%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n016.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 09:54:44 AM UTC 2026
% Result : Theorem 31.49s 4.96s
% Output : Refutation 31.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 38
% Syntax : Number of formulae : 242 ( 39 unt; 2 def)
% Number of atoms : 838 ( 0 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 954 ( 358 ~; 337 |; 222 &)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 56 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-8 aty)
% Number of functors : 21 ( 21 usr; 20 con; 0-6 aty)
% Number of variables : 1032 ( 969 !; 63 ?)
% 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(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& para(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X1)
& cong(X3,X0,X3,X2) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
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(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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(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/Axioms/GEO012+0.ax',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
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(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/Axioms/GEO012+0.ax',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/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(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(f51,axiom,
! [X0,X1,X2,X3,X4] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& para(X0,X2,X1,X3)
& para(X0,X3,X1,X2) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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(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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
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(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(f102,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(flattening,[],[f104]) ).
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(f112,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1)
| ~ cong(X3,X0,X3,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1)
| ~ cong(X3,X0,X3,X2) ),
inference(flattening,[],[f113]) ).
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(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f20]) ).
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(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
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(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(f161,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ circle(X3,X0,X1,X2)
| ~ midp(X4,X1,X2) ),
inference(ennf_transformation,[],[f51]) ).
fof(f169,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ circle(X3,X0,X1,X2)
| ~ midp(X4,X1,X2) ),
inference(flattening,[],[f168]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(flattening,[],[f193]) ).
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(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(f201,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
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(f224,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f82]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f224]) ).
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(f259,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(sK7(X0,X1,X2,X3,X4,X5),X0,X3)
& para(sK7(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& para(sK7(X0,X1,X2,X3,X4,X5),X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X6,sK7(X0,X1,X2,X3,X4,X5))],[f225]) ).
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(f278,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
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(f288,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f295,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(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(f297,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
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(f300,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
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(f323,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2)
| ~ coll(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f324,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f328,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ circle(X3,X0,X1,X2)
| ~ midp(X4,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f342,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f343,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3) ),
inference(cnf_transformation,[],[f196]) ).
fof(f344,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f345,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f346,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f353,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f213]) ).
fof(f364,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK7(X0,X1,X2,X3,X4,X5),X5,X0,X2)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f259]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK7(X0,X1,X2,X3,X4,X5),X4,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f259]) ).
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(f394,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X5,X4,X4,X3,X2,X1,X1,X0)
| ~ sP0(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f276]) ).
fof(f395,plain,
perp(sK25,sK22,sK41,sK29),
inference(cnf_transformation,[],[f277]) ).
fof(f399,plain,
perp(sK24,sK25,sK39,sK29),
inference(cnf_transformation,[],[f277]) ).
fof(f425,plain,
( ~ eqangle(sK23,sK22,sK22,sK24,sK29,sK28,sK28,sK27)
| ~ eqangle(sK23,sK22,sK22,sK24,sK29,sK28,sK28,sK27)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29)
| ~ eqangle(sK22,sK23,sK23,sK24,sK29,sK28,sK28,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(f433,plain,
( ~ eqangle(sK23,sK22,sK22,sK24,sK29,sK28,sK28,sK27)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29)
| ~ eqangle(sK22,sK23,sK23,sK24,sK29,sK28,sK28,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(duplicate_literal_removal,[],[f425]) ).
fof(f486,plain,
perp(sK25,sK22,sK29,sK41),
inference(resolution,[],[f284,f395]) ).
fof(f503,plain,
perp(sK41,sK29,sK25,sK22),
inference(resolution,[],[f285,f395]) ).
fof(f505,plain,
perp(sK39,sK29,sK24,sK25),
inference(resolution,[],[f285,f399]) ).
fof(f517,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X2,X1) ),
inference(resolution,[],[f301,f346]) ).
fof(f665,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK25,sK22)
| para(X0,X1,sK41,sK29) ),
inference(resolution,[],[f286,f395]) ).
fof(f667,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK24,sK25)
| para(X0,X1,sK39,sK29) ),
inference(resolution,[],[f286,f399]) ).
fof(f690,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| circle(X0,X1,X2,X3)
| ~ midp(X0,X1,X3) ),
inference(resolution,[],[f289,f346]) ).
fof(f756,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X1,X0,X4,X5) ),
inference(resolution,[],[f295,f317]) ).
fof(f763,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(f772,plain,
! [X2,X0,X1] :
( eqangle(X0,X1,X2,X1,X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f297,f324]) ).
fof(f777,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(f830,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X2,X1,X1,X3,X0,X2,X0,X4)
| ~ midp(X4,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f328,f295]) ).
fof(f951,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X6,X7,sK7(X1,X2,X4,X5,X0,X3),X3)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2)
| para(X6,X7,X1,X4) ),
inference(resolution,[],[f364,f283]) ).
fof(f953,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK7(X1,X2,X4,X5,X0,X3),X3,X4,X1)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f364,f281]) ).
fof(f957,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ para(sK7(X1,X2,X4,X5,X0,X3),X5,X2,X0)
| ~ midp(X3,X4,X5)
| ~ midp(X6,sK7(X1,X2,X4,X5,X0,X3),X2)
| ~ midp(X0,X1,X2)
| midp(X6,X5,X0) ),
inference(resolution,[],[f365,f342]) ).
fof(f960,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X2,X5,sK7(X1,X2,X4,X5,X0,X3),X0)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f365,f282]) ).
fof(f1041,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X1,X1,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3)
| cong(X4,X0,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f343,f353]) ).
fof(f1117,plain,
perp(sK29,sK41,sK25,sK22),
inference(resolution,[],[f486,f285]) ).
fof(f1146,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(f1222,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(f1228,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,[],[f1222]) ).
fof(f1961,plain,
para(sK29,sK41,sK41,sK29),
inference(resolution,[],[f665,f1117]) ).
fof(f1963,plain,
para(sK41,sK29,sK41,sK29),
inference(resolution,[],[f665,f503]) ).
fof(f1984,plain,
para(sK39,sK29,sK39,sK29),
inference(resolution,[],[f667,f505]) ).
fof(f2359,plain,
! [X2,X3,X0,X1] :
( circle(X0,X1,X2,X3)
| ~ midp(X0,X1,X3)
| ~ midp(X0,X2,X1) ),
inference(resolution,[],[f690,f517]) ).
fof(f2438,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X1,X0,X8,X9)
| ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X6,X7,X2,X3,X8,X9) ),
inference(resolution,[],[f756,f299]) ).
fof(f2533,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f763,f316]) ).
fof(f2537,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X4,X5,X4,X5,X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f763,f298]) ).
fof(f2694,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X1,X0,X0) ),
inference(resolution,[],[f772,f316]) ).
fof(f2749,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f777,f320]) ).
fof(f2750,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f777,f319]) ).
fof(f2755,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f2749,f2750]) ).
fof(f3880,plain,
para(sK29,sK41,sK29,sK41),
inference(resolution,[],[f1961,f281]) ).
fof(f4661,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ coll(X0,X0,X3)
| cong(X0,X1,X1,X2)
| ~ para(X1,X0,X2,X3)
| ~ midp(X0,X0,X3) ),
inference(resolution,[],[f1041,f346]) ).
fof(f4667,plain,
! [X2,X3,X0,X1] :
( ~ para(X1,X0,X2,X3)
| cong(X0,X1,X1,X2)
| ~ coll(X0,X1,X2)
| ~ midp(X0,X0,X3) ),
inference(forward_subsumption_resolution,[],[f4661,f347]) ).
fof(f4800,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( eqangle(X0,X1,X1,X2,X3,X4,X5,X6)
| ~ para(X5,X0,X3,X4)
| ~ midp(X6,X0,X2)
| ~ circle(X5,X1,X0,X2) ),
inference(resolution,[],[f1146,f830]) ).
fof(f4887,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X4,X2,X3,X1)
| ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4) ),
inference(resolution,[],[f951,f960]) ).
fof(f4918,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f4887]) ).
fof(f6105,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X0)
| ~ midp(X2,sK7(X3,X1,X1,X0,X3,X0),X1)
| ~ midp(X3,X3,X1)
| midp(X2,X0,X3)
| ~ midp(X0,X1,X0)
| ~ midp(X3,X3,X1) ),
inference(resolution,[],[f957,f953]) ).
fof(f6136,plain,
! [X2,X3,X0,X1] :
( ~ midp(X2,sK7(X3,X1,X1,X0,X3,X0),X1)
| ~ midp(X0,X1,X0)
| ~ midp(X3,X3,X1)
| midp(X2,X0,X3) ),
inference(duplicate_literal_removal,[],[f6105]) ).
fof(f7462,plain,
coll(sK29,sK41,sK41),
inference(resolution,[],[f3880,f344]) ).
fof(f23755,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f2533,f1963]) ).
fof(f23866,plain,
! [X0] : cyclic(sK29,sK29,sK39,X0),
inference(resolution,[],[f2755,f1984]) ).
fof(f26039,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X2,X0)
| ~ coll(X2,X0,X1) ),
inference(resolution,[],[f2537,f320]) ).
fof(f26040,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X2,X0)
| coll(X2,X0,X1) ),
inference(resolution,[],[f2537,f319]) ).
fof(f26048,plain,
! [X2,X0,X1] :
( cyclic(X1,X1,X2,X0)
| coll(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f26040,f23755]) ).
fof(f26049,plain,
! [X2,X0,X1] :
( cyclic(X1,X1,X2,X0)
| ~ coll(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f26039,f23755]) ).
fof(f26051,plain,
! [X2,X0,X1] : cyclic(X1,X1,X2,X0),
inference(forward_subsumption_resolution,[],[f26049,f26048]) ).
fof(f32492,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f23755,f344]) ).
fof(f32708,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f32492,f279]) ).
fof(f32836,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f32708,f278]) ).
fof(f32883,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f32836,f280]) ).
fof(f32886,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f32883,f32836]) ).
fof(f34731,plain,
( ~ cyclic(sK29,sK29,sK39,sK29)
| ~ cyclic(sK29,sK29,sK39,sK29)
| cong(sK29,sK29,sK29,sK29) ),
inference(resolution,[],[f23866,f1228]) ).
fof(f34742,plain,
( ~ cyclic(sK29,sK29,sK39,sK29)
| cong(sK29,sK29,sK29,sK29) ),
inference(duplicate_literal_removal,[],[f34731]) ).
fof(f34743,plain,
cong(sK29,sK29,sK29,sK29),
inference(forward_subsumption_resolution,[],[f34742,f26051]) ).
fof(f34969,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f26051,f1228]) ).
fof(f34987,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f34969]) ).
fof(f34989,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f34987,f26051]) ).
fof(f39223,plain,
( midp(sK29,sK29,sK29)
| ~ coll(sK29,sK29,sK29) ),
inference(resolution,[],[f34743,f345]) ).
fof(f39268,plain,
midp(sK29,sK29,sK29),
inference(forward_subsumption_resolution,[],[f39223,f32886]) ).
fof(f39565,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f34989,f345]) ).
fof(f39610,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f39565,f32886]) ).
fof(f40504,plain,
! [X0,X1] :
( cong(X0,X1,X1,X1)
| ~ coll(X0,X1,X1)
| ~ midp(X0,X0,X0) ),
inference(resolution,[],[f4667,f23755]) ).
fof(f40948,plain,
( cong(sK29,sK41,sK41,sK41)
| ~ coll(sK29,sK41,sK41)
| ~ midp(sK29,sK29,sK29) ),
inference(resolution,[],[f4667,f1963]) ).
fof(f40951,plain,
( cong(sK29,sK41,sK41,sK41)
| ~ midp(sK29,sK29,sK29) ),
inference(forward_subsumption_resolution,[],[f40948,f7462]) ).
fof(f41394,plain,
! [X0,X1] :
( cong(X0,X1,X1,X1)
| ~ midp(X0,X0,X0) ),
inference(forward_subsumption_resolution,[],[f40504,f32886]) ).
fof(f41395,plain,
cong(sK29,sK41,sK41,sK41),
inference(forward_subsumption_resolution,[],[f40951,f39268]) ).
fof(f41447,plain,
! [X0,X1] : cong(X0,X1,X1,X1),
inference(forward_subsumption_resolution,[],[f41394,f39610]) ).
fof(f42029,plain,
cong(sK41,sK41,sK29,sK41),
inference(resolution,[],[f41395,f301]) ).
fof(f43481,plain,
! [X0,X1] : cong(X0,X0,X1,X0),
inference(resolution,[],[f41447,f301]) ).
fof(f43521,plain,
cong(sK41,sK41,sK41,sK29),
inference(resolution,[],[f42029,f300]) ).
fof(f50429,plain,
! [X0,X1] : cong(X0,X0,X0,X1),
inference(resolution,[],[f43481,f300]) ).
fof(f50649,plain,
para(sK41,sK29,sK41,sK41),
inference(resolution,[],[f43521,f2694]) ).
fof(f54770,plain,
! [X0,X1] :
( midp(X0,X0,X1)
| ~ coll(X0,X0,X1) ),
inference(resolution,[],[f50429,f345]) ).
fof(f54841,plain,
! [X0,X1] : midp(X0,X0,X1),
inference(forward_subsumption_resolution,[],[f54770,f32886]) ).
fof(f54856,plain,
! [X0,X1] : midp(X0,X1,X0),
inference(resolution,[],[f54841,f288]) ).
fof(f59836,plain,
! [X0] :
( ~ midp(sK41,X0,sK41)
| midp(sK29,X0,sK41)
| ~ coll(sK29,X0,sK41) ),
inference(resolution,[],[f50649,f323]) ).
fof(f59847,plain,
! [X0] :
( midp(sK29,X0,sK41)
| ~ coll(sK29,X0,sK41) ),
inference(forward_subsumption_resolution,[],[f59836,f54856]) ).
fof(f59848,plain,
! [X0] : midp(sK29,X0,sK41),
inference(forward_subsumption_resolution,[],[f59847,f32886]) ).
fof(f63986,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X0)
| ~ midp(X2,X2,X1)
| midp(X1,X0,X2) ),
inference(resolution,[],[f6136,f54856]) ).
fof(f64015,plain,
! [X0,X1] :
( ~ midp(X0,sK41,X0)
| ~ midp(X1,X1,sK41)
| midp(sK29,X0,X1) ),
inference(resolution,[],[f6136,f59848]) ).
fof(f64016,plain,
! [X0,X1] :
( ~ midp(X1,X1,sK41)
| midp(sK29,X0,X1) ),
inference(forward_subsumption_resolution,[],[f64015,f54856]) ).
fof(f64044,plain,
! [X2,X0,X1] :
( ~ midp(X2,X2,X1)
| midp(X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f63986,f54856]) ).
fof(f64045,plain,
! [X0,X1] : midp(sK29,X0,X1),
inference(forward_subsumption_resolution,[],[f64016,f54841]) ).
fof(f64073,plain,
! [X2,X0,X1] : midp(X1,X0,X2),
inference(forward_subsumption_resolution,[],[f64044,f54841]) ).
fof(f64090,plain,
! [X2,X3,X0,X1] :
( ~ midp(sK29,X0,X1)
| para(X2,X1,X3,X0) ),
inference(resolution,[],[f64045,f4918]) ).
fof(f64242,plain,
! [X2,X3,X0,X1] : para(X2,X1,X3,X0),
inference(forward_subsumption_resolution,[],[f64090,f64045]) ).
fof(f64499,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X6,X7,X2,X3,X1,X0)
| ~ para(X4,X5,X6,X7) ),
inference(resolution,[],[f2438,f777]) ).
fof(f64607,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X6,X7,X2,X3,X1,X0) ),
inference(forward_subsumption_resolution,[],[f64499,f64242]) ).
fof(f64679,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X4,X5,X6,X7,X2,X3,X1,X0),
inference(forward_subsumption_resolution,[],[f64607,f64242]) ).
fof(f72076,plain,
( ~ para(sK28,sK23,sK29,sK28)
| ~ midp(sK27,sK23,sK24)
| ~ circle(sK28,sK22,sK23,sK24)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29)
| ~ eqangle(sK22,sK23,sK23,sK24,sK29,sK28,sK28,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(resolution,[],[f4800,f433]) ).
fof(f72153,plain,
( ~ para(sK28,sK23,sK29,sK28)
| ~ midp(sK27,sK23,sK24)
| ~ circle(sK28,sK22,sK23,sK24)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29)
| ~ eqangle(sK22,sK23,sK23,sK24,sK29,sK28,sK28,sK27)
| sP0(sK27,sK28,sK29,sK24,sK23,sK22)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK29,sK29,sK27) ),
inference(forward_subsumption_resolution,[],[f72076,f392]) ).
fof(f72168,plain,
( ~ para(sK28,sK23,sK29,sK28)
| ~ midp(sK27,sK23,sK24)
| ~ circle(sK28,sK22,sK23,sK24)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29)
| ~ eqangle(sK22,sK23,sK23,sK24,sK29,sK28,sK28,sK27)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK29,sK29,sK27) ),
inference(forward_subsumption_resolution,[],[f72153,f394]) ).
fof(f72176,plain,
( ~ midp(sK27,sK23,sK24)
| ~ circle(sK28,sK22,sK23,sK24)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29)
| ~ eqangle(sK22,sK23,sK23,sK24,sK29,sK28,sK28,sK27)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK29,sK29,sK27) ),
inference(forward_subsumption_resolution,[],[f72168,f64242]) ).
fof(f72180,plain,
( ~ circle(sK28,sK22,sK23,sK24)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29)
| ~ eqangle(sK22,sK23,sK23,sK24,sK29,sK28,sK28,sK27)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK29,sK29,sK27) ),
inference(forward_subsumption_resolution,[],[f72176,f64073]) ).
fof(f72181,plain,
( ~ circle(sK28,sK22,sK23,sK24)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29)
| ~ eqangle(sK22,sK23,sK23,sK24,sK29,sK28,sK28,sK27) ),
inference(forward_subsumption_resolution,[],[f72180,f64679]) ).
fof(f72182,plain,
( ~ circle(sK28,sK22,sK23,sK24)
| ~ eqangle(sK22,sK23,sK23,sK24,sK28,sK27,sK27,sK29) ),
inference(forward_subsumption_resolution,[],[f72181,f64679]) ).
fof(f72183,plain,
~ circle(sK28,sK22,sK23,sK24),
inference(forward_subsumption_resolution,[],[f72182,f64679]) ).
fof(f72185,plain,
( ~ midp(sK28,sK22,sK24)
| ~ midp(sK28,sK23,sK22) ),
inference(resolution,[],[f72183,f2359]) ).
fof(f72186,plain,
~ midp(sK28,sK22,sK24),
inference(forward_subsumption_resolution,[],[f72185,f64073]) ).
fof(f72188,plain,
$false,
inference(forward_subsumption_resolution,[],[f72186,f64073]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 08:36:16 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 7.63/1.75 % (2324121)Will run a generic schedule for satisfiability detection.
% 7.63/1.75 % (2324128)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=291046753:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.63/1.75 % (2324126)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2637376983_2999 on theBenchmark for (2999ds/0Mi)
% 7.63/1.75 % (2324129)dis+10_1_sil=32000:sp=arity:random_seed=923074708:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.63/1.75 % (2324130)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2245718393:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.63/1.75 % (2324131)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3529345287:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.63/1.75 % (2324132)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2387978590:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.63/1.75 % (2324127)% WARNING: option uhcvi not known.
% 7.63/1.75 % (2324127)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3484941767:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.63/1.75 % TRYING [1]
% 7.63/1.75 % TRYING [2]
% 7.63/1.75 % (2324129)Instruction limit reached!
% 7.63/1.75 % (2324129)------------------------------
% 7.63/1.75 % (2324129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.75 % (2324129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.75 % (2324129)CaDiCaL version: 2.1.3
% 7.63/1.75 % (2324129)Termination reason: Instruction limit
% 7.63/1.75 % (2324129)Termination phase: Saturation
% 7.63/1.75 % (2324129)Time elapsed: 0.065 s
% 7.63/1.75 % (2324129)Peak memory usage: 13 MB
% 7.63/1.75 % (2324129)Instructions burned: 104 (million)
% 7.63/1.75 % (2324130)Instruction limit reached!
% 7.63/1.75 % (2324130)------------------------------
% 7.63/1.75 % (2324130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.75 % (2324130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.75 % (2324130)CaDiCaL version: 2.1.3
% 7.63/1.75 % (2324130)Termination reason: Instruction limit
% 7.63/1.75 % (2324130)Termination phase: Saturation
% 7.63/1.75 % (2324130)Time elapsed: 0.069 s
% 7.63/1.75 % (2324130)Peak memory usage: 13 MB
% 7.63/1.75 % (2324130)Instructions burned: 116 (million)
% 7.63/1.75 % (2324131)Instruction limit reached!
% 7.63/1.75 % (2324131)------------------------------
% 7.63/1.75 % (2324131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.75 % (2324131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.75 % (2324131)CaDiCaL version: 2.1.3
% 7.63/1.75 % (2324131)Termination reason: Instruction limit
% 7.63/1.75 % (2324131)Termination phase: Saturation
% 7.63/1.75 % (2324131)Time elapsed: 0.077 s
% 7.63/1.75 % (2324131)Peak memory usage: 14 MB
% 7.63/1.75 % (2324131)Instructions burned: 132 (million)
% 7.63/1.75 % (2324140)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3489159878:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.63/1.75 % (2324132)Instruction limit reached!
% 7.63/1.75 % (2324132)------------------------------
% 7.63/1.75 % (2324132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.75 % (2324132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.75 % (2324132)CaDiCaL version: 2.1.3
% 7.63/1.75 % (2324132)Termination reason: Instruction limit
% 7.63/1.75 % (2324132)Termination phase: Saturation
% 7.63/1.75 % (2324132)Time elapsed: 0.088 s
% 7.63/1.75 % (2324132)Peak memory usage: 14 MB
% 7.63/1.75 % (2324132)Instructions burned: 161 (million)
% 7.63/1.75 % (2324141)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1891028643:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.63/1.75 % (2324142)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=3232455076:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.63/1.75 % TRYING [1]
% 7.63/1.75 % TRYING [2]
% 7.63/1.75 % (2324145)ott-21_1_sil=16000:fs=off:random_seed=1868086367:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.63/1.75 % TRYING [3]
% 7.63/1.75 % TRYING [3]
% 7.63/1.75 % (2324141)Instruction limit reached!
% 7.63/1.75 % (2324141)------------------------------
% 7.63/1.75 % (2324141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.75 % (2324141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324141)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324141)Termination reason: Instruction limit
% 31.49/4.96 % (2324141)Termination phase: Saturation
% 31.49/4.96 % (2324141)Time elapsed: 0.080 s
% 31.49/4.96 % (2324141)Peak memory usage: 14 MB
% 31.49/4.96 % (2324141)Instructions burned: 132 (million)
% 31.49/4.96 % (2324148)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4225446534:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 31.49/4.96 % (2324145)Instruction limit reached!
% 31.49/4.96 % (2324145)------------------------------
% 31.49/4.96 % (2324145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324145)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324145)Termination reason: Instruction limit
% 31.49/4.96 % (2324145)Termination phase: Saturation
% 31.49/4.96 % (2324145)Time elapsed: 0.092 s
% 31.49/4.96 % (2324145)Peak memory usage: 12 MB
% 31.49/4.96 % (2324145)Instructions burned: 181 (million)
% 31.49/4.96 % (2324150)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4016733271:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 31.49/4.96 % TRYING [1]
% 31.49/4.96 % TRYING [2]
% 31.49/4.96 % (2324140)Instruction limit reached!
% 31.49/4.96 % (2324140)------------------------------
% 31.49/4.96 % (2324140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324140)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324140)Termination reason: Instruction limit
% 31.49/4.96 % (2324140)Termination phase: Finite model building constraint generation
% 31.49/4.96 % (2324140)Time elapsed: 0.256 s
% 31.49/4.96 % (2324140)Peak memory usage: 25 MB
% 31.49/4.96 % (2324140)Instructions burned: 716 (million)
% 31.49/4.96 % (2324152)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=5812159:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 31.49/4.96 % (2324148)Instruction limit reached!
% 31.49/4.96 % (2324148)------------------------------
% 31.49/4.96 % (2324148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324148)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324148)Termination reason: Instruction limit
% 31.49/4.96 % (2324148)Termination phase: Saturation
% 31.49/4.96 % (2324148)Time elapsed: 0.263 s
% 31.49/4.96 % (2324148)Peak memory usage: 15 MB
% 31.49/4.96 % (2324148)Instructions burned: 478 (million)
% 31.49/4.96 % (2324154)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1469779332:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 31.49/4.96 % (2324142)Instruction limit reached!
% 31.49/4.96 % (2324142)------------------------------
% 31.49/4.96 % (2324142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324142)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324142)Termination reason: Instruction limit
% 31.49/4.96 % (2324142)Termination phase: Saturation
% 31.49/4.96 % (2324142)Time elapsed: 0.376 s
% 31.49/4.96 % (2324142)Peak memory usage: 19 MB
% 31.49/4.96 % (2324142)Instructions burned: 685 (million)
% 31.49/4.96 % TRYING [3]
% 31.49/4.96 % (2324156)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=78285733:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 31.49/4.96 % (2324154)Cannot represent all propositional literals internally
% 31.49/4.96 % (2324154)Refutation not found, incomplete strategy
% 31.49/4.96 % (2324154)------------------------------
% 31.49/4.96 % (2324154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324154)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324154)Termination reason: Refutation not found, incomplete strategy
% 31.49/4.96 % (2324154)Time elapsed: 0.040 s
% 31.49/4.96 % (2324154)Peak memory usage: 11 MB
% 31.49/4.96 % (2324154)Instructions burned: 85 (million)
% 31.49/4.96 % (2324154)------------------------------
% 31.49/4.96 % (2324154)------------------------------
% 31.49/4.96 % (2324158)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1375869976:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 31.49/4.96 % (2324150)Instruction limit reached!
% 31.49/4.96 % (2324150)------------------------------
% 31.49/4.96 % (2324150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324150)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324150)Termination reason: Instruction limit
% 31.49/4.96 % (2324150)Termination phase: Finite model building constraint generation
% 31.49/4.96 % (2324150)Time elapsed: 0.334 s
% 31.49/4.96 % (2324150)Peak memory usage: 42 MB
% 31.49/4.96 % (2324150)Instructions burned: 866 (million)
% 31.49/4.96 % (2324160)fmb+10_1_sil=64000:random_seed=707528314:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 31.49/4.96 % TRYING [1]
% 31.49/4.96 % TRYING [2]
% 31.49/4.96 % TRYING [3]
% 31.49/4.96 % (2324156)Instruction limit reached!
% 31.49/4.96 % (2324156)------------------------------
% 31.49/4.96 % (2324156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324156)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324156)Termination reason: Instruction limit
% 31.49/4.96 % (2324156)Termination phase: Saturation
% 31.49/4.96 % (2324156)Time elapsed: 0.393 s
% 31.49/4.96 % (2324156)Peak memory usage: 23 MB
% 31.49/4.96 % (2324156)Instructions burned: 693 (million)
% 31.49/4.96 % (2324162)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3257166743:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 31.49/4.96 % (2324162)Cannot represent all propositional literals internally
% 31.49/4.96 % (2324162)Refutation not found, incomplete strategy
% 31.49/4.96 % (2324162)------------------------------
% 31.49/4.96 % (2324162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324162)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324162)Termination reason: Refutation not found, incomplete strategy
% 31.49/4.96 % (2324162)Time elapsed: 0.022 s
% 31.49/4.96 % (2324162)Peak memory usage: 11 MB
% 31.49/4.96 % (2324162)Instructions burned: 47 (million)
% 31.49/4.96 % (2324162)------------------------------
% 31.49/4.96 % (2324162)------------------------------
% 31.49/4.96 % (2324164)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2320228524:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 31.49/4.96 % TRYING [8]
% 31.49/4.96 % (2324158)Instruction limit reached!
% 31.49/4.96 % (2324158)------------------------------
% 31.49/4.96 % (2324158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324158)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324158)Termination reason: Instruction limit
% 31.49/4.96 % (2324158)Termination phase: Saturation
% 31.49/4.96 % (2324158)Time elapsed: 0.463 s
% 31.49/4.96 % (2324158)Peak memory usage: 18 MB
% 31.49/4.96 % (2324158)Instructions burned: 880 (million)
% 31.49/4.96 % (2324166)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=940739577:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 31.49/4.96 % (2324152)Instruction limit reached!
% 31.49/4.96 % (2324152)------------------------------
% 31.49/4.96 % (2324152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324152)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324152)Termination reason: Instruction limit
% 31.49/4.96 % (2324152)Termination phase: Saturation
% 31.49/4.96 % (2324152)Time elapsed: 0.661 s
% 31.49/4.96 % (2324152)Peak memory usage: 28 MB
% 31.49/4.96 % (2324152)Instructions burned: 1180 (million)
% 31.49/4.96 % (2324168)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3334079221:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 31.49/4.96 % (2324164)Instruction limit reached!
% 31.49/4.96 % (2324164)------------------------------
% 31.49/4.96 % (2324164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324164)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324164)Termination reason: Instruction limit
% 31.49/4.96 % (2324164)Termination phase: Finite model building constraint generation
% 31.49/4.96 % (2324164)Time elapsed: 0.324 s
% 31.49/4.96 % (2324164)Peak memory usage: 67 MB
% 31.49/4.96 % (2324164)Instructions burned: 920 (million)
% 31.49/4.96 % (2324170)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2117569951:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 31.49/4.96 % (2324170)Cannot represent all propositional literals internally
% 31.49/4.96 % (2324170)Refutation not found, incomplete strategy
% 31.49/4.96 % (2324170)------------------------------
% 31.49/4.96 % (2324170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324170)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324170)Termination reason: Refutation not found, incomplete strategy
% 31.49/4.96 % (2324170)Time elapsed: 0.042 s
% 31.49/4.96 % (2324170)Peak memory usage: 11 MB
% 31.49/4.96 % (2324170)Instructions burned: 89 (million)
% 31.49/4.96 % (2324170)------------------------------
% 31.49/4.96 % (2324170)------------------------------
% 31.49/4.96 % (2324172)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3364722501:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 31.49/4.96 % (2324172)Cannot represent all propositional literals internally
% 31.49/4.96 % (2324172)Refutation not found, incomplete strategy
% 31.49/4.96 % (2324172)------------------------------
% 31.49/4.96 % (2324172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324172)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324172)Termination reason: Refutation not found, incomplete strategy
% 31.49/4.96 % (2324172)Time elapsed: 0.115 s
% 31.49/4.96 % (2324172)Peak memory usage: 13 MB
% 31.49/4.96 % (2324172)Instructions burned: 238 (million)
% 31.49/4.96 % (2324172)------------------------------
% 31.49/4.96 % (2324172)------------------------------
% 31.49/4.96 % (2324174)ott-2_1_sil=16000:newcnf=on:random_seed=1860552746:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2984 on theBenchmark for (2984ds/869Mi)
% 31.49/4.96 % (2324168)Instruction limit reached!
% 31.49/4.96 % (2324168)------------------------------
% 31.49/4.96 % (2324168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324168)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324168)Termination reason: Instruction limit
% 31.49/4.96 % (2324168)Termination phase: Saturation
% 31.49/4.96 % (2324168)Time elapsed: 0.913 s
% 31.49/4.96 % (2324168)Peak memory usage: 25 MB
% 31.49/4.96 % (2324168)Instructions burned: 1472 (million)
% 31.49/4.96 % (2324176)ott+10_1_sil=32000:tgt=ground:random_seed=2944161965:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 31.49/4.96 % (2324174)Instruction limit reached!
% 31.49/4.96 % (2324174)------------------------------
% 31.49/4.96 % (2324174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324174)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324174)Termination reason: Instruction limit
% 31.49/4.96 % (2324174)Termination phase: Saturation
% 31.49/4.96 % (2324174)Time elapsed: 0.505 s
% 31.49/4.96 % (2324174)Peak memory usage: 19 MB
% 31.49/4.96 % (2324174)Instructions burned: 870 (million)
% 31.49/4.96 % (2324178)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1243571831:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 31.49/4.96 % TRYING [1]
% 31.49/4.96 % TRYING [2]
% 31.49/4.96 % TRYING [3]
% 31.49/4.96 % (2324166)Instruction limit reached!
% 31.49/4.96 % (2324166)------------------------------
% 31.49/4.96 % (2324166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.96 % (2324166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.96 % (2324166)CaDiCaL version: 2.1.3
% 31.49/4.96 % (2324166)Termination reason: Instruction limit
% 31.49/4.96 % (2324166)Termination phase: Saturation
% 31.49/4.96 % (2324166)Time elapsed: 3.105 s
% 31.49/4.96 % (2324166)Peak memory usage: 38 MB
% 31.49/4.96 % (2324166)Instructions burned: 5132 (million)
% 31.49/4.96 % (2324180)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2182457292:i=3512:aac=none_2958 on theBenchmark for (2958ds/3512Mi)
% 31.49/4.96 % (2324176) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2324121-2324176"...
% 31.49/4.96 % (2324176)...printing done.
% 31.49/4.96 % (2324176)Refutation found. Thanks to Tanya!
% 31.49/4.96 % SZS status Theorem for theBenchmark
% 31.49/4.96 % SZS output start Proof for theBenchmark
% See solution above
% 31.49/4.97 % (2324176)------------------------------
% 31.49/4.97 % (2324176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.49/4.97 % (2324176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.49/4.97 % (2324176)CaDiCaL version: 2.1.3
% 31.49/4.97 % (2324176)Termination reason: Refutation
% 31.49/4.97 % (2324176)Time elapsed: 2.479 s
% 31.49/4.97 % (2324176)Peak memory usage: 50 MB
% 31.49/4.97 % (2324176)Instructions burned: 4026 (million)
% 31.49/4.97 % (2324121)Success in time 4.551 s
% 31.49/4.97 % Vampire exiting
%------------------------------------------------------------------------------