%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO563+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 01:21:29 PM UTC 2026
% Result : Theorem 57.95s 14.95s
% Output : CNFRefutation 57.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 42
% Syntax : Number of formulae : 518 ( 59 unt; 0 def)
% Number of atoms : 1297 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1452 ( 673 ~; 673 |; 63 &)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 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 : 13 ( 13 usr; 11 con; 0-5 aty)
% Number of variables : 1252 ( 0 sgn1225 !; 27 ?; 450 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f52,axiom,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
& coll(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> midp(X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f92,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( midp(X4,X1,X3)
& perp(X2,X0,X2,X3)
& perp(X0,X1,X0,X2) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX16) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X8,X5,X7)
& coll(X8,X1,X4)
& circle(X6,X0,X7,X10)
& circle(X6,X5,X2,X0)
& coll(X5,X0,X4)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> eqangle(X1,X8,X8,X7,X1,X2,X2,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214024) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X8,X5,X7)
& coll(X8,X1,X4)
& circle(X6,X0,X7,X10)
& circle(X6,X5,X2,X0)
& coll(X5,X0,X4)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> eqangle(X1,X8,X8,X7,X1,X2,X2,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( coll(X8,X5,X7)
& coll(X8,X1,X4)
& circle(X6,X0,X7,X10)
& circle(X6,X5,X2,X0)
& coll(X5,X0,X4)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2)
& ~ eqangle(X1,X8,X8,X7,X1,X2,X2,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( coll(X8,X5,X7)
& coll(X8,X1,X4)
& circle(X6,X0,X7,X10)
& circle(X6,X5,X2,X0)
& coll(X5,X0,X4)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2)
& ~ eqangle(X1,X8,X8,X7,X1,X2,X2,X7) ),
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] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| midp(X4,X1,X2) ),
inference(ennf_transformation,[],[f52]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| midp(X4,X1,X2) ),
inference(flattening,[],[f139]) ).
fof(f145,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(f146,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,[],[f145]) ).
fof(f149,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(f150,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,[],[f149]) ).
fof(f158,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(f159,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(f160,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(f161,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,[],[f160]) ).
fof(f162,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(f163,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(f164,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(f165,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(f170,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(f171,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,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f173,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f176,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(f177,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f176]) ).
fof(f178,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(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f178]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f184,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ midp(X4,X1,X3)
| ~ perp(X2,X0,X2,X3)
| ~ perp(X0,X1,X0,X2)
| midp(X5,X0,X2) ),
inference(ennf_transformation,[],[f92]) ).
fof(f185,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ midp(X4,X1,X3)
| ~ perp(X2,X0,X2,X3)
| ~ perp(X0,X1,X0,X2)
| midp(X5,X0,X2) ),
inference(flattening,[],[f184]) ).
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(f190,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f190]) ).
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(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(f198,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f206]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(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(f212,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f213]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
( coll(sK8,sK5,sK7)
& coll(sK8,sK1,sK4)
& circle(sK6,sK0,sK7,sK10)
& circle(sK6,sK5,sK2,sK0)
& coll(sK5,sK0,sK4)
& circle(sK3,sK0,sK4,sK9)
& circle(sK3,sK0,sK1,sK2)
& ~ eqangle(sK1,sK8,sK8,sK7,sK1,sK2,sK2,sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10)],[f99]) ).
fof(f234,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))],[f136]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X3)
| ~ perp(X2,X0,X2,X3)
| ~ perp(X0,X1,X0,X2)
| midp(sK27(X0,X1,X2,X3,X4),X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X5,sK27(X0,X1,X2,X3,X4))],[f185]) ).
fof(f239,plain,
coll(sK8,sK5,sK7),
inference(cnf_transformation,[],[f220]) ).
fof(f240,plain,
coll(sK8,sK1,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
circle(sK6,sK0,sK7,sK10),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
circle(sK6,sK5,sK2,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
coll(sK5,sK0,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
~ eqangle(sK1,sK8,sK8,sK7,sK1,sK2,sK2,sK7),
inference(cnf_transformation,[],[f220]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f272,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(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK24(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f234]) ).
fof(f279,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| midp(X4,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f283,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,[],[f146]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f158]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f159]) ).
fof(f292,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,[],[f161]) ).
fof(f293,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,[],[f162]) ).
fof(f294,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,[],[f163]) ).
fof(f295,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,[],[f164]) ).
fof(f296,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,[],[f165]) ).
fof(f303,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,[],[f171]) ).
fof(f304,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f305,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f306,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,[],[f177]) ).
fof(f307,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,[],[f179]) ).
fof(f309,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f310,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X1,X3)
| ~ perp(X2,X0,X2,X3)
| ~ perp(X0,X1,X0,X2)
| midp(sK27(X0,X1,X2,X3,X4),X0,X2) ),
inference(cnf_transformation,[],[f237]) ).
fof(f312,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(f313,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] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f315,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f316,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f318,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(f319,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f326,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(f327,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(f328,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]) ).
fof(f329,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f330,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f214]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_49,negated_conjecture,
~ eqangle(sK1,sK8,sK8,sK7,sK1,sK2,sK2,sK7),
inference(cnf_transformation,[],[f246]) ).
tcf(c_50,negated_conjecture,
circle(sK3,sK0,sK1,sK2),
inference(cnf_transformation,[],[f245]) ).
tcf(c_52,negated_conjecture,
coll(sK5,sK0,sK4),
inference(cnf_transformation,[],[f243]) ).
tcf(c_53,negated_conjecture,
circle(sK6,sK5,sK2,sK0),
inference(cnf_transformation,[],[f242]) ).
tcf(c_54,negated_conjecture,
circle(sK6,sK0,sK7,sK10),
inference(cnf_transformation,[],[f241]) ).
tcf(c_55,negated_conjecture,
coll(sK8,sK1,sK4),
inference(cnf_transformation,[],[f240]) ).
tcf(c_56,negated_conjecture,
coll(sK8,sK5,sK7),
inference(cnf_transformation,[],[f239]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_82,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,[],[f272]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_88,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,[],[f278]) ).
tcf(c_89,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,[],[f279]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X2)
| ~ coll(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_93,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,[],[f283]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_100,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,[],[f290]) ).
tcf(c_101,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,[],[f291]) ).
tcf(c_102,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,[],[f292]) ).
tcf(c_103,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,[],[f293]) ).
tcf(c_104,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,[],[f294]) ).
tcf(c_105,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,[],[f295]) ).
tcf(c_106,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,[],[f296]) ).
tcf(c_113,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,[],[f303]) ).
tcf(c_114,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,[],[f304]) ).
tcf(c_115,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,[],[f305]) ).
tcf(c_116,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,[],[f306]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(sK27(X0,X1,X2,X3,X4),X0,X2)
| ~ midp(X4,X1,X3)
| ~ perp(X2,X0,X2,X3)
| ~ perp(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_122,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,[],[f312]) ).
tcf(c_123,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,[],[f313]) ).
tcf(c_124,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,[],[f314]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_128,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,[],[f318]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_136,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,[],[f326]) ).
tcf(c_137,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,[],[f327]) ).
tcf(c_138,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,[],[f328]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_148,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_154,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_156,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_190,plain,
( midp(sK27(sK0,sK0,sK0,sK0,sK0),sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_196,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_136]) ).
tcf(c_800,plain,
perp(sK24(sK0,sK1,sK2,sK3),sK0,sK0,sK3),
inference(resolution,[status(thm)],[c_50,c_88]) ).
tcf(c_938,plain,
perp(sK24(sK0,sK7,sK10,sK6),sK0,sK0,sK6),
inference(resolution,[status(thm)],[c_54,c_88]) ).
tcf(c_2373,plain,
( coll(sK0,sK5,sK4)
| ~ coll(sK5,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2374,plain,
( coll(sK1,sK8,sK4)
| ~ coll(sK8,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2376,plain,
( coll(sK5,sK4,sK0)
| ~ coll(sK5,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2383,plain,
! [X0: $i] :
( coll(sK7,X0,sK8)
| ~ coll(sK8,sK5,sK7)
| ~ coll(sK8,sK5,X0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2384,plain,
( coll(sK7,sK0,sK8)
| ~ coll(sK8,sK5,sK0)
| ~ coll(sK8,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_2383]) ).
tcf(c_2480,plain,
! [X0: $i] :
( coll(sK4,X0,sK0)
| ~ coll(sK0,sK5,sK4)
| ~ coll(sK0,sK5,X0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2483,plain,
( coll(sK4,sK0,sK0)
| ~ coll(sK0,sK5,sK4)
| ~ coll(sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_2480]) ).
tcf(c_2508,plain,
( coll(sK1,sK4,sK8)
| ~ coll(sK1,sK8,sK4) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2561,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK4,sK0)
| ~ coll(sK5,sK4,X0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2564,plain,
( coll(sK0,sK0,sK5)
| ~ coll(sK5,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_2561]) ).
tcf(c_2634,plain,
( perp(sK0,sK3,sK24(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK24(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_2690,plain,
( perp(sK0,sK6,sK24(sK0,sK7,sK10,sK6),sK0)
| ~ perp(sK24(sK0,sK7,sK10,sK6),sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_3085,plain,
coll(sK0,sK5,sK4),
inference(superposition,[status(thm)],[c_52,c_84]) ).
tcf(c_3086,plain,
coll(sK1,sK8,sK4),
inference(superposition,[status(thm)],[c_55,c_84]) ).
tcf(c_3126,plain,
coll(sK5,sK4,sK0),
inference(superposition,[status(thm)],[c_52,c_85]) ).
tcf(c_3127,plain,
coll(sK8,sK4,sK1),
inference(superposition,[status(thm)],[c_55,c_85]) ).
tcf(c_3128,plain,
coll(sK8,sK7,sK5),
inference(superposition,[status(thm)],[c_56,c_85]) ).
tcf(c_3162,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK3,X0,X1)
| ~ perp(sK0,sK3,sK24(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK24(sK0,sK1,sK2,sK3),sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_3400,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK6,X0,X1)
| ~ perp(sK0,sK6,sK24(sK0,sK7,sK10,sK6),sK0)
| ~ perp(sK24(sK0,sK7,sK10,sK6),sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_3474,plain,
! [X0: $i] :
( coll(sK0,sK5,X0)
| ~ coll(sK0,X0,sK5) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_3476,plain,
( coll(sK0,sK5,sK0)
| ~ coll(sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_3474]) ).
tcf(c_3493,plain,
( coll(sK0,sK1,sK5)
| ~ coll(sK5,sK4,sK0)
| ~ coll(sK5,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_2561]) ).
tcf(c_3562,plain,
! [X0: $i] :
( coll(sK4,X0,sK5)
| ~ coll(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_52,c_83]) ).
tcf(c_3563,plain,
! [X0: $i] :
( coll(sK4,X0,sK8)
| ~ coll(sK8,sK1,X0) ),
inference(superposition,[status(thm)],[c_55,c_83]) ).
tcf(c_3564,plain,
! [X0: $i] :
( coll(sK7,X0,sK8)
| ~ coll(sK8,sK5,X0) ),
inference(superposition,[status(thm)],[c_56,c_83]) ).
tcf(c_3565,plain,
! [X0: $i] :
( coll(sK4,X0,sK0)
| ~ coll(sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_3085,c_83]) ).
tcf(c_3566,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK8,X0) ),
inference(superposition,[status(thm)],[c_3086,c_83]) ).
tcf(c_3568,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK4,X0) ),
inference(superposition,[status(thm)],[c_3126,c_83]) ).
tcf(c_3569,plain,
! [X0: $i] :
( coll(sK1,X0,sK8)
| ~ coll(sK8,sK4,X0) ),
inference(superposition,[status(thm)],[c_3127,c_83]) ).
tcf(c_3570,plain,
! [X0: $i] :
( coll(sK5,X0,sK8)
| ~ coll(sK8,sK7,X0) ),
inference(superposition,[status(thm)],[c_3128,c_83]) ).
tcf(c_3733,plain,
( coll(sK0,sK8,sK5)
| ~ coll(sK5,sK4,sK0)
| ~ coll(sK5,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_2561]) ).
tcf(c_3881,plain,
coll(sK4,sK4,sK5),
inference(superposition,[status(thm)],[c_52,c_3562]) ).
tcf(c_3887,plain,
! [X0: $i] :
( coll(sK5,X0,sK4)
| ~ coll(sK4,sK4,X0) ),
inference(superposition,[status(thm)],[c_3881,c_83]) ).
tcf(c_3966,plain,
coll(sK4,sK4,sK8),
inference(superposition,[status(thm)],[c_55,c_3563]) ).
tcf(c_3972,plain,
! [X0: $i] :
( coll(sK8,X0,sK4)
| ~ coll(sK4,sK4,X0) ),
inference(superposition,[status(thm)],[c_3966,c_83]) ).
tcf(c_4138,plain,
coll(sK4,sK4,sK0),
inference(superposition,[status(thm)],[c_3085,c_3565]) ).
tcf(c_4159,plain,
coll(sK4,sK4,sK1),
inference(superposition,[status(thm)],[c_3086,c_3566]) ).
tcf(c_4473,plain,
coll(sK0,sK0,sK5),
inference(superposition,[status(thm)],[c_3126,c_3568]) ).
tcf(c_4514,plain,
coll(sK0,sK5,sK0),
inference(superposition,[status(thm)],[c_4473,c_85]) ).
tcf(c_4528,plain,
coll(sK1,sK1,sK8),
inference(superposition,[status(thm)],[c_3127,c_3569]) ).
tcf(c_4537,plain,
coll(sK1,sK8,sK1),
inference(superposition,[status(thm)],[c_4528,c_85]) ).
tcf(c_4628,plain,
coll(sK5,sK5,sK8),
inference(superposition,[status(thm)],[c_3128,c_3570]) ).
tcf(c_4636,plain,
! [X0: $i] :
( coll(sK8,X0,sK5)
| ~ coll(sK5,sK5,X0) ),
inference(superposition,[status(thm)],[c_4628,c_83]) ).
tcf(c_4641,plain,
( coll(sK8,sK0,sK5)
| ~ coll(sK5,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_4636]) ).
tcf(c_4663,plain,
( coll(sK4,sK1,sK0)
| ~ coll(sK0,sK5,sK4)
| ~ coll(sK0,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_2480]) ).
tcf(c_4768,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_89]) ).
tcf(c_4770,plain,
( perp(sK5,sK2,sK2,sK0)
| ~ coll(sK6,sK5,sK0) ),
inference(superposition,[status(thm)],[c_53,c_89]) ).
tcf(c_4771,plain,
( perp(sK0,sK7,sK7,sK10)
| ~ coll(sK6,sK0,sK10) ),
inference(superposition,[status(thm)],[c_54,c_89]) ).
tcf(c_4786,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_89]) ).
tcf(c_4788,plain,
( perp(sK5,sK2,sK2,sK0)
| ~ coll(sK6,sK5,sK0) ),
inference(superposition,[status(thm)],[c_53,c_89]) ).
tcf(c_4899,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK8,X1)
| ~ coll(sK8,X0,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_4900,plain,
( coll(sK0,sK8,sK0)
| ~ coll(sK8,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_4899]) ).
tcf(c_4905,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK4,X1)
| ~ coll(sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_4906,plain,
( coll(sK0,sK4,sK0)
| ~ coll(sK4,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_4905]) ).
tcf(c_4920,plain,
! [X0: $i] :
( coll(sK0,X0,sK0)
| ~ coll(sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_4514,c_83]) ).
tcf(c_4926,plain,
( coll(sK0,sK0,sK0)
| ~ coll(sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_4920]) ).
tcf(c_4935,plain,
! [X0: $i] :
( coll(sK8,sK5,X0)
| ~ coll(sK8,X0,sK5) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_4936,plain,
( coll(sK8,sK5,sK0)
| ~ coll(sK8,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_4935]) ).
tcf(c_4943,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK8,X1)
| ~ coll(X0,X1,sK8) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_4970,plain,
( perp(sK1,sK2,sK0,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_4768,c_125]) ).
tcf(c_4980,plain,
( perp(sK1,sK2,sK0,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_4786,c_125]) ).
tcf(c_5089,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK8,X2,X0)
| ~ coll(X0,X1,sK8)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_5091,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK1,X0)
| ~ coll(X0,X1,sK1)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_5095,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK8,X0)
| ~ coll(X0,X1,sK8)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_5104,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK7,X0)
| ~ coll(X0,X1,sK7)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_5112,plain,
! [X0: $i,X1: $i] :
( coll(sK5,sK5,X0)
| ~ coll(X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_5113,plain,
( coll(sK5,sK5,sK0)
| ~ coll(sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_5112]) ).
tcf(c_5131,plain,
( perp(sK2,sK0,sK5,sK2)
| ~ coll(sK6,sK5,sK0) ),
inference(superposition,[status(thm)],[c_4770,c_125]) ).
tcf(c_5140,plain,
( perp(sK5,sK2,sK0,sK2)
| ~ coll(sK6,sK5,sK0) ),
inference(superposition,[status(thm)],[c_4788,c_126]) ).
tcf(c_5141,plain,
( perp(sK2,sK0,sK5,sK2)
| ~ coll(sK6,sK5,sK0) ),
inference(superposition,[status(thm)],[c_4788,c_125]) ).
tcf(c_5194,plain,
( perp(sK0,sK7,sK10,sK7)
| ~ coll(sK6,sK0,sK10) ),
inference(superposition,[status(thm)],[c_4771,c_126]) ).
tcf(c_5277,plain,
coll(sK5,sK8,sK4),
inference(superposition,[status(thm)],[c_3966,c_3887]) ).
tcf(c_5279,plain,
coll(sK5,sK1,sK4),
inference(superposition,[status(thm)],[c_4159,c_3887]) ).
tcf(c_5404,plain,
coll(sK5,sK4,sK8),
inference(superposition,[status(thm)],[c_5277,c_85]) ).
tcf(c_5405,plain,
coll(sK8,sK5,sK4),
inference(superposition,[status(thm)],[c_5277,c_84]) ).
tcf(c_5477,plain,
coll(sK8,sK0,sK4),
inference(superposition,[status(thm)],[c_4138,c_3972]) ).
tcf(c_5597,plain,
! [X0: $i] :
( midp(X0,sK1,sK2)
| ~ coll(X0,sK1,sK2)
| ~ circle(sK3,sK0,sK1,sK2)
| ~ eqangle(sK0,sK1,sK0,sK2,sK3,sK1,sK3,X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_5608,plain,
( cong(sK0,sK1,sK0,sK2)
| ~ midp(sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_4768,c_123]) ).
tcf(c_5802,plain,
! [X0: $i] :
( cong(sK0,X0,sK1,X0)
| ~ coll(sK3,sK0,sK2)
| ~ midp(X0,sK0,sK2) ),
inference(superposition,[status(thm)],[c_4768,c_124]) ).
tcf(c_5805,plain,
! [X0: $i] :
( cong(sK0,X0,sK7,X0)
| ~ coll(sK6,sK0,sK10)
| ~ midp(X0,sK0,sK10) ),
inference(superposition,[status(thm)],[c_4771,c_124]) ).
tcf(c_5821,plain,
( cong(sK0,sK0,sK7,sK0)
| ~ midp(sK0,sK0,sK10)
| ~ coll(sK6,sK0,sK10) ),
inference(instantiation,[status(thm)],[c_5805]) ).
tcf(c_5824,plain,
( cong(sK0,sK0,sK1,sK0)
| ~ midp(sK0,sK0,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_5802]) ).
tcf(c_6064,plain,
! [X0: $i] :
( coll(sK1,X0,sK1)
| ~ coll(sK1,sK8,X0) ),
inference(superposition,[status(thm)],[c_4537,c_83]) ).
tcf(c_6070,plain,
( coll(sK1,sK0,sK1)
| ~ coll(sK1,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_6064]) ).
tcf(c_6576,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ coll(sK3,sK0,sK2)
| ~ perp(sK1,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_4768,c_117]) ).
tcf(c_6585,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK0,X0,X1)
| ~ coll(sK6,sK5,sK0)
| ~ perp(sK5,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_5131,c_117]) ).
tcf(c_6642,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK2,X0,X1)
| ~ coll(sK3,sK0,sK2)
| ~ perp(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_4980,c_117]) ).
tcf(c_6646,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK0,X0,X1)
| ~ coll(sK6,sK5,sK0)
| ~ perp(sK5,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_5141,c_117]) ).
tcf(c_7208,plain,
coll(sK5,sK4,sK1),
inference(superposition,[status(thm)],[c_5279,c_85]) ).
tcf(c_7217,plain,
( para(sK0,sK3,sK0,sK3)
| ~ perp(sK0,sK3,sK24(sK0,sK1,sK2,sK3),sK0)
| ~ perp(sK24(sK0,sK1,sK2,sK3),sK0,sK0,sK3) ),
inference(instantiation,[status(thm)],[c_3162]) ).
tcf(c_7227,plain,
( para(sK0,sK6,sK0,sK6)
| ~ perp(sK0,sK6,sK24(sK0,sK7,sK10,sK6),sK0)
| ~ perp(sK24(sK0,sK7,sK10,sK6),sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_3400]) ).
tcf(c_8075,plain,
! [X0: $i,X1: $i] :
( perp(sK0,sK1,X1,X0)
| ~ coll(sK3,sK0,sK2)
| ~ midp(X1,sK0,sK2)
| ~ cong(sK0,X0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5802,c_122]) ).
tcf(c_8095,plain,
( perp(sK0,sK1,sK0,sK0)
| ~ midp(sK0,sK0,sK2)
| ~ coll(sK3,sK0,sK2)
| ~ cong(sK0,sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_8075]) ).
tcf(c_8135,plain,
( coll(sK3,sK0,sK2)
| ~ coll(sK3,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_8140,plain,
! [X0: $i] :
( coll(sK6,sK5,sK0)
| ~ coll(sK0,X0,sK6)
| ~ coll(sK0,X0,sK5) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_8141,plain,
( coll(sK6,sK5,sK0)
| ~ coll(sK0,sK0,sK6)
| ~ coll(sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_8140]) ).
tcf(c_8147,plain,
( coll(sK6,sK0,sK10)
| ~ coll(sK6,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_8241,plain,
( coll(sK0,sK5,sK1)
| ~ coll(sK0,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_3474]) ).
tcf(c_8633,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK6,X0,X1,sK0,sK6,X0,X1)
| ~ para(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_8634,plain,
( eqangle(sK0,sK6,sK0,sK0,sK0,sK6,sK0,sK0)
| ~ para(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_8633]) ).
tcf(c_8831,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK1,X2,X0)
| ~ coll(X0,X1,sK1)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_8835,plain,
! [X0: $i,X1: $i] :
( coll(sK1,X1,X0)
| ~ coll(sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_8899,plain,
coll(sK7,sK4,sK8),
inference(superposition,[status(thm)],[c_5405,c_3564]) ).
tcf(c_8988,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK1)
| ~ coll(X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_8989,plain,
( coll(sK0,sK0,sK1)
| ~ coll(sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_8988]) ).
tcf(c_9109,plain,
coll(sK8,sK4,sK0),
inference(superposition,[status(thm)],[c_5477,c_85]) ).
tcf(c_9220,plain,
coll(sK7,sK8,sK4),
inference(superposition,[status(thm)],[c_8899,c_85]) ).
tcf(c_9273,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK8)
| ~ coll(sK8,X0,X2)
| ~ coll(sK8,X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_9274,plain,
( coll(sK0,sK0,sK8)
| ~ coll(sK8,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_9273]) ).
tcf(c_9286,plain,
! [X0: $i] :
( coll(sK8,X0,sK0)
| ~ coll(sK0,sK5,sK8)
| ~ coll(sK0,sK5,X0) ),
inference(instantiation,[status(thm)],[c_5089]) ).
tcf(c_9287,plain,
( coll(sK0,sK5,sK8)
| ~ coll(sK0,sK8,sK5) ),
inference(instantiation,[status(thm)],[c_3474]) ).
tcf(c_9288,plain,
( coll(sK8,sK0,sK0)
| ~ coll(sK0,sK5,sK0)
| ~ coll(sK0,sK5,sK8) ),
inference(instantiation,[status(thm)],[c_9286]) ).
tcf(c_9373,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK3,X2,X0)
| ~ coll(X0,X1,sK3)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_9385,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK6,X2,X0)
| ~ coll(X0,X1,sK6)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_9579,plain,
( para(sK0,sK1,sK0,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_4970,c_6576]) ).
tcf(c_9676,plain,
! [X0: $i] :
( coll(sK1,sK4,X0)
| ~ coll(sK4,sK1,X0) ),
inference(instantiation,[status(thm)],[c_4905]) ).
tcf(c_9678,plain,
( coll(sK1,sK4,sK0)
| ~ coll(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_9676]) ).
tcf(c_9899,plain,
! [X0: $i] :
( coll(sK7,sK8,X0)
| ~ coll(sK7,X0,sK8) ),
inference(instantiation,[status(thm)],[c_4943]) ).
tcf(c_9900,plain,
( coll(sK7,sK8,sK0)
| ~ coll(sK7,sK0,sK8) ),
inference(instantiation,[status(thm)],[c_9899]) ).
tcf(c_10192,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK7)
| ~ coll(X0,sK7,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_10193,plain,
( coll(sK0,sK0,sK7)
| ~ coll(sK0,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_10192]) ).
tcf(c_10204,plain,
! [X0: $i] :
( coll(X0,sK4,sK7)
| ~ coll(sK4,X0,sK7) ),
inference(instantiation,[status(thm)],[c_4905]) ).
tcf(c_10206,plain,
( coll(sK0,sK4,sK7)
| ~ coll(sK4,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_10204]) ).
tcf(c_10477,plain,
! [X0: $i] :
( coll(X0,sK8,sK1)
| ~ coll(sK1,sK4,sK8)
| ~ coll(sK1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_5095]) ).
tcf(c_10478,plain,
( coll(sK0,sK8,sK1)
| ~ coll(sK1,sK4,sK0)
| ~ coll(sK1,sK4,sK8) ),
inference(instantiation,[status(thm)],[c_10477]) ).
tcf(c_10687,plain,
! [X0: $i] :
( coll(sK4,X0,sK7)
| ~ coll(sK7,sK8,X0) ),
inference(superposition,[status(thm)],[c_9220,c_83]) ).
tcf(c_10692,plain,
( coll(sK4,sK0,sK7)
| ~ coll(sK7,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_10687]) ).
tcf(c_11030,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK7,X0)
| ~ coll(X0,sK4,sK7)
| ~ coll(X0,sK4,X1) ),
inference(instantiation,[status(thm)],[c_5104]) ).
tcf(c_11032,plain,
( coll(sK0,sK7,sK0)
| ~ coll(sK0,sK4,sK0)
| ~ coll(sK0,sK4,sK7) ),
inference(instantiation,[status(thm)],[c_11030]) ).
tcf(c_14060,plain,
coll(sK1,sK0,sK8),
inference(superposition,[status(thm)],[c_9109,c_3569]) ).
tcf(c_14624,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK0,sK2)
| ~ coll(sK2,X0,sK0)
| ~ coll(sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_14625,plain,
( coll(sK0,sK0,sK2)
| ~ coll(sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_14624]) ).
tcf(c_14666,plain,
! [X0: $i,X1: $i] :
( coll(sK0,X1,sK6)
| ~ coll(sK6,X0,sK0)
| ~ coll(sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_14667,plain,
( coll(sK0,sK0,sK6)
| ~ coll(sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_14666]) ).
tcf(c_14866,plain,
coll(sK1,sK8,sK0),
inference(superposition,[status(thm)],[c_14060,c_85]) ).
tcf(c_15818,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK1,X0)
| ~ coll(X0,sK8,sK1)
| ~ coll(X0,sK8,X1) ),
inference(instantiation,[status(thm)],[c_5091]) ).
tcf(c_15823,plain,
( coll(sK0,sK1,sK0)
| ~ coll(sK0,sK8,sK0)
| ~ coll(sK0,sK8,sK1) ),
inference(instantiation,[status(thm)],[c_15818]) ).
tcf(c_16330,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK7,sK10,sK0,sK10,sK7)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_54,c_93]) ).
tcf(c_16353,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK7,sK10,sK0,sK10,sK7)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_54,c_93]) ).
tcf(c_17968,plain,
! [X0: $i] :
( eqangle(sK10,sK0,sK10,sK7,sK0,X0,sK0,sK7)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_16330,c_104]) ).
tcf(c_17969,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK10,sK0,sK0,sK7,sK10,sK7)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_16330,c_103]) ).
tcf(c_18010,plain,
! [X0: $i] :
( eqangle(sK10,sK0,sK10,sK7,sK0,X0,sK0,sK7)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_16353,c_104]) ).
tcf(c_19077,plain,
( coll(sK1,sK1,sK2)
| ~ coll(sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_8835]) ).
tcf(c_19078,plain,
( midp(sK1,sK1,sK2)
| ~ coll(sK1,sK1,sK2)
| ~ circle(sK3,sK0,sK1,sK2)
| ~ eqangle(sK0,sK1,sK0,sK2,sK3,sK1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_5597]) ).
tcf(c_19227,plain,
! [X0: $i] :
( coll(sK1,sK2,sK0)
| ~ coll(sK0,X0,sK2)
| ~ coll(sK0,X0,sK1) ),
inference(instantiation,[status(thm)],[c_8831]) ).
tcf(c_19229,plain,
( coll(sK1,sK2,sK0)
| ~ coll(sK0,sK0,sK2)
| ~ coll(sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_19227]) ).
tcf(c_19664,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK3)
| ~ coll(sK3,X0,X2)
| ~ coll(sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_19665,plain,
( coll(sK0,sK0,sK3)
| ~ coll(sK3,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_19664]) ).
tcf(c_20285,plain,
! [X0: $i] :
( cyclic(sK6,X0,sK0,sK0)
| ~ coll(sK0,sK0,X0)
| ~ eqangle(sK0,sK6,sK0,X0,sK0,sK6,sK0,X0) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_20288,plain,
( cyclic(sK6,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ eqangle(sK0,sK6,sK0,sK0,sK0,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_20285]) ).
tcf(c_21322,plain,
! [X0: $i] :
( coll(sK1,sK2,sK1)
| ~ coll(sK1,X0,sK2)
| ~ coll(sK1,X0,sK1) ),
inference(instantiation,[status(thm)],[c_8831]) ).
tcf(c_21323,plain,
( coll(sK1,sK2,sK1)
| ~ coll(sK1,sK0,sK2)
| ~ coll(sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_21322]) ).
tcf(c_21501,plain,
! [X0: $i] :
( coll(sK1,X0,sK2)
| ~ coll(sK1,sK2,X0) ),
inference(instantiation,[status(thm)],[c_8835]) ).
tcf(c_21502,plain,
( coll(sK1,sK0,sK2)
| ~ coll(sK1,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_21501]) ).
tcf(c_23343,plain,
( cyclic(sK0,sK7,sK10,sK0)
| ~ coll(sK10,sK0,sK7)
| ~ perp(sK6,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_17968,c_137]) ).
tcf(c_23344,plain,
( coll(sK10,sK0,sK0)
| cyclic(sK0,sK7,sK10,sK0)
| ~ perp(sK6,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_17968,c_138]) ).
tcf(c_23381,plain,
( coll(sK10,sK0,sK0)
| cyclic(sK0,sK7,sK10,sK0)
| ~ perp(sK6,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_18010,c_138]) ).
tcf(c_23714,plain,
! [X0: $i] :
( perp(sK0,X0,sK10,sK0)
| ~ perp(sK0,sK7,sK10,sK7)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_17969,c_95]) ).
tcf(c_23727,plain,
( perp(sK0,sK0,sK10,sK0)
| ~ perp(sK6,sK0,sK0,sK0)
| ~ perp(sK0,sK7,sK10,sK7) ),
inference(instantiation,[status(thm)],[c_23714]) ).
tcf(c_24183,plain,
! [X0: $i] :
( coll(sK10,sK7,sK0)
| ~ coll(sK0,X0,sK10)
| ~ coll(sK0,X0,sK7) ),
inference(instantiation,[status(thm)],[c_5104]) ).
tcf(c_24184,plain,
( coll(sK10,sK7,sK0)
| ~ coll(sK0,sK0,sK10)
| ~ coll(sK0,sK0,sK7) ),
inference(instantiation,[status(thm)],[c_24183]) ).
tcf(c_25372,plain,
! [X0: $i] :
( coll(sK3,sK2,sK0)
| ~ coll(sK0,X0,sK3)
| ~ coll(sK0,X0,sK2) ),
inference(instantiation,[status(thm)],[c_9373]) ).
tcf(c_25376,plain,
( coll(sK3,sK2,sK0)
| ~ coll(sK0,sK0,sK3)
| ~ coll(sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_25372]) ).
tcf(c_25416,plain,
! [X0: $i] :
( coll(sK6,sK10,sK0)
| ~ coll(sK0,X0,sK10)
| ~ coll(sK0,X0,sK6) ),
inference(instantiation,[status(thm)],[c_9385]) ).
tcf(c_25417,plain,
( coll(sK6,sK10,sK0)
| ~ coll(sK0,sK0,sK10)
| ~ coll(sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_25416]) ).
tcf(c_25844,plain,
! [X0: $i,X1: $i] :
( coll(sK0,X1,sK10)
| ~ coll(sK10,X0,sK0)
| ~ coll(sK10,X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_25845,plain,
( coll(sK0,sK0,sK10)
| ~ coll(sK10,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_25844]) ).
tcf(c_27809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X0,X1,X2,X3,sK10,sK0,sK10,sK7)
| ~ perp(sK6,sK0,sK0,X4)
| ~ eqangle(X0,X1,X2,X3,sK0,X4,sK0,sK7) ),
inference(superposition,[status(thm)],[c_16353,c_102]) ).
tcf(c_29165,plain,
! [X0: $i] :
( perp(sK6,sK0,sK0,X0)
| ~ perp(sK0,X0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_29166,plain,
( perp(sK6,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_29165]) ).
tcf(c_29837,plain,
! [X0: $i] :
( coll(sK2,X0,sK0)
| ~ para(sK2,X0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_29838,plain,
( coll(sK2,sK0,sK0)
| ~ para(sK2,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_29837]) ).
tcf(c_29849,plain,
! [X0: $i] :
( coll(sK10,X0,sK0)
| ~ para(sK10,X0,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_29850,plain,
( coll(sK10,sK0,sK0)
| ~ para(sK10,sK0,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_29849]) ).
tcf(c_30713,plain,
( eqangle(sK1,sK8,sK8,sK7,sK1,sK2,sK2,sK7)
| ~ eqangle(sK8,sK1,sK8,sK7,sK1,sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_30737,plain,
( eqangle(sK8,sK1,sK8,sK7,sK1,sK2,sK2,sK7)
| ~ eqangle(sK1,sK2,sK2,sK7,sK8,sK1,sK8,sK7) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_30841,plain,
( eqangle(sK1,sK2,sK2,sK7,sK8,sK1,sK8,sK7)
| ~ eqangle(sK2,sK1,sK2,sK7,sK8,sK1,sK8,sK7) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_31144,plain,
( eqangle(sK2,sK1,sK2,sK7,sK8,sK1,sK8,sK7)
| ~ cyclic(sK1,sK7,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_31539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( midp(sK27(X0,X1,X2,X3,X4),X5,X6)
| ~ para(X0,X6,X2,X5)
| ~ para(X0,X5,X2,X6)
| ~ midp(sK27(X0,X1,X2,X3,X4),X0,X2) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_33789,plain,
! [X0: $i] :
( coll(sK10,X0,sK7)
| ~ coll(sK10,sK7,X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_33790,plain,
( coll(sK10,sK0,sK7)
| ~ coll(sK10,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_33789]) ).
tcf(c_35985,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK27(sK0,X0,sK0,X1,X2),sK3,sK3)
| ~ para(sK0,sK3,sK0,sK3)
| ~ midp(sK27(sK0,X0,sK0,X1,X2),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_31539]) ).
tcf(c_35986,plain,
( midp(sK27(sK0,sK0,sK0,sK0,sK0),sK3,sK3)
| ~ para(sK0,sK3,sK0,sK3)
| ~ midp(sK27(sK0,sK0,sK0,sK0,sK0),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_35985]) ).
tcf(c_36074,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK27(sK0,X0,sK0,X1,X2),sK6,sK6)
| ~ para(sK0,sK6,sK0,sK6)
| ~ midp(sK27(sK0,X0,sK0,X1,X2),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_31539]) ).
tcf(c_36075,plain,
( midp(sK27(sK0,sK0,sK0,sK0,sK0),sK6,sK6)
| ~ para(sK0,sK6,sK0,sK6)
| ~ midp(sK27(sK0,sK0,sK0,sK0,sK0),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_36074]) ).
tcf(c_36093,plain,
! [X0: $i,X1: $i] :
( coll(sK3,X0,X1)
| ~ para(sK3,X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_36096,plain,
( coll(sK3,sK0,sK0)
| ~ para(sK3,sK0,sK3,sK0) ),
inference(instantiation,[status(thm)],[c_36093]) ).
tcf(c_37375,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK0,sK2)
| ~ perp(sK0,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_37376,plain,
( perp(sK0,sK0,sK0,sK2)
| ~ perp(sK0,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_37375]) ).
tcf(c_38763,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK1,X0,sK2)
| ~ perp(X1,X2,X0,sK2)
| ~ perp(X0,sK1,X1,X2) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_38764,plain,
( para(sK0,sK1,sK0,sK2)
| ~ perp(sK0,sK0,sK0,sK2)
| ~ perp(sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_38763]) ).
tcf(c_43237,plain,
! [X0: $i] :
( coll(sK6,X0,sK0)
| ~ para(sK6,X0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_43240,plain,
( coll(sK6,sK0,sK0)
| ~ para(sK6,sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_43237]) ).
tcf(c_44733,plain,
! [X0: $i,X1: $i] :
( eqangle(X1,X0,X1,sK7,sK10,sK0,sK10,sK7)
| ~ perp(sK6,sK0,sK0,X0)
| ~ cyclic(X0,sK7,X1,sK0) ),
inference(superposition,[status(thm)],[c_139,c_27809]) ).
tcf(c_48495,plain,
coll(sK0,sK5,sK4),
inference(superposition,[status(thm)],[c_52,c_84]) ).
tcf(c_48502,plain,
coll(sK5,sK4,sK0),
inference(superposition,[status(thm)],[c_52,c_85]) ).
tcf(c_48742,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_127,c_130]) ).
tcf(c_48811,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_48742,c_129]) ).
tcf(c_48862,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_48811,c_130]) ).
tcf(c_48947,plain,
! [X0: $i] :
( coll(sK4,X0,sK8)
| ~ coll(sK8,sK1,X0) ),
inference(superposition,[status(thm)],[c_55,c_83]) ).
tcf(c_48949,plain,
! [X0: $i] :
( coll(sK4,X0,sK0)
| ~ coll(sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_48495,c_83]) ).
tcf(c_48952,plain,
! [X0: $i] :
( coll(sK0,X0,sK5)
| ~ coll(sK5,sK4,X0) ),
inference(superposition,[status(thm)],[c_48502,c_83]) ).
tcf(c_49023,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,X1)
| ~ midp(X1,X0,X0)
| ~ coll(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_48862,c_79]) ).
tcf(c_49097,plain,
coll(sK4,sK4,sK8),
inference(superposition,[status(thm)],[c_55,c_48947]) ).
tcf(c_49108,plain,
! [X0: $i] :
( coll(sK8,X0,sK4)
| ~ coll(sK4,sK4,X0) ),
inference(superposition,[status(thm)],[c_49097,c_83]) ).
tcf(c_49253,plain,
coll(sK4,sK4,sK0),
inference(superposition,[status(thm)],[c_48495,c_48949]) ).
tcf(c_49313,plain,
coll(sK0,sK0,sK5),
inference(superposition,[status(thm)],[c_48502,c_48952]) ).
tcf(c_49342,plain,
( perp(sK0,sK1,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50,c_89]) ).
tcf(c_49466,plain,
! [X0: $i] :
( cong(sK0,X0,sK1,X0)
| ~ coll(sK3,sK0,sK2)
| ~ midp(X0,sK0,sK2) ),
inference(superposition,[status(thm)],[c_49342,c_124]) ).
tcf(c_49469,plain,
( perp(sK1,sK2,sK0,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_49342,c_125]) ).
tcf(c_49535,plain,
coll(sK0,sK5,sK0),
inference(superposition,[status(thm)],[c_49313,c_85]) ).
tcf(c_49647,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ coll(sK3,sK0,sK2)
| ~ perp(sK1,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_49342,c_117]) ).
tcf(c_49805,plain,
coll(sK8,sK0,sK4),
inference(superposition,[status(thm)],[c_49253,c_49108]) ).
tcf(c_50322,plain,
! [X0: $i] :
( cong(sK0,X0,X0,sK1)
| ~ coll(sK3,sK0,sK2)
| ~ midp(X0,sK0,sK2) ),
inference(superposition,[status(thm)],[c_49466,c_130]) ).
tcf(c_51004,plain,
( para(sK0,sK1,sK0,sK1)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_49469,c_49647]) ).
tcf(c_51294,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ coll(sK3,sK0,sK2)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_51004,c_113]) ).
tcf(c_51313,plain,
( midp(sK0,sK1,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK3,sK0,sK2)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_51294]) ).
tcf(c_52170,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK1,sK2,sK0,sK2,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_50,c_93]) ).
tcf(c_52438,plain,
! [X0: $i] :
( eqangle(sK2,sK0,sK2,sK1,sK0,X0,sK0,sK1)
| ~ perp(sK3,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_52170,c_104]) ).
tcf(c_52619,plain,
( coll(sK2,sK0,sK0)
| cyclic(sK0,sK1,sK2,sK0)
| ~ perp(sK3,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_52438,c_138]) ).
tcf(c_55674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(sK3,X3,sK3,X4)
| ~ midp(sK27(sK0,X0,sK0,X1,X2),sK3,sK3)
| ~ midp(sK27(sK0,X0,sK0,X1,X2),X3,X4) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_55678,plain,
( para(sK3,sK0,sK3,sK0)
| ~ midp(sK27(sK0,sK0,sK0,sK0,sK0),sK0,sK0)
| ~ midp(sK27(sK0,sK0,sK0,sK0,sK0),sK3,sK3) ),
inference(instantiation,[status(thm)],[c_55674]) ).
tcf(c_55768,plain,
! [X0: $i] :
( cong(X0,sK1,sK0,X0)
| ~ coll(sK3,sK0,sK2)
| ~ midp(X0,sK0,sK2) ),
inference(superposition,[status(thm)],[c_50322,c_129]) ).
tcf(c_55827,plain,
( cong(sK0,sK1,sK0,sK0)
| ~ midp(sK0,sK0,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_55768]) ).
tcf(c_55852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(sK6,X3,sK6,X4)
| ~ midp(sK27(sK0,X0,sK0,X1,X2),sK6,sK6)
| ~ midp(sK27(sK0,X0,sK0,X1,X2),X3,X4) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_55856,plain,
( para(sK6,sK0,sK6,sK0)
| ~ midp(sK27(sK0,sK0,sK0,sK0,sK0),sK6,sK6)
| ~ midp(sK27(sK0,sK0,sK0,sK0,sK0),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_55852]) ).
tcf(c_59261,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,sK0,X2,X1)
| ~ cyclic(sK6,X0,sK0,X2)
| ~ cyclic(sK6,X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_59268,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ cyclic(sK6,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_59261]) ).
tcf(c_61813,plain,
! [X0: $i] :
( para(sK2,X0,sK2,sK0)
| ~ para(sK2,X0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_61814,plain,
( para(sK2,sK0,sK2,sK0)
| ~ para(sK2,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_61813]) ).
tcf(c_61950,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,X0,sK10)
| ~ para(X0,X1,sK10,X0) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_61951,plain,
( para(sK0,sK0,sK0,sK10)
| ~ para(sK0,sK0,sK10,sK0) ),
inference(instantiation,[status(thm)],[c_61950]) ).
tcf(c_65650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK0,sK2,X2,X3)
| ~ para(sK0,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_65651,plain,
( perp(sK0,sK2,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ para(sK0,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_65650]) ).
tcf(c_68354,plain,
coll(sK4,sK0,sK0),
inference(superposition,[status(thm)],[c_49535,c_48949]) ).
tcf(c_70096,plain,
coll(sK0,sK8,sK4),
inference(superposition,[status(thm)],[c_49805,c_84]) ).
tcf(c_71052,plain,
coll(sK0,sK4,sK0),
inference(superposition,[status(thm)],[c_68354,c_84]) ).
tcf(c_72855,plain,
( ~ perp(sK6,sK0,sK0,sK0)
| cyclic(sK0,sK7,sK10,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_23381,c_56,c_52,c_2373,c_2376,c_2384,c_2483,c_2564,c_3476,c_4641,c_4906,c_4936,c_5113,c_9900,c_10193,c_10206,c_10692,c_11032,c_23344,c_23343,c_24184,c_25845,c_33790]) ).
tcf(c_72856,plain,
( cyclic(sK0,sK7,sK10,sK0)
| ~ perp(sK6,sK0,sK0,sK0) ),
inference(renaming,[status(thm)],[c_72855]) ).
tcf(c_74685,plain,
( para(sK1,sK2,sK1,sK2)
| ~ coll(sK3,sK0,sK2) ),
inference(superposition,[status(thm)],[c_4786,c_6642]) ).
tcf(c_74696,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ coll(sK3,sK0,sK2)
| ~ midp(X0,sK1,sK1)
| ~ para(sK1,sK2,sK1,sK2) ),
inference(superposition,[status(thm)],[c_74685,c_113]) ).
tcf(c_74713,plain,
( midp(sK0,sK2,sK2)
| ~ midp(sK0,sK1,sK1)
| ~ coll(sK3,sK0,sK2)
| ~ para(sK1,sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_74696]) ).
tcf(c_75577,plain,
coll(sK0,sK4,sK8),
inference(superposition,[status(thm)],[c_70096,c_85]) ).
tcf(c_75581,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK0,X0,X1)
| ~ perp(sK5,sK2,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_6646,c_52,c_148,c_154,c_156,c_190,c_196,c_938,c_2376,c_2564,c_2690,c_3476,c_4926,c_6585,c_7227,c_8141,c_8634,c_14667,c_20288,c_36075,c_43240,c_55856,c_59268]) ).
tcf(c_75588,plain,
( para(sK2,sK0,sK2,sK0)
| ~ coll(sK6,sK5,sK0) ),
inference(superposition,[status(thm)],[c_4788,c_75581]) ).
tcf(c_75589,plain,
( para(sK2,sK0,sK0,sK2)
| ~ coll(sK6,sK5,sK0) ),
inference(superposition,[status(thm)],[c_5140,c_75581]) ).
tcf(c_75594,plain,
! [X0: $i] :
( coll(sK0,X0,sK0)
| ~ coll(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_71052,c_83]) ).
tcf(c_75630,plain,
para(sK2,sK0,sK2,sK0),
inference(global_subsumption_just,[status(thm)],[c_75588,c_52,c_148,c_154,c_156,c_190,c_196,c_938,c_2376,c_2564,c_2690,c_3476,c_4926,c_7227,c_8141,c_8634,c_14667,c_20288,c_36075,c_43240,c_55856,c_59268,c_61814,c_75589]) ).
tcf(c_75636,plain,
para(sK2,sK0,sK0,sK2),
inference(superposition,[status(thm)],[c_75630,c_120]) ).
tcf(c_75763,plain,
! [X0: $i] :
( midp(sK0,X0,sK2)
| ~ midp(sK2,X0,sK0)
| ~ coll(sK0,X0,sK2) ),
inference(superposition,[status(thm)],[c_75636,c_82]) ).
tcf(c_75778,plain,
( midp(sK0,sK0,sK2)
| ~ midp(sK2,sK0,sK0)
| ~ coll(sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_75763]) ).
tcf(c_77123,plain,
! [X0: $i] :
( eqangle(sK0,sK1,sK0,sK2,sK3,sK1,sK3,X0)
| ~ eqangle(sK0,sK1,sK3,sK1,sK0,sK2,sK3,X0) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_82249,plain,
( eqangle(sK0,sK1,sK0,sK2,sK3,sK1,sK3,sK1)
| ~ eqangle(sK0,sK1,sK3,sK1,sK0,sK2,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_77123]) ).
tcf(c_82250,plain,
( eqangle(sK0,sK1,sK3,sK1,sK0,sK2,sK3,sK1)
| ~ para(sK0,sK1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_83989,plain,
! [X0: $i,X1: $i] :
( para(X0,sK2,X0,sK0)
| ~ midp(sK2,X1,sK0)
| ~ midp(X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_83990,plain,
( para(sK0,sK2,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ midp(sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_83989]) ).
tcf(c_85395,plain,
! [X0: $i] :
( perp(sK0,X0,sK6,sK0)
| ~ cong(sK0,sK6,X0,sK6)
| ~ cong(sK0,sK0,X0,sK0) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_85396,plain,
( perp(sK0,sK0,sK6,sK0)
| ~ cong(sK0,sK6,sK0,sK6)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_85395]) ).
tcf(c_87698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK8)
| ~ coll(X1,X3,sK8)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_87699,plain,
( midp(sK0,sK0,sK8)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK8)
| ~ para(sK0,sK0,sK0,sK8) ),
inference(instantiation,[status(thm)],[c_87698]) ).
tcf(c_87831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK10)
| ~ coll(X1,X3,sK10)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK10) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_87832,plain,
( midp(sK0,sK0,sK10)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK10)
| ~ para(sK0,sK0,sK0,sK10) ),
inference(instantiation,[status(thm)],[c_87831]) ).
tcf(c_88508,plain,
coll(sK2,sK0,sK0),
inference(global_subsumption_just,[status(thm)],[c_52619,c_52,c_148,c_154,c_156,c_190,c_196,c_938,c_2376,c_2564,c_2690,c_3476,c_4926,c_7227,c_8141,c_8634,c_14667,c_20288,c_29838,c_36075,c_43240,c_55856,c_59268,c_61814,c_75589]) ).
tcf(c_88513,plain,
( midp(sK2,sK0,sK0)
| ~ midp(sK0,sK2,sK2) ),
inference(superposition,[status(thm)],[c_88508,c_49023]) ).
tcf(c_90195,plain,
( cong(sK0,sK6,sK0,sK6)
| ~ midp(sK0,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_91520,plain,
! [X0: $i] :
( cyclic(sK1,sK7,sK2,sK8)
| ~ cong(X0,sK1,X0,sK2)
| ~ cong(X0,sK1,X0,sK7)
| ~ cong(X0,sK1,X0,sK8) ),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_91521,plain,
( cyclic(sK1,sK7,sK2,sK8)
| ~ cong(sK0,sK1,sK0,sK2)
| ~ cong(sK0,sK1,sK0,sK7)
| ~ cong(sK0,sK1,sK0,sK8) ),
inference(instantiation,[status(thm)],[c_91520]) ).
tcf(c_95236,plain,
coll(sK0,sK8,sK0),
inference(superposition,[status(thm)],[c_75577,c_75594]) ).
tcf(c_97006,plain,
coll(sK8,sK0,sK0),
inference(superposition,[status(thm)],[c_95236,c_84]) ).
tcf(c_100651,plain,
( midp(sK8,sK0,sK0)
| ~ midp(sK0,sK8,sK8) ),
inference(superposition,[status(thm)],[c_97006,c_49023]) ).
tcf(c_113707,plain,
! [X0: $i] :
( para(sK10,X0,sK10,sK0)
| ~ cyclic(X0,sK7,sK10,sK0)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_44733,c_101]) ).
tcf(c_113765,plain,
( para(sK10,sK0,sK10,sK0)
| ~ cyclic(sK0,sK7,sK10,sK0)
| ~ perp(sK6,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_113707]) ).
tcf(c_132471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK10,sK0)
| ~ perp(X2,X3,sK10,sK0)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_132474,plain,
( para(sK0,sK0,sK10,sK0)
| ~ perp(sK0,sK0,sK10,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_132471]) ).
tcf(c_143783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK1,sK8,X2,X3)
| ~ eqangle(sK1,sK8,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_143804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK1,sK8,sK1,sK2,X2,X3,X0,X1)
| ~ eqangle(sK1,sK2,sK1,sK8,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_144213,plain,
! [X0: $i] :
( para(sK1,sK8,sK1,sK8)
| ~ eqangle(sK1,sK8,sK1,X0,sK1,sK8,sK1,X0) ),
inference(instantiation,[status(thm)],[c_143783]) ).
tcf(c_144246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK8,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK8,X2,X1)
| ~ para(X0,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_144452,plain,
! [X0: $i,X1: $i] :
( eqangle(sK1,sK2,sK1,sK8,X0,X1,sK1,sK8)
| ~ para(sK1,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_144735,plain,
! [X0: $i] :
( eqangle(sK1,sK8,sK1,sK2,X0,sK8,X0,sK2)
| ~ eqangle(sK1,sK2,sK1,sK8,X0,sK2,X0,sK8) ),
inference(instantiation,[status(thm)],[c_143804]) ).
tcf(c_147703,plain,
( eqangle(sK1,sK8,sK1,sK2,sK1,sK8,sK1,sK2)
| ~ eqangle(sK1,sK2,sK1,sK8,sK1,sK2,sK1,sK8) ),
inference(instantiation,[status(thm)],[c_144735]) ).
tcf(c_147704,plain,
( eqangle(sK1,sK2,sK1,sK8,sK1,sK2,sK1,sK8)
| ~ para(sK1,sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_144452]) ).
tcf(c_147975,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK1,X0,sK8)
| ~ cong(X1,X2,X0,sK8)
| ~ cong(X0,sK1,X1,X2) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_147976,plain,
( cong(sK0,sK1,sK0,sK8)
| ~ cong(sK0,sK0,sK0,sK8)
| ~ cong(sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_147975]) ).
tcf(c_149031,plain,
! [X0: $i] :
( cong(X0,sK1,X0,sK7)
| ~ cong(X0,sK1,sK7,X0) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_149032,plain,
( cong(sK0,sK1,sK0,sK7)
| ~ cong(sK0,sK1,sK7,sK0) ),
inference(instantiation,[status(thm)],[c_149031]) ).
tcf(c_151271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK8,X2,X3)
| ~ midp(sK8,X1,X3)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_151272,plain,
( para(sK0,sK8,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ midp(sK8,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_151271]) ).
tcf(c_151780,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,X2,X0,sK8)
| ~ para(X0,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_151781,plain,
( para(sK0,sK0,sK0,sK8)
| ~ para(sK0,sK8,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_151780]) ).
tcf(c_153497,plain,
( para(sK1,sK8,sK1,sK8)
| ~ eqangle(sK1,sK8,sK1,sK2,sK1,sK8,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_144213]) ).
tcf(c_157788,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK8)
| ~ midp(X0,X1,sK8) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_157789,plain,
( cong(sK0,sK0,sK0,sK8)
| ~ midp(sK0,sK0,sK8) ),
inference(instantiation,[status(thm)],[c_157788]) ).
tcf(c_157887,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK1,sK7,X0)
| ~ cong(X1,X2,sK7,X0)
| ~ cong(X0,sK1,X1,X2) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_157888,plain,
( cong(sK0,sK1,sK7,sK0)
| ~ cong(sK0,sK0,sK7,sK0)
| ~ cong(sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_157887]) ).
tcf(c_159983,plain,
! [X0: $i] :
( midp(X0,sK8,sK8)
| ~ midp(X0,sK1,sK1)
| ~ para(sK1,sK8,sK1,sK8) ),
inference(instantiation,[status(thm)],[c_144246]) ).
tcf(c_159984,plain,
( midp(sK0,sK8,sK8)
| ~ midp(sK0,sK1,sK1)
| ~ para(sK1,sK8,sK1,sK8) ),
inference(instantiation,[status(thm)],[c_159983]) ).
tcf(c_162950,plain,
! [X0: $i] :
( eqangle(sK0,X0,sK0,sK7,sK10,sK0,sK10,sK7)
| ~ perp(sK6,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_54,c_93]) ).
tcf(c_165338,plain,
( coll(sK0,sK10,sK0)
| cyclic(sK0,sK7,sK0,sK10)
| ~ perp(sK6,sK0,sK0,sK0) ),
inference(superposition,[status(thm)],[c_162950,c_138]) ).
tcf(c_172690,plain,
~ perp(sK6,sK0,sK0,sK0),
inference(global_subsumption_just,[status(thm)],[c_165338,c_55,c_52,c_50,c_49,c_148,c_154,c_156,c_190,c_196,c_800,c_938,c_2373,c_2374,c_2376,c_2508,c_2564,c_2634,c_2690,c_3476,c_3493,c_3733,c_4663,c_4900,c_4926,c_5194,c_5404,c_5608,c_5821,c_5824,c_6070,c_7208,c_7217,c_7227,c_8095,c_8135,c_8141,c_8147,c_8241,c_8634,c_8989,c_9274,c_9288,c_9287,c_9579,c_9678,c_10478,c_14625,c_14667,c_14866,c_15823,c_19077,c_19078,c_19229,c_19665,c_20288,c_21323,c_21502,c_23727,c_25376,c_25417,c_25845,c_29838,c_29850,c_30713,c_30737,c_30841,c_31144,c_35986,c_36075,c_36096,c_37376,c_38764,c_43240,c_51313,c_55678,c_55827,c_55856,c_59268,c_61814,c_61951,c_65651,c_72856,c_74685,c_74713,c_75589,c_75778,c_82249,c_82250,c_83990,c_87699,c_87832,c_88513,c_91521,c_100651,c_113765,c_132474,c_147703,c_147704,c_147976,c_149032,c_151272,c_151781,c_153497,c_157789,c_157888,c_159984]) ).
tcf(c_205145,plain,
! [X0: $i,X1: $i] :
( midp(sK0,sK6,sK6)
| ~ midp(sK0,X0,X1)
| ~ para(X0,sK6,X1,sK6) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_205146,plain,
( midp(sK0,sK6,sK6)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_205145]) ).
tcf(c_205147,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_205146,c_172690,c_90195,c_85396,c_59268,c_29166,c_20288,c_8634,c_7227,c_4926,c_3476,c_2690,c_2564,c_2376,c_938,c_196,c_154,c_148,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO563+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 12:24:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 57.95/14.95 % SZS status Started for theBenchmark.p
% 57.95/14.95 % SZS status Theorem for theBenchmark.p
% 57.95/14.95
% 57.95/14.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 57.95/14.95
% 57.95/14.95 % ------ iProver source info
% 57.95/14.95
% 57.95/14.95 % git: date: 2026-07-19 20:42:38 +0200
% 57.95/14.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 57.95/14.95 % git: non_committed_changes: false
% 57.95/14.95
% 57.95/14.95 % ------ Parsing...
% 57.95/14.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 57.95/14.95
% 57.95/14.95 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 57.95/14.95
% 57.95/14.95 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 57.95/14.95 % ------ Proving...
% 57.95/14.95 % ------ Problem Properties
% 57.95/14.95
% 57.95/14.95 %
% 57.95/14.95 % clauses 95
% 57.95/14.95 % conjectures 8
% 57.95/14.95 % EPR 62
% 57.95/14.95 % Horn 90
% 57.95/14.95 % unary 8
% 57.95/14.95 % binary 24
% 57.95/14.95 % lits 264
% 57.95/14.95 % lits eq 0
% 57.95/14.95 % fd_pure 0
% 57.95/14.95 % fd_pseudo 0
% 57.95/14.95 % fd_cond 0
% 57.95/14.95 % fd_pseudo_cond 0
% 57.95/14.95 % AC symbols 0
% 57.95/14.95
% 57.95/14.95 % ------ Schedule dynamic 5 is on
% 57.95/14.95
% 57.95/14.95 % ------ no equalities: superposition off
% 57.95/14.95
% 57.95/14.95 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 57.95/14.95
% 57.95/14.95
% 57.95/14.95 % ------
% 57.95/14.95 % Current options:
% 57.95/14.95 % ------
% 57.95/14.95
% 57.95/14.95
% 57.95/14.95 %
% 57.95/14.95
% 57.95/14.95 % ------ Proving...
% 57.95/14.95 % Proof_search_loop: time out after: 10544 full_loop iterations
% 57.95/14.95
% 57.95/14.95 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 57.95/14.95
% 57.95/14.95
% 57.95/14.95 % ------
% 57.95/14.95 % Current options:
% 57.95/14.95 % ------
% 57.95/14.95
% 57.95/14.95
% 57.95/14.95 %
% 57.95/14.95
% 57.95/14.95 % ------ Proving...
% 57.95/14.95 %
% 57.95/14.95
% 57.95/14.95 % SZS status Theorem for theBenchmark.p
% 57.95/14.95
% 57.95/14.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.95/14.96
% 57.95/14.96
%------------------------------------------------------------------------------