%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO599+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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:35 PM UTC 2026
% Result : Theorem 72.21s 18.48s
% Output : CNFRefutation 72.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f353ERROR: Could not build tree for root c_315923ERROR: MakeTreeStats fails)
% 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(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
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(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
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(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) ),
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(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(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(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f50,axiom,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD49) ).
fof(f51,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(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] :
( ( circle(X5,X0,X6,X9)
& coll(X6,X1,X2)
& circle(X5,X0,X7,X8)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) )
=> ( eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
& ( eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
| eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
& ( eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
| eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
& ( eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
| eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
& ( eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
| eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
& ( eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
| eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
& eqangle(X3,X0,X0,X5,X2,X0,X0,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618061) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X5,X0,X6,X9)
& coll(X6,X1,X2)
& circle(X5,X0,X7,X8)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2) )
=> ( eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
& ( eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
| eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
& ( eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
| eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
& ( eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
| eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
& ( eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
| eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
& ( eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
| eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
& eqangle(X3,X0,X0,X5,X2,X0,X0,X6) ) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( circle(X5,X0,X6,X9)
& coll(X6,X1,X2)
& circle(X5,X0,X7,X8)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2)
& ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
| ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( circle(X5,X0,X6,X9)
& coll(X6,X1,X2)
& circle(X5,X0,X7,X8)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2)
& ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
| ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) ) ),
inference(flattening,[],[f98]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
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] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f137,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(f138,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,[],[f137]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f153]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(ennf_transformation,[],[f51]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(ennf_transformation,[],[f50]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(flattening,[],[f159]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(flattening,[],[f161]) ).
fof(f163,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(f164,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f163]) ).
fof(f165,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(f166,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,[],[f165]) ).
fof(f167,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(f168,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,[],[f167]) ).
fof(f174,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(f175,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(f176,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ 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(ennf_transformation,[],[f22]) ).
fof(f177,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ 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(flattening,[],[f176]) ).
fof(f178,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(f179,plain,
! [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) ),
inference(ennf_transformation,[],[f20]) ).
fof(f180,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(f181,plain,
! [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) ),
inference(ennf_transformation,[],[f18]) ).
fof(f184,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(f185,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f184]) ).
fof(f186,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(f187,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f186]) ).
fof(f188,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(f189,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f188]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f192,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(f193,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
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(f212,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f215,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
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(f218,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f218]) ).
fof(f223,plain,
! [X2,X6,X0,X5,X3] :
( ~ sP1(X2,X6,X0,X5,X3)
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) ) ),
inference(nnf_transformation,[],[f221]) ).
fof(f224,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP1(X0,X1,X2,X3,X4)
| ( ~ eqangle(X4,X2,X2,X3,X2,X1,X1,X0)
& ~ eqangle(X2,X4,X4,X3,X2,X1,X1,X0) ) ),
inference(rectify,[],[f223]) ).
fof(f227,plain,
( circle(sK7,sK2,sK8,sK11)
& coll(sK8,sK3,sK4)
& circle(sK7,sK2,sK9,sK10)
& coll(sK7,sK5,sK6)
& midp(sK6,sK3,sK2)
& circle(sK5,sK2,sK3,sK4)
& ( ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK4,sK4,sK8)
| sP0(sK8,sK2,sK4,sK7,sK5)
| sP1(sK4,sK8,sK2,sK7,sK5)
| ( ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK4,sK4,sK8)
& ~ eqangle(sK2,sK5,sK5,sK7,sK4,sK2,sK2,sK8) )
| ( ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK4,sK4,sK8)
& ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK8,sK8,sK4) )
| ( ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8)
& ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK4,sK4,sK8) )
| ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6),skolemize(X5,sK7),skolemize(X6,sK8),skolemize(X7,sK9),skolemize(X8,sK10),skolemize(X9,sK11)],[f222]) ).
fof(f243,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))],[f152]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0,X1,X2,X3,X4)
| ~ eqangle(X4,X2,X2,X3,X2,X1,X1,X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f250,plain,
circle(sK7,sK2,sK8,sK11),
inference(cnf_transformation,[],[f227]) ).
fof(f251,plain,
coll(sK8,sK3,sK4),
inference(cnf_transformation,[],[f227]) ).
fof(f252,plain,
circle(sK7,sK2,sK9,sK10),
inference(cnf_transformation,[],[f227]) ).
fof(f253,plain,
coll(sK7,sK5,sK6),
inference(cnf_transformation,[],[f227]) ).
fof(f254,plain,
midp(sK6,sK3,sK2),
inference(cnf_transformation,[],[f227]) ).
fof(f255,plain,
circle(sK5,sK2,sK3,sK4),
inference(cnf_transformation,[],[f227]) ).
fof(f285,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f286,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f289,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(f290,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f298,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,[],[f138]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f144]) ).
fof(f302,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f146]) ).
fof(f303,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK27(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(cnf_transformation,[],[f158]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(cnf_transformation,[],[f160]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f313,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,[],[f166]) ).
fof(f314,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,[],[f168]) ).
fof(f318,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f174]) ).
fof(f319,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f320,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,[],[f177]) ).
fof(f321,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,[],[f178]) ).
fof(f322,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,[],[f179]) ).
fof(f323,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,[],[f180]) ).
fof(f324,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,[],[f181]) ).
fof(f328,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,[],[f185]) ).
fof(f329,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,[],[f187]) ).
fof(f330,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,[],[f189]) ).
fof(f331,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f191]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f193]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f335,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f197]) ).
fof(f337,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f338,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f343,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(f344,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(f346,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f348,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f215]) ).
fof(f349,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f216]) ).
fof(f350,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f217]) ).
fof(f351,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ sP1(X4,X3,X1,X2,X0)
| ~ eqangle(X0,X1,X1,X2,X1,X3,X3,X4) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_54,negated_conjecture,
( sP0(sK8,sK2,sK4,sK7,sK5)
| sP1(sK4,sK8,sK2,sK7,sK5)
| ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK8,sK8,sK4)
| ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK4,sK4,sK8) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_60,negated_conjecture,
( sP0(sK8,sK2,sK4,sK7,sK5)
| sP1(sK4,sK8,sK2,sK7,sK5)
| ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK4,sK4,sK8) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_61,negated_conjecture,
circle(sK5,sK2,sK3,sK4),
inference(cnf_transformation,[],[f255]) ).
tcf(c_62,negated_conjecture,
midp(sK6,sK3,sK2),
inference(cnf_transformation,[],[f254]) ).
tcf(c_63,negated_conjecture,
coll(sK7,sK5,sK6),
inference(cnf_transformation,[],[f253]) ).
tcf(c_64,negated_conjecture,
circle(sK7,sK2,sK9,sK10),
inference(cnf_transformation,[],[f252]) ).
tcf(c_65,negated_conjecture,
coll(sK8,sK3,sK4),
inference(cnf_transformation,[],[f251]) ).
tcf(c_66,negated_conjecture,
circle(sK7,sK2,sK8,sK11),
inference(cnf_transformation,[],[f250]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_101,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,[],[f298]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X3,X1,X4,X2)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_103,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,[],[f300]) ).
tcf(c_104,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,[],[f301]) ).
tcf(c_105,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,[],[f302]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_109,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,[],[f306]) ).
tcf(c_110,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,[],[f307]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X0,X2,X0,X4)
| ~ midp(X4,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X4,X0,X0,X1)
| ~ circle(X4,X0,X2,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X4,X1,X2,X3,X1,X3,X2)
| ~ perp(X0,X1,X1,X4)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_116,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,[],[f313]) ).
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,[],[f314]) ).
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,[],[f318]) ).
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,[],[f319]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X8,X9,X10,X11,X4,X5,X6,X7)
| ~ eqangle(X8,X9,X10,X11,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_124,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,[],[f321]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_126,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,[],[f323]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X4,X5,X2,X3)
| ~ perp(X4,X5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_136,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,[],[f333]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X4,X5,X2,X3)
| ~ cong(X4,X5,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_146,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,[],[f343]) ).
tcf(c_147,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,[],[f344]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X4,X2,X3)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_157,plain,
( coll(sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_160,plain,
( eqangle(sK2,sK2,sK2,sK2,sK2,sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_164,plain,
( midp(sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_166,plain,
( perp(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_168,plain,
( circle(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_174,plain,
( cyclic(sK2,sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ eqangle(sK2,sK2,sK2,sK2,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_208,plain,
( cong(sK2,sK2,sK2,sK2)
| ~ cyclic(sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK2,sK2,sK2,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_216,plain,
( sP0(sK8,sK2,sK4,sK7,sK5)
| sP1(sK4,sK8,sK2,sK7,sK5)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8)
| ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK4,sK4,sK8) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_60]) ).
tcf(c_217,negated_conjecture,
( sP0(sK8,sK2,sK4,sK7,sK5)
| sP1(sK4,sK8,sK2,sK7,sK5)
| ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK4,sK4,sK8) ),
inference(renaming,[status(thm)],[c_216]) ).
tcf(c_794,plain,
( sP0(sK8,sK2,sK4,sK7,sK5)
| ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK8,sK8,sK4)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK4,sK4,sK8) ),
inference(resolution,[status(thm)],[c_50,c_217]) ).
tcf(c_859,plain,
! [X0: $i] :
( perp(sK5,sK2,sK2,X0)
| ~ eqangle(sK2,X0,sK2,sK3,sK4,sK2,sK4,sK3) ),
inference(resolution,[status(thm)],[c_61,c_113]) ).
tcf(c_860,plain,
( perp(sK5,sK2,sK2,sK2)
| ~ eqangle(sK2,sK2,sK2,sK3,sK4,sK2,sK4,sK3) ),
inference(instantiation,[status(thm)],[c_859]) ).
tcf(c_890,plain,
perp(sK27(sK2,sK9,sK10,sK7),sK2,sK2,sK7),
inference(resolution,[status(thm)],[c_64,c_109]) ).
tcf(c_913,plain,
! [X0: $i] :
( eqangle(sK2,X0,sK2,sK8,sK11,sK2,sK11,sK8)
| ~ perp(sK7,sK2,sK2,X0) ),
inference(resolution,[status(thm)],[c_66,c_114]) ).
tcf(c_914,plain,
( eqangle(sK2,sK2,sK2,sK8,sK11,sK2,sK11,sK8)
| ~ perp(sK7,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_913]) ).
tcf(c_2368,plain,
( coll(sK6,sK3,sK2)
| ~ midp(sK6,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_2371,plain,
( coll(sK7,sK6,sK5)
| ~ coll(sK7,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_2373,plain,
( midp(sK6,sK2,sK3)
| ~ midp(sK6,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_2374,plain,
( cong(sK6,sK3,sK6,sK2)
| ~ midp(sK6,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2375,plain,
! [X0: $i] :
( coll(sK6,X0,sK7)
| ~ coll(sK7,sK5,sK6)
| ~ coll(sK7,sK5,X0) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_2381,plain,
! [X0: $i,X1: $i] :
( para(X0,sK3,X1,sK2)
| ~ midp(sK6,sK3,sK2)
| ~ midp(sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2382,plain,
( para(sK2,sK3,sK2,sK2)
| ~ midp(sK6,sK3,sK2)
| ~ midp(sK6,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_2381]) ).
tcf(c_2383,plain,
! [X0: $i,X1: $i] :
( para(X0,sK6,X1,sK2)
| ~ midp(sK6,sK3,sK2)
| ~ midp(X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_2384,plain,
( para(sK2,sK6,sK2,sK2)
| ~ midp(sK6,sK3,sK2)
| ~ midp(sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_2383]) ).
tcf(c_2396,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK3,X1)
| ~ midp(sK6,sK3,sK2)
| ~ coll(X0,sK3,X1)
| ~ para(sK6,X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_2397,plain,
( midp(sK2,sK3,sK2)
| ~ coll(sK2,sK3,sK2)
| ~ midp(sK6,sK3,sK2)
| ~ para(sK6,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_2396]) ).
tcf(c_2458,plain,
! [X0: $i] :
( coll(sK2,X0,sK6)
| ~ coll(sK6,sK3,sK2)
| ~ coll(sK6,sK3,X0) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_2461,plain,
( coll(sK2,sK2,sK6)
| ~ coll(sK6,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_2458]) ).
tcf(c_2515,plain,
! [X0: $i] :
( coll(sK5,X0,sK7)
| ~ coll(sK7,sK6,sK5)
| ~ coll(sK7,sK6,X0) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_2518,plain,
( coll(sK5,sK2,sK7)
| ~ coll(sK7,sK6,sK2)
| ~ coll(sK7,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_2515]) ).
tcf(c_2552,plain,
( cong(sK6,sK2,sK6,sK3)
| ~ midp(sK6,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2567,plain,
! [X0: $i] :
( cong(X0,sK2,X0,sK3)
| ~ midp(sK6,sK2,sK3)
| ~ perp(X0,sK6,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_2568,plain,
( cong(sK2,sK2,sK2,sK3)
| ~ midp(sK6,sK2,sK3)
| ~ perp(sK2,sK6,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_2567]) ).
tcf(c_2596,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK6,sK2)
| ~ cong(sK6,sK3,sK6,sK2)
| ~ cong(X0,X1,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_2622,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK2,sK7)
| ~ perp(sK27(sK2,sK9,sK10,sK7),sK2,sK2,sK7)
| ~ perp(X0,X1,sK27(sK2,sK9,sK10,sK7),sK2) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_2624,plain,
( perp(sK2,sK7,sK27(sK2,sK9,sK10,sK7),sK2)
| ~ perp(sK27(sK2,sK9,sK10,sK7),sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_2636,plain,
( coll(sK6,sK6,sK7)
| ~ coll(sK7,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_2375]) ).
tcf(c_2656,plain,
( para(sK3,sK3,sK2,sK2)
| ~ midp(sK6,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_2381]) ).
tcf(c_2697,plain,
! [X0: $i] :
( coll(sK7,X0,sK6)
| ~ coll(sK6,sK6,sK7)
| ~ coll(sK6,sK6,X0) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_2700,plain,
( coll(sK7,sK2,sK6)
| ~ coll(sK6,sK6,sK7)
| ~ coll(sK6,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_2697]) ).
tcf(c_2724,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK2,sK2)
| ~ para(sK3,sK3,sK2,sK2)
| ~ para(X0,X1,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_133]) ).
tcf(c_2728,plain,
( para(sK2,sK2,sK3,sK3)
| ~ para(sK3,sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_2732,plain,
( para(sK2,sK2,sK2,sK2)
| ~ para(sK3,sK3,sK2,sK2)
| ~ para(sK2,sK2,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_2724]) ).
tcf(c_2772,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK3,X1)
| ~ coll(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_2773,plain,
( coll(sK2,sK3,sK2)
| ~ coll(sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_2772]) ).
tcf(c_2784,plain,
! [X0: $i] :
( coll(sK8,sK3,X0)
| ~ coll(sK8,X0,sK3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_2785,plain,
( coll(sK8,sK3,sK2)
| ~ coll(sK8,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_2784]) ).
tcf(c_2786,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK3,X1)
| ~ coll(X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_2792,plain,
! [X0: $i] :
( coll(sK7,sK6,X0)
| ~ coll(sK7,X0,sK6) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_2793,plain,
( coll(sK7,sK6,sK2)
| ~ coll(sK7,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_2792]) ).
tcf(c_2892,plain,
! [X0: $i] :
( cong(sK6,X0,sK6,sK2)
| ~ cong(sK6,sK3,sK6,sK2)
| ~ cong(sK6,X0,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_2596]) ).
tcf(c_2894,plain,
( cong(sK6,sK2,sK6,sK2)
| ~ cong(sK6,sK3,sK6,sK2)
| ~ cong(sK6,sK2,sK6,sK3) ),
inference(instantiation,[status(thm)],[c_2892]) ).
tcf(c_2901,plain,
( para(sK2,sK7,sK2,sK7)
| ~ perp(sK2,sK7,sK27(sK2,sK9,sK10,sK7),sK2)
| ~ perp(sK27(sK2,sK9,sK10,sK7),sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_2622]) ).
tcf(c_2915,plain,
! [X0: $i] :
( perp(sK7,sK2,sK2,X0)
| ~ perp(sK2,X0,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_2916,plain,
( perp(sK7,sK2,sK2,sK2)
| ~ perp(sK2,sK2,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_2915]) ).
tcf(c_2929,plain,
! [X0: $i,X1: $i] :
( perp(X1,X0,X0,sK3)
| ~ perp(X0,sK3,X1,X0) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_2930,plain,
( perp(sK2,sK2,sK2,sK3)
| ~ perp(sK2,sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_2929]) ).
tcf(c_2957,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK5)
| ~ perp(X0,X1,sK5,X1) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_2958,plain,
( perp(sK2,sK2,sK2,sK5)
| ~ perp(sK2,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_2957]) ).
tcf(c_3082,plain,
coll(sK6,sK3,sK2),
inference(superposition,[status(thm)],[c_62,c_88]) ).
tcf(c_3087,plain,
coll(sK6,sK3,sK2),
inference(superposition,[status(thm)],[c_62,c_88]) ).
tcf(c_3092,plain,
coll(sK5,sK7,sK6),
inference(superposition,[status(thm)],[c_63,c_94]) ).
tcf(c_3093,plain,
coll(sK3,sK8,sK4),
inference(superposition,[status(thm)],[c_65,c_94]) ).
tcf(c_3138,plain,
coll(sK8,sK4,sK3),
inference(superposition,[status(thm)],[c_65,c_95]) ).
tcf(c_3144,plain,
coll(sK8,sK4,sK3),
inference(superposition,[status(thm)],[c_65,c_95]) ).
tcf(c_3188,plain,
coll(sK6,sK2,sK3),
inference(superposition,[status(thm)],[c_3082,c_95]) ).
tcf(c_3190,plain,
coll(sK6,sK2,sK3),
inference(superposition,[status(thm)],[c_3087,c_95]) ).
tcf(c_3250,plain,
coll(sK4,sK8,sK3),
inference(superposition,[status(thm)],[c_3138,c_94]) ).
tcf(c_3273,plain,
coll(sK2,sK6,sK3),
inference(superposition,[status(thm)],[c_3188,c_94]) ).
tcf(c_3275,plain,
coll(sK2,sK6,sK3),
inference(superposition,[status(thm)],[c_3190,c_94]) ).
tcf(c_3318,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK6,X1)
| ~ coll(X0,X1,sK6) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_3319,plain,
( coll(sK2,sK6,sK2)
| ~ coll(sK2,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_3318]) ).
tcf(c_3341,plain,
coll(sK2,sK3,sK6),
inference(superposition,[status(thm)],[c_3273,c_95]) ).
tcf(c_3413,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_100,c_140]) ).
tcf(c_3600,plain,
! [X0: $i] :
( coll(sK6,X0,sK7)
| ~ coll(sK7,sK5,X0) ),
inference(superposition,[status(thm)],[c_63,c_93]) ).
tcf(c_3601,plain,
! [X0: $i] :
( coll(sK4,X0,sK8)
| ~ coll(sK8,sK3,X0) ),
inference(superposition,[status(thm)],[c_65,c_93]) ).
tcf(c_3603,plain,
! [X0: $i] :
( coll(sK6,X0,sK5)
| ~ coll(sK5,sK7,X0) ),
inference(superposition,[status(thm)],[c_3092,c_93]) ).
tcf(c_3604,plain,
! [X0: $i] :
( coll(sK4,X0,sK3)
| ~ coll(sK3,sK8,X0) ),
inference(superposition,[status(thm)],[c_3093,c_93]) ).
tcf(c_3606,plain,
! [X0: $i] :
( coll(sK3,X0,sK8)
| ~ coll(sK8,sK4,X0) ),
inference(superposition,[status(thm)],[c_3138,c_93]) ).
tcf(c_3612,plain,
! [X0: $i] :
( coll(sK3,X0,sK4)
| ~ coll(sK4,sK8,X0) ),
inference(superposition,[status(thm)],[c_3250,c_93]) ).
tcf(c_3613,plain,
! [X0: $i] :
( coll(sK6,X0,sK2)
| ~ coll(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_3341,c_93]) ).
tcf(c_3614,plain,
! [X0: $i] :
( coll(sK3,X0,sK2)
| ~ coll(sK2,sK6,X0) ),
inference(superposition,[status(thm)],[c_3273,c_93]) ).
tcf(c_3656,plain,
( coll(sK3,sK2,sK2)
| ~ coll(sK2,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_3614]) ).
tcf(c_3657,plain,
( coll(sK6,sK2,sK2)
| ~ coll(sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_3613]) ).
tcf(c_3676,plain,
! [X0: $i] :
( coll(sK4,X0,sK8)
| ~ coll(sK8,sK3,X0) ),
inference(superposition,[status(thm)],[c_65,c_93]) ).
tcf(c_3681,plain,
! [X0: $i] :
( coll(sK3,X0,sK8)
| ~ coll(sK8,sK4,X0) ),
inference(superposition,[status(thm)],[c_3144,c_93]) ).
tcf(c_3689,plain,
! [X0: $i] :
( coll(sK3,X0,sK2)
| ~ coll(sK2,sK6,X0) ),
inference(superposition,[status(thm)],[c_3275,c_93]) ).
tcf(c_3755,plain,
! [X0: $i,X1: $i] :
( midp(sK6,X0,X1)
| ~ coll(sK6,X0,X1)
| ~ cong(sK6,X0,sK6,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_3756,plain,
( midp(sK6,sK2,sK2)
| ~ coll(sK6,sK2,sK2)
| ~ cong(sK6,sK2,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_3755]) ).
tcf(c_3926,plain,
coll(sK6,sK6,sK7),
inference(superposition,[status(thm)],[c_63,c_3600]) ).
tcf(c_3932,plain,
! [X0: $i] :
( coll(sK7,X0,sK6)
| ~ coll(sK6,sK6,X0) ),
inference(superposition,[status(thm)],[c_3926,c_93]) ).
tcf(c_3970,plain,
( eqangle(sK2,sK2,sK2,sK3,sK4,sK2,sK4,sK3)
| ~ cyclic(sK2,sK3,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_4154,plain,
coll(sK6,sK6,sK5),
inference(superposition,[status(thm)],[c_3092,c_3603]) ).
tcf(c_4160,plain,
! [X0: $i] :
( coll(sK5,X0,sK6)
| ~ coll(sK6,sK6,X0) ),
inference(superposition,[status(thm)],[c_4154,c_93]) ).
tcf(c_4215,plain,
coll(sK4,sK4,sK3),
inference(superposition,[status(thm)],[c_3093,c_3604]) ).
tcf(c_4473,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK6,X0,sK2,X2)
| ~ midp(sK6,X1,sK2)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_4474,plain,
( para(sK6,sK2,sK2,sK2)
| ~ midp(sK6,sK2,sK2)
| ~ midp(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_4473]) ).
tcf(c_4503,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK8,X2,X0)
| ~ coll(X0,X1,sK8)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_4508,plain,
coll(sK4,sK3,sK4),
inference(superposition,[status(thm)],[c_4215,c_95]) ).
tcf(c_4697,plain,
coll(sK3,sK3,sK8),
inference(superposition,[status(thm)],[c_3138,c_3606]) ).
tcf(c_4703,plain,
coll(sK3,sK3,sK8),
inference(superposition,[status(thm)],[c_3144,c_3681]) ).
tcf(c_4709,plain,
! [X0: $i] :
( coll(sK8,X0,sK3)
| ~ coll(sK3,sK3,X0) ),
inference(superposition,[status(thm)],[c_4697,c_93]) ).
tcf(c_4710,plain,
coll(sK3,sK8,sK3),
inference(superposition,[status(thm)],[c_4697,c_95]) ).
tcf(c_4714,plain,
( coll(sK8,sK2,sK3)
| ~ coll(sK3,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_4709]) ).
tcf(c_4715,plain,
! [X0: $i] :
( coll(sK8,X0,sK3)
| ~ coll(sK3,sK3,X0) ),
inference(superposition,[status(thm)],[c_4703,c_93]) ).
tcf(c_4951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X1,sK7)
| ~ perp(X2,X3,X1,sK7)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_4953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,sK3,X2,X3)
| ~ para(X2,sK3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_4954,plain,
( perp(sK2,sK3,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK2)
| ~ para(sK2,sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_4953]) ).
tcf(c_4959,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,sK6,sK2,sK3)
| ~ perp(X1,X2,sK2,sK3)
| ~ para(X0,sK6,X1,X2) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_4960,plain,
( perp(sK2,sK6,sK2,sK3)
| ~ perp(sK2,sK2,sK2,sK3)
| ~ para(sK2,sK6,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_4959]) ).
tcf(c_5060,plain,
! [X0: $i] :
( coll(sK4,X0,sK4)
| ~ coll(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_4508,c_93]) ).
tcf(c_5065,plain,
( coll(sK4,sK2,sK4)
| ~ coll(sK4,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_5060]) ).
tcf(c_5510,plain,
( perp(sK2,sK8,sK8,sK11)
| ~ coll(sK7,sK2,sK11) ),
inference(superposition,[status(thm)],[c_66,c_110]) ).
tcf(c_5572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X2,X3)
| ~ midp(X0,X3,X1)
| ~ cong(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_3413,c_115]) ).
tcf(c_5650,plain,
coll(sK8,sK3,sK3),
inference(superposition,[status(thm)],[c_4710,c_94]) ).
tcf(c_5922,plain,
! [X0: $i] :
( cong(sK2,X0,sK8,X0)
| ~ coll(sK7,sK2,sK11)
| ~ midp(X0,sK2,sK11) ),
inference(superposition,[status(thm)],[c_5510,c_104]) ).
tcf(c_5924,plain,
( perp(sK2,sK8,sK11,sK8)
| ~ coll(sK7,sK2,sK11) ),
inference(superposition,[status(thm)],[c_5510,c_138]) ).
tcf(c_5936,plain,
( cong(sK2,sK2,sK8,sK2)
| ~ coll(sK7,sK2,sK11)
| ~ midp(sK2,sK2,sK11) ),
inference(instantiation,[status(thm)],[c_5922]) ).
tcf(c_6652,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK7)
| ~ cong(X0,sK7,X1,sK7)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_6653,plain,
( perp(sK2,sK2,sK2,sK7)
| ~ cong(sK2,sK7,sK2,sK7)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_6652]) ).
tcf(c_7613,plain,
! [X0: $i] :
( perp(sK2,sK5,sK5,sK2)
| ~ coll(X0,sK2,sK2)
| ~ circle(X0,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_7614,plain,
( perp(sK2,sK5,sK5,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ circle(sK2,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_7613]) ).
tcf(c_7619,plain,
! [X0: $i] :
( perp(sK2,X0,sK5,sK2)
| ~ perp(sK5,sK2,sK2,X0) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_7620,plain,
( perp(sK2,sK2,sK5,sK2)
| ~ perp(sK5,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_7619]) ).
tcf(c_7644,plain,
! [X0: $i] :
( perp(sK2,X0,sK7,sK2)
| ~ cong(sK2,sK7,X0,sK7)
| ~ cong(sK2,sK2,X0,sK2) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_7645,plain,
( perp(sK2,sK2,sK7,sK2)
| ~ cong(sK2,sK7,sK2,sK7)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_7644]) ).
tcf(c_7656,plain,
! [X0: $i,X1: $i] :
( perp(sK2,sK8,X1,X0)
| ~ coll(sK7,sK2,sK11)
| ~ midp(X1,sK2,sK11)
| ~ cong(sK2,X0,sK8,X0) ),
inference(superposition,[status(thm)],[c_5922,c_136]) ).
tcf(c_7671,plain,
( perp(sK2,sK8,sK2,sK2)
| ~ coll(sK7,sK2,sK11)
| ~ midp(sK2,sK2,sK11)
| ~ cong(sK2,sK2,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_7656]) ).
tcf(c_8466,plain,
! [X0: $i] :
( coll(sK3,X0,sK8)
| ~ coll(sK8,sK3,X0) ),
inference(superposition,[status(thm)],[c_5650,c_93]) ).
tcf(c_8472,plain,
( coll(sK3,sK2,sK8)
| ~ coll(sK8,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_8466]) ).
tcf(c_8896,plain,
! [X0: $i] :
( cyclic(sK2,sK3,sK2,sK4)
| ~ cong(X0,sK2,X0,sK3)
| ~ cong(X0,sK2,X0,sK4)
| ~ cong(X0,sK2,X0,sK2) ),
inference(instantiation,[status(thm)],[c_154]) ).
tcf(c_8897,plain,
( cyclic(sK2,sK3,sK2,sK4)
| ~ cong(sK2,sK2,sK2,sK3)
| ~ cong(sK2,sK2,sK2,sK4)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_8896]) ).
tcf(c_8957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_8958,plain,
( eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8)
| ~ eqangle(sK2,sK2,sK2,sK2,sK4,sK2,sK2,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_8957]) ).
tcf(c_8967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(sK2,X0,sK2,sK8,sK11,sK2,sK11,sK8)
| ~ eqangle(X1,X2,X3,X4,sK11,sK2,sK11,sK8)
| ~ eqangle(sK2,X0,sK2,sK8,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_9483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK5,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK5,X2,X1)
| ~ para(X0,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_9484,plain,
( midp(sK2,sK5,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK5)
| ~ para(sK2,sK5,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_9483]) ).
tcf(c_9603,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK5,X2,X0)
| ~ coll(X0,X1,sK5)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_9604,plain,
( coll(sK5,sK2,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_9603]) ).
tcf(c_9738,plain,
coll(sK3,sK3,sK4),
inference(superposition,[status(thm)],[c_3250,c_3612]) ).
tcf(c_9756,plain,
! [X0: $i] :
( coll(sK4,X0,sK3)
| ~ coll(sK3,sK3,X0) ),
inference(superposition,[status(thm)],[c_9738,c_93]) ).
tcf(c_9761,plain,
( coll(sK4,sK2,sK3)
| ~ coll(sK3,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_9756]) ).
tcf(c_9857,plain,
coll(sK6,sK6,sK2),
inference(superposition,[status(thm)],[c_3341,c_3613]) ).
tcf(c_10554,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK4,X2,sK4)
| ~ coll(sK4,X2,sK4)
| ~ midp(X0,X2,X1)
| ~ para(X0,sK4,X1,sK4) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_10555,plain,
( midp(sK4,sK2,sK4)
| ~ coll(sK4,sK2,sK4)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK4,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_10554]) ).
tcf(c_11022,plain,
! [X0: $i,X1: $i] :
( perp(X1,X0,X0,sK4)
| ~ perp(X0,sK4,X1,X0) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_11023,plain,
( perp(sK2,sK2,sK2,sK4)
| ~ perp(sK2,sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_11022]) ).
tcf(c_11038,plain,
coll(sK3,sK3,sK2),
inference(superposition,[status(thm)],[c_3273,c_3614]) ).
tcf(c_11049,plain,
coll(sK3,sK3,sK2),
inference(superposition,[status(thm)],[c_3275,c_3689]) ).
tcf(c_11121,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK5,X0,X2)
| ~ midp(sK5,X1,X2)
| ~ midp(X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_11122,plain,
( para(sK2,sK5,sK2,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ midp(sK5,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_11121]) ).
tcf(c_11339,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK8)
| ~ coll(sK8,X0,X2)
| ~ coll(sK8,X0,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_11340,plain,
( coll(sK2,sK2,sK8)
| ~ coll(sK8,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_11339]) ).
tcf(c_11347,plain,
! [X0: $i] :
( coll(X0,sK3,sK8)
| ~ coll(sK3,X0,sK8) ),
inference(instantiation,[status(thm)],[c_2772]) ).
tcf(c_11351,plain,
( coll(sK2,sK3,sK8)
| ~ coll(sK3,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_11347]) ).
tcf(c_11768,plain,
( eqangle(sK4,sK2,sK2,sK8,sK5,sK2,sK2,sK7)
| ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_11843,plain,
coll(sK5,sK2,sK6),
inference(superposition,[status(thm)],[c_9857,c_4160]) ).
tcf(c_11844,plain,
coll(sK7,sK2,sK6),
inference(superposition,[status(thm)],[c_9857,c_3932]) ).
tcf(c_12106,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK2,sK8,sK4,sK2,sK2,sK8)
| ~ para(X0,X1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_12108,plain,
( eqangle(sK2,sK2,sK2,sK8,sK4,sK2,sK2,sK8)
| ~ para(sK2,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_12106]) ).
tcf(c_12598,plain,
coll(sK7,sK6,sK2),
inference(superposition,[status(thm)],[c_11844,c_95]) ).
tcf(c_13444,plain,
coll(sK5,sK6,sK2),
inference(superposition,[status(thm)],[c_11843,c_95]) ).
tcf(c_13487,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK4)
| ~ coll(X0,X1,sK4)
| ~ cong(X0,X1,X0,sK4) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_13488,plain,
( midp(sK2,sK2,sK4)
| ~ coll(sK2,sK2,sK4)
| ~ cong(sK2,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_13487]) ).
tcf(c_13570,plain,
coll(sK8,sK2,sK3),
inference(superposition,[status(thm)],[c_11038,c_4709]) ).
tcf(c_13583,plain,
coll(sK8,sK2,sK3),
inference(superposition,[status(thm)],[c_11049,c_4715]) ).
tcf(c_14586,plain,
! [X0: $i] :
( coll(sK2,X0,sK7)
| ~ coll(sK7,sK6,X0) ),
inference(superposition,[status(thm)],[c_12598,c_93]) ).
tcf(c_14592,plain,
( coll(sK2,sK2,sK7)
| ~ coll(sK7,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_14586]) ).
tcf(c_14739,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,sK5,X2,sK7)
| ~ cong(X2,sK5,X0,X1)
| ~ cong(X0,X1,X2,sK7) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_14740,plain,
( cong(sK2,sK5,sK2,sK7)
| ~ cong(sK2,sK2,sK2,sK7)
| ~ cong(sK2,sK5,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_14739]) ).
tcf(c_15095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK5,sK2,X2,X3)
| ~ perp(sK5,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_15096,plain,
( para(sK5,sK2,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK2)
| ~ perp(sK5,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_15095]) ).
tcf(c_15390,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK5,X1,sK5,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK5,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_15391,plain,
( cong(sK5,sK2,sK5,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ perp(sK5,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_15390]) ).
tcf(c_15593,plain,
! [X0: $i,X1: $i] :
( coll(sK8,X1,X0)
| ~ coll(X0,sK3,sK8)
| ~ coll(X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_4503]) ).
tcf(c_15595,plain,
( coll(sK8,sK2,sK2)
| ~ coll(sK2,sK3,sK8)
| ~ coll(sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_15593]) ).
tcf(c_15701,plain,
( cong(sK2,sK7,sK2,sK7)
| ~ midp(sK2,sK7,sK7) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_16371,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK5)
| ~ midp(X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_16372,plain,
( cong(sK2,sK2,sK2,sK5)
| ~ midp(sK2,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_16371]) ).
tcf(c_16394,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK4)
| ~ cong(X0,X1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_16395,plain,
( cong(sK2,sK2,sK2,sK4)
| ~ cong(sK2,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_16394]) ).
tcf(c_16670,plain,
! [X0: $i] :
( coll(sK2,X0,sK5)
| ~ coll(sK5,sK6,X0) ),
inference(superposition,[status(thm)],[c_13444,c_93]) ).
tcf(c_16676,plain,
( coll(sK2,sK2,sK5)
| ~ coll(sK5,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_16670]) ).
tcf(c_16736,plain,
coll(sK8,sK3,sK2),
inference(superposition,[status(thm)],[c_13570,c_95]) ).
tcf(c_16742,plain,
coll(sK8,sK3,sK2),
inference(superposition,[status(thm)],[c_13583,c_95]) ).
tcf(c_18639,plain,
! [X0: $i] :
( eqangle(sK2,X0,sK2,sK8,sK11,sK2,sK11,sK8)
| ~ perp(sK7,sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_66,c_114]) ).
tcf(c_18762,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X1,sK4,sK2)
| ~ midp(X0,X2,sK4)
| ~ midp(X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_18763,plain,
( para(sK2,sK2,sK4,sK2)
| ~ midp(sK2,sK2,sK4)
| ~ midp(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_18762]) ).
tcf(c_19210,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK4,X2,X0)
| ~ coll(X0,X1,sK4)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_19211,plain,
( coll(sK4,sK2,sK2)
| ~ coll(sK2,sK2,sK4)
| ~ coll(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_19210]) ).
tcf(c_19219,plain,
! [X0: $i] :
( coll(sK4,sK3,X0)
| ~ coll(sK4,X0,sK3) ),
inference(instantiation,[status(thm)],[c_2786]) ).
tcf(c_19225,plain,
( coll(sK4,sK3,sK2)
| ~ coll(sK4,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_19219]) ).
tcf(c_20071,plain,
! [X0: $i] :
( eqangle(sK2,X0,sK11,sK2,sK2,sK8,sK11,sK8)
| ~ perp(sK7,sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_18639,c_124]) ).
tcf(c_21960,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK5,X0,X1)
| ~ midp(X0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_21961,plain,
( cong(sK2,sK5,sK2,sK2)
| ~ midp(sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_21960]) ).
tcf(c_22117,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK5,sK2,sK2,X2,X0,X1,sK2,X2)
| ~ para(sK5,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_22118,plain,
( eqangle(sK5,sK2,sK2,sK2,sK2,sK2,sK2,sK2)
| ~ para(sK5,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_22117]) ).
tcf(c_22381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK5)
| ~ coll(X1,X3,sK5)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_22382,plain,
( midp(sK2,sK2,sK5)
| ~ coll(sK2,sK2,sK5)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_22381]) ).
tcf(c_23440,plain,
( eqangle(sK2,sK5,sK2,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_25043,plain,
coll(sK4,sK2,sK8),
inference(superposition,[status(thm)],[c_16736,c_3601]) ).
tcf(c_25050,plain,
coll(sK4,sK2,sK8),
inference(superposition,[status(thm)],[c_16742,c_3676]) ).
tcf(c_25271,plain,
coll(sK4,sK8,sK2),
inference(superposition,[status(thm)],[c_25043,c_95]) ).
tcf(c_25277,plain,
coll(sK4,sK8,sK2),
inference(superposition,[status(thm)],[c_25050,c_95]) ).
tcf(c_25452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X1,sK7,X1,X2,X3,X1,X3,X2)
| ~ perp(X0,X1,X1,sK7)
| ~ circle(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_25453,plain,
( eqangle(sK2,sK7,sK2,sK2,sK2,sK2,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK7)
| ~ circle(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_25452]) ).
tcf(c_25471,plain,
! [X0: $i] :
( perp(sK2,X0,sK11,sK2)
| ~ perp(sK2,sK8,sK11,sK8)
| ~ perp(sK7,sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_20071,c_116]) ).
tcf(c_25482,plain,
( perp(sK2,sK2,sK11,sK2)
| ~ perp(sK7,sK2,sK2,sK2)
| ~ perp(sK2,sK8,sK11,sK8) ),
inference(instantiation,[status(thm)],[c_25471]) ).
tcf(c_25694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X1,X0,X0,sK7,X4,X5,X2,X3)
| ~ eqangle(X0,sK7,X1,X0,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_25695,plain,
( eqangle(sK2,sK2,sK2,sK7,sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK7,sK2,sK2,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_25694]) ).
tcf(c_26892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,sK5,X4)
| ~ perp(X2,X3,sK5,X4)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_26893,plain,
( para(sK2,sK2,sK5,sK2)
| ~ perp(sK2,sK2,sK2,sK2)
| ~ perp(sK2,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_26892]) ).
tcf(c_26946,plain,
( eqangle(sK2,sK8,sK4,sK2,sK2,sK7,sK5,sK2)
| ~ eqangle(sK4,sK2,sK2,sK8,sK5,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_27424,plain,
! [X0: $i,X1: $i] :
( midp(sK5,X0,X1)
| ~ coll(sK5,X0,X1)
| ~ cong(sK5,X0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_27425,plain,
( midp(sK5,sK2,sK2)
| ~ coll(sK5,sK2,sK2)
| ~ cong(sK5,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_27424]) ).
tcf(c_40350,plain,
! [X0: $i] :
( coll(sK2,X0,sK4)
| ~ coll(sK4,sK8,X0) ),
inference(superposition,[status(thm)],[c_25277,c_93]) ).
tcf(c_40357,plain,
( coll(sK2,sK2,sK4)
| ~ coll(sK4,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_40350]) ).
tcf(c_41526,plain,
! [X0: $i,X1: $i] :
( midp(sK2,sK7,sK7)
| ~ midp(sK2,X0,X1)
| ~ para(X0,sK7,X1,sK7) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_41527,plain,
( midp(sK2,sK7,sK7)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK7,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_41526]) ).
tcf(c_48024,plain,
! [X0: $i,X1: $i] :
( eqangle(sK2,X0,sK2,sK8,sK11,sK2,sK11,sK8)
| ~ eqangle(sK2,X1,sK2,sK8,sK11,sK2,sK11,sK8)
| ~ eqangle(sK2,X0,sK2,sK8,sK2,X1,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_8967]) ).
tcf(c_49235,plain,
! [X0: $i,X1: $i] :
( perp(sK5,sK2,sK2,sK7)
| ~ perp(X0,X1,sK2,sK7)
| ~ para(sK5,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_4951]) ).
tcf(c_49237,plain,
( perp(sK5,sK2,sK2,sK7)
| ~ perp(sK2,sK2,sK2,sK7)
| ~ para(sK5,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_49235]) ).
tcf(c_49745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK4,X3,X2)
| ~ coll(sK4,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK4,X1,X2) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_49746,plain,
( midp(sK4,sK2,sK2)
| ~ coll(sK4,sK2,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_49745]) ).
tcf(c_49890,plain,
! [X0: $i] :
( eqangle(sK2,sK4,sK2,sK8,sK11,sK2,sK11,sK8)
| ~ eqangle(sK2,sK4,sK2,sK8,sK2,X0,sK2,sK8)
| ~ eqangle(sK2,X0,sK2,sK8,sK11,sK2,sK11,sK8) ),
inference(instantiation,[status(thm)],[c_48024]) ).
tcf(c_49891,plain,
( eqangle(sK2,sK4,sK2,sK8,sK11,sK2,sK11,sK8)
| ~ eqangle(sK2,sK4,sK2,sK8,sK2,sK2,sK2,sK8)
| ~ eqangle(sK2,sK2,sK2,sK8,sK11,sK2,sK11,sK8) ),
inference(instantiation,[status(thm)],[c_49890]) ).
tcf(c_57339,plain,
! [X0: $i] :
( circle(X0,sK2,sK5,sK2)
| ~ cong(X0,sK2,X0,sK2)
| ~ cong(X0,sK2,X0,sK5) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_57340,plain,
( circle(sK2,sK2,sK5,sK2)
| ~ cong(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_57339]) ).
tcf(c_60175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK8)
| ~ eqangle(X4,X5,X6,X7,sK4,sK2,sK2,sK8)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_60191,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK4,sK8,sK2,sK4,sK4,sK8)
| ~ para(X0,X1,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_60314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,sK4,sK2)
| ~ para(X2,X3,X4,X5)
| ~ eqangle(X0,X1,sK4,sK2,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_60327,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK4,sK2)
| ~ para(X0,X1,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_60395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,sK2,sK4)
| ~ para(X2,X3,X4,X5)
| ~ eqangle(X0,X1,sK2,sK4,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_60396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK2,sK4)
| ~ eqangle(X0,X1,X2,X3,sK2,sK4,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_60409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK2,sK4)
| ~ perp(X2,X3,sK2,sK4)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_60410,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK2,sK4)
| ~ para(sK2,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_60441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X2,X3,sK5,sK2,sK2,sK7)
| ~ eqangle(X4,X5,X6,X7,sK5,sK2,sK2,sK7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_60443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK5,sK2,sK2,sK7)
| ~ eqangle(sK5,sK2,sK2,sK7,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_60444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK5,sK2,sK2,sK7)
| ~ eqangle(X0,X1,X2,X3,sK2,sK7,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_60471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK4,sK2,X2,X3,sK2,sK8)
| ~ eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_60813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK4,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK4,sK2,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_60814,plain,
( eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK4,sK8)
| ~ eqangle(sK2,sK2,sK2,sK2,sK4,sK2,sK4,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_60813]) ).
tcf(c_60899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK4)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK4,X2,X1)
| ~ para(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_61082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK2,sK4,X2,X3)
| ~ perp(sK2,sK4,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_61083,plain,
( para(sK2,sK4,sK2,sK2)
| ~ perp(sK2,sK4,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_61082]) ).
tcf(c_61100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,sK2,sK7)
| ~ para(X2,X3,X4,X5)
| ~ eqangle(X0,X1,sK2,sK7,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_61101,plain,
( para(sK2,sK2,sK2,sK7)
| ~ para(sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK2,sK2,sK7,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_61100]) ).
tcf(c_61113,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X1,sK2,sK7)
| ~ midp(X0,X2,sK2)
| ~ midp(X0,X1,sK7) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_61121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK2,sK7)
| ~ perp(X2,X3,sK2,sK7)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_61214,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK5,sK2)
| ~ para(sK5,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_61258,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK8,X2,sK2)
| ~ coll(sK8,X2,sK2)
| ~ midp(X0,X2,X1)
| ~ para(X0,sK8,X1,sK2) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_61486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK5,sK2,sK2,sK4)
| ~ eqangle(X0,X1,sK5,sK2,X2,X3,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_61487,plain,
( eqangle(sK2,sK2,sK2,sK2,sK5,sK2,sK2,sK4)
| ~ eqangle(sK2,sK2,sK5,sK2,sK2,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_61486]) ).
tcf(c_61513,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK5,sK2,sK2,sK7,sK5,sK2)
| ~ para(X0,X1,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_61515,plain,
( eqangle(sK2,sK2,sK5,sK2,sK2,sK7,sK5,sK2)
| ~ para(sK2,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_61513]) ).
tcf(c_61557,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,X1,sK5,sK7,sK2,sK5,sK2,sK7)
| ~ circle(X0,sK5,sK7,sK2)
| ~ perp(X0,sK5,sK5,X1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_61559,plain,
( eqangle(sK5,sK2,sK5,sK7,sK2,sK5,sK2,sK7)
| ~ perp(sK2,sK5,sK5,sK2)
| ~ circle(sK2,sK5,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_61557]) ).
tcf(c_61654,plain,
! [X0: $i] :
( para(sK2,sK4,sK2,sK4)
| ~ eqangle(sK2,sK4,sK2,X0,sK2,sK4,sK2,X0) ),
inference(instantiation,[status(thm)],[c_60396]) ).
tcf(c_61656,plain,
( para(sK2,sK4,sK2,sK4)
| ~ eqangle(sK2,sK4,sK2,sK2,sK2,sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_61654]) ).
tcf(c_61665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK2,sK4,X0,X1)
| ~ eqangle(X0,X1,X2,X3,X0,X1,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_61805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK5,sK2,sK2,sK7,X4,X5,X6,X7)
| ~ eqangle(sK5,sK2,sK2,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_61808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK2,sK2,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK5,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_61809,plain,
( eqangle(sK5,sK2,sK2,sK7,sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK2,sK2,sK2,sK5,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_61808]) ).
tcf(c_61973,plain,
! [X0: $i,X1: $i] :
( eqangle(sK2,sK4,sK2,sK8,X0,X1,sK2,sK8)
| ~ para(sK2,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_61974,plain,
( eqangle(sK2,sK4,sK2,sK8,sK2,sK2,sK2,sK8)
| ~ para(sK2,sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_61973]) ).
tcf(c_62005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK4,sK8,sK2,sK4,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK4,sK8,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_62006,plain,
( eqangle(sK4,sK8,sK2,sK4,sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK2,sK2,sK2,sK4,sK8,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_62005]) ).
tcf(c_62138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK4,sK2,sK4,sK8,X0,X1,X2,X3)
| ~ eqangle(sK2,sK4,sK4,sK8,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_62206,plain,
! [X0: $i] :
( perp(sK2,sK4,sK4,X0)
| ~ perp(sK2,sK4,X0,sK4) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_62207,plain,
( perp(sK2,sK4,sK4,sK2)
| ~ perp(sK2,sK4,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_62206]) ).
tcf(c_62262,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK2,X1,sK2,sK4,X0,X1,X0,X2)
| ~ midp(X2,X1,sK4)
| ~ circle(X0,sK2,X1,sK4) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_62263,plain,
( eqangle(sK2,sK2,sK2,sK4,sK2,sK2,sK2,sK2)
| ~ midp(sK2,sK2,sK4)
| ~ circle(sK2,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_62262]) ).
tcf(c_62268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK2,sK4,X2,X3,sK2,sK4)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_62269,plain,
( eqangle(sK2,sK2,sK2,sK4,sK2,sK2,sK2,sK4)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_62268]) ).
tcf(c_62271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,sK2,sK4,X2,X3,X4,X5)
| ~ eqangle(X0,X1,X2,X3,sK2,sK4,X4,X5) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_62273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X4,X5,sK2,sK4,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_62323,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X0,X2,sK2,X1,sK2,sK8)
| ~ midp(sK8,X1,X2)
| ~ circle(sK2,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_62324,plain,
( eqangle(sK2,sK2,sK2,sK2,sK2,sK2,sK2,sK8)
| ~ midp(sK8,sK2,sK2)
| ~ circle(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_62323]) ).
tcf(c_62360,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X0,X2,sK4,X1,sK4,sK8)
| ~ midp(sK8,X1,X2)
| ~ circle(sK4,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_62362,plain,
( eqangle(sK2,sK2,sK2,sK2,sK4,sK2,sK4,sK8)
| ~ midp(sK8,sK2,sK2)
| ~ circle(sK4,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_62360]) ).
tcf(c_63117,plain,
! [X0: $i] :
( cong(sK5,sK2,sK5,sK7)
| ~ midp(X0,sK2,sK7)
| ~ perp(sK5,X0,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_63118,plain,
( cong(sK5,sK2,sK5,sK7)
| ~ midp(sK2,sK2,sK7)
| ~ perp(sK5,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_63117]) ).
tcf(c_63312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK2,sK4,X0,sK4)
| ~ perp(X1,X2,X3,X4)
| ~ eqangle(sK2,sK4,X0,sK4,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_63313,plain,
( perp(sK2,sK4,sK2,sK4)
| ~ perp(sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK4,sK2,sK4,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_63312]) ).
tcf(c_63363,plain,
( para(sK2,sK7,sK2,sK4)
| ~ para(sK2,sK4,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_60410]) ).
tcf(c_63565,plain,
! [X0: $i,X1: $i] :
( cong(sK2,X1,sK4,X1)
| ~ midp(X1,sK2,X0)
| ~ perp(sK2,sK4,sK4,X0) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_63566,plain,
( cong(sK2,sK2,sK4,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ perp(sK2,sK4,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_63565]) ).
tcf(c_63674,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK2,sK7)
| ~ coll(X1,sK2,sK7)
| ~ midp(X0,sK2,X2)
| ~ para(X0,X1,X2,sK7) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_63675,plain,
( midp(sK2,sK2,sK7)
| ~ coll(sK2,sK2,sK7)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_63674]) ).
tcf(c_63676,plain,
! [X0: $i] :
( midp(X0,sK2,sK7)
| ~ coll(X0,sK2,sK7)
| ~ cong(X0,sK2,X0,sK7) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_63706,plain,
( para(sK2,sK7,sK5,sK2)
| ~ para(sK5,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_61214]) ).
tcf(c_63731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK2,sK5)
| ~ perp(X2,X3,sK2,sK5)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_63732,plain,
( para(sK2,sK2,sK2,sK5)
| ~ perp(sK2,sK2,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_63731]) ).
tcf(c_63992,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK2,X0,X1,sK5,sK2,sK2,sK7)
| ~ eqangle(X0,X1,sK5,sK2,sK2,sK7,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_60444]) ).
tcf(c_63996,plain,
( eqangle(sK5,sK2,sK2,sK2,sK5,sK2,sK2,sK7)
| ~ eqangle(sK2,sK2,sK5,sK2,sK2,sK7,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_63992]) ).
tcf(c_64005,plain,
! [X0: $i] :
( circle(X0,sK5,sK7,sK2)
| ~ midp(X0,sK2,sK5)
| ~ cong(X0,sK5,X0,sK7) ),
inference(instantiation,[status(thm)],[c_5572]) ).
tcf(c_64006,plain,
( circle(sK2,sK5,sK7,sK2)
| ~ midp(sK2,sK2,sK5)
| ~ cong(sK2,sK5,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_64005]) ).
tcf(c_64054,plain,
! [X0: $i,X1: $i] :
( perp(sK2,sK4,X0,X1)
| ~ cong(sK2,X1,sK4,X1)
| ~ cong(sK2,X0,sK4,X0) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_64055,plain,
( perp(sK2,sK4,sK2,sK2)
| ~ cong(sK2,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_64054]) ).
tcf(c_64554,plain,
! [X0: $i,X1: $i] :
( circle(X0,X1,sK2,sK4)
| ~ cong(X0,X1,X0,sK4)
| ~ cong(X0,X1,X0,sK2) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_64555,plain,
( circle(sK2,sK2,sK2,sK4)
| ~ cong(sK2,sK2,sK2,sK4)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_64554]) ).
tcf(c_64791,plain,
! [X0: $i] :
( para(sK5,sK2,sK2,sK7)
| ~ midp(X0,sK2,sK7)
| ~ midp(X0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_61113]) ).
tcf(c_64794,plain,
( para(sK5,sK2,sK2,sK7)
| ~ midp(sK2,sK2,sK7)
| ~ midp(sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_64791]) ).
tcf(c_65030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK5,sK2,X2,X3)
| ~ para(X0,X1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_65031,plain,
( eqangle(sK2,sK2,sK2,sK2,sK5,sK2,sK2,sK2)
| ~ para(sK2,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_65030]) ).
tcf(c_65145,plain,
! [X0: $i] :
( eqangle(sK4,sK2,sK4,sK8,X0,sK2,X0,sK8)
| ~ cyclic(sK2,sK8,sK4,X0) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_65147,plain,
( eqangle(sK4,sK2,sK4,sK8,sK2,sK2,sK2,sK8)
| ~ cyclic(sK2,sK8,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_65145]) ).
tcf(c_65363,plain,
( cong(sK4,sK2,sK4,sK2)
| ~ midp(sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_66422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X6,X7,sK5,sK2,X4,X5,sK2,sK4)
| ~ eqangle(X6,X7,sK5,sK2,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_66423,plain,
( eqangle(sK2,sK2,sK5,sK2,sK2,sK2,sK2,sK4)
| ~ eqangle(sK2,sK2,sK2,sK2,sK2,sK2,sK2,sK4)
| ~ eqangle(sK2,sK2,sK5,sK2,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_66422]) ).
tcf(c_66520,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK4,sK2,sK7)
| ~ perp(sK2,sK4,X0,X1)
| ~ perp(X0,X1,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_61121]) ).
tcf(c_66526,plain,
( para(sK2,sK4,sK2,sK7)
| ~ perp(sK2,sK4,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_66520]) ).
tcf(c_66987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,sK5,sK2,sK2,sK7)
| ~ eqangle(sK5,sK2,X4,X5,sK5,sK2,sK2,sK7)
| ~ eqangle(X0,X1,X2,X3,sK5,sK2,X4,X5) ),
inference(instantiation,[status(thm)],[c_60441]) ).
tcf(c_66988,plain,
( eqangle(sK2,sK2,sK2,sK2,sK5,sK2,sK2,sK7)
| ~ eqangle(sK2,sK2,sK2,sK2,sK5,sK2,sK2,sK2)
| ~ eqangle(sK5,sK2,sK2,sK2,sK5,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_66987]) ).
tcf(c_68190,plain,
! [X0: $i,X1: $i] :
( circle(sK4,sK2,X0,X1)
| ~ midp(sK4,X1,sK2)
| ~ cong(sK4,sK2,sK4,X0) ),
inference(instantiation,[status(thm)],[c_5572]) ).
tcf(c_68191,plain,
( circle(sK4,sK2,sK2,sK2)
| ~ midp(sK4,sK2,sK2)
| ~ cong(sK4,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_68190]) ).
tcf(c_69341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,sK5,sK2,X4,X5,X2,X3)
| ~ eqangle(sK5,sK2,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_69342,plain,
( eqangle(sK2,sK2,sK5,sK2,sK2,sK2,sK2,sK2)
| ~ eqangle(sK5,sK2,sK2,sK2,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_69341]) ).
tcf(c_69534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,X0,X1,sK2,sK4)
| ~ eqangle(X0,X1,sK2,sK4,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_69535,plain,
( eqangle(sK2,sK2,sK2,sK2,sK2,sK2,sK2,sK4)
| ~ eqangle(sK2,sK2,sK2,sK4,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_69534]) ).
tcf(c_69542,plain,
! [X0: $i,X1: $i] :
( eqangle(sK2,sK4,X0,X1,sK2,sK4,X0,X1)
| ~ eqangle(X0,X1,sK2,sK4,X0,X1,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_61665]) ).
tcf(c_69543,plain,
( eqangle(sK2,sK4,sK2,sK2,sK2,sK4,sK2,sK2)
| ~ eqangle(sK2,sK2,sK2,sK4,sK2,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_69542]) ).
tcf(c_69620,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,sK4,sK2,sK4,X0,X1,sK2,X2)
| ~ eqangle(X0,sK4,X0,X1,sK2,sK4,sK2,X2) ),
inference(instantiation,[status(thm)],[c_62271]) ).
tcf(c_69622,plain,
( eqangle(sK2,sK4,sK2,sK4,sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK4,sK2,sK2,sK2,sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_69620]) ).
tcf(c_73678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK8)
| ~ eqangle(X4,X5,sK2,sK8,sK4,sK2,sK2,sK8)
| ~ eqangle(X0,X1,X2,X3,X4,X5,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_60175]) ).
tcf(c_73679,plain,
( eqangle(sK2,sK2,sK2,sK2,sK4,sK2,sK2,sK8)
| ~ eqangle(sK2,sK2,sK2,sK8,sK4,sK2,sK2,sK8)
| ~ eqangle(sK2,sK2,sK2,sK2,sK2,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_73678]) ).
tcf(c_73790,plain,
( eqangle(sK2,sK4,sK4,sK8,sK2,sK4,sK4,sK8)
| ~ para(sK2,sK4,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_60191]) ).
tcf(c_73791,plain,
( eqangle(sK4,sK2,sK4,sK8,sK2,sK4,sK4,sK8)
| ~ eqangle(sK2,sK4,sK4,sK8,sK2,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_62138]) ).
tcf(c_73857,plain,
( para(sK4,sK8,sK4,sK2)
| ~ para(sK4,sK8,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_60327]) ).
tcf(c_73861,plain,
! [X0: $i,X1: $i] :
( midp(sK8,X1,sK2)
| ~ coll(sK8,X1,sK2)
| ~ midp(X0,X1,sK4)
| ~ para(X0,sK8,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_61258]) ).
tcf(c_73863,plain,
( midp(sK8,sK2,sK2)
| ~ coll(sK8,sK2,sK2)
| ~ midp(sK2,sK2,sK4)
| ~ para(sK2,sK8,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_73861]) ).
tcf(c_75548,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK8,sK2,sK4)
| ~ perp(sK2,sK8,X0,X1)
| ~ perp(X0,X1,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_60409]) ).
tcf(c_75549,plain,
( para(sK2,sK8,sK2,sK4)
| ~ perp(sK2,sK8,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_75548]) ).
tcf(c_77815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK4,sK8,sK2,sK4)
| ~ para(X0,X1,X2,X3)
| ~ eqangle(sK4,sK8,sK2,sK4,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_60395]) ).
tcf(c_77822,plain,
( para(sK4,sK8,sK2,sK4)
| ~ para(sK2,sK2,sK2,sK2)
| ~ eqangle(sK4,sK8,sK2,sK4,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_77815]) ).
tcf(c_78527,plain,
! [X0: $i] :
( eqangle(X0,sK2,sK4,sK2,X0,sK8,sK2,sK8)
| ~ eqangle(X0,sK2,X0,sK8,sK4,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_60471]) ).
tcf(c_78532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK8)
| ~ eqangle(X4,sK2,X4,sK8,sK4,sK2,sK2,sK8)
| ~ eqangle(X0,X1,X2,X3,X4,sK2,X4,sK8) ),
inference(instantiation,[status(thm)],[c_60175]) ).
tcf(c_82656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,sK8,sK4,sK2)
| ~ para(X1,X2,X3,X4)
| ~ eqangle(X0,sK8,sK4,sK2,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_60314]) ).
tcf(c_83534,plain,
( eqangle(sK2,sK8,sK4,sK8,sK2,sK4,sK4,sK8)
| ~ para(sK2,sK8,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_60191]) ).
tcf(c_85579,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK7,sK4)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK4,X1,sK7)
| ~ para(X0,sK7,X1,sK4) ),
inference(instantiation,[status(thm)],[c_60899]) ).
tcf(c_85580,plain,
( midp(sK2,sK7,sK4)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK4,sK2,sK7)
| ~ para(sK2,sK7,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_85579]) ).
tcf(c_86180,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,sK2,X0,sK8,sK4,sK2,sK2,sK8)
| ~ eqangle(X1,sK2,X1,sK8,sK4,sK2,sK2,sK8)
| ~ eqangle(X0,sK2,X0,sK8,X1,sK2,X1,sK8) ),
inference(instantiation,[status(thm)],[c_78532]) ).
tcf(c_86594,plain,
! [X0: $i] :
( midp(sK8,X0,sK2)
| ~ coll(sK8,X0,sK2)
| ~ midp(sK4,X0,sK4)
| ~ para(sK4,sK8,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_73861]) ).
tcf(c_86598,plain,
( midp(sK8,sK2,sK2)
| ~ coll(sK8,sK2,sK2)
| ~ midp(sK4,sK2,sK4)
| ~ para(sK4,sK8,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_86594]) ).
tcf(c_101994,plain,
! [X0: $i] :
( eqangle(sK4,sK2,sK4,sK8,sK4,sK2,sK2,sK8)
| ~ eqangle(sK4,sK2,sK4,sK8,X0,sK2,X0,sK8)
| ~ eqangle(X0,sK2,X0,sK8,sK4,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_86180]) ).
tcf(c_101995,plain,
( eqangle(sK4,sK2,sK4,sK8,sK4,sK2,sK2,sK8)
| ~ eqangle(sK4,sK2,sK4,sK8,sK2,sK2,sK2,sK8)
| ~ eqangle(sK2,sK2,sK2,sK8,sK4,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_101994]) ).
tcf(c_102318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK5,sK2,sK2,sK7,X4,X5,sK8,sK4)
| ~ eqangle(sK5,sK2,sK2,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,sK8,sK4) ),
inference(instantiation,[status(thm)],[c_61805]) ).
tcf(c_104394,plain,
( eqangle(sK4,sK2,sK4,sK2,sK4,sK8,sK2,sK8)
| ~ eqangle(sK4,sK2,sK4,sK8,sK4,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_78527]) ).
tcf(c_108024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK5,sK2,sK2,sK7,X4,X5,X5,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X5,sK8) ),
inference(instantiation,[status(thm)],[c_61805]) ).
tcf(c_108463,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK8,sK4,sK5,sK2,sK2,sK7)
| ~ eqangle(sK5,sK2,sK2,sK7,X0,X1,sK8,sK4) ),
inference(instantiation,[status(thm)],[c_60443]) ).
tcf(c_109061,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK2,sK2,sK7,sK8,X1,sK8,sK4)
| ~ eqangle(sK5,sK2,sK2,sK7,X0,X1,X0,sK4)
| ~ eqangle(X0,X1,X0,sK4,sK8,X1,sK8,sK4) ),
inference(instantiation,[status(thm)],[c_102318]) ).
tcf(c_109062,plain,
! [X0: $i,X1: $i] :
( eqangle(X1,X0,X1,sK4,sK8,X0,sK8,sK4)
| ~ cyclic(X0,sK4,X1,sK8) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_109063,plain,
( eqangle(sK5,sK2,sK2,sK7,sK8,sK2,sK8,sK4)
| ~ eqangle(sK2,sK2,sK2,sK4,sK8,sK2,sK8,sK4)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_109061]) ).
tcf(c_109064,plain,
( eqangle(sK2,sK2,sK2,sK4,sK8,sK2,sK8,sK4)
| ~ cyclic(sK2,sK4,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_109062]) ).
tcf(c_110878,plain,
! [X0: $i] :
( cyclic(sK4,sK2,X0,sK8)
| ~ cyclic(sK4,sK2,sK8,X0) ),
inference(instantiation,[status(thm)],[c_153]) ).
tcf(c_110879,plain,
( cyclic(sK4,sK2,sK2,sK8)
| ~ cyclic(sK4,sK2,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_110878]) ).
tcf(c_111396,plain,
( cyclic(sK2,sK8,sK4,sK2)
| ~ cyclic(sK2,sK4,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_116233,plain,
! [X0: $i] :
( eqangle(sK5,sK2,sK2,sK7,X0,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK4,sK8)
| ~ eqangle(sK4,sK2,sK4,sK8,X0,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_108024]) ).
tcf(c_116237,plain,
( eqangle(sK5,sK2,sK2,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK4,sK2,sK4,sK8,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_116233]) ).
tcf(c_118053,plain,
! [X0: $i] :
( cyclic(sK2,sK4,X0,sK8)
| ~ cyclic(sK4,sK2,X0,sK8) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_118054,plain,
( cyclic(sK2,sK4,sK2,sK8)
| ~ cyclic(sK4,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_118053]) ).
tcf(c_118061,plain,
! [X0: $i] :
( cyclic(sK4,sK2,sK8,X0)
| ~ cyclic(sK4,sK8,sK2,X0) ),
inference(instantiation,[status(thm)],[c_152]) ).
tcf(c_118062,plain,
( cyclic(sK4,sK2,sK8,sK2)
| ~ cyclic(sK4,sK8,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_118061]) ).
tcf(c_118290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(sK5,sK2,sK2,sK7,sK2,X4,sK2,sK4)
| ~ eqangle(sK5,sK2,sK2,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK2,X4,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_61805]) ).
tcf(c_118291,plain,
( eqangle(sK5,sK2,sK2,sK7,sK2,sK2,sK2,sK4)
| ~ eqangle(sK2,sK2,sK2,sK2,sK2,sK2,sK2,sK4)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_118290]) ).
tcf(c_132176,plain,
( midp(sK5,sK2,sK7)
| ~ coll(sK5,sK2,sK7)
| ~ cong(sK5,sK2,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_63676]) ).
tcf(c_144531,plain,
! [X0: $i] :
( para(X0,sK8,sK4,sK2)
| ~ para(sK2,sK7,sK5,sK2)
| ~ eqangle(X0,sK8,sK4,sK2,sK2,sK7,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_82656]) ).
tcf(c_144535,plain,
( para(sK2,sK8,sK4,sK2)
| ~ para(sK2,sK7,sK5,sK2)
| ~ eqangle(sK2,sK8,sK4,sK2,sK2,sK7,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_144531]) ).
tcf(c_151660,plain,
! [X0: $i] :
( cyclic(sK4,sK8,sK2,X0)
| ~ coll(sK2,X0,sK8)
| ~ eqangle(sK2,sK4,sK2,sK8,X0,sK4,X0,sK8) ),
inference(instantiation,[status(thm)],[c_147]) ).
tcf(c_151661,plain,
( cyclic(sK4,sK8,sK2,sK2)
| ~ coll(sK2,sK2,sK8)
| ~ eqangle(sK2,sK4,sK2,sK8,sK2,sK4,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_151660]) ).
tcf(c_168954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK2,sK2,sK4,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK5,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_62273]) ).
tcf(c_168955,plain,
( eqangle(sK5,sK2,sK2,sK4,sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK2,sK2,sK2,sK5,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_168954]) ).
tcf(c_175380,plain,
! [X0: $i] :
( eqangle(sK8,X0,sK8,sK4,sK5,sK2,sK2,sK7)
| ~ eqangle(sK5,sK2,sK2,sK7,sK8,X0,sK8,sK4) ),
inference(instantiation,[status(thm)],[c_108463]) ).
tcf(c_175387,plain,
( eqangle(sK8,sK2,sK8,sK4,sK5,sK2,sK2,sK7)
| ~ eqangle(sK5,sK2,sK2,sK7,sK8,sK2,sK8,sK4) ),
inference(instantiation,[status(thm)],[c_175380]) ).
tcf(c_177011,plain,
! [X0: $i] :
( cong(sK2,X0,sK2,sK7)
| ~ midp(sK2,X0,sK7) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_177012,plain,
( cong(sK2,sK2,sK2,sK7)
| ~ midp(sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_177011]) ).
tcf(c_177623,plain,
( eqangle(sK2,sK5,sK5,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK5,sK7,sK2,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_177631,plain,
( eqangle(sK2,sK5,sK2,sK4,sK5,sK7,sK4,sK8)
| ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_177665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK2,sK5,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK5,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK2,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_177684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK2,sK5,sK5,sK7,X0,X1,X2,X3)
| ~ eqangle(sK2,sK5,X0,X1,sK5,sK7,X2,X3) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_177685,plain,
( eqangle(sK2,sK5,sK5,sK7,sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK5,sK2,sK2,sK5,sK7,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_177684]) ).
tcf(c_177686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK2,sK5,sK5,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK2,sK5,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_177908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK2,sK5,sK2,sK4,X4,X5,X6,X7)
| ~ eqangle(sK2,sK5,sK2,sK4,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_177915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK2,sK5,sK2,sK4,X0,X1,X2,X3)
| ~ eqangle(sK5,sK2,sK2,sK4,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_177916,plain,
( eqangle(sK2,sK5,sK2,sK4,sK2,sK2,sK2,sK2)
| ~ eqangle(sK5,sK2,sK2,sK4,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_177915]) ).
tcf(c_177919,plain,
! [X0: $i,X1: $i] :
( eqangle(sK2,sK5,sK4,sK2,X0,X1,sK4,sK2)
| ~ para(sK2,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_177960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK7,sK2,sK5,X2,X3,X0,X1)
| ~ eqangle(sK2,sK5,sK5,sK7,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_177961,plain,
( eqangle(sK5,sK7,sK2,sK5,sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_177960]) ).
tcf(c_177962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK7,sK2,sK5,X0,X1,X2,X3)
| ~ eqangle(sK7,sK5,sK2,sK5,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_177974,plain,
! [X0: $i] :
( eqangle(sK5,sK2,sK5,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK5,sK7,X0,sK5,X0,sK7)
| ~ eqangle(X0,sK5,X0,sK7,sK2,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_177665]) ).
tcf(c_177976,plain,
( eqangle(sK5,sK2,sK5,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK2,sK5,sK2,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK5,sK7,sK2,sK5,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_177974]) ).
tcf(c_178007,plain,
! [X0: $i,X1: $i] :
( eqangle(sK2,sK5,X0,X1,sK5,sK7,X0,X1)
| ~ para(sK2,sK5,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_178008,plain,
( eqangle(sK2,sK5,sK2,sK2,sK5,sK7,sK2,sK2)
| ~ para(sK2,sK5,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_178007]) ).
tcf(c_178025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK5,sK5,sK7)
| ~ eqangle(X4,X5,X6,X7,sK2,sK5,sK5,sK7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_178028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK5,sK5,sK7)
| ~ eqangle(sK2,sK5,sK5,sK7,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_178029,plain,
( eqangle(sK2,sK2,sK2,sK2,sK2,sK5,sK5,sK7)
| ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_178028]) ).
tcf(c_178195,plain,
( eqangle(sK2,sK5,sK4,sK2,sK5,sK7,sK4,sK2)
| ~ para(sK2,sK5,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_177919]) ).
tcf(c_178196,plain,
( eqangle(sK2,sK5,sK5,sK7,sK4,sK2,sK4,sK2)
| ~ eqangle(sK2,sK5,sK4,sK2,sK5,sK7,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_177684]) ).
tcf(c_178600,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK5,sK7,X1,X2)
| ~ midp(X0,sK7,X2)
| ~ midp(X0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_178719,plain,
! [X0: $i] :
( para(sK2,sK5,sK5,sK7)
| ~ midp(sK2,X0,sK5)
| ~ midp(sK5,X0,sK7) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_178720,plain,
( para(sK2,sK5,sK5,sK7)
| ~ midp(sK2,sK2,sK5)
| ~ midp(sK5,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_178719]) ).
tcf(c_178878,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK7,sK4,sK8,X0,X1,sK4,sK8)
| ~ para(sK5,sK7,X0,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_178921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK2,sK4,sK2,sK5,X2,X3,X0,X1)
| ~ eqangle(sK2,sK5,sK2,sK4,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_178922,plain,
( eqangle(sK2,sK4,sK2,sK5,sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK5,sK2,sK4,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_178921]) ).
tcf(c_179121,plain,
! [X0: $i,X1: $i] :
( eqangle(sK2,sK4,sK2,sK8,X0,X1,sK2,sK8)
| ~ para(sK2,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_179273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK7,sK5,sK2,sK5,X0,X1,X2,X3)
| ~ eqangle(sK5,sK7,sK2,sK5,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_179274,plain,
( eqangle(sK7,sK5,sK2,sK5,sK2,sK2,sK2,sK2)
| ~ eqangle(sK5,sK7,sK2,sK5,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_179273]) ).
tcf(c_180598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK2,sK5,sK2,sK4,sK2,sK4,sK4,sK8)
| ~ eqangle(sK2,sK5,sK2,sK4,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK2,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_177908]) ).
tcf(c_180640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK8,sK2,sK4)
| ~ eqangle(X4,X5,X6,X7,sK4,sK8,sK2,sK4)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_182997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK7,sK5,sK2,sK5,sK2,sK5,sK5,sK7)
| ~ eqangle(sK7,sK5,sK2,sK5,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK2,sK5,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_178025]) ).
tcf(c_182998,plain,
( eqangle(sK7,sK5,sK2,sK5,sK2,sK5,sK5,sK7)
| ~ eqangle(sK7,sK5,sK2,sK5,sK2,sK2,sK2,sK2)
| ~ eqangle(sK2,sK2,sK2,sK2,sK2,sK5,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_182997]) ).
tcf(c_187619,plain,
( eqangle(sK5,sK7,sK4,sK8,sK2,sK4,sK4,sK8)
| ~ para(sK5,sK7,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_178878]) ).
tcf(c_187622,plain,
( eqangle(sK2,sK5,sK2,sK4,sK2,sK4,sK4,sK8)
| ~ eqangle(sK2,sK5,sK2,sK4,sK5,sK7,sK4,sK8)
| ~ eqangle(sK5,sK7,sK4,sK8,sK2,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_180598]) ).
tcf(c_188094,plain,
( eqangle(sK2,sK4,sK2,sK8,sK2,sK4,sK2,sK8)
| ~ para(sK2,sK4,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_179121]) ).
tcf(c_189964,plain,
! [X0: $i] :
( para(sK5,sK7,sK2,sK4)
| ~ midp(X0,sK7,sK4)
| ~ midp(X0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_178600]) ).
tcf(c_189965,plain,
( para(sK5,sK7,sK2,sK4)
| ~ midp(sK2,sK7,sK4)
| ~ midp(sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_189964]) ).
tcf(c_196358,plain,
! [X0: $i,X1: $i] :
( eqangle(sK2,sK5,sK5,sK7,sK5,sK7,X0,X1)
| ~ eqangle(sK5,sK7,X0,X1,sK2,sK5,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_177686]) ).
tcf(c_198999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK4,sK2,sK5)
| ~ eqangle(sK2,sK4,sK2,sK5,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_199000,plain,
( eqangle(sK2,sK2,sK2,sK2,sK2,sK4,sK2,sK5)
| ~ eqangle(sK2,sK4,sK2,sK5,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_198999]) ).
tcf(c_199078,plain,
( eqangle(sK2,sK4,sK2,sK5,sK4,sK8,sK2,sK4)
| ~ eqangle(sK2,sK5,sK2,sK4,sK2,sK4,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_178921]) ).
tcf(c_200428,plain,
( eqangle(sK2,sK5,sK5,sK7,sK5,sK7,sK2,sK5)
| ~ eqangle(sK5,sK7,sK2,sK5,sK2,sK5,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_196358]) ).
tcf(c_200429,plain,
( eqangle(sK5,sK7,sK2,sK5,sK2,sK5,sK5,sK7)
| ~ eqangle(sK7,sK5,sK2,sK5,sK2,sK5,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_177962]) ).
tcf(c_208095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK8,sK2,sK4)
| ~ eqangle(sK2,sK4,sK2,sK5,sK4,sK8,sK2,sK4)
| ~ eqangle(X0,X1,X2,X3,sK2,sK4,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_180640]) ).
tcf(c_208096,plain,
( eqangle(sK2,sK2,sK2,sK2,sK4,sK8,sK2,sK4)
| ~ eqangle(sK2,sK4,sK2,sK5,sK4,sK8,sK2,sK4)
| ~ eqangle(sK2,sK2,sK2,sK2,sK2,sK4,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_208095]) ).
tcf(c_209900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK11,sK2,sK11,sK8,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK11,sK2,sK11,sK8) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_220518,plain,
( eqangle(sK11,sK2,sK11,sK8,sK2,sK4,sK2,sK8)
| ~ eqangle(sK2,sK4,sK2,sK8,sK11,sK2,sK11,sK8) ),
inference(instantiation,[status(thm)],[c_209900]) ).
tcf(c_221271,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK11,sK11)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK11,X1,sK11) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_221272,plain,
( midp(sK2,sK11,sK11)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK11,sK2,sK11) ),
inference(instantiation,[status(thm)],[c_221271]) ).
tcf(c_234114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK4,sK4,sK8)
| ~ eqangle(X4,X5,X6,X7,sK2,sK4,sK4,sK8)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_234287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK2,sK5,sK5,sK7,X4,X5,sK4,sK8)
| ~ eqangle(sK2,sK5,sK5,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_234293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK2,sK5,sK5,sK7,X4,X5,sK2,sK8)
| ~ eqangle(sK2,sK5,sK5,sK7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_234433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK4,sK4,sK8)
| ~ eqangle(X4,X5,sK4,sK8,sK2,sK4,sK4,sK8)
| ~ eqangle(X0,X1,X2,X3,X4,X5,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_234114]) ).
tcf(c_234861,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK7,sK2,sK5,sK2,sK8,X0,X1)
| ~ eqangle(sK2,sK5,sK5,sK7,X0,X1,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_235102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK2,sK4,sK2,sK8,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK2,sK4,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_235469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,sK2,sK8)
| ~ eqangle(X0,X1,X2,X3,X4,X5,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_237414,plain,
! [X0: $i] :
( eqangle(sK5,sK7,sK2,sK5,sK2,sK8,X0,sK8)
| ~ eqangle(sK2,sK5,sK5,sK7,X0,sK8,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_234861]) ).
tcf(c_242511,plain,
! [X0: $i,X1: $i] :
( eqangle(sK2,sK5,sK5,sK7,X0,sK8,sK2,sK8)
| ~ eqangle(sK2,sK5,sK5,sK7,X0,X1,sK4,sK2)
| ~ eqangle(X0,X1,sK4,sK2,X0,sK8,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_234293]) ).
tcf(c_245401,plain,
! [X0: $i] :
( cyclic(sK2,sK4,sK8,X0)
| ~ cyclic(sK4,sK2,sK8,X0) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_245402,plain,
( cyclic(sK2,sK4,sK8,sK2)
| ~ cyclic(sK4,sK2,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_245401]) ).
tcf(c_245566,plain,
( eqangle(sK5,sK7,sK2,sK5,sK2,sK8,sK4,sK8)
| ~ eqangle(sK2,sK5,sK5,sK7,sK4,sK8,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_237414]) ).
tcf(c_245574,plain,
( eqangle(sK2,sK5,sK5,sK7,sK2,sK8,sK4,sK8)
| ~ eqangle(sK2,sK5,sK5,sK7,sK5,sK7,sK2,sK5)
| ~ eqangle(sK5,sK7,sK2,sK5,sK2,sK8,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_234287]) ).
tcf(c_249642,plain,
! [X0: $i] :
( eqangle(sK2,sK5,sK5,sK7,sK4,sK8,sK2,sK8)
| ~ eqangle(sK4,X0,sK4,sK2,sK4,sK8,sK2,sK8)
| ~ eqangle(sK2,sK5,sK5,sK7,sK4,X0,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_242511]) ).
tcf(c_249643,plain,
( eqangle(sK2,sK5,sK5,sK7,sK4,sK8,sK2,sK8)
| ~ eqangle(sK4,sK2,sK4,sK2,sK4,sK8,sK2,sK8)
| ~ eqangle(sK2,sK5,sK5,sK7,sK4,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_249642]) ).
tcf(c_251742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK2,sK11,sK11,sK8,X4,X5,X6,X7)
| ~ eqangle(sK2,sK11,sK11,sK8,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_256570,plain,
( eqangle(sK2,sK5,sK5,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK2,sK8,sK4,sK8,sK2,sK4,sK4,sK8)
| ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK8,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_234433]) ).
tcf(c_256663,plain,
( eqangle(sK2,sK11,sK11,sK8,sK2,sK4,sK2,sK8)
| ~ eqangle(sK11,sK2,sK11,sK8,sK2,sK4,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_235469]) ).
tcf(c_257657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK11,sK2)
| ~ perp(X2,X3,sK11,sK2)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_257658,plain,
( para(sK2,sK2,sK11,sK2)
| ~ perp(sK2,sK2,sK11,sK2)
| ~ perp(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_257657]) ).
tcf(c_257868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK2,sK11,X2,X3)
| ~ eqangle(sK2,sK11,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_263341,plain,
( coll(sK7,sK2,sK11)
| ~ coll(sK7,sK11,sK2) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_263432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK2,sK11,sK11,sK8,X0,X1,X2,X3)
| ~ eqangle(sK2,sK11,sK11,sK8,sK2,sK4,sK2,sK8)
| ~ eqangle(sK2,sK4,sK2,sK8,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_251742]) ).
tcf(c_263438,plain,
( eqangle(sK2,sK4,sK2,sK8,sK2,sK11,sK11,sK8)
| ~ eqangle(sK2,sK11,sK11,sK8,sK2,sK4,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_235102]) ).
tcf(c_269474,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK2,sK11)
| ~ para(X0,X1,sK11,sK2) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_269475,plain,
( para(sK2,sK2,sK2,sK11)
| ~ para(sK2,sK2,sK11,sK2) ),
inference(instantiation,[status(thm)],[c_269474]) ).
tcf(c_269704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK11)
| ~ coll(X1,X3,sK11)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK11) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_269705,plain,
( midp(sK2,sK2,sK11)
| ~ coll(sK2,sK2,sK11)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK11) ),
inference(instantiation,[status(thm)],[c_269704]) ).
tcf(c_271701,plain,
( coll(sK7,sK11,sK2)
| ~ coll(sK11,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_271964,plain,
! [X0: $i] :
( coll(sK11,X0,sK7)
| ~ para(sK11,X0,sK11,sK7) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_271967,plain,
( coll(sK11,sK2,sK7)
| ~ para(sK11,sK2,sK11,sK7) ),
inference(instantiation,[status(thm)],[c_271964]) ).
tcf(c_275401,plain,
( eqangle(sK2,sK11,sK11,sK8,sK2,sK11,sK11,sK8)
| ~ eqangle(sK2,sK11,sK11,sK8,sK2,sK4,sK2,sK8)
| ~ eqangle(sK2,sK4,sK2,sK8,sK2,sK11,sK11,sK8) ),
inference(instantiation,[status(thm)],[c_263432]) ).
tcf(c_286344,plain,
( coll(sK11,sK7,sK2)
| ~ coll(sK11,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_286761,plain,
! [X0: $i] :
( coll(sK2,X0,sK11)
| ~ para(sK2,X0,sK2,sK11) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_286764,plain,
( coll(sK2,sK2,sK11)
| ~ para(sK2,sK2,sK2,sK11) ),
inference(instantiation,[status(thm)],[c_286761]) ).
tcf(c_286902,plain,
! [X0: $i,X1: $i] :
( para(sK11,X1,sK11,sK7)
| ~ midp(X0,sK11,sK11)
| ~ midp(X0,X1,sK7) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_286903,plain,
( para(sK11,sK2,sK11,sK7)
| ~ midp(sK2,sK11,sK11)
| ~ midp(sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_286902]) ).
tcf(c_291256,plain,
( para(sK2,sK11,sK2,sK11)
| ~ eqangle(sK2,sK11,sK11,sK8,sK2,sK11,sK11,sK8) ),
inference(instantiation,[status(thm)],[c_257868]) ).
tcf(c_315882,plain,
( eqangle(sK5,sK2,sK2,sK7,sK2,sK8,sK8,sK4)
| ~ eqangle(sK2,sK8,sK8,sK4,sK5,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_315922,plain,
( eqangle(sK2,sK8,sK8,sK4,sK5,sK2,sK2,sK7)
| ~ eqangle(sK8,sK2,sK8,sK4,sK5,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_127]) ).
fof(f220,definition,
! [X6,X0,X2,X5,X3] :
( ~ sP0(X6,X0,X2,X5,X3)
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f221,definition,
! [X2,X6,X0,X5,X3] :
( ~ sP1(X2,X6,X0,X5,X3)
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f222,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( circle(X5,X0,X6,X9)
& coll(X6,X1,X2)
& circle(X5,X0,X7,X8)
& coll(X5,X3,X4)
& midp(X4,X1,X0)
& circle(X3,X0,X1,X2)
& ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
| sP0(X6,X0,X2,X5,X3)
| sP1(X2,X6,X0,X5,X3)
| ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
& ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
| ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) ) ),
inference(definition_folding,[],[f99,f221,f220]) ).
fof(f225,plain,
! [X6,X0,X2,X5,X3] :
( ~ sP0(X6,X0,X2,X5,X3)
| ( ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2)
& ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6) ) ),
inference(nnf_transformation,[],[f220]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP0(X0,X1,X2,X3,X4)
| ( ~ eqangle(X4,X1,X1,X3,X1,X0,X0,X2)
& ~ eqangle(X1,X4,X4,X3,X2,X1,X1,X0) ) ),
inference(rectify,[],[f225]) ).
fof(f248,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP0(X0,X1,X2,X3,X4)
| ~ eqangle(X4,X1,X1,X3,X1,X0,X0,X2) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ sP0(X3,X1,X4,X2,X0)
| ~ eqangle(X0,X1,X1,X2,X1,X3,X3,X4) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_805,plain,
( ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK8,sK8,sK4)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK4,sK4,sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_794,c_52]) ).
tcf(c_178628,plain,
( ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK8,sK8,sK4)
| ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8) ),
inference(global_subsumption_just,[status(thm)],[c_805,c_63,c_62,c_157,c_160,c_164,c_166,c_168,c_174,c_208,c_805,c_860,c_890,c_2368,c_2373,c_2374,c_2382,c_2384,c_2397,c_2461,c_2552,c_2568,c_2624,c_2636,c_2656,c_2700,c_2728,c_2732,c_2773,c_2785,c_2793,c_2894,c_2901,c_2930,c_2958,c_3319,c_3656,c_3657,c_3756,c_3970,c_4474,c_4714,c_4954,c_4960,c_6653,c_7614,c_7620,c_8472,c_8897,c_9484,c_9604,c_9857,c_11038,c_11122,c_11351,c_11768,c_13444,c_13488,c_14592,c_14740,c_15391,c_15595,c_15701,c_16372,c_16395,c_16676,c_19211,c_21961,c_22382,c_23440,c_25271,c_25453,c_25695,c_26893,c_26946,c_27425,c_40357,c_41527,c_49746,c_57340,c_60814,c_61083,c_61101,c_61515,c_61559,c_61656,c_61809,c_62207,c_62269,c_62362,c_63313,c_63566,c_63675,c_63706,c_63732,c_63996,c_64006,c_64055,c_64794,c_65031,c_65363,c_66988,c_68191,c_69543,c_69622,c_73790,c_73791,c_73863,c_116237,c_144535,c_177012,c_177623,c_177976]) ).
tcf(c_178629,plain,
( ~ eqangle(sK5,sK2,sK2,sK7,sK4,sK2,sK2,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK8,sK8,sK4) ),
inference(renaming,[status(thm)],[c_178628]) ).
tcf(c_225067,plain,
( ~ eqangle(sK2,sK5,sK5,sK7,sK2,sK4,sK4,sK8)
| ~ eqangle(sK5,sK2,sK2,sK7,sK2,sK8,sK8,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_805,c_62,c_157,c_160,c_164,c_166,c_168,c_174,c_208,c_860,c_890,c_2368,c_2373,c_2374,c_2382,c_2384,c_2397,c_2461,c_2552,c_2568,c_2624,c_2656,c_2728,c_2732,c_2773,c_2785,c_2894,c_2901,c_2930,c_2958,c_3319,c_3656,c_3657,c_3756,c_3970,c_4474,c_4714,c_4954,c_4960,c_5065,c_6653,c_7620,c_8472,c_8897,c_8958,c_9484,c_9604,c_9761,c_10555,c_11038,c_11122,c_11351,c_12108,c_13444,c_13488,c_15096,c_15391,c_15595,c_15701,c_16395,c_16676,c_18763,c_19225,c_22118,c_25271,c_25453,c_25695,c_26893,c_27425,c_40357,c_41527,c_61101,c_61487,c_61515,c_61656,c_61809,c_62006,c_62207,c_62263,c_62269,c_62324,c_63313,c_63363,c_63566,c_63732,c_63996,c_64055,c_64555,c_65031,c_66423,c_66526,c_66988,c_69342,c_69535,c_69543,c_69622,c_73679,c_73857,c_77822,c_85580,c_86598,c_168955,c_177631,c_177916,c_178629,c_178922,c_187619,c_187622,c_189965,c_199000,c_199078,c_208096]) ).
tcf(c_315923,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_315922,c_315882,c_291256,c_286903,c_286764,c_286344,c_275401,c_271967,c_271701,c_269705,c_269475,c_263438,c_263341,c_257658,c_256663,c_256570,c_249643,c_245574,c_245566,c_245402,c_225067,c_221272,c_220518,c_200429,c_200428,c_188094,c_182998,c_179274,c_178720,c_178196,c_178195,c_178029,c_178008,c_177961,c_177685,c_175387,c_151661,c_132176,c_118291,c_118062,c_118054,c_111396,c_110879,c_109064,c_109063,c_104394,c_101995,c_83534,c_75549,c_69622,c_69543,c_69535,c_66988,c_65147,c_65031,c_64555,c_64055,c_63996,c_63732,c_63675,c_63566,c_63313,c_63118,c_62269,c_62263,c_62207,c_61974,c_61809,c_61656,c_61515,c_61101,c_61083,c_49891,c_49237,c_41527,c_40357,c_26893,c_25695,c_25482,c_25453,c_25271,c_22382,c_18763,c_16676,c_16395,c_15701,c_15595,c_15096,c_14592,c_13488,c_13444,c_12108,c_11351,c_11340,c_11038,c_11023,c_9857,c_8897,c_8472,c_7671,c_7645,c_7620,c_6653,c_5936,c_5924,c_4960,c_4954,c_4714,c_4474,c_3970,c_3756,c_3657,c_3656,c_3319,c_2958,c_2930,c_2916,c_2901,c_2894,c_2793,c_2785,c_2773,c_2732,c_2728,c_2700,c_2656,c_2636,c_2624,c_2568,c_2552,c_2518,c_2461,c_2397,c_2384,c_2382,c_2374,c_2373,c_2371,c_2368,c_914,c_890,c_860,c_208,c_174,c_168,c_166,c_164,c_160,c_157,c_62,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO599+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n001.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 12:36:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 72.21/18.48 % SZS status Started for theBenchmark.p
% 72.21/18.48 % SZS status Theorem for theBenchmark.p
% 72.21/18.48
% 72.21/18.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 72.21/18.48
% 72.21/18.48 % ------ iProver source info
% 72.21/18.48
% 72.21/18.48 % git: date: 2026-07-19 20:42:38 +0200
% 72.21/18.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 72.21/18.48 % git: non_committed_changes: false
% 72.21/18.48
% 72.21/18.48 % ------ Parsing...
% 72.21/18.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 72.21/18.48
% 72.21/18.48 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 72.21/18.48
% 72.21/18.48 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 72.21/18.48 % ------ Proving...
% 72.21/18.48 % ------ Problem Properties
% 72.21/18.48
% 72.21/18.48 %
% 72.21/18.48 % clauses 95
% 72.21/18.48 % conjectures 6
% 72.21/18.48 % EPR 62
% 72.21/18.48 % Horn 90
% 72.21/18.48 % unary 6
% 72.21/18.48 % binary 24
% 72.21/18.48 % lits 270
% 72.21/18.48 % lits eq 0
% 72.21/18.48 % fd_pure 0
% 72.21/18.48 % fd_pseudo 0
% 72.21/18.48 % fd_cond 0
% 72.21/18.48 % fd_pseudo_cond 0
% 72.21/18.48 % AC symbols 0
% 72.21/18.48
% 72.21/18.48 % ------ Schedule dynamic 5 is on
% 72.21/18.48
% 72.21/18.48 % ------ no equalities: superposition off
% 72.21/18.48
% 72.21/18.48 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 72.21/18.48
% 72.21/18.48
% 72.21/18.48 % ------
% 72.21/18.48 % Current options:
% 72.21/18.48 % ------
% 72.21/18.48
% 72.21/18.48
% 72.21/18.48 %
% 72.21/18.48
% 72.21/18.48 % ------ Proving...
% 72.21/18.48 % Proof_search_loop: time out after: 9471 full_loop iterations
% 72.21/18.48
% 72.21/18.48 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 72.21/18.48
% 72.21/18.48
% 72.21/18.48 % ------
% 72.21/18.48 % Current options:
% 72.21/18.48 % ------
% 72.21/18.48
% 72.21/18.48
% 72.21/18.48 %
% 72.21/18.48
% 72.21/18.48 % ------ Proving...
% 72.21/18.48 %
% 72.21/18.48
% 72.21/18.48 % SZS status Theorem for theBenchmark.p
% 72.21/18.48
% 72.21/18.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 72.21/18.49
% 72.21/18.49
%------------------------------------------------------------------------------