%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO611+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 : n008.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 01:21:38 PM UTC 2026
% Result : Theorem 103.36s 16.46s
% Output : CNFRefutation 103.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 41
% Syntax : Number of formulae : 520 ( 101 unt; 0 def)
% Number of atoms : 1195 ( 8 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1241 ( 566 ~; 565 |; 68 &)
% ( 0 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 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 : 12 ( 12 usr; 10 con; 0-5 aty)
% Number of variables : 1104 ( 0 sgn1079 !; 25 ?; 413 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(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(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f58,axiom,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(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(X7,X4,X6)
& circle(X3,X4,X7,X9)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2) )
=> para(X6,X5,X7,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618073) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X7,X4,X6)
& circle(X3,X4,X7,X9)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2) )
=> para(X6,X5,X7,X2) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(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(f172,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(flattening,[],[f182]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(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(X7,X4,X6)
& circle(X3,X4,X7,X9)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2)
& ~ para(X6,X5,X7,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( coll(X7,X4,X6)
& circle(X3,X4,X7,X9)
& coll(X6,X0,X1)
& perp(X6,X4,X0,X1)
& coll(X5,X0,X2)
& perp(X5,X4,X0,X2)
& circle(X3,X0,X4,X8)
& circle(X3,X0,X1,X2)
& ~ para(X6,X5,X7,X2) ),
inference(flattening,[],[f249]) ).
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(sK27,sK24,sK26)
& circle(sK23,sK24,sK27,sK29)
& coll(sK26,sK20,sK21)
& perp(sK26,sK24,sK20,sK21)
& coll(sK25,sK20,sK22)
& perp(sK25,sK24,sK20,sK22)
& circle(sK23,sK20,sK24,sK28)
& circle(sK23,sK20,sK21,sK22)
& ~ para(sK26,sK25,sK27,sK22) ),
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(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f116]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(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(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(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(f386,plain,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK26,sK24,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK25,sK24,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ para(sK26,sK25,sK27,sK22),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X3,X2,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_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_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X0,X3)
| ~ cyclic(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_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,sK25,sK27,sK22),
inference(cnf_transformation,[],[f392]) ).
tcf(c_163,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f391]) ).
tcf(c_165,negated_conjecture,
perp(sK25,sK24,sK20,sK22),
inference(cnf_transformation,[],[f389]) ).
tcf(c_166,negated_conjecture,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_167,negated_conjecture,
perp(sK26,sK24,sK20,sK21),
inference(cnf_transformation,[],[f387]) ).
tcf(c_168,negated_conjecture,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f386]) ).
tcf(c_176,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_185,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_2195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK11(X1,X2,X3,X0),X1,X1,X0)
| ( X3 != sK22 )
| ( X2 != sK21 )
| ( X1 != sK20 )
| ( X0 != sK23 ) ),
inference(resolution_lifted,[status(thm)],[c_148,c_163]) ).
tcf(c_2196,plain,
perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23),
inference(unflattening,[status(thm)],[c_2195]) ).
tcf(c_2200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ( X3 != sK22 )
| ( X2 != sK21 )
| ( X1 != sK20 )
| ( X0 != sK23 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_163]) ).
tcf(c_2201,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(unflattening,[status(thm)],[c_2200]) ).
tcf(c_6631,plain,
( coll(sK25,sK22,sK20)
| ~ coll(sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6632,plain,
( coll(sK26,sK21,sK20)
| ~ coll(sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6634,plain,
( coll(sK20,sK25,sK22)
| ~ coll(sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6637,plain,
( perp(sK25,sK24,sK22,sK20)
| ~ perp(sK25,sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_6639,plain,
( perp(sK20,sK22,sK25,sK24)
| ~ perp(sK25,sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_6656,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK22)
| ~ perp(sK25,sK24,sK20,sK22)
| ~ perp(X0,X1,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_6684,plain,
( coll(sK22,sK25,sK20)
| ~ coll(sK25,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6687,plain,
! [X0: $i] :
( coll(X0,sK20,sK25)
| ~ coll(sK25,sK22,sK20)
| ~ coll(sK25,sK22,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6688,plain,
( coll(sK20,sK20,sK25)
| ~ coll(sK25,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6687]) ).
tcf(c_6692,plain,
( coll(sK21,sK26,sK20)
| ~ coll(sK26,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6711,plain,
! [X0: $i] :
( coll(X0,sK22,sK20)
| ~ coll(sK20,sK25,sK22)
| ~ coll(sK20,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6732,plain,
( perp(sK22,sK20,sK25,sK24)
| ~ perp(sK25,sK24,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_6742,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_166,c_49]) ).
tcf(c_6743,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_168,c_49]) ).
tcf(c_6757,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_166,c_50]) ).
tcf(c_6758,plain,
coll(sK20,sK26,sK21),
inference(superposition,[status(thm)],[c_168,c_50]) ).
tcf(c_6762,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_6742,c_50]) ).
tcf(c_6768,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK24)
| ~ perp(sK20,sK22,sK25,sK24)
| ~ perp(X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_6835,plain,
( perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_6839,plain,
! [X0: $i,X1: $i] :
( perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23),X0,X1)
| ~ coll(sK23,X0,X1)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_6842,plain,
( perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK20,sK20),sK11(sK20,sK21,sK22,sK23),sK20,sK20)
| ~ coll(sK23,sK20,sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_6839]) ).
tcf(c_6882,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_6905,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6882,c_72]) ).
tcf(c_6913,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6905,c_71]) ).
tcf(c_6935,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_166,c_51]) ).
tcf(c_6938,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_6742,c_51]) ).
tcf(c_6939,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK21,X0) ),
inference(superposition,[status(thm)],[c_6743,c_51]) ).
tcf(c_6941,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_6757,c_51]) ).
tcf(c_6942,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_6758,c_51]) ).
tcf(c_6946,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_6762,c_51]) ).
tcf(c_6957,plain,
( coll(sK20,sK20,sK22)
| ~ coll(sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6946]) ).
tcf(c_6996,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_166,c_6935]) ).
tcf(c_7000,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_6996,c_49]) ).
tcf(c_7002,plain,
( para(sK20,sK22,sK20,sK22)
| ~ perp(sK20,sK22,sK25,sK24)
| ~ perp(sK25,sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6656]) ).
tcf(c_7003,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_7000,c_51]) ).
tcf(c_7073,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_6742,c_6938]) ).
tcf(c_7077,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_7073,c_49]) ).
tcf(c_7128,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_7077,c_51]) ).
tcf(c_7131,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_7128]) ).
tcf(c_7151,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_6743,c_6939]) ).
tcf(c_7155,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_7151,c_49]) ).
tcf(c_7174,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6757,c_6941]) ).
tcf(c_7175,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_7077,c_6941]) ).
tcf(c_7216,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,X2,X0)
| ~ cyclic(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
tcf(c_7224,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_7155,c_6942]) ).
tcf(c_7238,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_7175,c_50]) ).
tcf(c_7303,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK24)
| ~ perp(sK22,sK20,sK25,sK24)
| ~ perp(X0,X1,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_7354,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_7224,c_50]) ).
tcf(c_7427,plain,
perp(sK25,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_55]) ).
tcf(c_7630,plain,
( perp(sK23,sK20,sK11(sK20,sK21,sK22,sK23),sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_7632,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK23,sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20)
| ~ perp(X0,X1,sK11(sK20,sK21,sK22,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_7961,plain,
( para(sK20,sK22,sK22,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_8060,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK25,X0)
| ~ coll(X0,sK20,sK25)
| ~ coll(X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_8249,plain,
( para(sK25,sK24,sK25,sK24)
| ~ perp(sK20,sK22,sK25,sK24)
| ~ perp(sK25,sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6768]) ).
tcf(c_8291,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK24,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7427,c_57]) ).
tcf(c_8314,plain,
( para(sK25,sK24,sK20,sK20)
| ~ perp(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8291]) ).
tcf(c_8619,plain,
! [X0: $i,X1: $i] :
( eqangle(sK25,sK24,X0,X1,sK25,sK24,X0,X1)
| ~ para(sK25,sK24,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_8825,plain,
! [X0: $i,X1: $i] :
( coll(sK23,X1,X0)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_8951,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,X0,X1)
| ~ para(sK20,sK22,sK22,sK20)
| ~ perp(sK22,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_8954,plain,
( perp(sK20,sK22,sK20,sK20)
| ~ perp(sK22,sK20,sK20,sK20)
| ~ para(sK20,sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_8951]) ).
tcf(c_9025,plain,
( coll(sK23,sK22,sK20)
| ~ coll(sK20,sK25,sK23)
| ~ coll(sK20,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_6711]) ).
tcf(c_9870,plain,
perp(sK20,sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_165,c_56]) ).
tcf(c_9871,plain,
perp(sK20,sK21,sK26,sK24),
inference(superposition,[status(thm)],[c_167,c_56]) ).
tcf(c_10103,plain,
( cong(sK25,sK20,sK25,sK22)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_165,c_104]) ).
tcf(c_10148,plain,
( cong(sK25,sK22,sK25,sK20)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_10103,c_72]) ).
tcf(c_10174,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK24,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_57]) ).
tcf(c_10181,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK25,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_9870,c_57]) ).
tcf(c_10182,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK26,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_9871,c_57]) ).
tcf(c_10225,plain,
para(sK25,sK24,sK25,sK24),
inference(superposition,[status(thm)],[c_9870,c_10174]) ).
tcf(c_10269,plain,
! [X0: $i,X1: $i] :
( cong(sK25,sK20,X0,X1)
| ~ midp(sK24,sK20,sK22)
| ~ cong(sK25,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_10103,c_73]) ).
tcf(c_10516,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_165,c_10181]) ).
tcf(c_10529,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_167,c_10182]) ).
tcf(c_10700,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_10704,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10700]) ).
tcf(c_11394,plain,
! [X0: $i] :
( coll(sK23,sK25,X0)
| ~ coll(X0,sK20,sK23)
| ~ coll(X0,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_8060]) ).
tcf(c_11401,plain,
( coll(sK23,sK25,sK20)
| ~ coll(sK20,sK20,sK23)
| ~ coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_11394]) ).
tcf(c_11527,plain,
( para(sK23,sK20,sK23,sK20)
| ~ perp(sK23,sK20,sK11(sK20,sK21,sK22,sK23),sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_7632]) ).
tcf(c_11803,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK22)
| ~ para(X0,X1,sK25,sK24) ),
inference(resolution,[status(thm)],[c_58,c_165]) ).
tcf(c_11805,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ para(X0,X1,sK26,sK24) ),
inference(resolution,[status(thm)],[c_58,c_167]) ).
tcf(c_11806,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ para(sK20,sK20,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_11805]) ).
tcf(c_12127,plain,
( cong(sK25,sK20,sK25,sK20)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_10148,c_10269]) ).
tcf(c_12160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK20,sK22)
| ~ para(X2,X3,sK25,sK24)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_11803,c_57]) ).
tcf(c_12767,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_10516,c_113]) ).
tcf(c_12768,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_10529,c_113]) ).
tcf(c_12773,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK25,sK25)
| ~ para(sK25,sK24,sK25,sK24) ),
inference(superposition,[status(thm)],[c_10225,c_113]) ).
tcf(c_12786,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK25,sK25) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12773,c_10225]) ).
tcf(c_12788,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12768,c_10529]) ).
tcf(c_12789,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12767,c_10516]) ).
tcf(c_12790,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12789]) ).
tcf(c_12791,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12788]) ).
tcf(c_12793,plain,
( midp(sK20,sK24,sK24)
| ~ midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_12786]) ).
tcf(c_12854,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK22)
| ~ para(sK20,sK22,sK25,sK24)
| ~ para(X0,X1,sK25,sK24) ),
inference(resolution,[status(thm)],[c_12160,c_11803]) ).
tcf(c_12855,plain,
( para(sK20,sK20,sK20,sK22)
| ~ para(sK20,sK20,sK25,sK24)
| ~ para(sK20,sK22,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_12854]) ).
tcf(c_13019,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK25,sK24,X0,X1,sK25,sK24)
| ~ eqangle(sK25,sK24,X0,X1,sK25,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_13678,plain,
! [X0: $i] :
( coll(sK20,sK25,sK23)
| ~ coll(sK23,X0,sK20)
| ~ coll(sK23,X0,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_13679,plain,
( coll(sK20,sK25,sK23)
| ~ coll(sK23,sK20,sK20)
| ~ coll(sK23,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_13678]) ).
tcf(c_13821,plain,
( coll(sK23,sK20,sK25)
| ~ coll(sK23,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_8825]) ).
tcf(c_14697,plain,
coll(sK20,sK26,sK21),
inference(superposition,[status(thm)],[c_168,c_50]) ).
tcf(c_14763,plain,
perp(sK26,sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_167,c_55]) ).
tcf(c_14767,plain,
perp(sK20,sK21,sK26,sK24),
inference(superposition,[status(thm)],[c_167,c_56]) ).
tcf(c_14812,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_14697,c_51]) ).
tcf(c_14943,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_14697,c_14812]) ).
tcf(c_15067,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK26,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_14767,c_57]) ).
tcf(c_15266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_69]) ).
tcf(c_15435,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_14763,c_15067]) ).
tcf(c_15497,plain,
! [X0: $i] :
( midp(sK21,X0,sK20)
| ~ midp(sK20,X0,sK21)
| ~ coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_15435,c_94]) ).
tcf(c_15654,plain,
( midp(sK21,sK21,sK20)
| ~ midp(sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_14943,c_15497]) ).
tcf(c_16706,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK20,sK23)
| ~ coll(sK23,X0,sK20)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_16707,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16706]) ).
tcf(c_19639,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK22)
| ~ perp(sK20,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_19640,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ perp(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19639]) ).
tcf(c_19654,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK22,sK20)
| ~ perp(sK22,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_19655,plain,
( perp(sK20,sK20,sK22,sK20)
| ~ perp(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19654]) ).
tcf(c_19809,plain,
! [X0: $i,X1: $i] :
( coll(sK23,X0,X1)
| ~ para(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_19810,plain,
( coll(sK23,sK20,sK20)
| ~ para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_19809]) ).
tcf(c_20121,plain,
( para(sK26,sK25,sK27,sK22)
| ~ para(sK26,sK25,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_20949,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23))
| ~ perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23),X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_20950,plain,
( perp(sK20,sK20,sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK20,sK20),sK11(sK20,sK21,sK22,sK23))
| ~ perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK20,sK20),sK11(sK20,sK21,sK22,sK23),sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20949]) ).
tcf(c_21525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(X1,X2,X4,X4)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_15266,c_92]) ).
tcf(c_21533,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21525]) ).
tcf(c_21613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23))
| ~ perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,X0,X1),sK11(sK20,sK21,sK22,sK23),X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_21614,plain,
( para(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK20,sK20),sK11(sK20,sK21,sK22,sK23))
| ~ perp(sK16(sK11(sK20,sK21,sK22,sK23),sK23,sK20,sK20,sK20),sK11(sK20,sK21,sK22,sK23),sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21613]) ).
tcf(c_23308,plain,
( coll(sK23,sK20,sK22)
| ~ coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_8825]) ).
tcf(c_23526,plain,
midp(sK21,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_15654,c_176,c_2196,c_6835,c_6842,c_7077,c_7131,c_7630,c_10704,c_11527,c_12791,c_15654,c_19810,c_20950,c_21533,c_21614]) ).
tcf(c_23532,plain,
midp(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_23526,c_59]) ).
tcf(c_24263,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_168,c_49]) ).
tcf(c_24273,plain,
midp(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_23532,c_59]) ).
tcf(c_24334,plain,
perp(sK25,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_55]) ).
tcf(c_24351,plain,
perp(sK22,sK20,sK25,sK24),
inference(superposition,[status(thm)],[c_24334,c_56]) ).
tcf(c_24411,plain,
! [X0: $i] :
( coll(sK21,X0,sK26)
| ~ coll(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_168,c_51]) ).
tcf(c_24414,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK21,X0) ),
inference(superposition,[status(thm)],[c_24263,c_51]) ).
tcf(c_24530,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_24263,c_24414]) ).
tcf(c_24554,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_24561,plain,
( cong(sK25,sK20,sK25,sK22)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_165,c_104]) ).
tcf(c_24595,plain,
perp(sK20,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_24554,c_166,c_2196,c_2201,c_6631,c_6634,c_6688,c_6835,c_7630,c_9025,c_11401,c_11527,c_13679,c_13821,c_16707,c_19810,c_23308]) ).
tcf(c_24599,plain,
perp(sK20,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_24595,c_55]) ).
tcf(c_24643,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK24,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_57]) ).
tcf(c_24651,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK20,X0,X1)
| ~ perp(sK25,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_24351,c_57]) ).
tcf(c_24672,plain,
! [X0: $i] :
( circle(sK25,sK20,X0,sK22)
| ~ midp(sK24,sK20,sK22)
| ~ cong(sK25,sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_24561,c_60]) ).
tcf(c_24683,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_24334,c_24651]) ).
tcf(c_24711,plain,
para(sK26,sK24,sK21,sK22),
inference(superposition,[status(thm)],[c_24595,c_24643]) ).
tcf(c_24721,plain,
perp(sK22,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_24599,c_56]) ).
tcf(c_24740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(X0,X4,X2,X3)
| ~ midp(X0,X4,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_117,c_73]) ).
tcf(c_24787,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK24,X0,X1)
| ~ para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_24711,c_54]) ).
tcf(c_25104,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_26073,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,X0,sK22,X1)
| ~ midp(sK24,sK20,sK22)
| ~ cong(sK25,sK20,sK25,X1)
| ~ cong(sK25,sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_24561,c_61]) ).
tcf(c_27972,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_7238,c_49]) ).
tcf(c_27984,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_7354,c_49]) ).
tcf(c_28871,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK20,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_24273,c_93]) ).
tcf(c_29961,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK24)
| ~ para(sK25,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_29962,plain,
( para(sK20,sK20,sK25,sK24)
| ~ para(sK25,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_29961]) ).
tcf(c_29963,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK26,sK24)
| ~ para(sK26,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_29964,plain,
( para(sK20,sK20,sK26,sK24)
| ~ para(sK26,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_29963]) ).
tcf(c_30548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK22,sK20)
| ~ perp(X2,X3,sK22,sK20)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_30549,plain,
( para(sK20,sK20,sK22,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_30548]) ).
tcf(c_30586,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,sK22,sK27)
| ~ perp(sK26,sK25,X0,X1)
| ~ perp(X0,X1,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_30587,plain,
( para(sK26,sK25,sK22,sK27)
| ~ perp(sK20,sK20,sK22,sK27)
| ~ perp(sK26,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_30586]) ).
tcf(c_31110,plain,
( cong(sK22,sK20,sK22,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_24721,c_104]) ).
tcf(c_31112,plain,
perp(sK22,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_24721,c_55]) ).
tcf(c_31114,plain,
cong(sK22,sK20,sK22,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_31110,c_23532]) ).
tcf(c_31135,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_27972,c_51]) ).
tcf(c_31760,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_24530,c_31135]) ).
tcf(c_31761,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_27984,c_31135]) ).
tcf(c_31974,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_31760,c_50]) ).
tcf(c_32238,plain,
coll(sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_31974,c_49]) ).
tcf(c_33548,plain,
! [X0: $i] :
( cyclic(sK20,sK20,sK22,X0)
| ~ midp(sK24,sK20,sK22)
| ~ cong(sK25,sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_12127,c_26073]) ).
tcf(c_33549,plain,
( circle(sK25,sK20,sK20,sK22)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_12127,c_24672]) ).
tcf(c_33848,plain,
coll(sK21,sK22,sK26),
inference(superposition,[status(thm)],[c_32238,c_24411]) ).
tcf(c_33890,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ midp(sK24,sK20,sK22)
| ~ coll(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_33549,c_102]) ).
tcf(c_33891,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ midp(sK24,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33890,c_166]) ).
tcf(c_33894,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK20,X0,X1)
| ~ midp(sK24,sK20,sK22)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_33891,c_57]) ).
tcf(c_33911,plain,
coll(sK21,sK26,sK22),
inference(superposition,[status(thm)],[c_33848,c_49]) ).
tcf(c_34465,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK26,X0) ),
inference(superposition,[status(thm)],[c_33911,c_51]) ).
tcf(c_34470,plain,
( coll(sK22,sK20,sK21)
| ~ coll(sK21,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_34465]) ).
tcf(c_34801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK26,sK25,X2,X3)
| ~ eqangle(sK26,sK25,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_34843,plain,
! [X0: $i] :
( cyclic(sK20,X0,sK22,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_24683,c_25104]) ).
tcf(c_34854,plain,
( cyclic(sK20,sK20,sK22,sK22)
| ~ coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_34843]) ).
tcf(c_35863,plain,
! [X0: $i] :
( para(X0,sK22,sK25,sK24)
| ~ perp(sK22,sK20,sK25,sK24)
| ~ perp(X0,sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_7303]) ).
tcf(c_35865,plain,
( para(sK20,sK22,sK25,sK24)
| ~ perp(sK20,sK22,sK22,sK20)
| ~ perp(sK22,sK20,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_35863]) ).
tcf(c_35882,plain,
! [X0: $i] :
( perp(sK22,X0,sK20,sK22)
| ~ perp(sK20,sK22,sK22,X0) ),
inference(instantiation,[status(thm)],[c_19639]) ).
tcf(c_35885,plain,
( perp(sK22,sK20,sK20,sK22)
| ~ perp(sK20,sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_35882]) ).
tcf(c_36462,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK20,X0,X1)
| ~ cong(sK22,X1,sK20,X1)
| ~ cong(sK22,X0,sK20,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_36463,plain,
( perp(sK22,sK20,sK20,sK20)
| ~ cong(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_36462]) ).
tcf(c_36563,plain,
! [X0: $i,X1: $i] :
( perp(sK26,sK25,X0,X1)
| ~ cong(sK26,X1,sK25,X1)
| ~ cong(sK26,X0,sK25,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_36564,plain,
( perp(sK26,sK25,sK20,sK20)
| ~ cong(sK26,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_36563]) ).
tcf(c_37770,plain,
( cong(sK22,sK21,sK22,sK20)
| ~ midp(sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_31112,c_104]) ).
tcf(c_37779,plain,
cong(sK22,sK21,sK22,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_37770,c_24273]) ).
tcf(c_37788,plain,
( midp(sK22,sK20,sK21)
| ~ coll(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_31114,c_116]) ).
tcf(c_38372,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK20,X2,sK22)
| ~ coll(sK20,X2,sK22)
| ~ midp(X0,X2,X1)
| ~ para(X0,sK20,X1,sK22) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_38373,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK22)
| ~ para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_38372]) ).
tcf(c_38377,plain,
( midp(sK22,sK21,sK20)
| ~ coll(sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_37779,c_116]) ).
tcf(c_38382,plain,
! [X0: $i] :
( cong(sK22,X0,sK22,sK20)
| ~ midp(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_37779,c_24740]) ).
tcf(c_38389,plain,
midp(sK22,sK21,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_38377,c_31761]) ).
tcf(c_38394,plain,
( cong(sK22,sK20,sK22,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_38382]) ).
tcf(c_40713,plain,
( cyclic(sK20,sK20,sK22,sK22)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_24561,c_33548]) ).
tcf(c_41174,plain,
cyclic(sK20,sK20,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_40713,c_7174,c_34854]) ).
tcf(c_41176,plain,
( perp(sK22,sK20,sK20,sK22)
| ~ cong(sK20,sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_41174,c_106]) ).
tcf(c_41179,plain,
cyclic(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_41174,c_63]) ).
tcf(c_41215,plain,
cyclic(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_41179,c_64]) ).
tcf(c_41325,plain,
cyclic(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_41215,c_62]) ).
tcf(c_41564,plain,
( para(sK26,sK25,sK26,sK25)
| ~ eqangle(sK26,sK25,sK25,sK24,sK26,sK25,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_34801]) ).
tcf(c_41565,plain,
( eqangle(sK26,sK25,sK25,sK24,sK26,sK25,sK25,sK24)
| ~ eqangle(sK25,sK24,sK26,sK25,sK25,sK24,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_13019]) ).
tcf(c_41811,plain,
! [X0: $i] :
( para(sK26,sK24,sK20,X0)
| ~ midp(sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_28871,c_24787]) ).
tcf(c_41816,plain,
( para(sK26,sK24,sK20,sK20)
| ~ midp(sK22,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_41811]) ).
tcf(c_41898,plain,
cyclic(sK22,sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_41325,c_63]) ).
tcf(c_41901,plain,
( perp(sK20,sK22,sK22,sK20)
| ~ cong(sK22,sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_41898,c_106]) ).
tcf(c_42371,plain,
perp(sK22,sK20,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_41176,c_168,c_6632,c_6692,c_34470,c_35885,c_37788,c_38394,c_41901]) ).
tcf(c_42375,plain,
perp(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_42371,c_56]) ).
tcf(c_42381,plain,
! [X0: $i] :
( cong(sK22,X0,sK20,X0)
| ~ midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_42371,c_101]) ).
tcf(c_42384,plain,
( cong(sK22,sK20,sK20,sK20)
| ~ midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_42381]) ).
tcf(c_42476,plain,
! [X0: $i] :
( cong(sK20,X0,sK22,X0)
| ~ midp(X0,sK20,sK20) ),
inference(superposition,[status(thm)],[c_42375,c_101]) ).
tcf(c_42478,plain,
( para(sK20,sK20,sK22,sK20)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_42375,c_33894]) ).
tcf(c_42878,plain,
para(sK20,sK20,sK22,sK20),
inference(global_subsumption_just,[status(thm)],[c_42478,c_176,c_185,c_2196,c_6835,c_6842,c_7077,c_7131,c_7630,c_10704,c_11527,c_12790,c_19655,c_19810,c_20950,c_21533,c_21614,c_30549,c_36463,c_42384]) ).
tcf(c_42880,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK20,sK22)
| ~ para(sK20,sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_42878,c_113]) ).
tcf(c_42886,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_42880,c_42878]) ).
tcf(c_43113,plain,
perp(sK20,sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_165,c_56]) ).
tcf(c_43114,plain,
perp(sK20,sK21,sK26,sK24),
inference(superposition,[status(thm)],[c_167,c_56]) ).
tcf(c_43133,plain,
perp(sK20,sK21,sK24,sK26),
inference(superposition,[status(thm)],[c_43114,c_55]) ).
tcf(c_43184,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_166,c_51]) ).
tcf(c_43233,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_166,c_43184]) ).
tcf(c_43236,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_43233,c_49]) ).
tcf(c_43339,plain,
( cong(sK25,sK20,sK25,sK22)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_165,c_104]) ).
tcf(c_43340,plain,
( cong(sK26,sK20,sK26,sK21)
| ~ midp(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_167,c_104]) ).
tcf(c_43393,plain,
( cong(sK26,sK21,sK26,sK20)
| ~ midp(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_43340,c_72]) ).
tcf(c_43416,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK24,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_57]) ).
tcf(c_43417,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK24,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_57]) ).
tcf(c_43423,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK25,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_43113,c_57]) ).
tcf(c_43447,plain,
! [X0: $i] :
( circle(sK25,sK20,X0,sK22)
| ~ midp(sK24,sK20,sK22)
| ~ cong(sK25,sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_43339,c_60]) ).
tcf(c_43448,plain,
! [X0: $i] :
( circle(sK26,sK20,X0,sK21)
| ~ midp(sK24,sK20,sK21)
| ~ cong(sK26,sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_43340,c_60]) ).
tcf(c_43489,plain,
para(sK26,sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_43133,c_43417]) ).
tcf(c_43511,plain,
para(sK24,sK26,sK26,sK24),
inference(superposition,[status(thm)],[c_43489,c_53]) ).
tcf(c_43526,plain,
! [X0: $i,X1: $i] :
( cong(sK26,sK20,X0,X1)
| ~ midp(sK24,sK20,sK21)
| ~ cong(sK26,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_43340,c_73]) ).
tcf(c_43765,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_43833,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_165,c_43423]) ).
tcf(c_43912,plain,
! [X0: $i] :
( midp(sK22,X0,sK22)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_43833,c_94]) ).
tcf(c_43980,plain,
( circle(sK25,sK20,sK22,sK22)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_43339,c_43447]) ).
tcf(c_43983,plain,
( perp(sK20,sK22,sK22,sK22)
| ~ midp(sK24,sK20,sK22)
| ~ coll(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_43980,c_102]) ).
tcf(c_43984,plain,
( perp(sK20,sK22,sK22,sK22)
| ~ midp(sK24,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43983,c_166]) ).
tcf(c_43991,plain,
! [X0: $i] :
( cong(sK20,X0,sK22,X0)
| ~ midp(sK24,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_43984,c_101]) ).
tcf(c_44088,plain,
! [X0: $i] :
( cong(sK20,X0,sK22,X0)
| ~ midp(X0,sK20,sK22) ),
inference(global_subsumption_just,[status(thm)],[c_43991,c_42476,c_42886]) ).
tcf(c_44095,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_44088,c_71]) ).
tcf(c_44097,plain,
( cong(sK20,sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_44095]) ).
tcf(c_44240,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_43393,c_43526]) ).
tcf(c_44580,plain,
! [X0: $i] :
( coll(sK20,sK20,sK22)
| cyclic(sK22,X0,sK20,sK20) ),
inference(superposition,[status(thm)],[c_43833,c_43765]) ).
tcf(c_44593,plain,
coll(sK20,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_44580,c_166,c_6631,c_6684,c_6957]) ).
tcf(c_45285,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK26,X0,X1)
| ~ para(sK26,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_43511,c_54]) ).
tcf(c_45982,plain,
coll(sK22,sK22,sK22),
inference(superposition,[status(thm)],[c_43236,c_7003]) ).
tcf(c_46026,plain,
( midp(sK22,sK22,sK22)
| ~ midp(sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_45982,c_43912]) ).
tcf(c_46238,plain,
( circle(sK25,sK20,sK20,sK22)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_12127,c_43447]) ).
tcf(c_46269,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ midp(sK24,sK20,sK22)
| ~ coll(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_46238,c_102]) ).
tcf(c_46270,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ midp(sK24,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46269,c_166]) ).
tcf(c_46275,plain,
perp(sK20,sK20,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_46270,c_165,c_176,c_2196,c_6639,c_6835,c_6842,c_7002,c_7077,c_7131,c_7630,c_7961,c_8954,c_10704,c_11527,c_12790,c_19640,c_19810,c_20950,c_21533,c_21614,c_36463,c_42384]) ).
tcf(c_46278,plain,
( cong(sK20,sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_46275,c_104]) ).
tcf(c_46279,plain,
perp(sK20,sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_46275,c_56]) ).
tcf(c_46295,plain,
para(sK25,sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_46279,c_43416]) ).
tcf(c_46302,plain,
! [X0: $i,X1: $i] :
( perp(sK25,sK24,X0,X1)
| ~ perp(sK20,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_46295,c_58]) ).
tcf(c_46309,plain,
cong(sK20,sK20,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_46278,c_168,c_166,c_165,c_176,c_2196,c_6631,c_6632,c_6637,c_6684,c_6692,c_6732,c_6835,c_6842,c_6957,c_7077,c_7131,c_7630,c_8314,c_10704,c_11527,c_12790,c_12855,c_19810,c_20950,c_21533,c_21614,c_29962,c_34470,c_35865,c_36463,c_37788,c_38373,c_38394,c_41901,c_42384,c_44097]) ).
tcf(c_46313,plain,
! [X0: $i] :
( circle(sK20,sK20,X0,sK22)
| ~ cong(sK20,sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_46309,c_60]) ).
tcf(c_46320,plain,
cong(sK20,sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_46309,c_72]) ).
tcf(c_46408,plain,
( midp(sK20,sK22,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_46320,c_116]) ).
tcf(c_46419,plain,
midp(sK20,sK22,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_46408,c_7238]) ).
tcf(c_46420,plain,
midp(sK22,sK22,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_46026,c_46419]) ).
tcf(c_47392,plain,
( circle(sK26,sK20,sK20,sK21)
| ~ midp(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_44240,c_43448]) ).
tcf(c_47652,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ midp(sK24,sK20,sK21)
| ~ coll(sK26,sK20,sK21) ),
inference(superposition,[status(thm)],[c_47392,c_102]) ).
tcf(c_47653,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ midp(sK24,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47652,c_168]) ).
tcf(c_47654,plain,
perp(sK20,sK20,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_47653,c_11806,c_29964,c_38389,c_41816]) ).
tcf(c_48601,plain,
perp(sK25,sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_47654,c_46302]) ).
tcf(c_48606,plain,
perp(sK20,sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_48601,c_56]) ).
tcf(c_48625,plain,
para(sK26,sK24,sK25,sK24),
inference(superposition,[status(thm)],[c_48606,c_43417]) ).
tcf(c_48632,plain,
para(sK26,sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_48625,c_52]) ).
tcf(c_48723,plain,
para(sK24,sK25,sK26,sK24),
inference(superposition,[status(thm)],[c_48632,c_53]) ).
tcf(c_48726,plain,
para(sK24,sK26,sK24,sK25),
inference(superposition,[status(thm)],[c_48632,c_45285]) ).
tcf(c_48924,plain,
circle(sK20,sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_46309,c_46313]) ).
tcf(c_48932,plain,
( perp(sK20,sK22,sK22,sK22)
| ~ coll(sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_48924,c_102]) ).
tcf(c_48933,plain,
perp(sK20,sK22,sK22,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_48932,c_44593]) ).
tcf(c_48935,plain,
( cong(sK20,sK22,sK20,sK22)
| ~ midp(sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_48933,c_104]) ).
tcf(c_48945,plain,
cong(sK20,sK22,sK20,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_48935,c_46420]) ).
tcf(c_50548,plain,
para(sK24,sK25,sK24,sK26),
inference(superposition,[status(thm)],[c_48723,c_52]) ).
tcf(c_54486,plain,
! [X0: $i] :
( midp(X0,sK25,sK26)
| ~ midp(X0,sK24,sK24)
| ~ para(sK24,sK26,sK24,sK25) ),
inference(superposition,[status(thm)],[c_50548,c_113]) ).
tcf(c_54494,plain,
! [X0: $i] :
( midp(X0,sK25,sK26)
| ~ midp(X0,sK24,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_54486,c_48726]) ).
tcf(c_54495,plain,
( midp(sK20,sK25,sK26)
| ~ midp(sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_54494]) ).
tcf(c_62495,plain,
( eqangle(sK25,sK24,sK26,sK25,sK25,sK24,sK26,sK25)
| ~ para(sK25,sK24,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_8619]) ).
tcf(c_71536,plain,
! [X0: $i,X1: $i] :
( eqangle(sK26,sK25,sK27,sK22,X0,X1,sK27,sK22)
| ~ para(sK26,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_71863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK27,sK22,X2,X3)
| ~ eqangle(sK27,sK22,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_72081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK25,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK25,X2,X1)
| ~ para(X0,X1,X2,sK25) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_72105,plain,
! [X0: $i] :
( cong(sK26,X0,sK25,X0)
| ~ midp(X0,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_6913]) ).
tcf(c_72106,plain,
( cong(sK26,sK20,sK25,sK20)
| ~ midp(sK20,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_72105]) ).
tcf(c_72163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK27,sK22,sK26,sK25,X2,X3,X0,X1)
| ~ eqangle(sK26,sK25,sK27,sK22,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_73507,plain,
( eqangle(sK26,sK25,sK27,sK22,sK26,sK25,sK27,sK22)
| ~ para(sK26,sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_71536]) ).
tcf(c_74085,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK27,X0,X1)
| ~ para(X0,X1,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_74167,plain,
! [X0: $i,X1: $i] :
( para(X1,sK25,X1,sK25)
| ~ cyclic(sK25,X0,X1,X1) ),
inference(instantiation,[status(thm)],[c_7216]) ).
tcf(c_74168,plain,
( para(sK20,sK25,sK20,sK25)
| ~ cyclic(sK25,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_74167]) ).
tcf(c_74553,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK22,sK27)
| ~ para(X0,X1,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_76811,plain,
( eqangle(sK27,sK22,sK26,sK25,sK27,sK22,sK26,sK25)
| ~ eqangle(sK26,sK25,sK27,sK22,sK26,sK25,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_72163]) ).
tcf(c_78383,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK25,X0,X1,X0,sK25)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_78385,plain,
( eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK25)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_78383]) ).
tcf(c_81359,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK22,sK27)
| ~ cong(X0,sK22,X1,sK22)
| ~ cong(X0,sK27,X1,sK27) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_81360,plain,
( perp(sK20,sK20,sK22,sK27)
| ~ cong(sK20,sK22,sK20,sK22)
| ~ cong(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_81359]) ).
tcf(c_82473,plain,
! [X0: $i,X1: $i] :
( cyclic(sK25,X0,X1,X1)
| ~ cyclic(X0,sK25,X1,X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_82474,plain,
( cyclic(sK25,sK20,sK20,sK20)
| ~ cyclic(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_82473]) ).
tcf(c_83033,plain,
( para(sK27,sK22,sK27,sK22)
| ~ eqangle(sK27,sK22,sK26,sK25,sK27,sK22,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_71863]) ).
tcf(c_85189,plain,
! [X0: $i] :
( cong(X0,sK27,X0,sK27)
| ~ midp(X0,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_85190,plain,
( cong(sK20,sK27,sK20,sK27)
| ~ midp(sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_85189]) ).
tcf(c_86093,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK25,X0,X1)
| ~ coll(X0,X1,sK25)
| ~ eqangle(X0,X0,X0,sK25,X1,X0,X1,sK25) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_86094,plain,
( cyclic(sK20,sK25,sK20,sK20)
| ~ coll(sK20,sK20,sK25)
| ~ eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_86093]) ).
tcf(c_89409,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK25,sK25)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK25,X1,sK25) ),
inference(instantiation,[status(thm)],[c_72081]) ).
tcf(c_89413,plain,
( midp(sK20,sK25,sK25)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_89409]) ).
tcf(c_89600,plain,
( para(sK27,sK22,sK22,sK27)
| ~ para(sK27,sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_74553]) ).
tcf(c_114776,plain,
( para(sK22,sK27,sK27,sK22)
| ~ para(sK27,sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_74085]) ).
tcf(c_191251,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK22,sK27)
| ~ para(X0,X1,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_191306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK27)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK27,X2,X1)
| ~ para(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_194281,plain,
( para(sK22,sK27,sK22,sK27)
| ~ para(sK22,sK27,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_191251]) ).
tcf(c_203304,plain,
! [X0: $i] :
( midp(X0,sK27,sK27)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK27,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_191306]) ).
tcf(c_203313,plain,
( midp(sK20,sK27,sK27)
| ~ midp(sK20,sK22,sK22)
| ~ para(sK22,sK27,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_203304]) ).
tcf(c_203314,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_203313,c_194281,c_114776,c_89600,c_89413,c_86094,c_85190,c_83033,c_82474,c_81360,c_78385,c_76811,c_74168,c_73507,c_72106,c_62495,c_54495,c_48945,c_41565,c_41564,c_36564,c_30587,c_21614,c_21533,c_20950,c_20121,c_19810,c_12793,c_12790,c_11527,c_10704,c_8249,c_7630,c_7131,c_7077,c_6842,c_6835,c_6688,c_6639,c_6631,c_2196,c_176,c_162,c_165,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO611+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 12:33:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 103.36/16.46 % SZS status Started for theBenchmark.p
% 103.36/16.46 % SZS status Theorem for theBenchmark.p
% 103.36/16.46
% 103.36/16.46 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 103.36/16.46
% 103.36/16.46 % ------ iProver source info
% 103.36/16.46
% 103.36/16.46 % git: date: 2026-07-19 20:42:38 +0200
% 103.36/16.46 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 103.36/16.46 % git: non_committed_changes: false
% 103.36/16.46
% 103.36/16.46 % ------ Parsing...
% 103.36/16.46 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 103.36/16.46
% 103.36/16.46 % ------ 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 %
% 103.36/16.46
% 103.36/16.46 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 103.36/16.46
% 103.36/16.46 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 103.36/16.46 % ------ Proving...
% 103.36/16.46 % ------ Problem Properties
% 103.36/16.46
% 103.36/16.46 %
% 103.36/16.46 % clauses 121
% 103.36/16.46 % conjectures 9
% 103.36/16.46 % EPR 84
% 103.36/16.46 % Horn 111
% 103.36/16.46 % unary 9
% 103.36/16.46 % binary 37
% 103.36/16.46 % lits 337
% 103.36/16.46 % lits eq 4
% 103.36/16.46 % fd_pure 0
% 103.36/16.46 % fd_pseudo 0
% 103.36/16.46 % fd_cond 0
% 103.36/16.46 % fd_pseudo_cond 4
% 103.36/16.46 % AC symbols 0
% 103.36/16.46
% 103.36/16.46 % ------ Input Options Time Limit: Unbounded
% 103.36/16.46
% 103.36/16.46
% 103.36/16.46 % ------
% 103.36/16.46 % Current options:
% 103.36/16.46 % ------
% 103.36/16.46
% 103.36/16.46
% 103.36/16.46 %
% 103.36/16.46
% 103.36/16.46 % ------ Proving...
% 103.36/16.46 %
% 103.36/16.46
% 103.36/16.46 % SZS status Theorem for theBenchmark.p
% 103.36/16.46
% 103.36/16.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 103.36/16.48
% 103.36/16.48
%------------------------------------------------------------------------------