%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO564+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:52:56 AM UTC 2026
% Result : Theorem 11.27s 2.54s
% Output : Refutation 12.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 24
% Syntax : Number of formulae : 145 ( 14 unt; 10 def)
% Number of atoms : 578 ( 0 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 659 ( 226 ~; 207 |; 203 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 56 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 9 prp; 0-8 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 569 ( 0 sgn 509 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD22) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& midp(X8,X0,X1)
& perp(X0,X1,X8,X4)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X4)
& midp(X10,X1,X2)
& perp(X1,X2,X10,X4)
& midp(X11,X0,X3)
& perp(X0,X3,X11,X5)
& midp(X12,X0,X1)
& perp(X0,X1,X12,X5)
& midp(X13,X3,X1)
& perp(X3,X1,X13,X5)
& midp(X14,X1,X3)
& perp(X1,X3,X14,X6)
& midp(X15,X1,X2)
& perp(X1,X2,X15,X6)
& midp(X16,X3,X2)
& perp(X3,X2,X16,X6)
& midp(X17,X2,X3)
& perp(X2,X3,X17,X7)
& midp(X18,X2,X0)
& perp(X2,X0,X18,X7)
& midp(X19,X3,X0)
& perp(X3,X0,X19,X7) )
=> ( eqangle(X1,X0,X0,X2,X7,X6,X6,X5)
& ( eqangle(X0,X1,X1,X2,X6,X7,X7,X5)
| eqangle(X1,X0,X0,X2,X7,X6,X6,X5) )
& ( eqangle(X0,X1,X1,X2,X6,X5,X5,X7)
| eqangle(X1,X0,X0,X2,X6,X7,X7,X5) )
& ( eqangle(X0,X1,X1,X2,X7,X6,X6,X5)
| eqangle(X1,X0,X0,X2,X6,X7,X7,X5) )
& ( eqangle(X0,X1,X1,X2,X6,X5,X5,X7)
| eqangle(X1,X0,X0,X2,X6,X5,X5,X7) )
& ( eqangle(X0,X1,X1,X2,X7,X6,X6,X5)
| eqangle(X1,X0,X0,X2,X6,X5,X5,X7) )
& eqangle(X0,X1,X1,X2,X6,X7,X7,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214026) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& midp(X8,X0,X1)
& perp(X0,X1,X8,X4)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X4)
& midp(X10,X1,X2)
& perp(X1,X2,X10,X4)
& midp(X11,X0,X3)
& perp(X0,X3,X11,X5)
& midp(X12,X0,X1)
& perp(X0,X1,X12,X5)
& midp(X13,X3,X1)
& perp(X3,X1,X13,X5)
& midp(X14,X1,X3)
& perp(X1,X3,X14,X6)
& midp(X15,X1,X2)
& perp(X1,X2,X15,X6)
& midp(X16,X3,X2)
& perp(X3,X2,X16,X6)
& midp(X17,X2,X3)
& perp(X2,X3,X17,X7)
& midp(X18,X2,X0)
& perp(X2,X0,X18,X7)
& midp(X19,X3,X0)
& perp(X3,X0,X19,X7) )
=> ( eqangle(X1,X0,X0,X2,X7,X6,X6,X5)
& ( eqangle(X0,X1,X1,X2,X6,X7,X7,X5)
| eqangle(X1,X0,X0,X2,X7,X6,X6,X5) )
& ( eqangle(X0,X1,X1,X2,X6,X5,X5,X7)
| eqangle(X1,X0,X0,X2,X6,X7,X7,X5) )
& ( eqangle(X0,X1,X1,X2,X7,X6,X6,X5)
| eqangle(X1,X0,X0,X2,X6,X7,X7,X5) )
& ( eqangle(X0,X1,X1,X2,X6,X5,X5,X7)
| eqangle(X1,X0,X0,X2,X6,X5,X5,X7) )
& ( eqangle(X0,X1,X1,X2,X7,X6,X6,X5)
| eqangle(X1,X0,X0,X2,X6,X5,X5,X7) )
& eqangle(X0,X1,X1,X2,X6,X7,X7,X5) ) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(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(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
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,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( ~ eqangle(X1,X0,X0,X2,X7,X6,X6,X5)
| ( ~ eqangle(X0,X1,X1,X2,X6,X7,X7,X5)
& ~ eqangle(X1,X0,X0,X2,X7,X6,X6,X5) )
| ( ~ eqangle(X0,X1,X1,X2,X6,X5,X5,X7)
& ~ eqangle(X1,X0,X0,X2,X6,X7,X7,X5) )
| ( ~ eqangle(X0,X1,X1,X2,X7,X6,X6,X5)
& ~ eqangle(X1,X0,X0,X2,X6,X7,X7,X5) )
| ( ~ eqangle(X0,X1,X1,X2,X6,X5,X5,X7)
& ~ eqangle(X1,X0,X0,X2,X6,X5,X5,X7) )
| ( ~ eqangle(X0,X1,X1,X2,X7,X6,X6,X5)
& ~ eqangle(X1,X0,X0,X2,X6,X5,X5,X7) )
| ~ eqangle(X0,X1,X1,X2,X6,X7,X7,X5) )
& perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& midp(X8,X0,X1)
& perp(X0,X1,X8,X4)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X4)
& midp(X10,X1,X2)
& perp(X1,X2,X10,X4)
& midp(X11,X0,X3)
& perp(X0,X3,X11,X5)
& midp(X12,X0,X1)
& perp(X0,X1,X12,X5)
& midp(X13,X3,X1)
& perp(X3,X1,X13,X5)
& midp(X14,X1,X3)
& perp(X1,X3,X14,X6)
& midp(X15,X1,X2)
& perp(X1,X2,X15,X6)
& midp(X16,X3,X2)
& perp(X3,X2,X16,X6)
& midp(X17,X2,X3)
& perp(X2,X3,X17,X7)
& midp(X18,X2,X0)
& perp(X2,X0,X18,X7)
& midp(X19,X3,X0)
& perp(X3,X0,X19,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( ~ eqangle(X1,X0,X0,X2,X7,X6,X6,X5)
| ( ~ eqangle(X0,X1,X1,X2,X6,X7,X7,X5)
& ~ eqangle(X1,X0,X0,X2,X7,X6,X6,X5) )
| ( ~ eqangle(X0,X1,X1,X2,X6,X5,X5,X7)
& ~ eqangle(X1,X0,X0,X2,X6,X7,X7,X5) )
| ( ~ eqangle(X0,X1,X1,X2,X7,X6,X6,X5)
& ~ eqangle(X1,X0,X0,X2,X6,X7,X7,X5) )
| ( ~ eqangle(X0,X1,X1,X2,X6,X5,X5,X7)
& ~ eqangle(X1,X0,X0,X2,X6,X5,X5,X7) )
| ( ~ eqangle(X0,X1,X1,X2,X7,X6,X6,X5)
& ~ eqangle(X1,X0,X0,X2,X6,X5,X5,X7) )
| ~ eqangle(X0,X1,X1,X2,X6,X7,X7,X5) )
& perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& midp(X8,X0,X1)
& perp(X0,X1,X8,X4)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X4)
& midp(X10,X1,X2)
& perp(X1,X2,X10,X4)
& midp(X11,X0,X3)
& perp(X0,X3,X11,X5)
& midp(X12,X0,X1)
& perp(X0,X1,X12,X5)
& midp(X13,X3,X1)
& perp(X3,X1,X13,X5)
& midp(X14,X1,X3)
& perp(X1,X3,X14,X6)
& midp(X15,X1,X2)
& perp(X1,X2,X15,X6)
& midp(X16,X3,X2)
& perp(X3,X2,X16,X6)
& midp(X17,X2,X3)
& perp(X2,X3,X17,X7)
& midp(X18,X2,X0)
& perp(X2,X0,X18,X7)
& midp(X19,X3,X0)
& perp(X3,X0,X19,X7) ),
inference(flattening,[],[f249]) ).
fof(f251,definition,
! [X5,X6,X7,X2,X1,X0] :
( ( ~ eqangle(X0,X1,X1,X2,X7,X6,X6,X5)
& ~ eqangle(X1,X0,X0,X2,X6,X5,X5,X7) )
| ~ sP0(X5,X6,X7,X2,X1,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f252,definition,
! [X7,X5,X6,X2,X1,X0] :
( ( ~ eqangle(X0,X1,X1,X2,X6,X5,X5,X7)
& ~ eqangle(X1,X0,X0,X2,X6,X5,X5,X7) )
| ~ sP1(X7,X5,X6,X2,X1,X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f253,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( ~ eqangle(X1,X0,X0,X2,X7,X6,X6,X5)
| ( ~ eqangle(X0,X1,X1,X2,X6,X7,X7,X5)
& ~ eqangle(X1,X0,X0,X2,X7,X6,X6,X5) )
| ( ~ eqangle(X0,X1,X1,X2,X6,X5,X5,X7)
& ~ eqangle(X1,X0,X0,X2,X6,X7,X7,X5) )
| ( ~ eqangle(X0,X1,X1,X2,X7,X6,X6,X5)
& ~ eqangle(X1,X0,X0,X2,X6,X7,X7,X5) )
| sP1(X7,X5,X6,X2,X1,X0)
| sP0(X5,X6,X7,X2,X1,X0)
| ~ eqangle(X0,X1,X1,X2,X6,X7,X7,X5) )
& perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& midp(X8,X0,X1)
& perp(X0,X1,X8,X4)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X4)
& midp(X10,X1,X2)
& perp(X1,X2,X10,X4)
& midp(X11,X0,X3)
& perp(X0,X3,X11,X5)
& midp(X12,X0,X1)
& perp(X0,X1,X12,X5)
& midp(X13,X3,X1)
& perp(X3,X1,X13,X5)
& midp(X14,X1,X3)
& perp(X1,X3,X14,X6)
& midp(X15,X1,X2)
& perp(X1,X2,X15,X6)
& midp(X16,X3,X2)
& perp(X3,X2,X16,X6)
& midp(X17,X2,X3)
& perp(X2,X3,X17,X7)
& midp(X18,X2,X0)
& perp(X2,X0,X18,X7)
& midp(X19,X3,X0)
& perp(X3,X0,X19,X7) ),
inference(definition_folding,[],[f250,f252,f251]) ).
fof(f273,plain,
! [X7,X5,X6,X2,X1,X0] :
( ( ~ eqangle(X0,X1,X1,X2,X6,X5,X5,X7)
& ~ eqangle(X1,X0,X0,X2,X6,X5,X5,X7) )
| ~ sP1(X7,X5,X6,X2,X1,X0) ),
inference(nnf_transformation,[],[f252]) ).
fof(f274,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ eqangle(X5,X4,X4,X3,X2,X1,X1,X0)
& ~ eqangle(X4,X5,X5,X3,X2,X1,X1,X0) )
| ~ sP1(X0,X1,X2,X3,X4,X5) ),
inference(rectify,[],[f273]) ).
fof(f275,plain,
! [X5,X6,X7,X2,X1,X0] :
( ( ~ eqangle(X0,X1,X1,X2,X7,X6,X6,X5)
& ~ eqangle(X1,X0,X0,X2,X6,X5,X5,X7) )
| ~ sP0(X5,X6,X7,X2,X1,X0) ),
inference(nnf_transformation,[],[f251]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ eqangle(X5,X4,X4,X3,X2,X1,X1,X0)
& ~ eqangle(X4,X5,X5,X3,X1,X0,X0,X2) )
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(rectify,[],[f275]) ).
fof(f277,plain,
( ( ~ eqangle(sK23,sK22,sK22,sK24,sK29,sK28,sK28,sK27)
| ( ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK29,sK29,sK27)
& ~ eqangle(sK23,sK22,sK22,sK24,sK29,sK28,sK28,sK27) )
| ( ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29)
& ~ eqangle(sK23,sK22,sK22,sK24,sK28,sK29,sK29,sK27) )
| ( ~ eqangle(sK22,sK23,sK23,sK24,sK29,sK28,sK28,sK27)
& ~ eqangle(sK23,sK22,sK22,sK24,sK28,sK29,sK29,sK27) )
| sP1(sK29,sK27,sK28,sK24,sK23,sK22)
| sP0(sK27,sK28,sK29,sK24,sK23,sK22)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK29,sK29,sK27) )
& perp(sK22,sK23,sK24,sK25)
& perp(sK22,sK24,sK23,sK25)
& perp(sK23,sK24,sK22,sK25)
& midp(sK30,sK22,sK23)
& perp(sK22,sK23,sK30,sK26)
& midp(sK31,sK22,sK24)
& perp(sK22,sK24,sK31,sK26)
& midp(sK32,sK23,sK24)
& perp(sK23,sK24,sK32,sK26)
& midp(sK33,sK22,sK25)
& perp(sK22,sK25,sK33,sK27)
& midp(sK34,sK22,sK23)
& perp(sK22,sK23,sK34,sK27)
& midp(sK35,sK25,sK23)
& perp(sK25,sK23,sK35,sK27)
& midp(sK36,sK23,sK25)
& perp(sK23,sK25,sK36,sK28)
& midp(sK37,sK23,sK24)
& perp(sK23,sK24,sK37,sK28)
& midp(sK38,sK25,sK24)
& perp(sK25,sK24,sK38,sK28)
& midp(sK39,sK24,sK25)
& perp(sK24,sK25,sK39,sK29)
& midp(sK40,sK24,sK22)
& perp(sK24,sK22,sK40,sK29)
& midp(sK41,sK25,sK22)
& perp(sK25,sK22,sK41,sK29) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X2,sK24),skolemize(X3,sK25),skolemize(X4,sK26),skolemize(X5,sK27),skolemize(X6,sK28),skolemize(X7,sK29),skolemize(X8,sK30),skolemize(X9,sK31),skolemize(X10,sK32),skolemize(X11,sK33),skolemize(X12,sK34),skolemize(X13,sK35),skolemize(X14,sK36),skolemize(X15,sK37),skolemize(X16,sK38),skolemize(X17,sK39),skolemize(X18,sK40),skolemize(X19,sK41)],[f253]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f286,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(f294,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(f296,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(f298,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(f299,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f316,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(f317,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(f318,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f319,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(f320,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(f321,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(f334,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(f392,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X5,X4,X4,X3,X2,X1,X1,X0)
| ~ sP1(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f274]) ).
fof(f393,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X4,X5,X5,X3,X1,X0,X0,X2)
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f276]) ).
fof(f409,plain,
perp(sK22,sK23,sK34,sK27),
inference(cnf_transformation,[],[f277]) ).
fof(f428,plain,
( ~ eqangle(sK23,sK22,sK22,sK24,sK29,sK28,sK28,sK27)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK29,sK29,sK27)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29)
| ~ eqangle(sK23,sK22,sK22,sK24,sK28,sK29,sK29,sK27)
| sP1(sK29,sK27,sK28,sK24,sK23,sK22)
| sP0(sK27,sK28,sK29,sK24,sK23,sK22)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK29,sK29,sK27) ),
inference(cnf_transformation,[],[f277]) ).
fof(f436,plain,
( ~ eqangle(sK23,sK22,sK22,sK24,sK29,sK28,sK28,sK27)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK29,sK29,sK27)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29)
| ~ eqangle(sK23,sK22,sK22,sK24,sK28,sK29,sK29,sK27)
| sP1(sK29,sK27,sK28,sK24,sK23,sK22)
| sP0(sK27,sK28,sK29,sK24,sK23,sK22) ),
inference(duplicate_literal_removal,[],[f428]) ).
fof(f439,definition,
( spl42_1
<=> eqangle(sK22,sK23,sK23,sK24,sK28,sK29,sK29,sK27) ),
introduced(definition,[new_symbols(definition,[spl42_1])],[avatar_definition]) ).
fof(f441,plain,
( ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK29,sK29,sK27)
| spl42_1 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f443,definition,
( spl42_2
<=> sP0(sK27,sK28,sK29,sK24,sK23,sK22) ),
introduced(definition,[new_symbols(definition,[spl42_2])],[avatar_definition]) ).
fof(f445,plain,
( sP0(sK27,sK28,sK29,sK24,sK23,sK22)
| ~ spl42_2 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f447,definition,
( spl42_3
<=> sP1(sK29,sK27,sK28,sK24,sK23,sK22) ),
introduced(definition,[new_symbols(definition,[spl42_3])],[avatar_definition]) ).
fof(f449,plain,
( sP1(sK29,sK27,sK28,sK24,sK23,sK22)
| ~ spl42_3 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f451,definition,
( spl42_4
<=> eqangle(sK23,sK22,sK22,sK24,sK28,sK29,sK29,sK27) ),
introduced(definition,[new_symbols(definition,[spl42_4])],[avatar_definition]) ).
fof(f453,plain,
( ~ eqangle(sK23,sK22,sK22,sK24,sK28,sK29,sK29,sK27)
| spl42_4 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f455,definition,
( spl42_5
<=> eqangle(sK23,sK22,sK22,sK24,sK29,sK28,sK28,sK27) ),
introduced(definition,[new_symbols(definition,[spl42_5])],[avatar_definition]) ).
fof(f457,plain,
( ~ eqangle(sK23,sK22,sK22,sK24,sK29,sK28,sK28,sK27)
| spl42_5 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f465,definition,
( spl42_7
<=> eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29) ),
introduced(definition,[new_symbols(definition,[spl42_7])],[avatar_definition]) ).
fof(f467,plain,
( ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29)
| spl42_7 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f472,plain,
( spl42_2
| spl42_3
| ~ spl42_4
| ~ spl42_7
| ~ spl42_1
| ~ spl42_5 ),
inference(avatar_split_clause,[],[f436,f455,f439,f465,f451,f447,f443]) ).
fof(f475,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f321,f318]) ).
fof(f476,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f475]) ).
fof(f477,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X6,X7)
| ~ para(X4,X5,X8,X9) ),
inference(resolution,[],[f299,f317]) ).
fof(f479,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X6,X7,X4,X5)
| eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X0,X1,X6,X7) ),
inference(resolution,[],[f477,f317]) ).
fof(f488,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f296,f317]) ).
fof(f507,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f298,f317]) ).
fof(f522,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f316,f488]) ).
fof(f525,definition,
( spl42_8
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl42_8])],[avatar_definition]) ).
fof(f526,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl42_8 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f528,definition,
( spl42_9
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl42_9])],[avatar_definition]) ).
fof(f529,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl42_9 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f530,plain,
( spl42_8
| spl42_9 ),
inference(avatar_split_clause,[],[f522,f528,f525]) ).
fof(f558,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f319,f507]) ).
fof(f561,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK23)
| para(X0,X1,sK34,sK27) ),
inference(resolution,[],[f286,f409]) ).
fof(f582,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0)
| ~ para(X1,X0,X1,X0) ),
inference(resolution,[],[f320,f507]) ).
fof(f638,plain,
perp(sK34,sK27,sK22,sK23),
inference(resolution,[],[f285,f409]) ).
fof(f663,plain,
para(sK34,sK27,sK34,sK27),
inference(resolution,[],[f638,f561]) ).
fof(f667,plain,
( $false
| ~ spl42_8 ),
inference(forward_subsumption_resolution,[],[f663,f526]) ).
fof(f668,plain,
~ spl42_8,
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f670,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| coll(X1,X2,X0) )
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f558,f529]) ).
fof(f674,plain,
( ! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) )
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f582,f529]) ).
fof(f677,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f674,f670]) ).
fof(f685,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl42_9 ),
inference(resolution,[],[f677,f294]) ).
fof(f689,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f685,f677]) ).
fof(f697,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl42_9 ),
inference(resolution,[],[f689,f476]) ).
fof(f698,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f697,f689]) ).
fof(f700,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f698,f689]) ).
fof(f702,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl42_9 ),
inference(resolution,[],[f700,f334]) ).
fof(f703,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f702,f700]) ).
fof(f704,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl42_9 ),
inference(resolution,[],[f703,f285]) ).
fof(f706,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl42_9 ),
inference(resolution,[],[f703,f286]) ).
fof(f726,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl42_9 ),
inference(resolution,[],[f706,f704]) ).
fof(f727,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X0,X1,X6,X7) )
| ~ spl42_9 ),
inference(resolution,[],[f726,f479]) ).
fof(f728,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f727,f726]) ).
fof(f732,plain,
( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ spl42_9 ),
inference(resolution,[],[f728,f298]) ).
fof(f774,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X6,X7,X4,X5) )
| ~ spl42_9 ),
inference(resolution,[],[f732,f477]) ).
fof(f782,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f774,f726]) ).
fof(f796,plain,
( ! [X2,X3,X0,X1,X4,X5] : ~ sP1(X0,X1,X2,X3,X4,X5)
| ~ spl42_9 ),
inference(resolution,[],[f782,f392]) ).
fof(f798,plain,
( ! [X2,X3,X0,X1,X4,X5] : ~ sP0(X0,X1,X2,X3,X4,X5)
| ~ spl42_9 ),
inference(resolution,[],[f782,f393]) ).
fof(f799,plain,
( $false
| spl42_1
| ~ spl42_9 ),
inference(resolution,[],[f782,f441]) ).
fof(f800,plain,
( spl42_1
| ~ spl42_9 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f804,plain,
( $false
| spl42_5
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f457,f782]) ).
fof(f805,plain,
( spl42_5
| ~ spl42_9 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f806,plain,
( $false
| spl42_4
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f453,f782]) ).
fof(f807,plain,
( spl42_4
| ~ spl42_9 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f808,plain,
( $false
| spl42_7
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f467,f782]) ).
fof(f809,plain,
( spl42_7
| ~ spl42_9 ),
inference(avatar_contradiction_clause,[],[f808]) ).
fof(f810,plain,
( $false
| ~ spl42_2
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f445,f798]) ).
fof(f811,plain,
( ~ spl42_2
| ~ spl42_9 ),
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f812,plain,
( $false
| ~ spl42_3
| ~ spl42_9 ),
inference(forward_subsumption_resolution,[],[f449,f796]) ).
fof(f813,plain,
( ~ spl42_3
| ~ spl42_9 ),
inference(avatar_contradiction_clause,[],[f812]) ).
cnf(s7,plain,
( ~ spl42_1
| spl42_2
| spl42_3
| ~ spl42_4
| ~ spl42_5
| ~ spl42_7 ),
inference(sat_conversion,[],[f472]) ).
cnf(s9,plain,
( spl42_8
| spl42_9 ),
inference(sat_conversion,[],[f530]) ).
cnf(s10,plain,
~ spl42_8,
inference(sat_conversion,[],[f668]) ).
cnf(s11,plain,
( spl42_1
| ~ spl42_9 ),
inference(sat_conversion,[],[f800]) ).
cnf(s12,plain,
( spl42_5
| ~ spl42_9 ),
inference(sat_conversion,[],[f805]) ).
cnf(s13,plain,
( spl42_4
| ~ spl42_9 ),
inference(sat_conversion,[],[f807]) ).
cnf(s14,plain,
( spl42_7
| ~ spl42_9 ),
inference(sat_conversion,[],[f809]) ).
cnf(s15,plain,
( ~ spl42_2
| ~ spl42_9 ),
inference(sat_conversion,[],[f811]) ).
cnf(s16,plain,
( ~ spl42_3
| ~ spl42_9 ),
inference(sat_conversion,[],[f813]) ).
cnf(s17,plain,
spl42_9,
inference(rat,[],[s9,s10]) ).
cnf(s18,plain,
~ spl42_3,
inference(rat,[],[s16,s17]) ).
cnf(s19,plain,
~ spl42_2,
inference(rat,[],[s15,s17]) ).
cnf(s20,plain,
spl42_7,
inference(rat,[],[s14,s17]) ).
cnf(s21,plain,
spl42_4,
inference(rat,[],[s13,s17]) ).
cnf(s22,plain,
spl42_5,
inference(rat,[],[s12,s17]) ).
cnf(s23,plain,
spl42_1,
inference(rat,[],[s11,s17]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s7,s20,s22,s21,s18,s19,s23]) ).
fof(f814,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO564+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:32:09 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.27/2.54 % (926440)Detected formulas, will run a generic FOF schedule.
% 11.27/2.54 % (926459)dis-21_1_sil=8000:lcm=predicate:random_seed=1910881066: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)
% 11.27/2.54 % (926459)Instruction limit reached!
% 11.27/2.54 % (926459)------------------------------
% 11.27/2.54 % (926459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.54 % (926459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.54 % (926459)CaDiCaL version: 2.1.3
% 11.27/2.54 % (926459)Termination reason: Instruction limit
% 11.27/2.54 % (926459)Termination phase: Saturation
% 11.27/2.54 % (926459)Time elapsed: 0.042 s
% 11.27/2.54 % (926459)Peak memory usage: 89 MB
% 11.27/2.54 % (926459)Instructions burned: 131 (million)
% 11.27/2.54 % (926458)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=660209050:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.27/2.54 % (926457)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3283596837:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.27/2.54 % (926456)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2254684364:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.27/2.54 % (926453)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=1230719544:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.27/2.54 % (926455)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=2416003838:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.27/2.54 % (926456)Refutation not found, incomplete strategy
% 11.27/2.54 % (926456)------------------------------
% 11.27/2.54 % (926456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.54 % (926456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.54 % (926456)CaDiCaL version: 2.1.3
% 11.27/2.54 % (926456)Termination reason: Refutation not found, incomplete strategy
% 11.27/2.54 % (926456)Time elapsed: 0.028 s
% 11.27/2.54 % (926456)Peak memory usage: 89 MB
% 11.27/2.54 % (926456)Instructions burned: 28 (million)
% 11.27/2.54 % (926454)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=1606914224:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.27/2.54 % (926457)Instruction limit reached!
% 11.27/2.54 % (926457)------------------------------
% 11.27/2.54 % (926457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.54 % (926457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.54 % (926457)CaDiCaL version: 2.1.3
% 11.27/2.54 % (926457)Termination reason: Instruction limit
% 11.27/2.54 % (926457)Termination phase: Saturation
% 11.27/2.54 % (926457)Time elapsed: 0.113 s
% 11.27/2.54 % (926457)Peak memory usage: 89 MB
% 11.27/2.54 % (926457)Instructions burned: 119 (million)
% 11.27/2.54 % (926458)Instruction limit reached!
% 11.27/2.54 % (926458)------------------------------
% 11.27/2.54 % (926458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.54 % (926458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.54 % (926458)CaDiCaL version: 2.1.3
% 11.27/2.54 % (926458)Termination reason: Instruction limit
% 11.27/2.54 % (926458)Termination phase: Saturation
% 11.27/2.54 % (926458)Time elapsed: 0.119 s
% 11.27/2.54 % (926458)Peak memory usage: 90 MB
% 11.27/2.54 % (926458)Instructions burned: 139 (million)
% 11.27/2.54 % (926469)lrs+10_1_sil=8000:sp=occurrence:random_seed=1103190178:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.27/2.54 % (926469)Instruction limit reached!
% 11.27/2.54 % (926469)------------------------------
% 11.27/2.54 % (926469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.54 % (926469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.54 % (926469)CaDiCaL version: 2.1.3
% 11.27/2.54 % (926469)Termination reason: Instruction limit
% 11.27/2.54 % (926469)Termination phase: Saturation
% 11.27/2.54 % (926469)Time elapsed: 0.142 s
% 11.27/2.54 % (926469)Peak memory usage: 93 MB
% 11.27/2.54 % (926469)Instructions burned: 287 (million)
% 11.27/2.54 % (926480)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2068810169:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.27/2.54 % (926481)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3646228689:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.27/2.54 % (926456)------------------------------
% 11.27/2.54 % (926456)------------------------------
% 11.27/2.54 % (926480)Instruction limit reached!
% 11.27/2.54 % (926480)------------------------------
% 11.27/2.54 % (926480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.54 % (926480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.54 % (926480)CaDiCaL version: 2.1.3
% 11.27/2.54 % (926480)Termination reason: Instruction limit
% 11.27/2.54 % (926480)Termination phase: Saturation
% 11.27/2.54 % (926480)Time elapsed: 0.125 s
% 11.27/2.54 % (926480)Peak memory usage: 92 MB
% 11.27/2.54 % (926480)Instructions burned: 158 (million)
% 11.27/2.54 % (926487)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=4270528481:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 11.27/2.54 % (926481)Instruction limit reached!
% 11.27/2.54 % (926481)------------------------------
% 11.27/2.54 % (926481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.54 % (926481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.54 % (926481)CaDiCaL version: 2.1.3
% 11.27/2.54 % (926481)Termination reason: Instruction limit
% 11.27/2.54 % (926481)Termination phase: Saturation
% 11.27/2.54 % (926481)Time elapsed: 0.275 s
% 11.27/2.54 % (926481)Peak memory usage: 92 MB
% 11.27/2.54 % (926481)Instructions burned: 326 (million)
% 11.27/2.54 % (926487)Instruction limit reached!
% 11.27/2.54 % (926487)------------------------------
% 11.27/2.54 % (926487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.54 % (926487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.54 % (926487)CaDiCaL version: 2.1.3
% 11.27/2.54 % (926487)Termination reason: Instruction limit
% 11.27/2.54 % (926487)Termination phase: Saturation
% 11.27/2.54 % (926487)Time elapsed: 0.143 s
% 11.27/2.54 % (926487)Peak memory usage: 93 MB
% 11.27/2.54 % (926487)Instructions burned: 250 (million)
% 11.27/2.54 % (926493)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3790803809:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.27/2.54 % (926496)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4163120136:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 11.27/2.54 % (926503)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2393269104:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 11.27/2.54 % (926505)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3873432008:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 11.27/2.54 % (926505)Instruction limit reached!
% 11.27/2.54 % (926505)------------------------------
% 11.27/2.54 % (926505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.54 % (926505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.54 % (926505)CaDiCaL version: 2.1.3
% 11.27/2.54 % (926505)Termination reason: Instruction limit
% 11.27/2.54 % (926505)Termination phase: Saturation
% 11.27/2.54 % (926505)Time elapsed: 0.063 s
% 11.27/2.54 % (926505)Peak memory usage: 89 MB
% 11.27/2.54 % (926505)Instructions burned: 128 (million)
% 11.27/2.54 % (926493)Instruction limit reached!
% 11.27/2.54 % (926493)------------------------------
% 11.27/2.54 % (926493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.54 % (926493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.54 % (926493)CaDiCaL version: 2.1.3
% 11.27/2.54 % (926493)Termination reason: Instruction limit
% 11.27/2.54 % (926493)Termination phase: Saturation
% 11.27/2.54 % (926493)Time elapsed: 0.284 s
% 11.27/2.54 % (926493)Peak memory usage: 90 MB
% 11.27/2.54 % (926493)Instructions burned: 294 (million)
% 11.27/2.54 % (926503)Instruction limit reached!
% 11.27/2.54 % (926503)------------------------------
% 11.27/2.54 % (926503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.54 % (926503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.54 % (926503)CaDiCaL version: 2.1.3
% 11.27/2.54 % (926503)Termination reason: Instruction limit
% 11.27/2.54 % (926503)Termination phase: Saturation
% 11.27/2.54 % (926503)Time elapsed: 0.113 s
% 11.27/2.54 % (926503)Peak memory usage: 90 MB
% 11.27/2.54 % (926503)Instructions burned: 113 (million)
% 11.27/2.54 % (926453)First to succeed.
% 11.27/2.54 % (926453)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-926440"
% 11.27/2.54 % (926514)lrs+10_1_sil=8000:sp=occurrence:random_seed=204410599:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 11.27/2.54 % (926513)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=258723087:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 11.27/2.54 % (926516)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2456917104:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 11.27/2.54 % (926513)Instruction limit reached!
% 11.27/2.54 % (926513)------------------------------
% 11.27/2.54 % (926513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.27/2.54 % (926513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.27/2.54 % (926513)CaDiCaL version: 2.1.3
% 11.27/2.54 % (926513)Termination reason: Instruction limit
% 11.27/2.54 % (926513)Termination phase: Saturation
% 11.27/2.54 % (926513)Time elapsed: 0.061 s
% 11.27/2.54 % (926513)Peak memory usage: 90 MB
% 11.27/2.54 % (926513)Instructions burned: 115 (million)
% 11.27/2.54 % (926453)Refutation found. Thanks to Tanya!
% 11.27/2.54 % SZS status Theorem for theBenchmark
% 11.27/2.54 % SZS output start Proof for theBenchmark
% See solution above
% 12.35/2.64 % (926453)------------------------------
% 12.35/2.64 % (926453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.35/2.64 % (926453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.64 % (926453)CaDiCaL version: 2.1.3
% 12.35/2.64 % (926453)Termination reason: Refutation
% 12.35/2.64 % (926453)Time elapsed: 1.084 s
% 12.35/2.64 % (926453)Peak memory usage: 131 MB
% 12.35/2.64 % (926453)Instructions burned: 1044 (million)
% 12.35/2.64 % (926453)------------------------------
% 12.35/2.64 % (926453)------------------------------
% 12.35/2.64 % (926440)Success in time 1.68 s
% 12.35/2.64 % Vampire exiting
%------------------------------------------------------------------------------