%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO586+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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:33 PM UTC 2026
% Result : Theorem 81.21s 11.81s
% Output : CNFRefutation 81.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 36
% Syntax : Number of formulae : 421 ( 59 unt; 0 def)
% Number of atoms : 1056 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1188 ( 553 ~; 547 |; 51 &)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 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 : 10 ( 10 usr; 8 con; 0-5 aty)
% Number of variables : 1001 ( 0 sgn 980 !; 21 ?; 347 :)
% 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(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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/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(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/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(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/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/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(f50,axiom,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD49) ).
fof(f51,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
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(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> perp(X6,X5,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416048) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> perp(X6,X5,X2,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(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(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
fof(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(f166,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(ennf_transformation,[],[f50]) ).
fof(f167,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(ennf_transformation,[],[f51]) ).
fof(f169,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(flattening,[],[f168]) ).
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(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] :
( circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2)
& ~ perp(X6,X5,X2,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2)
& ~ perp(X6,X5,X2,X4) ),
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,
( circle(sK26,sK20,sK21,sK25)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK22)
& circle(sK23,sK20,sK24,sK27)
& circle(sK23,sK20,sK21,sK22)
& ~ perp(sK26,sK25,sK22,sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(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(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(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(f320,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(cnf_transformation,[],[f167]) ).
fof(f321,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(cnf_transformation,[],[f169]) ).
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(f370,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f262]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f266]) ).
fof(f384,plain,
circle(sK26,sK20,sK21,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
coll(sK25,sK21,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ perp(sK26,sK25,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_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_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_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_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X4,X0,X0,X1)
| ~ circle(X4,X0,X2,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X0,X2,X0,X4)
| ~ midp(X4,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f321]) ).
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_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,
~ perp(sK26,sK25,sK22,sK24),
inference(cnf_transformation,[],[f389]) ).
tcf(c_163,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_165,negated_conjecture,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f386]) ).
tcf(c_166,negated_conjecture,
coll(sK25,sK21,sK24),
inference(cnf_transformation,[],[f385]) ).
tcf(c_167,negated_conjecture,
circle(sK26,sK20,sK21,sK25),
inference(cnf_transformation,[],[f384]) ).
tcf(c_173,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_177,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_182,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_231,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_1827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ( X3 != sK23 )
| ( X2 != sK22 )
| ( X1 != sK21 )
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_163]) ).
tcf(c_1828,plain,
! [X0: $i] :
( perp(sK23,sK20,sK20,X0)
| ~ eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21) ),
inference(unflattening,[status(thm)],[c_1827]) ).
tcf(c_1829,plain,
( perp(sK23,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_1828]) ).
tcf(c_1845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ( X3 != sK26 )
| ( X2 != sK25 )
| ( X1 != sK21 )
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_167]) ).
tcf(c_1846,plain,
! [X0: $i] :
( perp(sK26,sK20,sK20,X0)
| ~ eqangle(sK20,X0,sK20,sK21,sK25,sK20,sK25,sK21) ),
inference(unflattening,[status(thm)],[c_1845]) ).
tcf(c_1847,plain,
( perp(sK26,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK21,sK25,sK20,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_1846]) ).
tcf(c_2186,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_2187,plain,
perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23),
inference(unflattening,[status(thm)],[c_2186]) ).
tcf(c_2191,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_2192,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(unflattening,[status(thm)],[c_2191]) ).
tcf(c_2350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK11(X1,X2,X3,X0),X1,X1,X0)
| ( X3 != sK25 )
| ( X2 != sK21 )
| ( X1 != sK20 )
| ( X0 != sK26 ) ),
inference(resolution_lifted,[status(thm)],[c_148,c_167]) ).
tcf(c_2351,plain,
perp(sK11(sK20,sK21,sK25,sK26),sK20,sK20,sK26),
inference(unflattening,[status(thm)],[c_2350]) ).
tcf(c_6592,plain,
( coll(sK25,sK22,sK20)
| ~ coll(sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_6594,plain,
( coll(sK20,sK25,sK22)
| ~ coll(sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6617,plain,
( coll(sK22,sK25,sK20)
| ~ coll(sK25,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_6620,plain,
! [X0: $i] :
( coll(X0,sK20,sK25)
| ~ coll(sK25,sK22,sK20)
| ~ coll(sK25,sK22,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6621,plain,
( coll(sK20,sK20,sK25)
| ~ coll(sK25,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6620]) ).
tcf(c_6636,plain,
! [X0: $i] :
( coll(X0,sK22,sK20)
| ~ coll(sK20,sK25,sK22)
| ~ coll(sK20,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6637,plain,
( coll(sK20,sK22,sK20)
| ~ coll(sK20,sK25,sK20)
| ~ coll(sK20,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_6636]) ).
tcf(c_6650,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_6656,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_6659,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_6656]) ).
tcf(c_6721,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
tcf(c_6722,plain,
coll(sK25,sK24,sK21),
inference(superposition,[status(thm)],[c_166,c_49]) ).
tcf(c_6726,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_165,c_50]) ).
tcf(c_6727,plain,
coll(sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_166,c_50]) ).
tcf(c_6728,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_6721,c_50]) ).
tcf(c_6738,plain,
coll(sK20,sK22,sK25),
inference(superposition,[status(thm)],[c_6726,c_49]) ).
tcf(c_6740,plain,
coll(sK21,sK24,sK25),
inference(superposition,[status(thm)],[c_6727,c_49]) ).
tcf(c_6746,plain,
( perp(sK11(sK20,sK21,sK25,sK26),sK20,sK26,sK20)
| ~ perp(sK11(sK20,sK21,sK25,sK26),sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_6797,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_6804,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6797,c_72]) ).
tcf(c_6812,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6804,c_71]) ).
tcf(c_6819,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X1,X0,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6812,c_72]) ).
tcf(c_6834,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
tcf(c_6836,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_6721,c_51]) ).
tcf(c_6837,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK24,X0) ),
inference(superposition,[status(thm)],[c_6722,c_51]) ).
tcf(c_6840,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_6738,c_51]) ).
tcf(c_6841,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_6728,c_51]) ).
tcf(c_6843,plain,
! [X0: $i] :
( coll(sK25,X0,sK21)
| ~ coll(sK21,sK24,X0) ),
inference(superposition,[status(thm)],[c_6740,c_51]) ).
tcf(c_6849,plain,
( coll(sK20,sK20,sK22)
| ~ coll(sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6841]) ).
tcf(c_6850,plain,
( coll(sK25,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6840]) ).
tcf(c_6898,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_165,c_6834]) ).
tcf(c_6899,plain,
! [X0: $i] :
( coll(sK25,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6898,c_51]) ).
tcf(c_6901,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_6898,c_49]) ).
tcf(c_6902,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_6901,c_51]) ).
tcf(c_6905,plain,
( coll(sK22,sK20,sK22)
| ~ coll(sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6902]) ).
tcf(c_6956,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_6721,c_6836]) ).
tcf(c_6960,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_6956,c_49]) ).
tcf(c_6964,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_6722,c_6837]) ).
tcf(c_6967,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_6964,c_49]) ).
tcf(c_6999,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_6960,c_51]) ).
tcf(c_7003,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6999]) ).
tcf(c_7004,plain,
! [X0: $i] :
( coll(sK21,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_6967,c_51]) ).
tcf(c_7007,plain,
( coll(sK21,sK20,sK21)
| ~ coll(sK21,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_7004]) ).
tcf(c_7055,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_6898,c_6899]) ).
tcf(c_7059,plain,
coll(sK25,sK22,sK25),
inference(superposition,[status(thm)],[c_7055,c_49]) ).
tcf(c_7072,plain,
( coll(sK23,sK20,sK22)
| ~ coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7100,plain,
( coll(sK26,sK20,sK25)
| ~ coll(sK26,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7146,plain,
! [X0: $i] :
( coll(sK25,X0,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_7059,c_51]) ).
tcf(c_7150,plain,
( coll(sK25,sK20,sK25)
| ~ coll(sK25,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_7146]) ).
tcf(c_7156,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_7159,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_7183,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_6738,c_6840]) ).
tcf(c_7204,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,X1)
| ~ midp(X1,X0,X0)
| ~ coll(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_6819,c_116]) ).
tcf(c_7238,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_7240,plain,
( perp(sK20,sK21,sK21,sK25)
| ~ coll(sK26,sK20,sK25) ),
inference(superposition,[status(thm)],[c_167,c_102]) ).
tcf(c_7276,plain,
( perp(sK21,sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7238,c_56]) ).
tcf(c_7277,plain,
( perp(sK20,sK21,sK22,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7238,c_55]) ).
tcf(c_7278,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7238,c_101]) ).
tcf(c_7304,plain,
( perp(sK21,sK25,sK20,sK21)
| ~ coll(sK26,sK20,sK25) ),
inference(superposition,[status(thm)],[c_7240,c_56]) ).
tcf(c_7305,plain,
( perp(sK20,sK21,sK25,sK21)
| ~ coll(sK26,sK20,sK25) ),
inference(superposition,[status(thm)],[c_7240,c_55]) ).
tcf(c_7306,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ coll(sK26,sK20,sK25)
| ~ midp(X0,sK20,sK25) ),
inference(superposition,[status(thm)],[c_7240,c_101]) ).
tcf(c_7311,plain,
( perp(sK21,sK22,sK21,sK20)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7276,c_55]) ).
tcf(c_7314,plain,
( perp(sK22,sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7277,c_56]) ).
tcf(c_7320,plain,
( perp(sK26,sK20,sK11(sK20,sK21,sK25,sK26),sK20)
| ~ perp(sK11(sK20,sK21,sK25,sK26),sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_7323,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK26,sK20)
| ~ perp(sK11(sK20,sK21,sK25,sK26),sK20,sK26,sK20)
| ~ perp(X0,X1,sK11(sK20,sK21,sK25,sK26),sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_7348,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_165,c_50]) ).
tcf(c_7429,plain,
( perp(sK25,sK21,sK20,sK21)
| ~ coll(sK26,sK20,sK25) ),
inference(superposition,[status(thm)],[c_7305,c_56]) ).
tcf(c_7495,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_7348,c_6999]) ).
tcf(c_7503,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_7495,c_50]) ).
tcf(c_7684,plain,
! [X0: $i] :
( coll(sK21,sK25,X0)
| ~ coll(sK21,X0,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7685,plain,
( coll(sK21,sK25,sK20)
| ~ coll(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_7684]) ).
tcf(c_7908,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_7923,plain,
( cong(sK22,sK20,sK22,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7314,c_104]) ).
tcf(c_7927,plain,
( cong(sK25,sK20,sK25,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK26,sK20,sK25) ),
inference(superposition,[status(thm)],[c_7429,c_104]) ).
tcf(c_8112,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_7908,c_57]) ).
tcf(c_8160,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK23,X2,X0)
| ~ coll(X0,X1,sK23)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_8185,plain,
( para(sK20,sK21,sK21,sK20)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7311,c_8112]) ).
tcf(c_8194,plain,
( para(sK20,sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_8185,c_52]) ).
tcf(c_8334,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK26,X2,X0)
| ~ coll(X0,X1,sK26)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_8431,plain,
( midp(sK22,sK20,sK20)
| ~ midp(sK20,sK22,sK22) ),
inference(superposition,[status(thm)],[c_7503,c_7204]) ).
tcf(c_9848,plain,
coll(sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_166,c_50]) ).
tcf(c_9868,plain,
coll(sK21,sK24,sK25),
inference(superposition,[status(thm)],[c_9848,c_49]) ).
tcf(c_9911,plain,
coll(sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_9868,c_6843]) ).
tcf(c_9917,plain,
( perp(sK20,sK21,sK21,sK25)
| ~ coll(sK26,sK20,sK25) ),
inference(superposition,[status(thm)],[c_7305,c_55]) ).
tcf(c_9921,plain,
( perp(sK25,sK21,sK20,sK21)
| ~ coll(sK26,sK20,sK25) ),
inference(superposition,[status(thm)],[c_7305,c_56]) ).
tcf(c_9978,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_9911,c_51]) ).
tcf(c_9979,plain,
( coll(sK21,sK20,sK25)
| ~ coll(sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_9978]) ).
tcf(c_10087,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_10103,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK25,X0,X1)
| ~ coll(sK26,sK20,sK25)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7304,c_57]) ).
tcf(c_10123,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_10087,c_57]) ).
tcf(c_10125,plain,
( perp(sK21,sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_10087,c_56]) ).
tcf(c_10137,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_10125,c_57]) ).
tcf(c_10239,plain,
( para(sK20,sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_10125,c_10123]) ).
tcf(c_10387,plain,
( cong(sK22,sK20,sK22,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7314,c_104]) ).
tcf(c_10419,plain,
( cong(sK25,sK20,sK25,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK26,sK20,sK25) ),
inference(superposition,[status(thm)],[c_9921,c_104]) ).
tcf(c_10505,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_10509,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10505]) ).
tcf(c_10610,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_10239,c_94]) ).
tcf(c_10613,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_10610]) ).
tcf(c_10879,plain,
( para(sK21,sK25,sK21,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK25) ),
inference(superposition,[status(thm)],[c_10087,c_10103]) ).
tcf(c_10880,plain,
( para(sK21,sK25,sK21,sK25)
| ~ coll(sK26,sK20,sK25) ),
inference(superposition,[status(thm)],[c_9917,c_10103]) ).
tcf(c_10916,plain,
! [X0: $i] :
( midp(sK25,X0,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK25)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_10879,c_94]) ).
tcf(c_11221,plain,
! [X0: $i] :
( midp(sK25,X0,sK25)
| ~ coll(sK26,sK20,sK25)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK25,X0,sK25) ),
inference(superposition,[status(thm)],[c_10880,c_94]) ).
tcf(c_11227,plain,
( midp(sK25,sK20,sK25)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK25,sK20,sK25)
| ~ coll(sK26,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_11221]) ).
tcf(c_11403,plain,
( para(sK21,sK22,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_10087,c_10137]) ).
tcf(c_11415,plain,
! [X0: $i] :
( midp(sK22,X0,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_11403,c_94]) ).
tcf(c_11421,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_11415]) ).
tcf(c_12486,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_10239,c_113]) ).
tcf(c_12494,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_11403,c_113]) ).
tcf(c_12499,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK20,sK21,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ para(sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_12494]) ).
tcf(c_12504,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK23,sK20,sK22)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_12486]) ).
tcf(c_12558,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_7159]) ).
tcf(c_12692,plain,
( para(sK26,sK20,sK26,sK20)
| ~ perp(sK26,sK20,sK11(sK20,sK21,sK25,sK26),sK20)
| ~ perp(sK11(sK20,sK21,sK25,sK26),sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_7323]) ).
tcf(c_13095,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK23)
| ~ coll(sK23,X0,X2)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_13096,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13095]) ).
tcf(c_13132,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK26)
| ~ coll(sK26,X0,X2)
| ~ coll(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_13133,plain,
( coll(sK20,sK20,sK26)
| ~ coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13132]) ).
tcf(c_13399,plain,
! [X0: $i] :
( circle(sK22,sK20,X0,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ cong(sK22,sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_10387,c_60]) ).
tcf(c_13406,plain,
( circle(sK22,sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ cong(sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_13399]) ).
tcf(c_13852,plain,
! [X0: $i] :
( eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21)
| ~ perp(sK23,sK20,sK20,X0) ),
inference(resolution,[status(thm)],[c_97,c_163]) ).
tcf(c_15571,plain,
! [X0: $i] :
( eqangle(sK22,sK20,sK22,sK21,sK20,X0,sK20,sK21)
| ~ perp(sK23,sK20,sK20,X0) ),
inference(resolution,[status(thm)],[c_68,c_13852]) ).
tcf(c_16522,plain,
! [X0: $i] :
( eqangle(sK22,sK20,sK20,X0,sK22,sK21,sK20,sK21)
| ~ perp(sK23,sK20,sK20,X0) ),
inference(resolution,[status(thm)],[c_15571,c_69]) ).
tcf(c_17333,plain,
! [X0: $i] :
( circle(sK25,sK20,X0,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK26,sK20,sK25)
| ~ cong(sK25,sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_10419,c_60]) ).
tcf(c_17342,plain,
( circle(sK25,sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK26,sK20,sK25)
| ~ cong(sK25,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_17333]) ).
tcf(c_17875,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_17891,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK25,X0,X1)
| ~ coll(sK26,sK20,sK25)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7304,c_57]) ).
tcf(c_18453,plain,
( para(sK21,sK25,sK21,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK25) ),
inference(superposition,[status(thm)],[c_17875,c_17891]) ).
tcf(c_18554,plain,
! [X0: $i] :
( midp(sK25,X0,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK25)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_18453,c_94]) ).
tcf(c_19810,plain,
! [X0: $i] :
( perp(sK22,sK20,sK20,X0)
| ~ perp(sK22,sK21,sK20,sK21)
| ~ perp(sK23,sK20,sK20,X0) ),
inference(resolution,[status(thm)],[c_16522,c_123]) ).
tcf(c_19811,plain,
( perp(sK22,sK20,sK20,sK20)
| ~ perp(sK23,sK20,sK20,sK20)
| ~ perp(sK22,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_19810]) ).
tcf(c_20408,plain,
! [X0: $i,X1: $i] :
( coll(sK23,X0,X1)
| ~ para(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_20409,plain,
( coll(sK23,sK20,sK20)
| ~ para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_20408]) ).
tcf(c_20410,plain,
! [X0: $i,X1: $i] :
( coll(sK26,X0,X1)
| ~ para(sK26,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_20411,plain,
( coll(sK26,sK20,sK20)
| ~ para(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_20410]) ).
tcf(c_23228,plain,
! [X0: $i,X1: $i] :
( perp(sK26,sK25,sK22,sK24)
| ~ perp(X0,X1,sK22,sK24)
| ~ para(sK26,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_23229,plain,
( perp(sK26,sK25,sK22,sK24)
| ~ perp(sK20,sK20,sK22,sK24)
| ~ para(sK26,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_23228]) ).
tcf(c_25695,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_25697,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_25695]) ).
tcf(c_25698,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_25699,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_25698]) ).
tcf(c_27345,plain,
! [X0: $i] :
( coll(sK23,sK22,sK20)
| ~ coll(sK20,X0,sK23)
| ~ coll(sK20,X0,sK22) ),
inference(instantiation,[status(thm)],[c_8160]) ).
tcf(c_27346,plain,
( coll(sK23,sK22,sK20)
| ~ coll(sK20,sK20,sK23)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_27345]) ).
tcf(c_27407,plain,
! [X0: $i] :
( midp(sK25,X0,sK22)
| ~ coll(sK25,X0,sK22)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK26,sK20,sK25) ),
inference(global_subsumption_just,[status(thm)],[c_18554,c_165,c_2187,c_6592,c_6617,c_6650,c_6849,c_7072,c_7156,c_10916,c_12558,c_13096,c_20409,c_27346]) ).
tcf(c_27408,plain,
! [X0: $i] :
( midp(sK25,X0,sK22)
| ~ coll(sK26,sK20,sK25)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK25,X0,sK22) ),
inference(renaming,[status(thm)],[c_27407]) ).
tcf(c_27409,plain,
( midp(sK25,sK20,sK22)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK25,sK20,sK22)
| ~ coll(sK26,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_27408]) ).
tcf(c_27453,plain,
! [X0: $i] :
( coll(sK26,sK25,sK20)
| ~ coll(sK20,X0,sK25)
| ~ coll(sK20,X0,sK26) ),
inference(instantiation,[status(thm)],[c_8334]) ).
tcf(c_27454,plain,
( coll(sK26,sK25,sK20)
| ~ coll(sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_27453]) ).
tcf(c_27594,plain,
perp(sK21,sK25,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_7304,c_165,c_2351,c_6592,c_6621,c_6746,c_7100,c_7304,c_7320,c_12692,c_13133,c_20411,c_27454]) ).
tcf(c_27656,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(X0,sK20,sK25) ),
inference(global_subsumption_just,[status(thm)],[c_7306,c_165,c_2351,c_6592,c_6621,c_6746,c_7100,c_7306,c_7320,c_12692,c_13133,c_20411,c_27454]) ).
tcf(c_27910,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_27932,plain,
perp(sK20,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_27910,c_165,c_2187,c_2192,c_6592,c_6617,c_6650,c_6849,c_7072,c_7156,c_12558,c_13096,c_20409,c_27346]) ).
tcf(c_27983,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK25,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_27594,c_57]) ).
tcf(c_28592,plain,
para(sK21,sK25,sK21,sK22),
inference(superposition,[status(thm)],[c_27932,c_27983]) ).
tcf(c_28596,plain,
! [X0: $i] :
( midp(sK25,X0,sK22)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_28592,c_94]) ).
tcf(c_28730,plain,
( midp(sK25,sK20,sK22)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_165,c_28596]) ).
tcf(c_28733,plain,
midp(sK25,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_28730,c_165,c_173,c_177,c_231,c_2187,c_2351,c_6592,c_6617,c_6621,c_6650,c_6659,c_6746,c_6849,c_6960,c_7003,c_7007,c_7072,c_7100,c_7156,c_7183,c_7320,c_7685,c_9979,c_10509,c_10613,c_12558,c_12692,c_13096,c_13133,c_20409,c_20411,c_25697,c_25699,c_27346,c_27409,c_27454]) ).
tcf(c_28736,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK22,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_28733,c_93]) ).
tcf(c_28813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK25,X3,X1,X2)
| ~ midp(X3,sK20,X0)
| ~ perp(sK22,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_28736,c_58]) ).
tcf(c_28820,plain,
( perp(sK25,sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_28813]) ).
tcf(c_41405,plain,
! [X0: $i,X1: $i] :
( cong(sK22,X0,sK22,X1)
| ~ midp(sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_41406,plain,
( cong(sK22,sK20,sK22,sK20)
| ~ midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_41405]) ).
tcf(c_42283,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK26,sK25,X1,X2)
| ~ midp(sK25,X0,X2)
| ~ midp(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_42284,plain,
( para(sK26,sK25,sK20,sK20)
| ~ midp(sK25,sK20,sK20)
| ~ midp(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_42283]) ).
tcf(c_43551,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK26,X1,sK26,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK26,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_43552,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK26,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_43551]) ).
tcf(c_43557,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK25,X1,sK25,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK25,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_43558,plain,
( cong(sK25,sK20,sK25,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK25,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_43557]) ).
tcf(c_45674,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK22,sK24)
| ~ cong(X0,sK24,X1,sK24)
| ~ cong(X0,sK22,X1,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_45675,plain,
( perp(sK20,sK20,sK22,sK24)
| ~ cong(sK20,sK24,sK20,sK24)
| ~ cong(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_45674]) ).
tcf(c_47098,plain,
( eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ circle(sK22,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_47104,plain,
( eqangle(sK20,sK20,sK20,sK21,sK25,sK20,sK25,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ circle(sK25,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_47314,plain,
perp(sK20,sK21,sK25,sK21),
inference(global_subsumption_just,[status(thm)],[c_7305,c_165,c_2351,c_6592,c_6621,c_6746,c_7100,c_7305,c_7320,c_12692,c_13133,c_20411,c_27454]) ).
tcf(c_47316,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
tcf(c_47335,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_47316,c_50]) ).
tcf(c_47367,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(X0,sK20,sK22) ),
inference(global_subsumption_just,[status(thm)],[c_7278,c_165,c_2187,c_6592,c_6617,c_6650,c_6849,c_7072,c_7156,c_7278,c_12558,c_13096,c_20409,c_27346]) ).
tcf(c_47374,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(X0,sK20,sK25) ),
inference(global_subsumption_just,[status(thm)],[c_7306,c_27656]) ).
tcf(c_47397,plain,
perp(sK25,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_47314,c_56]) ).
tcf(c_47421,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_47335,c_6902]) ).
tcf(c_47627,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_47638,plain,
( cong(sK25,sK20,sK25,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_47397,c_104]) ).
tcf(c_47648,plain,
perp(sK20,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_47627,c_165,c_2187,c_2192,c_6592,c_6617,c_6650,c_6849,c_7072,c_7156,c_12558,c_13096,c_20409,c_27346]) ).
tcf(c_47651,plain,
perp(sK21,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_47648,c_56]) ).
tcf(c_47652,plain,
perp(sK20,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_47648,c_55]) ).
tcf(c_47670,plain,
perp(sK22,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_47652,c_56]) ).
tcf(c_47705,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK22,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_47651,c_57]) ).
tcf(c_47731,plain,
cong(sK25,sK20,sK25,sK21),
inference(global_subsumption_just,[status(thm)],[c_47638,c_165,c_173,c_177,c_231,c_2187,c_2351,c_6592,c_6617,c_6621,c_6650,c_6659,c_6746,c_6849,c_6960,c_7003,c_7007,c_7072,c_7100,c_7156,c_7183,c_7320,c_7685,c_7927,c_9979,c_10509,c_10613,c_12558,c_12692,c_13096,c_13133,c_20409,c_20411,c_25697,c_25699,c_27346,c_27454]) ).
tcf(c_47736,plain,
cong(sK25,sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_47731,c_71]) ).
tcf(c_47742,plain,
cong(sK21,sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_47736,c_72]) ).
tcf(c_47780,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK20,X0,X1,X2)
| ~ midp(X0,sK20,sK25)
| ~ cong(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_47374,c_73]) ).
tcf(c_47781,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK20,X0,X1,X2)
| ~ midp(X0,sK20,sK22)
| ~ cong(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_47367,c_73]) ).
tcf(c_47832,plain,
( cong(sK22,sK20,sK22,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_47670,c_104]) ).
tcf(c_47894,plain,
cong(sK22,sK20,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_47832,c_165,c_173,c_177,c_231,c_2187,c_6592,c_6617,c_6650,c_6659,c_6849,c_6960,c_7003,c_7007,c_7072,c_7156,c_7183,c_7685,c_7923,c_9979,c_10509,c_10613,c_12558,c_13096,c_20409,c_25697,c_25699,c_27346]) ).
tcf(c_47900,plain,
cong(sK22,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_47894,c_71]) ).
tcf(c_47957,plain,
cong(sK21,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_47900,c_72]) ).
tcf(c_48230,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_47648,c_47705]) ).
tcf(c_48234,plain,
! [X0: $i] :
( midp(sK22,X0,sK22)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_48230,c_94]) ).
tcf(c_48360,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_47421,c_48234]) ).
tcf(c_48433,plain,
midp(sK22,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_48360,c_165,c_173,c_177,c_231,c_2187,c_6592,c_6617,c_6650,c_6659,c_6849,c_6905,c_6960,c_7003,c_7007,c_7072,c_7156,c_7183,c_7685,c_9979,c_10509,c_10613,c_11421,c_12558,c_13096,c_20409,c_25697,c_25699,c_27346]) ).
tcf(c_52986,plain,
cong(sK21,sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_47742,c_71]) ).
tcf(c_53258,plain,
cong(sK21,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_47957,c_71]) ).
tcf(c_53819,plain,
( cong(sK20,sK25,sK20,sK25)
| ~ midp(sK25,sK20,sK25) ),
inference(superposition,[status(thm)],[c_52986,c_47780]) ).
tcf(c_54408,plain,
( cong(sK20,sK22,sK20,sK22)
| ~ midp(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_53258,c_47781]) ).
tcf(c_54410,plain,
cong(sK20,sK22,sK20,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_54408,c_48433]) ).
tcf(c_57074,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK26,sK25)
| ~ cong(X0,sK25,X1,sK25)
| ~ cong(X0,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_57075,plain,
( perp(sK20,sK20,sK26,sK25)
| ~ cong(sK20,sK25,sK20,sK25)
| ~ cong(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_57074]) ).
tcf(c_58173,plain,
! [X0: $i,X1: $i] :
( midp(sK25,X0,X1)
| ~ coll(sK25,X0,X1)
| ~ cong(sK25,X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_58174,plain,
( midp(sK25,sK20,sK20)
| ~ coll(sK25,sK20,sK20)
| ~ cong(sK25,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_58173]) ).
tcf(c_58681,plain,
! [X0: $i,X1: $i] :
( midp(sK26,X0,X1)
| ~ coll(sK26,X0,X1)
| ~ cong(sK26,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_58682,plain,
( midp(sK26,sK20,sK20)
| ~ coll(sK26,sK20,sK20)
| ~ cong(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_58681]) ).
tcf(c_59756,plain,
! [X0: $i] :
( cong(X0,sK24,X0,sK24)
| ~ midp(X0,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_59758,plain,
( cong(sK20,sK24,sK20,sK24)
| ~ midp(sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_59756]) ).
tcf(c_65563,plain,
! [X0: $i] :
( cong(sK20,sK26,sK20,sK26)
| ~ midp(sK26,sK20,X0)
| ~ perp(sK20,sK20,sK20,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_65564,plain,
( cong(sK20,sK26,sK20,sK26)
| ~ midp(sK26,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_65563]) ).
tcf(c_70905,plain,
! [X0: $i,X1: $i] :
( eqangle(sK26,sK25,sK22,sK24,X0,X1,sK22,sK24)
| ~ para(sK26,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_71521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK22,sK24,X2,X3)
| ~ eqangle(sK22,sK24,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_71776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK22,sK24,sK26,sK25,X2,X3,X0,X1)
| ~ eqangle(sK26,sK25,sK22,sK24,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_74252,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK24,sK24)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK24,X1,sK24) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_76143,plain,
! [X0: $i,X1: $i] :
( perp(sK26,sK25,X0,X1)
| ~ perp(X0,X1,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_76144,plain,
( perp(sK26,sK25,sK20,sK20)
| ~ perp(sK20,sK20,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_76143]) ).
tcf(c_76712,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK24,sK26,sK25,sK22,sK24,X0,X1)
| ~ eqangle(sK26,sK25,sK22,sK24,X0,X1,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_71776]) ).
tcf(c_77006,plain,
( eqangle(sK26,sK25,sK22,sK24,sK26,sK25,sK22,sK24)
| ~ para(sK26,sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_70905]) ).
tcf(c_80792,plain,
( eqangle(sK22,sK24,sK26,sK25,sK22,sK24,sK26,sK25)
| ~ eqangle(sK26,sK25,sK22,sK24,sK26,sK25,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_76712]) ).
tcf(c_80793,plain,
( para(sK22,sK24,sK22,sK24)
| ~ eqangle(sK22,sK24,sK26,sK25,sK22,sK24,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_71521]) ).
tcf(c_81344,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK25,sK26,sK25)
| ~ perp(sK26,sK25,X0,X1)
| ~ perp(X0,X1,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_81345,plain,
( para(sK26,sK25,sK26,sK25)
| ~ perp(sK20,sK20,sK26,sK25)
| ~ perp(sK26,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_81344]) ).
tcf(c_87465,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_74252]) ).
tcf(c_87466,plain,
( midp(sK20,sK24,sK24)
| ~ midp(sK20,sK22,sK22)
| ~ para(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_87465]) ).
tcf(c_87467,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_87466,c_81345,c_80793,c_80792,c_77006,c_76144,c_65564,c_59758,c_58682,c_58174,c_57075,c_54410,c_53819,c_47104,c_47098,c_45675,c_43558,c_43552,c_42284,c_41406,c_28820,c_27454,c_27346,c_25699,c_25697,c_23229,c_20411,c_20409,c_19811,c_17342,c_13406,c_13133,c_13096,c_12692,c_12558,c_12504,c_12499,c_11403,c_11227,c_10613,c_10509,c_9979,c_8431,c_8194,c_7685,c_7320,c_7314,c_7183,c_7156,c_7150,c_7100,c_7072,c_7007,c_7003,c_6960,c_6850,c_6849,c_6746,c_6659,c_6650,c_6637,c_6621,c_6617,c_6594,c_6592,c_2351,c_2187,c_1847,c_1829,c_231,c_182,c_177,c_173,c_162,c_165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO586+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 12:28:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 81.21/11.81 % SZS status Started for theBenchmark.p
% 81.21/11.81 % SZS status Theorem for theBenchmark.p
% 81.21/11.81
% 81.21/11.81 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 81.21/11.81
% 81.21/11.81 % ------ iProver source info
% 81.21/11.81
% 81.21/11.81 % git: date: 2026-07-19 20:42:38 +0200
% 81.21/11.81 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 81.21/11.81 % git: non_committed_changes: false
% 81.21/11.81
% 81.21/11.81 % ------ Parsing...
% 81.21/11.81 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 81.21/11.81
% 81.21/11.81 % ------ 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 %
% 81.21/11.81
% 81.21/11.81 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 81.21/11.81
% 81.21/11.81 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 81.21/11.81 % ------ Proving...
% 81.21/11.81 % ------ Problem Properties
% 81.21/11.81
% 81.21/11.81 %
% 81.21/11.81 % clauses 118
% 81.21/11.81 % conjectures 6
% 81.21/11.81 % EPR 81
% 81.21/11.81 % Horn 108
% 81.21/11.81 % unary 6
% 81.21/11.81 % binary 37
% 81.21/11.81 % lits 334
% 81.21/11.81 % lits eq 4
% 81.21/11.81 % fd_pure 0
% 81.21/11.81 % fd_pseudo 0
% 81.21/11.81 % fd_cond 0
% 81.21/11.81 % fd_pseudo_cond 4
% 81.21/11.81 % AC symbols 0
% 81.21/11.81
% 81.21/11.81 % ------ Input Options Time Limit: Unbounded
% 81.21/11.81
% 81.21/11.81
% 81.21/11.81 % ------
% 81.21/11.81 % Current options:
% 81.21/11.81 % ------
% 81.21/11.81
% 81.21/11.81
% 81.21/11.81 %
% 81.21/11.81
% 81.21/11.81 % ------ Proving...
% 81.21/11.81 %
% 81.21/11.81
% 81.21/11.81 % SZS status Theorem for theBenchmark.p
% 81.21/11.81
% 81.21/11.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 81.21/11.83
% 81.21/11.83
%------------------------------------------------------------------------------