%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO645+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 : n026.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 01:21:44 PM UTC 2026
% Result : Theorem 90.88s 13.99s
% Output : CNFRefutation 90.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 35
% Syntax : Number of formulae : 361 ( 48 unt; 0 def)
% Number of atoms : 960 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1092 ( 493 ~; 492 |; 71 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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; 9 con; 0-7 aty)
% Number of variables : 1070 ( 0 sgn1041 !; 29 ?; 389 :)
% 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(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(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
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(f42,axiom,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(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(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(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(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f83,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ( coll(X3,X0,X1)
& coll(X2,X0,X1)
& midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> midp(X7,X0,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX7) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X0,X1,X5,X8)
& coll(X5,X1,X3)
& circle(X0,X1,X4,X7)
& coll(X4,X1,X2)
& circle(X0,X2,X3,X6)
& perp(X0,X3,X3,X1)
& perp(X0,X2,X2,X1) )
=> para(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0091) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X0,X1,X5,X8)
& coll(X5,X1,X3)
& circle(X0,X1,X4,X7)
& coll(X4,X1,X2)
& circle(X0,X2,X3,X6)
& perp(X0,X3,X3,X1)
& perp(X0,X2,X2,X1) )
=> para(X2,X3,X4,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,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(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f115,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(f116,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,[],[f115]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f123,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(f124,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(f125,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(f126,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(f127,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,[],[f126]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,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(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f148,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(f149,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(f151,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(f152,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,[],[f151]) ).
fof(f153,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(f154,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,[],[f153]) ).
fof(f155,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(f156,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,[],[f155]) ).
fof(f159,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(f160,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,[],[f159]) ).
fof(f164,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(f165,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,[],[f164]) ).
fof(f170,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(f171,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,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f172]) ).
fof(f180,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(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f193,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(f194,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,[],[f193]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f224,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(flattening,[],[f224]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(ennf_transformation,[],[f83]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(flattening,[],[f226]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f241,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(flattening,[],[f241]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( circle(X0,X1,X5,X8)
& coll(X5,X1,X3)
& circle(X0,X1,X4,X7)
& coll(X4,X1,X2)
& circle(X0,X2,X3,X6)
& perp(X0,X3,X3,X1)
& perp(X0,X2,X2,X1)
& ~ para(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( circle(X0,X1,X5,X8)
& coll(X5,X1,X3)
& circle(X0,X1,X4,X7)
& coll(X4,X1,X2)
& circle(X0,X2,X3,X6)
& perp(X0,X3,X3,X1)
& perp(X0,X2,X2,X1)
& ~ para(X2,X3,X4,X5) ),
inference(flattening,[],[f249]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X6,sK5(X0,X1,X2,X3,X4,X5))],[f225]) ).
fof(f257,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK6(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X7,sK6(X0,X1,X2,X3,X4,X5,X6))],[f227]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f242]) ).
fof(f270,plain,
( circle(sK20,sK21,sK25,sK28)
& coll(sK25,sK21,sK23)
& circle(sK20,sK21,sK24,sK27)
& coll(sK24,sK21,sK22)
& circle(sK20,sK22,sK23,sK26)
& perp(sK20,sK23,sK23,sK21)
& perp(sK20,sK22,sK22,sK21)
& ~ para(sK22,sK23,sK24,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,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,[],[f109]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f283,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,[],[f116]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f289,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,[],[f123]) ).
fof(f290,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,[],[f124]) ).
fof(f291,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,[],[f125]) ).
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,[],[f127]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,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,[],[f131]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f312,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,[],[f152]) ).
fof(f313,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,[],[f154]) ).
fof(f314,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,[],[f156]) ).
fof(f316,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,[],[f160]) ).
fof(f319,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,[],[f165]) ).
fof(f322,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,[],[f171]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f335,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,[],[f194]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f359,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f360,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK6(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(cnf_transformation,[],[f257]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f262]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f266]) ).
fof(f385,plain,
coll(sK25,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
circle(sK20,sK21,sK24,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK20,sK23,sK23,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
perp(sK20,sK22,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ para(sK22,sK23,sK24,sK25),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,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_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,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,[],[f279]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X3,X2,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_67,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,[],[f289]) ).
tcf(c_68,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,[],[f290]) ).
tcf(c_69,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,[],[f291]) ).
tcf(c_70,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(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_73,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,[],[f295]) ).
tcf(c_87,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,[],[f309]) ).
tcf(c_88,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,[],[f310]) ).
tcf(c_90,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,[],[f312]) ).
tcf(c_91,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,[],[f313]) ).
tcf(c_92,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,[],[f314]) ).
tcf(c_94,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,[],[f316]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
| ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_100,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,[],[f322]) ).
tcf(c_101,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,[],[f323]) ).
tcf(c_105,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,[],[f327]) ).
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,[],[f335]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( midp(sK5(X1,X2,X4,X5,X0,X3),X1,X5)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( midp(sK6(X1,X2,X0,X3,X4,X5,X6),X1,X6)
| ~ midp(X5,X0,X3)
| ~ midp(X4,X1,X2)
| ~ coll(X3,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK11(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_162,negated_conjecture,
~ para(sK22,sK23,sK24,sK25),
inference(cnf_transformation,[],[f391]) ).
tcf(c_163,negated_conjecture,
perp(sK20,sK22,sK22,sK21),
inference(cnf_transformation,[],[f390]) ).
tcf(c_164,negated_conjecture,
perp(sK20,sK23,sK23,sK21),
inference(cnf_transformation,[],[f389]) ).
tcf(c_166,negated_conjecture,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f387]) ).
tcf(c_167,negated_conjecture,
circle(sK20,sK21,sK24,sK27),
inference(cnf_transformation,[],[f386]) ).
tcf(c_168,negated_conjecture,
coll(sK25,sK21,sK23),
inference(cnf_transformation,[],[f385]) ).
tcf(c_175,plain,
( midp(sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| ~ cong(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_179,plain,
( eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_184,plain,
( perp(sK21,sK21,sK21,sK21)
| ~ cong(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_200,plain,
( cyclic(sK21,sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_233,plain,
( cong(sK21,sK21,sK21,sK21)
| ~ cyclic(sK21,sK21,sK21,sK21)
| ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_271,plain,
( coll(sK24,sK22,sK21)
| ~ coll(sK24,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_275,plain,
( coll(sK21,sK24,sK22)
| ~ coll(sK24,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_276,plain,
( coll(sK21,sK25,sK23)
| ~ coll(sK25,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_279,plain,
( perp(sK20,sK22,sK21,sK22)
| ~ perp(sK20,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_280,plain,
( perp(sK20,sK23,sK21,sK23)
| ~ perp(sK20,sK23,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_305,plain,
coll(sK24,sK22,sK21),
inference(resolution,[status(thm)],[c_49,c_166]) ).
tcf(c_306,plain,
coll(sK25,sK23,sK21),
inference(resolution,[status(thm)],[c_49,c_168]) ).
tcf(c_308,plain,
( perp(sK11(sK21,sK24,sK27,sK20),sK21,sK21,sK20)
| ~ circle(sK20,sK21,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_331,plain,
coll(sK23,sK25,sK21),
inference(resolution,[status(thm)],[c_50,c_306]) ).
tcf(c_340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( midp(sK5(X1,X2,X4,X5,X0,X3),X5,X1)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_135,c_59]) ).
tcf(c_394,plain,
! [X0: $i] :
( coll(X0,sK21,sK24)
| ~ coll(sK24,sK22,sK21)
| ~ coll(sK24,sK22,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_395,plain,
( coll(sK21,sK21,sK24)
| ~ coll(sK24,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_394]) ).
tcf(c_442,plain,
! [X0: $i] :
( coll(X0,sK22,sK21)
| ~ coll(sK21,sK24,sK22)
| ~ coll(sK21,sK24,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_443,plain,
( coll(sK21,sK22,sK21)
| ~ coll(sK21,sK24,sK21)
| ~ coll(sK21,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_442]) ).
tcf(c_462,plain,
! [X0: $i] :
( coll(X0,sK23,sK21)
| ~ coll(sK21,sK25,sK23)
| ~ coll(sK21,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_463,plain,
( coll(sK21,sK23,sK21)
| ~ coll(sK21,sK25,sK21)
| ~ coll(sK21,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_471,plain,
( perp(sK21,sK22,sK20,sK22)
| ~ perp(sK20,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_473,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK22)
| ~ perp(sK20,sK22,sK21,sK22)
| ~ perp(X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_481,plain,
coll(sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_166,c_49]) ).
tcf(c_482,plain,
coll(sK25,sK23,sK21),
inference(superposition,[status(thm)],[c_168,c_49]) ).
tcf(c_483,plain,
( perp(sK21,sK23,sK20,sK23)
| ~ perp(sK20,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_485,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK23)
| ~ perp(sK20,sK23,sK21,sK23)
| ~ perp(X0,X1,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_486,plain,
( para(sK21,sK21,sK21,sK23)
| ~ perp(sK21,sK21,sK20,sK23)
| ~ perp(sK20,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_485]) ).
tcf(c_495,plain,
coll(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_166,c_50]) ).
tcf(c_497,plain,
coll(sK22,sK24,sK21),
inference(superposition,[status(thm)],[c_481,c_50]) ).
tcf(c_498,plain,
coll(sK23,sK25,sK21),
inference(superposition,[status(thm)],[c_482,c_50]) ).
tcf(c_514,plain,
coll(sK21,sK22,sK24),
inference(superposition,[status(thm)],[c_495,c_49]) ).
tcf(c_521,plain,
perp(sK20,sK22,sK21,sK22),
inference(resolution,[status(thm)],[c_55,c_163]) ).
tcf(c_522,plain,
perp(sK20,sK23,sK21,sK23),
inference(resolution,[status(thm)],[c_55,c_164]) ).
tcf(c_555,plain,
perp(sK21,sK22,sK20,sK22),
inference(resolution,[status(thm)],[c_56,c_521]) ).
tcf(c_556,plain,
perp(sK21,sK23,sK20,sK23),
inference(resolution,[status(thm)],[c_56,c_522]) ).
tcf(c_559,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_166,c_51]) ).
tcf(c_560,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_168,c_51]) ).
tcf(c_561,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK24,sK22,X0) ),
inference(superposition,[status(thm)],[c_481,c_51]) ).
tcf(c_562,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_482,c_51]) ).
tcf(c_565,plain,
! [X0: $i] :
( coll(sK24,X0,sK21)
| ~ coll(sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_514,c_51]) ).
tcf(c_567,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK24,X0) ),
inference(superposition,[status(thm)],[c_497,c_51]) ).
tcf(c_568,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_498,c_51]) ).
tcf(c_575,plain,
( coll(sK21,sK21,sK23)
| ~ coll(sK23,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_584,plain,
( coll(sK24,sK21,sK21)
| ~ coll(sK21,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_565]) ).
tcf(c_637,plain,
( perp(sK21,sK20,sK11(sK21,sK24,sK27,sK20),sK21)
| ~ perp(sK11(sK21,sK24,sK27,sK20),sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_639,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK20)
| ~ perp(sK11(sK21,sK24,sK27,sK20),sK21,sK21,sK20)
| ~ perp(X0,X1,sK11(sK21,sK24,sK27,sK20),sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_788,plain,
! [X0: $i] :
( coll(X0,sK22,sK24)
| ~ coll(sK24,sK21,X0) ),
inference(resolution,[status(thm)],[c_51,c_166]) ).
tcf(c_790,plain,
! [X0: $i] :
( coll(X0,sK21,sK24)
| ~ coll(sK24,sK22,X0) ),
inference(resolution,[status(thm)],[c_51,c_305]) ).
tcf(c_791,plain,
! [X0: $i] :
( coll(X0,sK21,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(resolution,[status(thm)],[c_51,c_306]) ).
tcf(c_821,plain,
coll(sK22,sK22,sK24),
inference(resolution,[status(thm)],[c_788,c_166]) ).
tcf(c_855,plain,
! [X0: $i] :
( coll(X0,sK24,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(resolution,[status(thm)],[c_821,c_51]) ).
tcf(c_1005,plain,
coll(sK21,sK21,sK24),
inference(resolution,[status(thm)],[c_790,c_305]) ).
tcf(c_1008,plain,
coll(sK21,sK24,sK21),
inference(resolution,[status(thm)],[c_1005,c_49]) ).
tcf(c_1033,plain,
coll(sK21,sK21,sK25),
inference(resolution,[status(thm)],[c_791,c_306]) ).
tcf(c_1045,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_481,c_561]) ).
tcf(c_1060,plain,
coll(sK21,sK25,sK21),
inference(resolution,[status(thm)],[c_1033,c_49]) ).
tcf(c_1131,plain,
coll(sK24,sK24,sK22),
inference(resolution,[status(thm)],[c_855,c_821]) ).
tcf(c_1133,plain,
! [X0: $i] :
( coll(sK24,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_1045,c_51]) ).
tcf(c_1135,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_1045,c_49]) ).
tcf(c_1155,plain,
coll(sK24,sK22,sK24),
inference(resolution,[status(thm)],[c_1131,c_49]) ).
tcf(c_1164,plain,
! [X0: $i] :
( coll(sK21,X0,sK21)
| ~ coll(sK21,sK24,X0) ),
inference(superposition,[status(thm)],[c_1135,c_51]) ).
tcf(c_1167,plain,
( coll(sK21,sK21,sK21)
| ~ coll(sK21,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_1164]) ).
tcf(c_1209,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_482,c_562]) ).
tcf(c_1439,plain,
! [X0: $i] :
( coll(X0,sK24,sK24)
| ~ coll(sK24,sK22,X0) ),
inference(resolution,[status(thm)],[c_1155,c_51]) ).
tcf(c_1440,plain,
( coll(sK21,sK24,sK24)
| ~ coll(sK24,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_1439]) ).
tcf(c_1751,plain,
( para(sK21,sK22,sK21,sK22)
| ~ perp(sK21,sK22,sK20,sK22)
| ~ perp(sK20,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_473]) ).
tcf(c_1754,plain,
( para(sK21,sK23,sK21,sK23)
| ~ perp(sK21,sK23,sK20,sK23)
| ~ perp(sK20,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_485]) ).
tcf(c_1768,plain,
( para(sK21,sK20,sK21,sK20)
| ~ perp(sK21,sK20,sK11(sK21,sK24,sK27,sK20),sK21)
| ~ perp(sK11(sK21,sK24,sK27,sK20),sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_639]) ).
tcf(c_2012,plain,
coll(sK24,sK25,sK21),
inference(superposition,[status(thm)],[c_1209,c_1133]) ).
tcf(c_2026,plain,
coll(sK24,sK21,sK25),
inference(superposition,[status(thm)],[c_2012,c_49]) ).
tcf(c_2133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X4,X3)
| ~ midp(X0,X1,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_117,c_61]) ).
tcf(c_2134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(X0,X4,X2,X3)
| ~ midp(X0,X4,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_117,c_73]) ).
tcf(c_2135,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
tcf(c_2159,plain,
! [X0: $i,X1: $i] :
( perp(sK16(sK20,sK21,sK22,X0,X1),sK20,X0,X1)
| ~ coll(sK21,X0,X1)
| ~ perp(sK20,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_2160,plain,
( perp(sK16(sK20,sK21,sK22,sK21,sK21),sK20,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| ~ perp(sK20,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_2159]) ).
tcf(c_2430,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK16(sK20,sK21,sK22,X0,X1),sK20)
| ~ perp(sK16(sK20,sK21,sK22,X0,X1),sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_2432,plain,
( perp(sK21,sK21,sK16(sK20,sK21,sK22,sK21,sK21),sK20)
| ~ perp(sK16(sK20,sK21,sK22,sK21,sK21),sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_2430]) ).
tcf(c_2433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ perp(X2,X3,sK16(sK20,sK21,sK22,X0,X1),sK20)
| ~ perp(sK16(sK20,sK21,sK22,X0,X1),sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_2434,plain,
( para(sK21,sK21,sK21,sK21)
| ~ perp(sK21,sK21,sK16(sK20,sK21,sK22,sK21,sK21),sK20)
| ~ perp(sK16(sK20,sK21,sK22,sK21,sK21),sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_2433]) ).
tcf(c_2481,plain,
coll(sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_2026,c_559]) ).
tcf(c_2498,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK22)
| ~ perp(X0,X1,sK20,sK22) ),
inference(resolution,[status(thm)],[c_57,c_521]) ).
tcf(c_2500,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK23)
| ~ perp(X0,X1,sK20,sK23) ),
inference(resolution,[status(thm)],[c_57,c_522]) ).
tcf(c_2569,plain,
coll(sK22,sK24,sK25),
inference(superposition,[status(thm)],[c_2481,c_49]) ).
tcf(c_2585,plain,
coll(sK21,sK25,sK22),
inference(superposition,[status(thm)],[c_2569,c_567]) ).
tcf(c_2720,plain,
para(sK21,sK22,sK21,sK22),
inference(resolution,[status(thm)],[c_2498,c_555]) ).
tcf(c_2740,plain,
coll(sK25,sK21,sK22),
inference(superposition,[status(thm)],[c_2585,c_50]) ).
tcf(c_2756,plain,
para(sK21,sK23,sK21,sK23),
inference(resolution,[status(thm)],[c_2500,c_556]) ).
tcf(c_3249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X0,X2)
| ~ midp(X0,X3,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_2134]) ).
tcf(c_3269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X3,X4,X2)
| ~ midp(X0,X3,X1)
| ~ midp(X0,X1,X4)
| ~ cong(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_2135,c_2133]) ).
tcf(c_3856,plain,
coll(sK23,sK22,sK25),
inference(superposition,[status(thm)],[c_2740,c_560]) ).
tcf(c_3873,plain,
coll(sK23,sK25,sK22),
inference(superposition,[status(thm)],[c_3856,c_49]) ).
tcf(c_4009,plain,
coll(sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_3873,c_568]) ).
tcf(c_4163,plain,
( para(sK22,sK23,sK24,sK25)
| ~ para(sK24,sK25,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_6332,plain,
( para(sK24,sK25,sK22,sK23)
| ~ para(sK24,sK25,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_7600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( cong(sK5(X0,X1,X2,X3,X4,X5),X6,sK5(X0,X1,X2,X3,X4,X5),X3)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(sK5(X0,X1,X2,X3,X4,X5),X6,X0) ),
inference(superposition,[status(thm)],[c_135,c_3249]) ).
tcf(c_8227,plain,
! [X0: $i] :
( eqangle(sK21,X0,sK21,sK24,sK27,sK21,sK27,sK24)
| ~ perp(sK20,sK21,sK21,X0) ),
inference(resolution,[status(thm)],[c_97,c_167]) ).
tcf(c_8646,plain,
! [X0: $i] :
( eqangle(sK21,sK24,sK21,X0,sK27,sK24,sK27,sK21)
| ~ perp(sK20,sK21,sK21,X0) ),
inference(resolution,[status(thm)],[c_8227,c_67]) ).
tcf(c_8652,plain,
( coll(sK21,sK27,sK21)
| cyclic(sK21,sK24,sK21,sK27)
| ~ perp(sK20,sK21,sK21,sK21) ),
inference(resolution,[status(thm)],[c_8227,c_90]) ).
tcf(c_8722,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK21,sK22,X0,X1,sK22,X1,X0)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_163,c_97]) ).
tcf(c_8723,plain,
! [X0: $i,X1: $i] :
( eqangle(sK23,sK21,sK23,X0,X1,sK23,X1,X0)
| ~ circle(sK20,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_97]) ).
tcf(c_9033,plain,
( cyclic(sK24,sK21,sK21,sK27)
| ~ coll(sK21,sK27,sK21)
| ~ perp(sK20,sK21,sK21,sK21) ),
inference(resolution,[status(thm)],[c_8646,c_91]) ).
tcf(c_10324,plain,
( perp(sK22,sK23,sK16(sK20,sK21,sK22,sK22,sK23),sK20)
| ~ perp(sK16(sK20,sK21,sK22,sK22,sK23),sK20,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_2430]) ).
tcf(c_10607,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,X0,sK22,sK21,X1,X0,X1,sK22)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_8722,c_67]) ).
tcf(c_11132,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK23,sK24,sK25,X0,X1,sK24,sK25)
| ~ para(sK22,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_11243,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK25,sK23,sK22)
| ~ perp(sK24,sK25,X0,X1)
| ~ perp(X0,X1,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_11244,plain,
( para(sK24,sK25,sK23,sK22)
| ~ perp(sK21,sK21,sK23,sK22)
| ~ perp(sK24,sK25,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_11243]) ).
tcf(c_11959,plain,
( perp(sK16(sK20,sK21,sK22,sK22,sK23),sK20,sK22,sK23)
| ~ coll(sK21,sK22,sK23)
| ~ perp(sK20,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_2159]) ).
tcf(c_12344,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK25,X0,X1)
| ~ perp(X0,X1,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_12345,plain,
( perp(sK24,sK25,sK21,sK21)
| ~ perp(sK21,sK21,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_12344]) ).
tcf(c_13685,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ perp(sK22,sK23,sK16(sK20,sK21,sK22,X0,X1),sK20)
| ~ perp(sK16(sK20,sK21,sK22,X0,X1),sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_2433]) ).
tcf(c_14346,plain,
! [X0: $i] :
( cong(X0,sK25,X0,sK25)
| ~ midp(X0,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_14347,plain,
( cong(sK21,sK25,sK21,sK25)
| ~ midp(sK21,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_14346]) ).
tcf(c_14469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X1,sK24,X2,X3,X1,sK24)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_14470,plain,
( eqangle(sK21,sK21,sK21,sK24,sK21,sK21,sK21,sK24)
| ~ para(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_14469]) ).
tcf(c_14839,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK24,X1,sK24)
| ~ midp(sK24,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_14840,plain,
( cong(sK21,sK24,sK21,sK24)
| ~ midp(sK24,sK21,sK21)
| ~ perp(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_14839]) ).
tcf(c_14870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( cyclic(X6,X8,X7,X3)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(sK5(X0,X1,X2,X3,X4,X5),X8,X6)
| ~ midp(sK5(X0,X1,X2,X3,X4,X5),X6,X7)
| ~ midp(sK5(X0,X1,X2,X3,X4,X5),X6,X0) ),
inference(superposition,[status(thm)],[c_7600,c_3269]) ).
tcf(c_15378,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK23)
| ~ cong(X0,sK20,X1,sK20)
| ~ cong(X0,sK23,X1,sK23) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_15379,plain,
( perp(sK21,sK21,sK20,sK23)
| ~ cong(sK21,sK20,sK21,sK20)
| ~ cong(sK21,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_15378]) ).
tcf(c_15518,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,sK20,X1,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_15519,plain,
( perp(sK21,sK21,sK20,sK21)
| ~ cong(sK21,sK21,sK21,sK21)
| ~ cong(sK21,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_15518]) ).
tcf(c_15769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( cyclic(X3,X7,X6,X3)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(sK5(X0,X1,X2,X3,X4,X5),X7,X3)
| ~ midp(sK5(X0,X1,X2,X3,X4,X5),X3,X6) ),
inference(superposition,[status(thm)],[c_340,c_14870]) ).
tcf(c_15818,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,X0,X1,X0,sK22,sK21,X1,sK22)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_10607,c_69]) ).
tcf(c_16962,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK23,X1)
| ~ midp(X0,X1,sK23) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_16963,plain,
( midp(sK21,sK23,sK21)
| ~ midp(sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_16962]) ).
tcf(c_16980,plain,
! [X0: $i] :
( cong(X0,sK20,X0,sK20)
| ~ midp(X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_16981,plain,
( cong(sK21,sK20,sK21,sK20)
| ~ midp(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16980]) ).
tcf(c_17276,plain,
( para(sK22,sK23,sK22,sK23)
| ~ perp(sK22,sK23,sK16(sK20,sK21,sK22,sK22,sK23),sK20)
| ~ perp(sK16(sK20,sK21,sK22,sK22,sK23),sK20,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_13685]) ).
tcf(c_17943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( cyclic(X3,X6,X0,X3)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(sK5(X0,X1,X2,X3,X4,X5),X6,X3) ),
inference(superposition,[status(thm)],[c_340,c_15769]) ).
tcf(c_18074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK22,sK21,sK22,X1,X2,X3,X4,X5)
| ~ circle(sK20,sK22,X1,X0)
| ~ eqangle(X0,sK22,X0,X1,X2,X3,X4,X5) ),
inference(superposition,[status(thm)],[c_8722,c_70]) ).
tcf(c_18075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK23,sK21,sK23,X1,X2,X3,X4,X5)
| ~ circle(sK20,sK23,X1,X0)
| ~ eqangle(X0,sK23,X0,X1,X2,X3,X4,X5) ),
inference(superposition,[status(thm)],[c_8723,c_70]) ).
tcf(c_21955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cyclic(X5,X1,X1,X5)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_135,c_17943]) ).
tcf(c_21966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( cyclic(X8,X5,X5,X8)
| ~ midp(X6,X7,X8)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_340,c_21955]) ).
tcf(c_22012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(sK6(sK23,X3,X1,X2,X4,X0,sK24),sK23,sK24)
| ~ midp(X4,sK23,X3)
| ~ coll(X2,sK23,X3)
| ~ coll(X1,sK23,X3)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_22014,plain,
( midp(sK6(sK23,sK21,sK21,sK21,sK21,sK21,sK24),sK23,sK24)
| ~ midp(sK21,sK21,sK21)
| ~ midp(sK21,sK23,sK21)
| ~ coll(sK21,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_22012]) ).
tcf(c_22217,plain,
( eqangle(sK23,sK21,sK23,sK23,sK22,sK21,sK22,sK22)
| ~ circle(sK20,sK23,sK23,sK22)
| ~ circle(sK20,sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_15818,c_18075]) ).
tcf(c_22378,plain,
( eqangle(sK23,sK23,sK23,sK21,sK22,sK22,sK22,sK21)
| ~ circle(sK20,sK23,sK23,sK22)
| ~ circle(sK20,sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_22217,c_67]) ).
tcf(c_22704,plain,
( coll(sK21,sK27,sK21)
| cyclic(sK24,sK21,sK21,sK27)
| ~ perp(sK20,sK21,sK21,sK21) ),
inference(resolution,[status(thm)],[c_8652,c_64]) ).
tcf(c_23049,plain,
( eqangle(sK23,sK21,sK23,sK21,sK22,sK22,sK22,sK21)
| ~ circle(sK20,sK23,sK21,sK23)
| ~ circle(sK20,sK23,sK23,sK22)
| ~ circle(sK20,sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_22378,c_18075]) ).
tcf(c_23109,plain,
( eqangle(sK22,sK22,sK22,sK21,sK23,sK21,sK23,sK21)
| ~ circle(sK20,sK23,sK21,sK23)
| ~ circle(sK20,sK23,sK23,sK22)
| ~ circle(sK20,sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_23049,c_68]) ).
tcf(c_23996,plain,
( eqangle(sK22,sK21,sK22,sK21,sK23,sK21,sK23,sK21)
| ~ circle(sK20,sK23,sK21,sK23)
| ~ circle(sK20,sK23,sK23,sK22)
| ~ circle(sK20,sK22,sK21,sK22)
| ~ circle(sK20,sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_23109,c_18074]) ).
tcf(c_24309,plain,
( midp(sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| ~ circle(sK20,sK23,sK21,sK23)
| ~ circle(sK20,sK23,sK23,sK22)
| ~ circle(sK20,sK22,sK21,sK22)
| ~ circle(sK20,sK22,sK23,sK22)
| ~ circle(sK23,sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_23996,c_100]) ).
tcf(c_24325,plain,
midp(sK21,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_24309,c_163,c_175,c_179,c_200,c_233,c_1008,c_1167,c_2160,c_2432,c_2434]) ).
tcf(c_24429,plain,
! [X0: $i] :
( cong(sK24,X0,sK24,sK21)
| ~ cyclic(sK24,X0,sK21,sK27)
| ~ cyclic(sK24,X0,sK21,sK21)
| ~ cyclic(sK24,X0,sK21,sK24)
| ~ perp(sK20,sK21,sK21,X0) ),
inference(resolution,[status(thm)],[c_92,c_8646]) ).
tcf(c_24430,plain,
( cong(sK24,sK21,sK24,sK21)
| ~ cyclic(sK24,sK21,sK21,sK27)
| ~ cyclic(sK24,sK21,sK21,sK21)
| ~ cyclic(sK24,sK21,sK21,sK24)
| ~ perp(sK20,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_24429]) ).
tcf(c_25900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK23)
| ~ coll(X1,X3,sK23)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_25901,plain,
( midp(sK21,sK21,sK23)
| ~ midp(sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK23)
| ~ para(sK21,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_25900]) ).
tcf(c_26480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cyclic(X5,X2,X2,X5)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_24325,c_21966]) ).
tcf(c_28026,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ coll(X0,sK24,sK24)
| ~ cong(X0,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_28027,plain,
( midp(sK21,sK24,sK24)
| ~ coll(sK21,sK24,sK24)
| ~ cong(sK21,sK24,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_28026]) ).
tcf(c_28400,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK20,sK20)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK20,X1,sK20) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_28401,plain,
( midp(sK21,sK20,sK20)
| ~ midp(sK21,sK21,sK21)
| ~ para(sK21,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_28400]) ).
tcf(c_28535,plain,
( eqangle(sK22,sK23,sK24,sK25,sK22,sK23,sK24,sK25)
| ~ para(sK22,sK23,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_11132]) ).
tcf(c_31595,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X0,X1)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_31596,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ perp(sK21,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_31595]) ).
tcf(c_36522,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK23,sK22)
| ~ cong(X0,sK23,X1,sK23)
| ~ cong(X0,sK22,X1,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_36523,plain,
( perp(sK21,sK21,sK23,sK22)
| ~ cong(sK21,sK23,sK21,sK23)
| ~ cong(sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_36522]) ).
tcf(c_41932,plain,
! [X0: $i] :
( cong(X0,sK22,X0,sK22)
| ~ midp(X0,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_41933,plain,
( cong(sK21,sK22,sK21,sK22)
| ~ midp(sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_41932]) ).
tcf(c_41948,plain,
! [X0: $i] :
( cong(X0,sK23,X0,sK23)
| ~ midp(X0,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_41949,plain,
( cong(sK21,sK23,sK21,sK23)
| ~ midp(sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_41948]) ).
tcf(c_43434,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK22,sK21,sK22) ),
inference(resolution,[status(thm)],[c_113,c_2720]) ).
tcf(c_43435,plain,
( midp(sK21,sK22,sK22)
| ~ midp(sK21,sK21,sK21)
| ~ para(sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_43434]) ).
tcf(c_43436,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK23,sK21,sK23) ),
inference(resolution,[status(thm)],[c_113,c_2756]) ).
tcf(c_43437,plain,
( midp(sK21,sK23,sK23)
| ~ midp(sK21,sK21,sK21)
| ~ para(sK21,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_43436]) ).
tcf(c_44319,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK24,sK25)
| ~ cong(X0,sK25,X1,sK25)
| ~ cong(X0,sK24,X1,sK24) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_44320,plain,
( perp(sK21,sK21,sK24,sK25)
| ~ cong(sK21,sK25,sK21,sK25)
| ~ cong(sK21,sK24,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_44319]) ).
tcf(c_44691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK24,sK25,X2,X3)
| ~ eqangle(sK24,sK25,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_44914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK25)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK25,X2,X1)
| ~ para(X0,X1,X2,sK25) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_45290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK24,sK25,sK22,sK23,X2,X3,X0,X1)
| ~ eqangle(sK22,sK23,sK24,sK25,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_51209,plain,
! [X0: $i,X1: $i] :
( eqangle(sK24,sK25,sK22,sK23,sK24,sK25,X0,X1)
| ~ eqangle(sK22,sK23,sK24,sK25,X0,X1,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_45290]) ).
tcf(c_52329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(sK24,sK21,sK21,sK24)
| ~ midp(X2,X3,sK24)
| ~ midp(X0,X1,sK21) ),
inference(instantiation,[status(thm)],[c_26480]) ).
tcf(c_52523,plain,
( eqangle(sK24,sK25,sK22,sK23,sK24,sK25,sK22,sK23)
| ~ eqangle(sK22,sK23,sK24,sK25,sK22,sK23,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_51209]) ).
tcf(c_52524,plain,
( para(sK24,sK25,sK24,sK25)
| ~ eqangle(sK24,sK25,sK22,sK23,sK24,sK25,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_44691]) ).
tcf(c_54464,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK24,X0,X1,X2)
| ~ cyclic(X0,sK24,X1,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_54465,plain,
( cyclic(sK24,sK21,sK21,sK21)
| ~ cyclic(sK21,sK24,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_54464]) ).
tcf(c_58249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( cyclic(sK24,sK21,sK21,sK24)
| ~ midp(X5,X6,sK21)
| ~ midp(sK6(sK23,X0,X1,X2,X3,X4,sK24),sK23,sK24) ),
inference(instantiation,[status(thm)],[c_52329]) ).
tcf(c_58250,plain,
( cyclic(sK24,sK21,sK21,sK24)
| ~ midp(sK21,sK21,sK21)
| ~ midp(sK6(sK23,sK21,sK21,sK21,sK21,sK21,sK24),sK23,sK24) ),
inference(instantiation,[status(thm)],[c_58249]) ).
tcf(c_59674,plain,
! [X0: $i,X1: $i] :
( midp(sK24,X0,X1)
| ~ coll(sK24,X0,X1)
| ~ cong(sK24,X0,sK24,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_59675,plain,
( midp(sK24,sK21,sK21)
| ~ coll(sK24,sK21,sK21)
| ~ cong(sK24,sK21,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_59674]) ).
tcf(c_62105,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK24,X0,sK21)
| ~ coll(X0,sK21,sK24)
| ~ eqangle(X0,X1,X0,sK24,sK21,X1,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_62106,plain,
( cyclic(sK21,sK24,sK21,sK21)
| ~ coll(sK21,sK21,sK24)
| ~ eqangle(sK21,sK21,sK21,sK24,sK21,sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_62105]) ).
tcf(c_62744,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ midp(X0,sK24,sK24)
| ~ para(sK24,sK25,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_44914]) ).
tcf(c_62747,plain,
( midp(sK21,sK25,sK25)
| ~ midp(sK21,sK24,sK24)
| ~ para(sK24,sK25,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_62744]) ).
tcf(c_62822,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_62747,c_62106,c_59675,c_58250,c_54465,c_52524,c_52523,c_44320,c_43437,c_43435,c_41949,c_41933,c_36523,c_31596,c_28535,c_28401,c_28027,c_25901,c_24430,c_22704,c_22014,c_17276,c_16981,c_16963,c_15519,c_15379,c_14840,c_14470,c_14347,c_12345,c_11959,c_11244,c_10324,c_9033,c_6332,c_4163,c_4009,c_2434,c_2432,c_2160,c_1768,c_1754,c_1751,c_1440,c_1167,c_1060,c_1008,c_637,c_584,c_575,c_486,c_483,c_471,c_463,c_443,c_395,c_331,c_308,c_280,c_279,c_276,c_275,c_271,c_233,c_200,c_184,c_179,c_175,c_162,c_163,c_164,c_167,c_166,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO645+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.52 % Computer : n026.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.52 % WCLimit : 300
% 0.09/0.52 % DateTime : Wed Sep 23 12:41:41 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.53 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.56 Running first-order theorem proving
% 0.14/0.56 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
% 0.14/0.57
% 0.14/0.57 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.57
% 0.14/0.57 % Detected problem language: tptp
% 0.14/0.59 % Proving...
% 90.88/13.99 % SZS status Started for theBenchmark.p
% 90.88/13.99 % SZS status Theorem for theBenchmark.p
% 90.88/13.99
% 90.88/13.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 90.88/13.99
% 90.88/13.99 % ------ iProver source info
% 90.88/13.99
% 90.88/13.99 % git: date: 2026-07-19 20:42:38 +0200
% 90.88/13.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 90.88/13.99 % git: non_committed_changes: false
% 90.88/13.99
% 90.88/13.99 % ------ Parsing...
% 90.88/13.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 90.88/13.99
% 90.88/13.99 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 90.88/13.99
% 90.88/13.99 % ------ Preprocessing...%
% 90.88/13.99
% 90.88/13.99 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 90.88/13.99 % ------ Proving...
% 90.88/13.99 % ------ Problem Properties
% 90.88/13.99
% 90.88/13.99 %
% 90.88/13.99 % clauses 120
% 90.88/13.99 % conjectures 8
% 90.88/13.99 % EPR 83
% 90.88/13.99 % Horn 110
% 90.88/13.99 % unary 8
% 90.88/13.99 % binary 37
% 90.88/13.99 % lits 336
% 90.88/13.99 % lits eq 4
% 90.88/13.99 % fd_pure 0
% 90.88/13.99 % fd_pseudo 0
% 90.88/13.99 % fd_cond 0
% 90.88/13.99 % fd_pseudo_cond 4
% 90.88/13.99 % AC symbols 0
% 90.88/13.99
% 90.88/13.99 % ------ Input Options Time Limit: Unbounded
% 90.88/13.99
% 90.88/13.99
% 90.88/13.99 % ------
% 90.88/13.99 % Current options:
% 90.88/13.99 % ------
% 90.88/13.99
% 90.88/13.99
% 90.88/13.99 %
% 90.88/13.99
% 90.88/13.99 % ------ Proving...
% 90.88/13.99 %
% 90.88/13.99
% 90.88/13.99 % SZS status Theorem for theBenchmark.p
% 90.88/13.99
% 90.88/13.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 90.88/14.02
%------------------------------------------------------------------------------