%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO617+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 : n009.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 01:21:39 PM UTC 2026
% Result : Theorem 39.54s 6.32s
% Output : CNFRefutation 39.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 39
% Syntax : Number of formulae : 537 ( 80 unt; 0 def)
% Number of atoms : 1287 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1418 ( 668 ~; 662 |; 48 &)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 1198 ( 0 sgn1184 !; 14 ?; 463 :)
% 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(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/sandbox/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/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(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(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox/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/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(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/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/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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X0,X1)
& perp(X5,X2,X0,X1)
& coll(X4,X0,X1)
& eqangle(X4,X2,X2,X1,X4,X2,X2,X0)
& circle(X3,X0,X1,X2) )
=> eqangle(X5,X2,X2,X4,X4,X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618079) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X0,X1)
& perp(X5,X2,X0,X1)
& coll(X4,X0,X1)
& eqangle(X4,X2,X2,X1,X4,X2,X2,X0)
& circle(X3,X0,X1,X2) )
=> eqangle(X5,X2,X2,X4,X4,X2,X2,X3) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5] :
( coll(X5,X0,X1)
& perp(X5,X2,X0,X1)
& coll(X4,X0,X1)
& eqangle(X4,X2,X2,X1,X4,X2,X2,X0)
& circle(X3,X0,X1,X2)
& ~ eqangle(X5,X2,X2,X4,X4,X2,X2,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5] :
( coll(X5,X0,X1)
& perp(X5,X2,X0,X1)
& coll(X4,X0,X1)
& eqangle(X4,X2,X2,X1,X4,X2,X2,X0)
& circle(X3,X0,X1,X2)
& ~ eqangle(X5,X2,X2,X4,X4,X2,X2,X3) ),
inference(flattening,[],[f98]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f136]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f148]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f160,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f159]) ).
fof(f167,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(f168,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,[],[f167]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f169]) ).
fof(f171,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(f172,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,[],[f171]) ).
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] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f185,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,[],[f184]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f186]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f189,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f188]) ).
fof(f190,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(f191,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f195,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(f196,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f195]) ).
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(f220,plain,
( coll(sK5,sK0,sK1)
& perp(sK5,sK2,sK0,sK1)
& coll(sK4,sK0,sK1)
& eqangle(sK4,sK2,sK2,sK1,sK4,sK2,sK2,sK0)
& circle(sK3,sK0,sK1,sK2)
& ~ eqangle(sK5,sK2,sK2,sK4,sK4,sK2,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f99]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK21(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X4,sK21(X0,X1,X2,X3))],[f158]) ).
fof(f239,plain,
coll(sK5,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f240,plain,
perp(sK5,sK2,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK4,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
eqangle(sK4,sK2,sK2,sK1,sK4,sK2,sK2,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
~ eqangle(sK5,sK2,sK2,sK4,sK4,sK2,sK2,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f270,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(f271,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f278,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f284,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f151]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f290,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK21(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f236]) ).
fof(f291,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f295,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,[],[f168]) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f297,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,[],[f172]) ).
fof(f299,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(f300,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(f301,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(f302,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(f303,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(f304,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(f305,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(f309,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,[],[f185]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f312,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,[],[f191]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f316,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,[],[f196]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f319,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f324,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(f325,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]) ).
tcf(c_49,negated_conjecture,
~ eqangle(sK5,sK2,sK2,sK4,sK4,sK2,sK2,sK3),
inference(cnf_transformation,[],[f244]) ).
tcf(c_50,negated_conjecture,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f243]) ).
tcf(c_51,negated_conjecture,
eqangle(sK4,sK2,sK2,sK1,sK4,sK2,sK2,sK0),
inference(cnf_transformation,[],[f242]) ).
tcf(c_52,negated_conjecture,
coll(sK4,sK0,sK1),
inference(cnf_transformation,[],[f241]) ).
tcf(c_53,negated_conjecture,
perp(sK5,sK2,sK0,sK1),
inference(cnf_transformation,[],[f240]) ).
tcf(c_54,negated_conjecture,
coll(sK5,sK0,sK1),
inference(cnf_transformation,[],[f239]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_80,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,[],[f270]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_88,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,[],[f278]) ).
tcf(c_91,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,[],[f281]) ).
tcf(c_92,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,[],[f282]) ).
tcf(c_93,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,[],[f283]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_95,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,[],[f285]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK21(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_101,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,[],[f291]) ).
tcf(c_105,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,[],[f295]) ).
tcf(c_106,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,[],[f296]) ).
tcf(c_107,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,[],[f297]) ).
tcf(c_109,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,[],[f299]) ).
tcf(c_110,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,[],[f300]) ).
tcf(c_111,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,[],[f301]) ).
tcf(c_112,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,[],[f302]) ).
tcf(c_113,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,[],[f303]) ).
tcf(c_114,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,[],[f304]) ).
tcf(c_115,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,[],[f305]) ).
tcf(c_119,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,[],[f309]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_121,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,[],[f311]) ).
tcf(c_122,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,[],[f312]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_134,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,[],[f324]) ).
tcf(c_135,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,[],[f325]) ).
tcf(c_152,plain,
( midp(sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_156,plain,
( perp(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_794,plain,
perp(sK21(sK0,sK1,sK2,sK3),sK0,sK0,sK3),
inference(resolution,[status(thm)],[c_50,c_100]) ).
tcf(c_2028,plain,
( coll(sK0,sK5,sK1)
| ~ coll(sK5,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2031,plain,
( perp(sK0,sK1,sK5,sK2)
| ~ perp(sK5,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_2032,plain,
( perp(sK5,sK2,sK1,sK0)
| ~ perp(sK5,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_2046,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK2,X0,X1)
| ~ perp(sK5,sK2,sK0,sK1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_2047,plain,
( para(sK5,sK2,sK2,sK2)
| ~ perp(sK0,sK1,sK2,sK2)
| ~ perp(sK5,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2046]) ).
tcf(c_2075,plain,
( eqangle(sK4,sK2,sK2,sK0,sK4,sK2,sK2,sK1)
| ~ eqangle(sK4,sK2,sK2,sK1,sK4,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_2076,plain,
( eqangle(sK2,sK1,sK4,sK2,sK2,sK0,sK4,sK2)
| ~ eqangle(sK4,sK2,sK2,sK1,sK4,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_2104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK0)
| ~ eqangle(sK4,sK2,sK2,sK1,sK4,sK2,sK2,sK0)
| ~ eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_2148,plain,
( coll(sK0,sK1,sK5)
| ~ coll(sK0,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2220,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK0,sK1,sK5,sK2)
| ~ perp(sK5,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_2222,plain,
( perp(sK0,sK1,sK2,sK5)
| ~ perp(sK0,sK1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_2264,plain,
( perp(sK21(sK0,sK1,sK2,sK3),sK0,sK3,sK0)
| ~ perp(sK21(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_2265,plain,
( perp(sK0,sK3,sK21(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK21(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_2286,plain,
( eqangle(sK2,sK0,sK4,sK2,sK2,sK1,sK4,sK2)
| ~ eqangle(sK4,sK2,sK2,sK0,sK4,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_2296,plain,
( para(sK2,sK1,sK2,sK0)
| ~ eqangle(sK2,sK1,sK4,sK2,sK2,sK0,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_2303,plain,
( para(sK5,sK2,sK5,sK2)
| ~ perp(sK0,sK1,sK5,sK2)
| ~ perp(sK5,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2046]) ).
tcf(c_2304,plain,
( eqangle(sK4,sK2,sK2,sK0,sK4,sK2,sK2,sK0)
| ~ eqangle(sK4,sK2,sK2,sK1,sK4,sK2,sK2,sK0)
| ~ eqangle(sK4,sK2,sK2,sK0,sK4,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2104]) ).
tcf(c_2633,plain,
! [X0: $i] :
( coll(sK5,X0,sK0)
| ~ coll(sK0,sK1,sK5)
| ~ coll(sK0,sK1,X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_2636,plain,
( coll(sK5,sK2,sK0)
| ~ coll(sK0,sK1,sK2)
| ~ coll(sK0,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_2633]) ).
tcf(c_2708,plain,
coll(sK0,sK4,sK1),
inference(superposition,[status(thm)],[c_52,c_82]) ).
tcf(c_2714,plain,
coll(sK0,sK4,sK1),
inference(superposition,[status(thm)],[c_52,c_82]) ).
tcf(c_2725,plain,
( perp(sK2,sK5,sK0,sK1)
| ~ perp(sK0,sK1,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_2739,plain,
coll(sK4,sK1,sK0),
inference(superposition,[status(thm)],[c_52,c_83]) ).
tcf(c_2748,plain,
coll(sK0,sK1,sK4),
inference(superposition,[status(thm)],[c_2714,c_83]) ).
tcf(c_2808,plain,
( perp(sK3,sK0,sK21(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK21(sK0,sK1,sK2,sK3),sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_2822,plain,
coll(sK1,sK0,sK4),
inference(superposition,[status(thm)],[c_2748,c_82]) ).
tcf(c_2835,plain,
( perp(sK0,sK3,sK0,sK21(sK0,sK1,sK2,sK3))
| ~ perp(sK0,sK3,sK21(sK0,sK1,sK2,sK3),sK0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_2863,plain,
perp(sK0,sK1,sK5,sK2),
inference(superposition,[status(thm)],[c_53,c_96]) ).
tcf(c_2868,plain,
perp(sK0,sK1,sK5,sK2),
inference(superposition,[status(thm)],[c_53,c_96]) ).
tcf(c_2875,plain,
perp(sK5,sK2,sK1,sK0),
inference(superposition,[status(thm)],[c_53,c_97]) ).
tcf(c_2876,plain,
perp(sK0,sK1,sK2,sK5),
inference(superposition,[status(thm)],[c_2863,c_97]) ).
tcf(c_2966,plain,
( para(sK2,sK0,sK2,sK1)
| ~ eqangle(sK2,sK0,sK4,sK2,sK2,sK1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_3005,plain,
( coll(sK2,sK1,sK0)
| ~ para(sK2,sK1,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_3101,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK2,X0,X1,sK5,sK2,X0,X1)
| ~ para(sK5,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_3102,plain,
( eqangle(sK5,sK2,sK2,sK2,sK5,sK2,sK2,sK2)
| ~ para(sK5,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_3101]) ).
tcf(c_3103,plain,
( coll(sK5,sK2,sK2)
| ~ para(sK5,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_3128,plain,
( para(sK4,sK2,sK4,sK2)
| ~ eqangle(sK4,sK2,sK2,sK0,sK4,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_3174,plain,
( para(sK0,sK1,sK1,sK0)
| ~ perp(sK0,sK1,sK5,sK2)
| ~ perp(sK5,sK2,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2220]) ).
tcf(c_3210,plain,
! [X0: $i] :
( coll(sK1,X0,sK0)
| ~ coll(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_2708,c_81]) ).
tcf(c_3212,plain,
! [X0: $i] :
( coll(sK0,X0,sK4)
| ~ coll(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_2739,c_81]) ).
tcf(c_3262,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_52,c_81]) ).
tcf(c_3272,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_2822,c_81]) ).
tcf(c_3446,plain,
coll(sK1,sK1,sK4),
inference(superposition,[status(thm)],[c_52,c_3262]) ).
tcf(c_3454,plain,
coll(sK1,sK4,sK1),
inference(superposition,[status(thm)],[c_3446,c_83]) ).
tcf(c_3464,plain,
! [X0: $i] :
( coll(sK1,X0,sK1)
| ~ coll(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_3454,c_81]) ).
tcf(c_3596,plain,
coll(sK1,sK1,sK0),
inference(superposition,[status(thm)],[c_2708,c_3210]) ).
tcf(c_3612,plain,
coll(sK1,sK0,sK1),
inference(superposition,[status(thm)],[c_3596,c_83]) ).
tcf(c_3674,plain,
coll(sK0,sK0,sK4),
inference(superposition,[status(thm)],[c_2739,c_3212]) ).
tcf(c_3922,plain,
! [X0: $i] :
( coll(sK1,X0,sK1)
| ~ coll(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_3612,c_81]) ).
tcf(c_3927,plain,
( coll(sK1,sK2,sK1)
| ~ coll(sK1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_3922]) ).
tcf(c_3934,plain,
coll(sK0,sK4,sK0),
inference(superposition,[status(thm)],[c_3674,c_83]) ).
tcf(c_4007,plain,
( para(sK1,sK0,sK0,sK1)
| ~ para(sK0,sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_4239,plain,
coll(sK1,sK0,sK0),
inference(superposition,[status(thm)],[c_3934,c_3210]) ).
tcf(c_4693,plain,
coll(sK0,sK1,sK0),
inference(superposition,[status(thm)],[c_4239,c_82]) ).
tcf(c_4838,plain,
! [X0: $i] :
( coll(sK0,X0,sK2)
| ~ coll(sK2,sK1,sK0)
| ~ coll(sK2,sK1,X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_4841,plain,
( coll(sK0,sK2,sK2)
| ~ coll(sK2,sK1,sK0)
| ~ coll(sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_4838]) ).
tcf(c_4893,plain,
! [X0: $i] :
( coll(sK2,X0,sK5)
| ~ coll(sK5,sK2,sK2)
| ~ coll(sK5,sK2,X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_4895,plain,
( coll(sK2,sK5,sK2)
| ~ coll(sK5,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_4896,plain,
( coll(sK2,sK2,sK5)
| ~ coll(sK5,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_4893]) ).
tcf(c_4898,plain,
! [X0: $i,X1: $i] :
( midp(sK5,sK2,sK2)
| ~ coll(sK5,sK2,sK2)
| ~ midp(X0,sK2,X1)
| ~ para(X0,sK5,X1,sK2) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_4899,plain,
( midp(sK5,sK2,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ coll(sK5,sK2,sK2)
| ~ para(sK2,sK5,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_4898]) ).
tcf(c_4904,plain,
! [X0: $i] :
( cyclic(X0,sK2,sK5,sK2)
| ~ coll(sK5,sK2,sK2)
| ~ eqangle(sK5,X0,sK5,sK2,sK2,X0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_4905,plain,
( cyclic(sK2,sK2,sK5,sK2)
| ~ coll(sK5,sK2,sK2)
| ~ eqangle(sK5,sK2,sK5,sK2,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_4904]) ).
tcf(c_4955,plain,
( cong(sK5,sK0,sK5,sK1)
| ~ midp(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_53,c_92]) ).
tcf(c_4958,plain,
( cong(sK5,sK1,sK5,sK0)
| ~ midp(sK2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_2875,c_92]) ).
tcf(c_4990,plain,
( cong(sK5,sK0,sK5,sK1)
| ~ midp(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_53,c_92]) ).
tcf(c_5082,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK5,X0,X1)
| ~ perp(sK2,sK5,sK0,sK1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_5087,plain,
( para(sK2,sK5,sK2,sK2)
| ~ perp(sK0,sK1,sK2,sK2)
| ~ perp(sK2,sK5,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_5082]) ).
tcf(c_5635,plain,
( cong(sK5,sK0,sK5,sK1)
| ~ midp(sK2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_4958,c_127]) ).
tcf(c_5918,plain,
( perp(sK3,sK0,sK0,sK21(sK0,sK1,sK2,sK3))
| ~ perp(sK3,sK0,sK21(sK0,sK1,sK2,sK3),sK0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_5941,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK2,X0,X1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_53,c_95]) ).
tcf(c_5944,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK5,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_2863,c_95]) ).
tcf(c_5992,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK5,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_2868,c_95]) ).
tcf(c_6023,plain,
( para(sK2,sK0,sK1,sK2)
| ~ para(sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_6159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ midp(X0,X1,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_125,c_106]) ).
tcf(c_6160,plain,
! [X0: $i] :
( circle(sK5,sK0,sK1,X0)
| ~ midp(sK2,sK0,sK1)
| ~ cong(sK5,sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_4955,c_106]) ).
tcf(c_6215,plain,
! [X0: $i] :
( circle(sK5,sK0,sK1,X0)
| ~ midp(sK2,sK0,sK1)
| ~ cong(sK5,sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_4990,c_106]) ).
tcf(c_6402,plain,
! [X0: $i] :
( coll(sK0,X0,sK0)
| ~ coll(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_4693,c_81]) ).
tcf(c_6409,plain,
( coll(sK0,sK2,sK0)
| ~ coll(sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_6402]) ).
tcf(c_6484,plain,
para(sK5,sK2,sK5,sK2),
inference(superposition,[status(thm)],[c_2863,c_5941]) ).
tcf(c_6485,plain,
para(sK5,sK2,sK2,sK5),
inference(superposition,[status(thm)],[c_2876,c_5941]) ).
tcf(c_6507,plain,
! [X0: $i,X1: $i] :
( eqangle(sK4,sK2,X0,X1,sK4,sK2,X0,X1)
| ~ para(sK4,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_6508,plain,
( eqangle(sK4,sK2,sK2,sK2,sK4,sK2,sK2,sK2)
| ~ para(sK4,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_6507]) ).
tcf(c_6534,plain,
coll(sK5,sK2,sK2),
inference(superposition,[status(thm)],[c_6484,c_78]) ).
tcf(c_6671,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK2,sK5,sK2,X0,X1,X0,X1)
| ~ eqangle(sK5,sK2,X0,X1,sK5,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_6672,plain,
( eqangle(sK5,sK2,sK5,sK2,sK2,sK2,sK2,sK2)
| ~ eqangle(sK5,sK2,sK2,sK2,sK5,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_6671]) ).
tcf(c_6675,plain,
( eqangle(sK5,sK2,sK5,sK2,sK5,sK2,sK5,sK2)
| ~ para(sK5,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_3101]) ).
tcf(c_7477,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK0,X0,X1)
| ~ para(sK1,sK0,sK0,sK1)
| ~ para(sK0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_7483,plain,
( para(sK1,sK0,sK2,sK2)
| ~ para(sK1,sK0,sK0,sK1)
| ~ para(sK0,sK1,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_7477]) ).
tcf(c_7612,plain,
para(sK0,sK1,sK1,sK0),
inference(superposition,[status(thm)],[c_2875,c_5944]) ).
tcf(c_7617,plain,
para(sK0,sK1,sK0,sK1),
inference(superposition,[status(thm)],[c_53,c_5992]) ).
tcf(c_7631,plain,
para(sK1,sK0,sK0,sK1),
inference(superposition,[status(thm)],[c_7612,c_123]) ).
tcf(c_7784,plain,
eqangle(sK4,sK2,sK4,sK2,sK2,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_51,c_112]) ).
tcf(c_7796,plain,
eqangle(sK4,sK2,sK4,sK2,sK2,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_51,c_112]) ).
tcf(c_7826,plain,
eqangle(sK4,sK2,sK2,sK0,sK4,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_51,c_113]) ).
tcf(c_7840,plain,
eqangle(sK4,sK2,sK2,sK0,sK4,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_51,c_113]) ).
tcf(c_7864,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK0,X1)
| ~ coll(sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_7865,plain,
( coll(sK2,sK0,sK2)
| ~ coll(sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_7864]) ).
tcf(c_7872,plain,
! [X0: $i] :
( coll(sK0,sK5,X0)
| ~ coll(sK5,sK0,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_7873,plain,
( coll(sK0,sK5,sK2)
| ~ coll(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_7872]) ).
tcf(c_7922,plain,
! [X0: $i] :
( coll(sK5,sK0,X0)
| ~ coll(sK5,X0,sK0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_7923,plain,
( coll(sK5,sK0,sK2)
| ~ coll(sK5,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_7922]) ).
tcf(c_7924,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK0,X1)
| ~ coll(X0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_7934,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK1,X1)
| ~ coll(X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_7935,plain,
( coll(sK2,sK1,sK2)
| ~ coll(sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_7934]) ).
tcf(c_7985,plain,
eqangle(sK2,sK1,sK4,sK2,sK2,sK0,sK4,sK2),
inference(superposition,[status(thm)],[c_51,c_114]) ).
tcf(c_7999,plain,
eqangle(sK2,sK1,sK4,sK2,sK2,sK0,sK4,sK2),
inference(superposition,[status(thm)],[c_51,c_114]) ).
tcf(c_8178,plain,
coll(sK2,sK5,sK2),
inference(superposition,[status(thm)],[c_6534,c_82]) ).
tcf(c_8255,plain,
eqangle(sK2,sK4,sK4,sK2,sK2,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_7784,c_115]) ).
tcf(c_8257,plain,
eqangle(sK2,sK1,sK2,sK0,sK4,sK2,sK4,sK2),
inference(superposition,[status(thm)],[c_7784,c_113]) ).
tcf(c_8262,plain,
eqangle(sK2,sK4,sK4,sK2,sK2,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_7796,c_115]) ).
tcf(c_8349,plain,
eqangle(sK1,sK2,sK4,sK2,sK2,sK0,sK4,sK2),
inference(superposition,[status(thm)],[c_7985,c_115]) ).
tcf(c_8354,plain,
para(sK2,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_7985,c_110]) ).
tcf(c_8362,plain,
para(sK2,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_7999,c_110]) ).
tcf(c_8446,plain,
para(sK2,sK0,sK2,sK1),
inference(superposition,[status(thm)],[c_8354,c_123]) ).
tcf(c_8447,plain,
coll(sK2,sK1,sK0),
inference(superposition,[status(thm)],[c_8354,c_78]) ).
tcf(c_8454,plain,
coll(sK2,sK1,sK0),
inference(superposition,[status(thm)],[c_8362,c_78]) ).
tcf(c_8616,plain,
! [X0: $i,X1: $i] :
( coll(sK0,X1,X0)
| ~ coll(sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_9013,plain,
! [X0: $i] :
( coll(sK2,X0,sK2)
| ~ coll(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_8178,c_81]) ).
tcf(c_9018,plain,
( coll(sK2,sK2,sK2)
| ~ coll(sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_9013]) ).
tcf(c_9059,plain,
coll(sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_8447,c_83]) ).
tcf(c_9060,plain,
coll(sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_8447,c_82]) ).
tcf(c_9066,plain,
coll(sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_8454,c_82]) ).
tcf(c_9107,plain,
coll(sK0,sK2,sK1),
inference(superposition,[status(thm)],[c_9059,c_82]) ).
tcf(c_9179,plain,
para(sK1,sK2,sK2,sK0),
inference(superposition,[status(thm)],[c_8349,c_110]) ).
tcf(c_9614,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK1,X2,X0)
| ~ coll(X0,X1,sK1)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_9615,plain,
( coll(sK1,sK2,sK2)
| ~ coll(sK2,sK2,sK1)
| ~ coll(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_9614]) ).
tcf(c_9752,plain,
! [X0: $i] :
( midp(sK2,X0,sK5)
| ~ midp(sK5,X0,sK2)
| ~ coll(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_6485,c_80]) ).
tcf(c_9784,plain,
( midp(sK2,sK2,sK5)
| ~ midp(sK5,sK2,sK2)
| ~ coll(sK2,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_9752]) ).
tcf(c_9804,plain,
! [X0: $i] :
( midp(sK1,X0,sK1)
| ~ midp(sK0,X0,sK0)
| ~ coll(sK1,X0,sK1) ),
inference(superposition,[status(thm)],[c_7617,c_80]) ).
tcf(c_9900,plain,
coll(sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_9060,c_83]) ).
tcf(c_9905,plain,
coll(sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_9066,c_83]) ).
tcf(c_9936,plain,
coll(sK0,sK1,sK2),
inference(superposition,[status(thm)],[c_9107,c_83]) ).
tcf(c_10016,plain,
! [X0: $i] :
( coll(sK2,X0,sK1)
| ~ coll(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_9900,c_81]) ).
tcf(c_10023,plain,
( coll(sK2,sK2,sK1)
| ~ coll(sK1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_10016]) ).
tcf(c_10028,plain,
coll(sK4,sK2,sK1),
inference(superposition,[status(thm)],[c_9905,c_3272]) ).
tcf(c_10372,plain,
( circle(sK5,sK0,sK1,sK1)
| ~ midp(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_4955,c_6160]) ).
tcf(c_10410,plain,
( circle(sK5,sK0,sK1,sK1)
| ~ midp(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_4990,c_6215]) ).
tcf(c_10602,plain,
( perp(sK0,sK1,sK1,sK1)
| ~ midp(sK2,sK0,sK1)
| ~ coll(sK5,sK0,sK1) ),
inference(superposition,[status(thm)],[c_10372,c_101]) ).
tcf(c_10603,plain,
( perp(sK0,sK1,sK1,sK1)
| ~ midp(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10602,c_54]) ).
tcf(c_10610,plain,
( perp(sK0,sK1,sK1,sK1)
| ~ midp(sK2,sK0,sK1)
| ~ coll(sK5,sK0,sK1) ),
inference(superposition,[status(thm)],[c_10410,c_101]) ).
tcf(c_10611,plain,
( perp(sK0,sK1,sK1,sK1)
| ~ midp(sK2,sK0,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10610,c_54]) ).
tcf(c_10631,plain,
! [X0: $i] :
( cong(sK0,X0,sK1,X0)
| ~ midp(sK2,sK0,sK1)
| ~ midp(X0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_10603,c_93]) ).
tcf(c_10636,plain,
( perp(sK1,sK1,sK0,sK1)
| ~ midp(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_10603,c_96]) ).
tcf(c_10657,plain,
( cong(sK0,sK2,sK1,sK2)
| ~ midp(sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_10631]) ).
tcf(c_10671,plain,
( perp(sK1,sK1,sK0,sK1)
| ~ midp(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_10611,c_96]) ).
tcf(c_10773,plain,
( perp(sK1,sK1,sK1,sK0)
| ~ midp(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_10636,c_97]) ).
tcf(c_10795,plain,
( perp(sK1,sK1,sK1,sK0)
| ~ midp(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_10671,c_97]) ).
tcf(c_11440,plain,
coll(sK4,sK1,sK2),
inference(superposition,[status(thm)],[c_10028,c_83]) ).
tcf(c_12438,plain,
( perp(sK2,sK4,sK4,sK2)
| ~ perp(sK2,sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_8255,c_88]) ).
tcf(c_12440,plain,
( perp(sK2,sK1,sK2,sK0)
| ~ perp(sK4,sK2,sK4,sK2) ),
inference(superposition,[status(thm)],[c_8257,c_88]) ).
tcf(c_12506,plain,
( perp(sK2,sK4,sK4,sK2)
| ~ perp(sK2,sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_8262,c_88]) ).
tcf(c_13432,plain,
( coll(sK3,sK0,sK2)
| ~ coll(sK0,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_7864]) ).
tcf(c_13490,plain,
! [X0: $i] :
( coll(sK0,sK0,X0)
| ~ coll(sK0,X0,sK0) ),
inference(instantiation,[status(thm)],[c_7924]) ).
tcf(c_13491,plain,
( coll(sK0,sK0,sK2)
| ~ coll(sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_13490]) ).
tcf(c_13561,plain,
coll(sK1,sK4,sK2),
inference(superposition,[status(thm)],[c_11440,c_82]) ).
tcf(c_13581,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK3,X2,X0)
| ~ coll(X0,X1,sK3)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_14395,plain,
! [X0: $i] :
( midp(X0,sK1,sK0)
| ~ midp(X0,sK2,sK2)
| ~ para(sK2,sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_8354,c_119]) ).
tcf(c_14448,plain,
( midp(sK2,sK1,sK0)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_14395]) ).
tcf(c_17134,plain,
! [X0: $i,X1: $i] :
( coll(sK3,X1,X0)
| ~ coll(X0,sK0,sK3)
| ~ coll(X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_13581]) ).
tcf(c_17136,plain,
( coll(sK3,sK2,sK2)
| ~ coll(sK2,sK0,sK3)
| ~ coll(sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_17134]) ).
tcf(c_17198,plain,
! [X0: $i] :
( coll(X0,sK0,sK3)
| ~ coll(sK0,X0,sK3) ),
inference(instantiation,[status(thm)],[c_7864]) ).
tcf(c_17199,plain,
( coll(sK2,sK0,sK3)
| ~ coll(sK0,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_17198]) ).
tcf(c_21220,plain,
para(sK1,sK0,sK1,sK0),
inference(superposition,[status(thm)],[c_7631,c_124]) ).
tcf(c_21570,plain,
! [X0: $i] :
( midp(X0,sK0,sK1)
| ~ midp(X0,sK2,sK2)
| ~ para(sK2,sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_8446,c_119]) ).
tcf(c_21572,plain,
para(sK2,sK0,sK1,sK2),
inference(superposition,[status(thm)],[c_8446,c_124]) ).
tcf(c_21580,plain,
! [X0: $i] :
( midp(X0,sK0,sK1)
| ~ midp(X0,sK2,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21570,c_8354]) ).
tcf(c_21583,plain,
( midp(sK2,sK0,sK1)
| ~ midp(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_21580]) ).
tcf(c_21828,plain,
! [X0: $i,X1: $i] :
( coll(sK5,sK5,X0)
| ~ coll(X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_21829,plain,
( coll(sK5,sK5,sK2)
| ~ coll(sK2,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_21828]) ).
tcf(c_21887,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK2,sK0)
| ~ para(X0,X1,sK1,sK2) ),
inference(superposition,[status(thm)],[c_9179,c_122]) ).
tcf(c_21900,plain,
( para(sK2,sK2,sK2,sK0)
| ~ para(sK2,sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_21887]) ).
tcf(c_22166,plain,
coll(sK1,sK2,sK1),
inference(superposition,[status(thm)],[c_13561,c_3464]) ).
tcf(c_22904,plain,
( midp(sK1,sK2,sK1)
| ~ midp(sK0,sK2,sK0) ),
inference(superposition,[status(thm)],[c_22166,c_9804]) ).
tcf(c_22923,plain,
( coll(sK0,sK2,sK3)
| ~ coll(sK0,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_8616]) ).
tcf(c_23791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK0) ),
inference(superposition,[status(thm)],[c_7840,c_111]) ).
tcf(c_23936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK0) ),
inference(superposition,[status(thm)],[c_7826,c_111]) ).
tcf(c_25655,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK0,X0,X1)
| ~ para(sK2,sK0,sK1,sK2)
| ~ para(sK1,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_25661,plain,
( para(sK2,sK0,sK2,sK2)
| ~ para(sK1,sK2,sK2,sK2)
| ~ para(sK2,sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_25655]) ).
tcf(c_26320,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK1)
| ~ perp(sK5,sK2,sK0,sK1)
| ~ para(X0,X1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_26330,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ circle(sK3,sK0,sK1,sK2)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_26346,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK5,sK2)
| ~ perp(sK0,sK1,sK5,sK2)
| ~ para(X0,X1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_26379,plain,
! [X0: $i,X1: $i] :
( para(sK21(sK0,sK1,sK2,sK3),sK0,X0,X1)
| ~ perp(sK0,sK3,X0,X1)
| ~ perp(sK21(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_26430,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK2,sK5)
| ~ perp(sK0,sK1,sK2,sK5)
| ~ para(X0,X1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_26451,plain,
( coll(sK0,sK3,sK2)
| ~ para(sK0,sK3,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_26814,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK0,X0,X1)
| ~ perp(sK3,sK0,sK21(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK21(sK0,sK1,sK2,sK3),sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_26827,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK3,X0,X1)
| ~ perp(sK0,sK3,sK0,sK21(sK0,sK1,sK2,sK3))
| ~ perp(sK0,sK21(sK0,sK1,sK2,sK3),X0,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_27000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK2,sK0,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_27065,plain,
( cyclic(sK2,sK2,sK5,sK5)
| ~ coll(sK5,sK5,sK2)
| ~ eqangle(sK5,sK2,sK5,sK2,sK5,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_28032,plain,
( eqangle(sK0,sK21(sK0,sK1,sK2,sK3),sK0,sK1,sK2,sK0,sK2,sK1)
| ~ circle(sK3,sK0,sK1,sK2)
| ~ perp(sK3,sK0,sK0,sK21(sK0,sK1,sK2,sK3)) ),
inference(instantiation,[status(thm)],[c_26330]) ).
tcf(c_28542,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK2,X0,X1)
| ~ cyclic(sK2,sK2,sK5,sK5)
| ~ cyclic(sK2,sK2,sK5,X1)
| ~ cyclic(sK2,sK2,sK5,X0)
| ~ eqangle(sK5,sK2,sK5,sK2,sK5,X0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_134]) ).
tcf(c_28543,plain,
( cong(sK2,sK2,sK2,sK2)
| ~ cyclic(sK2,sK2,sK5,sK2)
| ~ cyclic(sK2,sK2,sK5,sK5)
| ~ eqangle(sK5,sK2,sK5,sK2,sK5,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_28542]) ).
tcf(c_29024,plain,
! [X0: $i,X1: $i] :
( eqangle(sK4,sK2,sK4,sK2,X0,X1,X0,X1)
| ~ eqangle(sK4,sK2,X0,X1,sK4,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_29025,plain,
( eqangle(sK4,sK2,sK4,sK2,sK2,sK2,sK2,sK2)
| ~ eqangle(sK4,sK2,sK2,sK2,sK4,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_29024]) ).
tcf(c_29663,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK1,sK0)
| ~ para(sK1,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_29664,plain,
( para(sK2,sK2,sK1,sK0)
| ~ para(sK1,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_29663]) ).
tcf(c_29675,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK2,sK5)
| ~ para(sK2,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_29676,plain,
( para(sK2,sK2,sK2,sK5)
| ~ para(sK2,sK5,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_29675]) ).
tcf(c_29688,plain,
! [X0: $i] :
( para(sK2,X0,sK2,sK3)
| ~ para(sK2,sK3,sK2,X0) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_29689,plain,
( para(sK2,sK2,sK2,sK3)
| ~ para(sK2,sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_29688]) ).
tcf(c_29750,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK0,sK1)
| ~ para(sK2,sK0,sK2,sK1)
| ~ eqangle(X0,X1,sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_27000]) ).
tcf(c_29874,plain,
! [X0: $i,X1: $i] :
( perp(sK5,sK2,X0,X1)
| ~ perp(X0,X1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_29902,plain,
! [X0: $i,X1: $i] :
( perp(sK5,sK2,X1,X0)
| ~ perp(sK5,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_29974,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK2,X0,X1)
| ~ para(X0,X1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_30517,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK3,sK0,sK0,X2)
| ~ para(sK3,sK0,X0,X1)
| ~ perp(X0,X1,sK0,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_30525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK5,sK2,X2,X3)
| ~ para(sK5,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_30526,plain,
( perp(sK5,sK2,sK2,sK2)
| ~ para(sK5,sK2,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_30525]) ).
tcf(c_30533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK0,sK3,X2,X3)
| ~ para(sK0,sK3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_30557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK5,sK2)
| ~ perp(X2,X3,sK5,sK2)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_30563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,sK1,X2,X3)
| ~ perp(sK0,sK1,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_30564,plain,
( para(sK0,sK1,sK2,sK2)
| ~ perp(sK0,sK1,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_30563]) ).
tcf(c_30591,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK3,sK0,sK2)
| ~ perp(sK0,sK3,X0,X1)
| ~ perp(X0,X1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_30592,plain,
( para(sK0,sK3,sK0,sK2)
| ~ perp(sK0,sK3,sK2,sK2)
| ~ perp(sK2,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_30591]) ).
tcf(c_30801,plain,
( para(sK0,sK21(sK0,sK1,sK2,sK3),sK0,sK1)
| ~ para(sK2,sK0,sK2,sK1)
| ~ eqangle(sK0,sK21(sK0,sK1,sK2,sK3),sK0,sK1,sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_29750]) ).
tcf(c_31829,plain,
( midp(sK3,sK0,sK2)
| ~ coll(sK3,sK0,sK2)
| ~ cong(sK3,sK0,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_31834,plain,
! [X0: $i,X1: $i] :
( midp(sK3,X0,X1)
| ~ coll(sK3,X0,X1)
| ~ cong(sK3,X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_31835,plain,
( midp(sK3,sK2,sK2)
| ~ coll(sK3,sK2,sK2)
| ~ cong(sK3,sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_31834]) ).
tcf(c_31846,plain,
( midp(sK3,sK2,sK0)
| ~ midp(sK3,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_32114,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,X2,sK0,sK1)
| ~ midp(X0,X2,sK1)
| ~ midp(X0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_32169,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,sK0,sK1)
| ~ midp(X2,X1,sK0)
| ~ midp(X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_32203,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK3,sK2,X1)
| ~ midp(sK2,X0,sK2)
| ~ midp(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_32204,plain,
( para(sK2,sK3,sK2,sK2)
| ~ midp(sK3,sK2,sK2)
| ~ midp(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_32203]) ).
tcf(c_32299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK4,sK2)
| ~ perp(X2,X3,sK4,sK2)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_32413,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK5,sK2)
| ~ perp(sK5,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_32414,plain,
( perp(sK2,sK2,sK5,sK2)
| ~ perp(sK5,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_32413]) ).
tcf(c_32581,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK3,X1,sK3,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK3,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_32757,plain,
! [X0: $i,X1: $i] :
( perp(sK0,sK1,X0,X1)
| ~ cong(sK0,X1,sK1,X1)
| ~ cong(sK0,X0,sK1,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_32758,plain,
( perp(sK0,sK1,sK2,sK2)
| ~ cong(sK0,sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_32757]) ).
tcf(c_32836,plain,
( perp(sK21(sK0,sK1,sK2,sK3),sK0,sK5,sK2)
| ~ perp(sK0,sK1,sK5,sK2)
| ~ para(sK21(sK0,sK1,sK2,sK3),sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_26346]) ).
tcf(c_32837,plain,
( para(sK3,sK0,sK5,sK2)
| ~ perp(sK3,sK0,sK21(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK21(sK0,sK1,sK2,sK3),sK0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_26814]) ).
tcf(c_32839,plain,
( perp(sK0,sK21(sK0,sK1,sK2,sK3),sK5,sK2)
| ~ perp(sK0,sK1,sK5,sK2)
| ~ para(sK0,sK21(sK0,sK1,sK2,sK3),sK0,sK1) ),
inference(instantiation,[status(thm)],[c_26346]) ).
tcf(c_32840,plain,
( para(sK0,sK3,sK5,sK2)
| ~ perp(sK0,sK3,sK0,sK21(sK0,sK1,sK2,sK3))
| ~ perp(sK0,sK21(sK0,sK1,sK2,sK3),sK5,sK2) ),
inference(instantiation,[status(thm)],[c_26827]) ).
tcf(c_32863,plain,
( perp(sK0,sK3,sK0,sK1)
| ~ para(sK0,sK3,sK5,sK2)
| ~ perp(sK5,sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_26320]) ).
tcf(c_32865,plain,
( para(sK21(sK0,sK1,sK2,sK3),sK0,sK0,sK1)
| ~ perp(sK0,sK3,sK0,sK1)
| ~ perp(sK21(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_26379]) ).
tcf(c_32949,plain,
! [X0: $i] :
( perp(sK3,sK0,sK0,X0)
| ~ para(sK3,sK0,sK5,sK2)
| ~ perp(sK5,sK2,sK0,X0) ),
inference(instantiation,[status(thm)],[c_30517]) ).
tcf(c_32950,plain,
( perp(sK3,sK0,sK0,sK2)
| ~ para(sK3,sK0,sK5,sK2)
| ~ perp(sK5,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_32949]) ).
tcf(c_33150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(sK3,X3,sK3,X2)
| ~ cong(sK3,X3,X0,X1)
| ~ cong(X0,X1,sK3,X2) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_33971,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK3)
| ~ perp(sK0,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_33972,plain,
( perp(sK2,sK2,sK0,sK3)
| ~ perp(sK0,sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_33971]) ).
tcf(c_33997,plain,
! [X0: $i,X1: $i] :
( midp(sK0,sK5,sK2)
| ~ coll(sK0,sK5,sK2)
| ~ midp(X0,sK5,X1)
| ~ para(X0,sK0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_33998,plain,
( midp(sK0,sK5,sK2)
| ~ midp(sK2,sK5,sK2)
| ~ coll(sK0,sK5,sK2)
| ~ para(sK2,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_33997]) ).
tcf(c_36155,plain,
( perp(sK5,sK2,sK3,sK0)
| ~ perp(sK5,sK2,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_29902]) ).
tcf(c_37596,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK5,sK2)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK2,X1,sK5)
| ~ para(X0,sK5,X1,sK2) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_37597,plain,
( midp(sK2,sK5,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK5)
| ~ para(sK2,sK5,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_37596]) ).
tcf(c_37636,plain,
! [X0: $i] :
( perp(sK5,sK2,sK0,X0)
| ~ perp(sK0,X0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_29874]) ).
tcf(c_37637,plain,
( perp(sK5,sK2,sK0,sK2)
| ~ perp(sK0,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_37636]) ).
tcf(c_38107,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK2,sK1)
| ~ para(X0,X1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_38108,plain,
( para(sK2,sK2,sK2,sK1)
| ~ para(sK2,sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_38107]) ).
tcf(c_38194,plain,
( para(sK5,sK2,sK2,sK4)
| ~ para(sK2,sK4,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_29974]) ).
tcf(c_38310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK2,sK2,sK4,sK4,sK2,sK2,sK3)
| ~ eqangle(sK5,sK2,sK2,sK4,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_38311,plain,
( eqangle(sK5,sK2,sK2,sK4,sK4,sK2,sK2,sK3)
| ~ eqangle(sK2,sK2,sK2,sK2,sK4,sK2,sK2,sK3)
| ~ eqangle(sK5,sK2,sK2,sK4,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_38310]) ).
tcf(c_39643,plain,
eqangle(sK4,sK2,sK2,sK1,sK4,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_51,c_23936]) ).
tcf(c_39659,plain,
eqangle(sK4,sK2,sK2,sK1,sK4,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_51,c_23791]) ).
tcf(c_39760,plain,
eqangle(sK2,sK1,sK4,sK2,sK2,sK1,sK4,sK2),
inference(superposition,[status(thm)],[c_39643,c_114]) ).
tcf(c_39769,plain,
eqangle(sK2,sK1,sK4,sK2,sK2,sK1,sK4,sK2),
inference(superposition,[status(thm)],[c_39659,c_114]) ).
tcf(c_40735,plain,
! [X0: $i] :
( midp(X0,sK0,sK0)
| ~ midp(X0,sK1,sK1)
| ~ para(sK1,sK0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_21220,c_119]) ).
tcf(c_40743,plain,
! [X0: $i] :
( midp(X0,sK0,sK0)
| ~ midp(X0,sK1,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40735,c_21220]) ).
tcf(c_40746,plain,
( midp(sK2,sK0,sK0)
| ~ midp(sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_40743]) ).
tcf(c_40845,plain,
! [X0: $i] :
( midp(X0,sK0,sK2)
| ~ midp(X0,sK2,sK1)
| ~ para(sK2,sK2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_21572,c_119]) ).
tcf(c_40859,plain,
( midp(sK2,sK0,sK2)
| ~ midp(sK2,sK2,sK1)
| ~ para(sK2,sK2,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_40845]) ).
tcf(c_40976,plain,
para(sK2,sK1,sK2,sK1),
inference(superposition,[status(thm)],[c_39760,c_110]) ).
tcf(c_40984,plain,
para(sK2,sK1,sK2,sK1),
inference(superposition,[status(thm)],[c_39769,c_110]) ).
tcf(c_41677,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ midp(X0,sK2,sK2)
| ~ para(sK2,sK1,sK2,sK1) ),
inference(superposition,[status(thm)],[c_40976,c_119]) ).
tcf(c_41678,plain,
! [X0: $i] :
( midp(sK1,X0,sK1)
| ~ midp(sK2,X0,sK2)
| ~ coll(sK1,X0,sK1) ),
inference(superposition,[status(thm)],[c_40976,c_80]) ).
tcf(c_41685,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ midp(X0,sK2,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41677,c_40976]) ).
tcf(c_41688,plain,
( midp(sK2,sK1,sK1)
| ~ midp(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_41685]) ).
tcf(c_41689,plain,
( midp(sK1,sK2,sK1)
| ~ midp(sK2,sK2,sK2)
| ~ coll(sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_41678]) ).
tcf(c_41693,plain,
para(sK2,sK1,sK1,sK2),
inference(superposition,[status(thm)],[c_40984,c_124]) ).
tcf(c_42148,plain,
! [X0: $i] :
( perp(sK0,X0,sK5,sK2)
| ~ perp(sK0,sK1,sK5,sK2)
| ~ para(sK0,X0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_26346]) ).
tcf(c_42149,plain,
( perp(sK0,sK2,sK5,sK2)
| ~ para(sK0,sK2,sK0,sK1)
| ~ perp(sK0,sK1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_42148]) ).
tcf(c_42259,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK5,sK0,X1)
| ~ midp(sK5,X0,X2)
| ~ para(X0,sK0,X2,X1)
| ~ para(X0,X1,X2,sK0) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_42260,plain,
( midp(sK5,sK0,sK2)
| ~ midp(sK5,sK2,sK2)
| ~ para(sK2,sK0,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_42259]) ).
tcf(c_42966,plain,
( cong(sK5,sK0,sK5,sK1)
| ~ midp(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_53,c_92]) ).
tcf(c_43119,plain,
cong(sK5,sK0,sK5,sK1),
inference(global_subsumption_just,[status(thm)],[c_42966,c_53,c_51,c_152,c_2031,c_2075,c_2286,c_2303,c_2966,c_3102,c_3103,c_4895,c_4896,c_4905,c_5635,c_6672,c_6675,c_9018,c_14448,c_21829,c_27065,c_28543]) ).
tcf(c_43125,plain,
! [X0: $i] :
( circle(sK5,sK0,X0,sK1)
| ~ midp(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_43119,c_6159]) ).
tcf(c_44019,plain,
! [X0: $i] :
( perp(sK0,X0,X0,sK1)
| ~ coll(sK5,sK0,sK1)
| ~ midp(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_43125,c_101]) ).
tcf(c_44020,plain,
! [X0: $i] :
( perp(sK0,X0,X0,sK1)
| ~ midp(sK5,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44019,c_54]) ).
tcf(c_44166,plain,
! [X0: $i] :
( perp(X0,sK1,sK0,X0)
| ~ midp(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_44020,c_96]) ).
tcf(c_44558,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X1,sK0,X2)
| ~ midp(sK5,sK0,X2)
| ~ para(X0,X1,X2,sK1) ),
inference(superposition,[status(thm)],[c_44166,c_94]) ).
tcf(c_44577,plain,
( perp(sK2,sK2,sK0,sK2)
| ~ midp(sK5,sK0,sK2)
| ~ para(sK2,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_44558]) ).
tcf(c_48578,plain,
para(sK1,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_41693,c_123]) ).
tcf(c_48695,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,sK3)
| ~ eqangle(X4,X5,X6,X7,sK4,sK2,sK2,sK3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_48700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK4,sK2,sK2,sK3)
| ~ eqangle(X0,X1,X2,X3,sK2,sK3,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_49135,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK4,sK2,sK2,sK3,sK4,sK2)
| ~ para(X0,X1,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_49137,plain,
( eqangle(sK2,sK2,sK4,sK2,sK2,sK3,sK4,sK2)
| ~ para(sK2,sK2,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_49135]) ).
tcf(c_49282,plain,
! [X0: $i] :
( midp(sK2,X0,sK1)
| ~ midp(sK1,X0,sK2)
| ~ coll(sK2,X0,sK1) ),
inference(superposition,[status(thm)],[c_48578,c_80]) ).
tcf(c_49293,plain,
( midp(sK2,sK2,sK1)
| ~ midp(sK1,sK2,sK2)
| ~ coll(sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_49282]) ).
tcf(c_49913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK4,sK2,sK4,sK2)
| ~ perp(X0,X1,X2,X3)
| ~ eqangle(sK4,sK2,sK4,sK2,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_49915,plain,
( perp(sK4,sK2,sK4,sK2)
| ~ perp(sK2,sK2,sK2,sK2)
| ~ eqangle(sK4,sK2,sK4,sK2,sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_49913]) ).
tcf(c_49984,plain,
( perp(sK3,sK0,sK5,sK2)
| ~ perp(sK5,sK2,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_32413]) ).
tcf(c_50176,plain,
midp(sK1,sK2,sK1),
inference(global_subsumption_just,[status(thm)],[c_22904,c_53,c_152,c_2031,c_2303,c_3102,c_3103,c_3927,c_4895,c_4896,c_4905,c_6672,c_6675,c_9018,c_9900,c_21829,c_27065,c_28543,c_41689]) ).
tcf(c_50179,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK1,X1)
| ~ midp(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_50176,c_120]) ).
tcf(c_50180,plain,
midp(sK1,sK1,sK2),
inference(superposition,[status(thm)],[c_50176,c_129]) ).
tcf(c_50189,plain,
( para(sK2,sK2,sK1,sK2)
| ~ midp(sK1,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_50179]) ).
tcf(c_50697,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK2,X1)
| ~ midp(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_50180,c_120]) ).
tcf(c_50704,plain,
( para(sK1,sK2,sK2,sK2)
| ~ midp(sK1,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_50697]) ).
tcf(c_51518,plain,
! [X0: $i] :
( midp(sK1,X0,sK2)
| ~ coll(sK1,X0,sK2)
| ~ cong(sK1,X0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_51519,plain,
( midp(sK1,sK2,sK2)
| ~ coll(sK1,sK2,sK2)
| ~ cong(sK1,sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_51518]) ).
tcf(c_52000,plain,
! [X0: $i,X1: $i] :
( para(sK0,X1,sK0,sK1)
| ~ midp(X0,sK0,sK0)
| ~ midp(X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_32114]) ).
tcf(c_52001,plain,
( para(sK0,sK2,sK0,sK1)
| ~ midp(sK2,sK0,sK0)
| ~ midp(sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_52000]) ).
tcf(c_53261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK2,X2,X3)
| ~ para(X0,X1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_53262,plain,
( eqangle(sK2,sK2,sK2,sK2,sK4,sK2,sK2,sK2)
| ~ para(sK2,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_53261]) ).
tcf(c_54249,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK4,sK5,sK2)
| ~ perp(sK2,sK4,X0,X1)
| ~ perp(X0,X1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_30557]) ).
tcf(c_54254,plain,
( para(sK2,sK4,sK5,sK2)
| ~ perp(sK2,sK4,sK2,sK2)
| ~ perp(sK2,sK2,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_54249]) ).
tcf(c_56753,plain,
perp(sK1,sK1,sK1,sK0),
inference(global_subsumption_just,[status(thm)],[c_10795,c_53,c_152,c_2031,c_2303,c_3102,c_3103,c_4895,c_4896,c_4905,c_6672,c_6675,c_9018,c_10773,c_21583,c_21829,c_27065,c_28543]) ).
tcf(c_56758,plain,
! [X0: $i] :
( cong(sK1,X0,sK1,X0)
| ~ midp(X0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_56753,c_93]) ).
tcf(c_56779,plain,
( cong(sK1,sK2,sK1,sK2)
| ~ midp(sK2,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_56758]) ).
tcf(c_58572,plain,
! [X0: $i] :
( cong(sK3,sK0,sK3,X0)
| ~ midp(sK0,sK0,X0)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(instantiation,[status(thm)],[c_32581]) ).
tcf(c_58573,plain,
( cong(sK3,sK0,sK3,sK2)
| ~ midp(sK0,sK0,sK2)
| ~ perp(sK3,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_58572]) ).
tcf(c_58580,plain,
! [X0: $i] :
( cong(sK3,sK5,sK3,sK2)
| ~ midp(X0,sK5,sK2)
| ~ perp(sK3,X0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_32581]) ).
tcf(c_58598,plain,
! [X0: $i] :
( cong(sK3,sK2,sK3,sK5)
| ~ midp(X0,sK2,sK5)
| ~ perp(sK3,X0,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_32581]) ).
tcf(c_58599,plain,
! [X0: $i] :
( perp(sK3,X0,sK2,sK5)
| ~ perp(sK0,sK1,sK2,sK5)
| ~ para(sK3,X0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_26430]) ).
tcf(c_58600,plain,
( cong(sK3,sK2,sK3,sK5)
| ~ midp(sK2,sK2,sK5)
| ~ perp(sK3,sK2,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_58598]) ).
tcf(c_58601,plain,
( perp(sK3,sK2,sK2,sK5)
| ~ para(sK3,sK2,sK0,sK1)
| ~ perp(sK0,sK1,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_58599]) ).
tcf(c_59246,plain,
! [X0: $i,X1: $i] :
( perp(sK5,sK2,sK0,sK3)
| ~ para(sK5,sK2,X0,X1)
| ~ perp(X0,X1,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_30525]) ).
tcf(c_59247,plain,
( perp(sK5,sK2,sK0,sK3)
| ~ para(sK5,sK2,sK2,sK2)
| ~ perp(sK2,sK2,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_59246]) ).
tcf(c_59677,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK0,sK0,X2)
| ~ coll(sK0,sK0,X2)
| ~ midp(X0,sK0,X1)
| ~ para(X0,sK0,X1,X2) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_59678,plain,
( midp(sK0,sK0,sK2)
| ~ midp(sK2,sK0,sK2)
| ~ coll(sK0,sK0,sK2)
| ~ para(sK2,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_59677]) ).
tcf(c_59774,plain,
! [X0: $i,X1: $i] :
( perp(sK0,sK3,X0,X1)
| ~ para(sK0,sK3,sK5,sK2)
| ~ perp(sK5,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_30533]) ).
tcf(c_59787,plain,
( perp(sK0,sK3,sK2,sK2)
| ~ para(sK0,sK3,sK5,sK2)
| ~ perp(sK5,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_59774]) ).
tcf(c_61885,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,X1,sK4,sK2)
| ~ perp(X2,sK4,sK4,sK2)
| ~ perp(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_32299]) ).
tcf(c_61887,plain,
( para(sK2,sK2,sK4,sK2)
| ~ perp(sK2,sK4,sK4,sK2)
| ~ perp(sK2,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_61885]) ).
tcf(c_62627,plain,
( cong(sK3,sK5,sK3,sK2)
| ~ midp(sK0,sK5,sK2)
| ~ perp(sK3,sK0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_58580]) ).
tcf(c_62672,plain,
! [X0: $i,X1: $i] :
( para(sK3,X0,sK0,sK1)
| ~ midp(sK3,X1,sK0)
| ~ midp(X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_32169]) ).
tcf(c_62673,plain,
( para(sK3,sK2,sK0,sK1)
| ~ midp(sK3,sK2,sK0)
| ~ midp(sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_62672]) ).
tcf(c_63757,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK2,sK4)
| ~ perp(sK2,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_63758,plain,
( perp(sK2,sK2,sK2,sK4)
| ~ perp(sK2,sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_63757]) ).
tcf(c_64296,plain,
! [X0: $i] :
( cong(sK3,X0,sK3,sK2)
| ~ cong(sK3,sK5,sK3,sK2)
| ~ cong(sK3,X0,sK3,sK5) ),
inference(instantiation,[status(thm)],[c_33150]) ).
tcf(c_64297,plain,
( cong(sK3,sK2,sK3,sK2)
| ~ cong(sK3,sK2,sK3,sK5)
| ~ cong(sK3,sK5,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_64296]) ).
tcf(c_64590,plain,
! [X0: $i,X1: $i] :
( eqangle(sK4,sK2,X0,X1,sK4,sK2,sK2,sK3)
| ~ eqangle(X0,X1,sK4,sK2,sK2,sK3,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_48700]) ).
tcf(c_64592,plain,
( eqangle(sK4,sK2,sK2,sK2,sK4,sK2,sK2,sK3)
| ~ eqangle(sK2,sK2,sK4,sK2,sK2,sK3,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_64590]) ).
tcf(c_64638,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK2,X0,X1,sK2,sK4,X0,X1)
| ~ para(sK5,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_64639,plain,
( eqangle(sK5,sK2,sK2,sK2,sK2,sK4,sK2,sK2)
| ~ para(sK5,sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_64638]) ).
tcf(c_64855,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_91]) ).
tcf(c_64856,plain,
( perp(sK2,sK4,sK2,sK2)
| ~ cong(sK2,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_64855]) ).
tcf(c_66018,plain,
perp(sK2,sK4,sK4,sK2),
inference(global_subsumption_just,[status(thm)],[c_12506,c_53,c_51,c_156,c_2031,c_2075,c_2303,c_2304,c_3102,c_3103,c_3128,c_4896,c_4905,c_6508,c_6672,c_6675,c_12440,c_12438,c_21829,c_27065,c_28543,c_29025,c_49915]) ).
tcf(c_66023,plain,
! [X0: $i] :
( cong(sK2,X0,sK4,X0)
| ~ midp(X0,sK2,sK2) ),
inference(superposition,[status(thm)],[c_66018,c_93]) ).
tcf(c_66043,plain,
( cong(sK2,sK2,sK4,sK2)
| ~ midp(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_66023]) ).
tcf(c_68877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,sK4,sK2,sK2,sK3)
| ~ eqangle(sK4,sK2,X4,X5,sK4,sK2,sK2,sK3)
| ~ eqangle(X0,X1,X2,X3,sK4,sK2,X4,X5) ),
inference(instantiation,[status(thm)],[c_48695]) ).
tcf(c_68878,plain,
( eqangle(sK2,sK2,sK2,sK2,sK4,sK2,sK2,sK3)
| ~ eqangle(sK4,sK2,sK2,sK2,sK4,sK2,sK2,sK3)
| ~ eqangle(sK2,sK2,sK2,sK2,sK4,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_68877]) ).
tcf(c_70098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK5,sK2,sK2,sK4,X0,X1,X2,X3)
| ~ eqangle(sK5,sK2,X0,X1,sK2,sK4,X2,X3) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_70099,plain,
( eqangle(sK5,sK2,sK2,sK4,sK2,sK2,sK2,sK2)
| ~ eqangle(sK5,sK2,sK2,sK2,sK2,sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_70098]) ).
tcf(c_70100,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_70099,c_68878,c_66043,c_64856,c_64639,c_64592,c_64297,c_63758,c_62673,c_62627,c_61887,c_59787,c_59678,c_59247,c_58601,c_58600,c_58573,c_56779,c_54254,c_53262,c_52001,c_51519,c_50704,c_50189,c_49984,c_49915,c_49293,c_49137,c_44577,c_42260,c_42149,c_41688,c_40859,c_40746,c_38311,c_38194,c_38108,c_37637,c_37597,c_36155,c_33998,c_33972,c_32950,c_32865,c_32863,c_32840,c_32839,c_32837,c_32836,c_32758,c_32414,c_32204,c_31846,c_31835,c_31829,c_30801,c_30592,c_30564,c_30526,c_29689,c_29676,c_29664,c_29025,c_28543,c_28032,c_27065,c_26451,c_25661,c_22923,c_21900,c_21829,c_21583,c_17199,c_17136,c_14448,c_13491,c_13432,c_12438,c_12440,c_10657,c_10023,c_9936,c_9900,c_9784,c_9615,c_9018,c_7935,c_7923,c_7873,c_7865,c_7483,c_6675,c_6672,c_6508,c_6409,c_6023,c_5918,c_5087,c_4905,c_4899,c_4896,c_4895,c_4841,c_4007,c_3174,c_3128,c_3103,c_3102,c_3005,c_2966,c_2835,c_2808,c_2725,c_2636,c_2304,c_2303,c_2296,c_2286,c_2264,c_2265,c_2222,c_2148,c_2076,c_2075,c_2047,c_2032,c_2031,c_2028,c_794,c_156,c_152,c_49,c_51,c_50,c_53,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO617+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 12:34:13 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 39.54/6.32 % SZS status Started for theBenchmark.p
% 39.54/6.32 % SZS status Theorem for theBenchmark.p
% 39.54/6.32
% 39.54/6.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 39.54/6.32
% 39.54/6.32 % ------ iProver source info
% 39.54/6.32
% 39.54/6.32 % git: date: 2026-07-19 20:42:38 +0200
% 39.54/6.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 39.54/6.32 % git: non_committed_changes: false
% 39.54/6.32
% 39.54/6.32 % ------ Parsing...
% 39.54/6.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 39.54/6.32
% 39.54/6.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 39.54/6.32
% 39.54/6.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 39.54/6.32 % ------ Proving...
% 39.54/6.32 % ------ Problem Properties
% 39.54/6.32
% 39.54/6.32 %
% 39.54/6.32 % clauses 93
% 39.54/6.32 % conjectures 6
% 39.54/6.32 % EPR 60
% 39.54/6.32 % Horn 88
% 39.54/6.32 % unary 6
% 39.54/6.32 % binary 24
% 39.54/6.32 % lits 262
% 39.54/6.32 % lits eq 0
% 39.54/6.32 % fd_pure 0
% 39.54/6.32 % fd_pseudo 0
% 39.54/6.32 % fd_cond 0
% 39.54/6.32 % fd_pseudo_cond 0
% 39.54/6.32 % AC symbols 0
% 39.54/6.32
% 39.54/6.32 % ------ Schedule dynamic 5 is on
% 39.54/6.32
% 39.54/6.32 % ------ no equalities: superposition off
% 39.54/6.32
% 39.54/6.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 39.54/6.32
% 39.54/6.32
% 39.54/6.32 % ------
% 39.54/6.32 % Current options:
% 39.54/6.32 % ------
% 39.54/6.32
% 39.54/6.32
% 39.54/6.32 %
% 39.54/6.32
% 39.54/6.32 % ------ Proving...
% 39.54/6.32 %
% 39.54/6.32
% 39.54/6.32 % SZS status Theorem for theBenchmark.p
% 39.54/6.32
% 39.54/6.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.54/6.33
% 39.54/6.33
%------------------------------------------------------------------------------