : Theorem 0.16s 0.91s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 106 ( 12 unt; 2 def)
% Number of atoms : 301 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 315 ( 120 ~; 115 |; 60 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 3 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 476 ( 0 sgn 452 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
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/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD21) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD29) ).
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/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD40) ).
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/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD43) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X1,X2,X3)
& coll(X4,X0,X2)
& coll(X4,X1,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD65) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
& cong(X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( perp(X2,X0,X2,X1)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& midp(X4,X1,X0)
& circle(X4,X2,X9,X10)
& perp(X5,X0,X2,X4)
& coll(X5,X2,X4)
& coll(X6,X0,X5)
& circle(X4,X2,X6,X11)
& coll(X7,X1,X2)
& coll(X7,X0,X5)
& coll(X8,X2,X3)
& coll(X8,X0,X5) )
=> cong(X8,X2,X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416055) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( perp(X2,X0,X2,X1)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& midp(X4,X1,X0)
& circle(X4,X2,X9,X10)
& perp(X5,X0,X2,X4)
& coll(X5,X2,X4)
& coll(X6,X0,X5)
& circle(X4,X2,X6,X11)
& coll(X7,X1,X2)
& coll(X7,X0,X5)
& coll(X8,X2,X3)
& coll(X8,X0,X5) )
=> cong(X8,X2,X8,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
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(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
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(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f29]) ).
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(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(f195,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3) ),
inference(ennf_transformation,[],[f66]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3) ),
inference(flattening,[],[f195]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(flattening,[],[f212]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cong(X8,X2,X8,X7)
& perp(X2,X0,X2,X1)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& midp(X4,X1,X0)
& circle(X4,X2,X9,X10)
& perp(X5,X0,X2,X4)
& coll(X5,X2,X4)
& coll(X6,X0,X5)
& circle(X4,X2,X6,X11)
& coll(X7,X1,X2)
& coll(X7,X0,X5)
& coll(X8,X2,X3)
& coll(X8,X0,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cong(X8,X2,X8,X7)
& perp(X2,X0,X2,X1)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& midp(X4,X1,X0)
& circle(X4,X2,X9,X10)
& perp(X5,X0,X2,X4)
& coll(X5,X2,X4)
& coll(X6,X0,X5)
& circle(X4,X2,X6,X11)
& coll(X7,X1,X2)
& coll(X7,X0,X5)
& coll(X8,X2,X3)
& coll(X8,X0,X5) ),
inference(flattening,[],[f249]) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f258,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f259,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(f267,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(f268,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
fof(f269,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(f271,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(f279,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f135]) ).
fof(f289,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(f290,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(f292,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f152]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(cnf_transformation,[],[f196]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f213]) ).
fof(f375,plain,
perp(sK23,sK22,sK20,sK21),
inference(cnf_transformation,[],[f250]) ).
fof(f377,plain,
~ cong(sK28,sK22,sK28,sK27),
inference(cnf_transformation,[],[f250]) ).
fof(f461,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X1,X0,X4,X5) ),
inference(resolution,[],[f268,f290]) ).
fof(f474,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X1,X0,X2,X3) ),
inference(resolution,[],[f461,f289]) ).
fof(f482,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X3,X2,X4,X5) ),
inference(resolution,[],[f269,f461]) ).
fof(f498,definition,
( spl32_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl32_1])],[avatar_definition]) ).
fof(f499,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl32_1 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f506,plain,
( ! [X0,X1] : coll(X0,X1,X1)
| ~ spl32_1 ),
inference(resolution,[],[f499,f317]) ).
fof(f507,plain,
( ! [X0,X1] : para(X0,X1,X1,X0)
| ~ spl32_1 ),
inference(resolution,[],[f499,f474]) ).
fof(f522,plain,
perp(sK23,sK22,sK21,sK20),
inference(resolution,[],[f257,f375]) ).
fof(f539,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK23,sK22)
| para(X0,X1,sK21,sK20) ),
inference(resolution,[],[f522,f259]) ).
fof(f558,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X1,X0)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f482,f289]) ).
fof(f560,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X1,X0,X5,X4,X2,X3) ),
inference(resolution,[],[f482,f268]) ).
fof(f570,plain,
( ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X1,X0,X3,X2)
| ~ spl32_1 ),
inference(resolution,[],[f560,f499]) ).
fof(f571,plain,
( ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3)
| ~ spl32_1 ),
inference(resolution,[],[f560,f507]) ).
fof(f584,plain,
( ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3)
| ~ spl32_1 ),
inference(resolution,[],[f571,f268]) ).
fof(f621,plain,
( ! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X1,X2,X3,X2,X3)
| ~ spl32_1 ),
inference(resolution,[],[f271,f584]) ).
fof(f669,plain,
perp(sK20,sK21,sK23,sK22),
inference(resolution,[],[f258,f375]) ).
fof(f1044,plain,
( ! [X2,X0,X1] :
( cyclic(X2,X2,X0,X1)
| coll(X0,X1,X2) )
| ~ spl32_1 ),
inference(resolution,[],[f292,f621]) ).
fof(f1388,plain,
( ! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| cyclic(X2,X2,X0,X1) )
| ~ spl32_1 ),
inference(resolution,[],[f293,f621]) ).
fof(f1397,plain,
( ! [X2,X0,X1] : cyclic(X2,X2,X0,X1)
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f1388,f1044]) ).
fof(f1473,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl32_1 ),
inference(resolution,[],[f1397,f267]) ).
fof(f1484,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f1473,f1397]) ).
fof(f2911,plain,
( ! [X2,X0,X1] :
( ~ coll(X0,X1,X1)
| ~ coll(X0,X2,X2)
| eqratio(X0,X1,X1,X1,X0,X2,X2,X2) )
| ~ spl32_1 ),
inference(resolution,[],[f316,f499]) ).
fof(f2914,plain,
( ! [X2,X0,X1] :
( ~ coll(X0,X1,X1)
| eqratio(X0,X1,X1,X1,X0,X2,X2,X2) )
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f2911,f506]) ).
fof(f2915,plain,
( ! [X2,X0,X1] : eqratio(X0,X1,X1,X1,X0,X2,X2,X2)
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f2914,f506]) ).
fof(f2928,plain,
( ! [X2,X0,X1] : eqratio(X0,X1,X0,X2,X1,X1,X2,X2)
| ~ spl32_1 ),
inference(resolution,[],[f2915,f279]) ).
fof(f2932,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X0,X1,X1)
| cong(X2,X0,X2,X1) )
| ~ spl32_1 ),
inference(resolution,[],[f2928,f326]) ).
fof(f7625,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| cong(X0,X1,X3,X4) )
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f294,f1484]) ).
fof(f7626,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) )
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f7625,f1484]) ).
fof(f7627,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) )
| ~ spl32_1 ),
inference(forward_subsumption_resolution,[],[f7626,f1484]) ).
fof(f9861,plain,
( ! [X0,X1] : cong(X0,X0,X1,X1)
| ~ spl32_1 ),
inference(resolution,[],[f7627,f570]) ).
fof(f9910,plain,
( ! [X2,X0,X1] : cong(X0,X1,X0,X2)
| ~ spl32_1 ),
inference(resolution,[],[f9861,f2932]) ).
fof(f10061,plain,
( $false
| ~ spl32_1 ),
inference(resolution,[],[f9910,f377]) ).
fof(f10076,plain,
~ spl32_1,
inference(avatar_contradiction_clause,[],[f10061]) ).
fof(f10082,definition,
( spl32_76
<=> ! [X0,X1] : ~ para(X0,X1,X1,X0) ),
introduced(definition,[new_symbols(definition,[spl32_76])],[avatar_definition]) ).
fof(f10083,plain,
( ! [X0,X1] : ~ para(X0,X1,X1,X0)
| ~ spl32_76 ),
inference(avatar_component_clause,[],[f10082]) ).
fof(f10084,plain,
( spl32_1
| spl32_76 ),
inference(avatar_split_clause,[],[f558,f10082,f498]) ).
fof(f10114,plain,
para(sK20,sK21,sK21,sK20),
inference(resolution,[],[f669,f539]) ).
fof(f10122,plain,
( $false
| ~ spl32_76 ),
inference(forward_subsumption_resolution,[],[f10114,f10083]) ).
fof(f10123,plain,
~ spl32_76,
inference(avatar_contradiction_clause,[],[f10122]) ).
cnf(s42,plain,
~ spl32_1,
inference(sat_conversion,[],[f10076]) ).
cnf(s43,plain,
( spl32_1
| spl32_76 ),
inference(sat_conversion,[],[f10084]) ).
cnf(s47,plain,
~ spl32_76,
inference(sat_conversion,[],[f10123]) ).
cnf(s49,plain,
spl32_1,
inference(rat,[],[s43,s47]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s42,s49]) ).
fof(f10124,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO593+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.55 % Computer : n026.cluster.edu
% 0.13/0.55 % Model : x86_64 x86_64
% 0.13/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.55 % Memory : 8046.5625MB
% 0.13/0.55 % OS : Linux 6.8.0-71-generic
% 0.13/0.55 % CPULimit : 300
% 0.13/0.55 % WCLimit : 300
% 0.13/0.55 % DateTime : Sun Sep 27 08:38:15 UTC 2026
% 0.16/0.56 % CPUTime :
% 0.16/0.56 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.59 Running first-order model finding
% 0.16/0.59 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.91 % (2531483)Will run a generic schedule for satisfiability detection.
% 0.16/0.91 % (2531493)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1626391746_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.91 % (2531494)% WARNING: option uhcvi not known.
% 0.16/0.91 % TRYING [1]
% 0.16/0.91 % TRYING [2]
% 0.16/0.91 % (2531496)dis+10_1_sil=32000:sp=arity:random_seed=2047646625:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.91 % (2531497)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2390201576:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.91 % (2531495)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=146454375:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.91 % (2531494)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1726778850:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.91 % (2531498)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4071077868:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.91 % (2531499)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=370127565:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.91 % TRYING [3]
% 0.16/0.91 % (2531496)Instruction limit reached!
% 0.16/0.91 % (2531496)------------------------------
% 0.16/0.91 % (2531496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.91 % (2531496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.91 % (2531496)CaDiCaL version: 2.1.3
% 0.16/0.91 % (2531496)Termination reason: Instruction limit
% 0.16/0.91 % (2531496)Termination phase: Saturation
% 0.16/0.91 % (2531496)Time elapsed: 0.068 s
% 0.16/0.91 % (2531496)Peak memory usage: 13 MB
% 0.16/0.91 % (2531496)Instructions burned: 104 (million)
% 0.16/0.91 % (2531497)Instruction limit reached!
% 0.16/0.91 % (2531497)------------------------------
% 0.16/0.91 % (2531497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.91 % (2531497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.91 % (2531497)CaDiCaL version: 2.1.3
% 0.16/0.91 % (2531497)Termination reason: Instruction limit
% 0.16/0.91 % (2531497)Termination phase: Saturation
% 0.16/0.91 % (2531497)Time elapsed: 0.069 s
% 0.16/0.91 % (2531497)Peak memory usage: 13 MB
% 0.16/0.91 % (2531497)Instructions burned: 116 (million)
% 0.16/0.91 % (2531498)Instruction limit reached!
% 0.16/0.91 % (2531498)------------------------------
% 0.16/0.91 % (2531498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.91 % (2531498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.91 % (2531498)CaDiCaL version: 2.1.3
% 0.16/0.91 % (2531498)Termination reason: Instruction limit
% 0.16/0.91 % (2531498)Termination phase: Saturation
% 0.16/0.91 % (2531498)Time elapsed: 0.081 s
% 0.16/0.91 % (2531498)Peak memory usage: 14 MB
% 0.16/0.91 % (2531498)Instructions burned: 132 (million)
% 0.16/0.91 % (2531507)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2455273785:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.16/0.91 % (2531508)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3731433013:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.16/0.91 % (2531499)Instruction limit reached!
% 0.16/0.91 % (2531499)------------------------------
% 0.16/0.91 % (2531499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.91 % (2531499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.91 % (2531499)CaDiCaL version: 2.1.3
% 0.16/0.91 % (2531499)Termination reason: Instruction limit
% 0.16/0.91 % (2531499)Termination phase: Saturation
% 0.16/0.91 % (2531499)Time elapsed: 0.091 s
% 0.16/0.91 % (2531499)Peak memory usage: 15 MB
% 0.16/0.91 % (2531499)Instructions burned: 160 (million)
% 0.16/0.91 % TRYING [1]
% 0.16/0.91 % TRYING [2]
% 0.16/0.91 % (2531509)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=878507289:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.16/0.91 % (2531512)ott-21_1_sil=16000:fs=off:random_seed=31437291:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.16/0.91 % TRYING [3]
% 0.16/0.91 % (2531508)Instruction limit reached!
% 0.16/0.91 % (2531508)------------------------------
% 0.16/0.91 % (2531508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.91 % (2531508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.91 % (2531508)CaDiCaL version: 2.1.3
% 0.16/0.91 % (2531508)Termination reason: Instruction limit
% 0.16/0.91 % (2531508)Termination phase: Saturation
% 0.16/0.91 % (2531508)Time elapsed: 0.077 s
% 0.16/0.91 % (2531508)Peak memory usage: 14 MB
% 0.16/0.91 % (2531508)Instructions burned: 132 (million)
% 0.16/0.91 % (2531515)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1103515234:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.16/0.91 % (2531512)Instruction limit reached!
% 0.16/0.91 % (2531512)------------------------------
% 0.16/0.91 % (2531512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.91 % (2531512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.91 % (2531512)CaDiCaL version: 2.1.3
% 0.16/0.91 % (2531512)Termination reason: Instruction limit
% 0.16/0.91 % (2531512)Termination phase: Saturation
% 0.16/0.91 % (2531512)Time elapsed: 0.097 s
% 0.16/0.91 % (2531512)Peak memory usage: 13 MB
% 0.16/0.91 % (2531512)Instructions burned: 181 (million)
% 0.16/0.91 % (2531517)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3222490435:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 0.16/0.91 % TRYING [1]
% 0.16/0.91 % TRYING [2]
% 0.16/0.91 % (2531509) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2531483-2531509"...
% 0.16/0.91 % (2531509)...printing done.
% 0.16/0.91 % (2531509)Refutation found. Thanks to Tanya!
% 0.16/0.91 % SZS status Theorem for theBenchmark
% 0.16/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.91 % (2531509)------------------------------
% 0.16/0.91 % (2531509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.91 % (2531509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.91 % (2531509)CaDiCaL version: 2.1.3
% 0.16/0.91 % (2531509)Termination reason: Refutation
% 0.16/0.91 % (2531509)Time elapsed: 0.164 s
% 0.16/0.91 % (2531509)Peak memory usage: 16 MB
% 0.16/0.91 % (2531509)Instructions burned: 272 (million)
% 0.16/0.91 % (2531483)Success in time 0.313 s
% 0.16/0.91 % Vampire exiting
%------------------------------------------------------------------------------