%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO630+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 : Fri Sep 25 01:21:41 PM UTC 2026
% Result : Theorem 66.86s 15.45s
% Output : CNFRefutation 66.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 39
% Syntax : Number of formulae : 566 ( 93 unt; 0 def)
% Number of atoms : 1376 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 1503 ( 693 ~; 686 |; 84 &)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-7 aty)
% Number of variables : 1239 ( 0 sgn1210 !; 29 ?; 526 :)
% 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,X3)
& coll(X0,X1,X2) )
=> 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(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> 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(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
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,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(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(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,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] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,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(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f83,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ( coll(X3,X0,X1)
& coll(X2,X0,X1)
& midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> midp(X7,X0,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX7) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X9,X0,X2)
& perp(X9,X4,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X4,X0,X1)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X0,X2)
& perp(X6,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X11)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) )
=> perp(X8,X9,X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110993) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X9,X0,X2)
& perp(X9,X4,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X4,X0,X1)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X0,X2)
& perp(X6,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X11)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) )
=> perp(X8,X9,X7,X6) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( coll(X9,X0,X2)
& perp(X9,X4,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X4,X0,X1)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X0,X2)
& perp(X6,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X11)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2)
& ~ perp(X8,X9,X7,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( coll(X9,X0,X2)
& perp(X9,X4,X0,X2)
& coll(X8,X0,X1)
& perp(X8,X4,X0,X1)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X0,X2)
& perp(X6,X5,X0,X2)
& coll(X5,X4,X3)
& circle(X3,X4,X5,X11)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2)
& ~ perp(X8,X9,X7,X6) ),
inference(flattening,[],[f98]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(ennf_transformation,[],[f83]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(flattening,[],[f110]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f136]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f148]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f160,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f159]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f169]) ).
fof(f173,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f175]) ).
fof(f177,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f177]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f179]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f184,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f183]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f193,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f196,plain,
! [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) ),
inference(ennf_transformation,[],[f21]) ).
fof(f198,plain,
! [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) ),
inference(ennf_transformation,[],[f19]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f206]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f213]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f220,plain,
( coll(sK9,sK0,sK2)
& perp(sK9,sK4,sK0,sK2)
& coll(sK8,sK0,sK1)
& perp(sK8,sK4,sK0,sK1)
& coll(sK7,sK0,sK1)
& perp(sK7,sK5,sK0,sK1)
& coll(sK6,sK0,sK2)
& perp(sK6,sK5,sK0,sK2)
& coll(sK5,sK4,sK3)
& circle(sK3,sK4,sK5,sK11)
& circle(sK3,sK0,sK4,sK10)
& circle(sK3,sK0,sK1,sK2)
& ~ perp(sK8,sK9,sK7,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11)],[f99]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK18(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X7,sK18(X0,X1,X2,X3,X4,X5,X6))],[f111]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK27(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X4,sK27(X0,X1,X2,X3))],[f158]) ).
fof(f239,plain,
coll(sK9,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f240,plain,
perp(sK9,sK4,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK8,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
perp(sK8,sK4,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
coll(sK7,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
perp(sK7,sK5,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
coll(sK6,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
perp(sK6,sK5,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
coll(sK5,sK4,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f250,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f251,plain,
~ perp(sK8,sK9,sK7,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f264,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK18(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(cnf_transformation,[],[f227]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f277,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f292,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,[],[f151]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f297,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK27(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f236]) ).
fof(f298,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f303,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f307,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f174]) ).
fof(f308,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f178]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f181]) ).
fof(f312,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f182]) ).
fof(f313,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,[],[f184]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f185]) ).
fof(f315,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f186]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f192]) ).
fof(f321,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f323,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,[],[f196]) ).
fof(f325,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,[],[f198]) ).
fof(f331,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f207]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f214]) ).
fof(f337,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f216]) ).
fof(f338,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_49,negated_conjecture,
~ perp(sK8,sK9,sK7,sK6),
inference(cnf_transformation,[],[f251]) ).
tcf(c_50,negated_conjecture,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f250]) ).
tcf(c_53,negated_conjecture,
coll(sK5,sK4,sK3),
inference(cnf_transformation,[],[f247]) ).
tcf(c_54,negated_conjecture,
perp(sK6,sK5,sK0,sK2),
inference(cnf_transformation,[],[f246]) ).
tcf(c_55,negated_conjecture,
coll(sK6,sK0,sK2),
inference(cnf_transformation,[],[f245]) ).
tcf(c_56,negated_conjecture,
perp(sK7,sK5,sK0,sK1),
inference(cnf_transformation,[],[f244]) ).
tcf(c_57,negated_conjecture,
coll(sK7,sK0,sK1),
inference(cnf_transformation,[],[f243]) ).
tcf(c_58,negated_conjecture,
perp(sK8,sK4,sK0,sK1),
inference(cnf_transformation,[],[f242]) ).
tcf(c_59,negated_conjecture,
coll(sK8,sK0,sK1),
inference(cnf_transformation,[],[f241]) ).
tcf(c_60,negated_conjecture,
perp(sK9,sK4,sK0,sK2),
inference(cnf_transformation,[],[f240]) ).
tcf(c_61,negated_conjecture,
coll(sK9,sK0,sK2),
inference(cnf_transformation,[],[f239]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( midp(sK18(X1,X2,X0,X3,X4,X5,X6),X1,X6)
| ~ midp(X5,X0,X3)
| ~ midp(X4,X1,X2)
| ~ coll(X3,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK27(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X2,X3)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X3,X0,X4,X2)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_159,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_161,plain,
( circle(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_163,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_793,plain,
perp(sK27(sK0,sK1,sK2,sK3),sK0,sK0,sK3),
inference(resolution,[status(thm)],[c_50,c_107]) ).
tcf(c_2287,plain,
( coll(sK0,sK6,sK2)
| ~ coll(sK6,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2291,plain,
( coll(sK5,sK3,sK4)
| ~ coll(sK5,sK4,sK3) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_2292,plain,
( coll(sK6,sK2,sK0)
| ~ coll(sK6,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_2293,plain,
( coll(sK7,sK1,sK0)
| ~ coll(sK7,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_2294,plain,
( coll(sK8,sK1,sK0)
| ~ coll(sK8,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_2295,plain,
( coll(sK9,sK2,sK0)
| ~ coll(sK9,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_2296,plain,
( perp(sK0,sK2,sK6,sK5)
| ~ perp(sK6,sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_2300,plain,
( perp(sK6,sK5,sK2,sK0)
| ~ perp(sK6,sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2304,plain,
! [X0: $i] :
( coll(sK3,X0,sK5)
| ~ coll(sK5,sK4,sK3)
| ~ coll(sK5,sK4,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_2340,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK5,X0,X1)
| ~ perp(sK6,sK5,sK0,sK2)
| ~ perp(sK0,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2356,plain,
! [X0: $i,X1: $i] :
( midp(sK9,sK0,sK2)
| ~ coll(sK9,sK0,sK2)
| ~ midp(X0,sK0,X1)
| ~ para(X0,sK9,X1,sK2) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_2357,plain,
( midp(sK9,sK0,sK2)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK9,sK0,sK2)
| ~ para(sK0,sK9,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_2356]) ).
tcf(c_2532,plain,
! [X0: $i] :
( coll(sK2,X0,sK0)
| ~ coll(sK0,sK6,sK2)
| ~ coll(sK0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_2535,plain,
( coll(sK2,sK0,sK0)
| ~ coll(sK0,sK6,sK2)
| ~ coll(sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_2532]) ).
tcf(c_2640,plain,
! [X0: $i] :
( coll(sK4,X0,sK5)
| ~ coll(sK5,sK3,sK4)
| ~ coll(sK5,sK3,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_2643,plain,
( coll(sK4,sK0,sK5)
| ~ coll(sK5,sK3,sK4)
| ~ coll(sK5,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_2640]) ).
tcf(c_2667,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK2,sK0)
| ~ coll(sK6,sK2,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_2669,plain,
( coll(sK2,sK6,sK0)
| ~ coll(sK6,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2670,plain,
( coll(sK0,sK0,sK6)
| ~ coll(sK6,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2667]) ).
tcf(c_2721,plain,
! [X0: $i] :
( coll(sK0,X0,sK8)
| ~ coll(sK8,sK1,sK0)
| ~ coll(sK8,sK1,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_2723,plain,
( coll(sK1,sK8,sK0)
| ~ coll(sK8,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2724,plain,
( coll(sK0,sK0,sK8)
| ~ coll(sK8,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2721]) ).
tcf(c_2748,plain,
! [X0: $i] :
( coll(sK0,X0,sK9)
| ~ coll(sK9,sK2,sK0)
| ~ coll(sK9,sK2,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_2750,plain,
( coll(sK2,sK9,sK0)
| ~ coll(sK9,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2751,plain,
( coll(sK0,sK0,sK9)
| ~ coll(sK9,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_2748]) ).
tcf(c_2767,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ perp(sK0,sK2,sK6,sK5)
| ~ perp(sK6,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2834,plain,
( perp(sK2,sK0,sK6,sK5)
| ~ perp(sK6,sK5,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_2909,plain,
( perp(sK27(sK0,sK1,sK2,sK3),sK0,sK3,sK0)
| ~ perp(sK27(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2910,plain,
( perp(sK0,sK3,sK27(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK27(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_2971,plain,
coll(sK0,sK6,sK2),
inference(superposition,[status(thm)],[c_55,c_89]) ).
tcf(c_3024,plain,
coll(sK8,sK1,sK0),
inference(superposition,[status(thm)],[c_59,c_90]) ).
tcf(c_3025,plain,
coll(sK9,sK2,sK0),
inference(superposition,[status(thm)],[c_61,c_90]) ).
tcf(c_3035,plain,
coll(sK5,sK3,sK4),
inference(superposition,[status(thm)],[c_53,c_90]) ).
tcf(c_3045,plain,
( coll(sK3,sK3,sK5)
| ~ coll(sK5,sK4,sK3) ),
inference(instantiation,[status(thm)],[c_2304]) ).
tcf(c_3050,plain,
( para(sK6,sK5,sK6,sK5)
| ~ perp(sK0,sK2,sK6,sK5)
| ~ perp(sK6,sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_2340]) ).
tcf(c_3157,plain,
coll(sK1,sK8,sK0),
inference(superposition,[status(thm)],[c_3024,c_89]) ).
tcf(c_3174,plain,
! [X0: $i] :
( coll(sK5,X0,sK3)
| ~ coll(sK3,sK3,sK5)
| ~ coll(sK3,sK3,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_3177,plain,
( coll(sK5,sK0,sK3)
| ~ coll(sK3,sK3,sK5)
| ~ coll(sK3,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_3174]) ).
tcf(c_3188,plain,
coll(sK2,sK9,sK0),
inference(superposition,[status(thm)],[c_3025,c_89]) ).
tcf(c_3219,plain,
perp(sK0,sK2,sK6,sK5),
inference(superposition,[status(thm)],[c_54,c_103]) ).
tcf(c_3220,plain,
perp(sK0,sK1,sK7,sK5),
inference(superposition,[status(thm)],[c_56,c_103]) ).
tcf(c_3227,plain,
perp(sK0,sK2,sK6,sK5),
inference(superposition,[status(thm)],[c_54,c_103]) ).
tcf(c_3228,plain,
perp(sK0,sK1,sK7,sK5),
inference(superposition,[status(thm)],[c_56,c_103]) ).
tcf(c_3229,plain,
perp(sK0,sK1,sK8,sK4),
inference(superposition,[status(thm)],[c_58,c_103]) ).
tcf(c_3358,plain,
perp(sK7,sK5,sK1,sK0),
inference(superposition,[status(thm)],[c_56,c_104]) ).
tcf(c_3375,plain,
perp(sK0,sK1,sK4,sK8),
inference(superposition,[status(thm)],[c_3229,c_104]) ).
tcf(c_3814,plain,
! [X0: $i] :
( coll(sK2,X0,sK6)
| ~ coll(sK6,sK0,X0) ),
inference(superposition,[status(thm)],[c_55,c_88]) ).
tcf(c_3815,plain,
! [X0: $i] :
( coll(sK1,X0,sK7)
| ~ coll(sK7,sK0,X0) ),
inference(superposition,[status(thm)],[c_57,c_88]) ).
tcf(c_3816,plain,
! [X0: $i] :
( coll(sK1,X0,sK8)
| ~ coll(sK8,sK0,X0) ),
inference(superposition,[status(thm)],[c_59,c_88]) ).
tcf(c_3817,plain,
! [X0: $i] :
( coll(sK2,X0,sK9)
| ~ coll(sK9,sK0,X0) ),
inference(superposition,[status(thm)],[c_61,c_88]) ).
tcf(c_3840,plain,
! [X0: $i] :
( coll(sK0,X0,sK1)
| ~ coll(sK1,sK8,X0) ),
inference(superposition,[status(thm)],[c_3157,c_88]) ).
tcf(c_3841,plain,
! [X0: $i] :
( coll(sK0,X0,sK2)
| ~ coll(sK2,sK9,X0) ),
inference(superposition,[status(thm)],[c_3188,c_88]) ).
tcf(c_3904,plain,
( coll(sK0,sK0,sK2)
| ~ coll(sK2,sK9,sK0) ),
inference(instantiation,[status(thm)],[c_3841]) ).
tcf(c_3905,plain,
( coll(sK0,sK0,sK1)
| ~ coll(sK1,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_3840]) ).
tcf(c_3927,plain,
! [X0: $i] :
( coll(sK3,X0,sK5)
| ~ coll(sK5,sK4,X0) ),
inference(superposition,[status(thm)],[c_53,c_88]) ).
tcf(c_3933,plain,
! [X0: $i] :
( coll(sK2,X0,sK0)
| ~ coll(sK0,sK6,X0) ),
inference(superposition,[status(thm)],[c_2971,c_88]) ).
tcf(c_3937,plain,
! [X0: $i] :
( coll(sK4,X0,sK5)
| ~ coll(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_3035,c_88]) ).
tcf(c_4152,plain,
! [X0: $i] :
( coll(sK8,sK0,X0)
| ~ coll(sK0,sK8,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_4153,plain,
( coll(sK8,sK0,sK0)
| ~ coll(sK0,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_4152]) ).
tcf(c_4171,plain,
! [X0: $i] :
( coll(sK6,sK0,X0)
| ~ coll(sK6,X0,sK0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4178,plain,
! [X0: $i] :
( coll(sK5,sK3,X0)
| ~ coll(sK5,X0,sK3) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4179,plain,
( coll(sK5,sK3,sK0)
| ~ coll(sK5,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_4178]) ).
tcf(c_4254,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK4,X0)
| ~ coll(X0,X1,sK4)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4255,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK6,X2,X0)
| ~ coll(X0,X1,sK6)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK27(X1,X2,X3,X0),X1,X0,X1)
| ~ circle(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_107,c_104]) ).
tcf(c_4383,plain,
coll(sK3,sK3,sK5),
inference(superposition,[status(thm)],[c_53,c_3927]) ).
tcf(c_4408,plain,
! [X0: $i] :
( coll(sK5,X0,sK3)
| ~ coll(sK3,sK3,X0) ),
inference(superposition,[status(thm)],[c_4383,c_88]) ).
tcf(c_4417,plain,
coll(sK2,sK2,sK6),
inference(superposition,[status(thm)],[c_55,c_3814]) ).
tcf(c_4441,plain,
! [X0: $i] :
( coll(sK6,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_4417,c_88]) ).
tcf(c_4442,plain,
coll(sK2,sK6,sK2),
inference(superposition,[status(thm)],[c_4417,c_90]) ).
tcf(c_4455,plain,
coll(sK1,sK1,sK7),
inference(superposition,[status(thm)],[c_57,c_3815]) ).
tcf(c_4468,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK6,sK5)
| ~ perp(sK2,sK0,sK6,sK5)
| ~ para(X0,X1,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_4471,plain,
( perp(sK0,sK0,sK6,sK5)
| ~ para(sK0,sK0,sK2,sK0)
| ~ perp(sK2,sK0,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_4468]) ).
tcf(c_4477,plain,
! [X0: $i] :
( coll(sK7,X0,sK1)
| ~ coll(sK1,sK1,X0) ),
inference(superposition,[status(thm)],[c_4455,c_88]) ).
tcf(c_4491,plain,
coll(sK1,sK1,sK8),
inference(superposition,[status(thm)],[c_59,c_3816]) ).
tcf(c_4627,plain,
! [X0: $i] :
( coll(sK2,X0,sK2)
| ~ coll(sK2,sK6,X0) ),
inference(superposition,[status(thm)],[c_4442,c_88]) ).
tcf(c_4632,plain,
( coll(sK2,sK0,sK2)
| ~ coll(sK2,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_4627]) ).
tcf(c_4705,plain,
coll(sK2,sK2,sK9),
inference(superposition,[status(thm)],[c_61,c_3817]) ).
tcf(c_4711,plain,
! [X0: $i] :
( coll(sK9,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_4705,c_88]) ).
tcf(c_4810,plain,
coll(sK2,sK2,sK0),
inference(superposition,[status(thm)],[c_2971,c_3933]) ).
tcf(c_4818,plain,
coll(sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_4810,c_90]) ).
tcf(c_4852,plain,
! [X0: $i,X1: $i] :
( eqangle(sK6,sK5,X0,X1,sK6,sK5,X0,X1)
| ~ para(sK6,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_4855,plain,
( eqangle(sK6,sK5,sK0,sK0,sK6,sK5,sK0,sK0)
| ~ para(sK6,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_4852]) ).
tcf(c_4859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK6,sK5,sK6,sK5)
| ~ eqangle(X0,X1,X2,X3,sK6,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_4860,plain,
( para(sK0,sK0,sK0,sK0)
| ~ para(sK6,sK5,sK6,sK5)
| ~ eqangle(sK0,sK0,sK0,sK0,sK6,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_4859]) ).
tcf(c_5234,plain,
! [X0: $i] :
( coll(sK4,sK5,X0)
| ~ coll(sK4,X0,sK5) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_5235,plain,
( coll(sK4,sK5,sK0)
| ~ coll(sK4,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_5234]) ).
tcf(c_5239,plain,
! [X0: $i] :
( coll(sK0,sK6,X0)
| ~ coll(sK6,sK0,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_5241,plain,
! [X0: $i] :
( coll(sK0,sK6,X0)
| ~ coll(sK0,X0,sK6) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_5242,plain,
( coll(sK0,sK6,sK0)
| ~ coll(sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_5241]) ).
tcf(c_5255,plain,
! [X0: $i] :
( coll(sK0,sK8,X0)
| ~ coll(sK0,X0,sK8) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_5256,plain,
( coll(sK0,sK8,sK0)
| ~ coll(sK0,sK0,sK8) ),
inference(instantiation,[status(thm)],[c_5255]) ).
tcf(c_5319,plain,
( coll(sK0,sK9,sK9)
| ~ coll(sK9,sK2,sK0)
| ~ coll(sK9,sK2,sK9) ),
inference(instantiation,[status(thm)],[c_2748]) ).
tcf(c_5321,plain,
( para(sK0,sK2,sK0,sK2)
| ~ perp(sK0,sK2,sK6,sK5)
| ~ perp(sK6,sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_2767]) ).
tcf(c_5476,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_108]) ).
tcf(c_5491,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_108]) ).
tcf(c_6339,plain,
! [X0: $i] :
( coll(sK3,sK0,sK2)
| ~ coll(sK2,X0,sK0)
| ~ coll(sK2,X0,sK3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_6340,plain,
( coll(sK3,sK0,sK2)
| ~ coll(sK2,sK0,sK0)
| ~ coll(sK2,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_6339]) ).
tcf(c_6354,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK2,X0,X1,sK0,sK2,X0,X1)
| ~ para(sK0,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_6357,plain,
( eqangle(sK0,sK2,sK0,sK0,sK0,sK2,sK0,sK0)
| ~ para(sK0,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_6354]) ).
tcf(c_6730,plain,
! [X0: $i,X1: $i] :
( para(sK9,sK4,X0,X1)
| ~ perp(sK0,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_60,c_102]) ).
tcf(c_6732,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ perp(sK6,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_3219,c_102]) ).
tcf(c_6733,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK7,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_3220,c_102]) ).
tcf(c_6760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(sK27(X1,X4,X5,X0),X1,X2,X3)
| ~ circle(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_4320,c_102]) ).
tcf(c_6872,plain,
( para(sK27(sK0,sK0,sK0,sK0),sK0,sK0,sK0)
| ~ circle(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6760]) ).
tcf(c_6879,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK5,X0,X1)
| ~ perp(sK0,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_102]) ).
tcf(c_6880,plain,
! [X0: $i,X1: $i] :
( para(sK7,sK5,X0,X1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_102]) ).
tcf(c_6881,plain,
! [X0: $i,X1: $i] :
( para(sK8,sK4,X0,X1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_58,c_102]) ).
tcf(c_6884,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ perp(sK6,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_3227,c_102]) ).
tcf(c_6885,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK7,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_3228,c_102]) ).
tcf(c_7700,plain,
! [X0: $i] :
( cong(sK0,X0,sK1,X0)
| ~ coll(sK3,sK0,sK2)
| ~ midp(X0,sK0,sK2) ),
inference(superposition,[status(thm)],[c_5476,c_100]) ).
tcf(c_7702,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK1,sK2)
| ~ coll(sK3,sK0,sK2)
| ~ para(X0,X1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_5476,c_101]) ).
tcf(c_7731,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK1,sK2)
| ~ coll(sK3,sK0,sK2)
| ~ para(X0,X1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_5491,c_101]) ).
tcf(c_8095,plain,
para(sK6,sK5,sK6,sK5),
inference(superposition,[status(thm)],[c_3227,c_6879]) ).
tcf(c_8694,plain,
( coll(sK6,sK0,sK3)
| ~ coll(sK6,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_4171]) ).
tcf(c_8945,plain,
para(sK7,sK5,sK4,sK8),
inference(superposition,[status(thm)],[c_3375,c_6880]) ).
tcf(c_9307,plain,
para(sK9,sK4,sK6,sK5),
inference(superposition,[status(thm)],[c_3219,c_6730]) ).
tcf(c_9420,plain,
coll(sK6,sK5,sK5),
inference(superposition,[status(thm)],[c_8095,c_85]) ).
tcf(c_9720,plain,
! [X0: $i,X1: $i] :
( coll(sK6,sK3,X0)
| ~ coll(X0,X1,sK3)
| ~ coll(X0,X1,sK6) ),
inference(instantiation,[status(thm)],[c_4255]) ).
tcf(c_9722,plain,
( coll(sK6,sK3,sK0)
| ~ coll(sK0,sK0,sK3)
| ~ coll(sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_9720]) ).
tcf(c_9787,plain,
( coll(sK2,sK3,sK0)
| ~ coll(sK0,sK6,sK2)
| ~ coll(sK0,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_2532]) ).
tcf(c_10071,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK0)
| ~ coll(sK0,sK6,X1)
| ~ coll(sK0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_10075,plain,
( coll(sK0,sK0,sK0)
| ~ coll(sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_10071]) ).
tcf(c_10092,plain,
( coll(sK0,sK6,sK4)
| ~ coll(sK6,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_5239]) ).
tcf(c_10093,plain,
! [X0: $i] :
( coll(X0,sK4,sK0)
| ~ coll(sK0,sK6,sK4)
| ~ coll(sK0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_4254]) ).
tcf(c_10096,plain,
( coll(sK0,sK4,sK0)
| ~ coll(sK0,sK6,sK4)
| ~ coll(sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_10093]) ).
tcf(c_10097,plain,
( coll(sK0,sK6,sK3)
| ~ coll(sK6,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_5239]) ).
tcf(c_10107,plain,
coll(sK5,sK6,sK5),
inference(superposition,[status(thm)],[c_9420,c_89]) ).
tcf(c_10190,plain,
coll(sK5,sK5,sK6),
inference(superposition,[status(thm)],[c_10107,c_90]) ).
tcf(c_10300,plain,
para(sK4,sK8,sK7,sK5),
inference(superposition,[status(thm)],[c_8945,c_124]) ).
tcf(c_11090,plain,
! [X0: $i] :
( coll(sK6,X0,sK5)
| ~ coll(sK5,sK5,X0) ),
inference(superposition,[status(thm)],[c_10190,c_88]) ).
tcf(c_11970,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK4)
| ~ coll(X0,sK4,X1) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_11971,plain,
( coll(sK0,sK0,sK4)
| ~ coll(sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_11970]) ).
tcf(c_12127,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK3)
| ~ coll(sK3,X0,X2)
| ~ coll(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_12128,plain,
( coll(sK0,sK0,sK3)
| ~ coll(sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_12127]) ).
tcf(c_12756,plain,
coll(sK5,sK5,sK3),
inference(superposition,[status(thm)],[c_4383,c_4408]) ).
tcf(c_12768,plain,
coll(sK5,sK3,sK5),
inference(superposition,[status(thm)],[c_12756,c_90]) ).
tcf(c_12830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK9,X3,sK2)
| ~ perp(X1,X2,X3,sK2)
| ~ perp(X0,sK9,X1,X2) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_12831,plain,
( para(sK0,sK9,sK0,sK2)
| ~ perp(sK0,sK0,sK0,sK2)
| ~ perp(sK0,sK9,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_12830]) ).
tcf(c_12848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK0,X3,sK6)
| ~ perp(X1,X2,X3,sK6)
| ~ perp(X0,sK0,X1,X2) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_12849,plain,
( para(sK0,sK0,sK0,sK6)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_12848]) ).
tcf(c_12944,plain,
! [X0: $i] :
( midp(sK4,X0,sK5)
| ~ midp(sK9,X0,sK6)
| ~ coll(sK4,X0,sK5) ),
inference(superposition,[status(thm)],[c_9307,c_87]) ).
tcf(c_13011,plain,
( midp(sK4,sK0,sK5)
| ~ midp(sK9,sK0,sK6)
| ~ coll(sK4,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_12944]) ).
tcf(c_13192,plain,
! [X0: $i,X1: $i] :
( coll(sK3,X0,X1)
| ~ para(sK3,X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_13193,plain,
( coll(sK3,sK0,sK0)
| ~ para(sK3,sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_13192]) ).
tcf(c_13960,plain,
coll(sK6,sK9,sK2),
inference(superposition,[status(thm)],[c_4705,c_4441]) ).
tcf(c_13988,plain,
coll(sK6,sK2,sK9),
inference(superposition,[status(thm)],[c_13960,c_90]) ).
tcf(c_14058,plain,
coll(sK7,sK8,sK1),
inference(superposition,[status(thm)],[c_4491,c_4477]) ).
tcf(c_14173,plain,
coll(sK7,sK1,sK8),
inference(superposition,[status(thm)],[c_14058,c_90]) ).
tcf(c_14417,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_121,c_142]) ).
tcf(c_14429,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_14417]) ).
tcf(c_15236,plain,
coll(sK4,sK5,sK5),
inference(superposition,[status(thm)],[c_12768,c_3937]) ).
tcf(c_15245,plain,
coll(sK9,sK9,sK2),
inference(superposition,[status(thm)],[c_4705,c_4711]) ).
tcf(c_15334,plain,
coll(sK9,sK2,sK9),
inference(superposition,[status(thm)],[c_15245,c_90]) ).
tcf(c_18701,plain,
! [X0: $i] :
( coll(sK9,X0,sK6)
| ~ coll(sK6,sK2,X0) ),
inference(superposition,[status(thm)],[c_13988,c_88]) ).
tcf(c_18707,plain,
( coll(sK9,sK0,sK6)
| ~ coll(sK6,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_18701]) ).
tcf(c_20506,plain,
! [X0: $i] :
( coll(sK8,X0,sK7)
| ~ coll(sK7,sK1,X0) ),
inference(superposition,[status(thm)],[c_14173,c_88]) ).
tcf(c_20512,plain,
( coll(sK8,sK0,sK7)
| ~ coll(sK7,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_20506]) ).
tcf(c_20582,plain,
( eqangle(sK0,sK2,sK0,sK2,sK0,sK2,sK0,sK2)
| ~ para(sK0,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_6354]) ).
tcf(c_20585,plain,
! [X0: $i] :
( cyclic(sK2,X0,sK0,sK0)
| ~ coll(sK0,sK0,X0)
| ~ eqangle(sK0,sK2,sK0,X0,sK0,sK2,sK0,X0) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_20587,plain,
( cyclic(sK2,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ eqangle(sK0,sK2,sK0,sK0,sK0,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_20585]) ).
tcf(c_24330,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_54,c_6732]) ).
tcf(c_24352,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_54,c_6884]) ).
tcf(c_24368,plain,
! [X0: $i] :
( midp(sK2,X0,sK2)
| ~ midp(sK0,X0,sK0)
| ~ coll(sK2,X0,sK2) ),
inference(superposition,[status(thm)],[c_24330,c_87]) ).
tcf(c_24381,plain,
( midp(sK2,sK0,sK2)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_24368]) ).
tcf(c_24384,plain,
! [X0: $i] :
( midp(sK2,X0,sK2)
| ~ midp(sK0,X0,sK0)
| ~ coll(sK2,X0,sK2) ),
inference(superposition,[status(thm)],[c_24352,c_87]) ).
tcf(c_25000,plain,
coll(sK5,sK4,sK5),
inference(superposition,[status(thm)],[c_15236,c_89]) ).
tcf(c_25089,plain,
para(sK0,sK1,sK1,sK0),
inference(superposition,[status(thm)],[c_3358,c_6733]) ).
tcf(c_25110,plain,
para(sK0,sK1,sK0,sK1),
inference(superposition,[status(thm)],[c_56,c_6885]) ).
tcf(c_25242,plain,
! [X0: $i] :
( midp(X0,sK1,sK0)
| ~ midp(X0,sK0,sK1)
| ~ para(sK0,sK0,sK1,sK1) ),
inference(superposition,[status(thm)],[c_25089,c_118]) ).
tcf(c_25255,plain,
( midp(sK0,sK1,sK0)
| ~ midp(sK0,sK0,sK1)
| ~ para(sK0,sK0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_25242]) ).
tcf(c_26561,plain,
( midp(sK2,sK0,sK2)
| ~ midp(sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_4818,c_24384]) ).
tcf(c_26698,plain,
! [X0: $i] :
( cong(sK0,X0,X0,sK1)
| ~ coll(sK3,sK0,sK2)
| ~ midp(X0,sK0,sK2) ),
inference(superposition,[status(thm)],[c_7700,c_130]) ).
tcf(c_26720,plain,
( cong(sK0,sK0,sK0,sK1)
| ~ midp(sK0,sK0,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_26698]) ).
tcf(c_31512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_121,c_141]) ).
tcf(c_31547,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_31512]) ).
tcf(c_32774,plain,
perp(sK0,sK2,sK6,sK5),
inference(superposition,[status(thm)],[c_54,c_103]) ).
tcf(c_32777,plain,
perp(sK0,sK2,sK9,sK4),
inference(superposition,[status(thm)],[c_60,c_103]) ).
tcf(c_32787,plain,
perp(sK6,sK5,sK2,sK0),
inference(superposition,[status(thm)],[c_54,c_104]) ).
tcf(c_32829,plain,
perp(sK0,sK2,sK4,sK9),
inference(superposition,[status(thm)],[c_32777,c_104]) ).
tcf(c_33352,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK2)
| ~ para(X0,X1,sK6,sK5) ),
inference(superposition,[status(thm)],[c_54,c_101]) ).
tcf(c_33545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(sK27(X0,X4,X5,X1),X0,X2,X3)
| ~ circle(X1,X0,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_107,c_102]) ).
tcf(c_33549,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ perp(sK6,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_32774,c_102]) ).
tcf(c_34007,plain,
perp(sK4,sK9,sK0,sK2),
inference(superposition,[status(thm)],[c_32829,c_103]) ).
tcf(c_38434,plain,
para(sK0,sK2,sK2,sK0),
inference(superposition,[status(thm)],[c_32787,c_33549]) ).
tcf(c_38598,plain,
coll(sK5,sK5,sK4),
inference(superposition,[status(thm)],[c_25000,c_90]) ).
tcf(c_39623,plain,
para(sK2,sK0,sK0,sK2),
inference(superposition,[status(thm)],[c_38434,c_124]) ).
tcf(c_40979,plain,
! [X0: $i] :
( midp(sK0,X0,sK2)
| ~ midp(sK2,X0,sK0)
| ~ coll(sK0,X0,sK2) ),
inference(superposition,[status(thm)],[c_39623,c_87]) ).
tcf(c_40992,plain,
( midp(sK0,sK0,sK2)
| ~ midp(sK2,sK0,sK0)
| ~ coll(sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_40979]) ).
tcf(c_44436,plain,
para(sK4,sK8,sK5,sK7),
inference(superposition,[status(thm)],[c_10300,c_125]) ).
tcf(c_46318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( para(X0,X7,X6,X8)
| ~ midp(sK18(X0,X1,X2,X3,X4,X5,X6),X7,X8)
| ~ midp(sK18(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_46559,plain,
! [X0: $i,X1: $i] :
( coll(sK3,X1,X0)
| ~ coll(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_46610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X3,X4,X5)
| ~ perp(X0,X3,sK27(X0,X1,X2,X3),X0)
| ~ perp(sK27(X0,X1,X2,X3),X0,X4,X5) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_46637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X4,X5,sK27(X0,X1,X2,X3),X0)
| ~ para(sK27(X0,X1,X2,X3),X0,X4,X5) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_46638,plain,
( para(sK0,sK0,sK27(sK0,sK0,sK0,sK0),sK0)
| ~ para(sK27(sK0,sK0,sK0,sK0),sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_46637]) ).
tcf(c_47248,plain,
! [X0: $i] :
( coll(sK2,X0,sK3)
| ~ coll(sK2,sK3,X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_47249,plain,
( coll(sK2,sK0,sK3)
| ~ coll(sK2,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_47248]) ).
tcf(c_47555,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK3,X1)
| ~ para(X0,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_47804,plain,
! [X0: $i,X1: $i] :
( coll(X1,X0,sK3)
| ~ coll(X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_48766,plain,
( para(sK0,sK3,sK0,sK3)
| ~ perp(sK0,sK3,sK27(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK27(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_46610]) ).
tcf(c_49138,plain,
( para(sK0,sK3,sK3,sK0)
| ~ perp(sK0,sK3,sK27(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK27(sK0,sK1,sK2,sK3),sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_46610]) ).
tcf(c_51028,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK6,sK5,X0,X1,sK6,sK5)
| ~ eqangle(sK6,sK5,X0,X1,sK6,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_51032,plain,
( eqangle(sK0,sK0,sK6,sK5,sK0,sK0,sK6,sK5)
| ~ eqangle(sK6,sK5,sK0,sK0,sK6,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_51028]) ).
tcf(c_51960,plain,
( coll(sK0,sK3,sK3)
| ~ para(sK0,sK3,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_47555]) ).
tcf(c_54920,plain,
( cyclic(sK2,sK2,sK0,sK0)
| ~ coll(sK0,sK0,sK2)
| ~ eqangle(sK0,sK2,sK0,sK2,sK0,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_55865,plain,
( para(sK3,sK0,sK0,sK3)
| ~ para(sK0,sK3,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_56690,plain,
! [X0: $i,X1: $i] :
( para(sK3,X0,sK3,X1)
| ~ para(sK3,X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_56691,plain,
( para(sK3,sK0,sK3,sK0)
| ~ para(sK3,sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_56690]) ).
tcf(c_57280,plain,
( coll(sK3,sK0,sK3)
| ~ coll(sK0,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_47804]) ).
tcf(c_58263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK6,sK5,sK6,sK5)
| ~ eqangle(X0,X1,sK6,sK5,X2,X3,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_58264,plain,
( eqangle(sK0,sK0,sK0,sK0,sK6,sK5,sK6,sK5)
| ~ eqangle(sK0,sK0,sK6,sK5,sK0,sK0,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_58263]) ).
tcf(c_59502,plain,
! [X0: $i] :
( coll(sK3,sK3,X0)
| ~ coll(sK3,X0,sK3) ),
inference(instantiation,[status(thm)],[c_46559]) ).
tcf(c_59503,plain,
( coll(sK3,sK3,sK0)
| ~ coll(sK3,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_59502]) ).
tcf(c_60124,plain,
( cong(sK8,sK1,sK8,sK0)
| ~ cong(sK8,sK0,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_60803,plain,
( cong(sK8,sK0,sK8,sK1)
| ~ midp(sK8,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_63693,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK8,sK9)
| ~ cong(X0,sK9,X1,sK9)
| ~ cong(X0,sK8,X1,sK8) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_63694,plain,
( perp(sK0,sK0,sK8,sK9)
| ~ cong(sK0,sK9,sK0,sK9)
| ~ cong(sK0,sK8,sK0,sK8) ),
inference(instantiation,[status(thm)],[c_63693]) ).
tcf(c_64943,plain,
( cyclic(sK2,sK0,sK0,sK2)
| ~ cyclic(sK2,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_65064,plain,
! [X0: $i] :
( midp(X0,sK0,sK1)
| ~ coll(X0,sK0,sK1)
| ~ cong(X0,sK0,X0,sK1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_65065,plain,
( midp(sK0,sK0,sK1)
| ~ coll(sK0,sK0,sK1)
| ~ cong(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_65064]) ).
tcf(c_66748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK8,sK9,sK7,sK6)
| ~ perp(X0,X1,X2,X3)
| ~ eqangle(sK8,sK9,sK7,sK6,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_66749,plain,
( perp(sK8,sK9,sK7,sK6)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ eqangle(sK8,sK9,sK7,sK6,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_66748]) ).
tcf(c_67287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK8,sK9,sK7,sK6,X0,X1,X2,X3)
| ~ eqangle(sK8,sK9,X0,X1,sK7,sK6,X2,X3) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_67288,plain,
( eqangle(sK8,sK9,sK7,sK6,sK0,sK0,sK0,sK0)
| ~ eqangle(sK8,sK9,sK0,sK0,sK7,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_67287]) ).
tcf(c_67856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK6)
| ~ coll(X1,X3,sK6)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_67857,plain,
( midp(sK0,sK0,sK6)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK6)
| ~ para(sK0,sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_67856]) ).
tcf(c_71655,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK1,sK2)
| ~ para(X0,X1,sK0,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_7731,c_55,c_793,c_2287,c_2292,c_2535,c_2670,c_2910,c_2909,c_5242,c_6340,c_7702,c_8694,c_9722,c_9787,c_10097,c_12128,c_13193,c_47249,c_49138,c_55865,c_56691]) ).
tcf(c_71664,plain,
perp(sK0,sK1,sK1,sK2),
inference(superposition,[status(thm)],[c_25110,c_71655]) ).
tcf(c_71777,plain,
para(sK8,sK4,sK1,sK2),
inference(superposition,[status(thm)],[c_71664,c_6881]) ).
tcf(c_71849,plain,
para(sK8,sK4,sK2,sK1),
inference(superposition,[status(thm)],[c_71777,c_125]) ).
tcf(c_72228,plain,
! [X0: $i] :
( midp(sK8,X0,sK7)
| ~ midp(sK4,X0,sK5)
| ~ coll(sK8,X0,sK7) ),
inference(superposition,[status(thm)],[c_44436,c_87]) ).
tcf(c_72240,plain,
( midp(sK8,sK0,sK7)
| ~ midp(sK4,sK0,sK5)
| ~ coll(sK8,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_72228]) ).
tcf(c_74304,plain,
para(sK2,sK1,sK8,sK4),
inference(superposition,[status(thm)],[c_71849,c_124]) ).
tcf(c_75058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(sK18(sK0,X3,X1,X2,X4,X0,sK1),sK0,sK1)
| ~ midp(X4,sK0,X3)
| ~ coll(X2,sK0,X3)
| ~ coll(X1,sK0,X3)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_75061,plain,
( midp(sK18(sK0,sK0,sK0,sK0,sK0,sK0,sK1),sK0,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_75058]) ).
tcf(c_75797,plain,
para(sK2,sK1,sK4,sK8),
inference(superposition,[status(thm)],[c_74304,c_125]) ).
tcf(c_77424,plain,
para(sK4,sK8,sK2,sK1),
inference(superposition,[status(thm)],[c_75797,c_124]) ).
tcf(c_77511,plain,
! [X0: $i,X1: $i] :
( eqangle(sK8,sK9,X0,X1,sK7,sK6,X0,X1)
| ~ para(sK8,sK9,sK7,sK6) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_77512,plain,
( eqangle(sK8,sK9,sK0,sK0,sK7,sK6,sK0,sK0)
| ~ para(sK8,sK9,sK7,sK6) ),
inference(instantiation,[status(thm)],[c_77511]) ).
tcf(c_77652,plain,
! [X0: $i] :
( midp(sK8,X0,sK1)
| ~ midp(sK4,X0,sK2)
| ~ coll(sK8,X0,sK1) ),
inference(superposition,[status(thm)],[c_77424,c_87]) ).
tcf(c_77664,plain,
( midp(sK8,sK0,sK1)
| ~ midp(sK4,sK0,sK2)
| ~ coll(sK8,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_77652]) ).
tcf(c_78845,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK6,X1)
| ~ midp(X0,X1,sK6) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_78846,plain,
( midp(sK0,sK6,sK0)
| ~ midp(sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_78845]) ).
tcf(c_87261,plain,
( cong(sK4,sK0,sK4,sK2)
| ~ midp(sK9,sK0,sK2) ),
inference(superposition,[status(thm)],[c_34007,c_99]) ).
tcf(c_91012,plain,
( cyclic(sK2,sK0,sK2,sK0)
| ~ cyclic(sK2,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_99711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK27(X1,X2,X3,X0),X1,sK0,sK2)
| ~ perp(X1,X0,sK6,sK5)
| ~ circle(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_33545,c_33352]) ).
tcf(c_101663,plain,
coll(sK6,sK4,sK5),
inference(superposition,[status(thm)],[c_38598,c_11090]) ).
tcf(c_102040,plain,
coll(sK4,sK6,sK5),
inference(superposition,[status(thm)],[c_101663,c_89]) ).
tcf(c_104587,plain,
coll(sK4,sK5,sK6),
inference(superposition,[status(thm)],[c_102040,c_90]) ).
tcf(c_108299,plain,
! [X0: $i] :
( coll(sK6,X0,sK4)
| ~ coll(sK4,sK5,X0) ),
inference(superposition,[status(thm)],[c_104587,c_88]) ).
tcf(c_108305,plain,
( coll(sK6,sK0,sK4)
| ~ coll(sK4,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_108299]) ).
tcf(c_108584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,sK0,sK2)
| ~ perp(X2,X5,sK6,sK5)
| ~ circle(X5,X2,X3,X4)
| ~ para(X0,X1,sK27(X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_99711,c_101]) ).
tcf(c_108624,plain,
( perp(sK0,sK0,sK0,sK2)
| ~ circle(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK6,sK5)
| ~ para(sK0,sK0,sK27(sK0,sK0,sK0,sK0),sK0) ),
inference(instantiation,[status(thm)],[c_108584]) ).
tcf(c_111498,plain,
( midp(sK4,sK0,sK2)
| ~ midp(sK9,sK0,sK2)
| ~ coll(sK4,sK0,sK2) ),
inference(superposition,[status(thm)],[c_87261,c_84]) ).
tcf(c_112913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(sK0,sK0,sK1,sK1)
| ~ midp(sK18(sK0,X0,X1,X2,X3,X4,sK1),sK0,sK1) ),
inference(instantiation,[status(thm)],[c_46318]) ).
tcf(c_112914,plain,
( para(sK0,sK0,sK1,sK1)
| ~ midp(sK18(sK0,sK0,sK0,sK0,sK0,sK0,sK1),sK0,sK1) ),
inference(instantiation,[status(thm)],[c_112913]) ).
tcf(c_113081,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK0,sK2,sK0)
| ~ cyclic(sK2,sK0,X0,sK2)
| ~ cyclic(sK2,sK0,X0,sK0)
| ~ cyclic(sK2,sK0,X0,X1)
| ~ eqangle(X0,sK2,X0,sK0,X1,sK2,X1,sK0) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_113082,plain,
( cong(sK2,sK0,sK2,sK0)
| ~ cyclic(sK2,sK0,sK0,sK2)
| ~ cyclic(sK2,sK0,sK0,sK0)
| ~ eqangle(sK0,sK2,sK0,sK0,sK0,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_113081]) ).
tcf(c_123606,plain,
midp(sK2,sK0,sK2),
inference(global_subsumption_just,[status(thm)],[c_26561,c_55,c_54,c_159,c_2292,c_2296,c_2669,c_2670,c_3050,c_4632,c_4855,c_4860,c_5242,c_10075,c_14429,c_24381,c_31547,c_51032,c_58264]) ).
tcf(c_123609,plain,
! [X0: $i,X1: $i] :
( para(sK0,X0,sK2,X1)
| ~ midp(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_123606,c_119]) ).
tcf(c_123616,plain,
( para(sK0,sK0,sK2,sK0)
| ~ midp(sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_123609]) ).
tcf(c_125460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK8,sK9,X2,X3)
| ~ eqangle(sK8,sK9,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_125462,plain,
! [X0: $i,X1: $i] :
( para(sK8,sK9,X0,X1)
| ~ para(X0,X1,sK8,sK9) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_125464,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK8,sK9,X1,X2)
| ~ midp(sK9,X0,X2)
| ~ midp(sK8,X0,X1) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_125566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK8,sK9)
| ~ para(X2,X3,sK8,sK9)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_125568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK8,sK9)
| ~ perp(X2,X3,sK8,sK9)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_125569,plain,
( para(sK0,sK0,sK8,sK9)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK8,sK9) ),
inference(instantiation,[status(thm)],[c_125568]) ).
tcf(c_125616,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK9,X1)
| ~ coll(X0,sK9,X1)
| ~ cong(X0,sK9,X0,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_125649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK8,sK9,X2,X3,X0,X1,X2,X3)
| ~ para(sK8,sK9,X0,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_125655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK8,sK9,X0,X1,X2,X3,X0,X1)
| ~ eqangle(X0,X1,sK8,sK9,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_126354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK9,sK8,X2,X3)
| ~ eqangle(sK9,sK8,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_126396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK6)
| ~ coll(X1,X3,sK6)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_126564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK8)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK8,X2,X1)
| ~ para(X0,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_126625,plain,
coll(sK8,sK1,sK0),
inference(superposition,[status(thm)],[c_59,c_90]) ).
tcf(c_126854,plain,
! [X0: $i] :
( midp(X0,sK9,sK9)
| ~ coll(X0,sK9,sK9)
| ~ cong(X0,sK9,X0,sK9) ),
inference(instantiation,[status(thm)],[c_125616]) ).
tcf(c_126856,plain,
( midp(sK0,sK9,sK9)
| ~ coll(sK0,sK9,sK9)
| ~ cong(sK0,sK9,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_126854]) ).
tcf(c_127673,plain,
! [X0: $i,X1: $i] :
( eqangle(sK8,sK9,X0,X1,sK8,sK9,X0,X1)
| ~ eqangle(X0,X1,sK8,sK9,X0,X1,sK8,sK9) ),
inference(instantiation,[status(thm)],[c_125655]) ).
tcf(c_127674,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK8,sK9,X0,X1,sK8,sK9)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_127675,plain,
( eqangle(sK8,sK9,sK0,sK0,sK8,sK9,sK0,sK0)
| ~ eqangle(sK0,sK0,sK8,sK9,sK0,sK0,sK8,sK9) ),
inference(instantiation,[status(thm)],[c_127673]) ).
tcf(c_127676,plain,
( eqangle(sK0,sK0,sK8,sK9,sK0,sK0,sK8,sK9)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_127674]) ).
tcf(c_128012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK9,sK8,X0,X1,X2,X3,X0,X1)
| ~ eqangle(X0,X1,sK9,sK8,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_128234,plain,
! [X0: $i,X1: $i] :
( perp(X0,sK9,X0,X1)
| ~ perp(X0,X1,X0,sK9) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_128235,plain,
( perp(sK0,sK9,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_128234]) ).
tcf(c_128284,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK9,X0,X1,X0,sK9)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_128285,plain,
( eqangle(sK0,sK0,sK0,sK9,sK0,sK0,sK0,sK9)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_128284]) ).
tcf(c_128435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X3,sK6)
| ~ cyclic(X0,X1,X2,sK6)
| ~ cyclic(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_128437,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK6)
| ~ cyclic(X0,X1,sK6,X2) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_128438,plain,
( cyclic(sK0,sK0,sK0,sK6)
| ~ cyclic(sK0,sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_128437]) ).
tcf(c_131589,plain,
( cong(sK8,sK0,sK8,sK1)
| ~ midp(sK4,sK0,sK1) ),
inference(superposition,[status(thm)],[c_58,c_99]) ).
tcf(c_131784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,sK9,X3,sK9)
| ~ cyclic(X1,sK9,X0,sK9)
| ~ cyclic(X1,sK9,X0,X3)
| ~ cyclic(X1,sK9,X0,X2)
| ~ eqangle(X0,X1,X0,sK9,X2,X3,X2,sK9) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_131785,plain,
( cong(sK0,sK9,sK0,sK9)
| ~ cyclic(sK0,sK9,sK0,sK0)
| ~ cyclic(sK0,sK9,sK0,sK9)
| ~ eqangle(sK0,sK0,sK0,sK9,sK0,sK0,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_131784]) ).
tcf(c_132214,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X0,sK9)
| ~ cong(X0,sK9,X1,sK9)
| ~ cong(X0,X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_132215,plain,
( perp(sK0,sK0,sK0,sK9)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK9,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_132214]) ).
tcf(c_132270,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK6,X2)
| ~ cyclic(X0,sK6,X1,X2) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_132271,plain,
( cyclic(sK0,sK0,sK6,sK0)
| ~ cyclic(sK0,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_132270]) ).
tcf(c_132508,plain,
! [X0: $i] :
( cong(X0,sK8,X0,sK8)
| ~ midp(X0,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_132509,plain,
( cong(sK0,sK8,sK0,sK8)
| ~ midp(sK0,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_132508]) ).
tcf(c_132601,plain,
( cong(sK8,sK1,sK8,sK0)
| ~ midp(sK4,sK0,sK1) ),
inference(superposition,[status(thm)],[c_131589,c_129]) ).
tcf(c_134387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK8,X3,X2)
| ~ coll(sK8,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_134388,plain,
( midp(sK8,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK8,sK0,sK0)
| ~ para(sK0,sK8,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_134387]) ).
tcf(c_134446,plain,
! [X0: $i,X1: $i] :
( para(sK8,sK9,sK8,sK9)
| ~ eqangle(sK8,sK9,X0,X1,sK8,sK9,X0,X1) ),
inference(instantiation,[status(thm)],[c_125460]) ).
tcf(c_134447,plain,
( para(sK8,sK9,sK8,sK9)
| ~ eqangle(sK8,sK9,sK0,sK0,sK8,sK9,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_134446]) ).
tcf(c_134575,plain,
( para(sK9,sK8,sK9,sK8)
| ~ eqangle(sK9,sK8,sK8,sK9,sK9,sK8,sK8,sK9) ),
inference(instantiation,[status(thm)],[c_126354]) ).
tcf(c_134623,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,sK6,X1,X2)
| ~ midp(X0,sK6,X2)
| ~ midp(X0,X1,X1) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_134624,plain,
( para(sK0,sK6,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ midp(sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_134623]) ).
tcf(c_134896,plain,
! [X0: $i,X1: $i] :
( eqangle(sK8,sK9,X0,X1,sK8,sK9,X0,X1)
| ~ para(sK8,sK9,sK8,sK9) ),
inference(instantiation,[status(thm)],[c_125649]) ).
tcf(c_135904,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK9,X0,X2)
| ~ coll(X0,X2,sK9)
| ~ eqangle(X0,X1,X0,sK9,X2,X1,X2,sK9) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_135905,plain,
( cyclic(sK0,sK9,sK0,sK0)
| ~ coll(sK0,sK0,sK9)
| ~ eqangle(sK0,sK0,sK0,sK9,sK0,sK0,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_135904]) ).
tcf(c_138777,plain,
( eqangle(sK9,sK8,sK8,sK9,sK9,sK8,sK8,sK9)
| ~ eqangle(sK8,sK9,sK9,sK8,sK8,sK9,sK9,sK8) ),
inference(instantiation,[status(thm)],[c_128012]) ).
tcf(c_138778,plain,
( eqangle(sK8,sK9,sK9,sK8,sK8,sK9,sK9,sK8)
| ~ para(sK8,sK9,sK8,sK9) ),
inference(instantiation,[status(thm)],[c_134896]) ).
tcf(c_139879,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK6,X0,X1,X0,sK6)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_139880,plain,
( eqangle(sK0,sK0,sK0,sK6,sK0,sK0,sK0,sK6)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_139879]) ).
tcf(c_144275,plain,
( coll(sK4,sK0,sK2)
| ~ coll(sK4,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_148597,plain,
! [X0: $i] :
( midp(X0,sK8,sK8)
| ~ midp(X0,sK9,sK9)
| ~ para(sK9,sK8,sK9,sK8) ),
inference(instantiation,[status(thm)],[c_126564]) ).
tcf(c_148598,plain,
( midp(sK0,sK8,sK8)
| ~ midp(sK0,sK9,sK9)
| ~ para(sK9,sK8,sK9,sK8) ),
inference(instantiation,[status(thm)],[c_148597]) ).
tcf(c_152523,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK9,sK9)
| ~ cyclic(X0,X1,X2,sK9) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_152524,plain,
( cyclic(sK0,sK0,sK9,sK9)
| ~ cyclic(sK0,sK0,sK0,sK9) ),
inference(instantiation,[status(thm)],[c_152523]) ).
tcf(c_153026,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK6,X0,X2)
| ~ coll(X0,X2,sK6)
| ~ eqangle(X0,X1,X0,sK6,X2,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_153027,plain,
( cyclic(sK0,sK6,sK0,sK0)
| ~ coll(sK0,sK0,sK6)
| ~ eqangle(sK0,sK0,sK0,sK6,sK0,sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_153026]) ).
tcf(c_153590,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X2,X1,sK9)
| ~ cyclic(X0,X1,X2,sK9) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_153595,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK9)
| ~ cyclic(X0,X1,sK9,X2) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_153596,plain,
( cyclic(sK0,sK0,sK0,sK9)
| ~ cyclic(sK0,sK0,sK9,sK0) ),
inference(instantiation,[status(thm)],[c_153595]) ).
tcf(c_154254,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,X1,sK6,sK6)
| ~ cyclic(X0,X1,X1,sK6) ),
inference(instantiation,[status(thm)],[c_128435]) ).
tcf(c_154255,plain,
( cyclic(sK0,sK0,sK6,sK6)
| ~ cyclic(sK0,sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_154254]) ).
tcf(c_155587,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK9,X2)
| ~ cyclic(X0,sK9,X1,X2) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_155588,plain,
( cyclic(sK0,sK0,sK9,sK0)
| ~ cyclic(sK0,sK9,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_155587]) ).
tcf(c_155741,plain,
! [X0: $i] :
( coll(sK4,sK2,sK0)
| ~ coll(sK0,X0,sK4)
| ~ coll(sK0,X0,sK2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_155742,plain,
( coll(sK4,sK2,sK0)
| ~ coll(sK0,sK0,sK4)
| ~ coll(sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_155741]) ).
tcf(c_156051,plain,
! [X0: $i,X1: $i] :
( midp(sK2,X0,X1)
| ~ coll(sK2,X0,X1)
| ~ cong(sK2,X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_156052,plain,
( midp(sK2,sK0,sK0)
| ~ coll(sK2,sK0,sK0)
| ~ cong(sK2,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_156051]) ).
tcf(c_161016,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK9,X1,sK9)
| ~ cyclic(X0,X1,sK9,sK9) ),
inference(instantiation,[status(thm)],[c_153590]) ).
tcf(c_161017,plain,
( cyclic(sK0,sK9,sK0,sK9)
| ~ cyclic(sK0,sK0,sK9,sK9) ),
inference(instantiation,[status(thm)],[c_161016]) ).
tcf(c_161499,plain,
cong(sK8,sK1,sK8,sK0),
inference(global_subsumption_just,[status(thm)],[c_132601,c_61,c_59,c_55,c_53,c_54,c_159,c_161,c_163,c_793,c_2287,c_2291,c_2292,c_2295,c_2296,c_2300,c_2357,c_2535,c_2643,c_2670,c_2750,c_2751,c_2834,c_2910,c_3045,c_3050,c_3177,c_3904,c_4179,c_4471,c_4855,c_4860,c_5235,c_5242,c_5321,c_6357,c_6872,c_10075,c_10092,c_10096,c_11971,c_12831,c_14429,c_20582,c_20587,c_31547,c_46638,c_48766,c_51032,c_51960,c_54920,c_57280,c_58264,c_59503,c_60124,c_60803,c_64943,c_77664,c_91012,c_108305,c_108624,c_111498,c_113082,c_123616,c_128235,c_128285,c_131785,c_132215,c_135905,c_144275,c_152524,c_153596,c_155588,c_155742,c_156052,c_161017]) ).
tcf(c_161506,plain,
( midp(sK8,sK1,sK0)
| ~ coll(sK8,sK1,sK0) ),
inference(superposition,[status(thm)],[c_161499,c_84]) ).
tcf(c_161510,plain,
midp(sK8,sK1,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_161506,c_126625]) ).
tcf(c_161613,plain,
! [X0: $i,X1: $i] :
( para(X0,sK8,X1,sK0)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_161510,c_120]) ).
tcf(c_161622,plain,
( para(sK0,sK8,sK0,sK0)
| ~ midp(sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_161613]) ).
tcf(c_161895,plain,
! [X0: $i] :
( para(sK8,sK9,X0,sK6)
| ~ para(X0,sK6,sK8,sK9) ),
inference(instantiation,[status(thm)],[c_125462]) ).
tcf(c_161896,plain,
! [X0: $i,X1: $i] :
( midp(sK9,X1,sK6)
| ~ coll(sK9,X1,sK6)
| ~ midp(sK8,X1,X0)
| ~ para(sK8,sK9,X0,sK6) ),
inference(instantiation,[status(thm)],[c_126396]) ).
tcf(c_161897,plain,
( para(sK8,sK9,sK0,sK6)
| ~ para(sK0,sK6,sK8,sK9) ),
inference(instantiation,[status(thm)],[c_161895]) ).
tcf(c_161898,plain,
( midp(sK9,sK0,sK6)
| ~ midp(sK8,sK0,sK0)
| ~ coll(sK9,sK0,sK6)
| ~ para(sK8,sK9,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_161896]) ).
tcf(c_164315,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK6,sK8,sK9)
| ~ para(X1,X2,sK8,sK9)
| ~ para(X0,sK6,X1,X2) ),
inference(instantiation,[status(thm)],[c_125566]) ).
tcf(c_164321,plain,
( para(sK0,sK6,sK8,sK9)
| ~ para(sK0,sK0,sK8,sK9)
| ~ para(sK0,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_164315]) ).
tcf(c_164533,plain,
! [X0: $i] :
( para(sK8,sK9,sK7,sK6)
| ~ midp(sK9,X0,sK6)
| ~ midp(sK8,X0,sK7) ),
inference(instantiation,[status(thm)],[c_125464]) ).
tcf(c_164534,plain,
( para(sK8,sK9,sK7,sK6)
| ~ midp(sK9,sK0,sK6)
| ~ midp(sK8,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_164533]) ).
tcf(c_174694,plain,
perp(sK0,sK2,sK6,sK5),
inference(superposition,[status(thm)],[c_54,c_103]) ).
tcf(c_174785,plain,
! [X0: $i] :
( coll(sK2,X0,sK6)
| ~ coll(sK6,sK0,X0) ),
inference(superposition,[status(thm)],[c_55,c_88]) ).
tcf(c_174879,plain,
coll(sK2,sK2,sK6),
inference(superposition,[status(thm)],[c_55,c_174785]) ).
tcf(c_174881,plain,
coll(sK2,sK6,sK2),
inference(superposition,[status(thm)],[c_174879,c_90]) ).
tcf(c_175330,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ perp(sK6,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_174694,c_102]) ).
tcf(c_179352,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_54,c_175330]) ).
tcf(c_179359,plain,
! [X0: $i] :
( midp(sK2,X0,sK2)
| ~ midp(sK0,X0,sK0)
| ~ coll(sK2,X0,sK2) ),
inference(superposition,[status(thm)],[c_179352,c_87]) ).
tcf(c_181263,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X2,X1,sK6)
| ~ cong(X0,sK6,X2,sK6)
| ~ cong(X0,X1,X2,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_181264,plain,
( perp(sK0,sK0,sK0,sK6)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_181263]) ).
tcf(c_182627,plain,
( midp(sK2,sK6,sK2)
| ~ midp(sK0,sK6,sK0) ),
inference(superposition,[status(thm)],[c_174881,c_179359]) ).
tcf(c_184992,plain,
~ midp(sK0,sK6,sK0),
inference(global_subsumption_just,[status(thm)],[c_182627,c_61,c_59,c_57,c_55,c_53,c_54,c_49,c_159,c_163,c_793,c_2287,c_2291,c_2292,c_2293,c_2294,c_2295,c_2296,c_2535,c_2643,c_2670,c_2723,c_2724,c_2750,c_2751,c_2910,c_2909,c_3045,c_3050,c_3177,c_3904,c_3905,c_4153,c_4179,c_4855,c_4860,c_5242,c_5256,c_5319,c_5321,c_6340,c_6357,c_8694,c_9722,c_9787,c_10075,c_10097,c_12128,c_13011,c_13193,c_14429,c_15334,c_18707,c_20512,c_20582,c_20587,c_25255,c_26720,c_31547,c_40992,c_47249,c_48766,c_49138,c_51032,c_51960,c_54920,c_55865,c_56691,c_57280,c_58264,c_59503,c_63694,c_64943,c_65065,c_66749,c_67288,c_72240,c_75061,c_77512,c_91012,c_112914,c_113082,c_125569,c_126856,c_127675,c_127676,c_128285,c_131785,c_132509,c_134388,c_134447,c_134575,c_134624,c_135905,c_138777,c_138778,c_148598,c_152524,c_153596,c_155588,c_156052,c_161017,c_161622,c_161897,c_161898,c_164321,c_164534]) ).
tcf(c_191438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,sK6,X3,sK6)
| ~ cyclic(X1,sK6,X0,sK6)
| ~ cyclic(X1,sK6,X0,X3)
| ~ cyclic(X1,sK6,X0,X2)
| ~ eqangle(X0,X1,X0,sK6,X2,X3,X2,sK6) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_191439,plain,
( cong(sK0,sK6,sK0,sK6)
| ~ cyclic(sK0,sK6,sK0,sK0)
| ~ cyclic(sK0,sK6,sK0,sK6)
| ~ eqangle(sK0,sK0,sK0,sK6,sK0,sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_191438]) ).
tcf(c_193924,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK6,X1,sK6)
| ~ cyclic(X0,X1,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_193925,plain,
( cyclic(sK0,sK6,sK0,sK6)
| ~ cyclic(sK0,sK0,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_193924]) ).
tcf(c_193926,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_193925,c_191439,c_184992,c_181264,c_154255,c_153027,c_139880,c_132271,c_128438,c_78846,c_67857,c_58264,c_51032,c_31547,c_14429,c_12849,c_10075,c_5242,c_4860,c_4855,c_3050,c_2670,c_2296,c_2292,c_163,c_159,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO630+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 12:37:34 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.39 Running first-order theorem proving
% 0.08/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 66.86/15.45 % SZS status Started for theBenchmark.p
% 66.86/15.45 % SZS status Theorem for theBenchmark.p
% 66.86/15.45
% 66.86/15.45 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 66.86/15.45
% 66.86/15.45 % ------ iProver source info
% 66.86/15.45
% 66.86/15.45 % git: date: 2026-07-19 20:42:38 +0200
% 66.86/15.45 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 66.86/15.45 % git: non_committed_changes: false
% 66.86/15.45
% 66.86/15.45 % ------ Parsing...
% 66.86/15.45 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 66.86/15.45
% 66.86/15.45 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 66.86/15.45
% 66.86/15.45 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 66.86/15.45 % ------ Proving...
% 66.86/15.45 % ------ Problem Properties
% 66.86/15.45
% 66.86/15.45 %
% 66.86/15.45 % clauses 100
% 66.86/15.45 % conjectures 13
% 66.86/15.45 % EPR 67
% 66.86/15.45 % Horn 95
% 66.86/15.45 % unary 13
% 66.86/15.45 % binary 24
% 66.86/15.45 % lits 269
% 66.86/15.45 % lits eq 0
% 66.86/15.45 % fd_pure 0
% 66.86/15.45 % fd_pseudo 0
% 66.86/15.45 % fd_cond 0
% 66.86/15.45 % fd_pseudo_cond 0
% 66.86/15.45 % AC symbols 0
% 66.86/15.45
% 66.86/15.45 % ------ Schedule dynamic 5 is on
% 66.86/15.45
% 66.86/15.45 % ------ no equalities: superposition off
% 66.86/15.45
% 66.86/15.45 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 66.86/15.45
% 66.86/15.45
% 66.86/15.45 % ------
% 66.86/15.45 % Current options:
% 66.86/15.45 % ------
% 66.86/15.45
% 66.86/15.45
% 66.86/15.45 %
% 66.86/15.45
% 66.86/15.45 % ------ Proving...
% 66.86/15.45 % Proof_search_loop: time out after: 8259 full_loop iterations
% 66.86/15.45
% 66.86/15.45 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 66.86/15.45
% 66.86/15.45
% 66.86/15.45 % ------
% 66.86/15.45 % Current options:
% 66.86/15.45 % ------
% 66.86/15.45
% 66.86/15.45
% 66.86/15.45 %
% 66.86/15.45
% 66.86/15.45 % ------ Proving...
% 66.86/15.45 %
% 66.86/15.45
% 66.86/15.45 % SZS status Theorem for theBenchmark.p
% 66.86/15.45
% 66.86/15.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 66.86/15.46
% 66.86/15.46
%------------------------------------------------------------------------------