%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO635+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.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 01:21:42 PM UTC 2026
% Result : Theorem 43.26s 9.84s
% Output : CNFRefutation 43.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 40
% Syntax : Number of formulae : 542 ( 76 unt; 0 def)
% Number of atoms : 1294 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1408 ( 656 ~; 653 |; 58 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-5 aty)
% Number of variables : 1216 ( 0 sgn1193 !; 23 ?; 445 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& eqangle(X0,X2,X2,X4,X5,X2,X2,X1)
& circle(X3,X0,X5,X7)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) )
=> para(X0,X1,X6,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110998) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& eqangle(X0,X2,X2,X4,X5,X2,X2,X1)
& circle(X3,X0,X5,X7)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2) )
=> para(X0,X1,X6,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& eqangle(X0,X2,X2,X4,X5,X2,X2,X1)
& circle(X3,X0,X5,X7)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2)
& ~ para(X0,X1,X6,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& eqangle(X0,X2,X2,X4,X5,X2,X2,X1)
& circle(X3,X0,X5,X7)
& coll(X4,X0,X1)
& circle(X3,X0,X1,X2)
& ~ para(X0,X1,X6,X5) ),
inference(flattening,[],[f98]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(flattening,[],[f104]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f137,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,[],[f136]) ).
fof(f142,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(f143,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,[],[f142]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f150,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(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,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(f153,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f152]) ).
fof(f154,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(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f157,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f163]) ).
fof(f167,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(f168,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,[],[f167]) ).
fof(f169,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(f170,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,[],[f169]) ).
fof(f171,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(f172,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,[],[f171]) ).
fof(f173,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(f174,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f173]) ).
fof(f175,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(f176,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,[],[f175]) ).
fof(f178,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(f179,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,[],[f178]) ).
fof(f180,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(f181,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(f182,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(f183,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(f186,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(f187,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f186]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f188]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f197,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] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
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(f210,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f42]) ).
fof(f211,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
fof(f220,plain,
( coll(sK6,sK2,sK4)
& circle(sK3,sK2,sK6,sK8)
& eqangle(sK0,sK2,sK2,sK4,sK5,sK2,sK2,sK1)
& circle(sK3,sK0,sK5,sK7)
& coll(sK4,sK0,sK1)
& circle(sK3,sK0,sK1,sK2)
& ~ para(sK0,sK1,sK6,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8)],[f99]) ).
fof(f223,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(sK11(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK11(X0,X1,X2,X3,X4),X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X5,sK11(X0,X1,X2,X3,X4))],[f105]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK24(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X4,sK24(X0,X1,X2,X3))],[f162]) ).
fof(f239,plain,
coll(sK6,sK2,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f240,plain,
circle(sK3,sK2,sK6,sK8),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
eqangle(sK0,sK2,sK2,sK4,sK5,sK2,sK2,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
coll(sK4,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
~ para(sK0,sK1,sK6,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f250,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK11(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f223]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f271,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(f272,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f281,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,[],[f137]) ).
fof(f284,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,[],[f143]) ).
fof(f286,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f148]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f289,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,[],[f151]) ).
fof(f290,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,[],[f153]) ).
fof(f291,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,[],[f155]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK24(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f236]) ).
fof(f297,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f299,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,[],[f168]) ).
fof(f300,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,[],[f170]) ).
fof(f301,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,[],[f172]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f303,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,[],[f176]) ).
fof(f305,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,[],[f179]) ).
fof(f306,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,[],[f180]) ).
fof(f307,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,[],[f181]) ).
fof(f308,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,[],[f182]) ).
fof(f309,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,[],[f183]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f189]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f315,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f320,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f325,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(f326,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(f327,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_49,negated_conjecture,
~ para(sK0,sK1,sK6,sK5),
inference(cnf_transformation,[],[f245]) ).
tcf(c_50,negated_conjecture,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f244]) ).
tcf(c_51,negated_conjecture,
coll(sK4,sK0,sK1),
inference(cnf_transformation,[],[f243]) ).
tcf(c_53,negated_conjecture,
eqangle(sK0,sK2,sK2,sK4,sK5,sK2,sK2,sK1),
inference(cnf_transformation,[],[f241]) ).
tcf(c_54,negated_conjecture,
circle(sK3,sK2,sK6,sK8),
inference(cnf_transformation,[],[f240]) ).
tcf(c_55,negated_conjecture,
coll(sK6,sK2,sK4),
inference(cnf_transformation,[],[f239]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK11(X0,X2,X1,X3,X4),X0,X3,X4)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_91,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,[],[f281]) ).
tcf(c_94,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,[],[f284]) ).
tcf(c_96,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,[],[f286]) ).
tcf(c_97,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,[],[f287]) ).
tcf(c_98,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,[],[f288]) ).
tcf(c_99,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,[],[f289]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK24(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_107,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,[],[f297]) ).
tcf(c_109,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,[],[f299]) ).
tcf(c_110,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,[],[f300]) ).
tcf(c_111,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,[],[f301]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X2,X3)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_113,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,[],[f303]) ).
tcf(c_115,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,[],[f305]) ).
tcf(c_116,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,[],[f306]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_118,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,[],[f308]) ).
tcf(c_119,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,[],[f309]) ).
tcf(c_121,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,[],[f311]) ).
tcf(c_122,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,[],[f312]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_135,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,[],[f325]) ).
tcf(c_136,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,[],[f326]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_153,plain,
( midp(sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_155,plain,
( perp(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_797,plain,
perp(sK24(sK0,sK1,sK2,sK3),sK0,sK0,sK3),
inference(resolution,[status(thm)],[c_50,c_106]) ).
tcf(c_889,plain,
perp(sK24(sK2,sK6,sK8,sK3),sK2,sK2,sK3),
inference(resolution,[status(thm)],[c_54,c_106]) ).
tcf(c_2256,plain,
( coll(sK0,sK4,sK1)
| ~ coll(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2257,plain,
( coll(sK2,sK6,sK4)
| ~ coll(sK6,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2259,plain,
( coll(sK6,sK4,sK2)
| ~ coll(sK6,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2260,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK0,sK1)
| ~ coll(sK4,sK0,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2296,plain,
( eqangle(sK5,sK2,sK2,sK1,sK0,sK2,sK2,sK4)
| ~ eqangle(sK0,sK2,sK2,sK4,sK5,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_2298,plain,
( eqangle(sK2,sK0,sK2,sK4,sK5,sK2,sK2,sK1)
| ~ eqangle(sK0,sK2,sK2,sK4,sK5,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_2323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK5,sK2,sK2,sK1)
| ~ eqangle(sK0,sK2,sK2,sK4,sK5,sK2,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,sK0,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_2339,plain,
! [X0: $i] :
( coll(sK1,X0,sK0)
| ~ coll(sK0,sK4,sK1)
| ~ coll(sK0,sK4,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2366,plain,
! [X0: $i] :
( coll(sK4,X0,sK2)
| ~ coll(sK2,sK6,sK4)
| ~ coll(sK2,sK6,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2369,plain,
( coll(sK4,sK2,sK2)
| ~ coll(sK2,sK6,sK4)
| ~ coll(sK2,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_2366]) ).
tcf(c_2420,plain,
! [X0: $i] :
( coll(sK2,X0,sK6)
| ~ coll(sK6,sK4,sK2)
| ~ coll(sK6,sK4,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2422,plain,
( coll(sK4,sK6,sK2)
| ~ coll(sK6,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2423,plain,
( coll(sK2,sK2,sK6)
| ~ coll(sK6,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_2420]) ).
tcf(c_2473,plain,
( perp(sK24(sK2,sK6,sK8,sK3),sK2,sK3,sK2)
| ~ perp(sK24(sK2,sK6,sK8,sK3),sK2,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_2474,plain,
( perp(sK2,sK3,sK24(sK2,sK6,sK8,sK3),sK2)
| ~ perp(sK24(sK2,sK6,sK8,sK3),sK2,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_2493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK0,sK2,sK2,sK4)
| ~ eqangle(sK5,sK2,sK2,sK1,sK0,sK2,sK2,sK4)
| ~ eqangle(X0,X1,X2,X3,sK5,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_2505,plain,
( coll(sK1,sK1,sK4)
| ~ coll(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2260]) ).
tcf(c_2513,plain,
( eqangle(sK5,sK2,sK2,sK1,sK5,sK2,sK2,sK1)
| ~ eqangle(sK5,sK2,sK2,sK1,sK0,sK2,sK2,sK4)
| ~ eqangle(sK0,sK2,sK2,sK4,sK5,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2323]) ).
tcf(c_2541,plain,
( coll(sK1,sK4,sK1)
| ~ coll(sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2850,plain,
! [X0: $i] :
( coll(sK2,X0,sK4)
| ~ coll(sK4,sK6,sK2)
| ~ coll(sK4,sK6,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2853,plain,
( coll(sK2,sK2,sK4)
| ~ coll(sK4,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_2850]) ).
tcf(c_2887,plain,
( coll(sK1,sK1,sK0)
| ~ coll(sK0,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_2339]) ).
tcf(c_2888,plain,
( coll(sK4,sK4,sK2)
| ~ coll(sK2,sK6,sK4) ),
inference(instantiation,[status(thm)],[c_2366]) ).
tcf(c_2946,plain,
coll(sK2,sK6,sK4),
inference(superposition,[status(thm)],[c_55,c_83]) ).
tcf(c_2963,plain,
coll(sK4,sK1,sK0),
inference(superposition,[status(thm)],[c_51,c_84]) ).
tcf(c_2969,plain,
coll(sK4,sK1,sK0),
inference(superposition,[status(thm)],[c_51,c_84]) ).
tcf(c_2970,plain,
coll(sK6,sK4,sK2),
inference(superposition,[status(thm)],[c_55,c_84]) ).
tcf(c_2977,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK3,X0,X1)
| ~ perp(sK2,sK3,sK24(sK2,sK6,sK8,sK3),sK2)
| ~ perp(sK24(sK2,sK6,sK8,sK3),sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_3022,plain,
coll(sK1,sK4,sK0),
inference(superposition,[status(thm)],[c_2969,c_83]) ).
tcf(c_3149,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_126,c_128]) ).
tcf(c_3175,plain,
! [X0: $i] :
( coll(sK2,sK6,X0)
| ~ coll(sK2,X0,sK6) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_3177,plain,
( coll(sK2,sK6,sK2)
| ~ coll(sK2,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_3175]) ).
tcf(c_3381,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_51,c_82]) ).
tcf(c_3385,plain,
! [X0: $i] :
( coll(sK0,X0,sK4)
| ~ coll(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_2963,c_82]) ).
tcf(c_3431,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_51,c_82]) ).
tcf(c_3432,plain,
! [X0: $i] :
( coll(sK4,X0,sK6)
| ~ coll(sK6,sK2,X0) ),
inference(superposition,[status(thm)],[c_55,c_82]) ).
tcf(c_3434,plain,
! [X0: $i] :
( coll(sK4,X0,sK2)
| ~ coll(sK2,sK6,X0) ),
inference(superposition,[status(thm)],[c_2946,c_82]) ).
tcf(c_3436,plain,
! [X0: $i] :
( coll(sK2,X0,sK6)
| ~ coll(sK6,sK4,X0) ),
inference(superposition,[status(thm)],[c_2970,c_82]) ).
tcf(c_3440,plain,
! [X0: $i] :
( coll(sK0,X0,sK1)
| ~ coll(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_3022,c_82]) ).
tcf(c_3474,plain,
( eqangle(sK2,sK1,sK5,sK2,sK2,sK1,sK5,sK2)
| ~ eqangle(sK5,sK2,sK2,sK1,sK5,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_3484,plain,
( eqangle(sK0,sK2,sK2,sK4,sK0,sK2,sK2,sK4)
| ~ eqangle(sK5,sK2,sK2,sK1,sK0,sK2,sK2,sK4)
| ~ eqangle(sK0,sK2,sK2,sK4,sK5,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2493]) ).
tcf(c_3485,plain,
( eqangle(sK2,sK0,sK2,sK4,sK0,sK2,sK2,sK4)
| ~ eqangle(sK2,sK0,sK2,sK4,sK5,sK2,sK2,sK1)
| ~ eqangle(sK5,sK2,sK2,sK1,sK0,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_2493]) ).
tcf(c_3575,plain,
( para(sK0,sK2,sK0,sK2)
| ~ eqangle(sK0,sK2,sK2,sK4,sK0,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_3591,plain,
! [X0: $i] :
( coll(sK1,X0,sK1)
| ~ coll(sK1,sK4,sK1)
| ~ coll(sK1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_3594,plain,
( coll(sK1,sK2,sK1)
| ~ coll(sK1,sK4,sK2)
| ~ coll(sK1,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_3591]) ).
tcf(c_3621,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_3149,c_78]) ).
tcf(c_3694,plain,
coll(sK1,sK1,sK4),
inference(superposition,[status(thm)],[c_51,c_3381]) ).
tcf(c_3699,plain,
coll(sK1,sK1,sK4),
inference(superposition,[status(thm)],[c_51,c_3431]) ).
tcf(c_3700,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK1,X0) ),
inference(superposition,[status(thm)],[c_3694,c_82]) ).
tcf(c_3706,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK1,X0) ),
inference(superposition,[status(thm)],[c_3699,c_82]) ).
tcf(c_3768,plain,
( coll(sK1,sK0,sK1)
| ~ coll(sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_3806,plain,
coll(sK4,sK4,sK6),
inference(superposition,[status(thm)],[c_55,c_3432]) ).
tcf(c_3812,plain,
! [X0: $i] :
( coll(sK6,X0,sK4)
| ~ coll(sK4,sK4,X0) ),
inference(superposition,[status(thm)],[c_3806,c_82]) ).
tcf(c_4001,plain,
coll(sK0,sK0,sK4),
inference(superposition,[status(thm)],[c_2963,c_3385]) ).
tcf(c_4070,plain,
( eqangle(sK0,sK2,sK2,sK4,sK2,sK0,sK2,sK4)
| ~ eqangle(sK2,sK0,sK2,sK4,sK0,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_4266,plain,
! [X0: $i] :
( coll(X0,sK4,sK2)
| ~ coll(sK4,X0,sK2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_4267,plain,
( coll(sK2,sK4,sK2)
| ~ coll(sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_4266]) ).
tcf(c_4298,plain,
coll(sK0,sK4,sK0),
inference(superposition,[status(thm)],[c_4001,c_84]) ).
tcf(c_4323,plain,
coll(sK4,sK4,sK1),
inference(superposition,[status(thm)],[c_3694,c_3700]) ).
tcf(c_4329,plain,
coll(sK4,sK4,sK1),
inference(superposition,[status(thm)],[c_3699,c_3706]) ).
tcf(c_4361,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK4,X0) ),
inference(superposition,[status(thm)],[c_4323,c_82]) ).
tcf(c_4362,plain,
coll(sK4,sK1,sK4),
inference(superposition,[status(thm)],[c_4323,c_84]) ).
tcf(c_4366,plain,
( coll(sK1,sK2,sK4)
| ~ coll(sK4,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_4361]) ).
tcf(c_4385,plain,
coll(sK6,sK1,sK4),
inference(superposition,[status(thm)],[c_4329,c_3812]) ).
tcf(c_4514,plain,
! [X0: $i] :
( coll(sK0,X0,sK0)
| ~ coll(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_4298,c_82]) ).
tcf(c_4520,plain,
( coll(sK0,sK2,sK0)
| ~ coll(sK0,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_4514]) ).
tcf(c_4583,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK2)
| ~ coll(sK2,sK6,X1)
| ~ coll(sK2,sK6,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_4587,plain,
( coll(sK2,sK2,sK2)
| ~ coll(sK2,sK6,sK2) ),
inference(instantiation,[status(thm)],[c_4583]) ).
tcf(c_4615,plain,
coll(sK1,sK4,sK4),
inference(superposition,[status(thm)],[c_4362,c_83]) ).
tcf(c_4667,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_107]) ).
tcf(c_4669,plain,
( perp(sK2,sK6,sK6,sK8)
| ~ coll(sK3,sK2,sK8) ),
inference(superposition,[status(thm)],[c_54,c_107]) ).
tcf(c_4682,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_107]) ).
tcf(c_4684,plain,
( perp(sK2,sK6,sK6,sK8)
| ~ coll(sK3,sK2,sK8) ),
inference(superposition,[status(thm)],[c_54,c_107]) ).
tcf(c_4819,plain,
coll(sK6,sK4,sK1),
inference(superposition,[status(thm)],[c_4385,c_84]) ).
tcf(c_4910,plain,
( perp(sK0,sK1,sK2,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_4667,c_125]) ).
tcf(c_4928,plain,
( cong(sK0,sK1,sK0,sK2)
| ~ midp(sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_4682,c_122]) ).
tcf(c_5030,plain,
( perp(sK6,sK8,sK2,sK6)
| ~ coll(sK3,sK2,sK8) ),
inference(superposition,[status(thm)],[c_4669,c_124]) ).
tcf(c_5048,plain,
( perp(sK2,sK6,sK8,sK6)
| ~ coll(sK3,sK2,sK8) ),
inference(superposition,[status(thm)],[c_4684,c_125]) ).
tcf(c_5129,plain,
( cong(sK0,sK2,sK0,sK1)
| ~ midp(sK1,sK2,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_4910,c_122]) ).
tcf(c_5342,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK6,X0,X1)
| ~ coll(sK3,sK2,sK8)
| ~ perp(sK6,sK8,X0,X1) ),
inference(superposition,[status(thm)],[c_4669,c_100]) ).
tcf(c_5398,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK6,X0,X1)
| ~ coll(sK3,sK2,sK8)
| ~ perp(sK8,sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_5048,c_100]) ).
tcf(c_5509,plain,
! [X0: $i] :
( coll(X0,sK4,sK1)
| ~ coll(sK4,X0,sK1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_5510,plain,
( coll(sK2,sK4,sK1)
| ~ coll(sK4,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_5509]) ).
tcf(c_5558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ midp(X0,X3,X1)
| ~ cong(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_3149,c_112]) ).
tcf(c_5626,plain,
! [X0: $i,X1: $i] :
( coll(sK0,X1,X0)
| ~ coll(sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_5797,plain,
! [X0: $i,X1: $i] :
( coll(sK4,sK0,X0)
| ~ coll(X0,X1,sK4)
| ~ coll(X0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_5798,plain,
( coll(sK4,sK0,sK2)
| ~ coll(sK2,sK2,sK4)
| ~ coll(sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_5797]) ).
tcf(c_5799,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK0,X0)
| ~ coll(X0,X1,sK0)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_5801,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK0,X2,X0)
| ~ coll(X0,X1,sK0)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_5806,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK1,X0)
| ~ coll(X0,X1,sK1)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_6123,plain,
( para(sK2,sK1,sK2,sK1)
| ~ eqangle(sK2,sK1,sK5,sK2,sK2,sK1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_6158,plain,
( cong(sK0,sK2,sK0,sK1)
| ~ midp(sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_4928,c_128]) ).
tcf(c_6368,plain,
! [X0: $i] :
( coll(sK1,sK4,X0)
| ~ coll(sK1,X0,sK4) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_6369,plain,
( coll(sK1,sK4,sK2)
| ~ coll(sK1,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_6368]) ).
tcf(c_6504,plain,
( para(sK2,sK3,sK3,sK2)
| ~ perp(sK2,sK3,sK24(sK2,sK6,sK8,sK3),sK2)
| ~ perp(sK24(sK2,sK6,sK8,sK3),sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_2977]) ).
tcf(c_6540,plain,
! [X0: $i,X1: $i] :
( perp(sK11(sK24(sK0,sK1,sK2,sK3),sK3,sK0,X0,X1),sK24(sK0,sK1,sK2,sK3),X0,X1)
| ~ coll(sK3,X0,X1)
| ~ perp(sK24(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_6541,plain,
( perp(sK11(sK24(sK0,sK1,sK2,sK3),sK3,sK0,sK2,sK2),sK24(sK0,sK1,sK2,sK3),sK2,sK2)
| ~ coll(sK3,sK2,sK2)
| ~ perp(sK24(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_6540]) ).
tcf(c_6837,plain,
! [X0: $i,X1: $i] :
( coll(sK1,X0,X1)
| ~ coll(X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_6838,plain,
( coll(sK1,sK2,sK2)
| ~ coll(sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_6837]) ).
tcf(c_6877,plain,
( coll(sK3,sK2,sK8)
| ~ coll(sK3,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_6884,plain,
( para(sK0,sK2,sK2,sK0)
| ~ eqangle(sK0,sK2,sK2,sK4,sK2,sK0,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_7091,plain,
( coll(sK0,sK2,sK2)
| ~ para(sK0,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_7315,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_4615,c_82]) ).
tcf(c_7320,plain,
( coll(sK4,sK2,sK1)
| ~ coll(sK1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_7315]) ).
tcf(c_7382,plain,
coll(sK2,sK1,sK6),
inference(superposition,[status(thm)],[c_4819,c_3436]) ).
tcf(c_7563,plain,
( para(sK2,sK6,sK2,sK6)
| ~ coll(sK3,sK2,sK8) ),
inference(superposition,[status(thm)],[c_5030,c_5342]) ).
tcf(c_7575,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK0)
| ~ coll(sK0,X0,X2)
| ~ coll(sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_7576,plain,
( coll(sK2,sK2,sK0)
| ~ coll(sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_7575]) ).
tcf(c_7681,plain,
! [X0: $i] :
( coll(sK3,sK0,sK2)
| ~ coll(sK2,X0,sK3)
| ~ coll(sK2,X0,sK0) ),
inference(instantiation,[status(thm)],[c_5799]) ).
tcf(c_7682,plain,
( coll(sK3,sK0,sK2)
| ~ coll(sK2,sK2,sK3)
| ~ coll(sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_7681]) ).
tcf(c_7696,plain,
! [X0: $i,X1: $i] :
( coll(sK0,sK0,X0)
| ~ coll(X0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_5799]) ).
tcf(c_7697,plain,
( coll(sK0,sK0,sK2)
| ~ coll(sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_7696]) ).
tcf(c_7705,plain,
! [X0: $i,X1: $i] :
( coll(sK3,sK0,X0)
| ~ coll(X0,X1,sK3)
| ~ coll(X0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_5799]) ).
tcf(c_7827,plain,
( coll(sK0,sK4,sK2)
| ~ coll(sK4,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_4266]) ).
tcf(c_7884,plain,
coll(sK2,sK6,sK1),
inference(superposition,[status(thm)],[c_7382,c_84]) ).
tcf(c_8020,plain,
eqangle(sK5,sK2,sK2,sK1,sK0,sK2,sK2,sK4),
inference(superposition,[status(thm)],[c_53,c_117]) ).
tcf(c_8094,plain,
eqangle(sK2,sK4,sK0,sK2,sK2,sK1,sK5,sK2),
inference(superposition,[status(thm)],[c_53,c_118]) ).
tcf(c_8181,plain,
eqangle(sK2,sK0,sK2,sK4,sK5,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_53,c_119]) ).
tcf(c_8408,plain,
eqangle(sK2,sK5,sK2,sK1,sK0,sK2,sK2,sK4),
inference(superposition,[status(thm)],[c_8020,c_119]) ).
tcf(c_8409,plain,
eqangle(sK2,sK1,sK5,sK2,sK2,sK4,sK0,sK2),
inference(superposition,[status(thm)],[c_8020,c_118]) ).
tcf(c_8656,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK1)
| ~ coll(X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_8657,plain,
( coll(sK2,sK2,sK1)
| ~ coll(sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_8656]) ).
tcf(c_8713,plain,
( para(sK3,sK2,sK2,sK3)
| ~ para(sK2,sK3,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_9226,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK1,X0)
| ~ coll(X0,sK4,sK1)
| ~ coll(X0,sK4,X1) ),
inference(instantiation,[status(thm)],[c_5806]) ).
tcf(c_9227,plain,
( coll(sK2,sK1,sK2)
| ~ coll(sK2,sK4,sK2)
| ~ coll(sK2,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_9226]) ).
tcf(c_9379,plain,
eqangle(sK1,sK2,sK5,sK2,sK2,sK4,sK0,sK2),
inference(superposition,[status(thm)],[c_8409,c_119]) ).
tcf(c_10106,plain,
coll(sK4,sK1,sK2),
inference(superposition,[status(thm)],[c_7884,c_3434]) ).
tcf(c_10337,plain,
coll(sK1,sK4,sK2),
inference(superposition,[status(thm)],[c_10106,c_83]) ).
tcf(c_10864,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_97,c_136]) ).
tcf(c_10877,plain,
( cyclic(sK2,sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_10864]) ).
tcf(c_11193,plain,
! [X0: $i,X1: $i] :
( perp(X1,X0,X0,sK0)
| ~ perp(X0,sK0,X1,X0) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_11194,plain,
( perp(sK2,sK2,sK2,sK0)
| ~ perp(sK2,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_11193]) ).
tcf(c_11340,plain,
! [X0: $i] :
( perp(sK3,sK0,sK0,X0)
| ~ perp(sK3,sK0,X0,sK0) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_11341,plain,
( perp(sK3,sK0,sK0,sK2)
| ~ perp(sK3,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_11340]) ).
tcf(c_11616,plain,
! [X0: $i] :
( coll(sK0,sK3,sK2)
| ~ coll(sK2,X0,sK3)
| ~ coll(sK2,X0,sK0) ),
inference(instantiation,[status(thm)],[c_5801]) ).
tcf(c_11617,plain,
( coll(sK0,sK3,sK2)
| ~ coll(sK2,sK2,sK3)
| ~ coll(sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_11616]) ).
tcf(c_11711,plain,
! [X0: $i,X1: $i] :
( coll(sK3,X0,X1)
| ~ para(sK3,X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_11712,plain,
( coll(sK3,sK2,sK2)
| ~ para(sK3,sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_11711]) ).
tcf(c_11751,plain,
( para(sK0,sK1,sK6,sK5)
| ~ para(sK6,sK5,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_11878,plain,
coll(sK0,sK2,sK1),
inference(superposition,[status(thm)],[c_10337,c_3440]) ).
tcf(c_12555,plain,
! [X0: $i,X1: $i] :
( coll(sK2,X1,sK3)
| ~ coll(sK3,X0,sK2)
| ~ coll(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_12556,plain,
( coll(sK2,sK2,sK3)
| ~ coll(sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_12555]) ).
tcf(c_12870,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_50,c_111]) ).
tcf(c_12872,plain,
! [X0: $i] :
( eqangle(sK2,X0,sK2,sK6,sK8,sK2,sK8,sK6)
| ~ perp(sK3,sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_54,c_111]) ).
tcf(c_12890,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_50,c_111]) ).
tcf(c_12892,plain,
! [X0: $i] :
( eqangle(sK2,X0,sK2,sK6,sK8,sK2,sK8,sK6)
| ~ perp(sK3,sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_54,c_111]) ).
tcf(c_13307,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ para(sK0,sK2,sK2,sK0)
| ~ para(sK2,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_13308,plain,
( para(sK0,sK2,sK2,sK2)
| ~ para(sK2,sK0,sK2,sK2)
| ~ para(sK0,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_13307]) ).
tcf(c_13441,plain,
! [X0: $i] :
( eqangle(X0,sK0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_12890,c_119]) ).
tcf(c_13442,plain,
! [X0: $i] :
( eqangle(sK0,sK1,sK0,X0,sK2,sK1,sK2,sK0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_12890,c_118]) ).
tcf(c_13444,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK2,sK0,sK0,sK1,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_12890,c_116]) ).
tcf(c_13479,plain,
! [X0: $i] :
( eqangle(X0,sK0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_12870,c_119]) ).
tcf(c_13480,plain,
! [X0: $i] :
( eqangle(sK0,sK1,sK0,X0,sK2,sK1,sK2,sK0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_12870,c_118]) ).
tcf(c_13481,plain,
! [X0: $i] :
( eqangle(sK2,sK0,sK2,sK1,sK0,X0,sK0,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_12870,c_117]) ).
tcf(c_13482,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK2,sK0,sK0,sK1,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_12870,c_116]) ).
tcf(c_13486,plain,
( coll(sK0,sK2,sK0)
| cyclic(sK0,sK1,sK0,sK2)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_12870,c_137]) ).
tcf(c_14117,plain,
! [X0: $i] :
( eqangle(X0,sK2,sK2,sK6,sK8,sK2,sK8,sK6)
| ~ perp(sK3,sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_12892,c_119]) ).
tcf(c_14154,plain,
! [X0: $i] :
( eqangle(X0,sK2,sK2,sK6,sK8,sK2,sK8,sK6)
| ~ perp(sK3,sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_12872,c_119]) ).
tcf(c_14156,plain,
! [X0: $i] :
( eqangle(sK8,sK2,sK8,sK6,sK2,X0,sK2,sK6)
| ~ perp(sK3,sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_12872,c_117]) ).
tcf(c_14384,plain,
! [X0: $i] :
( para(X0,sK0,sK0,sK1)
| ~ para(sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_13441,c_91]) ).
tcf(c_14385,plain,
! [X0: $i] :
( perp(X0,sK0,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK0)
| ~ circle(X0,sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_13441,c_110]) ).
tcf(c_14410,plain,
! [X0: $i] :
( eqangle(sK0,sK1,X0,sK0,sK2,sK1,sK2,sK0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_13479,c_118]) ).
tcf(c_14413,plain,
! [X0: $i] :
( para(X0,sK0,sK0,sK1)
| ~ para(sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_13479,c_91]) ).
tcf(c_14414,plain,
! [X0: $i] :
( perp(X0,sK0,sK0,sK0)
| ~ perp(sK3,sK0,sK0,sK0)
| ~ circle(X0,sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_13479,c_110]) ).
tcf(c_14546,plain,
! [X0: $i] :
( eqangle(sK2,sK1,sK2,sK0,sK0,sK1,sK0,X0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_13480,c_117]) ).
tcf(c_14711,plain,
! [X0: $i] :
( eqangle(sK0,sK2,sK2,sK1,sK0,X0,sK0,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_13481,c_119]) ).
tcf(c_14791,plain,
! [X0: $i] :
( para(sK0,X0,sK2,sK0)
| ~ para(sK0,sK1,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_13444,c_91]) ).
tcf(c_14804,plain,
! [X0: $i] :
( para(sK0,X0,sK2,sK0)
| ~ para(sK0,sK1,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_13482,c_91]) ).
tcf(c_14856,plain,
coll(sK0,sK2,sK0),
inference(global_subsumption_just,[status(thm)],[c_13486,c_55,c_53,c_2259,c_2296,c_2422,c_2853,c_3484,c_3575,c_4520,c_5798,c_7091,c_7576,c_7827]) ).
tcf(c_14858,plain,
! [X0: $i] :
( coll(sK0,X0,sK0)
| ~ coll(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_14856,c_82]) ).
tcf(c_14952,plain,
! [X0: $i] :
( perp(sK0,sK1,sK0,X0)
| ~ perp(sK2,sK1,sK2,sK0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_13442,c_113]) ).
tcf(c_15058,plain,
! [X0: $i] :
( perp(sK0,sK1,sK0,X0)
| ~ perp(sK2,sK1,sK2,sK0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_13480,c_113]) ).
tcf(c_15320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X3,X4,sK11(X0,X1,X2,X3,X4),X0)
| ~ perp(sK11(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_17907,plain,
! [X0: $i] :
( perp(X0,sK2,sK2,sK2)
| ~ perp(sK3,sK2,sK2,sK2)
| ~ circle(X0,sK2,sK6,sK8) ),
inference(superposition,[status(thm)],[c_14117,c_110]) ).
tcf(c_17935,plain,
! [X0: $i] :
( perp(X0,sK2,sK2,sK2)
| ~ perp(sK3,sK2,sK2,sK2)
| ~ circle(X0,sK2,sK6,sK8) ),
inference(superposition,[status(thm)],[c_14154,c_110]) ).
tcf(c_18230,plain,
( coll(sK0,sK2,sK3)
| ~ coll(sK0,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_5626]) ).
tcf(c_19583,plain,
coll(sK0,sK1,sK2),
inference(superposition,[status(thm)],[c_11878,c_84]) ).
tcf(c_22423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK5,sK2,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,sK0,sK2,sK2,sK4) ),
inference(superposition,[status(thm)],[c_53,c_115]) ).
tcf(c_22429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X4)
| ~ eqangle(X0,X1,X2,X3,sK0,X4,sK0,sK1) ),
inference(superposition,[status(thm)],[c_12870,c_115]) ).
tcf(c_22431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X2,X3,sK8,sK2,sK8,sK6)
| ~ perp(sK3,sK2,sK2,X4)
| ~ eqangle(X0,X1,X2,X3,sK2,X4,sK2,sK6) ),
inference(superposition,[status(thm)],[c_12872,c_115]) ).
tcf(c_22433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK0,sK2,sK2,sK4)
| ~ eqangle(X0,X1,X2,X3,sK5,sK2,sK2,sK1) ),
inference(superposition,[status(thm)],[c_8020,c_115]) ).
tcf(c_22434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK1,sK5,sK2)
| ~ eqangle(X0,X1,X2,X3,sK2,sK4,sK0,sK2) ),
inference(superposition,[status(thm)],[c_8094,c_115]) ).
tcf(c_23955,plain,
eqangle(sK5,sK2,sK2,sK1,sK5,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_8020,c_22423]) ).
tcf(c_23956,plain,
eqangle(sK2,sK5,sK2,sK1,sK5,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_8408,c_22423]) ).
tcf(c_24040,plain,
eqangle(sK2,sK1,sK5,sK2,sK2,sK1,sK5,sK2),
inference(superposition,[status(thm)],[c_23955,c_118]) ).
tcf(c_24204,plain,
para(sK2,sK5,sK5,sK2),
inference(superposition,[status(thm)],[c_23956,c_98]) ).
tcf(c_24424,plain,
eqangle(sK0,sK2,sK2,sK4,sK0,sK2,sK2,sK4),
inference(superposition,[status(thm)],[c_53,c_22433]) ).
tcf(c_24426,plain,
eqangle(sK2,sK0,sK2,sK4,sK0,sK2,sK2,sK4),
inference(superposition,[status(thm)],[c_8181,c_22433]) ).
tcf(c_24504,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_24424,c_98]) ).
tcf(c_24536,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK2,sK0,sK2) ),
inference(superposition,[status(thm)],[c_24504,c_94]) ).
tcf(c_24541,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24536,c_24504]) ).
tcf(c_25298,plain,
para(sK2,sK0,sK0,sK2),
inference(superposition,[status(thm)],[c_24426,c_98]) ).
tcf(c_25354,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK8)
| ~ coll(sK8,X0,X2)
| ~ coll(sK8,X0,X1) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_25355,plain,
( coll(sK2,sK2,sK8)
| ~ coll(sK8,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_25354]) ).
tcf(c_25873,plain,
! [X0: $i] :
( eqangle(sK8,sK2,sK8,sK6,sK8,sK2,sK8,sK6)
| ~ perp(sK3,sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_14156,c_22431]) ).
tcf(c_25951,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK11(sK24(sK0,sK1,sK2,sK3),sK3,sK0,X0,X1),sK24(sK0,sK1,sK2,sK3))
| ~ perp(sK11(sK24(sK0,sK1,sK2,sK3),sK3,sK0,X0,X1),sK24(sK0,sK1,sK2,sK3),X0,X1) ),
inference(instantiation,[status(thm)],[c_15320]) ).
tcf(c_25953,plain,
( perp(sK2,sK2,sK11(sK24(sK0,sK1,sK2,sK3),sK3,sK0,sK2,sK2),sK24(sK0,sK1,sK2,sK3))
| ~ perp(sK11(sK24(sK0,sK1,sK2,sK3),sK3,sK0,sK2,sK2),sK24(sK0,sK1,sK2,sK3),sK2,sK2) ),
inference(instantiation,[status(thm)],[c_25951]) ).
tcf(c_25987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_97,c_135]) ).
tcf(c_26108,plain,
( cong(sK2,sK2,sK2,sK2)
| ~ cyclic(sK2,sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_25987]) ).
tcf(c_26906,plain,
para(sK2,sK5,sK2,sK5),
inference(superposition,[status(thm)],[c_24204,c_103]) ).
tcf(c_28050,plain,
para(sK2,sK0,sK2,sK0),
inference(superposition,[status(thm)],[c_25298,c_103]) ).
tcf(c_28991,plain,
eqangle(sK1,sK2,sK5,sK2,sK2,sK1,sK5,sK2),
inference(superposition,[status(thm)],[c_9379,c_22434]) ).
tcf(c_29744,plain,
coll(sK0,sK0,sK0),
inference(superposition,[status(thm)],[c_14856,c_14858]) ).
tcf(c_30518,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_107]) ).
tcf(c_30520,plain,
( perp(sK2,sK6,sK6,sK8)
| ~ coll(sK3,sK2,sK8) ),
inference(superposition,[status(thm)],[c_54,c_107]) ).
tcf(c_30571,plain,
( perp(sK0,sK1,sK2,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_30518,c_125]) ).
tcf(c_30592,plain,
( perp(sK6,sK8,sK2,sK6)
| ~ coll(sK3,sK2,sK8) ),
inference(superposition,[status(thm)],[c_30520,c_124]) ).
tcf(c_30607,plain,
( perp(sK2,sK1,sK0,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_30571,c_124]) ).
tcf(c_30658,plain,
( cong(sK2,sK0,sK2,sK1)
| ~ midp(sK1,sK0,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_30607,c_122]) ).
tcf(c_30745,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK6,X0,X1)
| ~ coll(sK3,sK2,sK8)
| ~ perp(sK6,sK8,X0,X1) ),
inference(superposition,[status(thm)],[c_30520,c_100]) ).
tcf(c_30752,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK1,X0,X1)
| ~ coll(sK3,sK0,sK2)
| ~ perp(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_30607,c_100]) ).
tcf(c_30786,plain,
( para(sK2,sK1,sK2,sK2)
| ~ coll(sK3,sK0,sK2)
| ~ perp(sK0,sK1,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_30752]) ).
tcf(c_31472,plain,
( para(sK2,sK6,sK2,sK6)
| ~ coll(sK3,sK2,sK8) ),
inference(superposition,[status(thm)],[c_30592,c_30745]) ).
tcf(c_33307,plain,
! [X0: $i] :
( midp(X0,sK6,sK6)
| ~ coll(sK3,sK2,sK8)
| ~ midp(X0,sK2,sK2)
| ~ para(sK2,sK6,sK2,sK6) ),
inference(superposition,[status(thm)],[c_31472,c_94]) ).
tcf(c_33346,plain,
( midp(sK2,sK6,sK6)
| ~ midp(sK2,sK2,sK2)
| ~ coll(sK3,sK2,sK8)
| ~ para(sK2,sK6,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_33307]) ).
tcf(c_36634,plain,
para(sK2,sK1,sK2,sK1),
inference(superposition,[status(thm)],[c_24040,c_98]) ).
tcf(c_39058,plain,
para(sK1,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_28991,c_98]) ).
tcf(c_40330,plain,
! [X0: $i] :
( coll(sK3,sK0,sK0)
| ~ coll(sK0,X0,sK3)
| ~ coll(sK0,X0,sK0) ),
inference(instantiation,[status(thm)],[c_7705]) ).
tcf(c_40332,plain,
( coll(sK3,sK0,sK0)
| ~ coll(sK0,sK2,sK3)
| ~ coll(sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_40330]) ).
tcf(c_40884,plain,
! [X0: $i,X1: $i] :
( coll(sK8,X0,X1)
| ~ para(sK8,X0,sK8,X1) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_40885,plain,
( coll(sK8,sK2,sK2)
| ~ para(sK8,sK2,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_40884]) ).
tcf(c_41290,plain,
! [X0: $i] :
( midp(X0,sK5,sK5)
| ~ midp(X0,sK2,sK2)
| ~ para(sK2,sK5,sK2,sK5) ),
inference(superposition,[status(thm)],[c_26906,c_94]) ).
tcf(c_41295,plain,
! [X0: $i] :
( midp(X0,sK5,sK5)
| ~ midp(X0,sK2,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41290,c_26906]) ).
tcf(c_41298,plain,
( midp(sK2,sK5,sK5)
| ~ midp(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_41295]) ).
tcf(c_42025,plain,
! [X0: $i] :
( midp(sK0,X0,sK0)
| ~ midp(sK2,X0,sK2)
| ~ coll(sK0,X0,sK0) ),
inference(superposition,[status(thm)],[c_28050,c_81]) ).
tcf(c_42029,plain,
! [X0: $i] :
( midp(X0,sK0,sK0)
| ~ midp(X0,sK2,sK2)
| ~ para(sK2,sK0,sK2,sK0) ),
inference(superposition,[status(thm)],[c_28050,c_94]) ).
tcf(c_42034,plain,
! [X0: $i] :
( midp(X0,sK0,sK0)
| ~ midp(X0,sK2,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42029,c_28050]) ).
tcf(c_42037,plain,
( midp(sK2,sK0,sK0)
| ~ midp(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_42034]) ).
tcf(c_42038,plain,
( midp(sK0,sK2,sK0)
| ~ midp(sK2,sK2,sK2)
| ~ coll(sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_42025]) ).
tcf(c_42293,plain,
! [X0: $i] :
( midp(sK1,X0,sK1)
| ~ midp(sK2,X0,sK2)
| ~ coll(sK1,X0,sK1) ),
inference(superposition,[status(thm)],[c_36634,c_81]) ).
tcf(c_42297,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ midp(X0,sK2,sK2)
| ~ para(sK2,sK1,sK2,sK1) ),
inference(superposition,[status(thm)],[c_36634,c_94]) ).
tcf(c_42302,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ midp(X0,sK2,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42297,c_36634]) ).
tcf(c_42305,plain,
( midp(sK2,sK1,sK1)
| ~ midp(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_42302]) ).
tcf(c_42306,plain,
( midp(sK1,sK2,sK1)
| ~ midp(sK2,sK2,sK2)
| ~ coll(sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_42293]) ).
tcf(c_42582,plain,
! [X0: $i] :
( midp(sK2,X0,sK1)
| ~ midp(sK1,X0,sK2)
| ~ coll(sK2,X0,sK1) ),
inference(superposition,[status(thm)],[c_39058,c_81]) ).
tcf(c_42599,plain,
( midp(sK2,sK2,sK1)
| ~ midp(sK1,sK2,sK2)
| ~ coll(sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_42582]) ).
tcf(c_46404,plain,
! [X0: $i] :
( perp(sK3,sK0,sK0,X0)
| ~ circle(sK3,sK0,sK1,sK2)
| ~ eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_47128,plain,
! [X0: $i] :
( coll(sK3,sK8,sK2)
| ~ coll(sK2,X0,sK8)
| ~ coll(sK2,X0,sK3) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_47129,plain,
( coll(sK3,sK8,sK2)
| ~ coll(sK2,sK2,sK8)
| ~ coll(sK2,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_47128]) ).
tcf(c_54629,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK3,sK2,sK2,X2)
| ~ para(sK3,sK2,X0,X1)
| ~ perp(X0,X1,sK2,X2) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_54630,plain,
( perp(sK3,sK2,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK2)
| ~ para(sK3,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_54629]) ).
tcf(c_54807,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK5,sK0,sK1)
| ~ perp(sK6,sK5,X0,X1)
| ~ perp(X0,X1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_54810,plain,
( para(sK6,sK5,sK0,sK1)
| ~ perp(sK2,sK2,sK0,sK1)
| ~ perp(sK6,sK5,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_54807]) ).
tcf(c_54863,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK3,sK0,X2,sK0)
| ~ para(sK3,sK0,X0,X1)
| ~ perp(X0,X1,X2,sK0) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_54864,plain,
( perp(sK3,sK0,sK2,sK0)
| ~ perp(sK2,sK2,sK2,sK0)
| ~ para(sK3,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_54863]) ).
tcf(c_54996,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ eqangle(sK0,X0,sK2,sK0,sK0,sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_55913,plain,
( perp(sK3,sK0,sK0,sK0)
| ~ circle(sK3,sK0,sK1,sK2)
| ~ eqangle(sK0,sK0,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_46404]) ).
tcf(c_56754,plain,
! [X0: $i,X1: $i] :
( para(sK3,X0,sK3,X1)
| ~ para(sK3,X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_56755,plain,
( para(sK3,sK2,sK3,sK2)
| ~ para(sK3,sK2,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_56754]) ).
tcf(c_57579,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK2,sK0)
| ~ para(sK2,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_57580,plain,
( para(sK2,sK2,sK2,sK0)
| ~ para(sK2,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_57579]) ).
tcf(c_58006,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK2,sK0,sK0,sK1,sK2,sK1)
| ~ eqangle(sK2,sK0,sK0,X0,sK2,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_58496,plain,
! [X0: $i,X1: $i] :
( perp(sK6,sK5,X0,X1)
| ~ perp(X0,X1,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_58497,plain,
( perp(sK6,sK5,sK2,sK2)
| ~ perp(sK2,sK2,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_58496]) ).
tcf(c_60851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ perp(X0,X1,sK11(sK24(sK0,sK1,sK2,sK3),sK3,sK0,X0,X1),sK24(sK0,sK1,sK2,sK3))
| ~ perp(sK11(sK24(sK0,sK1,sK2,sK3),sK3,sK0,X0,X1),sK24(sK0,sK1,sK2,sK3),X2,X3) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_60852,plain,
( para(sK2,sK2,sK2,sK2)
| ~ perp(sK2,sK2,sK11(sK24(sK0,sK1,sK2,sK3),sK3,sK0,sK2,sK2),sK24(sK0,sK1,sK2,sK3))
| ~ perp(sK11(sK24(sK0,sK1,sK2,sK3),sK3,sK0,sK2,sK2),sK24(sK0,sK1,sK2,sK3),sK2,sK2) ),
inference(instantiation,[status(thm)],[c_60851]) ).
tcf(c_62002,plain,
! [X0: $i,X1: $i] :
( perp(sK0,sK1,X0,X1)
| ~ perp(X0,X1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_62003,plain,
( perp(sK0,sK1,sK2,sK2)
| ~ perp(sK2,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_62002]) ).
tcf(c_62721,plain,
( eqangle(sK0,sK1,sK2,sK0,sK0,sK1,sK2,sK1)
| ~ eqangle(sK2,sK0,sK0,sK1,sK2,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_58006]) ).
tcf(c_62722,plain,
( eqangle(sK2,sK0,sK0,sK1,sK2,sK1,sK0,sK1)
| ~ para(sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_65975,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK3,sK2,X1,X2)
| ~ midp(sK2,X0,X2)
| ~ midp(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_65976,plain,
( para(sK3,sK2,sK2,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ midp(sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_65975]) ).
tcf(c_66273,plain,
! [X0: $i,X1: $i] :
( perp(sK0,sK2,sK2,sK1)
| ~ perp(X0,X1,sK2,sK1)
| ~ para(sK0,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_66274,plain,
( perp(sK0,sK2,sK2,sK1)
| ~ perp(sK2,sK2,sK2,sK1)
| ~ para(sK0,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_66273]) ).
tcf(c_67111,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK1)
| ~ cong(X0,sK1,X1,sK1)
| ~ cong(X0,sK0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_67112,plain,
( perp(sK2,sK2,sK0,sK1)
| ~ cong(sK2,sK1,sK2,sK1)
| ~ cong(sK2,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_67111]) ).
tcf(c_67210,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK6,sK5)
| ~ cong(X0,sK5,X1,sK5)
| ~ cong(X0,sK6,X1,sK6) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_67211,plain,
( perp(sK2,sK2,sK6,sK5)
| ~ cong(sK2,sK5,sK2,sK5)
| ~ cong(sK2,sK6,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_67210]) ).
tcf(c_67342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK2,sK0,X2,X3)
| ~ para(sK2,sK0,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_67343,plain,
( perp(sK2,sK0,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK2)
| ~ para(sK2,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_67342]) ).
tcf(c_68301,plain,
( eqangle(sK0,sK0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ midp(sK1,sK0,sK1)
| ~ circle(sK2,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_68969,plain,
! [X0: $i] :
( perp(X0,sK2,sK2,sK1)
| ~ cong(X0,sK2,sK2,sK2)
| ~ cong(X0,sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_68970,plain,
( perp(sK2,sK2,sK2,sK1)
| ~ cong(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_68969]) ).
tcf(c_69419,plain,
! [X0: $i,X1: $i] :
( midp(sK1,sK0,sK1)
| ~ coll(sK1,sK0,sK1)
| ~ midp(X0,sK0,X1)
| ~ para(X0,sK1,X1,sK1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_69420,plain,
( midp(sK1,sK0,sK1)
| ~ midp(sK2,sK0,sK2)
| ~ coll(sK1,sK0,sK1)
| ~ para(sK2,sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_69419]) ).
tcf(c_69451,plain,
! [X0: $i] :
( midp(X0,sK1,sK2)
| ~ midp(X0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_69452,plain,
( midp(sK2,sK1,sK2)
| ~ midp(sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_69451]) ).
tcf(c_69555,plain,
! [X0: $i] :
( cong(X0,sK6,X0,sK6)
| ~ midp(X0,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_69556,plain,
( cong(sK2,sK6,sK2,sK6)
| ~ midp(sK2,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_69555]) ).
tcf(c_69589,plain,
cong(sK0,sK2,sK0,sK1),
inference(global_subsumption_just,[status(thm)],[c_6158,c_55,c_51,c_53,c_153,c_797,c_889,c_2257,c_2259,c_2296,c_2423,c_2474,c_2473,c_2505,c_2541,c_2888,c_3177,c_3484,c_3575,c_3594,c_4366,c_4587,c_5129,c_6369,c_6504,c_6541,c_7091,c_7576,c_7682,c_8713,c_10877,c_11712,c_12556,c_25953,c_26108,c_42306,c_56755,c_60852]) ).
tcf(c_69596,plain,
( midp(sK0,sK2,sK1)
| ~ coll(sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_69589,c_78]) ).
tcf(c_69599,plain,
cong(sK0,sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_69589,c_128]) ).
tcf(c_69600,plain,
midp(sK0,sK2,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_69596,c_11878]) ).
tcf(c_70166,plain,
( midp(sK0,sK1,sK2)
| ~ coll(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_69599,c_78]) ).
tcf(c_70170,plain,
midp(sK0,sK1,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_70166,c_19583]) ).
tcf(c_70216,plain,
! [X0: $i,X1: $i] :
( para(X0,sK0,X1,sK2)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_70170,c_96]) ).
tcf(c_70225,plain,
( para(sK2,sK0,sK2,sK2)
| ~ midp(sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_70216]) ).
tcf(c_70282,plain,
! [X0: $i,X1: $i] :
( para(X0,sK0,X1,sK1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_69600,c_96]) ).
tcf(c_70291,plain,
( para(sK2,sK0,sK2,sK1)
| ~ midp(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_70282]) ).
tcf(c_71196,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_71276,plain,
( para(sK0,sK1,sK2,sK1)
| ~ perp(sK3,sK0,sK0,sK2) ),
inference(superposition,[status(thm)],[c_14410,c_98]) ).
tcf(c_71911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK0,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK0,X2,X1)
| ~ para(X0,X1,X2,sK0) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_71912,plain,
( midp(sK2,sK0,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK0)
| ~ para(sK2,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_71911]) ).
tcf(c_72718,plain,
( eqangle(sK2,sK1,sK2,sK0,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_14546,c_22429]) ).
tcf(c_72773,plain,
! [X0: $i] :
( cong(X0,sK5,X0,sK5)
| ~ midp(X0,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_72774,plain,
( cong(sK2,sK5,sK2,sK5)
| ~ midp(sK2,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_72773]) ).
tcf(c_72791,plain,
! [X0: $i] :
( cong(X0,sK0,X0,sK0)
| ~ midp(X0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_72792,plain,
( cong(sK2,sK0,sK2,sK0)
| ~ midp(sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_72791]) ).
tcf(c_73067,plain,
! [X0: $i] :
( eqangle(sK0,sK2,sK2,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_14711,c_22429]) ).
tcf(c_78681,plain,
! [X0: $i] :
( cong(X0,sK1,X0,sK1)
| ~ midp(X0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_78682,plain,
( cong(sK2,sK1,sK2,sK1)
| ~ midp(sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_78681]) ).
tcf(c_78978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK1,X3,X2)
| ~ coll(sK1,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK1,X1,X2) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_78979,plain,
( midp(sK1,sK2,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ coll(sK1,sK2,sK2)
| ~ para(sK2,sK1,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_78978]) ).
tcf(c_80014,plain,
( perp(sK2,sK1,sK2,sK0)
| ~ perp(sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_72718,c_113]) ).
tcf(c_80434,plain,
( circle(sK2,sK0,sK0,sK1)
| ~ midp(sK2,sK0,sK0)
| ~ cong(sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_5558]) ).
tcf(c_81778,plain,
~ coll(sK3,sK2,sK8),
inference(global_subsumption_just,[status(thm)],[c_5398,c_55,c_49,c_153,c_797,c_889,c_2259,c_2423,c_2474,c_2473,c_3177,c_4587,c_6504,c_6541,c_7563,c_8713,c_10877,c_11712,c_11751,c_25953,c_26108,c_33346,c_41298,c_42037,c_42305,c_54810,c_56755,c_58497,c_60852,c_67112,c_67211,c_69556,c_72774,c_72792,c_78682]) ).
tcf(c_81923,plain,
! [X0: $i] :
( para(X0,sK0,sK0,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_14413,c_55,c_153,c_797,c_889,c_2259,c_2423,c_2474,c_2473,c_3177,c_4587,c_6504,c_6541,c_8713,c_10877,c_11712,c_14384,c_25953,c_26108,c_56755,c_60852,c_70291]) ).
tcf(c_81944,plain,
! [X0: $i] :
( perp(X0,sK0,sK0,sK0)
| ~ circle(X0,sK0,sK1,sK2) ),
inference(global_subsumption_just,[status(thm)],[c_14414,c_55,c_51,c_50,c_53,c_153,c_797,c_889,c_2256,c_2257,c_2259,c_2296,c_2369,c_2423,c_2474,c_2473,c_2513,c_2887,c_2888,c_3177,c_3474,c_3484,c_3575,c_3768,c_4267,c_4366,c_4587,c_5510,c_6123,c_6369,c_6504,c_6541,c_6838,c_7091,c_7320,c_7576,c_7682,c_8657,c_8713,c_9227,c_10877,c_11712,c_12556,c_14385,c_25953,c_26108,c_30658,c_30786,c_42037,c_42305,c_42599,c_55913,c_56755,c_57580,c_60852,c_62003,c_67112,c_68301,c_69420,c_69452,c_70225,c_71912,c_72792,c_78682,c_78979,c_80434]) ).
tcf(c_81951,plain,
perp(sK3,sK0,sK0,sK0),
inference(superposition,[status(thm)],[c_50,c_81944]) ).
tcf(c_81980,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK0,X0,X1)
| ~ perp(sK0,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_81951,c_100]) ).
tcf(c_81981,plain,
( cong(sK3,sK0,sK3,sK0)
| ~ midp(sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_81951,c_122]) ).
tcf(c_81985,plain,
para(sK0,sK0,sK0,sK1),
inference(superposition,[status(thm)],[c_81951,c_81923]) ).
tcf(c_81987,plain,
eqangle(sK0,sK2,sK2,sK1,sK2,sK0,sK2,sK1),
inference(superposition,[status(thm)],[c_81951,c_73067]) ).
tcf(c_82027,plain,
( para(sK3,sK0,sK2,sK2)
| ~ perp(sK0,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_81980]) ).
tcf(c_82864,plain,
! [X0: $i,X1: $i] :
( perp(sK0,sK0,X0,X1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_81985,c_99]) ).
tcf(c_82880,plain,
( perp(sK0,sK0,sK2,sK2)
| ~ perp(sK0,sK1,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_82864]) ).
tcf(c_83124,plain,
eqangle(sK2,sK0,sK2,sK1,sK0,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_81987,c_117]) ).
tcf(c_83453,plain,
( midp(sK3,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK3,sK0,sK0) ),
inference(superposition,[status(thm)],[c_81981,c_78]) ).
tcf(c_83915,plain,
( perp(sK3,sK0,sK0,sK1)
| ~ circle(sK3,sK0,sK1,sK2)
| ~ eqangle(sK0,sK1,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_46404]) ).
tcf(c_84748,plain,
( eqangle(sK0,sK1,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ eqangle(sK0,sK1,sK2,sK0,sK0,sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_54996]) ).
tcf(c_86976,plain,
( perp(sK2,sK0,sK2,sK1)
| ~ perp(sK0,sK2,sK2,sK1) ),
inference(superposition,[status(thm)],[c_83124,c_113]) ).
tcf(c_87794,plain,
! [X0: $i] :
( midp(sK0,sK0,X0)
| ~ midp(sK0,X0,sK0)
| ~ coll(sK0,sK0,X0) ),
inference(instantiation,[status(thm)],[c_3621]) ).
tcf(c_87796,plain,
( midp(sK0,sK0,sK2)
| ~ midp(sK0,sK2,sK0)
| ~ coll(sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_87794]) ).
tcf(c_91564,plain,
( midp(sK3,sK0,sK0)
| ~ midp(sK0,sK0,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_83453,c_55,c_53,c_889,c_2259,c_2296,c_2422,c_2474,c_2473,c_2853,c_3484,c_3575,c_4520,c_5798,c_6504,c_7091,c_7576,c_7827,c_8713,c_11617,c_11712,c_12556,c_18230,c_40332,c_56755,c_83453]) ).
tcf(c_93899,plain,
! [X0: $i] :
( para(sK0,X0,sK2,sK0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_14804,c_55,c_53,c_153,c_155,c_797,c_889,c_2257,c_2259,c_2296,c_2369,c_2423,c_2474,c_2473,c_2888,c_3177,c_3484,c_3575,c_4267,c_4366,c_4587,c_5510,c_6369,c_6504,c_6541,c_6838,c_7091,c_7320,c_7576,c_7682,c_8657,c_8713,c_9227,c_10877,c_11194,c_11341,c_11712,c_12556,c_14791,c_25953,c_26108,c_30786,c_42037,c_42305,c_42599,c_54864,c_56755,c_60852,c_62003,c_67112,c_67343,c_69452,c_70225,c_71276,c_72792,c_78682,c_78979,c_82027,c_82880]) ).
tcf(c_93905,plain,
para(sK0,sK0,sK2,sK0),
inference(superposition,[status(thm)],[c_81951,c_93899]) ).
tcf(c_93925,plain,
! [X0: $i] :
( midp(sK0,X0,sK0)
| ~ midp(sK0,X0,sK2)
| ~ coll(sK0,X0,sK0) ),
inference(superposition,[status(thm)],[c_93905,c_81]) ).
tcf(c_95672,plain,
( midp(sK0,sK0,sK0)
| ~ midp(sK0,sK0,sK2) ),
inference(superposition,[status(thm)],[c_29744,c_93925]) ).
tcf(c_96628,plain,
! [X0: $i] :
( perp(sK0,sK1,sK0,X0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_15058,c_55,c_50,c_53,c_153,c_797,c_889,c_2257,c_2259,c_2296,c_2298,c_2369,c_2423,c_2474,c_2473,c_2888,c_3177,c_3484,c_3485,c_3575,c_4070,c_4267,c_4366,c_4587,c_5510,c_6369,c_6504,c_6541,c_6838,c_6884,c_7091,c_7320,c_7576,c_7682,c_8657,c_8713,c_9227,c_10877,c_11712,c_12556,c_13308,c_14952,c_25953,c_26108,c_30786,c_42037,c_42305,c_42599,c_56755,c_60852,c_62003,c_62721,c_62722,c_66274,c_67112,c_68970,c_69452,c_70225,c_70291,c_72792,c_78682,c_78979,c_80014,c_83915,c_84748,c_86976]) ).
tcf(c_96635,plain,
perp(sK0,sK1,sK0,sK0),
inference(superposition,[status(thm)],[c_81951,c_96628]) ).
tcf(c_96637,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ midp(sK1,sK0,sK0) ),
inference(superposition,[status(thm)],[c_96635,c_122]) ).
tcf(c_97290,plain,
cong(sK0,sK0,sK0,sK0),
inference(global_subsumption_just,[status(thm)],[c_96637,c_55,c_53,c_153,c_797,c_889,c_2259,c_2296,c_2422,c_2423,c_2474,c_2473,c_2853,c_3177,c_3484,c_3575,c_4520,c_4587,c_5798,c_6504,c_6541,c_7091,c_7576,c_7697,c_7827,c_8713,c_10877,c_11712,c_25953,c_26108,c_42038,c_56755,c_60852,c_71196,c_87796,c_95672]) ).
tcf(c_97297,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_97290,c_78]) ).
tcf(c_97302,plain,
midp(sK0,sK0,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_97297,c_29744]) ).
tcf(c_97318,plain,
midp(sK3,sK0,sK0),
inference(backward_subsumption_resolution,[status(thm)],[c_91564,c_97302]) ).
tcf(c_100446,plain,
midp(sK3,sK2,sK2),
inference(superposition,[status(thm)],[c_97318,c_24541]) ).
tcf(c_102016,plain,
! [X0: $i] :
( perp(X0,sK2,sK2,sK2)
| ~ circle(X0,sK2,sK6,sK8) ),
inference(global_subsumption_just,[status(thm)],[c_17935,c_55,c_153,c_155,c_797,c_889,c_2259,c_2423,c_2474,c_2473,c_3177,c_4587,c_6504,c_6541,c_8713,c_10877,c_11712,c_17907,c_25953,c_26108,c_54630,c_56755,c_60852,c_65976,c_100446]) ).
tcf(c_102023,plain,
perp(sK3,sK2,sK2,sK2),
inference(superposition,[status(thm)],[c_54,c_102016]) ).
tcf(c_102083,plain,
eqangle(sK8,sK2,sK8,sK6,sK8,sK2,sK8,sK6),
inference(superposition,[status(thm)],[c_102023,c_25873]) ).
tcf(c_102728,plain,
para(sK8,sK2,sK8,sK2),
inference(superposition,[status(thm)],[c_102083,c_98]) ).
tcf(c_102744,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_102728,c_81778,c_56755,c_47129,c_40885,c_25355,c_12556,c_11712,c_8713,c_6877,c_6504,c_2473,c_2474,c_889]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO635+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n019.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Wed Sep 23 12:37:34 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 43.26/9.84 % SZS status Started for theBenchmark.p
% 43.26/9.84 % SZS status Theorem for theBenchmark.p
% 43.26/9.84
% 43.26/9.84 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 43.26/9.84
% 43.26/9.84 % ------ iProver source info
% 43.26/9.84
% 43.26/9.84 % git: date: 2026-07-19 20:42:38 +0200
% 43.26/9.84 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 43.26/9.84 % git: non_committed_changes: false
% 43.26/9.84
% 43.26/9.84 % ------ Parsing...
% 43.26/9.84 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 43.26/9.84
% 43.26/9.84 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 43.26/9.84
% 43.26/9.84 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 43.26/9.84 % ------ Proving...
% 43.26/9.84 % ------ Problem Properties
% 43.26/9.84
% 43.26/9.84 %
% 43.26/9.84 % clauses 94
% 43.26/9.84 % conjectures 7
% 43.26/9.84 % EPR 61
% 43.26/9.84 % Horn 89
% 43.26/9.84 % unary 7
% 43.26/9.84 % binary 24
% 43.26/9.84 % lits 263
% 43.26/9.84 % lits eq 0
% 43.26/9.84 % fd_pure 0
% 43.26/9.84 % fd_pseudo 0
% 43.26/9.84 % fd_cond 0
% 43.26/9.84 % fd_pseudo_cond 0
% 43.26/9.84 % AC symbols 0
% 43.26/9.84
% 43.26/9.84 % ------ Schedule dynamic 5 is on
% 43.26/9.84
% 43.26/9.84 % ------ no equalities: superposition off
% 43.26/9.84
% 43.26/9.84 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 43.26/9.84
% 43.26/9.84
% 43.26/9.84 % ------
% 43.26/9.84 % Current options:
% 43.26/9.84 % ------
% 43.26/9.84
% 43.26/9.84
% 43.26/9.84 %
% 43.26/9.84
% 43.26/9.84 % ------ Proving...
% 43.26/9.84 %
% 43.26/9.84
% 43.26/9.84 % SZS status Theorem for theBenchmark.p
% 43.26/9.84
% 43.26/9.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.26/9.85
% 43.26/9.85
%------------------------------------------------------------------------------