%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO633+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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:42 PM UTC 2026
% Result : Theorem 90.28s 14.36s
% Output : CNFRefutation 54.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 40
% Syntax : Number of formulae : 625 ( 144 unt; 0 def)
% Number of atoms : 1418 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1488 ( 695 ~; 688 |; 64 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-7 aty)
% Number of variables : 1246 ( 0 sgn1227 !; 19 ?; 483 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(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(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX7) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X0,X3)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1) )
=> perp(X6,X7,X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110996) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X0,X3)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1) )
=> perp(X6,X7,X0,X4) ),
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(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
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(f110,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(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f122,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(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(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
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(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
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(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f157]) ).
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(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
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(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f191]) ).
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(f201,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f210,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(f211,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,[],[f210]) ).
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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X0,X3)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1)
& ~ perp(X6,X7,X0,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& coll(X5,X0,X3)
& coll(X4,X1,X2)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& midp(X3,X2,X1)
& ~ perp(X6,X7,X0,X4) ),
inference(flattening,[],[f249]) ).
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(f270,plain,
( coll(sK27,sK20,sK22)
& perp(sK27,sK25,sK20,sK22)
& coll(sK26,sK20,sK21)
& perp(sK26,sK25,sK20,sK21)
& coll(sK25,sK20,sK23)
& coll(sK24,sK21,sK22)
& eqangle(sK24,sK20,sK20,sK21,sK22,sK20,sK20,sK23)
& midp(sK23,sK22,sK21)
& ~ perp(sK26,sK27,sK20,sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[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(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
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(f280,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,[],[f111]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f288,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,[],[f122]) ).
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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
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(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
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(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
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(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
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(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
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(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f345,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,[],[f211]) ).
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(f384,plain,
coll(sK27,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK27,sK25,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
eqangle(sK24,sK20,sK20,sK21,sK22,sK20,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
midp(sK23,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ perp(sK26,sK27,sK20,sK24),
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_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
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_58,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,[],[f280]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
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_66,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,[],[f288]) ).
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_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
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_89,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,[],[f311]) ).
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_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
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_102,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,[],[f324]) ).
tcf(c_104,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,[],[f326]) ).
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_112,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,[],[f334]) ).
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_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_123,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,[],[f345]) ).
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_162,negated_conjecture,
~ perp(sK26,sK27,sK20,sK24),
inference(cnf_transformation,[],[f392]) ).
tcf(c_163,negated_conjecture,
midp(sK23,sK22,sK21),
inference(cnf_transformation,[],[f391]) ).
tcf(c_164,negated_conjecture,
eqangle(sK24,sK20,sK20,sK21,sK22,sK20,sK20,sK23),
inference(cnf_transformation,[],[f390]) ).
tcf(c_165,negated_conjecture,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f389]) ).
tcf(c_166,negated_conjecture,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f388]) ).
tcf(c_167,negated_conjecture,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f387]) ).
tcf(c_168,negated_conjecture,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f386]) ).
tcf(c_169,negated_conjecture,
perp(sK27,sK25,sK20,sK22),
inference(cnf_transformation,[],[f385]) ).
tcf(c_170,negated_conjecture,
coll(sK27,sK20,sK22),
inference(cnf_transformation,[],[f384]) ).
tcf(c_176,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_185,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_5825,plain,
( coll(sK26,sK21,sK20)
| ~ coll(sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_5826,plain,
( coll(sK27,sK22,sK20)
| ~ coll(sK27,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_5828,plain,
( coll(sK20,sK25,sK23)
| ~ coll(sK25,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_5829,plain,
( coll(sK20,sK26,sK21)
| ~ coll(sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_5830,plain,
( coll(sK20,sK27,sK22)
| ~ coll(sK27,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_5831,plain,
( midp(sK23,sK21,sK22)
| ~ midp(sK23,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_5833,plain,
( cong(sK23,sK22,sK23,sK21)
| ~ midp(sK23,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_5836,plain,
( perp(sK20,sK21,sK26,sK25)
| ~ perp(sK26,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_5837,plain,
( perp(sK20,sK22,sK27,sK25)
| ~ perp(sK27,sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_5846,plain,
! [X0: $i,X1: $i] :
( para(X0,sK23,X1,sK21)
| ~ midp(sK23,sK22,sK21)
| ~ midp(X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_5848,plain,
! [X0: $i,X1: $i] :
( para(X0,sK22,X1,sK21)
| ~ midp(sK23,sK22,sK21)
| ~ midp(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_5854,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK21)
| ~ perp(sK26,sK25,sK20,sK21)
| ~ perp(X0,X1,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_5856,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK22)
| ~ perp(sK27,sK25,sK20,sK22)
| ~ perp(X0,X1,sK27,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_5884,plain,
( eqangle(sK20,sK24,sK20,sK21,sK22,sK20,sK20,sK23)
| ~ eqangle(sK24,sK20,sK20,sK21,sK22,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_5895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK6(X1,X2,sK22,sK21,X0,sK23,X3),X1,X3)
| ~ midp(sK23,sK22,sK21)
| ~ coll(sK21,X1,X2)
| ~ coll(sK22,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_5914,plain,
( coll(sK21,sK26,sK20)
| ~ coll(sK26,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_5916,plain,
! [X0: $i] :
( coll(X0,sK20,sK26)
| ~ coll(sK26,sK21,sK20)
| ~ coll(sK26,sK21,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_5917,plain,
( coll(sK20,sK20,sK26)
| ~ coll(sK26,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_5916]) ).
tcf(c_5920,plain,
( coll(sK22,sK27,sK20)
| ~ coll(sK27,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_5926,plain,
coll(sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_165,c_49]) ).
tcf(c_5927,plain,
coll(sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_166,c_49]) ).
tcf(c_5928,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_168,c_49]) ).
tcf(c_5929,plain,
coll(sK27,sK22,sK20),
inference(superposition,[status(thm)],[c_170,c_49]) ).
tcf(c_5938,plain,
! [X0: $i] :
( coll(X0,sK23,sK20)
| ~ coll(sK20,sK25,sK23)
| ~ coll(sK20,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_5939,plain,
( coll(sK20,sK23,sK20)
| ~ coll(sK20,sK25,sK23)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_5938]) ).
tcf(c_5944,plain,
coll(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_165,c_50]) ).
tcf(c_5945,plain,
coll(sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_166,c_50]) ).
tcf(c_5946,plain,
coll(sK20,sK26,sK21),
inference(superposition,[status(thm)],[c_168,c_50]) ).
tcf(c_5947,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_170,c_50]) ).
tcf(c_5950,plain,
! [X0: $i] :
( coll(X0,sK21,sK20)
| ~ coll(sK20,sK26,sK21)
| ~ coll(sK20,sK26,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_5951,plain,
( coll(sK20,sK21,sK20)
| ~ coll(sK20,sK26,sK21)
| ~ coll(sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_5950]) ).
tcf(c_5956,plain,
! [X0: $i] :
( coll(X0,sK22,sK20)
| ~ coll(sK20,sK27,sK22)
| ~ coll(sK20,sK27,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_5957,plain,
( coll(sK20,sK22,sK20)
| ~ coll(sK20,sK27,sK22)
| ~ coll(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_5956]) ).
tcf(c_5962,plain,
midp(sK23,sK21,sK22),
inference(superposition,[status(thm)],[c_163,c_59]) ).
tcf(c_5966,plain,
( cong(sK23,sK21,sK23,sK22)
| ~ midp(sK23,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_5997,plain,
coll(sK22,sK27,sK20),
inference(superposition,[status(thm)],[c_5929,c_50]) ).
tcf(c_6002,plain,
coll(sK20,sK23,sK25),
inference(superposition,[status(thm)],[c_5945,c_49]) ).
tcf(c_6004,plain,
coll(sK20,sK21,sK26),
inference(superposition,[status(thm)],[c_5946,c_49]) ).
tcf(c_6006,plain,
coll(sK20,sK22,sK27),
inference(superposition,[status(thm)],[c_5947,c_49]) ).
tcf(c_6007,plain,
coll(sK23,sK21,sK22),
inference(superposition,[status(thm)],[c_5962,c_118]) ).
tcf(c_6037,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK23,sK21)
| ~ cong(sK23,sK22,sK23,sK21)
| ~ cong(X0,X1,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_6073,plain,
coll(sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_6007,c_50]) ).
tcf(c_6098,plain,
coll(sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_6073,c_49]) ).
tcf(c_6143,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
tcf(c_6163,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6143,c_72]) ).
tcf(c_6171,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK26,sK25)
| ~ perp(sK20,sK21,sK26,sK25)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_6172,plain,
( para(sK20,sK20,sK26,sK25)
| ~ perp(sK20,sK21,sK26,sK25)
| ~ perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6171]) ).
tcf(c_6182,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6163,c_71]) ).
tcf(c_6189,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X1,X0,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6182,c_72]) ).
tcf(c_6198,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
tcf(c_6201,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK20,X0) ),
inference(superposition,[status(thm)],[c_170,c_51]) ).
tcf(c_6202,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK24,sK22,X0) ),
inference(superposition,[status(thm)],[c_5926,c_51]) ).
tcf(c_6203,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_5927,c_51]) ).
tcf(c_6204,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK21,X0) ),
inference(superposition,[status(thm)],[c_5928,c_51]) ).
tcf(c_6205,plain,
! [X0: $i] :
( coll(sK20,X0,sK27)
| ~ coll(sK27,sK22,X0) ),
inference(superposition,[status(thm)],[c_5929,c_51]) ).
tcf(c_6206,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK24,X0) ),
inference(superposition,[status(thm)],[c_5944,c_51]) ).
tcf(c_6207,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_5945,c_51]) ).
tcf(c_6208,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_5946,c_51]) ).
tcf(c_6209,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK27,X0) ),
inference(superposition,[status(thm)],[c_5947,c_51]) ).
tcf(c_6211,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ coll(sK20,sK23,X0) ),
inference(superposition,[status(thm)],[c_6002,c_51]) ).
tcf(c_6212,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_6004,c_51]) ).
tcf(c_6213,plain,
! [X0: $i] :
( coll(sK27,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_6006,c_51]) ).
tcf(c_6217,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK27,X0) ),
inference(superposition,[status(thm)],[c_5997,c_51]) ).
tcf(c_6227,plain,
! [X0: $i] :
( coll(sK23,X0,sK21)
| ~ coll(sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_6098,c_51]) ).
tcf(c_6235,plain,
( coll(sK20,sK20,sK22)
| ~ coll(sK22,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_6217]) ).
tcf(c_6239,plain,
( coll(sK27,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6213]) ).
tcf(c_6240,plain,
( coll(sK26,sK20,sK20)
| ~ coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6212]) ).
tcf(c_6241,plain,
( coll(sK25,sK20,sK20)
| ~ coll(sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_6211]) ).
tcf(c_6245,plain,
( coll(sK23,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6207]) ).
tcf(c_6260,plain,
( eqangle(sK20,sK24,sK22,sK20,sK20,sK21,sK20,sK23)
| ~ eqangle(sK20,sK24,sK20,sK21,sK22,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_6300,plain,
( para(sK23,sK23,sK21,sK21)
| ~ midp(sK23,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_5846]) ).
tcf(c_6301,plain,
( para(sK22,sK22,sK21,sK21)
| ~ midp(sK23,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_5848]) ).
tcf(c_6303,plain,
( para(sK20,sK21,sK20,sK21)
| ~ perp(sK20,sK21,sK26,sK25)
| ~ perp(sK26,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_5854]) ).
tcf(c_6306,plain,
( para(sK20,sK22,sK20,sK22)
| ~ perp(sK20,sK22,sK27,sK25)
| ~ perp(sK27,sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_5856]) ).
tcf(c_6313,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_165,c_6198]) ).
tcf(c_6314,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6313,c_51]) ).
tcf(c_6317,plain,
( coll(sK24,sK20,sK22)
| ~ coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6314]) ).
tcf(c_6379,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_170,c_6201]) ).
tcf(c_6382,plain,
coll(sK22,sK27,sK22),
inference(superposition,[status(thm)],[c_6379,c_49]) ).
tcf(c_6419,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK27,X0) ),
inference(superposition,[status(thm)],[c_6382,c_51]) ).
tcf(c_6422,plain,
( coll(sK22,sK20,sK22)
| ~ coll(sK22,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_6419]) ).
tcf(c_6466,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_5926,c_6202]) ).
tcf(c_6468,plain,
! [X0: $i] :
( coll(sK24,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6466,c_51]) ).
tcf(c_6470,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_6466,c_49]) ).
tcf(c_6479,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_5927,c_6203]) ).
tcf(c_6488,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_6479,c_49]) ).
tcf(c_6500,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_5928,c_6204]) ).
tcf(c_6502,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6500,c_51]) ).
tcf(c_6504,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_6500,c_49]) ).
tcf(c_6515,plain,
coll(sK20,sK20,sK27),
inference(superposition,[status(thm)],[c_5929,c_6205]) ).
tcf(c_6519,plain,
coll(sK20,sK27,sK20),
inference(superposition,[status(thm)],[c_6515,c_49]) ).
tcf(c_6527,plain,
! [X0: $i,X1: $i] :
( perp(sK23,sK23,X0,X1)
| ~ para(sK23,sK23,sK21,sK21)
| ~ perp(sK21,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_6529,plain,
( perp(sK23,sK23,sK20,sK20)
| ~ perp(sK21,sK21,sK20,sK20)
| ~ para(sK23,sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_6527]) ).
tcf(c_6551,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,X2,X0)
| ~ cyclic(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
tcf(c_6556,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK21,X1)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_163,c_93]) ).
tcf(c_6564,plain,
! [X0: $i] :
( coll(sK21,X0,sK21)
| ~ coll(sK21,sK24,X0) ),
inference(superposition,[status(thm)],[c_6470,c_51]) ).
tcf(c_6568,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_6488,c_51]) ).
tcf(c_6571,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6568]) ).
tcf(c_6585,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK21)
| ~ para(sK22,sK22,sK21,sK21)
| ~ para(X0,X1,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_6586,plain,
( para(sK20,sK20,sK21,sK21)
| ~ para(sK22,sK22,sK21,sK21)
| ~ para(sK20,sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_6585]) ).
tcf(c_6598,plain,
coll(sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_166,c_49]) ).
tcf(c_6600,plain,
coll(sK27,sK22,sK20),
inference(superposition,[status(thm)],[c_170,c_49]) ).
tcf(c_6603,plain,
coll(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_165,c_50]) ).
tcf(c_6604,plain,
coll(sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_166,c_50]) ).
tcf(c_6605,plain,
coll(sK20,sK26,sK21),
inference(superposition,[status(thm)],[c_168,c_50]) ).
tcf(c_6606,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_170,c_50]) ).
tcf(c_6613,plain,
coll(sK26,sK20,sK20),
inference(superposition,[status(thm)],[c_6504,c_50]) ).
tcf(c_6627,plain,
coll(sK22,sK27,sK20),
inference(superposition,[status(thm)],[c_6600,c_50]) ).
tcf(c_6645,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_6603,c_6206]) ).
tcf(c_6651,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6605,c_6208]) ).
tcf(c_6658,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6606,c_6209]) ).
tcf(c_6665,plain,
! [X0: $i,X1: $i] :
( para(sK21,X1,sK23,X0)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_6556,c_53]) ).
tcf(c_6680,plain,
perp(sK27,sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_169,c_55]) ).
tcf(c_6683,plain,
perp(sK20,sK21,sK26,sK25),
inference(superposition,[status(thm)],[c_167,c_56]) ).
tcf(c_6684,plain,
perp(sK20,sK22,sK27,sK25),
inference(superposition,[status(thm)],[c_169,c_56]) ).
tcf(c_6737,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_6627,c_6217]) ).
tcf(c_6746,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_6658,c_49]) ).
tcf(c_6761,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK20,X0) ),
inference(superposition,[status(thm)],[c_170,c_51]) ).
tcf(c_6763,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_6598,c_51]) ).
tcf(c_6784,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6658,c_51]) ).
tcf(c_6869,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_170,c_6761]) ).
tcf(c_6872,plain,
coll(sK22,sK27,sK22),
inference(superposition,[status(thm)],[c_6869,c_49]) ).
tcf(c_6956,plain,
coll(sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_6872,c_6217]) ).
tcf(c_6991,plain,
coll(sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_6658,c_6314]) ).
tcf(c_7087,plain,
midp(sK23,sK21,sK22),
inference(resolution,[status(thm)],[c_59,c_163]) ).
tcf(c_7129,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK21,X1)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_163,c_112]) ).
tcf(c_7201,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,X1,sK21)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_7129,c_52]) ).
tcf(c_7202,plain,
( para(sK22,sK20,sK20,sK21)
| ~ midp(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7201]) ).
tcf(c_7221,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_6598,c_6763]) ).
tcf(c_7280,plain,
( cong(sK26,sK20,sK26,sK21)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_167,c_104]) ).
tcf(c_7281,plain,
( cong(sK27,sK20,sK27,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_169,c_104]) ).
tcf(c_7332,plain,
perp(sK27,sK25,sK22,sK20),
inference(resolution,[status(thm)],[c_55,c_169]) ).
tcf(c_7337,plain,
perp(sK20,sK21,sK26,sK25),
inference(resolution,[status(thm)],[c_56,c_167]) ).
tcf(c_7338,plain,
perp(sK20,sK22,sK27,sK25),
inference(resolution,[status(thm)],[c_56,c_169]) ).
tcf(c_7342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK23,X3,X1,X2)
| ~ midp(X3,sK22,X0)
| ~ para(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6556,c_54]) ).
tcf(c_7370,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_57]) ).
tcf(c_7373,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK25,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_6680,c_57]) ).
tcf(c_7374,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK26,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_6683,c_57]) ).
tcf(c_7375,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK27,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_6684,c_57]) ).
tcf(c_7389,plain,
( para(sK26,sK25,sK20,sK20)
| ~ perp(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7370]) ).
tcf(c_7471,plain,
coll(sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_6651,c_6468]) ).
tcf(c_7500,plain,
( cong(sK26,sK21,sK26,sK20)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7280,c_72]) ).
tcf(c_7613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK22,X3,X1,X2)
| ~ midp(sK23,X3,X0)
| ~ perp(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7129,c_58]) ).
tcf(c_7648,plain,
! [X0: $i] :
( circle(sK26,sK20,X0,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ cong(sK26,sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_7280,c_60]) ).
tcf(c_7649,plain,
! [X0: $i] :
( circle(sK27,sK20,X0,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ cong(sK27,sK20,sK27,X0) ),
inference(superposition,[status(thm)],[c_7281,c_60]) ).
tcf(c_7681,plain,
! [X0: $i,X1: $i] :
( cong(sK26,sK20,X0,X1)
| ~ midp(sK25,sK20,sK21)
| ~ cong(sK26,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7280,c_73]) ).
tcf(c_7699,plain,
coll(sK26,sK25,sK20),
inference(superposition,[status(thm)],[c_7221,c_6502]) ).
tcf(c_7700,plain,
( perp(sK20,sK24,sK22,sK20)
| ~ perp(sK20,sK21,sK20,sK23)
| ~ eqangle(sK20,sK24,sK22,sK20,sK20,sK21,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_7714,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_6603,c_6564]) ).
tcf(c_7789,plain,
coll(sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_6604,c_6568]) ).
tcf(c_7793,plain,
coll(sK23,sK21,sK21),
inference(superposition,[status(thm)],[c_7714,c_6227]) ).
tcf(c_7805,plain,
coll(sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_7789,c_50]) ).
tcf(c_7841,plain,
! [X0: $i,X1: $i] :
( para(sK21,X1,X0,sK23)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_6665,c_52]) ).
tcf(c_7860,plain,
! [X0: $i] :
( midp(sK6(sK22,sK21,sK22,sK21,sK23,sK23,X0),sK22,X0)
| ~ midp(sK23,sK22,sK21)
| ~ coll(sK21,sK22,sK21)
| ~ coll(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_5895]) ).
tcf(c_7861,plain,
( midp(sK6(sK22,sK21,sK22,sK21,sK23,sK23,sK20),sK22,sK20)
| ~ midp(sK23,sK22,sK21)
| ~ coll(sK21,sK22,sK21)
| ~ coll(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_7860]) ).
tcf(c_7922,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,X1)
| ~ midp(X1,X0,X0)
| ~ coll(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_6189,c_116]) ).
tcf(c_8033,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_8034,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_8033]) ).
tcf(c_8069,plain,
! [X0: $i] :
( midp(sK22,X0,sK22)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK22,X0,sK22)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_8074,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK22,sK20,sK22)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8069]) ).
tcf(c_8079,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_8080,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8079]) ).
tcf(c_8371,plain,
! [X0: $i] :
( coll(sK24,sK22,X0)
| ~ coll(sK24,X0,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_8372,plain,
( coll(sK24,sK22,sK20)
| ~ coll(sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8371]) ).
tcf(c_8486,plain,
( cong(sK23,sK21,sK23,sK21)
| ~ cong(sK23,sK21,sK23,sK22)
| ~ cong(sK23,sK22,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_6037]) ).
tcf(c_8611,plain,
perp(sK27,sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_169,c_55]) ).
tcf(c_8614,plain,
perp(sK20,sK21,sK26,sK25),
inference(superposition,[status(thm)],[c_167,c_56]) ).
tcf(c_8985,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_57]) ).
tcf(c_9048,plain,
para(sK26,sK25,sK26,sK25),
inference(superposition,[status(thm)],[c_8614,c_8985]) ).
tcf(c_9197,plain,
! [X0: $i,X1: $i] :
( para(X0,sK23,X1,sK21)
| ~ midp(X0,sK22,X1) ),
inference(resolution,[status(thm)],[c_93,c_163]) ).
tcf(c_9238,plain,
! [X0: $i,X1: $i] :
( para(X0,sK21,X1,sK22)
| ~ midp(sK23,X0,X1) ),
inference(resolution,[status(thm)],[c_112,c_7087]) ).
tcf(c_9436,plain,
eqangle(sK20,sK21,sK24,sK20,sK20,sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_164,c_67]) ).
tcf(c_9609,plain,
eqangle(sK20,sK21,sK20,sK23,sK24,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_9436,c_69]) ).
tcf(c_9951,plain,
! [X0: $i,X1: $i] :
( para(X1,sK21,X0,sK23)
| ~ midp(X0,sK22,X1) ),
inference(resolution,[status(thm)],[c_53,c_9197]) ).
tcf(c_9952,plain,
( para(sK20,sK21,sK20,sK23)
| ~ midp(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_9951]) ).
tcf(c_9987,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
tcf(c_9991,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9987]) ).
tcf(c_10087,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_8611,c_7375]) ).
tcf(c_10104,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_10087,c_58]) ).
tcf(c_10158,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,sK22,X2,X0)
| ~ midp(sK6(sK22,sK21,sK22,sK21,sK23,sK23,X0),sK22,X0)
| ~ midp(sK6(sK22,sK21,sK22,sK21,sK23,sK23,X0),X1,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_10870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,sK22)
| ~ midp(sK23,X2,X3)
| ~ para(X0,X1,X2,sK21) ),
inference(resolution,[status(thm)],[c_54,c_9238]) ).
tcf(c_10871,plain,
( para(sK20,sK20,sK20,sK22)
| ~ midp(sK23,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_10870]) ).
tcf(c_11235,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ para(X0,X1,sK26,sK25) ),
inference(resolution,[status(thm)],[c_58,c_167]) ).
tcf(c_11241,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK22,sK20)
| ~ para(X0,X1,sK27,sK25) ),
inference(resolution,[status(thm)],[c_58,c_7332]) ).
tcf(c_11242,plain,
( perp(sK20,sK20,sK22,sK20)
| ~ para(sK20,sK20,sK27,sK25) ),
inference(instantiation,[status(thm)],[c_11241]) ).
tcf(c_11243,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK26,sK25)
| ~ para(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_58,c_7337]) ).
tcf(c_11245,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK27,sK25)
| ~ para(X0,X1,sK20,sK22) ),
inference(resolution,[status(thm)],[c_58,c_7338]) ).
tcf(c_11426,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ midp(X0,sK26,sK26)
| ~ para(sK26,sK25,sK26,sK25) ),
inference(superposition,[status(thm)],[c_9048,c_113]) ).
tcf(c_11437,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ midp(X0,sK26,sK26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11426,c_9048]) ).
tcf(c_11442,plain,
( midp(sK20,sK25,sK25)
| ~ midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_11437]) ).
tcf(c_11965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK20,sK21)
| ~ para(X2,X3,sK26,sK25)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_11235,c_57]) ).
tcf(c_11967,plain,
( para(sK20,sK20,sK20,sK21)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_11965]) ).
tcf(c_12177,plain,
( perp(sK20,sK21,sK20,sK23)
| ~ perp(sK24,sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_9609,c_123]) ).
tcf(c_12424,plain,
! [X0: $i,X1: $i] :
( para(sK21,X1,sK23,X0)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_6556,c_53]) ).
tcf(c_13237,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK23,X2,sK23,X0)
| ~ midp(X2,sK22,X1)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_12424,c_7342]) ).
tcf(c_13499,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7500,c_7681]) ).
tcf(c_13635,plain,
( midp(sK26,sK20,sK20)
| ~ midp(sK25,sK20,sK21)
| ~ coll(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_13499,c_116]) ).
tcf(c_13642,plain,
( midp(sK26,sK20,sK20)
| ~ midp(sK25,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13635,c_6613]) ).
tcf(c_14140,plain,
! [X0: $i,X1: $i] :
( perp(sK26,sK25,X0,X1)
| ~ para(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_11243,c_56]) ).
tcf(c_14143,plain,
( perp(sK26,sK25,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_14140]) ).
tcf(c_14307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK27,sK25)
| ~ para(X2,X3,sK20,sK22)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_11245,c_57]) ).
tcf(c_14309,plain,
( para(sK20,sK20,sK27,sK25)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_14307]) ).
tcf(c_14507,plain,
eqangle(sK20,sK21,sK24,sK20,sK20,sK23,sK22,sK20),
inference(resolution,[status(thm)],[c_67,c_164]) ).
tcf(c_14577,plain,
eqangle(sK22,sK20,sK20,sK23,sK24,sK20,sK20,sK21),
inference(resolution,[status(thm)],[c_68,c_164]) ).
tcf(c_15539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK24,sK20,sK20,sK21,X0,X1,X2,X3)
| ~ eqangle(sK22,sK20,sK20,sK23,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_164,c_70]) ).
tcf(c_15772,plain,
! [X0: $i,X1: $i] :
( eqangle(sK24,sK20,sK20,sK21,X0,X1,sK20,sK23)
| ~ para(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_15539]) ).
tcf(c_15876,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK20,sK20,sK21)
| ~ para(sK22,sK20,X0,X1)
| ~ para(X0,X1,sK20,sK23) ),
inference(superposition,[status(thm)],[c_15772,c_122]) ).
tcf(c_15889,plain,
( para(sK24,sK20,sK20,sK21)
| ~ para(sK22,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_15876]) ).
tcf(c_16185,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK22,X1)
| ~ midp(X0,X1,sK22) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_16186,plain,
( midp(sK20,sK22,sK20)
| ~ midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_16185]) ).
tcf(c_16387,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK22,sK22)
| ~ para(sK22,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_16388,plain,
( para(sK20,sK20,sK22,sK22)
| ~ para(sK22,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16387]) ).
tcf(c_16839,plain,
! [X0: $i] :
( midp(sK22,X0,sK21)
| ~ midp(sK22,sK21,X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_16840,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK22,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_16839]) ).
tcf(c_17108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_88,c_92]) ).
tcf(c_17117,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17108]) ).
tcf(c_18085,plain,
! [X0: $i] :
( para(sK23,X0,sK23,sK23)
| ~ midp(X0,sK22,sK21) ),
inference(superposition,[status(thm)],[c_163,c_13237]) ).
tcf(c_18123,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK23,X2,X0,X1)
| ~ midp(X2,sK22,sK21)
| ~ perp(sK23,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_18085,c_58]) ).
tcf(c_18130,plain,
( perp(sK23,sK20,sK20,sK20)
| ~ midp(sK20,sK22,sK21)
| ~ perp(sK23,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_18123]) ).
tcf(c_19312,plain,
! [X0: $i] :
( para(sK22,sK22,X0,X0)
| ~ midp(sK6(sK22,sK21,sK22,sK21,sK23,sK23,X0),sK22,X0) ),
inference(instantiation,[status(thm)],[c_10158]) ).
tcf(c_19313,plain,
( para(sK22,sK22,sK20,sK20)
| ~ midp(sK6(sK22,sK21,sK22,sK21,sK23,sK23,sK20),sK22,sK20) ),
inference(instantiation,[status(thm)],[c_19312]) ).
tcf(c_20291,plain,
( perp(sK20,sK21,sK24,sK20)
| ~ perp(sK20,sK23,sK22,sK20) ),
inference(resolution,[status(thm)],[c_123,c_14507]) ).
tcf(c_20292,plain,
( perp(sK22,sK20,sK20,sK23)
| ~ perp(sK24,sK20,sK20,sK21) ),
inference(resolution,[status(thm)],[c_123,c_14577]) ).
tcf(c_20834,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK24,sK20)
| ~ perp(sK20,sK23,sK22,sK20)
| ~ para(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_20291,c_58]) ).
tcf(c_20835,plain,
( perp(sK20,sK20,sK24,sK20)
| ~ perp(sK20,sK23,sK22,sK20)
| ~ para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_20834]) ).
tcf(c_20844,plain,
( perp(sK26,sK27,sK20,sK24)
| ~ perp(sK26,sK27,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_20944,plain,
( perp(sK20,sK23,sK22,sK20)
| ~ perp(sK24,sK20,sK20,sK21) ),
inference(resolution,[status(thm)],[c_20292,c_56]) ).
tcf(c_21660,plain,
coll(sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_165,c_49]) ).
tcf(c_21666,plain,
coll(sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_165,c_50]) ).
tcf(c_21672,plain,
midp(sK23,sK21,sK22),
inference(superposition,[status(thm)],[c_163,c_59]) ).
tcf(c_21735,plain,
perp(sK26,sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_167,c_55]) ).
tcf(c_21736,plain,
perp(sK27,sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_169,c_55]) ).
tcf(c_21739,plain,
perp(sK20,sK21,sK26,sK25),
inference(superposition,[status(thm)],[c_167,c_56]) ).
tcf(c_21753,plain,
perp(sK21,sK20,sK26,sK25),
inference(superposition,[status(thm)],[c_21735,c_56]) ).
tcf(c_21782,plain,
! [X0: $i] :
( coll(sK21,X0,sK26)
| ~ coll(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_168,c_51]) ).
tcf(c_21784,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK24,sK22,X0) ),
inference(superposition,[status(thm)],[c_21660,c_51]) ).
tcf(c_21891,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK21,X1)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_163,c_112]) ).
tcf(c_21909,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_21735,c_7374]) ).
tcf(c_21921,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_21909,c_53]) ).
tcf(c_21925,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_21666,c_6206]) ).
tcf(c_21948,plain,
( cong(sK26,sK20,sK26,sK21)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_167,c_104]) ).
tcf(c_21949,plain,
( cong(sK27,sK20,sK27,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_169,c_104]) ).
tcf(c_21978,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_169,c_7375]) ).
tcf(c_21979,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_21736,c_7375]) ).
tcf(c_21995,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_21979,c_53]) ).
tcf(c_22016,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_57]) ).
tcf(c_22017,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK25,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_169,c_57]) ).
tcf(c_22441,plain,
! [X0: $i] :
( midp(sK22,X0,sK22)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_21978,c_94]) ).
tcf(c_22442,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK23,X1,sK21)
| ~ midp(X0,sK22,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6556,c_94]) ).
tcf(c_22446,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK22,X1,sK21)
| ~ midp(sK23,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_21891,c_94]) ).
tcf(c_22598,plain,
! [X0: $i] :
( perp(sK22,X0,sK26,sK25)
| ~ midp(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_21753,c_7613]) ).
tcf(c_22602,plain,
! [X0: $i] :
( circle(sK26,sK20,X0,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_117,c_7648]) ).
tcf(c_22603,plain,
( circle(sK26,sK20,sK21,sK21)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_21948,c_7648]) ).
tcf(c_22606,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ coll(sK26,sK20,sK21) ),
inference(superposition,[status(thm)],[c_22603,c_102]) ).
tcf(c_22607,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK25,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22606,c_168]) ).
tcf(c_22612,plain,
( perp(sK21,sK21,sK20,sK21)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_22607,c_56]) ).
tcf(c_22622,plain,
! [X0: $i] :
( perp(sK22,X0,sK20,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK23,X0,sK21) ),
inference(superposition,[status(thm)],[c_22612,c_7613]) ).
tcf(c_22697,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ coll(sK26,sK20,sK21)
| ~ midp(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_22602,c_102]) ).
tcf(c_22698,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK26,sK20,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22697,c_168]) ).
tcf(c_22703,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK20,X0,X1,X2)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK26,sK20,X0)
| ~ perp(X0,sK21,X1,X2) ),
inference(superposition,[status(thm)],[c_22698,c_57]) ).
tcf(c_22705,plain,
! [X0: $i] :
( perp(X0,sK21,sK20,X0)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_22698,c_56]) ).
tcf(c_22745,plain,
( para(sK26,sK25,sK20,sK20)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_22705,c_22016]) ).
tcf(c_22779,plain,
( para(sK26,sK25,sK20,sK20)
| ~ midp(sK25,sK20,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_22745,c_13642,c_22745]) ).
tcf(c_22783,plain,
! [X0: $i] :
( midp(sK25,X0,sK20)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK26,X0,sK20)
| ~ coll(sK25,X0,sK20) ),
inference(superposition,[status(thm)],[c_22779,c_94]) ).
tcf(c_22789,plain,
( midp(sK25,sK20,sK20)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK26,sK20,sK20)
| ~ coll(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_22783]) ).
tcf(c_22891,plain,
! [X0: $i] :
( circle(sK27,sK20,X0,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK27,sK20,X0) ),
inference(superposition,[status(thm)],[c_117,c_7649]) ).
tcf(c_22893,plain,
( circle(sK27,sK20,sK22,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_21949,c_7649]) ).
tcf(c_22896,plain,
( perp(sK20,sK22,sK22,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ coll(sK27,sK20,sK22) ),
inference(superposition,[status(thm)],[c_22893,c_102]) ).
tcf(c_22897,plain,
( perp(sK20,sK22,sK22,sK22)
| ~ midp(sK25,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22896,c_170]) ).
tcf(c_22900,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ midp(sK25,sK20,sK22)
| ~ perp(sK22,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_22897,c_57]) ).
tcf(c_23346,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK22,sK22,sK21)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6956,c_22446]) ).
tcf(c_23468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK24,sK20,sK20,sK21,X0,X1,X2,X3)
| ~ eqangle(sK22,sK20,sK20,sK23,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_164,c_70]) ).
tcf(c_23510,plain,
! [X0: $i,X1: $i] :
( eqangle(sK24,sK20,sK20,sK21,X0,X1,sK20,sK23)
| ~ para(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_23468]) ).
tcf(c_23533,plain,
! [X0: $i,X1: $i] :
( eqangle(sK24,sK20,X0,X1,sK20,sK21,sK20,sK23)
| ~ para(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_23510,c_69]) ).
tcf(c_23986,plain,
( para(sK20,sK20,sK21,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_22607,c_22703]) ).
tcf(c_23993,plain,
para(sK20,sK20,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_23986,c_163,c_6301,c_6586,c_6645,c_7714,c_7861,c_16388,c_19313]) ).
tcf(c_23999,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK20,X0,X1)
| ~ para(sK21,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_23993,c_54]) ).
tcf(c_24000,plain,
para(sK21,sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_23993,c_53]) ).
tcf(c_24002,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK21,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_23999]) ).
tcf(c_24545,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK20,sK20,sK20) ),
inference(superposition,[status(thm)],[c_6746,c_22441]) ).
tcf(c_24552,plain,
midp(sK22,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_24545,c_170,c_169,c_176,c_5826,c_5837,c_5920,c_6306,c_6422,c_6488,c_6571,c_8074,c_9991,c_17117,c_24000,c_24002]) ).
tcf(c_24558,plain,
midp(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_24552,c_59]) ).
tcf(c_24784,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_6991,c_49]) ).
tcf(c_24887,plain,
coll(sK26,sK20,sK25),
inference(superposition,[status(thm)],[c_7699,c_49]) ).
tcf(c_24898,plain,
( midp(sK23,sK20,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK23,sK23,sK20) ),
inference(superposition,[status(thm)],[c_7805,c_22446]) ).
tcf(c_25071,plain,
! [X0: $i] :
( midp(sK20,X0,sK21)
| ~ midp(sK21,X0,sK20)
| ~ coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_21921,c_94]) ).
tcf(c_25212,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK20,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_21995,c_58]) ).
tcf(c_25213,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK20,X0,X1)
| ~ para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_21995,c_54]) ).
tcf(c_25341,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK21,X0,X1)
| ~ perp(sK20,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_24000,c_58]) ).
tcf(c_25349,plain,
( perp(sK21,sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_25341]) ).
tcf(c_26031,plain,
coll(sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_24784,c_21784]) ).
tcf(c_26302,plain,
coll(sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_26031,c_49]) ).
tcf(c_26412,plain,
coll(sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_21925,c_6784]) ).
tcf(c_26536,plain,
( midp(sK20,sK21,sK22)
| ~ midp(sK23,sK21,sK21)
| ~ midp(sK20,sK22,sK22) ),
inference(superposition,[status(thm)],[c_26412,c_22442]) ).
tcf(c_26538,plain,
coll(sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_26412,c_50]) ).
tcf(c_26539,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_26412,c_49]) ).
tcf(c_27592,plain,
coll(sK21,sK25,sK26),
inference(superposition,[status(thm)],[c_24887,c_21782]) ).
tcf(c_27768,plain,
coll(sK21,sK26,sK25),
inference(superposition,[status(thm)],[c_27592,c_49]) ).
tcf(c_27835,plain,
! [X0: $i] :
( coll(sK25,X0,sK21)
| ~ coll(sK21,sK26,X0) ),
inference(superposition,[status(thm)],[c_27768,c_51]) ).
tcf(c_27840,plain,
( coll(sK25,sK20,sK21)
| ~ coll(sK21,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_27835]) ).
tcf(c_30570,plain,
coll(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_26302,c_6206]) ).
tcf(c_30607,plain,
( midp(sK21,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK23,sK21,sK22) ),
inference(superposition,[status(thm)],[c_26538,c_22446]) ).
tcf(c_30613,plain,
( midp(sK21,sK20,sK22)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30607,c_21672]) ).
tcf(c_30635,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_30570,c_49]) ).
tcf(c_30680,plain,
! [X0: $i] :
( midp(X0,sK22,sK21)
| ~ midp(X0,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_16185]) ).
tcf(c_30681,plain,
( midp(sK20,sK22,sK21)
| ~ midp(sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_30680]) ).
tcf(c_30682,plain,
! [X0: $i] :
( midp(sK21,sK22,X0)
| ~ midp(sK21,X0,sK22) ),
inference(instantiation,[status(thm)],[c_16185]) ).
tcf(c_30683,plain,
( midp(sK21,sK22,sK20)
| ~ midp(sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_30682]) ).
tcf(c_31728,plain,
! [X0: $i,X1: $i] :
( midp(sK23,X0,X1)
| ~ coll(sK23,X0,X1)
| ~ cong(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_31729,plain,
( midp(sK23,sK20,sK20)
| ~ coll(sK23,sK20,sK20)
| ~ cong(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_31728]) ).
tcf(c_32578,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK20,sK20,sK21)
| ~ perp(X0,X1,sK20,sK21)
| ~ para(sK24,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_32579,plain,
( perp(sK24,sK20,sK20,sK21)
| ~ perp(sK20,sK20,sK20,sK21)
| ~ para(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32578]) ).
tcf(c_32606,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK20,sK22,sK20)
| ~ perp(X0,X1,sK22,sK20)
| ~ para(sK24,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_32607,plain,
( perp(sK24,sK20,sK22,sK20)
| ~ perp(sK20,sK20,sK22,sK20)
| ~ para(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32606]) ).
tcf(c_32640,plain,
! [X0: $i,X1: $i] :
( perp(sK26,sK27,sK24,sK20)
| ~ perp(X0,X1,sK24,sK20)
| ~ para(sK26,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_32641,plain,
( perp(sK26,sK27,sK24,sK20)
| ~ perp(sK20,sK20,sK24,sK20)
| ~ para(sK26,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32640]) ).
tcf(c_32771,plain,
( para(sK27,sK25,sK26,sK25)
| ~ midp(sK23,sK20,sK20) ),
inference(superposition,[status(thm)],[c_22598,c_7373]) ).
tcf(c_32934,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK25,X0,X1)
| ~ midp(sK23,sK20,sK20)
| ~ para(sK26,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_32771,c_54]) ).
tcf(c_32937,plain,
( para(sK27,sK25,sK20,sK20)
| ~ midp(sK23,sK20,sK20)
| ~ para(sK26,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32934]) ).
tcf(c_33521,plain,
! [X0: $i,X1: $i] :
( perp(X0,sK21,X0,X1)
| ~ perp(X0,X1,X0,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_33522,plain,
( perp(sK20,sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_33521]) ).
tcf(c_33724,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK23,X1,sK23,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK23,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_33725,plain,
( cong(sK23,sK20,sK23,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_33724]) ).
tcf(c_34038,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X0,sK21)
| ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_34039,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ cong(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_34038]) ).
tcf(c_34120,plain,
midp(sK20,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_23346,c_169,c_176,c_5837,c_6306,c_6488,c_6571,c_8080,c_9991,c_17117,c_24000,c_24002]) ).
tcf(c_34124,plain,
( midp(sK20,sK21,sK22)
| ~ midp(sK23,sK21,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_26536,c_34120]) ).
tcf(c_34191,plain,
! [X0: $i] :
( para(sK20,sK20,X0,sK23)
| ~ midp(X0,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7841,c_23999]) ).
tcf(c_34201,plain,
( para(sK20,sK20,sK20,sK23)
| ~ midp(sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_34191]) ).
tcf(c_34204,plain,
( midp(sK22,sK21,sK20)
| ~ midp(sK22,sK22,sK20)
| ~ midp(sK23,sK21,sK21) ),
inference(superposition,[status(thm)],[c_30635,c_22442]) ).
tcf(c_34208,plain,
( midp(sK22,sK21,sK20)
| ~ midp(sK23,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34204,c_24558]) ).
tcf(c_35983,plain,
( midp(sK20,sK22,sK21)
| ~ midp(sK21,sK22,sK20) ),
inference(superposition,[status(thm)],[c_26539,c_25071]) ).
tcf(c_36134,plain,
( midp(sK23,sK20,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_24898,c_163,c_176,c_185,c_6245,c_6300,c_6488,c_6529,c_6571,c_9991,c_17117,c_18130,c_24000,c_24002,c_25349,c_30613,c_30683,c_31729,c_33725,c_35983]) ).
tcf(c_36330,plain,
( para(sK20,sK22,sK20,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK23,sK22,sK21) ),
inference(superposition,[status(thm)],[c_22622,c_22900]) ).
tcf(c_36334,plain,
( para(sK20,sK22,sK20,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK25,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36330,c_163]) ).
tcf(c_36402,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,X0,X1)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK25,sK20,sK22)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_36334,c_58]) ).
tcf(c_36407,plain,
( para(sK22,sK20,sK20,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_36334,c_25213]) ).
tcf(c_36492,plain,
( midp(sK23,sK21,sK21)
| ~ coll(sK23,sK21,sK21)
| ~ cong(sK23,sK21,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_31728]) ).
tcf(c_36543,plain,
para(sK22,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_36407,c_163,c_5831,c_5833,c_5966,c_7202,c_7793,c_8486,c_16840,c_34208,c_36134,c_36492]) ).
tcf(c_36551,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK20,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_36543,c_58]) ).
tcf(c_36575,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_36402,c_10104,c_36551]) ).
tcf(c_36580,plain,
perp(sK20,sK22,sK26,sK25),
inference(superposition,[status(thm)],[c_21739,c_36575]) ).
tcf(c_36605,plain,
perp(sK22,sK20,sK26,sK25),
inference(superposition,[status(thm)],[c_36580,c_25212]) ).
tcf(c_37218,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK20,X0,X1)
| ~ perp(sK26,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_36605,c_57]) ).
tcf(c_37224,plain,
( para(sK22,sK20,sK20,sK20)
| ~ perp(sK26,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_37218]) ).
tcf(c_37239,plain,
! [X0: $i] :
( cong(X0,sK21,X0,sK21)
| ~ midp(X0,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_37240,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_37239]) ).
tcf(c_37374,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ coll(sK27,sK20,sK22)
| ~ midp(sK27,sK20,X0) ),
inference(superposition,[status(thm)],[c_22891,c_102]) ).
tcf(c_37375,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK22)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK27,sK20,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37374,c_170]) ).
tcf(c_37382,plain,
! [X0: $i] :
( perp(X0,sK22,sK20,X0)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK27,sK20,X0) ),
inference(superposition,[status(thm)],[c_37375,c_56]) ).
tcf(c_37462,plain,
( para(sK27,sK25,sK20,sK20)
| ~ midp(sK25,sK20,sK22)
| ~ midp(sK27,sK20,sK20) ),
inference(superposition,[status(thm)],[c_37382,c_22017]) ).
tcf(c_37679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK22)
| ~ coll(X1,X3,sK22)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK22) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_37680,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK22)
| ~ para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_37679]) ).
tcf(c_37765,plain,
para(sK27,sK25,sK20,sK20),
inference(global_subsumption_just,[status(thm)],[c_37462,c_163,c_167,c_176,c_5831,c_5833,c_5836,c_5966,c_6303,c_6488,c_6571,c_7389,c_7793,c_8034,c_8486,c_9991,c_16840,c_17117,c_24000,c_24002,c_32937,c_33522,c_34039,c_34208,c_36134,c_36492,c_37240]) ).
tcf(c_37771,plain,
para(sK20,sK20,sK27,sK25),
inference(superposition,[status(thm)],[c_37765,c_53]) ).
tcf(c_37881,plain,
para(sK20,sK20,sK25,sK27),
inference(superposition,[status(thm)],[c_37771,c_52]) ).
tcf(c_38858,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK26,sK26)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_38859,plain,
( midp(sK20,sK26,sK26)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_38858]) ).
tcf(c_38914,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK20,X0,X1)
| ~ para(sK20,sK21,sK20,sK23)
| ~ para(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_23533,c_122]) ).
tcf(c_38928,plain,
( para(sK24,sK20,sK20,sK20)
| ~ para(sK22,sK20,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_38914]) ).
tcf(c_40036,plain,
para(sK25,sK27,sK20,sK20),
inference(superposition,[status(thm)],[c_37881,c_53]) ).
tcf(c_40282,plain,
! [X0: $i] :
( midp(sK27,X0,sK20)
| ~ midp(sK25,X0,sK20)
| ~ coll(sK27,X0,sK20) ),
inference(superposition,[status(thm)],[c_40036,c_94]) ).
tcf(c_40289,plain,
( midp(sK27,sK20,sK20)
| ~ midp(sK25,sK20,sK20)
| ~ coll(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40282]) ).
tcf(c_40366,plain,
coll(sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_166,c_49]) ).
tcf(c_40444,plain,
perp(sK20,sK21,sK26,sK25),
inference(superposition,[status(thm)],[c_167,c_56]) ).
tcf(c_40463,plain,
perp(sK20,sK21,sK25,sK26),
inference(superposition,[status(thm)],[c_40444,c_55]) ).
tcf(c_40485,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
tcf(c_40490,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_40366,c_51]) ).
tcf(c_40657,plain,
( cong(sK26,sK20,sK26,sK21)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_167,c_104]) ).
tcf(c_40720,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_57]) ).
tcf(c_40865,plain,
eqangle(sK20,sK24,sK20,sK21,sK22,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_164,c_66]) ).
tcf(c_40912,plain,
eqangle(sK20,sK24,sK22,sK20,sK20,sK21,sK20,sK23),
inference(superposition,[status(thm)],[c_40865,c_69]) ).
tcf(c_40937,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_40366,c_40490]) ).
tcf(c_41450,plain,
( circle(sK26,sK20,sK21,sK21)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_40657,c_7648]) ).
tcf(c_41453,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ coll(sK26,sK20,sK21) ),
inference(superposition,[status(thm)],[c_41450,c_102]) ).
tcf(c_41454,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK25,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41453,c_168]) ).
tcf(c_41503,plain,
( para(sK24,sK20,sK20,sK21)
| ~ para(sK22,sK20,sK20,sK23) ),
inference(superposition,[status(thm)],[c_164,c_122]) ).
tcf(c_41524,plain,
( perp(sK24,sK20,sK20,sK21)
| ~ perp(sK22,sK20,sK20,sK23) ),
inference(superposition,[status(thm)],[c_164,c_123]) ).
tcf(c_41528,plain,
( perp(sK20,sK24,sK22,sK20)
| ~ perp(sK20,sK21,sK20,sK23) ),
inference(superposition,[status(thm)],[c_40912,c_123]) ).
tcf(c_41563,plain,
para(sK24,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_41503,c_163,c_167,c_176,c_185,c_5831,c_5833,c_5836,c_5966,c_6172,c_6303,c_6488,c_6571,c_7793,c_8034,c_8486,c_9991,c_11967,c_14143,c_15889,c_17117,c_24000,c_24002,c_30681,c_34039,c_34124,c_34201,c_36492,c_37224,c_37240]) ).
tcf(c_41570,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK20,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_41563,c_58]) ).
tcf(c_41572,plain,
para(sK20,sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_41563,c_53]) ).
tcf(c_41581,plain,
perp(sK24,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_41524,c_170,c_163,c_167,c_176,c_185,c_5826,c_5831,c_5833,c_5836,c_5920,c_5966,c_6172,c_6235,c_6303,c_6488,c_6571,c_7793,c_8034,c_8486,c_9952,c_9991,c_10871,c_11967,c_14143,c_16186,c_16840,c_17117,c_24000,c_24002,c_32579,c_34039,c_34208,c_36134,c_36492,c_37224,c_37240,c_37680,c_38928]) ).
tcf(c_41586,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK20,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_41581,c_57]) ).
tcf(c_41622,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X0,X1)
| ~ perp(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_41572,c_58]) ).
tcf(c_41885,plain,
( perp(sK24,sK20,sK21,sK21)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_41454,c_41570]) ).
tcf(c_41973,plain,
( perp(sK21,sK21,sK24,sK20)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_41885,c_56]) ).
tcf(c_41987,plain,
para(sK24,sK20,sK25,sK26),
inference(superposition,[status(thm)],[c_40463,c_41586]) ).
tcf(c_42396,plain,
perp(sK20,sK24,sK22,sK20),
inference(global_subsumption_just,[status(thm)],[c_41528,c_170,c_163,c_167,c_164,c_176,c_185,c_5826,c_5831,c_5833,c_5836,c_5884,c_5920,c_5966,c_6172,c_6235,c_6260,c_6303,c_6488,c_6571,c_7700,c_7793,c_8034,c_8486,c_9952,c_9991,c_10871,c_11242,c_11967,c_12177,c_14143,c_14309,c_16186,c_16840,c_17117,c_24000,c_24002,c_32607,c_34039,c_34208,c_36134,c_36492,c_37224,c_37240,c_37680,c_38928]) ).
tcf(c_42400,plain,
perp(sK22,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_42396,c_56]) ).
tcf(c_43979,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6737,c_51]) ).
tcf(c_44142,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_7471,c_49]) ).
tcf(c_44400,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_40937,c_43979]) ).
tcf(c_44427,plain,
coll(sK22,sK20,sK25),
inference(superposition,[status(thm)],[c_44400,c_49]) ).
tcf(c_44906,plain,
para(sK25,sK26,sK24,sK20),
inference(superposition,[status(thm)],[c_41987,c_53]) ).
tcf(c_44962,plain,
coll(sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_44142,c_40485]) ).
tcf(c_45012,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_44962,c_51]) ).
tcf(c_46635,plain,
coll(sK24,sK25,sK22),
inference(superposition,[status(thm)],[c_44427,c_45012]) ).
tcf(c_46682,plain,
coll(sK24,sK22,sK25),
inference(superposition,[status(thm)],[c_46635,c_49]) ).
tcf(c_48596,plain,
! [X0: $i] :
( coll(sK25,X0,sK24)
| ~ coll(sK24,sK22,X0) ),
inference(superposition,[status(thm)],[c_46682,c_51]) ).
tcf(c_48601,plain,
( coll(sK25,sK20,sK24)
| ~ coll(sK24,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_48596]) ).
tcf(c_48828,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK27,X1,sK20)
| ~ midp(sK27,X0,sK20)
| ~ midp(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_48829,plain,
( para(sK26,sK27,sK20,sK20)
| ~ midp(sK27,sK20,sK20)
| ~ midp(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_48828]) ).
tcf(c_49031,plain,
~ midp(sK25,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_41973,c_170,c_166,c_163,c_167,c_162,c_176,c_185,c_5826,c_5828,c_5830,c_5831,c_5833,c_5836,c_5920,c_5939,c_5957,c_5966,c_6172,c_6235,c_6239,c_6241,c_6303,c_6488,c_6519,c_6571,c_7793,c_8034,c_8486,c_9952,c_9991,c_10871,c_11967,c_13642,c_14143,c_16186,c_16840,c_17117,c_20835,c_20844,c_20944,c_22789,c_24000,c_24002,c_32579,c_32641,c_34039,c_34208,c_36134,c_36492,c_37224,c_37240,c_37680,c_38928,c_40289,c_48829]) ).
tcf(c_50511,plain,
perp(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_41581,c_41622]) ).
tcf(c_50525,plain,
para(sK26,sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_50511,c_40720]) ).
tcf(c_50739,plain,
! [X0: $i] :
( midp(sK25,X0,sK21)
| ~ midp(sK26,X0,sK20)
| ~ coll(sK25,X0,sK21) ),
inference(superposition,[status(thm)],[c_50525,c_94]) ).
tcf(c_50746,plain,
( midp(sK25,sK20,sK21)
| ~ midp(sK26,sK20,sK20)
| ~ coll(sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_50739]) ).
tcf(c_53417,plain,
para(sK27,sK25,sK20,sK24),
inference(superposition,[status(thm)],[c_42400,c_7373]) ).
tcf(c_53468,plain,
! [X0: $i] :
( midp(sK25,X0,sK24)
| ~ midp(sK27,X0,sK20)
| ~ coll(sK25,X0,sK24) ),
inference(superposition,[status(thm)],[c_53417,c_94]) ).
tcf(c_53474,plain,
( midp(sK25,sK20,sK24)
| ~ midp(sK27,sK20,sK20)
| ~ coll(sK25,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_53468]) ).
tcf(c_54951,plain,
! [X0: $i] :
( midp(sK26,X0,sK20)
| ~ midp(sK25,X0,sK24)
| ~ coll(sK26,X0,sK20) ),
inference(superposition,[status(thm)],[c_44906,c_94]) ).
tcf(c_54959,plain,
( midp(sK26,sK20,sK20)
| ~ midp(sK25,sK20,sK24)
| ~ coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_54951]) ).
tcf(c_63878,plain,
! [X0: $i] :
( midp(sK25,X0,X0)
| ~ midp(X0,sK25,sK25)
| ~ coll(sK25,X0,X0) ),
inference(instantiation,[status(thm)],[c_7922]) ).
tcf(c_63879,plain,
( midp(sK25,sK20,sK20)
| ~ midp(sK20,sK25,sK25)
| ~ coll(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_63878]) ).
tcf(c_77415,plain,
! [X0: $i] :
( cyclic(sK20,sK26,X0,sK20)
| ~ coll(X0,sK20,sK26)
| ~ eqangle(X0,sK20,X0,sK26,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_77416,plain,
( cyclic(sK20,sK26,sK20,sK20)
| ~ coll(sK20,sK20,sK26)
| ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_77415]) ).
tcf(c_80679,plain,
! [X0: $i,X1: $i] :
( para(X1,sK26,X1,sK26)
| ~ cyclic(sK26,X0,X1,X1) ),
inference(instantiation,[status(thm)],[c_6551]) ).
tcf(c_80681,plain,
( para(sK20,sK26,sK20,sK26)
| ~ cyclic(sK26,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_80679]) ).
tcf(c_99035,plain,
! [X0: $i] :
( cyclic(sK26,sK20,X0,sK20)
| ~ cyclic(sK20,sK26,X0,sK20) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_99036,plain,
( cyclic(sK26,sK20,sK20,sK20)
| ~ cyclic(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_99035]) ).
tcf(c_132065,plain,
( eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_132066,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_132065,c_99036,c_80681,c_77416,c_63879,c_54959,c_53474,c_50746,c_49031,c_48601,c_40289,c_38859,c_27840,c_24002,c_24000,c_17117,c_11442,c_9991,c_8372,c_6658,c_6571,c_6519,c_6504,c_6488,c_6317,c_6241,c_6240,c_6239,c_5957,c_5951,c_5939,c_5917,c_5914,c_5830,c_5829,c_5828,c_5825,c_176,c_166,c_168,c_170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO633+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 : n014.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 12:36:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 90.28/14.36 % SZS status Started for theBenchmark.p
% 90.28/14.36 % SZS status Theorem for theBenchmark.p
% 90.28/14.36
% 90.28/14.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 90.28/14.36
% 90.28/14.36 % ------ iProver source info
% 90.28/14.36
% 90.28/14.36 % git: date: 2026-07-19 20:42:38 +0200
% 90.28/14.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 90.28/14.36 % git: non_committed_changes: false
% 90.28/14.36
% 90.28/14.36 % ------ Parsing...
% 90.28/14.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 90.28/14.36
% 90.28/14.36 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 90.28/14.36
% 90.28/14.36 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 90.28/14.36
% 90.28/14.36 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 90.28/14.36 % ------ Proving...
% 90.28/14.36 % ------ Problem Properties
% 90.28/14.36
% 90.28/14.36 %
% 90.28/14.36 % clauses 121
% 90.28/14.36 % conjectures 9
% 90.28/14.36 % EPR 84
% 90.28/14.36 % Horn 111
% 90.28/14.36 % unary 9
% 90.28/14.36 % binary 37
% 90.28/14.36 % lits 337
% 90.28/14.36 % lits eq 4
% 90.28/14.36 % fd_pure 0
% 90.28/14.36 % fd_pseudo 0
% 90.28/14.36 % fd_cond 0
% 90.28/14.36 % fd_pseudo_cond 4
% 90.28/14.36 % AC symbols 0
% 90.28/14.36
% 90.28/14.36 % ------ Input Options Time Limit: Unbounded
% 90.28/14.36
% 90.28/14.36
% 90.28/14.36 % ------
% 90.28/14.36 % Current options:
% 90.28/14.36 % ------
% 90.28/14.36
% 90.28/14.36
% 90.28/14.36 %
% 90.28/14.36
% 90.28/14.36 % ------ Proving...
% 90.28/14.36 %
% 90.28/14.36
% 90.28/14.36 % SZS status Theorem for theBenchmark.p
% 90.28/14.36
% 90.28/14.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.56/14.40
% 54.56/14.40
%------------------------------------------------------------------------------