%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO636+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 : n007.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 22.32s 4.29s
% Output : CNFRefutation 26.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 40
% Syntax : Number of formulae : 622 ( 155 unt; 0 def)
% Number of atoms : 1393 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1457 ( 686 ~; 680 |; 50 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 1169 ( 0 sgn1155 !; 14 ?; 431 :)
% 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(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(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(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(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f58,axiom,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1) )
=> perp(X0,X4,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110999) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1) )
=> perp(X0,X4,X6,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(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(f115,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f115]) ).
fof(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(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(f161,plain,
! [X0,X1,X2] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f172]) ).
fof(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(f182,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(flattening,[],[f182]) ).
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(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
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(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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1)
& ~ perp(X0,X4,X6,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X3,X0,X1)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1)
& ~ perp(X0,X4,X6,X5) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK26,sK20,sK22)
& perp(sK26,sK23,sK20,sK22)
& coll(sK25,sK20,sK21)
& perp(sK25,sK23,sK20,sK21)
& eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21)
& ~ perp(sK20,sK24,sK26,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[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(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f116]) ).
fof(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(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(f317,plain,
! [X2,X0,X1] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(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(f328,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f183]) ).
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(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
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(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(f384,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK26,sK23,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK25,sK23,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ perp(sK20,sK24,sK26,sK25),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_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_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X3,X2,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_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_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_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X1,X2,X1,X2,X0,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_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_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X0,X3)
| ~ cyclic(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f328]) ).
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_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
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_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_162,negated_conjecture,
~ perp(sK20,sK24,sK26,sK25),
inference(cnf_transformation,[],[f389]) ).
tcf(c_163,negated_conjecture,
eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21),
inference(cnf_transformation,[],[f388]) ).
tcf(c_164,negated_conjecture,
perp(sK25,sK23,sK20,sK21),
inference(cnf_transformation,[],[f387]) ).
tcf(c_165,negated_conjecture,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f386]) ).
tcf(c_166,negated_conjecture,
perp(sK26,sK23,sK20,sK22),
inference(cnf_transformation,[],[f385]) ).
tcf(c_167,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f384]) ).
tcf(c_173,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_182,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_4273,negated_conjecture,
coll(sK26,sK20,sK22),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4274,negated_conjecture,
perp(sK26,sK23,sK20,sK22),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4275,negated_conjecture,
coll(sK25,sK20,sK21),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4276,negated_conjecture,
perp(sK25,sK23,sK20,sK21),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4277,negated_conjecture,
eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_5796,plain,
coll(sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_4275,c_49]) ).
tcf(c_5797,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_4273,c_49]) ).
tcf(c_5804,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_4275,c_50]) ).
tcf(c_5805,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_4273,c_50]) ).
tcf(c_5806,plain,
coll(sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_5796,c_50]) ).
tcf(c_5807,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_5797,c_50]) ).
tcf(c_5825,plain,
coll(sK21,sK20,sK25),
inference(superposition,[status(thm)],[c_5806,c_49]) ).
tcf(c_5827,plain,
coll(sK22,sK20,sK26),
inference(superposition,[status(thm)],[c_5807,c_49]) ).
tcf(c_5852,plain,
perp(sK25,sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_4276,c_55]) ).
tcf(c_5853,plain,
perp(sK26,sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_4274,c_55]) ).
tcf(c_5859,plain,
perp(sK20,sK21,sK25,sK23),
inference(superposition,[status(thm)],[c_4276,c_56]) ).
tcf(c_5860,plain,
perp(sK20,sK22,sK26,sK23),
inference(superposition,[status(thm)],[c_4274,c_56]) ).
tcf(c_5861,plain,
perp(sK21,sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_5852,c_56]) ).
tcf(c_5874,plain,
perp(sK22,sK20,sK26,sK23),
inference(superposition,[status(thm)],[c_5853,c_56]) ).
tcf(c_5877,plain,
perp(sK20,sK21,sK23,sK25),
inference(superposition,[status(thm)],[c_5859,c_55]) ).
tcf(c_5879,plain,
perp(sK20,sK22,sK23,sK26),
inference(superposition,[status(thm)],[c_5860,c_55]) ).
tcf(c_5924,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_4275,c_51]) ).
tcf(c_5925,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_4273,c_51]) ).
tcf(c_5926,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_5796,c_51]) ).
tcf(c_5927,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_5797,c_51]) ).
tcf(c_5928,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_5804,c_51]) ).
tcf(c_5929,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_5805,c_51]) ).
tcf(c_5930,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_5806,c_51]) ).
tcf(c_5931,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK26,X0) ),
inference(superposition,[status(thm)],[c_5807,c_51]) ).
tcf(c_5972,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_4275,c_5924]) ).
tcf(c_5973,plain,
! [X0: $i] :
( coll(sK25,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_5972,c_51]) ).
tcf(c_5975,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_5972,c_49]) ).
tcf(c_5978,plain,
! [X0: $i] :
( coll(sK21,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_5975,c_51]) ).
tcf(c_5983,plain,
( coll(sK21,sK20,sK21)
| ~ coll(sK21,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_5978]) ).
tcf(c_5993,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_4273,c_5925]) ).
tcf(c_5994,plain,
! [X0: $i] :
( coll(sK26,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_5993,c_51]) ).
tcf(c_5996,plain,
coll(sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_5993,c_49]) ).
tcf(c_5999,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK26,X0) ),
inference(superposition,[status(thm)],[c_5996,c_51]) ).
tcf(c_6004,plain,
( coll(sK22,sK20,sK22)
| ~ coll(sK22,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_5999]) ).
tcf(c_6009,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_5796,c_5926]) ).
tcf(c_6011,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6009,c_51]) ).
tcf(c_6013,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_6009,c_49]) ).
tcf(c_6021,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_5797,c_5927]) ).
tcf(c_6022,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6021,c_51]) ).
tcf(c_6024,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_6021,c_49]) ).
tcf(c_6032,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_5804,c_5928]) ).
tcf(c_6037,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_5805,c_5929]) ).
tcf(c_6060,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_6013,c_51]) ).
tcf(c_6066,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6060]) ).
tcf(c_6068,plain,
coll(sK26,sK20,sK20),
inference(superposition,[status(thm)],[c_6024,c_50]) ).
tcf(c_6090,plain,
coll(sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_5972,c_5973]) ).
tcf(c_6094,plain,
coll(sK25,sK21,sK25),
inference(superposition,[status(thm)],[c_6090,c_49]) ).
tcf(c_6101,plain,
coll(sK26,sK26,sK22),
inference(superposition,[status(thm)],[c_5993,c_5994]) ).
tcf(c_6105,plain,
coll(sK26,sK22,sK26),
inference(superposition,[status(thm)],[c_6101,c_49]) ).
tcf(c_6129,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_5806,c_5930]) ).
tcf(c_6165,plain,
! [X0: $i] :
( coll(sK25,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_6094,c_51]) ).
tcf(c_6171,plain,
( coll(sK25,sK20,sK25)
| ~ coll(sK25,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6165]) ).
tcf(c_6172,plain,
! [X0: $i] :
( coll(sK26,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_6105,c_51]) ).
tcf(c_6178,plain,
( coll(sK26,sK20,sK26)
| ~ coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6172]) ).
tcf(c_6179,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6129,c_51]) ).
tcf(c_6200,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_5807,c_5931]) ).
tcf(c_6202,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6200,c_51]) ).
tcf(c_6463,plain,
( eqangle(sK23,sK20,sK20,sK21,sK22,sK20,sK20,sK24)
| ~ eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_6464,plain,
( eqangle(sK22,sK20,sK23,sK20,sK20,sK24,sK20,sK21)
| ~ eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_6479,plain,
( cong(sK25,sK20,sK25,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_4276,c_104]) ).
tcf(c_6480,plain,
( cong(sK26,sK20,sK26,sK22)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_4274,c_104]) ).
tcf(c_6483,plain,
( cong(sK20,sK25,sK20,sK23)
| ~ midp(sK21,sK25,sK23) ),
inference(superposition,[status(thm)],[c_5859,c_104]) ).
tcf(c_6484,plain,
( cong(sK20,sK26,sK20,sK23)
| ~ midp(sK22,sK26,sK23) ),
inference(superposition,[status(thm)],[c_5860,c_104]) ).
tcf(c_6485,plain,
( cong(sK21,sK25,sK21,sK23)
| ~ midp(sK20,sK25,sK23) ),
inference(superposition,[status(thm)],[c_5861,c_104]) ).
tcf(c_6486,plain,
( cong(sK22,sK26,sK22,sK23)
| ~ midp(sK20,sK26,sK23) ),
inference(superposition,[status(thm)],[c_5874,c_104]) ).
tcf(c_6543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK22,sK20,sK20,sK24,X0,X1,X2,X3)
| ~ eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21)
| ~ eqangle(sK23,sK20,sK20,sK21,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_6576,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK23,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_4276,c_57]) ).
tcf(c_6577,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK23,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_4274,c_57]) ).
tcf(c_6578,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK23,X0,X1)
| ~ perp(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_5852,c_57]) ).
tcf(c_6579,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK23,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_5853,c_57]) ).
tcf(c_6580,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK25,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_5859,c_57]) ).
tcf(c_6581,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK26,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_5860,c_57]) ).
tcf(c_6692,plain,
( cong(sK25,sK21,sK25,sK20)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6479,c_72]) ).
tcf(c_6710,plain,
( cong(sK26,sK22,sK26,sK20)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6480,c_72]) ).
tcf(c_6742,plain,
para(sK25,sK23,sK25,sK23),
inference(superposition,[status(thm)],[c_5859,c_6576]) ).
tcf(c_6743,plain,
para(sK25,sK23,sK23,sK25),
inference(superposition,[status(thm)],[c_5877,c_6576]) ).
tcf(c_6748,plain,
para(sK26,sK23,sK26,sK23),
inference(superposition,[status(thm)],[c_5860,c_6577]) ).
tcf(c_6749,plain,
para(sK26,sK23,sK23,sK26),
inference(superposition,[status(thm)],[c_5879,c_6577]) ).
tcf(c_6774,plain,
! [X0: $i] :
( circle(sK25,sK20,X0,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ cong(sK25,sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_6479,c_60]) ).
tcf(c_6775,plain,
! [X0: $i] :
( circle(sK26,sK20,X0,sK22)
| ~ midp(sK23,sK20,sK22)
| ~ cong(sK26,sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_6480,c_60]) ).
tcf(c_6800,plain,
! [X0: $i,X1: $i] :
( cong(sK25,sK20,X0,X1)
| ~ midp(sK23,sK20,sK21)
| ~ cong(sK25,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_6479,c_73]) ).
tcf(c_6801,plain,
! [X0: $i,X1: $i] :
( cong(sK26,sK20,X0,X1)
| ~ midp(sK23,sK20,sK22)
| ~ cong(sK26,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6480,c_73]) ).
tcf(c_6865,plain,
coll(sK25,sK23,sK23),
inference(superposition,[status(thm)],[c_6742,c_115]) ).
tcf(c_6868,plain,
para(sK23,sK25,sK25,sK23),
inference(superposition,[status(thm)],[c_6743,c_53]) ).
tcf(c_6880,plain,
coll(sK26,sK23,sK23),
inference(superposition,[status(thm)],[c_6748,c_115]) ).
tcf(c_6883,plain,
para(sK23,sK26,sK26,sK23),
inference(superposition,[status(thm)],[c_6749,c_53]) ).
tcf(c_6994,plain,
eqangle(sK20,sK22,sK20,sK24,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_4277,c_66]) ).
tcf(c_7011,plain,
eqangle(sK20,sK24,sK22,sK20,sK20,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_4277,c_67]) ).
tcf(c_7064,plain,
eqangle(sK20,sK24,sK20,sK22,sK20,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_6994,c_67]) ).
tcf(c_7099,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK25,X0,X1)
| ~ midp(sK21,sK25,sK23)
| ~ cong(sK20,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_6483,c_73]) ).
tcf(c_7100,plain,
( cong(sK20,sK23,sK20,sK25)
| ~ midp(sK21,sK25,sK23) ),
inference(superposition,[status(thm)],[c_6483,c_72]) ).
tcf(c_7123,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK26,X0,X1)
| ~ midp(sK22,sK26,sK23)
| ~ cong(sK20,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_6484,c_73]) ).
tcf(c_7124,plain,
( cong(sK20,sK23,sK20,sK26)
| ~ midp(sK22,sK26,sK23) ),
inference(superposition,[status(thm)],[c_6484,c_72]) ).
tcf(c_7180,plain,
eqangle(sK23,sK20,sK20,sK21,sK22,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_4277,c_68]) ).
tcf(c_7182,plain,
eqangle(sK20,sK21,sK23,sK20,sK20,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_7011,c_68]) ).
tcf(c_7217,plain,
eqangle(sK22,sK20,sK23,sK20,sK20,sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_4277,c_69]) ).
tcf(c_7219,plain,
eqangle(sK20,sK24,sK20,sK21,sK22,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_7011,c_69]) ).
tcf(c_7220,plain,
eqangle(sK20,sK24,sK20,sK21,sK20,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_7064,c_69]) ).
tcf(c_7454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,sK20,sK20,sK21,X0,X1,X2,X3)
| ~ eqangle(sK23,sK20,sK20,sK21,sK22,sK20,sK20,sK24)
| ~ eqangle(sK22,sK20,sK20,sK24,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_7495,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_4276,c_6580]) ).
tcf(c_7496,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_5852,c_6580]) ).
tcf(c_7497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK22,sK20,sK23,sK20,X0,X1,X2,X3)
| ~ eqangle(sK22,sK20,sK23,sK20,sK20,sK24,sK20,sK21)
| ~ eqangle(sK20,sK24,sK20,sK21,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_7721,plain,
( eqangle(sK22,sK20,sK20,sK24,sK22,sK20,sK20,sK24)
| ~ eqangle(sK23,sK20,sK20,sK21,sK22,sK20,sK20,sK24)
| ~ eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6543]) ).
tcf(c_7750,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_7763,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7750]) ).
tcf(c_7773,plain,
! [X0: $i] :
( midp(sK23,X0,sK23)
| ~ midp(sK25,X0,sK25)
| ~ coll(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_6742,c_94]) ).
tcf(c_7816,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_6865,c_51]) ).
tcf(c_7821,plain,
( coll(sK23,sK20,sK25)
| ~ coll(sK25,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_7816]) ).
tcf(c_7837,plain,
! [X0: $i] :
( coll(sK23,X0,sK26)
| ~ coll(sK26,sK23,X0) ),
inference(superposition,[status(thm)],[c_6880,c_51]) ).
tcf(c_7838,plain,
coll(sK23,sK26,sK23),
inference(superposition,[status(thm)],[c_6880,c_50]) ).
tcf(c_7842,plain,
( coll(sK23,sK20,sK26)
| ~ coll(sK26,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_7837]) ).
tcf(c_7849,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7495,c_94]) ).
tcf(c_7858,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7849]) ).
tcf(c_7860,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X0,X1)
| ~ perp(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7496,c_58]) ).
tcf(c_7862,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_7496,c_53]) ).
tcf(c_7880,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_4274,c_6581]) ).
tcf(c_7881,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_5853,c_6581]) ).
tcf(c_7884,plain,
! [X0: $i] :
( midp(sK22,X0,sK22)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_7880,c_94]) ).
tcf(c_7893,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7884]) ).
tcf(c_7895,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7881,c_58]) ).
tcf(c_7897,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_7881,c_53]) ).
tcf(c_7991,plain,
! [X0: $i] :
( circle(sK25,sK20,X0,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_117,c_6774]) ).
tcf(c_7992,plain,
( circle(sK25,sK20,sK21,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6479,c_6774]) ).
tcf(c_8226,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ coll(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7992,c_102]) ).
tcf(c_8227,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8226,c_4275]) ).
tcf(c_8235,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK21,sK21,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8227,c_104]) ).
tcf(c_8238,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(sK23,sK20,sK21)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8227,c_101]) ).
tcf(c_8381,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X1,X0)
| ~ midp(sK23,sK20,sK21)
| ~ midp(X1,sK20,sK21)
| ~ cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_8238,c_105]) ).
tcf(c_8452,plain,
! [X0: $i] :
( circle(sK26,sK20,X0,sK22)
| ~ midp(sK23,sK20,sK22)
| ~ midp(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_117,c_6775]) ).
tcf(c_8779,plain,
( cong(sK25,sK20,sK25,sK20)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6692,c_6800]) ).
tcf(c_8797,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6710,c_6801]) ).
tcf(c_9124,plain,
( para(sK22,sK20,sK22,sK20)
| ~ eqangle(sK22,sK20,sK20,sK24,sK22,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_9394,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7495,c_113]) ).
tcf(c_9409,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9394,c_7495]) ).
tcf(c_9434,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9409]) ).
tcf(c_9645,plain,
( perp(sK20,sK24,sK22,sK20)
| ~ perp(sK20,sK21,sK23,sK20) ),
inference(superposition,[status(thm)],[c_7011,c_123]) ).
tcf(c_9651,plain,
( perp(sK20,sK21,sK23,sK20)
| ~ perp(sK20,sK24,sK22,sK20) ),
inference(superposition,[status(thm)],[c_7182,c_123]) ).
tcf(c_9726,plain,
( eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK21)
| ~ eqangle(sK23,sK20,sK20,sK21,sK22,sK20,sK20,sK24)
| ~ eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7454]) ).
tcf(c_9728,plain,
( eqangle(sK22,sK20,sK23,sK20,sK22,sK20,sK23,sK20)
| ~ eqangle(sK22,sK20,sK23,sK20,sK20,sK24,sK20,sK21)
| ~ eqangle(sK20,sK24,sK20,sK21,sK22,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_7497]) ).
tcf(c_9743,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK23,X1)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_9744,plain,
( coll(sK20,sK23,sK20)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9743]) ).
tcf(c_9972,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK25,sK23)
| ~ coll(sK23,X0,sK25)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_9973,plain,
( coll(sK20,sK25,sK23)
| ~ coll(sK23,sK20,sK25)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9972]) ).
tcf(c_10021,plain,
! [X0: $i] :
( coll(sK23,X0,sK23)
| ~ coll(sK23,sK26,X0) ),
inference(superposition,[status(thm)],[c_7838,c_51]) ).
tcf(c_10026,plain,
( coll(sK23,sK20,sK23)
| ~ coll(sK23,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_10021]) ).
tcf(c_10143,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK26,sK23)
| ~ coll(sK23,X0,sK26)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_10144,plain,
( coll(sK20,sK26,sK23)
| ~ coll(sK23,sK20,sK26)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10143]) ).
tcf(c_10154,plain,
para(sK23,sK25,sK23,sK25),
inference(superposition,[status(thm)],[c_6868,c_52]) ).
tcf(c_10179,plain,
para(sK23,sK26,sK23,sK26),
inference(superposition,[status(thm)],[c_6883,c_52]) ).
tcf(c_10229,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_7862,c_52]) ).
tcf(c_10390,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_10392,plain,
( eqangle(sK20,sK21,sK20,sK20,sK20,sK21,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_10390]) ).
tcf(c_10396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK20,sK21,sK20,sK21)
| ~ eqangle(X0,X1,X2,X3,sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_10459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK20,sK22,sK20,sK22)
| ~ eqangle(X0,X1,X2,X3,sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_10593,plain,
( para(sK23,sK20,sK23,sK20)
| ~ eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_10738,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK20,X0,X1)
| ~ para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_7897,c_54]) ).
tcf(c_10751,plain,
( para(sK22,sK20,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10738]) ).
tcf(c_11105,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,X0,sK21,X1)
| ~ midp(sK23,sK20,sK21)
| ~ cong(sK25,sK20,sK25,X1)
| ~ cong(sK25,sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_6479,c_61]) ).
tcf(c_11106,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,X0,sK22,X1)
| ~ midp(sK23,sK20,sK22)
| ~ cong(sK26,sK20,sK26,X1)
| ~ cong(sK26,sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_6480,c_61]) ).
tcf(c_12489,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK23)
| ~ coll(sK23,X0,X2)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_12490,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12489]) ).
tcf(c_12989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK22,sK20,sK20,sK24,X0,X1,X2,X3)
| ~ eqangle(sK23,sK20,sK20,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_4277,c_70]) ).
tcf(c_12992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,sK20,sK20,sK21,X0,X1,X2,X3)
| ~ eqangle(sK22,sK20,sK20,sK24,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7180,c_70]) ).
tcf(c_12993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK22,sK20,sK23,sK20,X0,X1,X2,X3)
| ~ eqangle(sK20,sK24,sK20,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7217,c_70]) ).
tcf(c_13300,plain,
! [X0: $i,X1: $i] :
( coll(sK23,X0,X1)
| ~ para(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_13303,plain,
( coll(sK23,sK20,sK20)
| ~ para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_13300]) ).
tcf(c_13330,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK20,sK20,sK24,X0,X1,sK20,sK21)
| ~ para(sK23,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_12989]) ).
tcf(c_13386,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK24,sK22,sK20,sK20,sK21,X0,X1)
| ~ para(sK23,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_13330,c_67]) ).
tcf(c_13987,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK20,X0,X1,sK22,sK20,X0,X1)
| ~ para(sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_13993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK22,sK20,sK22,sK20)
| ~ eqangle(X0,X1,X2,X3,sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_13994,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK22,sK20,sK22,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_13993]) ).
tcf(c_14078,plain,
( eqangle(sK22,sK20,sK22,sK20,sK23,sK20,sK23,sK20)
| ~ eqangle(sK22,sK20,sK23,sK20,sK22,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_14316,plain,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_4277,c_12992]) ).
tcf(c_14353,plain,
eqangle(sK23,sK20,sK23,sK20,sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_14316,c_69]) ).
tcf(c_14356,plain,
eqangle(sK20,sK23,sK20,sK21,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_14316,c_66]) ).
tcf(c_14357,plain,
para(sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_14316,c_87]) ).
tcf(c_14389,plain,
para(sK23,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_14357,c_52]) ).
tcf(c_14390,plain,
coll(sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_14357,c_115]) ).
tcf(c_14432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,sK20,sK23,sK20,X0,X1,X2,X3)
| ~ eqangle(sK20,sK21,sK20,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14353,c_70]) ).
tcf(c_14433,plain,
( perp(sK23,sK20,sK23,sK20)
| ~ perp(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_14353,c_123]) ).
tcf(c_14447,plain,
( eqangle(sK23,sK20,sK23,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK21,sK20,sK21,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_14432]) ).
tcf(c_14483,plain,
para(sK20,sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_14356,c_87]) ).
tcf(c_14532,plain,
eqangle(sK22,sK20,sK23,sK20,sK20,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_7220,c_12993]) ).
tcf(c_15035,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_15094,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_15035]) ).
tcf(c_15180,plain,
coll(sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_14390,c_50]) ).
tcf(c_15195,plain,
coll(sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_15180,c_49]) ).
tcf(c_15202,plain,
coll(sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_15195,c_6202]) ).
tcf(c_15203,plain,
coll(sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_15195,c_6179]) ).
tcf(c_15204,plain,
coll(sK26,sK23,sK20),
inference(superposition,[status(thm)],[c_15195,c_6022]) ).
tcf(c_15205,plain,
coll(sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_15195,c_6011]) ).
tcf(c_16117,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK20,X0,X1,sK21,sK20,X0,X1)
| ~ para(sK21,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_16159,plain,
! [X0: $i] :
( midp(sK25,X0,sK25)
| ~ midp(sK23,X0,sK23)
| ~ coll(sK25,X0,sK25) ),
inference(superposition,[status(thm)],[c_10154,c_94]) ).
tcf(c_16172,plain,
( midp(sK25,sK20,sK25)
| ~ midp(sK23,sK20,sK23)
| ~ coll(sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_16159]) ).
tcf(c_16180,plain,
coll(sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_15202,c_50]) ).
tcf(c_16185,plain,
coll(sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_15203,c_50]) ).
tcf(c_16206,plain,
coll(sK23,sK26,sK20),
inference(superposition,[status(thm)],[c_15204,c_50]) ).
tcf(c_16207,plain,
coll(sK26,sK20,sK23),
inference(superposition,[status(thm)],[c_15204,c_49]) ).
tcf(c_16223,plain,
coll(sK25,sK20,sK23),
inference(superposition,[status(thm)],[c_15205,c_49]) ).
tcf(c_16434,plain,
! [X0: $i] :
( midp(sK20,X0,sK23)
| ~ midp(sK23,X0,sK20)
| ~ coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_14389,c_94]) ).
tcf(c_16451,plain,
( midp(sK20,sK20,sK23)
| ~ midp(sK23,sK20,sK20)
| ~ coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_16434]) ).
tcf(c_16456,plain,
! [X0: $i] :
( midp(sK23,X0,sK20)
| ~ midp(sK20,X0,sK23)
| ~ coll(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_14483,c_94]) ).
tcf(c_16460,plain,
para(sK20,sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_14483,c_52]) ).
tcf(c_16473,plain,
( midp(sK23,sK20,sK20)
| ~ midp(sK20,sK20,sK23)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16456]) ).
tcf(c_16523,plain,
coll(sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_16180,c_49]) ).
tcf(c_16535,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,sK20,sK21,X0,X1,X0,X1)
| ~ eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_16541,plain,
( eqangle(sK20,sK21,sK20,sK21,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK21,sK20,sK20,sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16535]) ).
tcf(c_16563,plain,
coll(sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_16185,c_49]) ).
tcf(c_16609,plain,
coll(sK22,sK23,sK26),
inference(superposition,[status(thm)],[c_16207,c_5925]) ).
tcf(c_16628,plain,
coll(sK22,sK26,sK23),
inference(superposition,[status(thm)],[c_16609,c_49]) ).
tcf(c_16786,plain,
coll(sK21,sK23,sK25),
inference(superposition,[status(thm)],[c_16223,c_5924]) ).
tcf(c_16908,plain,
coll(sK21,sK25,sK23),
inference(superposition,[status(thm)],[c_16786,c_49]) ).
tcf(c_17402,plain,
eqangle(sK22,sK20,sK20,sK22,sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_14532,c_69]) ).
tcf(c_17599,plain,
( midp(sK21,sK25,sK23)
| ~ midp(sK20,sK25,sK23)
| ~ coll(sK21,sK25,sK23) ),
inference(superposition,[status(thm)],[c_6485,c_116]) ).
tcf(c_17614,plain,
( midp(sK21,sK25,sK23)
| ~ midp(sK20,sK25,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17599,c_16908]) ).
tcf(c_17677,plain,
( midp(sK22,sK26,sK23)
| ~ midp(sK20,sK26,sK23)
| ~ coll(sK22,sK26,sK23) ),
inference(superposition,[status(thm)],[c_6486,c_116]) ).
tcf(c_17692,plain,
( midp(sK22,sK26,sK23)
| ~ midp(sK20,sK26,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17677,c_16628]) ).
tcf(c_17974,plain,
! [X0: $i] :
( midp(sK26,X0,sK26)
| ~ midp(sK23,X0,sK23)
| ~ coll(sK26,X0,sK26) ),
inference(superposition,[status(thm)],[c_10179,c_94]) ).
tcf(c_17987,plain,
( midp(sK26,sK20,sK26)
| ~ midp(sK23,sK20,sK23)
| ~ coll(sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_17974]) ).
tcf(c_18599,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK23,sK20,sK23) ),
inference(superposition,[status(thm)],[c_16460,c_113]) ).
tcf(c_18600,plain,
! [X0: $i] :
( midp(sK23,X0,sK23)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_16460,c_94]) ).
tcf(c_18605,plain,
coll(sK20,sK23,sK23),
inference(superposition,[status(thm)],[c_16460,c_115]) ).
tcf(c_18609,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18599,c_16460]) ).
tcf(c_18612,plain,
( midp(sK20,sK23,sK23)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_18609]) ).
tcf(c_18613,plain,
( midp(sK23,sK20,sK23)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_18600]) ).
tcf(c_18638,plain,
coll(sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_18605,c_50]) ).
tcf(c_19434,plain,
! [X0: $i] :
( cyclic(sK20,sK20,sK21,X0)
| ~ midp(sK23,sK20,sK21)
| ~ cong(sK25,sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_8779,c_11105]) ).
tcf(c_19519,plain,
( midp(sK26,sK20,sK20)
| ~ midp(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_8797,c_116]) ).
tcf(c_19532,plain,
! [X0: $i] :
( cyclic(sK20,sK20,sK22,X0)
| ~ midp(sK23,sK20,sK22)
| ~ cong(sK26,sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_8797,c_11106]) ).
tcf(c_19533,plain,
( circle(sK26,sK20,sK20,sK22)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_8797,c_6775]) ).
tcf(c_19542,plain,
( midp(sK26,sK20,sK20)
| ~ midp(sK23,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19519,c_6068]) ).
tcf(c_21205,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ midp(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK22) ),
inference(superposition,[status(thm)],[c_19533,c_102]) ).
tcf(c_21206,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ midp(sK23,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21205,c_4273]) ).
tcf(c_21215,plain,
( perp(sK20,sK22,sK20,sK20)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_21206,c_56]) ).
tcf(c_21299,plain,
( para(sK26,sK23,sK20,sK20)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_21215,c_6577]) ).
tcf(c_21331,plain,
! [X0: $i] :
( midp(sK23,X0,sK20)
| ~ midp(sK23,sK20,sK22)
| ~ midp(sK26,X0,sK20)
| ~ coll(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_21299,c_94]) ).
tcf(c_21353,plain,
( midp(sK23,sK20,sK20)
| ~ midp(sK23,sK20,sK22)
| ~ midp(sK26,sK20,sK20)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21331]) ).
tcf(c_22625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK22,sK20,sK22,sK20,X0,X1,X2,X3)
| ~ eqangle(sK22,sK20,sK22,sK20,sK23,sK20,sK23,sK20)
| ~ eqangle(sK23,sK20,sK23,sK20,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_22630,plain,
( eqangle(sK22,sK20,sK22,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK23,sK20,sK23,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK22,sK20,sK22,sK20,sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_22625]) ).
tcf(c_23536,plain,
( midp(sK23,sK20,sK23)
| ~ midp(sK25,sK20,sK25) ),
inference(superposition,[status(thm)],[c_18638,c_7773]) ).
tcf(c_23963,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ coll(sK25,sK20,sK21)
| ~ midp(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_7991,c_102]) ).
tcf(c_23964,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK25,sK20,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23963,c_4275]) ).
tcf(c_24214,plain,
! [X0: $i] :
( perp(X0,sK21,sK20,X0)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_23964,c_56]) ).
tcf(c_24300,plain,
! [X0: $i] :
( cong(X0,sK20,X0,X0)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK21,sK20,X0)
| ~ midp(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_24214,c_104]) ).
tcf(c_26026,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK22)
| ~ midp(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK22)
| ~ midp(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_8452,c_102]) ).
tcf(c_26027,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK22)
| ~ midp(sK23,sK20,sK22)
| ~ midp(sK26,sK20,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26026,c_4273]) ).
tcf(c_26040,plain,
! [X0: $i] :
( perp(X0,sK22,sK20,X0)
| ~ midp(sK23,sK20,sK22)
| ~ midp(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_26027,c_56]) ).
tcf(c_26111,plain,
! [X0: $i] :
( cong(X0,sK20,X0,X0)
| ~ midp(sK23,sK20,sK22)
| ~ midp(sK22,sK20,X0)
| ~ midp(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_26040,c_104]) ).
tcf(c_29148,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK21)
| ~ para(sK20,sK21,sK20,sK21)
| ~ eqangle(X0,X1,sK20,sK21,sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_10396]) ).
tcf(c_29150,plain,
( para(sK20,sK20,sK20,sK21)
| ~ para(sK20,sK21,sK20,sK21)
| ~ eqangle(sK20,sK20,sK20,sK21,sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_29148]) ).
tcf(c_29152,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK22)
| ~ para(sK20,sK22,sK20,sK22)
| ~ eqangle(X0,X1,sK20,sK22,sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_10459]) ).
tcf(c_29154,plain,
( para(sK20,sK20,sK20,sK22)
| ~ para(sK20,sK22,sK20,sK22)
| ~ eqangle(sK20,sK20,sK20,sK22,sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_29152]) ).
tcf(c_29184,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK24,sK22,sK20)
| ~ perp(sK20,sK21,X0,X1)
| ~ para(sK23,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_13386,c_123]) ).
tcf(c_29206,plain,
( perp(sK20,sK24,sK22,sK20)
| ~ perp(sK20,sK21,sK20,sK20)
| ~ para(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_29184]) ).
tcf(c_32313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK22,sK20,sK22,sK20)
| ~ eqangle(sK22,sK20,sK22,sK20,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_32314,plain,
( eqangle(sK20,sK20,sK20,sK20,sK22,sK20,sK22,sK20)
| ~ eqangle(sK22,sK20,sK22,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32313]) ).
tcf(c_32907,plain,
! [X0: $i] :
( cyclic(sK20,X0,sK22,sK22)
| ~ coll(sK22,sK22,X0)
| ~ eqangle(sK22,sK20,sK22,X0,sK22,sK20,sK22,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_32908,plain,
! [X0: $i] :
( eqangle(sK22,sK20,sK22,X0,sK22,sK20,sK22,X0)
| ~ para(sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_13987]) ).
tcf(c_32909,plain,
( cyclic(sK20,sK20,sK22,sK22)
| ~ coll(sK22,sK22,sK20)
| ~ eqangle(sK22,sK20,sK22,sK20,sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_32907]) ).
tcf(c_32910,plain,
( eqangle(sK22,sK20,sK22,sK20,sK22,sK20,sK22,sK20)
| ~ para(sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_32908]) ).
tcf(c_33901,plain,
! [X0: $i] :
( eqangle(sK21,sK20,sK21,X0,sK21,sK20,sK21,X0)
| ~ para(sK21,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_16117]) ).
tcf(c_33902,plain,
! [X0: $i] :
( cyclic(sK20,X0,sK21,sK21)
| ~ coll(sK21,sK21,X0)
| ~ eqangle(sK21,sK20,sK21,X0,sK21,sK20,sK21,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_33903,plain,
( eqangle(sK21,sK20,sK21,sK20,sK21,sK20,sK21,sK20)
| ~ para(sK21,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_33901]) ).
tcf(c_33904,plain,
( cyclic(sK20,sK20,sK21,sK21)
| ~ coll(sK21,sK21,sK20)
| ~ eqangle(sK21,sK20,sK21,sK20,sK21,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_33902]) ).
tcf(c_38114,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ para(X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_38115,plain,
( para(sK20,sK22,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_38114]) ).
tcf(c_38116,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ para(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_38117,plain,
( para(sK20,sK21,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_38116]) ).
tcf(c_39368,plain,
( cong(sK20,sK25,sK20,sK25)
| ~ midp(sK21,sK25,sK23) ),
inference(superposition,[status(thm)],[c_7100,c_7099]) ).
tcf(c_39777,plain,
( cong(sK20,sK26,sK20,sK26)
| ~ midp(sK22,sK26,sK23) ),
inference(superposition,[status(thm)],[c_7124,c_7123]) ).
tcf(c_41520,plain,
( perp(sK22,sK20,sK20,sK22)
| ~ perp(sK23,sK20,sK23,sK20) ),
inference(superposition,[status(thm)],[c_17402,c_123]) ).
tcf(c_42372,plain,
( cyclic(sK20,sK20,sK21,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6479,c_19434]) ).
tcf(c_42406,plain,
cyclic(sK20,sK20,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_42372,c_6032,c_10229,c_33903,c_33904]) ).
tcf(c_42408,plain,
( perp(sK21,sK20,sK20,sK21)
| ~ cong(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_42406,c_106]) ).
tcf(c_42568,plain,
( perp(sK21,sK20,sK20,sK21)
| ~ midp(sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_117,c_42408]) ).
tcf(c_42569,plain,
( perp(sK21,sK20,sK20,sK21)
| ~ midp(sK21,sK21,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8235,c_42408]) ).
tcf(c_42601,plain,
perp(sK21,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_42569,c_163,c_173,c_6013,c_6066,c_6463,c_6464,c_7219,c_7495,c_7721,c_7763,c_9124,c_9434,c_9728,c_10392,c_13994,c_14078,c_14447,c_15094,c_16541,c_22630,c_32314,c_42568]) ).
tcf(c_42612,plain,
perp(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_42601,c_7860]) ).
tcf(c_42613,plain,
para(sK25,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_42601,c_6578]) ).
tcf(c_42628,plain,
perp(sK23,sK20,sK23,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_14433,c_42612]) ).
tcf(c_42639,plain,
para(sK20,sK21,sK25,sK23),
inference(superposition,[status(thm)],[c_42613,c_53]) ).
tcf(c_42640,plain,
para(sK25,sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_42613,c_52]) ).
tcf(c_42666,plain,
( cyclic(sK20,sK20,sK22,sK22)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6480,c_19532]) ).
tcf(c_42700,plain,
cyclic(sK20,sK20,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_42666,c_163,c_6037,c_6463,c_7721,c_9124,c_32909,c_32910]) ).
tcf(c_42702,plain,
( perp(sK22,sK20,sK20,sK22)
| ~ cong(sK20,sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_42700,c_106]) ).
tcf(c_42823,plain,
para(sK20,sK21,sK23,sK25),
inference(superposition,[status(thm)],[c_42639,c_52]) ).
tcf(c_42873,plain,
( cong(sK20,sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_42612,c_104]) ).
tcf(c_42893,plain,
perp(sK23,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_42628,c_55]) ).
tcf(c_42913,plain,
para(sK21,sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_42640,c_53]) ).
tcf(c_43017,plain,
perp(sK22,sK20,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_42702,c_41520,c_42628]) ).
tcf(c_43028,plain,
perp(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_43017,c_7895]) ).
tcf(c_43029,plain,
para(sK26,sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_43017,c_6579]) ).
tcf(c_43064,plain,
para(sK20,sK22,sK26,sK23),
inference(superposition,[status(thm)],[c_43029,c_53]) ).
tcf(c_43206,plain,
! [X0: $i] :
( midp(sK21,X0,sK25)
| ~ midp(sK20,X0,sK23)
| ~ coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_42823,c_94]) ).
tcf(c_43209,plain,
para(sK23,sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_42823,c_53]) ).
tcf(c_43223,plain,
( midp(sK21,sK20,sK25)
| ~ midp(sK20,sK20,sK23)
| ~ coll(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_43206]) ).
tcf(c_43295,plain,
perp(sK20,sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_42893,c_56]) ).
tcf(c_43357,plain,
! [X0: $i] :
( midp(sK20,X0,sK23)
| ~ midp(sK21,X0,sK25)
| ~ coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_42913,c_94]) ).
tcf(c_43375,plain,
( midp(sK20,sK20,sK23)
| ~ midp(sK21,sK20,sK25)
| ~ coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_43357]) ).
tcf(c_44128,plain,
para(sK20,sK22,sK23,sK26),
inference(superposition,[status(thm)],[c_43064,c_52]) ).
tcf(c_44164,plain,
( cong(sK20,sK20,sK20,sK22)
| ~ midp(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_43028,c_104]) ).
tcf(c_44623,plain,
! [X0: $i] :
( midp(sK25,X0,sK21)
| ~ midp(sK23,X0,sK20)
| ~ coll(sK25,X0,sK21) ),
inference(superposition,[status(thm)],[c_43209,c_94]) ).
tcf(c_44641,plain,
( midp(sK25,sK20,sK21)
| ~ midp(sK23,sK20,sK20)
| ~ coll(sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_44623]) ).
tcf(c_44792,plain,
( cong(sK20,sK23,sK20,sK20)
| ~ midp(sK23,sK23,sK20) ),
inference(superposition,[status(thm)],[c_43295,c_104]) ).
tcf(c_44794,plain,
perp(sK20,sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_43295,c_55]) ).
tcf(c_45455,plain,
! [X0: $i] :
( midp(sK22,X0,sK26)
| ~ midp(sK20,X0,sK23)
| ~ coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_44128,c_94]) ).
tcf(c_45458,plain,
para(sK23,sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_44128,c_53]) ).
tcf(c_45472,plain,
( midp(sK22,sK20,sK26)
| ~ midp(sK20,sK20,sK23)
| ~ coll(sK22,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_45455]) ).
tcf(c_46831,plain,
( cong(sK20,sK20,sK20,sK23)
| ~ midp(sK23,sK20,sK23) ),
inference(superposition,[status(thm)],[c_44794,c_104]) ).
tcf(c_46848,plain,
! [X0: $i] :
( midp(sK26,X0,sK22)
| ~ midp(sK23,X0,sK20)
| ~ coll(sK26,X0,sK22) ),
inference(superposition,[status(thm)],[c_45458,c_94]) ).
tcf(c_46866,plain,
( midp(sK26,sK20,sK22)
| ~ midp(sK23,sK20,sK20)
| ~ coll(sK26,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_46848]) ).
tcf(c_47267,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ perp(sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_47268,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ perp(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_47267]) ).
tcf(c_47277,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK22)
| ~ perp(sK20,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_47278,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ perp(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_47277]) ).
tcf(c_48618,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK24,sK26,sK25)
| ~ perp(X0,X1,sK26,sK25)
| ~ para(sK20,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_48619,plain,
( perp(sK20,sK24,sK26,sK25)
| ~ perp(sK20,sK20,sK26,sK25)
| ~ para(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_48618]) ).
tcf(c_48620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK20,sK21,X2,X3)
| ~ para(sK20,sK21,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_48621,plain,
( perp(sK20,sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_48620]) ).
tcf(c_48622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK20,sK22,X2,X3)
| ~ para(sK20,sK22,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_48623,plain,
( perp(sK20,sK22,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_48622]) ).
tcf(c_48638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK22,sK20,X2,X3)
| ~ para(sK22,sK20,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_48639,plain,
( perp(sK22,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ para(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_48638]) ).
tcf(c_56686,plain,
coll(sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_4275,c_49]) ).
tcf(c_56687,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_4273,c_49]) ).
tcf(c_56701,plain,
coll(sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_56686,c_50]) ).
tcf(c_56730,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_56687,c_50]) ).
tcf(c_56794,plain,
perp(sK20,sK21,sK25,sK23),
inference(superposition,[status(thm)],[c_4276,c_56]) ).
tcf(c_56795,plain,
perp(sK20,sK22,sK26,sK23),
inference(superposition,[status(thm)],[c_4274,c_56]) ).
tcf(c_56799,plain,
perp(sK20,sK21,sK23,sK25),
inference(superposition,[status(thm)],[c_56794,c_55]) ).
tcf(c_56801,plain,
perp(sK20,sK22,sK23,sK26),
inference(superposition,[status(thm)],[c_56795,c_55]) ).
tcf(c_56852,plain,
perp(sK23,sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_56799,c_56]) ).
tcf(c_56854,plain,
perp(sK23,sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_56801,c_56]) ).
tcf(c_56898,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_56701,c_51]) ).
tcf(c_56899,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK26,X0) ),
inference(superposition,[status(thm)],[c_56730,c_51]) ).
tcf(c_57335,plain,
( cong(sK25,sK20,sK25,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_4276,c_104]) ).
tcf(c_57336,plain,
( cong(sK26,sK20,sK26,sK22)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_4274,c_104]) ).
tcf(c_57347,plain,
( cong(sK23,sK20,sK23,sK21)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_56852,c_104]) ).
tcf(c_57348,plain,
( cong(sK23,sK20,sK23,sK22)
| ~ midp(sK26,sK20,sK22) ),
inference(superposition,[status(thm)],[c_56854,c_104]) ).
tcf(c_57408,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK23,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_4276,c_57]) ).
tcf(c_57534,plain,
( cong(sK25,sK21,sK25,sK20)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_57335,c_72]) ).
tcf(c_57552,plain,
( cong(sK26,sK22,sK26,sK20)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_57336,c_72]) ).
tcf(c_57620,plain,
! [X0: $i] :
( circle(sK25,sK20,X0,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ cong(sK25,sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_57335,c_60]) ).
tcf(c_57621,plain,
! [X0: $i] :
( circle(sK26,sK20,X0,sK22)
| ~ midp(sK23,sK20,sK22)
| ~ cong(sK26,sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_57336,c_60]) ).
tcf(c_57662,plain,
! [X0: $i,X1: $i] :
( cong(sK25,sK20,X0,X1)
| ~ midp(sK23,sK20,sK21)
| ~ cong(sK25,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_57335,c_73]) ).
tcf(c_57663,plain,
! [X0: $i,X1: $i] :
( cong(sK26,sK20,X0,X1)
| ~ midp(sK23,sK20,sK22)
| ~ cong(sK26,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_57336,c_73]) ).
tcf(c_57770,plain,
( midp(sK23,sK20,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ coll(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_57347,c_116]) ).
tcf(c_57794,plain,
( midp(sK23,sK20,sK22)
| ~ midp(sK26,sK20,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_57348,c_116]) ).
tcf(c_60421,plain,
( cong(sK25,sK20,sK25,sK20)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_57534,c_57662]) ).
tcf(c_60459,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_57552,c_57663]) ).
tcf(c_60983,plain,
( circle(sK25,sK20,sK20,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_60421,c_57620]) ).
tcf(c_61022,plain,
( circle(sK26,sK20,sK20,sK22)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_60459,c_57621]) ).
tcf(c_64215,plain,
midp(sK23,sK20,sK23),
inference(global_subsumption_just,[status(thm)],[c_23536,c_163,c_173,c_6013,c_6066,c_6463,c_6464,c_7219,c_7495,c_7721,c_7763,c_9124,c_9728,c_10026,c_10392,c_13994,c_14078,c_14447,c_15094,c_16206,c_16541,c_18613,c_22630,c_32314]) ).
tcf(c_64220,plain,
midp(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_64215,c_59]) ).
tcf(c_64272,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK20,X1)
| ~ midp(X0,sK23,X1) ),
inference(superposition,[status(thm)],[c_64220,c_93]) ).
tcf(c_64279,plain,
( para(sK23,sK20,sK20,sK20)
| ~ midp(sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_64272]) ).
tcf(c_73522,plain,
( circle(sK25,sK20,sK25,sK21)
| ~ midp(sK21,sK20,sK25)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK25,sK20,sK25) ),
inference(superposition,[status(thm)],[c_24300,c_6774]) ).
tcf(c_73798,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_56701,c_56898]) ).
tcf(c_75580,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_56730,c_56899]) ).
tcf(c_76913,plain,
( circle(sK26,sK20,sK26,sK22)
| ~ midp(sK23,sK20,sK22)
| ~ midp(sK22,sK20,sK26)
| ~ midp(sK26,sK20,sK26) ),
inference(superposition,[status(thm)],[c_26111,c_6775]) ).
tcf(c_84120,plain,
( circle(sK25,sK20,sK25,sK21)
| ~ midp(sK21,sK20,sK25) ),
inference(global_subsumption_just,[status(thm)],[c_73522,c_165,c_163,c_173,c_5796,c_6013,c_6066,c_6171,c_6463,c_6464,c_7219,c_7495,c_7721,c_7763,c_9124,c_9726,c_9728,c_10026,c_10392,c_10593,c_12490,c_13303,c_13994,c_14078,c_14447,c_15094,c_16172,c_16206,c_16473,c_16541,c_16563,c_18613,c_22630,c_32314,c_43375,c_44641,c_57770,c_73522]) ).
tcf(c_84126,plain,
( perp(sK20,sK25,sK25,sK21)
| ~ midp(sK21,sK20,sK25)
| ~ coll(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_84120,c_102]) ).
tcf(c_84127,plain,
( perp(sK20,sK25,sK25,sK21)
| ~ midp(sK21,sK20,sK25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_84126,c_4275]) ).
tcf(c_84142,plain,
! [X0: $i] :
( cong(sK20,X0,sK25,X0)
| ~ midp(sK21,sK20,sK25)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_84127,c_101]) ).
tcf(c_84683,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK25)
| ~ midp(sK21,sK20,sK25)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_84142,c_71]) ).
tcf(c_86383,plain,
! [X0: $i] :
( cong(X0,sK25,sK20,X0)
| ~ midp(sK21,sK20,sK25)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_84683,c_72]) ).
tcf(c_86487,plain,
( cong(sK20,sK25,sK20,sK20)
| ~ midp(sK21,sK20,sK25)
| ~ midp(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_86383]) ).
tcf(c_86983,plain,
( eqangle(sK20,sK20,sK20,sK21,sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_86985,plain,
( eqangle(sK20,sK20,sK20,sK22,sK20,sK22,sK20,sK22)
| ~ cong(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_88807,plain,
( circle(sK26,sK20,sK26,sK22)
| ~ midp(sK23,sK20,sK22) ),
inference(global_subsumption_just,[status(thm)],[c_76913,c_163,c_173,c_5797,c_5827,c_6013,c_6066,c_6178,c_6463,c_6464,c_7219,c_7495,c_7721,c_7763,c_9124,c_9726,c_9728,c_10026,c_10392,c_10593,c_12490,c_13303,c_13994,c_14078,c_14447,c_15094,c_16206,c_16451,c_16541,c_17987,c_18613,c_19542,c_21353,c_22630,c_32314,c_45472,c_76913]) ).
tcf(c_88813,plain,
( perp(sK20,sK26,sK26,sK22)
| ~ midp(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK22) ),
inference(superposition,[status(thm)],[c_88807,c_102]) ).
tcf(c_88814,plain,
( perp(sK20,sK26,sK26,sK22)
| ~ midp(sK23,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_88813,c_4273]) ).
tcf(c_89140,plain,
! [X0: $i] :
( cong(sK20,X0,sK26,X0)
| ~ midp(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_88814,c_101]) ).
tcf(c_89421,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK26)
| ~ midp(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_89140,c_71]) ).
tcf(c_89587,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ coll(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_60983,c_102]) ).
tcf(c_89588,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_89587,c_4275]) ).
tcf(c_89591,plain,
perp(sK20,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_89588,c_163,c_173,c_182,c_5806,c_5983,c_6013,c_6066,c_6463,c_6464,c_7219,c_7495,c_7721,c_7763,c_7858,c_9124,c_9728,c_10392,c_13994,c_14078,c_14447,c_15094,c_16541,c_22630,c_29150,c_32314,c_38117,c_42873,c_47268,c_48621,c_86983]) ).
tcf(c_89594,plain,
( cong(sK20,sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_89591,c_104]) ).
tcf(c_89595,plain,
perp(sK20,sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_89591,c_56]) ).
tcf(c_89842,plain,
para(sK25,sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_89595,c_57408]) ).
tcf(c_89926,plain,
! [X0: $i] :
( midp(X0,sK25,sK23)
| ~ coll(X0,sK25,sK23)
| ~ cong(X0,sK25,X0,sK23) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_89927,plain,
( midp(sK20,sK25,sK23)
| ~ coll(sK20,sK25,sK23)
| ~ cong(sK20,sK25,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_89926]) ).
tcf(c_89928,plain,
! [X0: $i] :
( midp(X0,sK26,sK23)
| ~ coll(X0,sK26,sK23)
| ~ cong(X0,sK26,X0,sK23) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_89929,plain,
( midp(sK20,sK26,sK23)
| ~ coll(sK20,sK26,sK23)
| ~ cong(sK20,sK26,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_89928]) ).
tcf(c_89930,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK23,X1)
| ~ coll(X0,sK23,X1)
| ~ cong(X0,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_89931,plain,
( midp(sK20,sK23,sK20)
| ~ coll(sK20,sK23,sK20)
| ~ cong(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89930]) ).
tcf(c_90191,plain,
para(sK20,sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_89842,c_53]) ).
tcf(c_90296,plain,
cong(sK20,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_89594,c_163,c_173,c_5806,c_5983,c_6013,c_6066,c_6463,c_6464,c_7219,c_7495,c_7721,c_7763,c_7858,c_9124,c_9728,c_10392,c_13994,c_14078,c_14447,c_15094,c_16541,c_22630,c_32314,c_42873]) ).
tcf(c_90300,plain,
( midp(sK20,sK20,sK21)
| ~ coll(sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_90296,c_116]) ).
tcf(c_90316,plain,
midp(sK20,sK20,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_90300,c_73798]) ).
tcf(c_91159,plain,
! [X0: $i] :
( cong(X0,sK26,sK20,X0)
| ~ midp(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_89421,c_72]) ).
tcf(c_91259,plain,
( cong(sK20,sK26,sK20,sK20)
| ~ midp(sK23,sK20,sK22)
| ~ midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_91159]) ).
tcf(c_94094,plain,
! [X0: $i] :
( midp(sK20,X0,sK23)
| ~ midp(sK20,X0,sK25)
| ~ coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_90191,c_94]) ).
tcf(c_94110,plain,
( midp(sK20,sK20,sK23)
| ~ midp(sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_94094]) ).
tcf(c_95623,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ midp(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK22) ),
inference(superposition,[status(thm)],[c_61022,c_102]) ).
tcf(c_95624,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ midp(sK23,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_95623,c_4273]) ).
tcf(c_95641,plain,
perp(sK20,sK20,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_95624,c_163,c_173,c_182,c_5807,c_6004,c_6013,c_6066,c_6463,c_6464,c_7219,c_7495,c_7721,c_7763,c_7880,c_7893,c_9124,c_9728,c_10392,c_13994,c_14078,c_14447,c_15094,c_16541,c_22630,c_29154,c_32314,c_38115,c_44164,c_47278,c_48623,c_86985]) ).
tcf(c_95644,plain,
( cong(sK20,sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_95641,c_104]) ).
tcf(c_97110,plain,
cong(sK20,sK20,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_95644,c_163,c_173,c_5807,c_6004,c_6013,c_6066,c_6463,c_6464,c_7219,c_7495,c_7721,c_7763,c_7893,c_9124,c_9728,c_10392,c_13994,c_14078,c_14447,c_15094,c_16541,c_22630,c_32314,c_44164]) ).
tcf(c_97114,plain,
( midp(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_97110,c_116]) ).
tcf(c_97130,plain,
midp(sK20,sK20,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_97114,c_75580]) ).
tcf(c_97257,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK26,sK20,sK23)
| ~ cong(sK20,sK26,X0,X1)
| ~ cong(X0,X1,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_97258,plain,
( cong(sK20,sK26,sK20,sK23)
| ~ cong(sK20,sK26,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_97257]) ).
tcf(c_97259,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK25,sK20,sK23)
| ~ cong(sK20,sK25,X0,X1)
| ~ cong(X0,X1,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_97260,plain,
( cong(sK20,sK25,sK20,sK23)
| ~ cong(sK20,sK25,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_97259]) ).
tcf(c_99023,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X1,X0)
| ~ midp(sK23,sK20,sK21)
| ~ midp(X1,sK20,sK21)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8238,c_8381]) ).
tcf(c_99120,plain,
( perp(sK20,sK24,sK22,sK20)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_99023,c_9645]) ).
tcf(c_99482,plain,
perp(sK20,sK24,sK22,sK20),
inference(global_subsumption_just,[status(thm)],[c_99120,c_163,c_173,c_182,c_5806,c_5983,c_6013,c_6066,c_6463,c_6464,c_7219,c_7495,c_7721,c_7763,c_7858,c_9124,c_9726,c_9728,c_9744,c_10392,c_10593,c_13303,c_13994,c_14078,c_14447,c_15094,c_16541,c_22630,c_29150,c_29206,c_32314,c_38117,c_42873,c_44792,c_48621,c_64220,c_64279,c_86983,c_89931]) ).
tcf(c_99484,plain,
perp(sK20,sK21,sK23,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_9651,c_99482]) ).
tcf(c_99487,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK24,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_99482,c_57]) ).
tcf(c_99498,plain,
( para(sK20,sK24,sK20,sK20)
| ~ perp(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_99487]) ).
tcf(c_100081,plain,
para(sK25,sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_99484,c_6576]) ).
tcf(c_100161,plain,
para(sK23,sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_100081,c_53]) ).
tcf(c_100452,plain,
para(sK23,sK20,sK23,sK25),
inference(superposition,[status(thm)],[c_100161,c_52]) ).
tcf(c_101152,plain,
! [X0: $i] :
( midp(X0,sK20,sK25)
| ~ midp(X0,sK23,sK23)
| ~ para(sK23,sK25,sK23,sK20) ),
inference(superposition,[status(thm)],[c_100452,c_113]) ).
tcf(c_101156,plain,
para(sK23,sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_100452,c_53]) ).
tcf(c_101166,plain,
! [X0: $i] :
( midp(X0,sK20,sK25)
| ~ midp(X0,sK23,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101152,c_101156]) ).
tcf(c_101169,plain,
( midp(sK20,sK20,sK25)
| ~ midp(sK20,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_101166]) ).
tcf(c_102267,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK26,sK25)
| ~ cong(X0,sK25,X1,sK25)
| ~ cong(X0,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_102268,plain,
( perp(sK20,sK20,sK26,sK25)
| ~ cong(sK20,sK25,sK20,sK25)
| ~ cong(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_102267]) ).
tcf(c_102269,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_102268,c_101169,c_99498,c_97260,c_97258,c_97130,c_94110,c_91259,c_90316,c_89929,c_89927,c_86985,c_86487,c_57794,c_48639,c_48619,c_46866,c_46831,c_44164,c_43223,c_39777,c_39368,c_38115,c_32314,c_29154,c_22630,c_18613,c_18612,c_17692,c_17614,c_16541,c_16523,c_16473,c_16206,c_15204,c_15205,c_15094,c_14447,c_14078,c_13994,c_13303,c_12490,c_10751,c_10593,c_10392,c_10144,c_10026,c_9973,c_9728,c_9726,c_9124,c_7893,c_7880,c_7842,c_7821,c_7763,c_7721,c_7495,c_7219,c_6464,c_6463,c_6066,c_6013,c_6004,c_5825,c_5807,c_182,c_173,c_163,c_162,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO636+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 12:35:51 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 22.32/4.29 % SZS status Started for theBenchmark.p
% 22.32/4.29 % SZS status Theorem for theBenchmark.p
% 22.32/4.29
% 22.32/4.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.32/4.29
% 22.32/4.29 % ------ iProver source info
% 22.32/4.29
% 22.32/4.29 % git: date: 2026-07-19 20:42:38 +0200
% 22.32/4.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.32/4.29 % git: non_committed_changes: false
% 22.32/4.29
% 22.32/4.29 % ------ Parsing...
% 22.32/4.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 22.32/4.29
% 22.32/4.29 % ------ 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 %
% 22.32/4.29
% 22.32/4.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 22.32/4.29
% 22.32/4.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 22.32/4.29 % ------ Proving...
% 22.32/4.29 % ------ Problem Properties
% 22.32/4.29
% 22.32/4.29 %
% 22.32/4.29 % clauses 118
% 22.32/4.29 % conjectures 6
% 22.32/4.29 % EPR 81
% 22.32/4.29 % Horn 108
% 22.32/4.29 % unary 6
% 22.32/4.29 % binary 37
% 22.32/4.29 % lits 334
% 22.32/4.29 % lits eq 4
% 22.32/4.29 % fd_pure 0
% 22.32/4.29 % fd_pseudo 0
% 22.32/4.29 % fd_cond 0
% 22.32/4.29 % fd_pseudo_cond 4
% 22.32/4.29 % AC symbols 0
% 22.32/4.29
% 22.32/4.29 % ------ Schedule dynamic 5 is on
% 22.32/4.29
% 22.32/4.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 22.32/4.29
% 22.32/4.29
% 22.32/4.29 % ------
% 22.32/4.29 % Current options:
% 22.32/4.29 % ------
% 22.32/4.29
% 22.32/4.29
% 22.32/4.29 %
% 22.32/4.29
% 22.32/4.29 % ------ Proving...
% 22.32/4.29 %
% 22.32/4.29
% 22.32/4.29 % SZS status Theorem for theBenchmark.p
% 22.32/4.29
% 22.32/4.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.38/4.30
% 26.38/4.30
%------------------------------------------------------------------------------