%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO573+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 : n001.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 09:54:46 AM UTC 2026
% Result : Theorem 1.54s 0.78s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 24
% Syntax : Number of formulae : 140 ( 13 unt; 2 def)
% Number of atoms : 377 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 406 ( 169 ~; 164 |; 48 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 521 ( 0 sgn 503 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
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(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(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X3,X0,X1)
& para(X3,X4,X1,X2)
& coll(X4,X0,X2) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( midp(X2,X0,X1)
& perp(X3,X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f58,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3)
& cyclic(X0,X1,X2,X3) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
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(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& circle(X3,X2,X6,X8)
& coll(X6,X2,X4)
& coll(X7,X2,X4)
& coll(X7,X1,X5) )
=> cong(X0,X6,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214035) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& circle(X3,X2,X6,X8)
& coll(X6,X2,X4)
& coll(X7,X2,X4)
& coll(X7,X1,X5) )
=> cong(X0,X6,X0,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
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(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(f159,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ midp(X2,X0,X1)
| ~ perp(X3,X2,X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ midp(X2,X0,X1)
| ~ perp(X3,X2,X0,X1) ),
inference(flattening,[],[f178]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f182]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X0,X6,X0,X7)
& circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& circle(X3,X2,X6,X8)
& coll(X6,X2,X4)
& coll(X7,X2,X4)
& coll(X7,X1,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X0,X6,X0,X7)
& circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& circle(X3,X2,X6,X8)
& coll(X6,X2,X4)
& coll(X7,X2,X4)
& coll(X7,X1,X5) ),
inference(flattening,[],[f249]) ).
fof(f251,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
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(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(f296,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f318,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f319,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f369,plain,
perp(sK25,sK21,sK20,sK22),
inference(cnf_transformation,[],[f250]) ).
fof(f370,plain,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f250]) ).
fof(f373,plain,
~ cong(sK20,sK26,sK20,sK27),
inference(cnf_transformation,[],[f250]) ).
fof(f385,plain,
coll(sK20,sK24,sK21),
inference(resolution,[],[f252,f370]) ).
fof(f438,plain,
perp(sK25,sK21,sK22,sK20),
inference(resolution,[],[f257,f369]) ).
fof(f484,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK25,sK21)
| para(X0,X1,sK22,sK20) ),
inference(resolution,[],[f259,f438]) ).
fof(f490,plain,
perp(sK20,sK22,sK25,sK21),
inference(resolution,[],[f258,f369]) ).
fof(f494,plain,
para(sK20,sK22,sK22,sK20),
inference(resolution,[],[f490,f484]) ).
fof(f589,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(f598,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X1,X0,X2,X3) ),
inference(resolution,[],[f589,f289]) ).
fof(f618,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X3,X2,X4,X5) ),
inference(resolution,[],[f269,f589]) ).
fof(f619,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| eqangle(X0,X1,X2,X3,X0,X1,X4,X5) ),
inference(resolution,[],[f269,f290]) ).
fof(f649,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X1,X0)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f618,f289]) ).
fof(f653,definition,
( spl29_21
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).
fof(f654,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f656,definition,
( spl29_22
<=> ! [X0,X1] : ~ para(X0,X1,X1,X0) ),
introduced(definition,[new_symbols(definition,[spl29_22])],[avatar_definition]) ).
fof(f657,plain,
( ! [X0,X1] : ~ para(X0,X1,X1,X0)
| ~ spl29_22 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f658,plain,
( spl29_21
| spl29_22 ),
inference(avatar_split_clause,[],[f649,f656,f653]) ).
fof(f700,plain,
( $false
| ~ spl29_22 ),
inference(resolution,[],[f657,f494]) ).
fof(f705,plain,
~ spl29_22,
inference(avatar_contradiction_clause,[],[f700]) ).
fof(f706,plain,
( ! [X0,X1] : coll(X0,X1,X1)
| ~ spl29_21 ),
inference(resolution,[],[f654,f317]) ).
fof(f707,plain,
( ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3)
| ~ spl29_21 ),
inference(resolution,[],[f654,f619]) ).
fof(f708,plain,
( ! [X0,X1] : para(X0,X1,X1,X0)
| ~ spl29_21 ),
inference(resolution,[],[f654,f598]) ).
fof(f717,plain,
( ! [X0,X1] : coll(X0,X1,X0)
| ~ spl29_21 ),
inference(resolution,[],[f706,f252]) ).
fof(f722,plain,
( ! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) )
| ~ spl29_21 ),
inference(resolution,[],[f708,f296]) ).
fof(f827,plain,
( ! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X1,X2,X3,X2,X3)
| ~ spl29_21 ),
inference(resolution,[],[f271,f707]) ).
fof(f916,plain,
( ! [X0,X1] : coll(X0,X0,X1)
| ~ spl29_21 ),
inference(resolution,[],[f717,f251]) ).
fof(f924,plain,
! [X0] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(resolution,[],[f253,f385]) ).
fof(f970,plain,
( ! [X2,X0,X1] :
( cyclic(X2,X2,X0,X1)
| coll(X0,X1,X2) )
| ~ spl29_21 ),
inference(resolution,[],[f292,f827]) ).
fof(f995,plain,
! [X0,X1] :
( ~ coll(sK20,sK24,X0)
| ~ coll(sK21,X0,X1)
| coll(sK20,X1,sK21) ),
inference(resolution,[],[f924,f253]) ).
fof(f1318,plain,
( ! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| cyclic(X2,X2,X0,X1) )
| ~ spl29_21 ),
inference(resolution,[],[f293,f827]) ).
fof(f1331,plain,
( ! [X2,X0,X1] : cyclic(X2,X2,X0,X1)
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f1318,f970]) ).
fof(f1349,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl29_21 ),
inference(resolution,[],[f1331,f267]) ).
fof(f1356,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f1349,f1331]) ).
fof(f2158,plain,
! [X0] :
( ~ coll(sK21,sK21,X0)
| coll(sK20,X0,sK21) ),
inference(resolution,[],[f995,f385]) ).
fof(f2161,plain,
( ! [X0] : coll(sK20,X0,sK21)
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f2158,f916]) ).
fof(f2172,plain,
( ! [X0] : coll(sK20,sK21,X0)
| ~ spl29_21 ),
inference(resolution,[],[f2161,f251]) ).
fof(f2189,plain,
( ! [X0,X1] :
( ~ coll(sK20,sK21,X0)
| coll(X1,X0,sK20) )
| ~ spl29_21 ),
inference(resolution,[],[f2172,f253]) ).
fof(f2192,plain,
( ! [X0,X1] : coll(X1,X0,sK20)
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f2189,f2172]) ).
fof(f2266,plain,
( ! [X0,X1] : coll(X0,sK20,X1)
| ~ spl29_21 ),
inference(resolution,[],[f2192,f251]) ).
fof(f2849,plain,
( ! [X2,X0,X1] :
( ~ coll(X0,sK20,X1)
| coll(X2,X1,X0) )
| ~ spl29_21 ),
inference(resolution,[],[f2266,f253]) ).
fof(f2857,plain,
( ! [X2,X0,X1] : coll(X2,X1,X0)
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f2849,f2266]) ).
fof(f3052,plain,
( ! [X2,X3,X0,X1] :
( ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| perp(X2,X0,X0,X3) )
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f308,f1356]) ).
fof(f3053,plain,
( ! [X2,X0,X1] :
( ~ midp(X0,X2,X2)
| perp(X2,X0,X0,X1)
| ~ cong(X0,X1,X0,X1) )
| ~ spl29_21 ),
inference(resolution,[],[f3052,f319]) ).
fof(f8778,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) )
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f294,f1356]) ).
fof(f8779,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) )
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f8778,f1356]) ).
fof(f8780,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) )
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f8779,f1356]) ).
fof(f9134,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl29_21 ),
inference(resolution,[],[f8780,f707]) ).
fof(f9161,plain,
( ! [X0,X1] :
( ~ coll(X0,X1,X1)
| midp(X0,X1,X1) )
| ~ spl29_21 ),
inference(resolution,[],[f9134,f318]) ).
fof(f9174,plain,
( ! [X0,X1] : midp(X0,X1,X1)
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f9161,f2857]) ).
fof(f9185,plain,
( ! [X0,X1] :
( ~ coll(X0,X0,X1)
| midp(X0,X0,X1) )
| ~ spl29_21 ),
inference(resolution,[],[f9174,f722]) ).
fof(f9197,plain,
( ! [X2,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ cong(X1,X2,X1,X2) )
| ~ spl29_21 ),
inference(resolution,[],[f9174,f3053]) ).
fof(f9198,plain,
( ! [X2,X0,X1] : perp(X0,X1,X1,X2)
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f9197,f9134]) ).
fof(f9200,plain,
( ! [X0,X1] : midp(X0,X0,X1)
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f9185,f2857]) ).
fof(f9268,plain,
( ! [X2,X0,X1] :
( ~ midp(X0,X0,X1)
| cong(X2,X0,X2,X1) )
| ~ spl29_21 ),
inference(resolution,[],[f9198,f306]) ).
fof(f9286,plain,
( ! [X2,X0,X1] : cong(X2,X0,X2,X1)
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f9268,f9200]) ).
fof(f9945,plain,
( $false
| ~ spl29_21 ),
inference(resolution,[],[f9286,f373]) ).
fof(f9955,plain,
~ spl29_21,
inference(avatar_contradiction_clause,[],[f9945]) ).
cnf(s11,plain,
( spl29_21
| spl29_22 ),
inference(sat_conversion,[],[f658]) ).
cnf(s15,plain,
~ spl29_22,
inference(sat_conversion,[],[f705]) ).
cnf(s177,plain,
~ spl29_21,
inference(sat_conversion,[],[f9955]) ).
cnf(s178,plain,
$false,
inference(rat,[],[s11,s15,s177]) ).
fof(f9960,plain,
$false,
inference(avatar_sat_refutation,[],[s178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO573+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 % Computer : n001.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 08:39:00 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.43 Running first-order model finding
% 0.09/0.43 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
% 1.54/0.78 % (3247898)Will run a generic schedule for satisfiability detection.
% 1.54/0.78 % (3247906)dis+10_1_sil=32000:sp=arity:random_seed=379514583:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.54/0.78 % (3247904)% WARNING: option uhcvi not known.
% 1.54/0.78 % (3247903)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3911126770_2999 on theBenchmark for (2999ds/0Mi)
% 1.54/0.78 % (3247904)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1270370110:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.54/0.78 % (3247905)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3836051715:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.54/0.78 % (3247907)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2081479232:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.54/0.78 % (3247908)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=503450281:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.54/0.78 % (3247909)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1310914247:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.54/0.78 % TRYING [1]
% 1.54/0.78 % TRYING [2]
% 1.54/0.78 % (3247906)Instruction limit reached!
% 1.54/0.78 % (3247906)------------------------------
% 1.54/0.78 % (3247906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.78 % (3247906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.78 % (3247906)CaDiCaL version: 2.1.3
% 1.54/0.78 % (3247906)Termination reason: Instruction limit
% 1.54/0.78 % (3247906)Termination phase: Saturation
% 1.54/0.78 % (3247906)Time elapsed: 0.038 s
% 1.54/0.78 % (3247906)Peak memory usage: 13 MB
% 1.54/0.78 % (3247906)Instructions burned: 106 (million)
% 1.54/0.78 % TRYING [3]
% 1.54/0.78 % (3247917)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3893505246:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.54/0.78 % TRYING [1]
% 1.54/0.78 % TRYING [2]
% 1.54/0.78 % TRYING [3]
% 1.54/0.78 % (3247907)Instruction limit reached!
% 1.54/0.78 % (3247907)------------------------------
% 1.54/0.78 % (3247907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.78 % (3247907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.78 % (3247907)CaDiCaL version: 2.1.3
% 1.54/0.78 % (3247907)Termination reason: Instruction limit
% 1.54/0.78 % (3247907)Termination phase: Saturation
% 1.54/0.78 % (3247907)Time elapsed: 0.069 s
% 1.54/0.78 % (3247907)Peak memory usage: 13 MB
% 1.54/0.78 % (3247907)Instructions burned: 116 (million)
% 1.54/0.78 % (3247908)Instruction limit reached!
% 1.54/0.78 % (3247908)------------------------------
% 1.54/0.78 % (3247908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.78 % (3247908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.78 % (3247908)CaDiCaL version: 2.1.3
% 1.54/0.78 % (3247908)Termination reason: Instruction limit
% 1.54/0.78 % (3247908)Termination phase: Saturation
% 1.54/0.78 % (3247908)Time elapsed: 0.082 s
% 1.54/0.78 % (3247908)Peak memory usage: 14 MB
% 1.54/0.78 % (3247908)Instructions burned: 131 (million)
% 1.54/0.78 % (3247919)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3601673320:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.54/0.78 % (3247909)Instruction limit reached!
% 1.54/0.78 % (3247909)------------------------------
% 1.54/0.78 % (3247909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.78 % (3247909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.78 % (3247909)CaDiCaL version: 2.1.3
% 1.54/0.78 % (3247909)Termination reason: Instruction limit
% 1.54/0.78 % (3247909)Termination phase: Saturation
% 1.54/0.78 % (3247909)Time elapsed: 0.092 s
% 1.54/0.78 % (3247909)Peak memory usage: 15 MB
% 1.54/0.78 % (3247909)Instructions burned: 160 (million)
% 1.54/0.78 % (3247922)ott-21_1_sil=16000:fs=off:random_seed=3328662256:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.54/0.78 % (3247920)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=2843579011:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.54/0.78 % (3247919)Instruction limit reached!
% 1.54/0.78 % (3247919)------------------------------
% 1.54/0.78 % (3247919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.78 % (3247919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.78 % (3247919)CaDiCaL version: 2.1.3
% 1.54/0.78 % (3247919)Termination reason: Instruction limit
% 1.54/0.78 % (3247919)Termination phase: Saturation
% 1.54/0.78 % (3247919)Time elapsed: 0.082 s
% 1.54/0.78 % (3247919)Peak memory usage: 14 MB
% 1.54/0.78 % (3247919)Instructions burned: 132 (million)
% 1.54/0.78 % (3247917)Instruction limit reached!
% 1.54/0.78 % (3247917)------------------------------
% 1.54/0.78 % (3247917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.78 % (3247917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.78 % (3247917)CaDiCaL version: 2.1.3
% 1.54/0.78 % (3247917)Termination reason: Instruction limit
% 1.54/0.78 % (3247917)Termination phase: Finite model building constraint generation
% 1.54/0.78 % (3247917)Time elapsed: 0.134 s
% 1.54/0.78 % (3247917)Peak memory usage: 24 MB
% 1.54/0.78 % (3247917)Instructions burned: 718 (million)
% 1.54/0.78 % (3247926)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=544025260:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.54/0.78 % TRYING [1]
% 1.54/0.78 % (3247925)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=273622835:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.54/0.78 % TRYING [2]
% 1.54/0.78 % (3247922)Instruction limit reached!
% 1.54/0.78 % (3247922)------------------------------
% 1.54/0.78 % (3247922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.78 % (3247922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.78 % (3247922)CaDiCaL version: 2.1.3
% 1.54/0.78 % (3247922)Termination reason: Instruction limit
% 1.54/0.78 % (3247922)Termination phase: Saturation
% 1.54/0.78 % (3247922)Time elapsed: 0.099 s
% 1.54/0.78 % (3247922)Peak memory usage: 13 MB
% 1.54/0.78 % (3247922)Instructions burned: 181 (million)
% 1.54/0.78 % TRYING [3]
% 1.54/0.78 % (3247929)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2611430899:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.54/0.78 % (3247920) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3247898-3247920"...
% 1.54/0.78 % (3247920)...printing done.
% 1.54/0.78 % (3247920)Refutation found. Thanks to Tanya!
% 1.54/0.78 % SZS status Theorem for theBenchmark
% 1.54/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.78 % (3247920)------------------------------
% 1.54/0.78 % (3247920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.78 % (3247920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.78 % (3247920)CaDiCaL version: 2.1.3
% 1.54/0.78 % (3247920)Termination reason: Refutation
% 1.54/0.78 % (3247920)Time elapsed: 0.173 s
% 1.54/0.78 % (3247920)Peak memory usage: 16 MB
% 1.54/0.78 % (3247920)Instructions burned: 274 (million)
% 1.54/0.78 % (3247898)Success in time 0.345 s
% 1.54/0.78 % Vampire exiting
%------------------------------------------------------------------------------