%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO555+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 01:21:27 PM UTC 2026
% Result : Theorem 79.71s 11.90s
% Output : CNFRefutation 79.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 34
% Syntax : Number of formulae : 533 ( 140 unt; 0 def)
% Number of atoms : 1248 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 1309 ( 594 ~; 588 |; 92 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 926 ( 0 sgn 906 !; 20 ?; 339 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X9,X0,X1)
& perp(X9,X3,X0,X1)
& coll(X8,X0,X1)
& perp(X8,X4,X0,X1)
& coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X1,X2)
& perp(X6,X5,X1,X2)
& coll(X5,X0,X1)
& perp(X5,X2,X0,X1)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> cyclic(X7,X8,X9,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012015) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X9,X0,X1)
& perp(X9,X3,X0,X1)
& coll(X8,X0,X1)
& perp(X8,X4,X0,X1)
& coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X1,X2)
& perp(X6,X5,X1,X2)
& coll(X5,X0,X1)
& perp(X5,X2,X0,X1)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2) )
=> cyclic(X7,X8,X9,X6) ),
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(f120,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f120]) ).
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(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(flattening,[],[f164]) ).
fof(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(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(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( coll(X9,X0,X1)
& perp(X9,X3,X0,X1)
& coll(X8,X0,X1)
& perp(X8,X4,X0,X1)
& coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X1,X2)
& perp(X6,X5,X1,X2)
& coll(X5,X0,X1)
& perp(X5,X2,X0,X1)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2)
& ~ cyclic(X7,X8,X9,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( coll(X9,X0,X1)
& perp(X9,X3,X0,X1)
& coll(X8,X0,X1)
& perp(X8,X4,X0,X1)
& coll(X7,X0,X2)
& perp(X7,X5,X0,X2)
& coll(X6,X1,X2)
& perp(X6,X5,X1,X2)
& coll(X5,X0,X1)
& perp(X5,X2,X0,X1)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2)
& ~ cyclic(X7,X8,X9,X6) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK29,sK20,sK21)
& perp(sK29,sK23,sK20,sK21)
& coll(sK28,sK20,sK21)
& perp(sK28,sK24,sK20,sK21)
& coll(sK27,sK20,sK22)
& perp(sK27,sK25,sK20,sK22)
& coll(sK26,sK21,sK22)
& perp(sK26,sK25,sK21,sK22)
& coll(sK25,sK20,sK21)
& perp(sK25,sK22,sK20,sK21)
& coll(sK24,sK20,sK22)
& perp(sK24,sK21,sK20,sK22)
& coll(sK23,sK21,sK22)
& perp(sK23,sK20,sK21,sK22)
& ~ cyclic(sK27,sK28,sK29,sK26) ),
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(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
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(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f319,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(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(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(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f384,plain,
coll(sK29,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK29,sK23,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK28,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK28,sK24,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK27,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK27,sK25,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
coll(sK26,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
perp(sK26,sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
perp(sK25,sK22,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
perp(sK24,sK21,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f396,plain,
coll(sK23,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f397,plain,
perp(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f398,plain,
~ cyclic(sK27,sK28,sK29,sK26),
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_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
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_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
| ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_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_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_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_162,negated_conjecture,
~ cyclic(sK27,sK28,sK29,sK26),
inference(cnf_transformation,[],[f398]) ).
tcf(c_163,negated_conjecture,
perp(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f397]) ).
tcf(c_164,negated_conjecture,
coll(sK23,sK21,sK22),
inference(cnf_transformation,[],[f396]) ).
tcf(c_165,negated_conjecture,
perp(sK24,sK21,sK20,sK22),
inference(cnf_transformation,[],[f395]) ).
tcf(c_166,negated_conjecture,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f394]) ).
tcf(c_167,negated_conjecture,
perp(sK25,sK22,sK20,sK21),
inference(cnf_transformation,[],[f393]) ).
tcf(c_168,negated_conjecture,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f392]) ).
tcf(c_169,negated_conjecture,
perp(sK26,sK25,sK21,sK22),
inference(cnf_transformation,[],[f391]) ).
tcf(c_170,negated_conjecture,
coll(sK26,sK21,sK22),
inference(cnf_transformation,[],[f390]) ).
tcf(c_171,negated_conjecture,
perp(sK27,sK25,sK20,sK22),
inference(cnf_transformation,[],[f389]) ).
tcf(c_172,negated_conjecture,
coll(sK27,sK20,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_173,negated_conjecture,
perp(sK28,sK24,sK20,sK21),
inference(cnf_transformation,[],[f387]) ).
tcf(c_174,negated_conjecture,
coll(sK28,sK20,sK21),
inference(cnf_transformation,[],[f386]) ).
tcf(c_175,negated_conjecture,
perp(sK29,sK23,sK20,sK21),
inference(cnf_transformation,[],[f385]) ).
tcf(c_176,negated_conjecture,
coll(sK29,sK20,sK21),
inference(cnf_transformation,[],[f384]) ).
tcf(c_182,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_185,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_191,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_192,plain,
( circle(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_240,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_4318,negated_conjecture,
coll(sK29,sK20,sK21),
inference(demodulation,[status(thm)],[c_176]) ).
tcf(c_4319,negated_conjecture,
perp(sK29,sK23,sK20,sK21),
inference(demodulation,[status(thm)],[c_175]) ).
tcf(c_4320,negated_conjecture,
coll(sK28,sK20,sK21),
inference(demodulation,[status(thm)],[c_174]) ).
tcf(c_4321,negated_conjecture,
perp(sK28,sK24,sK20,sK21),
inference(demodulation,[status(thm)],[c_173]) ).
tcf(c_4322,negated_conjecture,
coll(sK27,sK20,sK22),
inference(demodulation,[status(thm)],[c_172]) ).
tcf(c_4323,negated_conjecture,
perp(sK27,sK25,sK20,sK22),
inference(demodulation,[status(thm)],[c_171]) ).
tcf(c_4324,negated_conjecture,
coll(sK26,sK21,sK22),
inference(demodulation,[status(thm)],[c_170]) ).
tcf(c_4325,negated_conjecture,
perp(sK26,sK25,sK21,sK22),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_4326,negated_conjecture,
coll(sK25,sK20,sK21),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_4327,negated_conjecture,
perp(sK25,sK22,sK20,sK21),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4328,negated_conjecture,
coll(sK24,sK20,sK22),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4329,negated_conjecture,
perp(sK24,sK21,sK20,sK22),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4330,negated_conjecture,
coll(sK23,sK21,sK22),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4331,negated_conjecture,
perp(sK23,sK20,sK21,sK22),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_5874,plain,
coll(sK23,sK22,sK21),
inference(superposition,[status(thm)],[c_4330,c_49]) ).
tcf(c_5875,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_4328,c_49]) ).
tcf(c_5876,plain,
coll(sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_4326,c_49]) ).
tcf(c_5877,plain,
coll(sK26,sK22,sK21),
inference(superposition,[status(thm)],[c_4324,c_49]) ).
tcf(c_5878,plain,
coll(sK27,sK22,sK20),
inference(superposition,[status(thm)],[c_4322,c_49]) ).
tcf(c_5879,plain,
coll(sK28,sK21,sK20),
inference(superposition,[status(thm)],[c_4320,c_49]) ).
tcf(c_5880,plain,
coll(sK29,sK21,sK20),
inference(superposition,[status(thm)],[c_4318,c_49]) ).
tcf(c_5892,plain,
coll(sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_4330,c_50]) ).
tcf(c_5893,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_4328,c_50]) ).
tcf(c_5894,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_4326,c_50]) ).
tcf(c_5899,plain,
coll(sK22,sK23,sK21),
inference(superposition,[status(thm)],[c_5874,c_50]) ).
tcf(c_5900,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_5875,c_50]) ).
tcf(c_5905,plain,
coll(sK21,sK29,sK20),
inference(superposition,[status(thm)],[c_5880,c_50]) ).
tcf(c_5964,plain,
perp(sK23,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_4331,c_55]) ).
tcf(c_5965,plain,
perp(sK24,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_4329,c_55]) ).
tcf(c_5966,plain,
perp(sK25,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_4327,c_55]) ).
tcf(c_5975,plain,
perp(sK21,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_4331,c_56]) ).
tcf(c_5976,plain,
perp(sK20,sK22,sK24,sK21),
inference(superposition,[status(thm)],[c_4329,c_56]) ).
tcf(c_5977,plain,
perp(sK20,sK21,sK25,sK22),
inference(superposition,[status(thm)],[c_4327,c_56]) ).
tcf(c_5979,plain,
perp(sK20,sK22,sK27,sK25),
inference(superposition,[status(thm)],[c_4323,c_56]) ).
tcf(c_5980,plain,
perp(sK20,sK21,sK28,sK24),
inference(superposition,[status(thm)],[c_4321,c_56]) ).
tcf(c_5981,plain,
perp(sK20,sK21,sK29,sK23),
inference(superposition,[status(thm)],[c_4319,c_56]) ).
tcf(c_6005,plain,
perp(sK21,sK22,sK20,sK23),
inference(superposition,[status(thm)],[c_5975,c_55]) ).
tcf(c_6036,plain,
perp(sK20,sK22,sK21,sK24),
inference(superposition,[status(thm)],[c_5976,c_55]) ).
tcf(c_6038,plain,
perp(sK20,sK21,sK22,sK25),
inference(superposition,[status(thm)],[c_5977,c_55]) ).
tcf(c_6042,plain,
perp(sK20,sK22,sK25,sK27),
inference(superposition,[status(thm)],[c_5979,c_55]) ).
tcf(c_6044,plain,
perp(sK20,sK21,sK24,sK28),
inference(superposition,[status(thm)],[c_5980,c_55]) ).
tcf(c_6046,plain,
perp(sK20,sK21,sK23,sK29),
inference(superposition,[status(thm)],[c_5981,c_55]) ).
tcf(c_6070,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_4330,c_51]) ).
tcf(c_6071,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_4328,c_51]) ).
tcf(c_6072,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_4326,c_51]) ).
tcf(c_6073,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK21,X0) ),
inference(superposition,[status(thm)],[c_4324,c_51]) ).
tcf(c_6077,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK22,X0) ),
inference(superposition,[status(thm)],[c_5874,c_51]) ).
tcf(c_6078,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK22,X0) ),
inference(superposition,[status(thm)],[c_5875,c_51]) ).
tcf(c_6079,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_5876,c_51]) ).
tcf(c_6080,plain,
! [X0: $i] :
( coll(sK21,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_5877,c_51]) ).
tcf(c_6081,plain,
! [X0: $i] :
( coll(sK20,X0,sK27)
| ~ coll(sK27,sK22,X0) ),
inference(superposition,[status(thm)],[c_5878,c_51]) ).
tcf(c_6082,plain,
! [X0: $i] :
( coll(sK20,X0,sK28)
| ~ coll(sK28,sK21,X0) ),
inference(superposition,[status(thm)],[c_5879,c_51]) ).
tcf(c_6083,plain,
! [X0: $i] :
( coll(sK20,X0,sK29)
| ~ coll(sK29,sK21,X0) ),
inference(superposition,[status(thm)],[c_5880,c_51]) ).
tcf(c_6084,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_5892,c_51]) ).
tcf(c_6085,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_5893,c_51]) ).
tcf(c_6086,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_5894,c_51]) ).
tcf(c_6091,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK23,X0) ),
inference(superposition,[status(thm)],[c_5899,c_51]) ).
tcf(c_6092,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK24,X0) ),
inference(superposition,[status(thm)],[c_5900,c_51]) ).
tcf(c_6097,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK29,X0) ),
inference(superposition,[status(thm)],[c_5905,c_51]) ).
tcf(c_6196,plain,
( coll(sK20,sK20,sK21)
| ~ coll(sK21,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_6097]) ).
tcf(c_6207,plain,
( coll(sK21,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6086]) ).
tcf(c_6210,plain,
( coll(sK20,sK20,sK29)
| ~ coll(sK29,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6083]) ).
tcf(c_6211,plain,
( coll(sK20,sK20,sK28)
| ~ coll(sK28,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6082]) ).
tcf(c_6212,plain,
( coll(sK20,sK20,sK27)
| ~ coll(sK27,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6081]) ).
tcf(c_6214,plain,
( coll(sK20,sK20,sK25)
| ~ coll(sK25,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6079]) ).
tcf(c_6215,plain,
( coll(sK20,sK20,sK24)
| ~ coll(sK24,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6078]) ).
tcf(c_6217,plain,
( coll(sK22,sK20,sK26)
| ~ coll(sK26,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6073]) ).
tcf(c_6244,plain,
coll(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_4330,c_6070]) ).
tcf(c_6252,plain,
! [X0: $i] :
( coll(sK23,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6244,c_51]) ).
tcf(c_6262,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_4328,c_6071]) ).
tcf(c_6263,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6262,c_51]) ).
tcf(c_6272,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_4326,c_6072]) ).
tcf(c_6273,plain,
! [X0: $i] :
( coll(sK25,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6272,c_51]) ).
tcf(c_6282,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_4324,c_6073]) ).
tcf(c_6283,plain,
! [X0: $i] :
( coll(sK26,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6282,c_51]) ).
tcf(c_6402,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_5874,c_6077]) ).
tcf(c_6449,plain,
coll(sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_6402,c_49]) ).
tcf(c_6468,plain,
perp(sK20,sK23,sK21,sK22),
inference(superposition,[status(thm)],[c_6005,c_56]) ).
tcf(c_6478,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_5875,c_6078]) ).
tcf(c_6530,plain,
coll(sK23,sK21,sK21),
inference(superposition,[status(thm)],[c_6449,c_50]) ).
tcf(c_6537,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_6478,c_49]) ).
tcf(c_6553,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_5876,c_6079]) ).
tcf(c_6571,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_6553,c_49]) ).
tcf(c_6579,plain,
coll(sK21,sK21,sK26),
inference(superposition,[status(thm)],[c_5877,c_6080]) ).
tcf(c_6622,plain,
( cong(sK23,sK21,sK23,sK22)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_4331,c_104]) ).
tcf(c_6623,plain,
( cong(sK24,sK20,sK24,sK22)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_4329,c_104]) ).
tcf(c_6624,plain,
( cong(sK25,sK20,sK25,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_4327,c_104]) ).
tcf(c_6628,plain,
( cong(sK29,sK20,sK29,sK21)
| ~ midp(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_4319,c_104]) ).
tcf(c_6759,plain,
! [X0: $i,X1: $i] :
( midp(sK23,sK21,sK22)
| ~ coll(sK23,sK21,sK22)
| ~ midp(X0,sK21,X1)
| ~ para(X0,sK23,X1,sK22) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_6760,plain,
( midp(sK23,sK21,sK22)
| ~ midp(sK20,sK21,sK20)
| ~ coll(sK23,sK21,sK22)
| ~ para(sK20,sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6759]) ).
tcf(c_6787,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_6537,c_51]) ).
tcf(c_6788,plain,
coll(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_6537,c_50]) ).
tcf(c_6792,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_6787]) ).
tcf(c_6799,plain,
! [X0: $i] :
( coll(sK26,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6579,c_51]) ).
tcf(c_6804,plain,
( coll(sK26,sK20,sK21)
| ~ coll(sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6799]) ).
tcf(c_6810,plain,
( cong(sK23,sK22,sK23,sK21)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_6622,c_72]) ).
tcf(c_6835,plain,
( cong(sK24,sK22,sK24,sK20)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6623,c_72]) ).
tcf(c_6853,plain,
( cong(sK25,sK21,sK25,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6624,c_72]) ).
tcf(c_6910,plain,
! [X0: $i,X1: $i] :
( para(sK23,sK20,X0,X1)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_4331,c_57]) ).
tcf(c_6911,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK21,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_4329,c_57]) ).
tcf(c_6913,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,X0,X1)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_4325,c_57]) ).
tcf(c_6924,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK22,X0,X1)
| ~ perp(sK23,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_5975,c_57]) ).
tcf(c_6925,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK24,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_5976,c_57]) ).
tcf(c_6926,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK25,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_5977,c_57]) ).
tcf(c_7102,plain,
! [X0: $i] :
( circle(sK23,sK21,X0,sK22)
| ~ midp(sK20,sK21,sK22)
| ~ cong(sK23,sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_6622,c_60]) ).
tcf(c_7103,plain,
! [X0: $i] :
( circle(sK24,sK20,X0,sK22)
| ~ midp(sK21,sK20,sK22)
| ~ cong(sK24,sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_6623,c_60]) ).
tcf(c_7104,plain,
! [X0: $i] :
( circle(sK25,sK20,X0,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ cong(sK25,sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_6624,c_60]) ).
tcf(c_7213,plain,
! [X0: $i] :
( circle(sK29,sK20,X0,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ cong(sK29,sK20,sK29,X0) ),
inference(superposition,[status(thm)],[c_6628,c_60]) ).
tcf(c_7236,plain,
para(sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_5975,c_6910]) ).
tcf(c_7238,plain,
para(sK23,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_6005,c_6910]) ).
tcf(c_7281,plain,
! [X0: $i,X1: $i] :
( cong(sK23,sK21,X0,X1)
| ~ midp(sK20,sK21,sK22)
| ~ cong(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6622,c_73]) ).
tcf(c_7282,plain,
! [X0: $i,X1: $i] :
( cong(sK24,sK20,X0,X1)
| ~ midp(sK21,sK20,sK22)
| ~ cong(sK24,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6623,c_73]) ).
tcf(c_7283,plain,
! [X0: $i,X1: $i] :
( cong(sK25,sK20,X0,X1)
| ~ midp(sK22,sK20,sK21)
| ~ cong(sK25,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_6624,c_73]) ).
tcf(c_7450,plain,
coll(sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_7236,c_115]) ).
tcf(c_7490,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_5892,c_6084]) ).
tcf(c_7491,plain,
coll(sK22,sK21,sK21),
inference(superposition,[status(thm)],[c_6449,c_6084]) ).
tcf(c_7581,plain,
! [X0: $i] :
( coll(sK20,X0,sK23)
| ~ coll(sK23,sK20,X0) ),
inference(superposition,[status(thm)],[c_7450,c_51]) ).
tcf(c_7586,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7581]) ).
tcf(c_7587,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_7490,c_51]) ).
tcf(c_7589,plain,
coll(sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_7490,c_49]) ).
tcf(c_7592,plain,
( coll(sK21,sK20,sK22)
| ~ coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_7587]) ).
tcf(c_7681,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_5893,c_6085]) ).
tcf(c_7719,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_7491,c_50]) ).
tcf(c_7857,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_5894,c_6086]) ).
tcf(c_7858,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_6571,c_6086]) ).
tcf(c_8253,plain,
! [X0: $i] :
( midp(sK20,X0,sK23)
| ~ midp(sK23,X0,sK20)
| ~ coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_7238,c_94]) ).
tcf(c_8368,plain,
( midp(sK20,sK20,sK23)
| ~ midp(sK23,sK20,sK20)
| ~ coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_8253]) ).
tcf(c_8448,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_7719,c_49]) ).
tcf(c_8788,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_7858,c_50]) ).
tcf(c_8894,plain,
coll(sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_7681,c_6252]) ).
tcf(c_9144,plain,
coll(sK24,sK21,sK22),
inference(superposition,[status(thm)],[c_7490,c_6263]) ).
tcf(c_9151,plain,
! [X0: $i] :
( coll(sK26,sK21,X0)
| ~ coll(sK26,X0,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_9154,plain,
( coll(sK26,sK21,sK20)
| ~ coll(sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_9151]) ).
tcf(c_9458,plain,
coll(sK25,sK22,sK21),
inference(superposition,[status(thm)],[c_8448,c_6273]) ).
tcf(c_9495,plain,
coll(sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_7681,c_6283]) ).
tcf(c_9954,plain,
coll(sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_8894,c_49]) ).
tcf(c_11428,plain,
coll(sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_9144,c_49]) ).
tcf(c_12741,plain,
coll(sK25,sK21,sK22),
inference(superposition,[status(thm)],[c_9458,c_49]) ).
tcf(c_12781,plain,
para(sK21,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_5964,c_6924]) ).
tcf(c_12798,plain,
! [X0: $i] :
( midp(sK22,X0,sK21)
| ~ midp(sK21,X0,sK22)
| ~ coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_12781,c_94]) ).
tcf(c_12799,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK22,X0,X1)
| ~ perp(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_12781,c_58]) ).
tcf(c_12801,plain,
para(sK22,sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_12781,c_53]) ).
tcf(c_13055,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_9495,c_49]) ).
tcf(c_13063,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_4329,c_6925]) ).
tcf(c_13064,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_5965,c_6925]) ).
tcf(c_13065,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_13063,c_113]) ).
tcf(c_13066,plain,
! [X0: $i] :
( midp(sK22,X0,sK22)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_13063,c_94]) ).
tcf(c_13075,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13065,c_13063]) ).
tcf(c_13078,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13075]) ).
tcf(c_13081,plain,
! [X0: $i] :
( midp(sK22,X0,sK20)
| ~ midp(sK20,X0,sK22)
| ~ coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_13064,c_94]) ).
tcf(c_13143,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_4327,c_6926]) ).
tcf(c_13144,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_5966,c_6926]) ).
tcf(c_13164,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_13144,c_53]) ).
tcf(c_13802,plain,
( midp(sK22,sK21,sK22)
| ~ midp(sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7589,c_13066]) ).
tcf(c_13892,plain,
( circle(sK23,sK21,sK22,sK22)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_6622,c_7102]) ).
tcf(c_14751,plain,
( perp(sK21,sK22,sK22,sK22)
| ~ midp(sK20,sK21,sK22)
| ~ coll(sK23,sK21,sK22) ),
inference(superposition,[status(thm)],[c_13892,c_102]) ).
tcf(c_14752,plain,
( perp(sK21,sK22,sK22,sK22)
| ~ midp(sK20,sK21,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14751,c_4330]) ).
tcf(c_14768,plain,
( para(sK26,sK25,sK22,sK22)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_14752,c_6913]) ).
tcf(c_14838,plain,
( para(sK22,sK22,sK26,sK25)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_14768,c_53]) ).
tcf(c_15959,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_15971,plain,
( eqangle(sK20,sK22,sK20,sK20,sK20,sK22,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_15959]) ).
tcf(c_16109,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_16121,plain,
( eqangle(sK20,sK21,sK20,sK20,sK20,sK21,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_16109]) ).
tcf(c_16166,plain,
( circle(sK25,sK20,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6624,c_7104]) ).
tcf(c_16284,plain,
coll(sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_9954,c_50]) ).
tcf(c_16286,plain,
coll(sK21,sK20,sK23),
inference(superposition,[status(thm)],[c_9954,c_6077]) ).
tcf(c_16364,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_16166,c_102]) ).
tcf(c_16365,plain,
( perp(sK20,sK21,sK21,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16364,c_4326]) ).
tcf(c_16380,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(sK22,sK20,sK21)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_16365,c_101]) ).
tcf(c_16709,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_16380,c_71]) ).
tcf(c_16725,plain,
( cong(sK20,sK20,sK20,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_16709]) ).
tcf(c_17644,plain,
coll(sK22,sK24,sK21),
inference(superposition,[status(thm)],[c_11428,c_50]) ).
tcf(c_18216,plain,
! [X0: $i] :
( circle(sK29,sK20,X0,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK29,sK20,X0) ),
inference(superposition,[status(thm)],[c_117,c_7213]) ).
tcf(c_18533,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK22,X0,X1,sK22,sK20,X0,X1)
| ~ para(sK20,sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_18545,plain,
( eqangle(sK20,sK22,sK20,sK20,sK22,sK20,sK20,sK20)
| ~ para(sK20,sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_18533]) ).
tcf(c_18678,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,X0,X1,sK21,sK20,X0,X1)
| ~ para(sK20,sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_18690,plain,
( eqangle(sK20,sK21,sK20,sK20,sK21,sK20,sK20,sK20)
| ~ para(sK20,sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_18678]) ).
tcf(c_18702,plain,
( cong(sK23,sK21,sK23,sK21)
| ~ midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_6810,c_7281]) ).
tcf(c_18726,plain,
( cong(sK24,sK20,sK24,sK20)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6835,c_7282]) ).
tcf(c_18757,plain,
( cong(sK25,sK20,sK25,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6853,c_7283]) ).
tcf(c_18947,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_12741,c_51]) ).
tcf(c_18953,plain,
( coll(sK22,sK20,sK25)
| ~ coll(sK25,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_18947]) ).
tcf(c_19207,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_13055,c_51]) ).
tcf(c_19213,plain,
( coll(sK20,sK20,sK26)
| ~ coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_19207]) ).
tcf(c_19834,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK22,X1,X0)
| ~ perp(sK21,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_21737,plain,
coll(sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_16284,c_6091]) ).
tcf(c_21769,plain,
coll(sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_16286,c_49]) ).
tcf(c_25334,plain,
coll(sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_17644,c_6092]) ).
tcf(c_31243,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK23,X0,X1)
| ~ perp(sK20,sK23,sK21,sK22)
| ~ perp(sK21,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_31244,plain,
( para(sK20,sK23,sK20,sK20)
| ~ perp(sK21,sK22,sK20,sK20)
| ~ perp(sK20,sK23,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_31243]) ).
tcf(c_31920,plain,
coll(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_21769,c_6084]) ).
tcf(c_32926,plain,
! [X0: $i] :
( cyclic(sK22,X0,sK20,sK20)
| ~ coll(sK20,sK20,X0)
| ~ eqangle(sK20,sK22,sK20,X0,sK20,sK22,sK20,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_32928,plain,
( cyclic(sK22,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ eqangle(sK20,sK22,sK20,sK20,sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32926]) ).
tcf(c_32929,plain,
! [X0: $i] :
( cyclic(sK21,X0,sK20,sK20)
| ~ coll(sK20,sK20,X0)
| ~ eqangle(sK20,sK21,sK20,X0,sK20,sK21,sK20,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_32931,plain,
( cyclic(sK21,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ eqangle(sK20,sK21,sK20,sK20,sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32929]) ).
tcf(c_34143,plain,
( cong(sK20,sK21,sK20,sK22)
| ~ midp(sK23,sK21,sK22) ),
inference(superposition,[status(thm)],[c_6468,c_104]) ).
tcf(c_35183,plain,
! [X0: $i] :
( midp(sK21,X0,sK22)
| ~ midp(sK22,X0,sK21)
| ~ coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_12801,c_94]) ).
tcf(c_35200,plain,
( midp(sK21,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_35183]) ).
tcf(c_35245,plain,
! [X0: $i] :
( midp(sK20,X0,sK21)
| ~ midp(sK21,X0,sK20)
| ~ coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_13164,c_94]) ).
tcf(c_35249,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_13164,c_52]) ).
tcf(c_35262,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK20)
| ~ coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_35245]) ).
tcf(c_38797,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK22)
| ~ perp(sK20,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_38798,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ perp(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_38797]) ).
tcf(c_38799,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ perp(sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_38800,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ perp(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_38799]) ).
tcf(c_39178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,sK21,X2,X3)
| ~ perp(sK20,sK21,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_39179,plain,
( para(sK20,sK21,sK20,sK20)
| ~ perp(sK20,sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39178]) ).
tcf(c_39180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,sK22,X2,X3)
| ~ perp(sK20,sK22,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_39181,plain,
( para(sK20,sK22,sK20,sK20)
| ~ perp(sK20,sK22,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39180]) ).
tcf(c_43933,plain,
! [X0: $i] :
( midp(sK22,X0,sK25)
| ~ midp(sK20,sK21,sK22)
| ~ midp(sK22,X0,sK26)
| ~ coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_14838,c_94]) ).
tcf(c_43956,plain,
( midp(sK22,sK20,sK25)
| ~ midp(sK22,sK20,sK26)
| ~ midp(sK20,sK21,sK22)
| ~ coll(sK22,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_43933]) ).
tcf(c_45617,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK22,sK22,sK20,X0,X1,X0,X1)
| ~ eqangle(sK20,sK22,X0,X1,sK22,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_45618,plain,
( eqangle(sK20,sK22,sK22,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK22,sK20,sK20,sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_45617]) ).
tcf(c_45619,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,sK21,sK20,X0,X1,X0,X1)
| ~ eqangle(sK20,sK21,X0,X1,sK21,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_45620,plain,
( eqangle(sK20,sK21,sK21,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK21,sK20,sK20,sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_45619]) ).
tcf(c_45762,plain,
( midp(sK23,sK21,sK21)
| ~ midp(sK20,sK21,sK22)
| ~ coll(sK23,sK21,sK21) ),
inference(superposition,[status(thm)],[c_18702,c_116]) ).
tcf(c_45785,plain,
( midp(sK23,sK21,sK21)
| ~ midp(sK20,sK21,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45762,c_6530]) ).
tcf(c_45950,plain,
( midp(sK24,sK20,sK20)
| ~ midp(sK21,sK20,sK22)
| ~ coll(sK24,sK20,sK20) ),
inference(superposition,[status(thm)],[c_18726,c_116]) ).
tcf(c_45964,plain,
( circle(sK24,sK20,sK20,sK22)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_18726,c_7103]) ).
tcf(c_45979,plain,
( midp(sK24,sK20,sK20)
| ~ midp(sK21,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45950,c_6788]) ).
tcf(c_46340,plain,
( circle(sK25,sK20,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_18757,c_7104]) ).
tcf(c_48416,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_35249,c_113]) ).
tcf(c_48426,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48416,c_35249]) ).
tcf(c_50401,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ midp(sK21,sK20,sK22)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_45964,c_102]) ).
tcf(c_50402,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ midp(sK21,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50401,c_4328]) ).
tcf(c_50640,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK20,X0,X1)
| ~ midp(sK21,sK20,sK22)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_50402,c_57]) ).
tcf(c_50642,plain,
( perp(sK20,sK22,sK20,sK20)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_50402,c_56]) ).
tcf(c_50689,plain,
( para(sK24,sK21,sK20,sK20)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_50642,c_6911]) ).
tcf(c_50752,plain,
! [X0: $i] :
( midp(sK21,X0,sK20)
| ~ midp(sK21,sK20,sK22)
| ~ midp(sK24,X0,sK20)
| ~ coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_50689,c_94]) ).
tcf(c_50774,plain,
( midp(sK21,sK20,sK20)
| ~ midp(sK24,sK20,sK20)
| ~ midp(sK21,sK20,sK22)
| ~ coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_50752]) ).
tcf(c_50970,plain,
( para(sK20,sK20,sK21,sK24)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6036,c_50640]) ).
tcf(c_50971,plain,
( para(sK20,sK20,sK25,sK27)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6042,c_50640]) ).
tcf(c_51662,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_46340,c_102]) ).
tcf(c_51663,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51662,c_4326]) ).
tcf(c_51902,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK20,X0,X1)
| ~ midp(sK22,sK20,sK21)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_51663,c_57]) ).
tcf(c_51903,plain,
( cong(sK20,sK20,sK20,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_51663,c_104]) ).
tcf(c_52160,plain,
( cong(sK20,sK20,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_51903,c_5905,c_6196,c_6207,c_6571,c_7592,c_7681,c_16725,c_35200,c_35262,c_45979,c_50774]) ).
tcf(c_52174,plain,
( cong(sK20,sK21,sK20,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_52160,c_72]) ).
tcf(c_52814,plain,
( para(sK20,sK20,sK22,sK25)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6038,c_51902]) ).
tcf(c_52815,plain,
( para(sK20,sK20,sK24,sK28)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6044,c_51902]) ).
tcf(c_52816,plain,
( para(sK20,sK20,sK23,sK29)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6046,c_51902]) ).
tcf(c_54214,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK20,sK20,X1)
| ~ cyclic(sK22,X0,sK20,sK20)
| ~ cyclic(sK22,X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_54219,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ cyclic(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_54214]) ).
tcf(c_54261,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK21,X0,X1,X2)
| ~ cyclic(sK21,X0,sK20,sK20)
| ~ cyclic(sK21,X0,sK20,X2)
| ~ cyclic(sK21,X0,sK20,X1)
| ~ eqangle(sK20,sK21,sK20,X0,sK20,X1,sK20,X2) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_54262,plain,
( cong(sK21,sK20,sK20,sK20)
| ~ cyclic(sK21,sK20,sK20,sK20)
| ~ eqangle(sK20,sK21,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_54261]) ).
tcf(c_66352,plain,
! [X0: $i] :
( midp(sK20,X0,sK24)
| ~ midp(sK21,sK20,sK22)
| ~ midp(sK20,X0,sK21)
| ~ coll(sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_50970,c_94]) ).
tcf(c_66374,plain,
( midp(sK20,sK20,sK24)
| ~ midp(sK21,sK20,sK22)
| ~ midp(sK20,sK20,sK21)
| ~ coll(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_66352]) ).
tcf(c_66381,plain,
! [X0: $i] :
( midp(sK20,X0,sK27)
| ~ midp(sK21,sK20,sK22)
| ~ midp(sK20,X0,sK25)
| ~ coll(sK20,X0,sK27) ),
inference(superposition,[status(thm)],[c_50971,c_94]) ).
tcf(c_66403,plain,
( midp(sK20,sK20,sK27)
| ~ midp(sK21,sK20,sK22)
| ~ midp(sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_66381]) ).
tcf(c_66767,plain,
( midp(sK20,sK21,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_52174,c_116]) ).
tcf(c_66782,plain,
( midp(sK20,sK21,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_66767,c_8788]) ).
tcf(c_66899,plain,
! [X0: $i] :
( midp(sK20,X0,sK25)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK20,X0,sK22)
| ~ coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_52814,c_94]) ).
tcf(c_66921,plain,
( midp(sK20,sK20,sK25)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_66899]) ).
tcf(c_66934,plain,
! [X0: $i] :
( midp(sK20,X0,sK28)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK20,X0,sK24)
| ~ coll(sK20,X0,sK28) ),
inference(superposition,[status(thm)],[c_52815,c_94]) ).
tcf(c_66956,plain,
( midp(sK20,sK20,sK28)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK20,sK20,sK24)
| ~ coll(sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_66934]) ).
tcf(c_67119,plain,
! [X0: $i] :
( midp(sK20,X0,sK29)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK20,X0,sK23)
| ~ coll(sK20,X0,sK29) ),
inference(superposition,[status(thm)],[c_52816,c_94]) ).
tcf(c_67141,plain,
( midp(sK20,sK20,sK29)
| ~ midp(sK22,sK20,sK21)
| ~ midp(sK20,sK20,sK23)
| ~ coll(sK20,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_67119]) ).
tcf(c_71898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK20,sK22)
| ~ perp(X2,X3,sK20,sK22)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_71899,plain,
( para(sK20,sK20,sK20,sK22)
| ~ perp(sK20,sK20,sK20,sK22)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_71898]) ).
tcf(c_71900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK20,sK21)
| ~ perp(X2,X3,sK20,sK21)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_71901,plain,
( para(sK20,sK20,sK20,sK21)
| ~ perp(sK20,sK20,sK20,sK21)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_71900]) ).
tcf(c_75606,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_31920,c_12798]) ).
tcf(c_75740,plain,
( midp(sK22,sK22,sK20)
| ~ midp(sK20,sK22,sK22) ),
inference(superposition,[status(thm)],[c_7681,c_13081]) ).
tcf(c_76305,plain,
midp(sK22,sK22,sK20),
inference(global_subsumption_just,[status(thm)],[c_75740,c_182,c_185,c_240,c_6537,c_6792,c_13063,c_13078,c_15971,c_32928,c_54219,c_75740]) ).
tcf(c_76310,plain,
midp(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_76305,c_59]) ).
tcf(c_86998,plain,
! [X0: $i] :
( cyclic(sK27,sK28,sK29,sK26)
| ~ cyclic(X0,sK27,sK28,sK26)
| ~ cyclic(X0,sK27,sK28,sK29) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_86999,plain,
( cyclic(sK27,sK28,sK29,sK26)
| ~ cyclic(sK20,sK27,sK28,sK26)
| ~ cyclic(sK20,sK27,sK28,sK29) ),
inference(instantiation,[status(thm)],[c_86998]) ).
tcf(c_104914,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ coll(sK29,sK20,sK21)
| ~ midp(sK29,sK20,X0) ),
inference(superposition,[status(thm)],[c_18216,c_102]) ).
tcf(c_104915,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK29,sK20,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104914,c_4318]) ).
tcf(c_104927,plain,
! [X0: $i] :
( perp(X0,sK21,sK20,X0)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK29,sK20,X0) ),
inference(superposition,[status(thm)],[c_104915,c_56]) ).
tcf(c_105442,plain,
( perp(sK21,sK22,sK20,sK22)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK29,sK20,sK22) ),
inference(superposition,[status(thm)],[c_104927,c_12799]) ).
tcf(c_106382,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK20,sK21,sK20,X1,X2,sK20,X2,X1)
| ~ perp(X0,sK20,sK20,sK21)
| ~ circle(X0,sK20,X1,X2) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_106383,plain,
( eqangle(sK20,sK21,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ circle(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_106382]) ).
tcf(c_118422,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK22,sK22,X1)
| ~ coll(X0,sK21,X1)
| ~ circle(X0,sK21,sK22,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_118424,plain,
! [X0: $i] :
( perp(sK21,sK22,X0,sK22)
| ~ perp(sK21,sK22,sK22,X0) ),
inference(instantiation,[status(thm)],[c_19834]) ).
tcf(c_118427,plain,
( perp(sK21,sK22,sK22,sK20)
| ~ coll(sK20,sK21,sK20)
| ~ circle(sK20,sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_118422]) ).
tcf(c_118430,plain,
( perp(sK21,sK22,sK20,sK22)
| ~ perp(sK21,sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_118424]) ).
tcf(c_126416,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK22,X0,X1)
| ~ cong(sK21,X1,sK22,X1)
| ~ cong(sK21,X0,sK22,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_126417,plain,
( perp(sK21,sK22,sK20,sK20)
| ~ cong(sK21,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_126416]) ).
tcf(c_126418,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,X0,X1)
| ~ cong(sK20,X1,sK22,X1)
| ~ cong(sK20,X0,sK22,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_126419,plain,
( perp(sK20,sK22,sK20,sK20)
| ~ cong(sK20,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_126418]) ).
tcf(c_126420,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X0,X1)
| ~ cong(sK20,X1,sK21,X1)
| ~ cong(sK20,X0,sK21,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_126421,plain,
( perp(sK20,sK21,sK20,sK20)
| ~ cong(sK20,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_126420]) ).
tcf(c_129027,plain,
! [X0: $i,X1: $i] :
( circle(X0,sK21,sK22,X1)
| ~ cong(X0,sK21,X0,sK22)
| ~ cong(X0,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_129028,plain,
( circle(sK20,sK21,sK22,sK20)
| ~ cong(sK20,sK21,sK20,sK22)
| ~ cong(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_129027]) ).
tcf(c_130160,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK21,X0,X1)
| ~ midp(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_130161,plain,
( cong(sK20,sK21,sK20,sK20)
| ~ midp(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_130160]) ).
tcf(c_133301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK21,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK21,X2,X1)
| ~ para(X0,X1,X2,sK21) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_133302,plain,
( midp(sK20,sK21,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_133301]) ).
tcf(c_133312,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK20,sK22)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK22,X1,sK20)
| ~ para(X0,sK20,X1,sK22) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_133313,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_133312]) ).
tcf(c_133314,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK20,sK21)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK21,X1,sK20)
| ~ para(X0,sK20,X1,sK21) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_133315,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_133314]) ).
tcf(c_141514,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK21,X2,sK22,X2)
| ~ cong(sK21,X2,X0,X1)
| ~ cong(X0,X1,sK22,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_141515,plain,
( cong(sK21,sK20,sK22,sK20)
| ~ cong(sK21,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_141514]) ).
tcf(c_141599,plain,
! [X0: $i,X1: $i] :
( cong(sK20,X1,sK22,X1)
| ~ midp(X1,sK20,X0)
| ~ perp(sK20,sK22,sK22,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_141600,plain,
( cong(sK20,sK20,sK22,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK20,sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_141599]) ).
tcf(c_141660,plain,
! [X0: $i,X1: $i] :
( cong(sK20,X1,sK21,X1)
| ~ midp(X1,sK20,X0)
| ~ perp(sK20,sK21,sK21,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_141661,plain,
( cong(sK20,sK20,sK21,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK20,sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_141660]) ).
tcf(c_141830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,sK22,sK22,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,sK22,sK22,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_141831,plain,
( perp(sK20,sK22,sK22,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK22,sK22,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_141830]) ).
tcf(c_141998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,sK21,sK21,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,sK21,sK21,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_141999,plain,
( perp(sK20,sK21,sK21,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK21,sK21,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_141998]) ).
tcf(c_144179,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK27,sK28,sK29)
| ~ cong(X0,X1,X0,sK29)
| ~ cong(X0,X1,X0,sK28)
| ~ cong(X0,X1,X0,sK27) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_144180,plain,
( cyclic(sK20,sK27,sK28,sK29)
| ~ cong(sK20,sK20,sK20,sK29)
| ~ cong(sK20,sK20,sK20,sK28)
| ~ cong(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_144179]) ).
tcf(c_146132,plain,
midp(sK20,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_66782,c_182,c_185,c_191,c_240,c_6537,c_6792,c_13063,c_13144,c_15971,c_18690,c_32928,c_38800,c_39179,c_45620,c_54219,c_71901,c_126421,c_133302,c_141661,c_141999]) ).
tcf(c_146135,plain,
midp(sK22,sK21,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_13802,c_146132]) ).
tcf(c_152406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK23,X3,sK22)
| ~ para(X1,X2,X3,sK22)
| ~ para(X0,sK23,X1,X2) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_152409,plain,
( para(sK20,sK23,sK20,sK22)
| ~ para(sK20,sK20,sK20,sK22)
| ~ para(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_152406]) ).
tcf(c_152436,plain,
perp(sK21,sK22,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_105442,c_164,c_182,c_185,c_191,c_192,c_240,c_6468,c_6537,c_6760,c_6792,c_8788,c_13064,c_13063,c_13144,c_13143,c_15971,c_16121,c_18545,c_18690,c_31244,c_32928,c_32931,c_34143,c_38798,c_38800,c_39179,c_45618,c_45620,c_54219,c_54262,c_71899,c_71901,c_106383,c_118427,c_118430,c_126417,c_126419,c_126421,c_129028,c_130161,c_133302,c_141515,c_141600,c_141661,c_141831,c_141999,c_152409]) ).
tcf(c_152439,plain,
( cong(sK21,sK20,sK21,sK22)
| ~ midp(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_152436,c_104]) ).
tcf(c_152440,plain,
perp(sK20,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_152436,c_56]) ).
tcf(c_152444,plain,
para(sK26,sK25,sK20,sK22),
inference(superposition,[status(thm)],[c_152436,c_6913]) ).
tcf(c_152454,plain,
cong(sK21,sK20,sK21,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_152439,c_76310]) ).
tcf(c_152464,plain,
para(sK20,sK22,sK26,sK25),
inference(superposition,[status(thm)],[c_152444,c_53]) ).
tcf(c_152465,plain,
para(sK26,sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_152444,c_52]) ).
tcf(c_152507,plain,
para(sK20,sK22,sK25,sK26),
inference(superposition,[status(thm)],[c_152464,c_52]) ).
tcf(c_152538,plain,
para(sK22,sK20,sK26,sK25),
inference(superposition,[status(thm)],[c_152465,c_53]) ).
tcf(c_152650,plain,
( cong(sK20,sK21,sK20,sK22)
| ~ midp(sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_152440,c_104]) ).
tcf(c_152664,plain,
cong(sK20,sK21,sK20,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_152650,c_146135]) ).
tcf(c_152730,plain,
( midp(sK21,sK20,sK22)
| ~ coll(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_152454,c_116]) ).
tcf(c_152751,plain,
midp(sK21,sK20,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_152730,c_21737]) ).
tcf(c_153613,plain,
! [X0: $i] :
( midp(sK22,X0,sK26)
| ~ midp(sK20,X0,sK25)
| ~ coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_152507,c_94]) ).
tcf(c_153641,plain,
( midp(sK22,sK20,sK26)
| ~ midp(sK20,sK20,sK25)
| ~ coll(sK22,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_153613]) ).
tcf(c_153733,plain,
para(sK22,sK20,sK25,sK26),
inference(superposition,[status(thm)],[c_152538,c_52]) ).
tcf(c_155416,plain,
( midp(sK20,sK21,sK22)
| ~ coll(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_152664,c_116]) ).
tcf(c_155431,plain,
midp(sK20,sK21,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_155416,c_25334]) ).
tcf(c_155579,plain,
midp(sK23,sK21,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_45785,c_155431]) ).
tcf(c_155976,plain,
midp(sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_155579,c_48426]) ).
tcf(c_156141,plain,
! [X0: $i] :
( midp(sK20,X0,sK26)
| ~ midp(sK22,X0,sK25)
| ~ coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_153733,c_94]) ).
tcf(c_156158,plain,
( midp(sK20,sK20,sK26)
| ~ midp(sK22,sK20,sK25)
| ~ coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_156141]) ).
tcf(c_165088,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK27)
| ~ midp(X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_165089,plain,
( cong(sK20,sK20,sK20,sK27)
| ~ midp(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_165088]) ).
tcf(c_165753,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK28)
| ~ midp(X0,X1,sK28) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_165754,plain,
( cong(sK20,sK20,sK20,sK28)
| ~ midp(sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_165753]) ).
tcf(c_168456,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK27,sK28,sK26)
| ~ cong(X0,X1,X0,sK26)
| ~ cong(X0,X1,X0,sK28)
| ~ cong(X0,X1,X0,sK27) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_168457,plain,
( cyclic(sK20,sK27,sK28,sK26)
| ~ cong(sK20,sK20,sK20,sK26)
| ~ cong(sK20,sK20,sK20,sK28)
| ~ cong(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_168456]) ).
tcf(c_169785,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK26)
| ~ midp(X0,X1,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_169786,plain,
( cong(sK20,sK20,sK20,sK26)
| ~ midp(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_169785]) ).
tcf(c_175126,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK29)
| ~ midp(X0,X1,sK29) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_175127,plain,
( cong(sK20,sK20,sK20,sK29)
| ~ midp(sK20,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_175126]) ).
tcf(c_175128,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_175127,c_169786,c_168457,c_165754,c_165089,c_156158,c_155976,c_155431,c_153641,c_152751,c_144180,c_141999,c_141831,c_141661,c_141600,c_133315,c_133313,c_126421,c_126419,c_86999,c_75606,c_71901,c_71899,c_67141,c_66956,c_66921,c_66403,c_66374,c_54219,c_45620,c_45618,c_43956,c_39181,c_39179,c_38800,c_38798,c_32928,c_19213,c_18953,c_18690,c_18545,c_15971,c_13144,c_13063,c_13064,c_13055,c_9154,c_8368,c_7857,c_7586,c_7450,c_6804,c_6792,c_6537,c_6217,c_6215,c_6214,c_6212,c_6211,c_6210,c_5875,c_5876,c_5878,c_5879,c_5880,c_240,c_191,c_185,c_182,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO555+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 12:25:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 79.71/11.90 % SZS status Started for theBenchmark.p
% 79.71/11.90 % SZS status Theorem for theBenchmark.p
% 79.71/11.90
% 79.71/11.90 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 79.71/11.90
% 79.71/11.90 % ------ iProver source info
% 79.71/11.90
% 79.71/11.90 % git: date: 2026-07-19 20:42:38 +0200
% 79.71/11.90 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 79.71/11.90 % git: non_committed_changes: false
% 79.71/11.90
% 79.71/11.90 % ------ Parsing...
% 79.71/11.90 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 79.71/11.90
% 79.71/11.90 % ------ 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 %
% 79.71/11.90
% 79.71/11.90 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 79.71/11.90
% 79.71/11.90 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 79.71/11.90 % ------ Proving...
% 79.71/11.90 % ------ Problem Properties
% 79.71/11.90
% 79.71/11.90 %
% 79.71/11.90 % clauses 127
% 79.71/11.90 % conjectures 15
% 79.71/11.90 % EPR 90
% 79.71/11.90 % Horn 117
% 79.71/11.90 % unary 15
% 79.71/11.90 % binary 37
% 79.71/11.90 % lits 343
% 79.71/11.90 % lits eq 4
% 79.71/11.90 % fd_pure 0
% 79.71/11.90 % fd_pseudo 0
% 79.71/11.90 % fd_cond 0
% 79.71/11.90 % fd_pseudo_cond 4
% 79.71/11.90 % AC symbols 0
% 79.71/11.90
% 79.71/11.90 % ------ Schedule dynamic 5 is on
% 79.71/11.90
% 79.71/11.90 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 79.71/11.90
% 79.71/11.90
% 79.71/11.90 % ------
% 79.71/11.90 % Current options:
% 79.71/11.90 % ------
% 79.71/11.90
% 79.71/11.90
% 79.71/11.90 %
% 79.71/11.90
% 79.71/11.90 % ------ Proving...
% 79.71/11.90 % Proof_search_loop: time out after: 8007 full_loop iterations
% 79.71/11.90
% 79.71/11.90 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 79.71/11.90
% 79.71/11.90
% 79.71/11.90 % ------
% 79.71/11.90 % Current options:
% 79.71/11.90 % ------
% 79.71/11.90
% 79.71/11.90
% 79.71/11.90 %
% 79.71/11.90
% 79.71/11.90 % ------ Proving...
% 79.71/11.90 %
% 79.71/11.90
% 79.71/11.90 % SZS status Theorem for theBenchmark.p
% 79.71/11.90
% 79.71/11.90 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 79.71/11.91
% 79.71/11.91
%------------------------------------------------------------------------------