%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO588+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 : n001.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 01:21:33 PM UTC 2026
% Result : Theorem 121.71s 24.18s
% Output : CNFRefutation 79.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 39
% Syntax : Number of formulae : 1201 ( 356 unt; 0 def)
% Number of atoms : 2642 ( 8 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2759 (1318 ~;1321 |; 80 &)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-6 aty)
% Number of variables : 1549 ( 0 sgn1521 !; 28 ?; 869 :)
% 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(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(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(f42,axiom,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(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(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X8,X6,X7)
& coll(X8,X2,X4)
& midp(X7,X5,X1)
& midp(X6,X3,X0)
& coll(X5,X3,X2)
& circle(X4,X3,X5,X9)
& circle(X4,X0,X1,X3)
& perp(X0,X1,X2,X3)
& coll(X2,X0,X1) )
=> para(X6,X4,X2,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416050) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X8,X6,X7)
& coll(X8,X2,X4)
& midp(X7,X5,X1)
& midp(X6,X3,X0)
& coll(X5,X3,X2)
& circle(X4,X3,X5,X9)
& circle(X4,X0,X1,X3)
& perp(X0,X1,X2,X3)
& coll(X2,X0,X1) )
=> para(X6,X4,X2,X7) ),
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(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(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(f151,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(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(f164,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(flattening,[],[f164]) ).
fof(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(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(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(f201,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f224,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(flattening,[],[f224]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f241,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(flattening,[],[f241]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( coll(X8,X6,X7)
& coll(X8,X2,X4)
& midp(X7,X5,X1)
& midp(X6,X3,X0)
& coll(X5,X3,X2)
& circle(X4,X3,X5,X9)
& circle(X4,X0,X1,X3)
& perp(X0,X1,X2,X3)
& coll(X2,X0,X1)
& ~ para(X6,X4,X2,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( coll(X8,X6,X7)
& coll(X8,X2,X4)
& midp(X7,X5,X1)
& midp(X6,X3,X0)
& coll(X5,X3,X2)
& circle(X4,X3,X5,X9)
& circle(X4,X0,X1,X3)
& perp(X0,X1,X2,X3)
& coll(X2,X0,X1)
& ~ para(X6,X4,X2,X7) ),
inference(flattening,[],[f249]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X6,sK5(X0,X1,X2,X3,X4,X5))],[f225]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f242]) ).
fof(f270,plain,
( coll(sK28,sK26,sK27)
& coll(sK28,sK22,sK24)
& midp(sK27,sK25,sK21)
& midp(sK26,sK23,sK20)
& coll(sK25,sK23,sK22)
& circle(sK24,sK23,sK25,sK29)
& circle(sK24,sK20,sK21,sK23)
& perp(sK20,sK21,sK22,sK23)
& coll(sK22,sK20,sK21)
& ~ para(sK26,sK24,sK22,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29)],[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(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(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(f312,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(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(f319,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(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(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(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(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f357,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2) ),
inference(cnf_transformation,[],[f256]) ).
fof(f359,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f262]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f266]) ).
fof(f384,plain,
coll(sK28,sK26,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
coll(sK28,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
midp(sK27,sK25,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
midp(sK26,sK23,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK23,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
circle(sK24,sK23,sK25,sK29),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
circle(sK24,sK20,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
perp(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
coll(sK22,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ para(sK26,sK24,sK22,sK27),
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_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_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_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_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_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
| ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_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_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_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_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( midp(sK5(X1,X2,X4,X5,X0,X3),X1,X5)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(sK5(X1,X2,X4,X5,X0,X3),X3,X1,X4)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK11(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_162,negated_conjecture,
~ para(sK26,sK24,sK22,sK27),
inference(cnf_transformation,[],[f393]) ).
tcf(c_163,negated_conjecture,
coll(sK22,sK20,sK21),
inference(cnf_transformation,[],[f392]) ).
tcf(c_164,negated_conjecture,
perp(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f391]) ).
tcf(c_165,negated_conjecture,
circle(sK24,sK20,sK21,sK23),
inference(cnf_transformation,[],[f390]) ).
tcf(c_166,negated_conjecture,
circle(sK24,sK23,sK25,sK29),
inference(cnf_transformation,[],[f389]) ).
tcf(c_167,negated_conjecture,
coll(sK25,sK23,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_168,negated_conjecture,
midp(sK26,sK23,sK20),
inference(cnf_transformation,[],[f387]) ).
tcf(c_169,negated_conjecture,
midp(sK27,sK25,sK21),
inference(cnf_transformation,[],[f386]) ).
tcf(c_170,negated_conjecture,
coll(sK28,sK22,sK24),
inference(cnf_transformation,[],[f385]) ).
tcf(c_171,negated_conjecture,
coll(sK28,sK26,sK27),
inference(cnf_transformation,[],[f384]) ).
tcf(c_177,plain,
( midp(sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_181,plain,
( eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_186,plain,
( perp(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_235,plain,
( cong(sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK22,sK22)
| ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_2180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK11(X1,X2,X3,X0),X1,X1,X0)
| ( X3 != sK23 )
| ( X2 != sK21 )
| ( X1 != sK20 )
| ( X0 != sK24 ) ),
inference(resolution_lifted,[status(thm)],[c_148,c_165]) ).
tcf(c_2181,plain,
perp(sK11(sK20,sK21,sK23,sK24),sK20,sK20,sK24),
inference(unflattening,[status(thm)],[c_2180]) ).
tcf(c_2185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ( X3 != sK23 )
| ( X2 != sK21 )
| ( X1 != sK20 )
| ( X0 != sK24 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_165]) ).
tcf(c_2186,plain,
( perp(sK20,sK21,sK21,sK23)
| ~ coll(sK24,sK20,sK23) ),
inference(unflattening,[status(thm)],[c_2185]) ).
tcf(c_6376,plain,
( coll(sK22,sK21,sK20)
| ~ coll(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6378,plain,
( coll(sK28,sK24,sK22)
| ~ coll(sK28,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6380,plain,
( coll(sK20,sK22,sK21)
| ~ coll(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6381,plain,
( coll(sK23,sK25,sK22)
| ~ coll(sK25,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6384,plain,
( midp(sK26,sK20,sK23)
| ~ midp(sK26,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_6385,plain,
( midp(sK27,sK21,sK25)
| ~ midp(sK27,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_6391,plain,
( perp(sK22,sK23,sK20,sK21)
| ~ perp(sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_6394,plain,
! [X0: $i] :
( coll(X0,sK22,sK25)
| ~ coll(sK25,sK23,sK22)
| ~ coll(sK25,sK23,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6395,plain,
( coll(sK22,sK22,sK25)
| ~ coll(sK25,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_6394]) ).
tcf(c_6400,plain,
! [X0: $i,X1: $i] :
( para(X0,sK26,X1,sK20)
| ~ midp(sK26,sK23,sK20)
| ~ midp(X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_6402,plain,
! [X0: $i,X1: $i] :
( para(X0,sK27,X1,sK21)
| ~ midp(sK27,sK25,sK21)
| ~ midp(X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_6403,plain,
( para(sK22,sK27,sK22,sK21)
| ~ midp(sK27,sK25,sK21)
| ~ midp(sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_6402]) ).
tcf(c_6404,plain,
! [X0: $i,X1: $i] :
( para(X0,sK23,X1,sK20)
| ~ midp(sK26,sK23,sK20)
| ~ midp(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_6413,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK22,sK23)
| ~ perp(sK20,sK21,sK22,sK23)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_6414,plain,
( para(sK22,sK22,sK22,sK23)
| ~ perp(sK20,sK21,sK22,sK23)
| ~ perp(sK22,sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6413]) ).
tcf(c_6447,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK5(X1,X2,sK25,sK21,X0,sK27),sK27,X1,sK25)
| ~ midp(sK27,sK25,sK21)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_6463,plain,
! [X0: $i] :
( coll(X0,sK20,sK22)
| ~ coll(sK22,sK21,sK20)
| ~ coll(sK22,sK21,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6464,plain,
( coll(sK22,sK20,sK22)
| ~ coll(sK22,sK21,sK20)
| ~ coll(sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6463]) ).
tcf(c_6473,plain,
( coll(sK24,sK28,sK22)
| ~ coll(sK28,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6485,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_163,c_49]) ).
tcf(c_6486,plain,
coll(sK25,sK22,sK23),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_6487,plain,
coll(sK28,sK24,sK22),
inference(superposition,[status(thm)],[c_170,c_49]) ).
tcf(c_6488,plain,
coll(sK28,sK27,sK26),
inference(superposition,[status(thm)],[c_171,c_49]) ).
tcf(c_6490,plain,
( coll(sK20,sK21,sK22)
| ~ coll(sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6495,plain,
( coll(sK23,sK22,sK25)
| ~ coll(sK23,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6496,plain,
! [X0: $i] :
( coll(X0,sK22,sK23)
| ~ coll(sK23,sK25,sK22)
| ~ coll(sK23,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6497,plain,
( coll(sK22,sK22,sK23)
| ~ coll(sK23,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_6496]) ).
tcf(c_6502,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_163,c_50]) ).
tcf(c_6503,plain,
coll(sK23,sK25,sK22),
inference(superposition,[status(thm)],[c_167,c_50]) ).
tcf(c_6504,plain,
coll(sK22,sK28,sK24),
inference(superposition,[status(thm)],[c_170,c_50]) ).
tcf(c_6505,plain,
coll(sK26,sK28,sK27),
inference(superposition,[status(thm)],[c_171,c_50]) ).
tcf(c_6518,plain,
coll(sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_6485,c_50]) ).
tcf(c_6520,plain,
coll(sK22,sK25,sK23),
inference(superposition,[status(thm)],[c_6486,c_50]) ).
tcf(c_6527,plain,
! [X0: $i,X1: $i] :
( para(X0,sK26,X1,sK23)
| ~ midp(sK26,sK20,sK23)
| ~ midp(X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_6528,plain,
( para(sK22,sK26,sK22,sK23)
| ~ midp(sK22,sK20,sK22)
| ~ midp(sK26,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_6527]) ).
tcf(c_6531,plain,
! [X0: $i,X1: $i] :
( para(X0,sK20,X1,sK23)
| ~ midp(sK26,sK20,sK23)
| ~ midp(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_6535,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK5(X1,X2,sK20,sK23,X0,sK26),X1,sK23)
| ~ midp(sK26,sK20,sK23)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_6548,plain,
coll(sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_6502,c_49]) ).
tcf(c_6562,plain,
! [X0: $i,X1: $i] :
( para(X0,sK27,X1,sK25)
| ~ midp(sK27,sK21,sK25)
| ~ midp(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_6563,plain,
( para(sK22,sK27,sK22,sK25)
| ~ midp(sK27,sK21,sK25)
| ~ midp(sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6562]) ).
tcf(c_6586,plain,
midp(sK26,sK20,sK23),
inference(superposition,[status(thm)],[c_168,c_59]) ).
tcf(c_6587,plain,
midp(sK27,sK21,sK25),
inference(superposition,[status(thm)],[c_169,c_59]) ).
tcf(c_6590,plain,
coll(sK26,sK23,sK20),
inference(superposition,[status(thm)],[c_168,c_118]) ).
tcf(c_6591,plain,
coll(sK27,sK25,sK21),
inference(superposition,[status(thm)],[c_169,c_118]) ).
tcf(c_6604,plain,
coll(sK26,sK20,sK23),
inference(superposition,[status(thm)],[c_6586,c_118]) ).
tcf(c_6606,plain,
coll(sK27,sK21,sK25),
inference(superposition,[status(thm)],[c_6587,c_118]) ).
tcf(c_6614,plain,
coll(sK23,sK26,sK20),
inference(superposition,[status(thm)],[c_6590,c_50]) ).
tcf(c_6616,plain,
coll(sK25,sK27,sK21),
inference(superposition,[status(thm)],[c_6591,c_50]) ).
tcf(c_6618,plain,
coll(sK20,sK26,sK23),
inference(superposition,[status(thm)],[c_6604,c_50]) ).
tcf(c_6626,plain,
coll(sK21,sK27,sK25),
inference(superposition,[status(thm)],[c_6606,c_50]) ).
tcf(c_6631,plain,
coll(sK25,sK21,sK27),
inference(superposition,[status(thm)],[c_6616,c_49]) ).
tcf(c_6691,plain,
coll(sK20,sK23,sK26),
inference(superposition,[status(thm)],[c_6618,c_49]) ).
tcf(c_6706,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
tcf(c_6723,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6706,c_72]) ).
tcf(c_6763,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6723,c_71]) ).
tcf(c_6770,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X1,X0,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6763,c_72]) ).
tcf(c_6781,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
tcf(c_6782,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
tcf(c_6783,plain,
! [X0: $i] :
( coll(sK24,X0,sK28)
| ~ coll(sK28,sK22,X0) ),
inference(superposition,[status(thm)],[c_170,c_51]) ).
tcf(c_6784,plain,
! [X0: $i] :
( coll(sK27,X0,sK28)
| ~ coll(sK28,sK26,X0) ),
inference(superposition,[status(thm)],[c_171,c_51]) ).
tcf(c_6785,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_6485,c_51]) ).
tcf(c_6786,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_6486,c_51]) ).
tcf(c_6787,plain,
! [X0: $i] :
( coll(sK22,X0,sK28)
| ~ coll(sK28,sK24,X0) ),
inference(superposition,[status(thm)],[c_6487,c_51]) ).
tcf(c_6788,plain,
! [X0: $i] :
( coll(sK26,X0,sK28)
| ~ coll(sK28,sK27,X0) ),
inference(superposition,[status(thm)],[c_6488,c_51]) ).
tcf(c_6789,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_6502,c_51]) ).
tcf(c_6790,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_6503,c_51]) ).
tcf(c_6791,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK28,X0) ),
inference(superposition,[status(thm)],[c_6504,c_51]) ).
tcf(c_6792,plain,
! [X0: $i] :
( coll(sK27,X0,sK26)
| ~ coll(sK26,sK28,X0) ),
inference(superposition,[status(thm)],[c_6505,c_51]) ).
tcf(c_6793,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK23,X0) ),
inference(superposition,[status(thm)],[c_6590,c_51]) ).
tcf(c_6794,plain,
! [X0: $i] :
( coll(sK21,X0,sK27)
| ~ coll(sK27,sK25,X0) ),
inference(superposition,[status(thm)],[c_6591,c_51]) ).
tcf(c_6796,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_6518,c_51]) ).
tcf(c_6797,plain,
! [X0: $i] :
( coll(sK23,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_6520,c_51]) ).
tcf(c_6801,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_6548,c_51]) ).
tcf(c_6804,plain,
! [X0: $i] :
( coll(sK23,X0,sK26)
| ~ coll(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_6604,c_51]) ).
tcf(c_6806,plain,
! [X0: $i] :
( coll(sK25,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_6606,c_51]) ).
tcf(c_6809,plain,
! [X0: $i] :
( coll(sK20,X0,sK23)
| ~ coll(sK23,sK26,X0) ),
inference(superposition,[status(thm)],[c_6614,c_51]) ).
tcf(c_6810,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK27,X0) ),
inference(superposition,[status(thm)],[c_6616,c_51]) ).
tcf(c_6811,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_6618,c_51]) ).
tcf(c_6812,plain,
! [X0: $i] :
( coll(sK25,X0,sK21)
| ~ coll(sK21,sK27,X0) ),
inference(superposition,[status(thm)],[c_6626,c_51]) ).
tcf(c_6814,plain,
! [X0: $i] :
( coll(sK27,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_6631,c_51]) ).
tcf(c_6815,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK23,X0) ),
inference(superposition,[status(thm)],[c_6691,c_51]) ).
tcf(c_6819,plain,
( coll(sK27,sK22,sK25)
| ~ coll(sK25,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6814]) ).
tcf(c_6826,plain,
( coll(sK25,sK22,sK27)
| ~ coll(sK27,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6806]) ).
tcf(c_6828,plain,
( coll(sK23,sK22,sK26)
| ~ coll(sK26,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6804]) ).
tcf(c_6830,plain,
( coll(sK22,sK22,sK20)
| ~ coll(sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6801]) ).
tcf(c_6834,plain,
( coll(sK23,sK22,sK22)
| ~ coll(sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_6797]) ).
tcf(c_6839,plain,
( coll(sK24,sK22,sK22)
| ~ coll(sK22,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_6791]) ).
tcf(c_6841,plain,
( coll(sK20,sK22,sK22)
| ~ coll(sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6785]) ).
tcf(c_6872,plain,
! [X0: $i,X1: $i] :
( perp(sK16(sK11(sK20,sK21,sK23,sK24),sK24,sK20,X0,X1),sK11(sK20,sK21,sK23,sK24),X0,X1)
| ~ coll(sK24,X0,X1)
| ~ perp(sK11(sK20,sK21,sK23,sK24),sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_6877,plain,
( perp(sK16(sK11(sK20,sK21,sK23,sK24),sK24,sK20,sK22,sK22),sK11(sK20,sK21,sK23,sK24),sK22,sK22)
| ~ coll(sK24,sK22,sK22)
| ~ perp(sK11(sK20,sK21,sK23,sK24),sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_6872]) ).
tcf(c_6910,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_163,c_6781]) ).
tcf(c_6911,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6910,c_51]) ).
tcf(c_6913,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_6910,c_49]) ).
tcf(c_6916,plain,
coll(sK22,sK21,sK21),
inference(superposition,[status(thm)],[c_6913,c_50]) ).
tcf(c_6920,plain,
! [X0: $i] :
( coll(X0,sK25,sK22)
| ~ coll(X0,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6921,plain,
( coll(sK22,sK25,sK22)
| ~ coll(sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_6920]) ).
tcf(c_6925,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_6916,c_51]) ).
tcf(c_6928,plain,
( coll(sK21,sK22,sK22)
| ~ coll(sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6925]) ).
tcf(c_6931,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_167,c_6782]) ).
tcf(c_6935,plain,
! [X0: $i] :
( coll(sK25,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6931,c_51]) ).
tcf(c_6937,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_6931,c_49]) ).
tcf(c_6942,plain,
coll(sK24,sK24,sK28),
inference(superposition,[status(thm)],[c_170,c_6783]) ).
tcf(c_6946,plain,
coll(sK24,sK28,sK24),
inference(superposition,[status(thm)],[c_6942,c_49]) ).
tcf(c_6947,plain,
( para(sK27,sK27,sK21,sK21)
| ~ midp(sK27,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_6402]) ).
tcf(c_6952,plain,
coll(sK27,sK27,sK28),
inference(superposition,[status(thm)],[c_171,c_6784]) ).
tcf(c_6955,plain,
! [X0: $i] :
( coll(sK28,X0,sK27)
| ~ coll(sK27,sK27,X0) ),
inference(superposition,[status(thm)],[c_6952,c_51]) ).
tcf(c_6959,plain,
( para(sK22,sK23,sK22,sK23)
| ~ perp(sK20,sK21,sK22,sK23)
| ~ perp(sK22,sK23,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6413]) ).
tcf(c_6973,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_6937,c_51]) ).
tcf(c_6974,plain,
coll(sK25,sK22,sK22),
inference(superposition,[status(thm)],[c_6937,c_50]) ).
tcf(c_6976,plain,
( coll(sK22,sK22,sK22)
| ~ coll(sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_6973]) ).
tcf(c_6977,plain,
! [X0: $i] :
( coll(sK24,X0,sK24)
| ~ coll(sK24,sK28,X0) ),
inference(superposition,[status(thm)],[c_6946,c_51]) ).
tcf(c_7018,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_6485,c_6785]) ).
tcf(c_7033,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_7018,c_51]) ).
tcf(c_7035,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_7018,c_49]) ).
tcf(c_7039,plain,
coll(sK23,sK23,sK25),
inference(superposition,[status(thm)],[c_6486,c_6786]) ).
tcf(c_7041,plain,
! [X0: $i] :
( coll(sK25,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_7039,c_51]) ).
tcf(c_7043,plain,
coll(sK23,sK25,sK23),
inference(superposition,[status(thm)],[c_7039,c_49]) ).
tcf(c_7059,plain,
coll(sK22,sK22,sK28),
inference(superposition,[status(thm)],[c_6487,c_6787]) ).
tcf(c_7061,plain,
! [X0: $i] :
( coll(sK28,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_7059,c_51]) ).
tcf(c_7063,plain,
coll(sK22,sK28,sK22),
inference(superposition,[status(thm)],[c_7059,c_49]) ).
tcf(c_7067,plain,
coll(sK26,sK26,sK28),
inference(superposition,[status(thm)],[c_6488,c_6788]) ).
tcf(c_7071,plain,
coll(sK26,sK28,sK26),
inference(superposition,[status(thm)],[c_7067,c_49]) ).
tcf(c_7098,plain,
! [X0: $i,X1: $i] :
( para(sK26,X0,sK20,X1)
| ~ midp(X0,sK23,X1) ),
inference(superposition,[status(thm)],[c_168,c_93]) ).
tcf(c_7099,plain,
! [X0: $i,X1: $i] :
( para(sK27,X0,sK21,X1)
| ~ midp(X0,sK25,X1) ),
inference(superposition,[status(thm)],[c_169,c_93]) ).
tcf(c_7100,plain,
! [X0: $i,X1: $i] :
( para(sK26,X0,sK23,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_6586,c_93]) ).
tcf(c_7117,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_163,c_49]) ).
tcf(c_7118,plain,
coll(sK25,sK22,sK23),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_7123,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_163,c_50]) ).
tcf(c_7124,plain,
coll(sK23,sK25,sK22),
inference(superposition,[status(thm)],[c_167,c_50]) ).
tcf(c_7125,plain,
coll(sK22,sK28,sK24),
inference(superposition,[status(thm)],[c_170,c_50]) ).
tcf(c_7126,plain,
coll(sK26,sK28,sK27),
inference(superposition,[status(thm)],[c_171,c_50]) ).
tcf(c_7135,plain,
coll(sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_7117,c_50]) ).
tcf(c_7137,plain,
coll(sK22,sK25,sK23),
inference(superposition,[status(thm)],[c_7118,c_50]) ).
tcf(c_7144,plain,
coll(sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_7123,c_49]) ).
tcf(c_7153,plain,
midp(sK26,sK20,sK23),
inference(superposition,[status(thm)],[c_168,c_59]) ).
tcf(c_7154,plain,
midp(sK27,sK21,sK25),
inference(superposition,[status(thm)],[c_169,c_59]) ).
tcf(c_7157,plain,
coll(sK26,sK23,sK20),
inference(superposition,[status(thm)],[c_168,c_118]) ).
tcf(c_7158,plain,
coll(sK27,sK25,sK21),
inference(superposition,[status(thm)],[c_169,c_118]) ).
tcf(c_7165,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_7123,c_6789]) ).
tcf(c_7169,plain,
coll(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_7124,c_6790]) ).
tcf(c_7173,plain,
coll(sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_7125,c_6791]) ).
tcf(c_7177,plain,
coll(sK27,sK27,sK26),
inference(superposition,[status(thm)],[c_7126,c_6792]) ).
tcf(c_7178,plain,
coll(sK27,sK26,sK26),
inference(superposition,[status(thm)],[c_7071,c_6792]) ).
tcf(c_7179,plain,
coll(sK26,sK20,sK23),
inference(superposition,[status(thm)],[c_7153,c_118]) ).
tcf(c_7181,plain,
coll(sK27,sK21,sK25),
inference(superposition,[status(thm)],[c_7154,c_118]) ).
tcf(c_7183,plain,
coll(sK23,sK26,sK20),
inference(superposition,[status(thm)],[c_7157,c_50]) ).
tcf(c_7185,plain,
coll(sK25,sK27,sK21),
inference(superposition,[status(thm)],[c_7158,c_50]) ).
tcf(c_7194,plain,
coll(sK22,sK23,sK25),
inference(superposition,[status(thm)],[c_7137,c_49]) ).
tcf(c_7198,plain,
! [X0: $i,X1: $i] :
( para(sK27,X0,X1,sK21)
| ~ midp(X0,sK25,X1) ),
inference(superposition,[status(thm)],[c_7099,c_52]) ).
tcf(c_7209,plain,
perp(sK20,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_164,c_55]) ).
tcf(c_7212,plain,
perp(sK22,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_7215,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_7157,c_6793]) ).
tcf(c_7218,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_7158,c_6794]) ).
tcf(c_7223,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_7135,c_6796]) ).
tcf(c_7224,plain,
perp(sK23,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_7209,c_56]) ).
tcf(c_7227,plain,
perp(sK22,sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_7212,c_55]) ).
tcf(c_7252,plain,
coll(sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_7137,c_6797]) ).
tcf(c_7262,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_7165,c_49]) ).
tcf(c_7266,plain,
coll(sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_7173,c_49]) ).
tcf(c_7269,plain,
coll(sK20,sK26,sK23),
inference(superposition,[status(thm)],[c_7179,c_50]) ).
tcf(c_7274,plain,
coll(sK23,sK20,sK26),
inference(superposition,[status(thm)],[c_7183,c_49]) ).
tcf(c_7279,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X2,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
tcf(c_7285,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
tcf(c_7286,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
tcf(c_7315,plain,
! [X0: $i] :
( coll(sK23,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_7043,c_51]) ).
tcf(c_7317,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_7165,c_51]) ).
tcf(c_7318,plain,
! [X0: $i] :
( coll(sK26,X0,sK27)
| ~ coll(sK27,sK27,X0) ),
inference(superposition,[status(thm)],[c_7177,c_51]) ).
tcf(c_7321,plain,
( coll(sK23,sK22,sK23)
| ~ coll(sK23,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_7315]) ).
tcf(c_7340,plain,
( para(sK5(sK23,sK20,sK25,sK21,sK26,sK27),sK27,sK23,sK25)
| ~ midp(sK27,sK25,sK21)
| ~ midp(sK26,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_6447]) ).
tcf(c_7348,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_7144,c_6801]) ).
tcf(c_7361,plain,
coll(sK23,sK23,sK26),
inference(superposition,[status(thm)],[c_7179,c_6804]) ).
tcf(c_7366,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_163,c_7285]) ).
tcf(c_7393,plain,
coll(sK22,sK21,sK20),
inference(resolution,[status(thm)],[c_49,c_163]) ).
tcf(c_7394,plain,
coll(sK25,sK22,sK23),
inference(resolution,[status(thm)],[c_49,c_167]) ).
tcf(c_7402,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_167,c_7286]) ).
tcf(c_7477,plain,
coll(sK23,sK25,sK22),
inference(resolution,[status(thm)],[c_50,c_167]) ).
tcf(c_7488,plain,
coll(sK25,sK25,sK27),
inference(superposition,[status(thm)],[c_7181,c_6806]) ).
tcf(c_7496,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_7215,c_51]) ).
tcf(c_7499,plain,
( coll(sK26,sK22,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7496]) ).
tcf(c_7503,plain,
! [X0: $i] :
( coll(sK27,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_7218,c_51]) ).
tcf(c_7505,plain,
coll(sK21,sK27,sK21),
inference(superposition,[status(thm)],[c_7218,c_49]) ).
tcf(c_7506,plain,
( coll(sK27,sK22,sK21)
| ~ coll(sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_7503]) ).
tcf(c_7573,plain,
perp(sK21,sK20,sK22,sK23),
inference(superposition,[status(thm)],[c_7227,c_56]) ).
tcf(c_7587,plain,
coll(sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_7183,c_6809]) ).
tcf(c_7590,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_7185,c_6810]) ).
tcf(c_7595,plain,
midp(sK26,sK20,sK23),
inference(resolution,[status(thm)],[c_59,c_168]) ).
tcf(c_7596,plain,
midp(sK27,sK21,sK25),
inference(resolution,[status(thm)],[c_59,c_169]) ).
tcf(c_7603,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_7366,c_6911]) ).
tcf(c_7605,plain,
coll(sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_7218,c_6911]) ).
tcf(c_7608,plain,
coll(sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_7603,c_49]) ).
tcf(c_7614,plain,
coll(sK26,sK23,sK20),
inference(resolution,[status(thm)],[c_118,c_168]) ).
tcf(c_7615,plain,
coll(sK27,sK25,sK21),
inference(resolution,[status(thm)],[c_118,c_169]) ).
tcf(c_7631,plain,
! [X0: $i] :
( midp(X0,sK21,sK27)
| ~ midp(X0,sK27,sK21)
| ~ para(sK27,sK21,sK21,sK27)
| ~ para(sK27,sK27,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_7643,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_7402,c_6935]) ).
tcf(c_7645,plain,
coll(sK25,sK21,sK22),
inference(superposition,[status(thm)],[c_7603,c_6935]) ).
tcf(c_7648,plain,
coll(sK25,sK22,sK25),
inference(superposition,[status(thm)],[c_7643,c_49]) ).
tcf(c_7718,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X0,X1)
| ~ cong(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_87]) ).
tcf(c_7723,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK20,X1)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_112]) ).
tcf(c_7724,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK21,X1)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_169,c_112]) ).
tcf(c_7726,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK25,X1)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_7154,c_112]) ).
tcf(c_7793,plain,
coll(sK25,sK27,sK21),
inference(resolution,[status(thm)],[c_7615,c_50]) ).
tcf(c_7858,plain,
( perp(sK20,sK21,sK21,sK23)
| ~ coll(sK24,sK20,sK23) ),
inference(superposition,[status(thm)],[c_165,c_102]) ).
tcf(c_7859,plain,
( perp(sK23,sK25,sK25,sK29)
| ~ coll(sK24,sK23,sK29) ),
inference(superposition,[status(thm)],[c_166,c_102]) ).
tcf(c_7888,plain,
perp(sK20,sK21,sK23,sK22),
inference(resolution,[status(thm)],[c_55,c_164]) ).
tcf(c_7893,plain,
( cong(sK20,sK22,sK20,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_164,c_104]) ).
tcf(c_7894,plain,
( cong(sK20,sK23,sK20,sK22)
| ~ midp(sK21,sK23,sK22) ),
inference(superposition,[status(thm)],[c_7209,c_104]) ).
tcf(c_7895,plain,
( cong(sK22,sK20,sK22,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7212,c_104]) ).
tcf(c_7896,plain,
( cong(sK23,sK20,sK23,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7224,c_104]) ).
tcf(c_7897,plain,
( cong(sK22,sK21,sK22,sK20)
| ~ midp(sK23,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7227,c_104]) ).
tcf(c_7903,plain,
perp(sK22,sK23,sK20,sK21),
inference(resolution,[status(thm)],[c_56,c_164]) ).
tcf(c_7913,plain,
perp(sK23,sK22,sK20,sK21),
inference(resolution,[status(thm)],[c_7888,c_56]) ).
tcf(c_7972,plain,
( perp(sK20,sK21,sK23,sK21)
| ~ coll(sK24,sK20,sK23) ),
inference(superposition,[status(thm)],[c_7858,c_55]) ).
tcf(c_7973,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ coll(sK24,sK20,sK23)
| ~ midp(X0,sK20,sK23) ),
inference(superposition,[status(thm)],[c_7858,c_101]) ).
tcf(c_8008,plain,
( midp(sK20,sK22,sK23)
| ~ midp(sK21,sK22,sK23)
| ~ coll(sK20,sK22,sK23) ),
inference(superposition,[status(thm)],[c_7893,c_116]) ).
tcf(c_8058,plain,
! [X0: $i,X1: $i] :
( para(X1,sK21,sK27,X0)
| ~ midp(X0,sK25,X1) ),
inference(superposition,[status(thm)],[c_7198,c_53]) ).
tcf(c_8123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK26,X3,X1,X2)
| ~ midp(X3,sK23,X0)
| ~ para(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7098,c_54]) ).
tcf(c_8131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK23,X3,X1,X2)
| ~ midp(sK26,X3,X0)
| ~ para(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7723,c_54]) ).
tcf(c_8132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK25,X3,X1,X2)
| ~ midp(sK27,X3,X0)
| ~ para(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7724,c_54]) ).
tcf(c_8231,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
tcf(c_8233,plain,
! [X0: $i,X1: $i] :
( para(sK23,sK25,X0,X1)
| ~ coll(sK24,sK23,sK29)
| ~ perp(sK25,sK29,X0,X1) ),
inference(superposition,[status(thm)],[c_7859,c_57]) ).
tcf(c_8235,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7212,c_57]) ).
tcf(c_8236,plain,
! [X0: $i,X1: $i] :
( para(sK23,sK22,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7224,c_57]) ).
tcf(c_8240,plain,
( para(sK22,sK23,sK22,sK22)
| ~ perp(sK20,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_8235]) ).
tcf(c_8270,plain,
! [X0: $i] :
( coll(X0,sK21,sK22)
| ~ coll(sK22,sK20,X0) ),
inference(resolution,[status(thm)],[c_51,c_163]) ).
tcf(c_8275,plain,
! [X0: $i] :
( coll(X0,sK20,sK22)
| ~ coll(sK22,sK21,X0) ),
inference(resolution,[status(thm)],[c_51,c_7393]) ).
tcf(c_8277,plain,
! [X0: $i] :
( coll(X0,sK23,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(resolution,[status(thm)],[c_51,c_7394]) ).
tcf(c_8282,plain,
! [X0: $i] :
( coll(X0,sK22,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(resolution,[status(thm)],[c_51,c_7477]) ).
tcf(c_8287,plain,
! [X0: $i] :
( coll(X0,sK20,sK26)
| ~ coll(sK26,sK23,X0) ),
inference(resolution,[status(thm)],[c_51,c_7614]) ).
tcf(c_8289,plain,
! [X0: $i] :
( coll(X0,sK21,sK27)
| ~ coll(sK27,sK25,X0) ),
inference(resolution,[status(thm)],[c_51,c_7615]) ).
tcf(c_8312,plain,
! [X0: $i] :
( coll(X0,sK21,sK25)
| ~ coll(sK25,sK27,X0) ),
inference(resolution,[status(thm)],[c_51,c_7793]) ).
tcf(c_8358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK26,X3,X1,X2)
| ~ midp(X3,sK23,X0)
| ~ perp(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7098,c_58]) ).
tcf(c_8366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK23,X3,X1,X2)
| ~ midp(sK26,X3,X0)
| ~ perp(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7723,c_58]) ).
tcf(c_8410,plain,
! [X0: $i] :
( circle(sK20,sK22,X0,sK23)
| ~ midp(sK21,sK22,sK23)
| ~ cong(sK20,sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_7893,c_60]) ).
tcf(c_8428,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_7227,c_8231]) ).
tcf(c_8436,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_8428,c_53]) ).
tcf(c_8471,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,X1,sK25)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_7726,c_52]) ).
tcf(c_8498,plain,
( para(sK23,sK25,sK5(sK23,sK20,sK25,sK21,sK26,sK27),sK27)
| ~ para(sK5(sK23,sK20,sK25,sK21,sK26,sK27),sK27,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_8506,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK23,sK25)
| ~ para(sK5(sK23,sK20,sK25,sK21,sK26,sK27),sK27,sK23,sK25)
| ~ para(X0,X1,sK5(sK23,sK20,sK25,sK21,sK26,sK27),sK27) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_8542,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK22,X0,X1)
| ~ midp(sK21,sK22,sK23)
| ~ cong(sK20,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_7893,c_73]) ).
tcf(c_8578,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_7215,c_7033]) ).
tcf(c_8584,plain,
coll(sK28,sK23,sK22),
inference(superposition,[status(thm)],[c_7169,c_7061]) ).
tcf(c_8596,plain,
( cong(sK20,sK22,sK20,sK23)
| ~ midp(sK21,sK23,sK22) ),
inference(superposition,[status(thm)],[c_7894,c_72]) ).
tcf(c_8629,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ coll(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7895,c_116]) ).
tcf(c_8633,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8629,c_163]) ).
tcf(c_8719,plain,
coll(sK21,sK21,sK22),
inference(resolution,[status(thm)],[c_8270,c_163]) ).
tcf(c_8760,plain,
! [X0: $i] :
( coll(X0,sK22,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(resolution,[status(thm)],[c_8719,c_51]) ).
tcf(c_8768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_67]) ).
tcf(c_8822,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,X1)
| ~ midp(X1,X0,X0)
| ~ coll(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_6770,c_116]) ).
tcf(c_8871,plain,
( cong(sK21,sK22,sK21,sK23)
| ~ midp(sK20,sK22,sK23) ),
inference(superposition,[status(thm)],[c_7573,c_104]) ).
tcf(c_8928,plain,
para(sK22,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_7209,c_8235]) ).
tcf(c_8929,plain,
( para(sK22,sK23,sK23,sK21)
| ~ coll(sK24,sK20,sK23) ),
inference(superposition,[status(thm)],[c_7972,c_8235]) ).
tcf(c_8969,plain,
para(sK23,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_8928,c_53]) ).
tcf(c_8991,plain,
coll(sK20,sK20,sK22),
inference(resolution,[status(thm)],[c_8275,c_7393]) ).
tcf(c_8999,plain,
! [X0: $i] :
( coll(X0,sK22,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(resolution,[status(thm)],[c_8991,c_51]) ).
tcf(c_9180,plain,
perp(sK20,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_164,c_55]) ).
tcf(c_9183,plain,
perp(sK22,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_9447,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK20,X1)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_112]) ).
tcf(c_9448,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK21,X1)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_169,c_112]) ).
tcf(c_9494,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,X1,sK20)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_9447,c_52]) ).
tcf(c_9574,plain,
( cong(sK20,sK22,sK20,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_164,c_104]) ).
tcf(c_9593,plain,
coll(sK22,sK22,sK23),
inference(resolution,[status(thm)],[c_8282,c_7477]) ).
tcf(c_9594,plain,
! [X0: $i] :
( coll(sK26,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_7361,c_51]) ).
tcf(c_9597,plain,
( coll(sK26,sK22,sK23)
| ~ coll(sK23,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_9594]) ).
tcf(c_9602,plain,
! [X0: $i] :
( coll(X0,sK23,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(resolution,[status(thm)],[c_9593,c_51]) ).
tcf(c_9622,plain,
! [X0: $i] :
( coll(sK24,sK20,sK23)
| ~ coll(sK23,X0,sK20)
| ~ coll(sK23,X0,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_9623,plain,
( coll(sK24,sK20,sK23)
| ~ coll(sK23,sK22,sK20)
| ~ coll(sK23,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_9622]) ).
tcf(c_9734,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
tcf(c_9738,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_9183,c_57]) ).
tcf(c_9745,plain,
coll(sK20,sK20,sK26),
inference(resolution,[status(thm)],[c_8287,c_7614]) ).
tcf(c_9787,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_9183,c_9734]) ).
tcf(c_9874,plain,
! [X0: $i,X1: $i] :
( para(X0,sK26,X1,sK20)
| ~ midp(X0,sK23,X1) ),
inference(resolution,[status(thm)],[c_93,c_168]) ).
tcf(c_9876,plain,
! [X0: $i,X1: $i] :
( para(X0,sK27,X1,sK21)
| ~ midp(X0,sK25,X1) ),
inference(resolution,[status(thm)],[c_93,c_169]) ).
tcf(c_9878,plain,
! [X0: $i,X1: $i] :
( para(X0,sK26,X1,sK23)
| ~ midp(X0,sK20,X1) ),
inference(resolution,[status(thm)],[c_93,c_7595]) ).
tcf(c_9880,plain,
! [X0: $i,X1: $i] :
( para(X0,sK27,X1,sK25)
| ~ midp(X0,sK21,X1) ),
inference(resolution,[status(thm)],[c_93,c_7596]) ).
tcf(c_9966,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_7587,c_51]) ).
tcf(c_9969,plain,
( coll(sK23,sK22,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_9966]) ).
tcf(c_10009,plain,
! [X0: $i,X1: $i] :
( para(X0,sK23,X1,sK20)
| ~ midp(sK26,X0,X1) ),
inference(resolution,[status(thm)],[c_112,c_168]) ).
tcf(c_10011,plain,
! [X0: $i,X1: $i] :
( para(X0,sK25,X1,sK21)
| ~ midp(sK27,X0,X1) ),
inference(resolution,[status(thm)],[c_112,c_169]) ).
tcf(c_10065,plain,
para(sK22,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_9180,c_9738]) ).
tcf(c_10125,plain,
coll(sK21,sK21,sK27),
inference(resolution,[status(thm)],[c_8289,c_7615]) ).
tcf(c_10143,plain,
coll(sK22,sK22,sK21),
inference(resolution,[status(thm)],[c_8760,c_8719]) ).
tcf(c_10145,plain,
coll(sK27,sK22,sK21),
inference(resolution,[status(thm)],[c_8760,c_10125]) ).
tcf(c_10308,plain,
! [X0: $i] :
( midp(sK23,X0,sK23)
| ~ midp(sK22,X0,sK22)
| ~ coll(sK23,X0,sK23)
| ~ para(sK22,sK23,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_10314,plain,
( midp(sK23,sK22,sK23)
| ~ midp(sK22,sK22,sK22)
| ~ coll(sK23,sK22,sK23)
| ~ para(sK22,sK23,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_10308]) ).
tcf(c_10319,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK23,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_10320,plain,
( midp(sK22,sK23,sK23)
| ~ midp(sK22,sK22,sK22)
| ~ para(sK22,sK23,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_10319]) ).
tcf(c_10421,plain,
! [X0: $i,X1: $i] :
( para(X0,sK26,sK20,X1)
| ~ midp(X0,sK23,X1) ),
inference(resolution,[status(thm)],[c_52,c_9874]) ).
tcf(c_10423,plain,
! [X0: $i,X1: $i] :
( para(X0,sK27,sK21,X1)
| ~ midp(X0,sK25,X1) ),
inference(resolution,[status(thm)],[c_52,c_9876]) ).
tcf(c_10427,plain,
! [X0: $i,X1: $i] :
( para(X0,sK25,sK21,X1)
| ~ midp(sK27,X0,X1) ),
inference(resolution,[status(thm)],[c_52,c_10011]) ).
tcf(c_10429,plain,
! [X0: $i,X1: $i] :
( para(X0,sK26,sK23,X1)
| ~ midp(X0,sK20,X1) ),
inference(resolution,[status(thm)],[c_52,c_9878]) ).
tcf(c_10506,plain,
! [X0: $i,X1: $i] :
( para(X1,sK20,X0,sK26)
| ~ midp(X0,sK23,X1) ),
inference(resolution,[status(thm)],[c_53,c_9874]) ).
tcf(c_10507,plain,
( para(sK22,sK20,sK22,sK26)
| ~ midp(sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_10506]) ).
tcf(c_10508,plain,
! [X0: $i,X1: $i] :
( para(X1,sK21,X0,sK27)
| ~ midp(X0,sK25,X1) ),
inference(resolution,[status(thm)],[c_53,c_9876]) ).
tcf(c_10512,plain,
! [X0: $i,X1: $i] :
( para(X1,sK23,X0,sK26)
| ~ midp(X0,sK20,X1) ),
inference(resolution,[status(thm)],[c_53,c_9878]) ).
tcf(c_10700,plain,
! [X0: $i,X1: $i] :
( para(X0,sK27,sK25,X1)
| ~ midp(X0,sK21,X1) ),
inference(resolution,[status(thm)],[c_9880,c_52]) ).
tcf(c_10701,plain,
! [X0: $i,X1: $i] :
( para(X1,sK25,X0,sK27)
| ~ midp(X0,sK21,X1) ),
inference(resolution,[status(thm)],[c_9880,c_53]) ).
tcf(c_10725,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_10729,plain,
( cyclic(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10725]) ).
tcf(c_10736,plain,
! [X0: $i,X1: $i] :
( para(sK20,X1,X0,sK26)
| ~ midp(X0,sK23,X1) ),
inference(resolution,[status(thm)],[c_10421,c_53]) ).
tcf(c_10777,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK26,X1,sK20)
| ~ midp(X0,sK23,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7098,c_94]) ).
tcf(c_10790,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,sK20)
| ~ midp(sK23,X1,X2)
| ~ midp(sK26,X0,X2)
| ~ coll(X0,X1,sK20) ),
inference(superposition,[status(thm)],[c_9494,c_94]) ).
tcf(c_10796,plain,
! [X0: $i] :
( midp(sK23,X0,sK22)
| ~ midp(sK22,X0,sK23)
| ~ coll(sK23,X0,sK22) ),
inference(superposition,[status(thm)],[c_10065,c_94]) ).
tcf(c_10797,plain,
( midp(sK23,sK22,sK22)
| ~ midp(sK22,sK22,sK23)
| ~ coll(sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10796]) ).
tcf(c_10804,plain,
( midp(sK22,sK22,sK20)
| ~ midp(sK23,sK22,sK22)
| ~ midp(sK26,sK22,sK22)
| ~ coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_10790]) ).
tcf(c_10954,plain,
( perp(sK20,sK21,sK21,sK23)
| ~ coll(sK24,sK20,sK23) ),
inference(resolution,[status(thm)],[c_102,c_165]) ).
tcf(c_11327,plain,
! [X0: $i] :
( midp(sK22,X0,sK23)
| ~ midp(sK23,X0,sK22)
| ~ coll(sK22,X0,sK23) ),
inference(superposition,[status(thm)],[c_8969,c_94]) ).
tcf(c_11334,plain,
( midp(sK22,sK22,sK23)
| ~ midp(sK23,sK22,sK22)
| ~ coll(sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_11327]) ).
tcf(c_11341,plain,
( coll(sK25,sK23,sK21)
| ~ coll(sK23,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_11400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,sK21)
| ~ midp(sK27,X2,X3)
| ~ para(X0,X1,X2,sK25) ),
inference(resolution,[status(thm)],[c_54,c_10011]) ).
tcf(c_11607,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK21)
| ~ perp(X0,X1,sK22,sK23) ),
inference(resolution,[status(thm)],[c_57,c_7903]) ).
tcf(c_11710,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_7269,c_6811]) ).
tcf(c_11721,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK22,sK23)
| ~ para(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_58,c_164]) ).
tcf(c_11725,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ para(X0,X1,sK22,sK23) ),
inference(resolution,[status(thm)],[c_58,c_7903]) ).
tcf(c_11785,plain,
( circle(sK20,sK22,sK23,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_9574,c_8410]) ).
tcf(c_11795,plain,
( perp(sK22,sK23,sK23,sK23)
| ~ midp(sK21,sK22,sK23)
| ~ coll(sK20,sK22,sK23) ),
inference(superposition,[status(thm)],[c_11785,c_102]) ).
tcf(c_11976,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK23,X0,X1)
| ~ para(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_11721,c_56]) ).
tcf(c_11979,plain,
( perp(sK22,sK23,sK22,sK22)
| ~ para(sK22,sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_11976]) ).
tcf(c_12062,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK16(sK11(sK20,sK21,sK23,sK24),sK24,sK20,X0,X1),sK11(sK20,sK21,sK23,sK24))
| ~ perp(sK16(sK11(sK20,sK21,sK23,sK24),sK24,sK20,X0,X1),sK11(sK20,sK21,sK23,sK24),X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_12064,plain,
( perp(sK22,sK22,sK16(sK11(sK20,sK21,sK23,sK24),sK24,sK20,sK22,sK22),sK11(sK20,sK21,sK23,sK24))
| ~ perp(sK16(sK11(sK20,sK21,sK23,sK24),sK24,sK20,sK22,sK22),sK11(sK20,sK21,sK23,sK24),sK22,sK22) ),
inference(instantiation,[status(thm)],[c_12062]) ).
tcf(c_12066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK20,sK21,sK23,sK24),sK24,sK20,X0,X1),sK11(sK20,sK21,sK23,sK24))
| ~ perp(sK16(sK11(sK20,sK21,sK23,sK24),sK24,sK20,X0,X1),sK11(sK20,sK21,sK23,sK24),X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_12067,plain,
( para(sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK16(sK11(sK20,sK21,sK23,sK24),sK24,sK20,sK22,sK22),sK11(sK20,sK21,sK23,sK24))
| ~ perp(sK16(sK11(sK20,sK21,sK23,sK24),sK24,sK20,sK22,sK22),sK11(sK20,sK21,sK23,sK24),sK22,sK22) ),
inference(instantiation,[status(thm)],[c_12066]) ).
tcf(c_12121,plain,
para(sK20,sK21,sK20,sK21),
inference(resolution,[status(thm)],[c_11607,c_164]) ).
tcf(c_12189,plain,
( midp(sK24,sK22,sK24)
| ~ midp(sK24,sK23,sK24)
| ~ midp(sK26,sK22,sK20) ),
inference(superposition,[status(thm)],[c_7266,c_10777]) ).
tcf(c_12202,plain,
( midp(sK27,sK26,sK26)
| ~ midp(sK27,sK23,sK26)
| ~ midp(sK26,sK26,sK20) ),
inference(superposition,[status(thm)],[c_7178,c_10777]) ).
tcf(c_12305,plain,
( midp(sK5(sK25,sK21,sK20,sK23,sK27,sK26),sK25,sK23)
| ~ midp(sK27,sK25,sK21)
| ~ midp(sK26,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_6535]) ).
tcf(c_12363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK20,sK21)
| ~ para(X2,X3,sK22,sK23)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_11725,c_57]) ).
tcf(c_12365,plain,
( para(sK22,sK22,sK20,sK21)
| ~ perp(sK22,sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_12363]) ).
tcf(c_12670,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X0)
| ~ midp(X2,sK25,sK21)
| ~ midp(sK27,X1,X0)
| ~ para(sK25,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_9448,c_113]) ).
tcf(c_12677,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_9787,c_113]) ).
tcf(c_12684,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12677,c_9787]) ).
tcf(c_12759,plain,
! [X0: $i,X1: $i] :
( para(X0,sK27,X1,sK21)
| ~ midp(sK27,sK21,X1)
| ~ midp(X0,sK25,sK25) ),
inference(resolution,[status(thm)],[c_11400,c_10423]) ).
tcf(c_12760,plain,
( para(sK22,sK27,sK22,sK21)
| ~ midp(sK27,sK21,sK22)
| ~ midp(sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_12759]) ).
tcf(c_12763,plain,
! [X0: $i,X1: $i] :
( para(X0,sK25,X1,sK21)
| ~ midp(sK27,sK21,X1)
| ~ midp(sK27,X0,sK25) ),
inference(resolution,[status(thm)],[c_11400,c_10427]) ).
tcf(c_12764,plain,
( para(sK22,sK25,sK22,sK21)
| ~ midp(sK27,sK21,sK22)
| ~ midp(sK27,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_12763]) ).
tcf(c_12904,plain,
midp(sK26,sK20,sK23),
inference(superposition,[status(thm)],[c_168,c_59]) ).
tcf(c_12952,plain,
perp(sK22,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_12987,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
tcf(c_13030,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_167,c_12987]) ).
tcf(c_13103,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK20,X1)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_112]) ).
tcf(c_13104,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK21,X1)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_169,c_112]) ).
tcf(c_13130,plain,
! [X0: $i,X1: $i] :
( para(sK20,X1,sK23,X0)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_13103,c_53]) ).
tcf(c_13131,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,X1,sK20)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_13103,c_52]) ).
tcf(c_13165,plain,
( cong(sK20,sK22,sK20,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_164,c_104]) ).
tcf(c_13208,plain,
( cong(sK20,sK23,sK20,sK22)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_13165,c_72]) ).
tcf(c_13237,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_12952,c_57]) ).
tcf(c_13390,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X0,X1)
| cyclic(X1,X2,X0,X0)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_90]) ).
tcf(c_13451,plain,
! [X0: $i] :
( coll(sK23,sK23,sK20)
| cyclic(sK20,X0,sK23,sK23)
| ~ midp(sK26,sK20,sK23) ),
inference(superposition,[status(thm)],[c_13131,c_13390]) ).
tcf(c_13452,plain,
! [X0: $i] :
( coll(sK23,sK23,sK20)
| cyclic(sK20,X0,sK23,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13451,c_12904]) ).
tcf(c_13453,plain,
coll(sK23,sK23,sK20),
inference(global_subsumption_just,[status(thm)],[c_13452,c_11710]) ).
tcf(c_13455,plain,
! [X0: $i] :
( coll(sK20,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_13453,c_51]) ).
tcf(c_13457,plain,
coll(sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_13453,c_49]) ).
tcf(c_13458,plain,
( coll(sK20,sK22,sK23)
| ~ coll(sK23,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_13455]) ).
tcf(c_13596,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK26,X1,sK20)
| ~ midp(X0,sK23,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7098,c_94]) ).
tcf(c_13605,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK25,X1,sK21)
| ~ midp(sK27,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_13104,c_94]) ).
tcf(c_13713,plain,
para(sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_164,c_13237]) ).
tcf(c_13717,plain,
! [X0: $i] :
( midp(sK23,X0,sK23)
| ~ midp(sK22,X0,sK22)
| ~ coll(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_13713,c_94]) ).
tcf(c_13810,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ coll(sK24,sK20,sK23)
| ~ midp(X0,sK20,sK23) ),
inference(superposition,[status(thm)],[c_7973,c_71]) ).
tcf(c_13833,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK26,X0,sK23,X2)
| ~ midp(sK26,X2,X1)
| ~ midp(X0,sK23,X1) ),
inference(superposition,[status(thm)],[c_13130,c_8123]) ).
tcf(c_13971,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X0)
| ~ midp(X2,sK25,sK21)
| ~ midp(sK27,X1,X0)
| ~ para(sK25,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_13104,c_113]) ).
tcf(c_14214,plain,
( cong(sK20,sK22,sK20,sK22)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_13208,c_8542]) ).
tcf(c_14333,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK21,sK22,sK23)
| ~ coll(sK20,sK22,sK22) ),
inference(superposition,[status(thm)],[c_14214,c_116]) ).
tcf(c_14674,plain,
coll(sK27,sK21,sK22),
inference(resolution,[status(thm)],[c_10145,c_49]) ).
tcf(c_14866,plain,
! [X0: $i,X1: $i] :
( para(X0,sK25,X1,sK23)
| ~ midp(sK5(sK25,sK21,sK20,sK23,sK27,sK26),sK25,sK23)
| ~ midp(sK5(sK25,sK21,sK20,sK23,sK27,sK26),X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_15337,plain,
( coll(sK25,sK23,sK20)
| ~ coll(sK25,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_15482,plain,
( coll(sK23,sK25,sK21)
| ~ coll(sK23,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_15598,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK23,X1)
| ~ midp(X0,X1,sK23) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_15599,plain,
( midp(sK22,sK23,sK22)
| ~ midp(sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_15598]) ).
tcf(c_15600,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK25,X1)
| ~ midp(X0,X1,sK25) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_15601,plain,
( midp(sK22,sK25,sK22)
| ~ midp(sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_15600]) ).
tcf(c_15602,plain,
! [X0: $i,X1: $i] :
( midp(sK26,X1,X0)
| ~ midp(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_15603,plain,
! [X0: $i,X1: $i] :
( midp(sK27,X1,X0)
| ~ midp(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_15605,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK20,X1)
| ~ midp(X0,X1,sK20) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_15606,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_15605]) ).
tcf(c_15607,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK21,X1)
| ~ midp(X0,X1,sK21) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_15608,plain,
( midp(sK22,sK21,sK22)
| ~ midp(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_15607]) ).
tcf(c_15867,plain,
! [X0: $i] :
( cong(sK26,X0,sK26,sK23)
| ~ midp(sK26,X0,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_15869,plain,
( cong(sK26,sK22,sK26,sK23)
| ~ midp(sK26,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_15867]) ).
tcf(c_15893,plain,
( para(sK26,sK24,sK22,sK27)
| ~ para(sK26,sK24,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_16154,plain,
coll(sK21,sK21,sK25),
inference(resolution,[status(thm)],[c_8312,c_7793]) ).
tcf(c_16175,plain,
coll(sK25,sK22,sK21),
inference(resolution,[status(thm)],[c_16154,c_8760]) ).
tcf(c_16182,plain,
coll(sK21,sK23,sK25),
inference(resolution,[status(thm)],[c_16175,c_8277]) ).
tcf(c_16211,plain,
coll(sK23,sK21,sK25),
inference(resolution,[status(thm)],[c_16182,c_50]) ).
tcf(c_16348,plain,
( midp(sK22,sK22,sK25)
| ~ midp(sK25,sK22,sK21)
| ~ midp(sK27,sK22,sK25) ),
inference(superposition,[status(thm)],[c_13030,c_13605]) ).
tcf(c_16582,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK26,X1,sK20)
| ~ coll(sK26,X1,sK20)
| ~ midp(X0,sK23,X2)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_94,c_9874]) ).
tcf(c_16583,plain,
( midp(sK26,sK22,sK20)
| ~ midp(sK22,sK23,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_16582]) ).
tcf(c_16586,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK23,X1,sK20)
| ~ coll(sK23,X1,sK20)
| ~ midp(sK26,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_94,c_10009]) ).
tcf(c_16590,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK26,X1,sK23)
| ~ coll(sK26,X1,sK23)
| ~ midp(X0,sK20,X2)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_94,c_9878]) ).
tcf(c_16591,plain,
( midp(sK26,sK22,sK23)
| ~ midp(sK22,sK20,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ coll(sK26,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_16590]) ).
tcf(c_16594,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK27,X1,sK25)
| ~ coll(sK27,X1,sK25)
| ~ midp(X0,sK21,X2)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_94,c_9880]) ).
tcf(c_16595,plain,
( midp(sK27,sK22,sK25)
| ~ midp(sK22,sK21,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ coll(sK27,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_16594]) ).
tcf(c_16844,plain,
! [X0: $i] :
( para(sK27,sK21,sK21,sK27)
| ~ midp(X0,sK21,sK27)
| ~ midp(X0,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_16845,plain,
( para(sK27,sK21,sK21,sK27)
| ~ midp(sK22,sK21,sK27)
| ~ midp(sK22,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_16844]) ).
tcf(c_16877,plain,
! [X0: $i] :
( cong(X0,sK21,sK20,X0)
| ~ coll(sK24,sK20,sK23)
| ~ midp(X0,sK20,sK23) ),
inference(superposition,[status(thm)],[c_13810,c_72]) ).
tcf(c_16885,plain,
( cong(sK22,sK21,sK20,sK22)
| ~ midp(sK22,sK20,sK23)
| ~ coll(sK24,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_16877]) ).
tcf(c_17021,plain,
! [X0: $i] :
( midp(sK23,X0,sK20)
| ~ midp(sK20,X0,sK23)
| ~ coll(sK23,X0,sK20) ),
inference(resolution,[status(thm)],[c_16586,c_7595]) ).
tcf(c_17022,plain,
( midp(sK23,sK22,sK20)
| ~ midp(sK20,sK22,sK23)
| ~ coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_17021]) ).
tcf(c_17179,plain,
coll(sK26,sK22,sK20),
inference(resolution,[status(thm)],[c_8999,c_9745]) ).
tcf(c_17201,plain,
coll(sK26,sK20,sK22),
inference(resolution,[status(thm)],[c_17179,c_49]) ).
tcf(c_17271,plain,
! [X0: $i] :
( coll(sK25,sK20,sK23)
| ~ coll(sK23,X0,sK25)
| ~ coll(sK23,X0,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_17272,plain,
( coll(sK25,sK20,sK23)
| ~ coll(sK23,sK22,sK25)
| ~ coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_17271]) ).
tcf(c_17517,plain,
( coll(sK23,sK25,sK20)
| ~ coll(sK25,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_17786,plain,
! [X0: $i] :
( para(sK26,sK26,sK23,X0)
| ~ midp(sK26,X0,sK20) ),
inference(superposition,[status(thm)],[c_168,c_13833]) ).
tcf(c_17841,plain,
! [X0: $i,X1: $i] :
( midp(X1,sK26,X0)
| ~ midp(sK26,X0,sK20)
| ~ midp(X1,sK26,sK23)
| ~ para(sK26,X0,sK23,sK26) ),
inference(superposition,[status(thm)],[c_17786,c_113]) ).
tcf(c_17842,plain,
! [X0: $i,X1: $i] :
( midp(sK26,X0,X1)
| ~ midp(sK26,X1,sK20)
| ~ midp(sK26,X0,sK23)
| ~ coll(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_17786,c_94]) ).
tcf(c_17851,plain,
( midp(sK26,sK22,sK22)
| ~ midp(sK26,sK22,sK23)
| ~ midp(sK26,sK22,sK20)
| ~ coll(sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_17842]) ).
tcf(c_17895,plain,
coll(sK21,sK23,sK22),
inference(resolution,[status(thm)],[c_9602,c_10143]) ).
tcf(c_17909,plain,
coll(sK21,sK22,sK23),
inference(resolution,[status(thm)],[c_17895,c_49]) ).
tcf(c_18449,plain,
( midp(sK22,sK23,sK25)
| ~ midp(sK25,sK23,sK21)
| ~ midp(sK27,sK22,sK25) ),
inference(superposition,[status(thm)],[c_7194,c_13605]) ).
tcf(c_18795,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK20,sK26)
| ~ midp(X0,sK23,X1)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK20,X1,sK26) ),
inference(resolution,[status(thm)],[c_113,c_9874]) ).
tcf(c_18796,plain,
( midp(sK22,sK20,sK26)
| ~ midp(sK22,sK23,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ para(sK22,sK20,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_18795]) ).
tcf(c_18799,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK20,sK23)
| ~ midp(sK26,X0,X1)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK20,X1,sK23) ),
inference(resolution,[status(thm)],[c_113,c_10009]) ).
tcf(c_18812,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(resolution,[status(thm)],[c_113,c_12121]) ).
tcf(c_18829,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK27,sK21)
| ~ midp(X1,sK25,X0)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK27,X1,sK21) ),
inference(resolution,[status(thm)],[c_113,c_10508]) ).
tcf(c_18830,plain,
( midp(sK22,sK27,sK21)
| ~ midp(sK22,sK25,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ para(sK22,sK27,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_18829]) ).
tcf(c_18888,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK24,sK27,sK22)
| ~ para(sK26,sK24,X0,X1)
| ~ para(X0,X1,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_18891,plain,
( para(sK26,sK24,sK27,sK22)
| ~ para(sK22,sK22,sK27,sK22)
| ~ para(sK26,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_18888]) ).
tcf(c_19000,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,X2,sK22,sK27)
| ~ midp(X0,X2,sK27)
| ~ midp(X0,X1,sK22) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_19178,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,sK20,X1,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_19179,plain,
( perp(sK22,sK22,sK20,sK21)
| ~ cong(sK22,sK21,sK22,sK21)
| ~ cong(sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_19178]) ).
tcf(c_19494,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20) ),
inference(global_subsumption_just,[status(thm)],[c_18812,c_12684]) ).
tcf(c_19506,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,X2,X1,sK21)
| ~ midp(X2,sK20,sK20)
| ~ midp(X0,sK21,X1) ),
inference(resolution,[status(thm)],[c_19494,c_93]) ).
tcf(c_19507,plain,
( para(sK22,sK22,sK22,sK21)
| ~ midp(sK22,sK21,sK22)
| ~ midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19506]) ).
tcf(c_19791,plain,
coll(sK25,sK21,sK21),
inference(superposition,[status(thm)],[c_7505,c_6812]) ).
tcf(c_19824,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK20,sK23)
| ~ midp(sK26,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_18799,c_168,c_6384,c_6531,c_18799]) ).
tcf(c_19825,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,sK20,sK23)
| ~ midp(sK26,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_19824]) ).
tcf(c_19826,plain,
( midp(sK22,sK20,sK23)
| ~ midp(sK22,sK22,sK22)
| ~ midp(sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_19825]) ).
tcf(c_19986,plain,
( midp(sK25,sK21,sK21)
| ~ midp(sK25,sK23,sK21)
| ~ midp(sK26,sK21,sK20) ),
inference(superposition,[status(thm)],[c_19791,c_13596]) ).
tcf(c_20058,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X0)
| ~ midp(X2,sK25,sK21)
| ~ midp(sK27,X1,X0)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_13104,c_13971]) ).
tcf(c_20062,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X0)
| ~ midp(X2,sK25,sK21)
| ~ midp(sK27,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_20058,c_7724,c_12670,c_15603]) ).
tcf(c_20716,plain,
! [X0: $i] :
( midp(sK25,X0,sK21)
| ~ midp(sK25,sK21,X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_20717,plain,
( midp(sK25,sK22,sK21)
| ~ midp(sK25,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_20716]) ).
tcf(c_20731,plain,
! [X0: $i,X1: $i] :
( midp(X1,sK26,X0)
| ~ midp(sK26,X0,sK20)
| ~ midp(X1,sK26,sK23)
| ~ midp(X0,sK20,sK26) ),
inference(superposition,[status(thm)],[c_7100,c_17841]) ).
tcf(c_20734,plain,
( midp(sK22,sK26,sK22)
| ~ midp(sK22,sK20,sK26)
| ~ midp(sK22,sK26,sK23)
| ~ midp(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_20731]) ).
tcf(c_20993,plain,
( midp(sK23,sK20,sK23)
| ~ midp(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_13457,c_13717]) ).
tcf(c_21287,plain,
coll(sK25,sK22,sK23),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_21292,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_163,c_50]) ).
tcf(c_21325,plain,
midp(sK27,sK21,sK25),
inference(superposition,[status(thm)],[c_169,c_59]) ).
tcf(c_21364,plain,
! [X0: $i,X1: $i] :
( para(sK20,X1,sK26,X0)
| ~ midp(X0,sK23,X1) ),
inference(superposition,[status(thm)],[c_7098,c_53]) ).
tcf(c_21365,plain,
! [X0: $i,X1: $i] :
( para(sK21,X1,sK27,X0)
| ~ midp(X0,sK25,X1) ),
inference(superposition,[status(thm)],[c_7099,c_53]) ).
tcf(c_21368,plain,
perp(sK20,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_164,c_55]) ).
tcf(c_21371,plain,
perp(sK22,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_21427,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_21292,c_6789]) ).
tcf(c_21441,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
tcf(c_21443,plain,
! [X0: $i] :
( coll(sK24,X0,sK28)
| ~ coll(sK28,sK22,X0) ),
inference(superposition,[status(thm)],[c_170,c_51]) ).
tcf(c_21446,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_21287,c_51]) ).
tcf(c_21490,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_163,c_21441]) ).
tcf(c_21493,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_21490,c_49]) ).
tcf(c_21528,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK20,X1)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_112]) ).
tcf(c_21529,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK21,X1)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_169,c_112]) ).
tcf(c_21531,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK25,X1)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_21325,c_112]) ).
tcf(c_21587,plain,
( perp(sK20,sK21,sK21,sK23)
| ~ coll(sK24,sK20,sK23) ),
inference(superposition,[status(thm)],[c_165,c_102]) ).
tcf(c_21661,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_21368,c_57]) ).
tcf(c_21662,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_21371,c_57]) ).
tcf(c_21750,plain,
para(sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_164,c_21662]) ).
tcf(c_21851,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK25,X2,sK27,X0)
| ~ midp(sK27,X2,X1)
| ~ midp(X0,sK25,X1) ),
inference(superposition,[status(thm)],[c_21365,c_8132]) ).
tcf(c_21865,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK25,X2,sK25,X1)
| ~ midp(sK27,X2,X0)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_21531,c_8132]) ).
tcf(c_21919,plain,
! [X0: $i] :
( para(sK25,X0,sK27,sK27)
| ~ midp(sK27,X0,sK21) ),
inference(superposition,[status(thm)],[c_169,c_21851]) ).
tcf(c_21929,plain,
! [X0: $i] :
( para(sK25,X0,sK25,sK21)
| ~ midp(sK27,X0,sK25) ),
inference(superposition,[status(thm)],[c_169,c_21865]) ).
tcf(c_21930,plain,
! [X0: $i] :
( para(sK25,X0,sK25,sK25)
| ~ midp(sK27,X0,sK21) ),
inference(superposition,[status(thm)],[c_21325,c_21865]) ).
tcf(c_21931,plain,
( para(sK25,sK22,sK25,sK25)
| ~ midp(sK27,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_21930]) ).
tcf(c_21957,plain,
! [X0: $i] :
( para(sK25,sK21,sK25,X0)
| ~ midp(sK27,X0,sK25) ),
inference(superposition,[status(thm)],[c_21929,c_53]) ).
tcf(c_22071,plain,
! [X0: $i] :
( para(sK25,sK25,sK25,X0)
| ~ midp(sK27,X0,sK21) ),
inference(superposition,[status(thm)],[c_21930,c_53]) ).
tcf(c_22132,plain,
! [X0: $i] :
( midp(sK23,X0,sK23)
| ~ midp(sK22,X0,sK22)
| ~ coll(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_21750,c_94]) ).
tcf(c_22133,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK26,X1,sK20)
| ~ midp(X0,sK23,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7098,c_94]) ).
tcf(c_22134,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK27,X1,sK21)
| ~ midp(X0,sK25,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7099,c_94]) ).
tcf(c_22141,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK23,X1,sK20)
| ~ midp(sK26,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_21528,c_94]) ).
tcf(c_22142,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK25,X1,sK21)
| ~ midp(sK27,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_21529,c_94]) ).
tcf(c_22153,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK27)
| ~ midp(sK25,X1,sK27)
| ~ midp(sK27,X0,sK21)
| ~ coll(X0,X1,sK27) ),
inference(superposition,[status(thm)],[c_21919,c_94]) ).
tcf(c_22155,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK21)
| ~ midp(sK25,X1,sK25)
| ~ midp(sK27,X0,sK25)
| ~ coll(X0,X1,sK21) ),
inference(superposition,[status(thm)],[c_21929,c_94]) ).
tcf(c_22162,plain,
( midp(sK22,sK22,sK27)
| ~ midp(sK25,sK22,sK27)
| ~ midp(sK27,sK22,sK21)
| ~ coll(sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_22153]) ).
tcf(c_22291,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK23,X2,sK26,X0)
| ~ midp(sK26,X2,X1)
| ~ midp(X0,sK23,X1) ),
inference(superposition,[status(thm)],[c_21364,c_8131]) ).
tcf(c_22299,plain,
! [X0: $i] :
( perp(sK26,X0,sK22,sK23)
| ~ midp(X0,sK23,sK21) ),
inference(superposition,[status(thm)],[c_164,c_8358]) ).
tcf(c_22307,plain,
! [X0: $i] :
( perp(sK22,sK23,sK26,X0)
| ~ midp(X0,sK23,sK21) ),
inference(superposition,[status(thm)],[c_22299,c_56]) ).
tcf(c_22322,plain,
! [X0: $i] :
( perp(sK22,sK23,X0,sK26)
| ~ midp(X0,sK23,sK21) ),
inference(superposition,[status(thm)],[c_22307,c_55]) ).
tcf(c_22387,plain,
! [X0: $i] :
( perp(sK23,X0,sK22,sK23)
| ~ midp(sK26,X0,sK21) ),
inference(superposition,[status(thm)],[c_164,c_8366]) ).
tcf(c_22399,plain,
( para(sK20,sK21,sK22,sK23)
| ~ midp(sK26,sK22,sK21) ),
inference(superposition,[status(thm)],[c_22387,c_21661]) ).
tcf(c_22423,plain,
( para(sK22,sK23,sK20,sK21)
| ~ midp(sK26,sK22,sK21) ),
inference(superposition,[status(thm)],[c_22399,c_53]) ).
tcf(c_22475,plain,
! [X0: $i] :
( para(sK23,X0,sK26,sK26)
| ~ midp(sK26,X0,sK20) ),
inference(superposition,[status(thm)],[c_168,c_22291]) ).
tcf(c_22489,plain,
! [X0: $i] :
( para(sK26,sK26,sK23,X0)
| ~ midp(sK26,X0,sK20) ),
inference(superposition,[status(thm)],[c_22475,c_53]) ).
tcf(c_22509,plain,
! [X0: $i] :
( para(sK26,sK26,X0,sK23)
| ~ midp(sK26,X0,sK20) ),
inference(superposition,[status(thm)],[c_22489,c_52]) ).
tcf(c_22566,plain,
! [X0: $i,X1: $i] :
( midp(X1,X0,sK21)
| ~ midp(sK27,X0,sK25)
| ~ midp(X1,sK25,sK25)
| ~ para(sK25,sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_21929,c_113]) ).
tcf(c_24248,plain,
( midp(sK21,sK22,sK21)
| ~ midp(sK25,sK22,sK25)
| ~ midp(sK27,sK21,sK25) ),
inference(superposition,[status(thm)],[c_21493,c_22155]) ).
tcf(c_24251,plain,
( midp(sK21,sK22,sK21)
| ~ midp(sK25,sK22,sK25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24248,c_21325]) ).
tcf(c_24515,plain,
coll(sK20,sK23,sK26),
inference(superposition,[status(thm)],[c_7269,c_49]) ).
tcf(c_24761,plain,
! [X0: $i,X1: $i] :
( midp(X1,X0,sK21)
| ~ midp(sK27,X0,sK25)
| ~ midp(X1,sK25,sK25) ),
inference(global_subsumption_just,[status(thm)],[c_22566,c_21957,c_22566]) ).
tcf(c_24762,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK21)
| ~ midp(sK27,X1,sK25)
| ~ midp(X0,sK25,sK25) ),
inference(renaming,[status(thm)],[c_24761]) ).
tcf(c_24767,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_21325,c_24762]) ).
tcf(c_24768,plain,
( midp(sK22,sK21,sK21)
| ~ midp(sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_24767]) ).
tcf(c_25491,plain,
coll(sK26,sK26,sK20),
inference(superposition,[status(thm)],[c_24515,c_6815]) ).
tcf(c_25556,plain,
! [X0: $i,X1: $i] :
( para(X0,sK26,X1,sK21)
| ~ midp(sK27,sK23,X1)
| ~ midp(X0,sK20,sK25) ),
inference(resolution,[status(thm)],[c_10429,c_11400]) ).
tcf(c_25557,plain,
( para(sK22,sK26,sK22,sK21)
| ~ midp(sK27,sK23,sK22)
| ~ midp(sK22,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_25556]) ).
tcf(c_25598,plain,
( midp(sK26,sK26,sK20)
| ~ midp(sK27,sK26,sK21)
| ~ midp(sK26,sK25,sK20) ),
inference(superposition,[status(thm)],[c_25491,c_22134]) ).
tcf(c_25602,plain,
coll(sK26,sK20,sK26),
inference(superposition,[status(thm)],[c_25491,c_49]) ).
tcf(c_25651,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK26,sK23)
| ~ midp(X1,sK20,X0)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK26,X1,sK23) ),
inference(resolution,[status(thm)],[c_10512,c_113]) ).
tcf(c_25652,plain,
( midp(sK22,sK26,sK23)
| ~ midp(sK22,sK20,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ para(sK22,sK26,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_25651]) ).
tcf(c_25669,plain,
( para(sK23,sK25,sK23,sK25)
| ~ para(sK23,sK25,sK5(sK23,sK20,sK25,sK21,sK26,sK27),sK27)
| ~ para(sK5(sK23,sK20,sK25,sK21,sK26,sK27),sK27,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_8506]) ).
tcf(c_25758,plain,
! [X0: $i,X1: $i] :
( para(X0,sK27,X1,sK21)
| ~ midp(sK27,sK25,X1)
| ~ midp(X0,sK21,sK25) ),
inference(resolution,[status(thm)],[c_10700,c_11400]) ).
tcf(c_25759,plain,
( para(sK22,sK27,sK22,sK21)
| ~ midp(sK27,sK25,sK22)
| ~ midp(sK22,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_25758]) ).
tcf(c_25884,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK25,X1,sK27)
| ~ coll(sK25,X1,sK27)
| ~ midp(X2,sK21,X0)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[c_10701,c_94]) ).
tcf(c_25885,plain,
( midp(sK25,sK22,sK27)
| ~ midp(sK22,sK21,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ coll(sK25,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_25884]) ).
tcf(c_25889,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK27,sK25)
| ~ midp(X1,sK21,X0)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK27,X1,sK25) ),
inference(resolution,[status(thm)],[c_10701,c_113]) ).
tcf(c_25890,plain,
( midp(sK22,sK27,sK25)
| ~ midp(sK22,sK21,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ para(sK22,sK27,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_25889]) ).
tcf(c_26181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,sK23,X3)
| ~ midp(X0,sK23,X2)
| ~ coll(X1,sK23,X3)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_26182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,sK25,X3)
| ~ midp(X0,sK25,X2)
| ~ coll(X1,sK25,X3)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_26183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK26,X3,X2)
| ~ coll(sK26,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK26,X1,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_26185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK27,X3,X2)
| ~ coll(sK27,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_26187,plain,
! [X0: $i,X1: $i] :
( midp(sK21,sK22,sK23)
| ~ coll(sK21,sK22,sK23)
| ~ midp(X0,sK22,X1)
| ~ para(X0,sK21,X1,sK23) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_26188,plain,
( midp(sK21,sK22,sK23)
| ~ midp(sK22,sK22,sK22)
| ~ coll(sK21,sK22,sK23)
| ~ para(sK22,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_26187]) ).
tcf(c_26306,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X0,X1)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_26307,plain,
( perp(sK20,sK21,sK22,sK22)
| ~ perp(sK22,sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_26306]) ).
tcf(c_26526,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,sK26)
| ~ midp(sK20,X1,X2)
| ~ midp(X2,sK23,X0)
| ~ coll(X0,X1,sK26) ),
inference(resolution,[status(thm)],[c_10736,c_94]) ).
tcf(c_26527,plain,
( midp(sK22,sK22,sK26)
| ~ midp(sK20,sK22,sK22)
| ~ midp(sK22,sK23,sK22)
| ~ coll(sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_26526]) ).
tcf(c_26583,plain,
( midp(sK26,sK20,sK26)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK27,sK26,sK26) ),
inference(superposition,[status(thm)],[c_25602,c_22142]) ).
tcf(c_26757,plain,
( midp(sK22,sK22,sK20)
| ~ midp(sK23,sK22,sK20)
| ~ midp(sK26,sK22,sK20) ),
inference(superposition,[status(thm)],[c_7348,c_22141]) ).
tcf(c_26763,plain,
coll(sK25,sK20,sK22),
inference(superposition,[status(thm)],[c_7348,c_6935]) ).
tcf(c_26863,plain,
coll(sK23,sK26,sK23),
inference(superposition,[status(thm)],[c_7361,c_49]) ).
tcf(c_27246,plain,
coll(sK22,sK25,sK21),
inference(superposition,[status(thm)],[c_7590,c_6911]) ).
tcf(c_27299,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_7605,c_50]) ).
tcf(c_27332,plain,
coll(sK25,sK22,sK21),
inference(superposition,[status(thm)],[c_7645,c_49]) ).
tcf(c_27471,plain,
( midp(sK23,sK26,sK23)
| ~ midp(sK22,sK26,sK22) ),
inference(superposition,[status(thm)],[c_26863,c_22132]) ).
tcf(c_27910,plain,
coll(sK22,sK20,sK26),
inference(superposition,[status(thm)],[c_8578,c_49]) ).
tcf(c_27917,plain,
coll(sK28,sK22,sK23),
inference(superposition,[status(thm)],[c_8584,c_49]) ).
tcf(c_27928,plain,
( midp(sK27,sK22,sK21)
| ~ midp(sK27,sK23,sK21)
| ~ midp(sK26,sK22,sK20) ),
inference(superposition,[status(thm)],[c_27299,c_22133]) ).
tcf(c_27931,plain,
coll(sK27,sK21,sK22),
inference(superposition,[status(thm)],[c_27299,c_49]) ).
tcf(c_28053,plain,
coll(sK23,sK21,sK25),
inference(superposition,[status(thm)],[c_27332,c_21446]) ).
tcf(c_28169,plain,
( para(sK25,sK25,sK23,sK23)
| ~ midp(sK5(sK25,sK21,sK20,sK23,sK27,sK26),sK25,sK23) ),
inference(instantiation,[status(thm)],[c_14866]) ).
tcf(c_28235,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_26763,c_50]) ).
tcf(c_28236,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_26763,c_49]) ).
tcf(c_28243,plain,
coll(sK22,sK21,sK25),
inference(superposition,[status(thm)],[c_27246,c_49]) ).
tcf(c_28293,plain,
! [X0: $i] :
( coll(sK26,X0,sK22)
| ~ coll(sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_27910,c_51]) ).
tcf(c_28294,plain,
coll(sK20,sK22,sK26),
inference(superposition,[status(thm)],[c_27910,c_50]) ).
tcf(c_28297,plain,
coll(sK21,sK26,sK22),
inference(superposition,[status(thm)],[c_27910,c_21441]) ).
tcf(c_28298,plain,
( coll(sK26,sK22,sK22)
| ~ coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_28293]) ).
tcf(c_28425,plain,
coll(sK26,sK21,sK22),
inference(superposition,[status(thm)],[c_28297,c_50]) ).
tcf(c_28497,plain,
coll(sK23,sK25,sK21),
inference(superposition,[status(thm)],[c_28053,c_49]) ).
tcf(c_28502,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK21,X0) ),
inference(superposition,[status(thm)],[c_28425,c_51]) ).
tcf(c_28504,plain,
coll(sK26,sK22,sK21),
inference(superposition,[status(thm)],[c_28425,c_49]) ).
tcf(c_28505,plain,
( coll(sK22,sK22,sK26)
| ~ coll(sK26,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_28502]) ).
tcf(c_28598,plain,
coll(sK22,sK28,sK23),
inference(superposition,[status(thm)],[c_27917,c_50]) ).
tcf(c_28601,plain,
coll(sK24,sK23,sK28),
inference(superposition,[status(thm)],[c_27917,c_21443]) ).
tcf(c_28627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK23)
| ~ coll(X1,X3,sK23)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_28628,plain,
( midp(sK22,sK22,sK23)
| ~ midp(sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK23)
| ~ para(sK22,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_28627]) ).
tcf(c_28697,plain,
( midp(sK27,sK21,sK22)
| ~ midp(sK27,sK25,sK22)
| ~ midp(sK27,sK21,sK21) ),
inference(superposition,[status(thm)],[c_27931,c_22134]) ).
tcf(c_28699,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_27931,c_51]) ).
tcf(c_28703,plain,
( coll(sK22,sK22,sK27)
| ~ coll(sK27,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_28699]) ).
tcf(c_28804,plain,
coll(sK24,sK28,sK23),
inference(superposition,[status(thm)],[c_28601,c_49]) ).
tcf(c_28913,plain,
! [X0: $i] :
( coll(sK23,X0,sK24)
| ~ coll(sK24,sK28,X0) ),
inference(superposition,[status(thm)],[c_28804,c_51]) ).
tcf(c_28917,plain,
( coll(sK23,sK22,sK24)
| ~ coll(sK24,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_28913]) ).
tcf(c_29624,plain,
coll(sK20,sK22,sK25),
inference(superposition,[status(thm)],[c_28235,c_49]) ).
tcf(c_29751,plain,
perp(sK20,sK21,sK21,sK23),
inference(global_subsumption_just,[status(thm)],[c_10954,c_170,c_2186,c_6378,c_6473,c_7018,c_9623,c_9969,c_28917]) ).
tcf(c_29761,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK23)
| ~ perp(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_29751,c_57]) ).
tcf(c_29850,plain,
coll(sK23,sK20,sK25),
inference(superposition,[status(thm)],[c_28236,c_21446]) ).
tcf(c_29888,plain,
( midp(sK22,sK21,sK25)
| ~ midp(sK25,sK21,sK21)
| ~ midp(sK27,sK22,sK25) ),
inference(superposition,[status(thm)],[c_28243,c_22142]) ).
tcf(c_29990,plain,
coll(sK21,sK26,sK20),
inference(superposition,[status(thm)],[c_28294,c_6789]) ).
tcf(c_30159,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK22,sK21,X1,X2)
| ~ midp(X0,sK21,X2)
| ~ midp(X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_30160,plain,
( para(sK22,sK21,sK22,sK22)
| ~ midp(sK22,sK21,sK22)
| ~ midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_30159]) ).
tcf(c_30174,plain,
coll(sK20,sK23,sK25),
inference(superposition,[status(thm)],[c_29850,c_50]) ).
tcf(c_30183,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_29990,c_50]) ).
tcf(c_30244,plain,
coll(sK24,sK23,sK24),
inference(superposition,[status(thm)],[c_28804,c_6977]) ).
tcf(c_30456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK23,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK23,X2,X1)
| ~ para(X0,X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_30460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK26,X1,X3)
| ~ midp(sK26,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_30461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK27,X1,X3)
| ~ midp(sK27,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_30483,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK25,X1,sK21)
| ~ midp(sK25,X0,X2)
| ~ para(X0,sK21,X2,X1)
| ~ para(X0,X1,X2,sK21) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_30484,plain,
( midp(sK25,sK22,sK21)
| ~ midp(sK25,sK22,sK22)
| ~ para(sK22,sK21,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_30483]) ).
tcf(c_30649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK21,X3,sK23)
| ~ para(X1,X2,X3,sK23)
| ~ para(X0,sK21,X1,X2) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_30652,plain,
( para(sK22,sK21,sK22,sK23)
| ~ para(sK22,sK21,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_30649]) ).
tcf(c_30677,plain,
coll(sK22,sK21,sK23),
inference(superposition,[status(thm)],[c_28497,c_6790]) ).
tcf(c_30899,plain,
coll(sK24,sK23,sK22),
inference(superposition,[status(thm)],[c_28598,c_6791]) ).
tcf(c_30918,plain,
coll(sK22,sK23,sK21),
inference(superposition,[status(thm)],[c_30677,c_49]) ).
tcf(c_31063,plain,
coll(sK27,sK20,sK21),
inference(superposition,[status(thm)],[c_21427,c_7503]) ).
tcf(c_31073,plain,
( midp(sK27,sK20,sK21)
| ~ midp(sK27,sK23,sK21)
| ~ midp(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_31063,c_22133]) ).
tcf(c_31693,plain,
coll(sK22,sK20,sK25),
inference(superposition,[status(thm)],[c_29624,c_50]) ).
tcf(c_31967,plain,
coll(sK26,sK25,sK20),
inference(superposition,[status(thm)],[c_30174,c_6815]) ).
tcf(c_32209,plain,
( midp(sK26,sK21,sK20)
| ~ midp(sK27,sK21,sK21)
| ~ midp(sK26,sK25,sK20) ),
inference(superposition,[status(thm)],[c_30183,c_22134]) ).
tcf(c_33466,plain,
( midp(sK22,sK23,sK21)
| ~ midp(sK23,sK23,sK20)
| ~ midp(sK26,sK22,sK21) ),
inference(superposition,[status(thm)],[c_30918,c_22141]) ).
tcf(c_34043,plain,
para(sK23,sK22,sK21,sK23),
inference(resolution,[status(thm)],[c_29761,c_7913]) ).
tcf(c_34468,plain,
para(sK22,sK23,sK23,sK21),
inference(global_subsumption_just,[status(thm)],[c_8929,c_170,c_6378,c_6473,c_7018,c_8929,c_9623,c_9969,c_28917]) ).
tcf(c_34475,plain,
para(sK22,sK23,sK21,sK23),
inference(superposition,[status(thm)],[c_34468,c_52]) ).
tcf(c_34527,plain,
! [X0: $i,X1: $i] :
( midp(X1,sK25,X0)
| ~ midp(sK27,X0,sK21)
| ~ midp(X1,sK25,sK25)
| ~ para(sK25,X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_22071,c_113]) ).
tcf(c_34538,plain,
( midp(sK22,sK25,sK22)
| ~ midp(sK27,sK22,sK21)
| ~ midp(sK22,sK25,sK25)
| ~ para(sK25,sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_34527]) ).
tcf(c_34783,plain,
( midp(sK22,sK20,sK25)
| ~ midp(sK27,sK20,sK21)
| ~ midp(sK22,sK25,sK25) ),
inference(superposition,[status(thm)],[c_31693,c_22134]) ).
tcf(c_35069,plain,
! [X0: $i] :
( perp(X0,sK26,sK22,sK23)
| ~ midp(X0,sK23,sK21) ),
inference(superposition,[status(thm)],[c_22322,c_56]) ).
tcf(c_35194,plain,
( para(sK22,sK23,sK21,sK20)
| ~ midp(sK26,sK22,sK21) ),
inference(superposition,[status(thm)],[c_22423,c_52]) ).
tcf(c_35532,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,sK26,X0,X1)
| ~ midp(X2,sK23,sK21)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_35069,c_57]) ).
tcf(c_35545,plain,
( para(sK22,sK26,sK22,sK22)
| ~ midp(sK22,sK23,sK21)
| ~ perp(sK22,sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_35532]) ).
tcf(c_35676,plain,
! [X0: $i] :
( para(X0,sK23,sK26,sK26)
| ~ midp(sK26,X0,sK20) ),
inference(superposition,[status(thm)],[c_22509,c_53]) ).
tcf(c_36373,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK21,X1,sK21)
| ~ midp(sK21,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_36374,plain,
( cong(sK22,sK21,sK22,sK21)
| ~ midp(sK21,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_36373]) ).
tcf(c_36611,plain,
( para(sK23,sK22,sK21,sK23)
| ~ coll(sK24,sK20,sK23) ),
inference(superposition,[status(thm)],[c_21587,c_8236]) ).
tcf(c_36748,plain,
( para(sK21,sK20,sK22,sK23)
| ~ midp(sK26,sK22,sK21) ),
inference(superposition,[status(thm)],[c_35194,c_53]) ).
tcf(c_36784,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK27,X1)
| ~ midp(X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_36785,plain,
( midp(sK22,sK27,sK22)
| ~ midp(sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_36784]) ).
tcf(c_36806,plain,
! [X0: $i,X1: $i] :
( midp(sK23,X1,sK26)
| ~ midp(sK26,X0,sK20)
| ~ coll(sK23,X1,sK26)
| ~ midp(X0,X1,sK26) ),
inference(superposition,[status(thm)],[c_35676,c_94]) ).
tcf(c_36822,plain,
( midp(sK23,sK22,sK26)
| ~ midp(sK22,sK22,sK26)
| ~ midp(sK26,sK22,sK20)
| ~ coll(sK23,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_36806]) ).
tcf(c_36886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK21,X3,X2)
| ~ coll(sK21,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK21,X1,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_36887,plain,
( midp(sK21,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ coll(sK21,sK22,sK22)
| ~ para(sK22,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_36886]) ).
tcf(c_36929,plain,
para(sK23,sK22,sK21,sK23),
inference(global_subsumption_just,[status(thm)],[c_36611,c_34043]) ).
tcf(c_36936,plain,
para(sK23,sK22,sK23,sK21),
inference(superposition,[status(thm)],[c_36929,c_52]) ).
tcf(c_36955,plain,
! [X0: $i] :
( midp(X0,sK22,sK21)
| ~ midp(X0,sK23,sK23)
| ~ para(sK23,sK21,sK23,sK22) ),
inference(superposition,[status(thm)],[c_36936,c_113]) ).
tcf(c_36959,plain,
para(sK23,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_36936,c_53]) ).
tcf(c_36962,plain,
! [X0: $i] :
( midp(X0,sK22,sK21)
| ~ midp(X0,sK23,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36955,c_36959]) ).
tcf(c_36963,plain,
( midp(sK22,sK22,sK21)
| ~ midp(sK22,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_36962]) ).
tcf(c_37528,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_163,c_49]) ).
tcf(c_37529,plain,
coll(sK25,sK22,sK23),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_37546,plain,
coll(sK22,sK25,sK23),
inference(superposition,[status(thm)],[c_37529,c_50]) ).
tcf(c_37562,plain,
midp(sK26,sK20,sK23),
inference(superposition,[status(thm)],[c_168,c_59]) ).
tcf(c_37566,plain,
coll(sK26,sK23,sK20),
inference(superposition,[status(thm)],[c_168,c_118]) ).
tcf(c_37567,plain,
coll(sK27,sK25,sK21),
inference(superposition,[status(thm)],[c_169,c_118]) ).
tcf(c_37600,plain,
para(sK22,sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_34475,c_52]) ).
tcf(c_37605,plain,
para(sK21,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_34475,c_53]) ).
tcf(c_37608,plain,
perp(sK20,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_164,c_55]) ).
tcf(c_37683,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
tcf(c_37684,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
tcf(c_37685,plain,
! [X0: $i] :
( coll(sK24,X0,sK28)
| ~ coll(sK28,sK22,X0) ),
inference(superposition,[status(thm)],[c_170,c_51]) ).
tcf(c_37736,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_167,c_37684]) ).
tcf(c_37768,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK20,X1)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_112]) ).
tcf(c_37769,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK21,X1)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_169,c_112]) ).
tcf(c_37787,plain,
! [X0: $i,X1: $i] :
( para(sK20,X1,sK23,X0)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_37768,c_53]) ).
tcf(c_37788,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,X1,sK20)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_37768,c_52]) ).
tcf(c_37829,plain,
( perp(sK20,sK21,sK21,sK23)
| ~ coll(sK24,sK20,sK23) ),
inference(superposition,[status(thm)],[c_165,c_102]) ).
tcf(c_37830,plain,
( perp(sK23,sK25,sK25,sK29)
| ~ coll(sK24,sK23,sK29) ),
inference(superposition,[status(thm)],[c_166,c_102]) ).
tcf(c_37841,plain,
para(sK21,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_37605,c_52]) ).
tcf(c_37844,plain,
perp(sK20,sK21,sK21,sK23),
inference(global_subsumption_just,[status(thm)],[c_37829,c_170,c_2186,c_6378,c_6473,c_7018,c_9623,c_9969,c_28917]) ).
tcf(c_37846,plain,
perp(sK21,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_37844,c_56]) ).
tcf(c_37847,plain,
perp(sK20,sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_37844,c_55]) ).
tcf(c_37851,plain,
( perp(sK25,sK29,sK23,sK25)
| ~ coll(sK24,sK23,sK29) ),
inference(superposition,[status(thm)],[c_37830,c_56]) ).
tcf(c_37856,plain,
perp(sK23,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_37847,c_56]) ).
tcf(c_37866,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_37566,c_6793]) ).
tcf(c_37874,plain,
( cong(sK20,sK22,sK20,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_164,c_104]) ).
tcf(c_37881,plain,
( cong(sK21,sK20,sK21,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_37846,c_104]) ).
tcf(c_37899,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
tcf(c_37902,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_37608,c_57]) ).
tcf(c_37930,plain,
! [X0: $i,X1: $i] :
( para(sK23,sK21,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_37856,c_57]) ).
tcf(c_37931,plain,
( cong(sK23,sK20,sK23,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_37856,c_104]) ).
tcf(c_37961,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_37567,c_6794]) ).
tcf(c_38016,plain,
( midp(sK23,sK20,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_37931,c_116]) ).
tcf(c_38024,plain,
para(sK23,sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_164,c_37930]) ).
tcf(c_38026,plain,
para(sK23,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_37608,c_37930]) ).
tcf(c_38032,plain,
coll(sK23,sK21,sK22),
inference(superposition,[status(thm)],[c_38026,c_115]) ).
tcf(c_38036,plain,
coll(sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_38032,c_50]) ).
tcf(c_38037,plain,
coll(sK23,sK22,sK21),
inference(superposition,[status(thm)],[c_38032,c_49]) ).
tcf(c_38039,plain,
! [X0: $i,X1: $i] :
( para(sK23,sK21,X0,X1)
| ~ para(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_38024,c_54]) ).
tcf(c_38052,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_37736,c_6935]) ).
tcf(c_38100,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ para(sK23,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_37600,c_54]) ).
tcf(c_38167,plain,
para(sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_38024,c_38100]) ).
tcf(c_38245,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X0,X1)
| cyclic(X1,X2,X0,X0)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_90]) ).
tcf(c_38262,plain,
! [X0: $i] :
( coll(sK23,sK23,sK20)
| cyclic(sK20,X0,sK23,sK23)
| ~ midp(sK26,sK20,sK23) ),
inference(superposition,[status(thm)],[c_37788,c_38245]) ).
tcf(c_38266,plain,
! [X0: $i] :
( coll(sK23,sK23,sK20)
| cyclic(sK20,X0,sK23,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38262,c_37562]) ).
tcf(c_38284,plain,
coll(sK23,sK23,sK20),
inference(global_subsumption_just,[status(thm)],[c_38266,c_11710]) ).
tcf(c_38372,plain,
! [X0: $i] :
( midp(sK23,X0,sK23)
| ~ midp(sK22,X0,sK22)
| ~ coll(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_38167,c_94]) ).
tcf(c_38373,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK26,X1,sK20)
| ~ midp(X0,sK23,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7098,c_94]) ).
tcf(c_38374,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK27,X1,sK21)
| ~ midp(X0,sK25,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7099,c_94]) ).
tcf(c_38381,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK23,X1,sK20)
| ~ midp(sK26,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_37768,c_94]) ).
tcf(c_38382,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK25,X1,sK21)
| ~ midp(sK27,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_37769,c_94]) ).
tcf(c_38394,plain,
! [X0: $i] :
( midp(sK23,X0,sK22)
| ~ midp(sK21,X0,sK23)
| ~ coll(sK23,X0,sK22) ),
inference(superposition,[status(thm)],[c_37841,c_94]) ).
tcf(c_38401,plain,
( midp(sK23,sK22,sK22)
| ~ midp(sK21,sK22,sK23)
| ~ coll(sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_38394]) ).
tcf(c_38554,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK26,X0,sK23,X2)
| ~ midp(sK26,X2,X1)
| ~ midp(X0,sK23,X1) ),
inference(superposition,[status(thm)],[c_37787,c_8123]) ).
tcf(c_38638,plain,
( para(sK23,sK25,sK23,sK25)
| ~ coll(sK24,sK23,sK29) ),
inference(superposition,[status(thm)],[c_37851,c_8233]) ).
tcf(c_38642,plain,
! [X0: $i] :
( perp(sK26,X0,sK22,sK23)
| ~ midp(X0,sK23,sK21) ),
inference(superposition,[status(thm)],[c_164,c_8358]) ).
tcf(c_38684,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK23,sK22,X0,X1,sK22,X1,X0)
| ~ midp(sK22,sK23,sK21)
| ~ circle(sK26,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_38642,c_97]) ).
tcf(c_38722,plain,
para(sK23,sK25,sK23,sK25),
inference(global_subsumption_just,[status(thm)],[c_38638,c_169,c_168,c_7340,c_8498,c_25669]) ).
tcf(c_38724,plain,
! [X0: $i] :
( midp(sK25,X0,sK25)
| ~ midp(sK23,X0,sK23)
| ~ coll(sK25,X0,sK25) ),
inference(superposition,[status(thm)],[c_38722,c_94]) ).
tcf(c_38728,plain,
para(sK23,sK25,sK25,sK23),
inference(superposition,[status(thm)],[c_38722,c_52]) ).
tcf(c_38733,plain,
( midp(sK25,sK22,sK25)
| ~ midp(sK23,sK22,sK23)
| ~ coll(sK25,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_38724]) ).
tcf(c_38785,plain,
! [X0: $i] :
( perp(sK23,X0,sK22,sK23)
| ~ midp(sK26,X0,sK21) ),
inference(superposition,[status(thm)],[c_164,c_8366]) ).
tcf(c_38805,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X0)
| ~ midp(X2,sK25,sK21)
| ~ midp(sK27,X1,X0)
| ~ para(sK25,X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_37769,c_113]) ).
tcf(c_38814,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK22,sK21)
| ~ para(sK22,sK23,sK21,sK23) ),
inference(superposition,[status(thm)],[c_34475,c_113]) ).
tcf(c_38817,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ midp(X0,sK23,sK23)
| ~ para(sK23,sK25,sK23,sK25) ),
inference(superposition,[status(thm)],[c_38722,c_113]) ).
tcf(c_38826,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ midp(X0,sK23,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38817,c_38722]) ).
tcf(c_38828,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK22,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_38814,c_34475]) ).
tcf(c_38832,plain,
( midp(sK22,sK25,sK25)
| ~ midp(sK22,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_38826]) ).
tcf(c_38913,plain,
( para(sK20,sK21,sK22,sK23)
| ~ midp(sK26,sK22,sK21) ),
inference(superposition,[status(thm)],[c_38785,c_37902]) ).
tcf(c_39043,plain,
! [X0: $i] :
( para(sK26,sK26,sK23,X0)
| ~ midp(sK26,X0,sK20) ),
inference(superposition,[status(thm)],[c_168,c_38554]) ).
tcf(c_39067,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK26,sK26,X1,X2)
| ~ midp(sK26,X0,sK20)
| ~ para(sK23,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_39043,c_54]) ).
tcf(c_39336,plain,
( circle(sK20,sK22,sK23,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_37874,c_8410]) ).
tcf(c_39340,plain,
( perp(sK22,sK23,sK23,sK23)
| ~ midp(sK21,sK22,sK23)
| ~ coll(sK20,sK22,sK23) ),
inference(superposition,[status(thm)],[c_39336,c_102]) ).
tcf(c_39439,plain,
( perp(sK22,sK23,sK23,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(global_subsumption_just,[status(thm)],[c_39340,c_7252,c_11795,c_13458]) ).
tcf(c_39455,plain,
( para(sK20,sK21,sK23,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_39439,c_37899]) ).
tcf(c_39511,plain,
( para(sK23,sK23,sK20,sK21)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_39455,c_53]) ).
tcf(c_40227,plain,
( midp(sK20,sK22,sK20)
| ~ midp(sK20,sK25,sK20)
| ~ midp(sK27,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7035,c_38374]) ).
tcf(c_40305,plain,
( midp(sK22,sK25,sK23)
| ~ midp(sK23,sK25,sK20)
| ~ midp(sK26,sK22,sK23) ),
inference(superposition,[status(thm)],[c_37546,c_38381]) ).
tcf(c_40561,plain,
( midp(sK22,sK22,sK25)
| ~ midp(sK25,sK22,sK21)
| ~ midp(sK27,sK22,sK25) ),
inference(superposition,[status(thm)],[c_37736,c_38382]) ).
tcf(c_40703,plain,
( midp(sK22,sK22,sK25)
| ~ midp(sK25,sK22,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_40561,c_167,c_164,c_177,c_181,c_235,c_2181,c_6391,c_6395,c_6819,c_6839,c_6877,c_6921,c_6959,c_6976,c_7063,c_7645,c_10320,c_10729,c_12064,c_12067,c_15608,c_16348,c_16595,c_36963]) ).
tcf(c_40829,plain,
( midp(sK23,sK20,sK26)
| ~ midp(sK23,sK23,sK26)
| ~ midp(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_7274,c_38373]) ).
tcf(c_40852,plain,
coll(sK27,sK21,sK21),
inference(superposition,[status(thm)],[c_7505,c_50]) ).
tcf(c_40976,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X0)
| ~ midp(X2,sK25,sK21)
| ~ midp(sK27,X1,X0)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_37769,c_38805]) ).
tcf(c_40978,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X0)
| ~ midp(X2,sK25,sK21)
| ~ midp(sK27,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_40976,c_20062]) ).
tcf(c_41180,plain,
coll(sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_38036,c_49]) ).
tcf(c_41186,plain,
coll(sK22,sK23,sK21),
inference(superposition,[status(thm)],[c_38037,c_50]) ).
tcf(c_41534,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_7223,c_51]) ).
tcf(c_41548,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_7252,c_51]) ).
tcf(c_41583,plain,
( midp(sK27,sK21,sK21)
| ~ midp(sK23,sK21,sK20)
| ~ midp(sK26,sK27,sK21) ),
inference(superposition,[status(thm)],[c_40852,c_38381]) ).
tcf(c_41626,plain,
coll(sK21,sK26,sK20),
inference(superposition,[status(thm)],[c_37866,c_41534]) ).
tcf(c_41658,plain,
! [X0: $i] :
( coll(sK26,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_7361,c_51]) ).
tcf(c_41660,plain,
coll(sK23,sK26,sK23),
inference(superposition,[status(thm)],[c_7361,c_49]) ).
tcf(c_41665,plain,
! [X0: $i] :
( coll(sK27,X0,sK25)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_7488,c_51]) ).
tcf(c_41733,plain,
coll(sK22,sK20,sK23),
inference(superposition,[status(thm)],[c_38284,c_41548]) ).
tcf(c_41804,plain,
coll(sK22,sK25,sK21),
inference(superposition,[status(thm)],[c_7590,c_6911]) ).
tcf(c_41808,plain,
( midp(sK22,sK27,sK21)
| ~ midp(sK25,sK27,sK21)
| ~ midp(sK27,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7605,c_38382]) ).
tcf(c_41813,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_7605,c_50]) ).
tcf(c_41814,plain,
coll(sK22,sK21,sK27),
inference(superposition,[status(thm)],[c_7605,c_49]) ).
tcf(c_41815,plain,
( midp(sK25,sK21,sK22)
| ~ midp(sK25,sK21,sK21)
| ~ midp(sK27,sK25,sK22) ),
inference(superposition,[status(thm)],[c_7645,c_38382]) ).
tcf(c_41816,plain,
( midp(sK25,sK21,sK22)
| ~ midp(sK23,sK21,sK20)
| ~ midp(sK26,sK25,sK22) ),
inference(superposition,[status(thm)],[c_7645,c_38381]) ).
tcf(c_41839,plain,
( midp(sK22,sK23,sK21)
| ~ midp(sK25,sK23,sK21)
| ~ midp(sK27,sK22,sK21) ),
inference(superposition,[status(thm)],[c_41186,c_38382]) ).
tcf(c_41881,plain,
coll(sK26,sK22,sK23),
inference(superposition,[status(thm)],[c_7252,c_41658]) ).
tcf(c_41892,plain,
coll(sK27,sK22,sK25),
inference(superposition,[status(thm)],[c_38052,c_41665]) ).
tcf(c_41937,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_8578,c_50]) ).
tcf(c_41938,plain,
coll(sK22,sK20,sK26),
inference(superposition,[status(thm)],[c_8578,c_49]) ).
tcf(c_42001,plain,
( midp(sK27,sK22,sK25)
| ~ midp(sK25,sK22,sK21)
| ~ midp(sK27,sK27,sK25) ),
inference(superposition,[status(thm)],[c_41892,c_38382]) ).
tcf(c_42006,plain,
coll(sK22,sK27,sK25),
inference(superposition,[status(thm)],[c_41892,c_50]) ).
tcf(c_42009,plain,
( midp(sK22,sK27,sK25)
| ~ midp(sK23,sK27,sK20)
| ~ midp(sK26,sK22,sK25) ),
inference(superposition,[status(thm)],[c_42006,c_38381]) ).
tcf(c_42014,plain,
coll(sK22,sK25,sK27),
inference(superposition,[status(thm)],[c_42006,c_49]) ).
tcf(c_42154,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_41626,c_50]) ).
tcf(c_42176,plain,
coll(sK20,sK22,sK23),
inference(superposition,[status(thm)],[c_41733,c_50]) ).
tcf(c_42294,plain,
coll(sK22,sK21,sK25),
inference(superposition,[status(thm)],[c_41804,c_49]) ).
tcf(c_42328,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK20,X0,X1)
| ~ para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_8436,c_54]) ).
tcf(c_42330,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_8436,c_52]) ).
tcf(c_42333,plain,
( midp(sK27,sK22,sK21)
| ~ midp(sK25,sK22,sK21)
| ~ midp(sK27,sK27,sK21) ),
inference(superposition,[status(thm)],[c_41813,c_38382]) ).
tcf(c_42336,plain,
( midp(sK27,sK22,sK21)
| ~ midp(sK27,sK23,sK21)
| ~ midp(sK26,sK22,sK20) ),
inference(superposition,[status(thm)],[c_41813,c_38373]) ).
tcf(c_42340,plain,
( midp(sK22,sK21,sK27)
| ~ midp(sK25,sK21,sK21)
| ~ midp(sK27,sK22,sK27) ),
inference(superposition,[status(thm)],[c_41814,c_38382]) ).
tcf(c_42342,plain,
( midp(sK22,sK21,sK27)
| ~ midp(sK27,sK21,sK21)
| ~ midp(sK22,sK25,sK27) ),
inference(superposition,[status(thm)],[c_41814,c_38374]) ).
tcf(c_42345,plain,
coll(sK21,sK22,sK27),
inference(superposition,[status(thm)],[c_41814,c_50]) ).
tcf(c_42490,plain,
coll(sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_41937,c_49]) ).
tcf(c_42499,plain,
coll(sK21,sK26,sK22),
inference(superposition,[status(thm)],[c_41938,c_37683]) ).
tcf(c_42514,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_42330,c_113]) ).
tcf(c_42515,plain,
! [X0: $i] :
( midp(sK20,X0,sK20)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_42330,c_94]) ).
tcf(c_42525,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42514,c_42330]) ).
tcf(c_42526,plain,
( midp(sK22,sK20,sK20)
| ~ midp(sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_42525]) ).
tcf(c_42530,plain,
( midp(sK20,sK22,sK20)
| ~ midp(sK21,sK22,sK21)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_42515]) ).
tcf(c_42549,plain,
coll(sK26,sK21,sK22),
inference(superposition,[status(thm)],[c_42499,c_50]) ).
tcf(c_42557,plain,
coll(sK26,sK22,sK21),
inference(superposition,[status(thm)],[c_42549,c_49]) ).
tcf(c_42588,plain,
coll(sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_41180,c_6796]) ).
tcf(c_42644,plain,
coll(sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_42588,c_50]) ).
tcf(c_42646,plain,
( midp(sK23,sK20,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_38016,c_42644]) ).
tcf(c_42654,plain,
coll(sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_42644,c_49]) ).
tcf(c_42755,plain,
coll(sK25,sK22,sK27),
inference(superposition,[status(thm)],[c_42014,c_50]) ).
tcf(c_42884,plain,
( midp(sK25,sK22,sK27)
| ~ midp(sK25,sK22,sK21)
| ~ midp(sK27,sK25,sK27) ),
inference(superposition,[status(thm)],[c_42755,c_38382]) ).
tcf(c_42973,plain,
coll(sK25,sK26,sK23),
inference(superposition,[status(thm)],[c_7361,c_7041]) ).
tcf(c_42977,plain,
( midp(sK26,sK21,sK20)
| ~ midp(sK27,sK21,sK21)
| ~ midp(sK26,sK25,sK20) ),
inference(superposition,[status(thm)],[c_42154,c_38374]) ).
tcf(c_43034,plain,
coll(sK25,sK23,sK26),
inference(superposition,[status(thm)],[c_42973,c_49]) ).
tcf(c_43051,plain,
coll(sK28,sK20,sK22),
inference(superposition,[status(thm)],[c_7348,c_7061]) ).
tcf(c_43087,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_7590,c_7317]) ).
tcf(c_43145,plain,
coll(sK28,sK22,sK20),
inference(superposition,[status(thm)],[c_43051,c_49]) ).
tcf(c_43165,plain,
coll(sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_43087,c_50]) ).
tcf(c_43183,plain,
coll(sK27,sK27,sK21),
inference(superposition,[status(thm)],[c_37961,c_7503]) ).
tcf(c_43193,plain,
coll(sK26,sK21,sK27),
inference(superposition,[status(thm)],[c_43183,c_7318]) ).
tcf(c_43286,plain,
( midp(sK25,sK20,sK21)
| ~ midp(sK25,sK23,sK21)
| ~ midp(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_43165,c_38373]) ).
tcf(c_43373,plain,
( midp(sK22,sK21,sK25)
| ~ midp(sK25,sK21,sK21)
| ~ midp(sK27,sK22,sK25) ),
inference(superposition,[status(thm)],[c_42294,c_38382]) ).
tcf(c_43398,plain,
( midp(sK26,sK21,sK27)
| ~ midp(sK25,sK21,sK21)
| ~ midp(sK27,sK26,sK27) ),
inference(superposition,[status(thm)],[c_43193,c_38382]) ).
tcf(c_43404,plain,
coll(sK26,sK27,sK21),
inference(superposition,[status(thm)],[c_43193,c_49]) ).
tcf(c_43605,plain,
! [X0: $i] :
( coll(sK27,X0,sK21)
| ~ coll(sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_42345,c_51]) ).
tcf(c_43716,plain,
( midp(sK23,sK20,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7896,c_116]) ).
tcf(c_43722,plain,
( cong(sK23,sK21,sK23,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7896,c_72]) ).
tcf(c_43727,plain,
( midp(sK23,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43716,c_42644]) ).
tcf(c_43739,plain,
( cong(sK22,sK21,sK20,sK22)
| ~ midp(sK23,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7897,c_71]) ).
tcf(c_43773,plain,
coll(sK23,sK22,sK26),
inference(superposition,[status(thm)],[c_42490,c_6804]) ).
tcf(c_43781,plain,
coll(sK23,sK26,sK22),
inference(superposition,[status(thm)],[c_43773,c_49]) ).
tcf(c_43850,plain,
! [X0: $i,X1: $i] :
( para(X1,sK21,X0,sK27)
| ~ midp(X0,sK25,X1) ),
inference(superposition,[status(thm)],[c_8058,c_52]) ).
tcf(c_44073,plain,
! [X0: $i,X1: $i] :
( para(X1,sK25,sK21,X0)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_8471,c_53]) ).
tcf(c_44093,plain,
( midp(sK26,sK22,sK21)
| ~ midp(sK25,sK22,sK21)
| ~ midp(sK27,sK26,sK21) ),
inference(superposition,[status(thm)],[c_42557,c_38382]) ).
tcf(c_44308,plain,
( midp(sK20,sK22,sK23)
| ~ midp(sK21,sK23,sK22)
| ~ coll(sK20,sK22,sK23) ),
inference(superposition,[status(thm)],[c_8596,c_116]) ).
tcf(c_44324,plain,
( midp(sK20,sK22,sK23)
| ~ midp(sK21,sK23,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44308,c_42176]) ).
tcf(c_44445,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ coll(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_37881,c_116]) ).
tcf(c_44456,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44445,c_7262]) ).
tcf(c_47256,plain,
coll(sK22,sK26,sK25),
inference(superposition,[status(thm)],[c_43034,c_37684]) ).
tcf(c_47312,plain,
coll(sK26,sK22,sK25),
inference(superposition,[status(thm)],[c_47256,c_50]) ).
tcf(c_47313,plain,
coll(sK22,sK25,sK26),
inference(superposition,[status(thm)],[c_47256,c_49]) ).
tcf(c_47332,plain,
coll(sK26,sK25,sK22),
inference(superposition,[status(thm)],[c_47312,c_49]) ).
tcf(c_47399,plain,
coll(sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_47313,c_6973]) ).
tcf(c_47763,plain,
coll(sK24,sK20,sK28),
inference(superposition,[status(thm)],[c_43145,c_37685]) ).
tcf(c_47934,plain,
coll(sK24,sK28,sK20),
inference(superposition,[status(thm)],[c_47763,c_49]) ).
tcf(c_47981,plain,
coll(sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_47934,c_6977]) ).
tcf(c_48042,plain,
( para(sK26,sK26,sK20,sK21)
| ~ midp(sK21,sK22,sK23)
| ~ midp(sK26,sK23,sK20) ),
inference(superposition,[status(thm)],[c_39511,c_39067]) ).
tcf(c_48043,plain,
( para(sK26,sK26,sK20,sK21)
| ~ midp(sK21,sK22,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48042,c_168]) ).
tcf(c_48070,plain,
! [X0: $i] :
( midp(sK26,X0,sK21)
| ~ midp(sK21,sK22,sK23)
| ~ midp(sK26,X0,sK20)
| ~ coll(sK26,X0,sK21) ),
inference(superposition,[status(thm)],[c_48043,c_94]) ).
tcf(c_48071,plain,
! [X0: $i,X1: $i] :
( perp(sK26,sK26,X0,X1)
| ~ midp(sK21,sK22,sK23)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_48043,c_58]) ).
tcf(c_48081,plain,
( midp(sK26,sK22,sK21)
| ~ midp(sK21,sK22,sK23)
| ~ midp(sK26,sK22,sK20)
| ~ coll(sK26,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_48070]) ).
tcf(c_48339,plain,
coll(sK26,sK22,sK22),
inference(superposition,[status(thm)],[c_47399,c_50]) ).
tcf(c_48506,plain,
( perp(sK26,sK26,sK22,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_164,c_48071]) ).
tcf(c_48545,plain,
( cong(sK26,sK22,sK26,sK23)
| ~ midp(sK21,sK22,sK23)
| ~ midp(sK26,sK22,sK23) ),
inference(superposition,[status(thm)],[c_48506,c_104]) ).
tcf(c_48865,plain,
( cong(sK26,sK22,sK26,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(global_subsumption_just,[status(thm)],[c_48545,c_167,c_177,c_181,c_235,c_2181,c_6381,c_6395,c_6497,c_6834,c_6839,c_6877,c_6921,c_6976,c_7018,c_7063,c_7252,c_7499,c_8008,c_9597,c_9969,c_10729,c_11334,c_12064,c_12067,c_13458,c_15599,c_15606,c_15869,c_16583,c_16591,c_17022,c_26757,c_38401]) ).
tcf(c_48871,plain,
( midp(sK26,sK22,sK23)
| ~ midp(sK21,sK22,sK23)
| ~ coll(sK26,sK22,sK23) ),
inference(superposition,[status(thm)],[c_48865,c_116]) ).
tcf(c_48877,plain,
( cong(sK26,sK23,sK26,sK22)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_48865,c_72]) ).
tcf(c_48884,plain,
( midp(sK26,sK22,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48871,c_41881]) ).
tcf(c_51293,plain,
coll(sK26,sK23,sK22),
inference(superposition,[status(thm)],[c_43781,c_50]) ).
tcf(c_52933,plain,
( midp(sK26,sK23,sK22)
| ~ midp(sK21,sK22,sK23)
| ~ coll(sK26,sK23,sK22) ),
inference(superposition,[status(thm)],[c_48877,c_116]) ).
tcf(c_52944,plain,
( midp(sK26,sK23,sK22)
| ~ midp(sK21,sK22,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_52933,c_51293]) ).
tcf(c_53807,plain,
( midp(sK26,sK22,sK22)
| ~ midp(sK26,sK23,sK22)
| ~ midp(sK26,sK22,sK20) ),
inference(superposition,[status(thm)],[c_48339,c_38373]) ).
tcf(c_54502,plain,
( midp(sK23,sK26,sK23)
| ~ midp(sK22,sK26,sK22) ),
inference(superposition,[status(thm)],[c_41660,c_38372]) ).
tcf(c_55206,plain,
coll(sK27,sK23,sK21),
inference(superposition,[status(thm)],[c_41180,c_43605]) ).
tcf(c_55263,plain,
midp(sK20,sK22,sK20),
inference(global_subsumption_just,[status(thm)],[c_40227,c_167,c_164,c_177,c_181,c_235,c_2181,c_6381,c_6391,c_6395,c_6839,c_6877,c_6921,c_6959,c_6976,c_7035,c_7063,c_7321,c_7648,c_10314,c_10729,c_12064,c_12067,c_24251,c_38733,c_42530]) ).
tcf(c_55272,plain,
midp(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_55263,c_59]) ).
tcf(c_55788,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK22,X1)
| ~ midp(sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_55272,c_112]) ).
tcf(c_55793,plain,
( para(sK20,sK22,sK22,sK22)
| ~ midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_55788]) ).
tcf(c_56043,plain,
para(sK25,sK23,sK23,sK25),
inference(superposition,[status(thm)],[c_38728,c_53]) ).
tcf(c_56130,plain,
! [X0: $i] :
( midp(X0,sK23,sK25)
| ~ midp(X0,sK25,sK23)
| ~ para(sK25,sK25,sK23,sK23) ),
inference(superposition,[status(thm)],[c_56043,c_113]) ).
tcf(c_56139,plain,
( midp(sK22,sK23,sK25)
| ~ midp(sK22,sK25,sK23)
| ~ para(sK25,sK25,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_56130]) ).
tcf(c_56258,plain,
! [X0: $i] :
( cong(X0,sK20,X0,sK20)
| ~ midp(X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_56259,plain,
( cong(sK22,sK20,sK22,sK20)
| ~ midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_56258]) ).
tcf(c_57219,plain,
midp(sK20,sK22,sK23),
inference(global_subsumption_just,[status(thm)],[c_44324,c_167,c_164,c_177,c_181,c_186,c_235,c_2181,c_6391,c_6395,c_6414,c_6839,c_6877,c_6921,c_6928,c_6959,c_6976,c_7063,c_7252,c_7608,c_8008,c_10320,c_10729,c_12064,c_12067,c_13458,c_15608,c_17909,c_19179,c_24768,c_26188,c_30160,c_30652,c_36374,c_36887,c_36963,c_38832,c_42526,c_56259]) ).
tcf(c_57221,plain,
cong(sK21,sK22,sK21,sK23),
inference(backward_subsumption_resolution,[status(thm)],[c_8871,c_57219]) ).
tcf(c_57321,plain,
( midp(sK21,sK22,sK23)
| ~ coll(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_57221,c_116]) ).
tcf(c_57334,plain,
midp(sK21,sK22,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_57321,c_41180]) ).
tcf(c_57398,plain,
midp(sK26,sK22,sK23),
inference(backward_subsumption_resolution,[status(thm)],[c_48884,c_57334]) ).
tcf(c_57661,plain,
( midp(sK22,sK25,sK23)
| ~ midp(sK23,sK25,sK20) ),
inference(backward_subsumption_resolution,[status(thm)],[c_40305,c_57398]) ).
tcf(c_59012,plain,
! [X0: $i] :
( midp(X0,sK25,sK21)
| ~ midp(X0,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_15600]) ).
tcf(c_59013,plain,
( midp(sK22,sK25,sK21)
| ~ midp(sK22,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_59012]) ).
tcf(c_59196,plain,
( midp(sK23,sK23,sK20)
| ~ midp(sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_15598]) ).
tcf(c_60024,plain,
midp(sK23,sK26,sK23),
inference(global_subsumption_just,[status(thm)],[c_54502,c_168,c_167,c_164,c_177,c_181,c_186,c_235,c_2181,c_6381,c_6384,c_6391,c_6395,c_6414,c_6497,c_6528,c_6839,c_6877,c_6921,c_6928,c_6959,c_6976,c_7018,c_7063,c_7252,c_7499,c_7608,c_8008,c_9969,c_10320,c_10507,c_10729,c_12064,c_12067,c_13458,c_15599,c_15606,c_15608,c_16583,c_17022,c_17909,c_18796,c_19179,c_20734,c_24768,c_25652,c_26188,c_26757,c_27471,c_28628,c_30160,c_30652,c_36374,c_36887,c_36963,c_38832,c_42526,c_56259]) ).
tcf(c_60030,plain,
midp(sK23,sK23,sK26),
inference(superposition,[status(thm)],[c_60024,c_59]) ).
tcf(c_60038,plain,
( midp(sK23,sK20,sK26)
| ~ midp(sK26,sK20,sK20) ),
inference(backward_subsumption_resolution,[status(thm)],[c_40829,c_60030]) ).
tcf(c_60650,plain,
! [X0: $i,X1: $i] :
( para(X1,sK21,sK22,sK27)
| ~ midp(X0,sK21,sK27)
| ~ midp(X0,X1,sK22) ),
inference(instantiation,[status(thm)],[c_19000]) ).
tcf(c_60651,plain,
( para(sK22,sK21,sK22,sK27)
| ~ midp(sK22,sK21,sK27)
| ~ midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_60650]) ).
tcf(c_61349,plain,
( midp(sK23,sK21,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK23,sK21,sK20) ),
inference(superposition,[status(thm)],[c_43722,c_116]) ).
tcf(c_61360,plain,
( midp(sK23,sK21,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61349,c_42654]) ).
tcf(c_62123,plain,
cong(sK22,sK21,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_43739,c_170,c_167,c_164,c_177,c_181,c_186,c_235,c_2181,c_6378,c_6381,c_6391,c_6395,c_6414,c_6473,c_6497,c_6839,c_6877,c_6921,c_6928,c_6959,c_6976,c_7018,c_7063,c_7499,c_7608,c_9623,c_9969,c_10320,c_10729,c_12064,c_12067,c_15599,c_15608,c_16583,c_16885,c_17909,c_19179,c_19826,c_24768,c_26188,c_28628,c_28917,c_30160,c_30652,c_36374,c_36887,c_36963,c_38832,c_42526,c_52944,c_53807,c_56259]) ).
tcf(c_62127,plain,
cong(sK22,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_62123,c_71]) ).
tcf(c_62660,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK21,sK27)
| ~ midp(X1,sK25,X0)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK27,X1,sK21) ),
inference(superposition,[status(thm)],[c_43850,c_113]) ).
tcf(c_62689,plain,
( midp(sK22,sK21,sK27)
| ~ midp(sK22,sK25,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ para(sK22,sK27,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_62660]) ).
tcf(c_63904,plain,
( midp(sK26,sK21,sK27)
| ~ midp(sK26,sK27,sK21)
| ~ para(sK27,sK21,sK21,sK27)
| ~ para(sK27,sK27,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_7631]) ).
tcf(c_64130,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK25,X1)
| ~ midp(sK27,sK25,sK21)
| ~ coll(X0,sK25,X1)
| ~ para(sK27,X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_26182]) ).
tcf(c_64643,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK27,X2,sK21)
| ~ coll(sK27,X2,sK21)
| ~ midp(X0,X2,X1)
| ~ para(X0,sK27,X1,sK21) ),
inference(instantiation,[status(thm)],[c_26185]) ).
tcf(c_64788,plain,
! [X0: $i] :
( para(X0,sK27,sK25,sK21)
| ~ midp(sK27,sK25,sK21)
| ~ midp(X0,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_6402]) ).
tcf(c_64790,plain,
( para(sK22,sK27,sK25,sK21)
| ~ midp(sK27,sK25,sK21)
| ~ midp(sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_64788]) ).
tcf(c_64854,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK25)
| ~ midp(sK27,X1,sK25)
| ~ midp(X0,sK25,sK21) ),
inference(superposition,[status(thm)],[c_44073,c_38805]) ).
tcf(c_64863,plain,
( midp(sK22,sK22,sK25)
| ~ midp(sK27,sK22,sK25)
| ~ midp(sK22,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_64854]) ).
tcf(c_64890,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK27,sK23,X2)
| ~ coll(sK27,sK23,X2)
| ~ midp(X0,sK23,X1)
| ~ para(X0,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_26181]) ).
tcf(c_65600,plain,
( midp(sK22,sK21,sK20)
| ~ coll(sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_62127,c_116]) ).
tcf(c_65606,plain,
cong(sK22,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_62127,c_72]) ).
tcf(c_65611,plain,
midp(sK22,sK21,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_65600,c_37528]) ).
tcf(c_65622,plain,
midp(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_65611,c_59]) ).
tcf(c_65625,plain,
midp(sK23,sK21,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_61360,c_65622]) ).
tcf(c_65637,plain,
midp(sK23,sK20,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_43727,c_65622]) ).
tcf(c_65725,plain,
( midp(sK25,sK21,sK22)
| ~ midp(sK26,sK25,sK22) ),
inference(backward_subsumption_resolution,[status(thm)],[c_41816,c_65625]) ).
tcf(c_65730,plain,
( midp(sK27,sK21,sK21)
| ~ midp(sK26,sK27,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_41583,c_65625]) ).
tcf(c_65736,plain,
midp(sK21,sK20,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_44456,c_65637]) ).
tcf(c_66761,plain,
( midp(sK26,sK25,sK20)
| ~ midp(sK27,sK25,sK21)
| ~ coll(sK26,sK25,sK20)
| ~ para(sK27,sK26,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_64130]) ).
tcf(c_66762,plain,
( para(sK27,sK26,sK21,sK20)
| ~ midp(sK27,sK23,sK21)
| ~ midp(sK26,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_6400]) ).
tcf(c_66764,plain,
( midp(sK23,sK25,sK20)
| ~ midp(sK27,sK25,sK21)
| ~ coll(sK23,sK25,sK20)
| ~ para(sK27,sK23,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_64130]) ).
tcf(c_66765,plain,
( para(sK27,sK23,sK21,sK20)
| ~ midp(sK26,sK23,sK20)
| ~ midp(sK26,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_6404]) ).
tcf(c_67637,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK26,sK25,X2)
| ~ coll(sK26,sK25,X2)
| ~ midp(X0,sK25,X1)
| ~ para(X0,sK26,X1,X2) ),
inference(instantiation,[status(thm)],[c_26183]) ).
tcf(c_67639,plain,
( midp(sK26,sK25,sK22)
| ~ midp(sK22,sK25,sK22)
| ~ coll(sK26,sK25,sK22)
| ~ para(sK22,sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_67637]) ).
tcf(c_69257,plain,
! [X0: $i,X1: $i] :
( midp(sK27,X1,sK21)
| ~ coll(sK27,X1,sK21)
| ~ midp(X0,X1,sK25)
| ~ para(X0,sK27,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_64643]) ).
tcf(c_69258,plain,
( midp(sK27,sK22,sK21)
| ~ midp(sK22,sK22,sK25)
| ~ coll(sK27,sK22,sK21)
| ~ para(sK22,sK27,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_69257]) ).
tcf(c_69491,plain,
! [X0: $i] :
( midp(sK27,sK23,sK21)
| ~ coll(sK27,sK23,sK21)
| ~ midp(X0,sK23,sK25)
| ~ para(X0,sK27,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_64890]) ).
tcf(c_69492,plain,
( midp(sK27,sK23,sK21)
| ~ midp(sK22,sK23,sK25)
| ~ coll(sK27,sK23,sK21)
| ~ para(sK22,sK27,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_69491]) ).
tcf(c_69597,plain,
( para(sK21,sK20,sK22,sK23)
| ~ midp(sK26,sK22,sK21) ),
inference(superposition,[status(thm)],[c_38913,c_42328]) ).
tcf(c_69671,plain,
para(sK21,sK20,sK22,sK23),
inference(global_subsumption_just,[status(thm)],[c_69597,c_167,c_164,c_177,c_181,c_186,c_235,c_2181,c_6381,c_6391,c_6395,c_6414,c_6497,c_6839,c_6877,c_6921,c_6928,c_6959,c_6976,c_7018,c_7063,c_7499,c_7608,c_10320,c_10729,c_12064,c_12067,c_15599,c_15608,c_16583,c_17909,c_19179,c_24768,c_26188,c_28504,c_28628,c_30160,c_30652,c_36374,c_36748,c_36887,c_36963,c_38832,c_42526,c_48081,c_56259]) ).
tcf(c_69677,plain,
para(sK22,sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_69671,c_53]) ).
tcf(c_69702,plain,
! [X0: $i,X1: $i] :
( midp(sK27,X0,X1)
| ~ midp(sK27,sK25,sK21)
| ~ para(sK25,X1,sK21,X0)
| ~ para(sK25,X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_30461]) ).
tcf(c_69954,plain,
para(sK22,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_69677,c_52]) ).
tcf(c_70013,plain,
para(sK23,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_69954,c_38039]) ).
tcf(c_70316,plain,
para(sK20,sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_70013,c_53]) ).
tcf(c_70529,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK23)
| ~ para(sK20,sK21,sK23,sK21) ),
inference(superposition,[status(thm)],[c_70316,c_113]) ).
tcf(c_70540,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_70529,c_70316]) ).
tcf(c_73720,plain,
( midp(sK22,sK27,sK21)
| ~ midp(sK27,sK22,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_41808,c_169,c_167,c_164,c_177,c_181,c_235,c_2181,c_6391,c_6395,c_6403,c_6839,c_6877,c_6921,c_6959,c_6976,c_7063,c_10320,c_10729,c_12064,c_12067,c_18830,c_21931,c_34538,c_38832]) ).
tcf(c_73736,plain,
( midp(sK25,sK21,sK22)
| ~ midp(sK25,sK21,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_41815,c_167,c_164,c_177,c_181,c_186,c_235,c_2181,c_6381,c_6391,c_6395,c_6414,c_6497,c_6819,c_6839,c_6877,c_6921,c_6928,c_6959,c_6976,c_7018,c_7063,c_7252,c_7499,c_7608,c_7645,c_8008,c_9969,c_10320,c_10729,c_11979,c_12064,c_12067,c_12365,c_13458,c_15599,c_15601,c_15606,c_15608,c_16583,c_16595,c_17022,c_17909,c_19179,c_20993,c_24768,c_26188,c_26757,c_28504,c_28628,c_29888,c_30160,c_30652,c_33466,c_35545,c_36374,c_36887,c_36963,c_38832,c_42526,c_47332,c_48081,c_56259,c_59013,c_59196,c_64863,c_65725,c_67639]) ).
tcf(c_73870,plain,
midp(sK22,sK23,sK21),
inference(global_subsumption_just,[status(thm)],[c_41839,c_167,c_164,c_177,c_181,c_186,c_235,c_2181,c_6381,c_6391,c_6395,c_6414,c_6497,c_6839,c_6877,c_6921,c_6928,c_6959,c_6976,c_7018,c_7063,c_7252,c_7499,c_7608,c_8008,c_9969,c_10320,c_10729,c_12064,c_12067,c_13458,c_15599,c_15606,c_15608,c_16583,c_17022,c_17909,c_19179,c_20993,c_24768,c_26188,c_26757,c_28504,c_28628,c_30160,c_30652,c_33466,c_36374,c_36887,c_36963,c_38832,c_42526,c_48081,c_56259,c_59196]) ).
tcf(c_73922,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK23,sK22,X0,X1,sK22,X1,X0)
| ~ circle(sK26,sK22,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_38684,c_73870]) ).
tcf(c_74545,plain,
midp(sK27,sK22,sK25),
inference(global_subsumption_just,[status(thm)],[c_42001,c_167,c_164,c_177,c_181,c_235,c_2181,c_6391,c_6395,c_6819,c_6839,c_6877,c_6921,c_6959,c_6976,c_7063,c_7645,c_10320,c_10729,c_12064,c_12067,c_15608,c_16595,c_36963]) ).
tcf(c_74551,plain,
( midp(sK22,sK21,sK25)
| ~ midp(sK25,sK21,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_43373,c_74545]) ).
tcf(c_74562,plain,
midp(sK27,sK25,sK22),
inference(superposition,[status(thm)],[c_74545,c_59]) ).
tcf(c_74563,plain,
! [X0: $i] :
( midp(X0,sK25,sK22)
| ~ midp(X0,sK25,sK21) ),
inference(superposition,[status(thm)],[c_74545,c_40978]) ).
tcf(c_74577,plain,
( midp(sK22,sK25,sK22)
| ~ midp(sK22,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_74563]) ).
tcf(c_74706,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK25,X0,sK21,X2)
| ~ midp(sK25,X1,sK21)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_74716,plain,
( midp(sK27,sK23,sK26)
| ~ midp(sK27,sK25,sK21)
| ~ para(sK25,sK23,sK21,sK26)
| ~ para(sK25,sK26,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_69702]) ).
tcf(c_74717,plain,
( para(sK25,sK26,sK21,sK23)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK26,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_6527]) ).
tcf(c_74769,plain,
midp(sK22,sK27,sK25),
inference(global_subsumption_just,[status(thm)],[c_42009,c_169,c_167,c_164,c_177,c_181,c_235,c_2181,c_6385,c_6391,c_6395,c_6563,c_6839,c_6877,c_6921,c_6959,c_6976,c_7063,c_10320,c_10729,c_12064,c_12067,c_15608,c_25890,c_36963]) ).
tcf(c_74774,plain,
midp(sK22,sK25,sK27),
inference(superposition,[status(thm)],[c_74769,c_59]) ).
tcf(c_74779,plain,
( midp(sK22,sK21,sK27)
| ~ midp(sK27,sK21,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_42342,c_74774]) ).
tcf(c_75051,plain,
( midp(sK26,sK27,sK21)
| ~ midp(sK26,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_15602]) ).
tcf(c_75052,plain,
! [X0: $i,X1: $i] :
( midp(sK26,sK27,sK21)
| ~ coll(sK26,sK27,sK21)
| ~ midp(X0,sK27,X1)
| ~ para(X0,sK26,X1,sK21) ),
inference(instantiation,[status(thm)],[c_26183]) ).
tcf(c_75053,plain,
( midp(sK26,sK27,sK21)
| ~ midp(sK22,sK27,sK22)
| ~ coll(sK26,sK27,sK21)
| ~ para(sK22,sK26,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_75052]) ).
tcf(c_75054,plain,
! [X0: $i,X1: $i] :
( midp(sK26,sK27,sK21)
| ~ midp(sK26,X0,X1)
| ~ para(X0,sK21,X1,sK27)
| ~ para(X0,sK27,X1,sK21) ),
inference(instantiation,[status(thm)],[c_30460]) ).
tcf(c_75055,plain,
( midp(sK26,sK27,sK21)
| ~ midp(sK26,sK22,sK22)
| ~ para(sK22,sK21,sK22,sK27)
| ~ para(sK22,sK27,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_75054]) ).
tcf(c_77236,plain,
( midp(sK27,sK22,sK21)
| ~ midp(sK25,sK22,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_42333,c_169,c_167,c_164,c_177,c_181,c_235,c_2181,c_6391,c_6395,c_6839,c_6877,c_6910,c_6921,c_6959,c_6976,c_7063,c_7506,c_10320,c_10729,c_12064,c_12067,c_38832,c_40703,c_64790,c_69258]) ).
tcf(c_77244,plain,
( midp(sK27,sK22,sK21)
| ~ midp(sK27,sK23,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_42336,c_167,c_164,c_177,c_181,c_186,c_235,c_2181,c_6381,c_6391,c_6395,c_6414,c_6497,c_6839,c_6877,c_6921,c_6928,c_6959,c_6976,c_7018,c_7063,c_7499,c_7608,c_10320,c_10729,c_12064,c_12067,c_15599,c_15608,c_16583,c_19179,c_24768,c_27928,c_28628,c_30160,c_36374,c_36887,c_36963,c_38832,c_42526,c_56259]) ).
tcf(c_77248,plain,
( midp(sK22,sK21,sK27)
| ~ midp(sK25,sK21,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_42340,c_167,c_164,c_177,c_181,c_235,c_2181,c_6391,c_6395,c_6819,c_6839,c_6877,c_6921,c_6959,c_6976,c_7063,c_7645,c_10320,c_10729,c_12064,c_12067,c_15608,c_16595,c_25759,c_29888,c_36963,c_59013,c_62689,c_74562,c_74577]) ).
tcf(c_79529,plain,
midp(sK25,sK22,sK27),
inference(global_subsumption_just,[status(thm)],[c_42884,c_167,c_164,c_177,c_181,c_235,c_2181,c_6391,c_6395,c_6826,c_6839,c_6877,c_6921,c_6959,c_6976,c_7063,c_10320,c_10729,c_12064,c_12067,c_14674,c_15608,c_25885,c_36963]) ).
tcf(c_79531,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK27,X1)
| ~ midp(sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_79529,c_112]) ).
tcf(c_79535,plain,
( para(sK22,sK22,sK27,sK22)
| ~ midp(sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_79531]) ).
tcf(c_79962,plain,
( midp(sK26,sK21,sK20)
| ~ midp(sK27,sK21,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_42977,c_169,c_168,c_167,c_163,c_164,c_177,c_181,c_186,c_235,c_2181,c_6376,c_6381,c_6384,c_6391,c_6395,c_6414,c_6464,c_6495,c_6497,c_6839,c_6877,c_6921,c_6928,c_6959,c_6976,c_7018,c_7063,c_7499,c_7608,c_9969,c_10320,c_10729,c_12064,c_12067,c_12305,c_12760,c_15337,c_15599,c_15608,c_16583,c_17272,c_17517,c_17851,c_17909,c_19179,c_24768,c_26188,c_28169,c_28298,c_28628,c_28697,c_30160,c_30652,c_31967,c_32209,c_36374,c_36887,c_36963,c_38832,c_42526,c_48884,c_55206,c_56139,c_56259,c_57661,c_60651,c_64790,c_66761,c_66762,c_66764,c_66765,c_69492,c_74562,c_74779,c_75055]) ).
tcf(c_81062,plain,
( midp(sK26,sK21,sK27)
| ~ midp(sK25,sK21,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_43398,c_169,c_167,c_163,c_164,c_177,c_181,c_186,c_235,c_2181,c_6376,c_6381,c_6391,c_6395,c_6414,c_6464,c_6497,c_6839,c_6877,c_6921,c_6928,c_6947,c_6959,c_6976,c_7018,c_7063,c_7499,c_7608,c_10320,c_10729,c_12064,c_12067,c_15599,c_15608,c_16583,c_16845,c_17851,c_17909,c_19179,c_20717,c_24768,c_25759,c_26188,c_28298,c_28628,c_30160,c_30652,c_36374,c_36887,c_36963,c_38832,c_42526,c_48884,c_56259,c_60651,c_63904,c_73720,c_73736,c_74551,c_74562,c_75055,c_77236,c_77248]) ).
tcf(c_81608,plain,
midp(sK26,sK21,sK21),
inference(superposition,[status(thm)],[c_37562,c_70540]) ).
tcf(c_81726,plain,
midp(sK26,sK20,sK20),
inference(superposition,[status(thm)],[c_81608,c_42525]) ).
tcf(c_81736,plain,
midp(sK23,sK20,sK26),
inference(backward_subsumption_resolution,[status(thm)],[c_60038,c_81726]) ).
tcf(c_83963,plain,
midp(sK26,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_44093,c_167,c_164,c_177,c_181,c_186,c_235,c_2181,c_6381,c_6391,c_6395,c_6414,c_6497,c_6839,c_6877,c_6921,c_6928,c_6959,c_6976,c_7018,c_7063,c_7499,c_7608,c_10320,c_10729,c_12064,c_12067,c_15599,c_15608,c_16583,c_17909,c_19179,c_24768,c_26188,c_28504,c_28628,c_30160,c_30652,c_36374,c_36887,c_36963,c_38832,c_42526,c_48081,c_56259]) ).
tcf(c_84126,plain,
midp(sK26,sK23,sK23),
inference(superposition,[status(thm)],[c_83963,c_38828]) ).
tcf(c_85765,plain,
! [X0: $i,X1: $i] :
( midp(sK25,sK23,sK21)
| ~ midp(sK25,X0,X1)
| ~ para(X0,sK23,X1,sK21)
| ~ para(X0,sK21,X1,sK23) ),
inference(instantiation,[status(thm)],[c_30456]) ).
tcf(c_85766,plain,
( midp(sK25,sK23,sK21)
| ~ midp(sK25,sK22,sK22)
| ~ para(sK22,sK23,sK22,sK21)
| ~ para(sK22,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_85765]) ).
tcf(c_85768,plain,
! [X0: $i,X1: $i] :
( midp(sK25,sK23,sK21)
| ~ coll(sK25,sK23,sK21)
| ~ midp(X0,sK23,X1)
| ~ para(X0,sK25,X1,sK21) ),
inference(instantiation,[status(thm)],[c_26181]) ).
tcf(c_85769,plain,
( midp(sK25,sK23,sK21)
| ~ midp(sK22,sK23,sK22)
| ~ coll(sK25,sK23,sK21)
| ~ para(sK22,sK25,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_85768]) ).
tcf(c_86055,plain,
coll(sK28,sK27,sK26),
inference(superposition,[status(thm)],[c_171,c_49]) ).
tcf(c_86071,plain,
midp(sK22,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_8633,c_8633,c_42646,c_65736]) ).
tcf(c_86108,plain,
coll(sK27,sK25,sK21),
inference(superposition,[status(thm)],[c_169,c_118]) ).
tcf(c_86156,plain,
perp(sK22,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_86239,plain,
! [X0: $i] :
( coll(sK26,X0,sK28)
| ~ coll(sK28,sK27,X0) ),
inference(superposition,[status(thm)],[c_86055,c_51]) ).
tcf(c_86314,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK21,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_86071,c_93]) ).
tcf(c_86331,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,X1,sK21)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_86314,c_52]) ).
tcf(c_86363,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK20,X1)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_112]) ).
tcf(c_86364,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK21,X1)
| ~ midp(sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_169,c_112]) ).
tcf(c_86423,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_86108,c_6794]) ).
tcf(c_86430,plain,
( perp(sK20,sK21,sK21,sK23)
| ~ coll(sK24,sK20,sK23) ),
inference(superposition,[status(thm)],[c_165,c_102]) ).
tcf(c_86438,plain,
( cong(sK22,sK20,sK22,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_86156,c_104]) ).
tcf(c_86462,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_86156,c_57]) ).
tcf(c_86465,plain,
perp(sK20,sK21,sK21,sK23),
inference(global_subsumption_just,[status(thm)],[c_86430,c_170,c_2186,c_6378,c_6473,c_7018,c_9623,c_9969,c_28917]) ).
tcf(c_86469,plain,
perp(sK21,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_86465,c_56]) ).
tcf(c_86474,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_7590,c_49]) ).
tcf(c_86496,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK23,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_86469,c_57]) ).
tcf(c_86756,plain,
cong(sK22,sK20,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_86438,c_65606]) ).
tcf(c_86758,plain,
! [X0: $i] :
( circle(sK22,sK20,X0,sK21)
| ~ cong(sK22,sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_86756,c_60]) ).
tcf(c_86783,plain,
circle(sK22,sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_86756,c_86758]) ).
tcf(c_86828,plain,
para(sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_164,c_86462]) ).
tcf(c_86953,plain,
! [X0: $i] :
( midp(sK23,X0,sK23)
| ~ midp(sK22,X0,sK22)
| ~ coll(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_86828,c_94]) ).
tcf(c_86954,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK26,X1,sK20)
| ~ midp(X0,sK23,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7098,c_94]) ).
tcf(c_86955,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK27,X1,sK21)
| ~ midp(X0,sK25,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7099,c_94]) ).
tcf(c_86962,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK23,X1,sK20)
| ~ midp(sK26,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_86363,c_94]) ).
tcf(c_86963,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK25,X1,sK21)
| ~ midp(sK27,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_86364,c_94]) ).
tcf(c_87056,plain,
! [X0: $i] :
( perp(sK26,X0,sK22,sK23)
| ~ midp(X0,sK23,sK21) ),
inference(superposition,[status(thm)],[c_164,c_8358]) ).
tcf(c_87211,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK23,sK22,X0,X1,sK22,X1,X0)
| ~ midp(sK22,sK23,sK21)
| ~ circle(sK26,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_87056,c_97]) ).
tcf(c_88703,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK23,sK22,X0,X1,sK22,X1,X0)
| ~ circle(sK26,sK22,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_87211,c_73922]) ).
tcf(c_88714,plain,
! [X0: $i] :
( para(sK22,sK23,sK22,sK22)
| ~ circle(sK26,sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_88703,c_87]) ).
tcf(c_89080,plain,
para(sK22,sK23,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_88714,c_167,c_164,c_177,c_181,c_186,c_235,c_2181,c_6391,c_6395,c_6839,c_6877,c_6921,c_6928,c_6959,c_6976,c_7063,c_7608,c_8240,c_10320,c_10729,c_12064,c_12067,c_15608,c_19179,c_24768,c_26307,c_30160,c_36374,c_36887,c_36963,c_38832,c_42526,c_56259]) ).
tcf(c_89085,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ para(sK22,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_89080,c_54]) ).
tcf(c_89347,plain,
( midp(sK23,sK20,sK26)
| ~ midp(sK23,sK23,sK26)
| ~ midp(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_7274,c_86954]) ).
tcf(c_89386,plain,
coll(sK23,sK26,sK23),
inference(superposition,[status(thm)],[c_7361,c_49]) ).
tcf(c_89407,plain,
coll(sK27,sK21,sK21),
inference(superposition,[status(thm)],[c_7505,c_50]) ).
tcf(c_89689,plain,
coll(sK25,sK21,sK21),
inference(superposition,[status(thm)],[c_86474,c_50]) ).
tcf(c_89989,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ coll(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_86783,c_102]) ).
tcf(c_89990,plain,
perp(sK20,sK21,sK21,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_89989,c_163]) ).
tcf(c_90191,plain,
( midp(sK23,sK26,sK23)
| ~ midp(sK22,sK26,sK22) ),
inference(superposition,[status(thm)],[c_89386,c_86953]) ).
tcf(c_90203,plain,
( midp(sK27,sK21,sK21)
| ~ midp(sK27,sK23,sK21)
| ~ midp(sK26,sK21,sK20) ),
inference(superposition,[status(thm)],[c_89407,c_86954]) ).
tcf(c_90220,plain,
midp(sK23,sK26,sK23),
inference(global_subsumption_just,[status(thm)],[c_90191,c_168,c_167,c_164,c_177,c_181,c_186,c_235,c_2181,c_6381,c_6384,c_6391,c_6395,c_6414,c_6497,c_6528,c_6839,c_6877,c_6921,c_6928,c_6959,c_6976,c_7018,c_7063,c_7252,c_7499,c_7608,c_8008,c_9969,c_10320,c_10507,c_10729,c_12064,c_12067,c_13458,c_15599,c_15606,c_15608,c_16583,c_17022,c_17909,c_18796,c_19179,c_20734,c_24768,c_25652,c_26188,c_26757,c_27471,c_28628,c_30160,c_30652,c_36374,c_36887,c_36963,c_38832,c_42526,c_56259]) ).
tcf(c_90227,plain,
midp(sK23,sK23,sK26),
inference(superposition,[status(thm)],[c_90220,c_59]) ).
tcf(c_90228,plain,
( midp(sK23,sK20,sK26)
| ~ midp(sK26,sK20,sK20) ),
inference(backward_subsumption_resolution,[status(thm)],[c_89347,c_90227]) ).
tcf(c_90229,plain,
midp(sK23,sK20,sK26),
inference(global_subsumption_just,[status(thm)],[c_90228,c_81736]) ).
tcf(c_90234,plain,
midp(sK23,sK26,sK20),
inference(superposition,[status(thm)],[c_90229,c_59]) ).
tcf(c_90887,plain,
( midp(sK25,sK21,sK21)
| ~ midp(sK25,sK25,sK21)
| ~ midp(sK27,sK21,sK21) ),
inference(superposition,[status(thm)],[c_89689,c_86955]) ).
tcf(c_90888,plain,
( midp(sK25,sK21,sK21)
| ~ midp(sK25,sK23,sK21)
| ~ midp(sK26,sK21,sK20) ),
inference(superposition,[status(thm)],[c_89689,c_86954]) ).
tcf(c_91189,plain,
coll(sK27,sK27,sK21),
inference(superposition,[status(thm)],[c_86423,c_7503]) ).
tcf(c_91200,plain,
coll(sK28,sK21,sK27),
inference(superposition,[status(thm)],[c_91189,c_6955]) ).
tcf(c_91207,plain,
coll(sK28,sK27,sK21),
inference(superposition,[status(thm)],[c_91200,c_49]) ).
tcf(c_92066,plain,
! [X0: $i] :
( para(sK22,sK23,X0,sK21)
| ~ midp(sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_86331,c_89085]) ).
tcf(c_92067,plain,
( para(sK22,sK23,sK22,sK21)
| ~ midp(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_92066]) ).
tcf(c_92364,plain,
coll(sK26,sK21,sK28),
inference(superposition,[status(thm)],[c_91207,c_86239]) ).
tcf(c_92396,plain,
coll(sK26,sK28,sK21),
inference(superposition,[status(thm)],[c_92364,c_49]) ).
tcf(c_93291,plain,
para(sK21,sK23,sK21,sK21),
inference(superposition,[status(thm)],[c_89990,c_86496]) ).
tcf(c_93308,plain,
para(sK21,sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_93291,c_53]) ).
tcf(c_93391,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_93308,c_115]) ).
tcf(c_93491,plain,
coll(sK27,sK23,sK21),
inference(superposition,[status(thm)],[c_93391,c_7503]) ).
tcf(c_93495,plain,
( midp(sK27,sK23,sK21)
| ~ midp(sK25,sK23,sK21)
| ~ midp(sK27,sK27,sK21) ),
inference(superposition,[status(thm)],[c_93491,c_86963]) ).
tcf(c_93501,plain,
coll(sK27,sK21,sK23),
inference(superposition,[status(thm)],[c_93491,c_49]) ).
tcf(c_93570,plain,
coll(sK27,sK21,sK26),
inference(superposition,[status(thm)],[c_92396,c_6792]) ).
tcf(c_93635,plain,
coll(sK27,sK26,sK21),
inference(superposition,[status(thm)],[c_93570,c_49]) ).
tcf(c_94125,plain,
coll(sK25,sK23,sK27),
inference(superposition,[status(thm)],[c_93501,c_6806]) ).
tcf(c_94140,plain,
coll(sK23,sK25,sK27),
inference(superposition,[status(thm)],[c_94125,c_50]) ).
tcf(c_94150,plain,
coll(sK22,sK27,sK23),
inference(superposition,[status(thm)],[c_94140,c_6790]) ).
tcf(c_94164,plain,
coll(sK27,sK22,sK23),
inference(superposition,[status(thm)],[c_94150,c_50]) ).
tcf(c_94359,plain,
coll(sK27,sK23,sK22),
inference(superposition,[status(thm)],[c_94164,c_49]) ).
tcf(c_94418,plain,
( midp(sK27,sK26,sK21)
| ~ midp(sK23,sK26,sK20)
| ~ midp(sK26,sK27,sK21) ),
inference(superposition,[status(thm)],[c_93635,c_86962]) ).
tcf(c_94424,plain,
( midp(sK27,sK26,sK21)
| ~ midp(sK26,sK27,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_94418,c_90234]) ).
tcf(c_94466,plain,
( midp(sK27,sK23,sK22)
| ~ midp(sK27,sK25,sK22)
| ~ midp(sK27,sK23,sK21) ),
inference(superposition,[status(thm)],[c_94359,c_86955]) ).
tcf(c_99795,plain,
( midp(sK27,sK21,sK21)
| ~ midp(sK27,sK23,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_90203,c_167,c_164,c_177,c_181,c_235,c_2181,c_6391,c_6395,c_6826,c_6839,c_6877,c_6921,c_6959,c_6976,c_7063,c_10320,c_10729,c_12064,c_12067,c_14674,c_15608,c_22162,c_25557,c_25885,c_28703,c_31073,c_34783,c_36785,c_36963,c_38832,c_43404,c_65730,c_74562,c_75053,c_77244,c_81726,c_94466]) ).
tcf(c_100937,plain,
( midp(sK25,sK21,sK21)
| ~ midp(sK27,sK21,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_90887,c_167,c_164,c_177,c_181,c_186,c_235,c_2181,c_6381,c_6391,c_6395,c_6414,c_6497,c_6819,c_6839,c_6877,c_6921,c_6928,c_6959,c_6976,c_7063,c_7608,c_7645,c_10320,c_10729,c_11341,c_12064,c_12067,c_12764,c_15482,c_15599,c_15608,c_16211,c_16595,c_19179,c_19986,c_24768,c_28628,c_28697,c_30160,c_36374,c_36887,c_36963,c_38832,c_42526,c_56259,c_74562,c_79962,c_85769]) ).
tcf(c_100941,plain,
( midp(sK25,sK21,sK21)
| ~ midp(sK25,sK23,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_90888,c_169,c_167,c_164,c_177,c_181,c_235,c_2181,c_6391,c_6395,c_6819,c_6839,c_6877,c_6921,c_6959,c_6976,c_7063,c_7645,c_10320,c_10729,c_12064,c_12067,c_15608,c_16595,c_18449,c_36963,c_38832,c_55206,c_64790,c_69492,c_99795,c_100937]) ).
tcf(c_106243,plain,
! [X0: $i] :
( para(sK25,sK23,sK21,sK26)
| ~ midp(sK25,X0,sK21)
| ~ midp(sK23,X0,sK26) ),
inference(instantiation,[status(thm)],[c_74706]) ).
tcf(c_106244,plain,
( para(sK25,sK23,sK21,sK26)
| ~ midp(sK25,sK22,sK21)
| ~ midp(sK23,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_106243]) ).
tcf(c_112135,plain,
( midp(sK27,sK23,sK21)
| ~ midp(sK25,sK23,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_93495,c_169,c_167,c_164,c_177,c_181,c_235,c_2181,c_6391,c_6395,c_6819,c_6839,c_6877,c_6921,c_6959,c_6976,c_7063,c_7645,c_10320,c_10729,c_12064,c_12067,c_15608,c_16595,c_18449,c_36963,c_38832,c_55206,c_64790,c_69492]) ).
tcf(c_120528,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK24,sK23,X2)
| ~ coll(sK24,sK23,X2)
| ~ midp(X0,sK23,X1)
| ~ para(X0,sK24,X1,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_120542,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK24,sK20,X2)
| ~ coll(sK24,sK20,X2)
| ~ midp(X0,sK20,X1)
| ~ para(X0,sK24,X1,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_120600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK26,sK24,X2,X3)
| ~ eqangle(sK26,sK24,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_120612,plain,
! [X0: $i] :
( para(sK26,sK24,sK23,X0)
| ~ midp(sK24,sK20,X0) ),
inference(instantiation,[status(thm)],[c_7100]) ).
tcf(c_120619,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK26,sK24,X1,X2)
| ~ midp(sK24,sK23,X0)
| ~ para(sK20,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_8123]) ).
tcf(c_120620,plain,
( para(sK26,sK24,sK22,sK22)
| ~ midp(sK24,sK23,sK22)
| ~ para(sK20,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_120619]) ).
tcf(c_120697,plain,
! [X0: $i] :
( midp(sK25,X0,X0)
| ~ midp(X0,sK25,sK25)
| ~ coll(sK25,X0,X0) ),
inference(instantiation,[status(thm)],[c_8822]) ).
tcf(c_120698,plain,
( midp(sK25,sK22,sK22)
| ~ midp(sK22,sK25,sK25)
| ~ coll(sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_120697]) ).
tcf(c_124188,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK24,sK26,sK24)
| ~ eqangle(sK26,sK24,X0,X1,sK26,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_120600]) ).
tcf(c_124189,plain,
! [X0: $i,X1: $i] :
( eqangle(sK26,sK24,X0,X1,sK26,sK24,X0,X1)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_8768]) ).
tcf(c_124190,plain,
( para(sK26,sK24,sK26,sK24)
| ~ eqangle(sK26,sK24,sK22,sK22,sK26,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_124188]) ).
tcf(c_124191,plain,
( eqangle(sK26,sK24,sK22,sK22,sK26,sK24,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_124189]) ).
tcf(c_124572,plain,
! [X0: $i] :
( midp(sK24,sK23,X0)
| ~ midp(sK24,sK23,sK24)
| ~ coll(sK24,sK23,X0)
| ~ para(sK24,sK24,sK24,X0) ),
inference(instantiation,[status(thm)],[c_120528]) ).
tcf(c_124573,plain,
! [X0: $i] :
( para(sK24,sK24,sK24,X0)
| ~ cong(sK24,sK24,sK24,X0) ),
inference(instantiation,[status(thm)],[c_7718]) ).
tcf(c_124574,plain,
( midp(sK24,sK23,sK22)
| ~ midp(sK24,sK23,sK24)
| ~ coll(sK24,sK23,sK22)
| ~ para(sK24,sK24,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_124572]) ).
tcf(c_124575,plain,
( para(sK24,sK24,sK24,sK22)
| ~ cong(sK24,sK24,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_124573]) ).
tcf(c_128232,plain,
( midp(sK24,sK20,sK24)
| ~ midp(sK26,sK20,sK26)
| ~ coll(sK24,sK20,sK24)
| ~ para(sK26,sK24,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_120542]) ).
tcf(c_131179,plain,
( para(sK26,sK24,sK23,sK24)
| ~ midp(sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_120612]) ).
tcf(c_132172,plain,
! [X0: $i] :
( cong(sK24,sK24,sK24,X0)
| ~ midp(sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_7279]) ).
tcf(c_132173,plain,
( cong(sK24,sK24,sK24,sK22)
| ~ midp(sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_132172]) ).
tcf(c_136252,plain,
( midp(sK24,sK23,sK24)
| ~ midp(sK26,sK23,sK23)
| ~ coll(sK24,sK23,sK24)
| ~ para(sK26,sK24,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_120528]) ).
tcf(c_136253,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_136252,c_132173,c_131179,c_128232,c_124575,c_124574,c_124191,c_124190,c_120698,c_120620,c_112135,c_106244,c_100941,c_94424,c_92067,c_85766,c_84126,c_81726,c_81062,c_79535,c_75051,c_74717,c_74716,c_66762,c_66761,c_56259,c_55793,c_53807,c_52944,c_47981,c_43286,c_42526,c_38832,c_36963,c_36887,c_36822,c_36374,c_31967,c_30899,c_30652,c_30484,c_30244,c_30160,c_28628,c_28505,c_28425,c_26583,c_26527,c_26188,c_25598,c_24768,c_19507,c_19179,c_18891,c_17909,c_17201,c_16583,c_15893,c_15608,c_15606,c_15599,c_14333,c_12189,c_12202,c_12067,c_12064,c_10804,c_10797,c_10729,c_10320,c_7608,c_7499,c_7063,c_7018,c_6976,c_6974,c_6959,c_6928,c_6921,c_6877,c_6841,c_6839,c_6834,c_6830,c_6828,c_6497,c_6490,c_6414,c_6395,c_6391,c_6384,c_6381,c_6380,c_2181,c_235,c_186,c_181,c_177,c_162,c_164,c_163,c_167,c_168,c_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO588+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/5.47 % Computer : n001.cluster.edu
% 0.18/5.47 % Model : x86_64 x86_64
% 0.18/5.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.47 % Memory : 8046.5625MB
% 0.18/5.47 % OS : Linux 6.8.0-71-generic
% 0.18/5.47 % CPULimit : 300
% 0.18/5.47 % WCLimit : 300
% 0.18/5.47 % DateTime : Wed Sep 23 12:35:09 UTC 2026
% 0.18/5.48 % CPUTime :
% 0.18/5.48 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.23/5.53 Running first-order theorem proving
% 0.23/5.53 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
% 0.23/5.55
% 0.23/5.55 % ======== iProver multi-core TPTP/SMT =========
% 0.23/5.55
% 0.23/5.55 % Detected problem language: tptp
% 0.23/5.56 % Proving...
% 121.71/24.18 % SZS status Started for theBenchmark.p
% 121.71/24.18 % SZS status Theorem for theBenchmark.p
% 121.71/24.18
% 121.71/24.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 121.71/24.18
% 121.71/24.18 % ------ iProver source info
% 121.71/24.18
% 121.71/24.18 % git: date: 2026-07-19 20:42:38 +0200
% 121.71/24.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 121.71/24.18 % git: non_committed_changes: false
% 121.71/24.18
% 121.71/24.18 % ------ Parsing...
% 121.71/24.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 121.71/24.18
% 121.71/24.18 % ------ 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 %
% 121.71/24.18
% 121.71/24.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 121.71/24.18
% 121.71/24.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 121.71/24.18 % ------ Proving...
% 121.71/24.18 % ------ Problem Properties
% 121.71/24.18
% 121.71/24.18 %
% 121.71/24.18 % clauses 122
% 121.71/24.18 % conjectures 10
% 121.71/24.18 % EPR 85
% 121.71/24.18 % Horn 112
% 121.71/24.18 % unary 10
% 121.71/24.18 % binary 37
% 121.71/24.18 % lits 338
% 121.71/24.18 % lits eq 4
% 121.71/24.18 % fd_pure 0
% 121.71/24.18 % fd_pseudo 0
% 121.71/24.18 % fd_cond 0
% 121.71/24.18 % fd_pseudo_cond 4
% 121.71/24.18 % AC symbols 0
% 121.71/24.18
% 121.71/24.18 % ------ Input Options Time Limit: Unbounded
% 121.71/24.18
% 121.71/24.18
% 121.71/24.18 % ------
% 121.71/24.18 % Current options:
% 121.71/24.18 % ------
% 121.71/24.18
% 121.71/24.18
% 121.71/24.18 %
% 121.71/24.18
% 121.71/24.18 % ------ Proving...
% 121.71/24.18 %
% 121.71/24.18
% 121.71/24.18 % SZS status Theorem for theBenchmark.p
% 121.71/24.18
% 121.71/24.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 79.23/24.22
% 79.23/24.22
%------------------------------------------------------------------------------