%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO562+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 : n017.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 01:21:29 PM UTC 2026
% Result : Theorem 85.47s 14.86s
% Output : CNFRefutation 85.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 46
% Syntax : Number of formulae : 633 ( 161 unt; 0 def)
% Number of atoms : 1412 ( 4 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 1425 ( 646 ~; 646 |; 86 &)
% ( 0 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-5 aty)
% Number of variables : 1355 ( 0 sgn1328 !; 27 ?; 483 :)
% 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(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(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
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(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/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(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/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(f42,axiom,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/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(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(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f85,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X0,X1,X1,X4)
& cong(X4,X2,X4,X3) )
=> ( cong(X1,X2,X1,X5)
& para(X5,X2,X0,X1)
& cong(X4,X2,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX9) ).
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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X8,X1,X6)
& coll(X8,X0,X4)
& coll(X7,X1,X2)
& coll(X7,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X5,X0,X4)
& coll(X5,X1,X3)
& circle(X3,X0,X4,X9)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X8,X8,X1,X1,X2,X2,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214023) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X8,X1,X6)
& coll(X8,X0,X4)
& coll(X7,X1,X2)
& coll(X7,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X5,X0,X4)
& coll(X5,X1,X3)
& circle(X3,X0,X4,X9)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X8,X8,X1,X1,X2,X2,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(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(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(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
fof(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(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(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3)
| ( cong(X1,X2,X1,X5)
& para(X5,X2,X0,X1)
& cong(X4,X2,X4,X5) ) ),
inference(ennf_transformation,[],[f85]) ).
fof(f231,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3)
| ( cong(X1,X2,X1,X5)
& para(X5,X2,X0,X1)
& cong(X4,X2,X4,X5) ) ),
inference(flattening,[],[f230]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( coll(X8,X1,X6)
& coll(X8,X0,X4)
& coll(X7,X1,X2)
& coll(X7,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X5,X0,X4)
& coll(X5,X1,X3)
& circle(X3,X0,X4,X9)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X1,X2)
& ~ eqangle(X0,X8,X8,X1,X1,X2,X2,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( coll(X8,X1,X6)
& coll(X8,X0,X4)
& coll(X7,X1,X2)
& coll(X7,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X5,X0,X4)
& coll(X5,X1,X3)
& circle(X3,X0,X4,X9)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X1,X2)
& ~ eqangle(X0,X8,X8,X1,X1,X2,X2,X6) ),
inference(flattening,[],[f249]) ).
fof(f260,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3)
| ( cong(X1,X2,X1,sK8(X0,X1,X2,X3,X4))
& para(sK8(X0,X1,X2,X3,X4),X2,X0,X1)
& cong(X4,X2,X4,sK8(X0,X1,X2,X3,X4)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X5,sK8(X0,X1,X2,X3,X4))],[f231]) ).
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(f270,plain,
( coll(sK28,sK21,sK26)
& coll(sK28,sK20,sK24)
& coll(sK27,sK21,sK22)
& coll(sK27,sK20,sK24)
& circle(sK23,sK20,sK26,sK30)
& coll(sK25,sK20,sK24)
& coll(sK25,sK21,sK23)
& circle(sK23,sK20,sK24,sK29)
& perp(sK21,sK23,sK20,sK24)
& circle(sK23,sK20,sK21,sK22)
& ~ eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30]),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),skolemize(X10,sK30)],[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(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f116]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(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(f288,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(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(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(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X1,X4)
| ~ cong(X4,X2,X4,X3)
| cong(X4,X2,X4,sK8(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f260]) ).
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(f384,plain,
coll(sK28,sK21,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
coll(sK28,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK27,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
coll(sK27,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
circle(sK23,sK20,sK26,sK30),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
coll(sK25,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
coll(sK25,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
perp(sK21,sK23,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,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_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X3,X2,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_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_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_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_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_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(X2,X3,X2,sK8(X0,X1,X3,X4,X2))
| ~ cong(X2,X3,X2,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f365]) ).
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_162,negated_conjecture,
~ eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,sK26),
inference(cnf_transformation,[],[f394]) ).
tcf(c_163,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f393]) ).
tcf(c_164,negated_conjecture,
perp(sK21,sK23,sK20,sK24),
inference(cnf_transformation,[],[f392]) ).
tcf(c_166,negated_conjecture,
coll(sK25,sK21,sK23),
inference(cnf_transformation,[],[f390]) ).
tcf(c_167,negated_conjecture,
coll(sK25,sK20,sK24),
inference(cnf_transformation,[],[f389]) ).
tcf(c_168,negated_conjecture,
circle(sK23,sK20,sK26,sK30),
inference(cnf_transformation,[],[f388]) ).
tcf(c_169,negated_conjecture,
coll(sK27,sK20,sK24),
inference(cnf_transformation,[],[f387]) ).
tcf(c_170,negated_conjecture,
coll(sK27,sK21,sK22),
inference(cnf_transformation,[],[f386]) ).
tcf(c_171,negated_conjecture,
coll(sK28,sK20,sK24),
inference(cnf_transformation,[],[f385]) ).
tcf(c_172,negated_conjecture,
coll(sK28,sK21,sK26),
inference(cnf_transformation,[],[f384]) ).
tcf(c_178,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_181,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_187,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_236,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_2201,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_2202,plain,
perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23),
inference(unflattening,[status(thm)],[c_2201]) ).
tcf(c_6674,plain,
( perp(sK20,sK24,sK21,sK23)
| ~ perp(sK21,sK23,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_6693,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK24)
| ~ perp(sK21,sK23,sK20,sK24)
| ~ perp(X0,X1,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_6773,plain,
coll(sK25,sK23,sK21),
inference(superposition,[status(thm)],[c_166,c_49]) ).
tcf(c_6774,plain,
coll(sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_6775,plain,
coll(sK27,sK24,sK20),
inference(superposition,[status(thm)],[c_169,c_49]) ).
tcf(c_6776,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_170,c_49]) ).
tcf(c_6777,plain,
coll(sK28,sK24,sK20),
inference(superposition,[status(thm)],[c_171,c_49]) ).
tcf(c_6778,plain,
coll(sK28,sK26,sK21),
inference(superposition,[status(thm)],[c_172,c_49]) ).
tcf(c_6793,plain,
coll(sK21,sK25,sK23),
inference(superposition,[status(thm)],[c_166,c_50]) ).
tcf(c_6794,plain,
coll(sK20,sK25,sK24),
inference(superposition,[status(thm)],[c_167,c_50]) ).
tcf(c_6795,plain,
coll(sK20,sK27,sK24),
inference(superposition,[status(thm)],[c_169,c_50]) ).
tcf(c_6796,plain,
coll(sK21,sK27,sK22),
inference(superposition,[status(thm)],[c_170,c_50]) ).
tcf(c_6797,plain,
coll(sK20,sK28,sK24),
inference(superposition,[status(thm)],[c_171,c_50]) ).
tcf(c_6815,plain,
coll(sK23,sK25,sK21),
inference(superposition,[status(thm)],[c_6773,c_50]) ).
tcf(c_6829,plain,
coll(sK24,sK27,sK20),
inference(superposition,[status(thm)],[c_6775,c_50]) ).
tcf(c_6831,plain,
coll(sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_6776,c_50]) ).
tcf(c_6838,plain,
coll(sK21,sK23,sK25),
inference(superposition,[status(thm)],[c_6793,c_49]) ).
tcf(c_6840,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_6856,plain,
coll(sK20,sK24,sK25),
inference(superposition,[status(thm)],[c_6794,c_49]) ).
tcf(c_6858,plain,
coll(sK20,sK24,sK27),
inference(superposition,[status(thm)],[c_6795,c_49]) ).
tcf(c_6860,plain,
coll(sK21,sK22,sK27),
inference(superposition,[status(thm)],[c_6796,c_49]) ).
tcf(c_6862,plain,
coll(sK20,sK24,sK28),
inference(superposition,[status(thm)],[c_6797,c_49]) ).
tcf(c_7018,plain,
! [X0: $i] :
( coll(sK24,X0,sK27)
| ~ coll(sK27,sK20,X0) ),
inference(superposition,[status(thm)],[c_169,c_51]) ).
tcf(c_7019,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_170,c_51]) ).
tcf(c_7021,plain,
! [X0: $i] :
( coll(sK26,X0,sK28)
| ~ coll(sK28,sK21,X0) ),
inference(superposition,[status(thm)],[c_172,c_51]) ).
tcf(c_7022,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_6773,c_51]) ).
tcf(c_7023,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK24,X0) ),
inference(superposition,[status(thm)],[c_6774,c_51]) ).
tcf(c_7024,plain,
! [X0: $i] :
( coll(sK20,X0,sK27)
| ~ coll(sK27,sK24,X0) ),
inference(superposition,[status(thm)],[c_6775,c_51]) ).
tcf(c_7025,plain,
! [X0: $i] :
( coll(sK21,X0,sK27)
| ~ coll(sK27,sK22,X0) ),
inference(superposition,[status(thm)],[c_6776,c_51]) ).
tcf(c_7026,plain,
! [X0: $i] :
( coll(sK20,X0,sK28)
| ~ coll(sK28,sK24,X0) ),
inference(superposition,[status(thm)],[c_6777,c_51]) ).
tcf(c_7027,plain,
! [X0: $i] :
( coll(sK21,X0,sK28)
| ~ coll(sK28,sK26,X0) ),
inference(superposition,[status(thm)],[c_6778,c_51]) ).
tcf(c_7028,plain,
! [X0: $i] :
( coll(sK23,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_6793,c_51]) ).
tcf(c_7031,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK27,X0) ),
inference(superposition,[status(thm)],[c_6796,c_51]) ).
tcf(c_7034,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_6856,c_51]) ).
tcf(c_7035,plain,
! [X0: $i] :
( coll(sK27,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_6858,c_51]) ).
tcf(c_7036,plain,
! [X0: $i] :
( coll(sK28,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_6862,c_51]) ).
tcf(c_7037,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_6815,c_51]) ).
tcf(c_7039,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK27,X0) ),
inference(superposition,[status(thm)],[c_6829,c_51]) ).
tcf(c_7040,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK27,X0) ),
inference(superposition,[status(thm)],[c_6831,c_51]) ).
tcf(c_7043,plain,
! [X0: $i] :
( coll(sK25,X0,sK21)
| ~ coll(sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_6838,c_51]) ).
tcf(c_7044,plain,
! [X0: $i] :
( coll(sK27,X0,sK21)
| ~ coll(sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_6860,c_51]) ).
tcf(c_7060,plain,
( coll(sK21,sK20,sK22)
| ~ coll(sK22,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_7040]) ).
tcf(c_7069,plain,
( coll(sK22,sK20,sK21)
| ~ coll(sK21,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_7031]) ).
tcf(c_7073,plain,
( coll(sK21,sK20,sK28)
| ~ coll(sK28,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_7027]) ).
tcf(c_7101,plain,
( para(sK20,sK24,sK20,sK24)
| ~ perp(sK21,sK23,sK20,sK24)
| ~ perp(sK20,sK24,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_6693]) ).
tcf(c_7245,plain,
coll(sK24,sK24,sK27),
inference(superposition,[status(thm)],[c_169,c_7018]) ).
tcf(c_7246,plain,
! [X0: $i] :
( coll(sK27,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_7245,c_51]) ).
tcf(c_7256,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_170,c_7019]) ).
tcf(c_7262,plain,
! [X0: $i] :
( coll(sK27,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_7256,c_51]) ).
tcf(c_7264,plain,
coll(sK22,sK27,sK22),
inference(superposition,[status(thm)],[c_7256,c_49]) ).
tcf(c_7312,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK27,X0) ),
inference(superposition,[status(thm)],[c_7264,c_51]) ).
tcf(c_7315,plain,
( coll(sK22,sK20,sK22)
| ~ coll(sK22,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_7312]) ).
tcf(c_7327,plain,
coll(sK26,sK26,sK28),
inference(superposition,[status(thm)],[c_172,c_7021]) ).
tcf(c_7333,plain,
! [X0: $i] :
( coll(sK28,X0,sK26)
| ~ coll(sK26,sK26,X0) ),
inference(superposition,[status(thm)],[c_7327,c_51]) ).
tcf(c_7349,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_6773,c_7022]) ).
tcf(c_7351,plain,
! [X0: $i] :
( coll(sK25,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_7349,c_51]) ).
tcf(c_7353,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_7349,c_49]) ).
tcf(c_7362,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_6774,c_7023]) ).
tcf(c_7365,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_7362,c_49]) ).
tcf(c_7375,plain,
coll(sK20,sK20,sK27),
inference(superposition,[status(thm)],[c_6775,c_7024]) ).
tcf(c_7427,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_170,c_49]) ).
tcf(c_7428,plain,
coll(sK28,sK24,sK20),
inference(superposition,[status(thm)],[c_171,c_49]) ).
tcf(c_7432,plain,
coll(sK21,sK25,sK23),
inference(superposition,[status(thm)],[c_166,c_50]) ).
tcf(c_7433,plain,
coll(sK20,sK25,sK24),
inference(superposition,[status(thm)],[c_167,c_50]) ).
tcf(c_7434,plain,
coll(sK20,sK27,sK24),
inference(superposition,[status(thm)],[c_169,c_50]) ).
tcf(c_7435,plain,
coll(sK21,sK27,sK22),
inference(superposition,[status(thm)],[c_170,c_50]) ).
tcf(c_7436,plain,
coll(sK20,sK28,sK24),
inference(superposition,[status(thm)],[c_171,c_50]) ).
tcf(c_7445,plain,
coll(sK20,sK27,sK20),
inference(superposition,[status(thm)],[c_7375,c_49]) ).
tcf(c_7459,plain,
coll(sK21,sK23,sK25),
inference(superposition,[status(thm)],[c_7432,c_49]) ).
tcf(c_7470,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_7427,c_7025]) ).
tcf(c_7473,plain,
coll(sK20,sK20,sK28),
inference(superposition,[status(thm)],[c_7428,c_7026]) ).
tcf(c_7483,plain,
coll(sK20,sK24,sK25),
inference(superposition,[status(thm)],[c_7433,c_49]) ).
tcf(c_7485,plain,
coll(sK20,sK24,sK27),
inference(superposition,[status(thm)],[c_7434,c_49]) ).
tcf(c_7487,plain,
coll(sK21,sK22,sK27),
inference(superposition,[status(thm)],[c_7435,c_49]) ).
tcf(c_7489,plain,
coll(sK20,sK24,sK28),
inference(superposition,[status(thm)],[c_7436,c_49]) ).
tcf(c_7504,plain,
perp(sK21,sK23,sK24,sK20),
inference(superposition,[status(thm)],[c_164,c_55]) ).
tcf(c_7507,plain,
perp(sK20,sK24,sK21,sK23),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_7536,plain,
coll(sK20,sK28,sK20),
inference(superposition,[status(thm)],[c_7473,c_49]) ).
tcf(c_7545,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_7563,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_7483,c_7034]) ).
tcf(c_7567,plain,
coll(sK27,sK27,sK20),
inference(superposition,[status(thm)],[c_7485,c_7035]) ).
tcf(c_7573,plain,
coll(sK28,sK28,sK20),
inference(superposition,[status(thm)],[c_7489,c_7036]) ).
tcf(c_7590,plain,
! [X0: $i] :
( coll(sK24,X0,sK27)
| ~ coll(sK27,sK20,X0) ),
inference(superposition,[status(thm)],[c_169,c_51]) ).
tcf(c_7591,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_170,c_51]) ).
tcf(c_7593,plain,
! [X0: $i] :
( coll(sK26,X0,sK28)
| ~ coll(sK28,sK21,X0) ),
inference(superposition,[status(thm)],[c_172,c_51]) ).
tcf(c_7618,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_7365,c_51]) ).
tcf(c_7622,plain,
! [X0: $i] :
( coll(sK21,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_7353,c_51]) ).
tcf(c_7631,plain,
( coll(sK21,sK20,sK21)
| ~ coll(sK21,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_7622]) ).
tcf(c_7634,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_7618]) ).
tcf(c_7720,plain,
coll(sK24,sK24,sK27),
inference(superposition,[status(thm)],[c_169,c_7590]) ).
tcf(c_7746,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_170,c_7591]) ).
tcf(c_7776,plain,
coll(sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_7459,c_7043]) ).
tcf(c_7779,plain,
coll(sK27,sK27,sK21),
inference(superposition,[status(thm)],[c_7487,c_7044]) ).
tcf(c_7788,plain,
coll(sK26,sK26,sK28),
inference(superposition,[status(thm)],[c_172,c_7593]) ).
tcf(c_7792,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_7794,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_7993,plain,
coll(sK27,sK27,sK24),
inference(superposition,[status(thm)],[c_7720,c_7246]) ).
tcf(c_8005,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK24,X0,X1,sK20,sK24,X0,X1)
| ~ para(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_8007,plain,
( eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20)
| ~ para(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_8005]) ).
tcf(c_8016,plain,
! [X0: $i] :
( coll(sK24,X0,sK27)
| ~ coll(sK27,sK27,X0) ),
inference(superposition,[status(thm)],[c_7993,c_51]) ).
tcf(c_8018,plain,
coll(sK27,sK24,sK27),
inference(superposition,[status(thm)],[c_7993,c_49]) ).
tcf(c_8039,plain,
coll(sK27,sK27,sK22),
inference(superposition,[status(thm)],[c_7746,c_7262]) ).
tcf(c_8052,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK27,X0) ),
inference(superposition,[status(thm)],[c_8039,c_51]) ).
tcf(c_8055,plain,
( coll(sK22,sK20,sK27)
| ~ coll(sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_8052]) ).
tcf(c_8098,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_8100,plain,
( perp(sK20,sK26,sK26,sK30)
| ~ coll(sK23,sK20,sK30) ),
inference(superposition,[status(thm)],[c_168,c_102]) ).
tcf(c_8110,plain,
( cong(sK21,sK24,sK21,sK20)
| ~ midp(sK23,sK24,sK20) ),
inference(superposition,[status(thm)],[c_7504,c_104]) ).
tcf(c_8111,plain,
( cong(sK20,sK21,sK20,sK23)
| ~ midp(sK24,sK21,sK23) ),
inference(superposition,[status(thm)],[c_7507,c_104]) ).
tcf(c_8170,plain,
perp(sK21,sK23,sK24,sK20),
inference(resolution,[status(thm)],[c_55,c_164]) ).
tcf(c_8174,plain,
( perp(sK21,sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_8098,c_56]) ).
tcf(c_8175,plain,
( perp(sK20,sK21,sK22,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_8098,c_55]) ).
tcf(c_8176,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_8098,c_101]) ).
tcf(c_8177,plain,
( cong(sK20,sK20,sK21,sK20)
| ~ midp(sK20,sK20,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8176]) ).
tcf(c_8242,plain,
( perp(sK26,sK30,sK20,sK26)
| ~ coll(sK23,sK20,sK30) ),
inference(superposition,[status(thm)],[c_8100,c_56]) ).
tcf(c_8415,plain,
coll(sK28,sK28,sK26),
inference(superposition,[status(thm)],[c_7788,c_7333]) ).
tcf(c_8417,plain,
! [X0: $i] :
( coll(sK26,X0,sK28)
| ~ coll(sK28,sK28,X0) ),
inference(superposition,[status(thm)],[c_8415,c_51]) ).
tcf(c_8420,plain,
( coll(sK26,sK20,sK28)
| ~ coll(sK28,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_8417]) ).
tcf(c_8443,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_8098,c_57]) ).
tcf(c_8445,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK26,X0,X1)
| ~ coll(sK23,sK20,sK30)
| ~ perp(sK26,sK30,X0,X1) ),
inference(superposition,[status(thm)],[c_8100,c_57]) ).
tcf(c_8524,plain,
coll(sK25,sK27,sK21),
inference(superposition,[status(thm)],[c_7470,c_7351]) ).
tcf(c_8592,plain,
! [X0: $i] :
( circle(sK21,sK24,X0,sK20)
| ~ midp(sK23,sK24,sK20)
| ~ cong(sK21,sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_8110,c_60]) ).
tcf(c_8621,plain,
( cong(sK20,sK23,sK20,sK21)
| ~ midp(sK24,sK21,sK23) ),
inference(superposition,[status(thm)],[c_8111,c_72]) ).
tcf(c_8626,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_8174,c_57]) ).
tcf(c_8697,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK21,X0,X1)
| ~ midp(sK24,sK21,sK23)
| ~ cong(sK20,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_8111,c_73]) ).
tcf(c_8739,plain,
( perp(sK22,sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_8175,c_56]) ).
tcf(c_8914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X2,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_89,c_66]) ).
tcf(c_8931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X1,X2,X0,X3,X1,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_89,c_67]) ).
tcf(c_9067,plain,
( coll(sK23,sK20,sK30)
| ~ coll(sK23,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_9082,plain,
! [X0: $i] :
( coll(sK21,sK25,X0)
| ~ coll(sK21,X0,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_9083,plain,
( coll(sK21,sK25,sK20)
| ~ coll(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_9082]) ).
tcf(c_9084,plain,
! [X0: $i] :
( coll(sK21,sK27,X0)
| ~ coll(sK21,X0,sK27) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_9085,plain,
( coll(sK21,sK27,sK20)
| ~ coll(sK21,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_9084]) ).
tcf(c_9086,plain,
! [X0: $i] :
( coll(sK21,sK28,X0)
| ~ coll(sK21,X0,sK28) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_9087,plain,
( coll(sK21,sK28,sK20)
| ~ coll(sK21,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_9086]) ).
tcf(c_9111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_69]) ).
tcf(c_9175,plain,
! [X0: $i] :
( coll(sK28,sK26,X0)
| ~ coll(sK26,sK28,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_9176,plain,
( coll(sK28,sK26,sK20)
| ~ coll(sK26,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_9175]) ).
tcf(c_9197,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7545,c_72]) ).
tcf(c_9235,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_9197,c_71]) ).
tcf(c_9262,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK20,X0,X1,X2)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22)
| ~ cong(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8176,c_73]) ).
tcf(c_9264,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_8176,c_71]) ).
tcf(c_9265,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X1,X0)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X1,sK20,sK22)
| ~ cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_8176,c_105]) ).
tcf(c_9393,plain,
( para(sK20,sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_8174,c_8443]) ).
tcf(c_9406,plain,
( para(sK20,sK26,sK20,sK26)
| ~ coll(sK23,sK20,sK30) ),
inference(superposition,[status(thm)],[c_8242,c_8445]) ).
tcf(c_9511,plain,
perp(sK20,sK24,sK21,sK23),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_9894,plain,
! [X0: $i] :
( coll(sK23,sK20,sK22)
| ~ coll(sK22,X0,sK23)
| ~ coll(sK22,X0,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_9922,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_9939,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_7776,c_51]) ).
tcf(c_9942,plain,
( coll(sK21,sK20,sK25)
| ~ coll(sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_9939]) ).
tcf(c_9948,plain,
! [X0: $i] :
( coll(sK21,X0,sK27)
| ~ coll(sK27,sK27,X0) ),
inference(superposition,[status(thm)],[c_7779,c_51]) ).
tcf(c_9951,plain,
( coll(sK21,sK20,sK27)
| ~ coll(sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_9948]) ).
tcf(c_10079,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK23,X0,X1)
| ~ perp(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
tcf(c_10152,plain,
para(sK21,sK23,sK21,sK23),
inference(superposition,[status(thm)],[c_9511,c_10079]) ).
tcf(c_11773,plain,
! [X0: $i] :
( coll(sK22,sK27,X0)
| ~ coll(sK22,X0,sK27) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_11774,plain,
( coll(sK22,sK27,sK20)
| ~ coll(sK22,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_11773]) ).
tcf(c_11853,plain,
! [X0: $i] :
( coll(sK26,sK28,X0)
| ~ coll(sK26,X0,sK28) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_11854,plain,
( coll(sK26,sK28,sK20)
| ~ coll(sK26,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_11853]) ).
tcf(c_12224,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK23,sK21,sK23) ),
inference(superposition,[status(thm)],[c_10152,c_113]) ).
tcf(c_12229,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12224,c_10152]) ).
tcf(c_12232,plain,
( midp(sK20,sK23,sK23)
| ~ midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_12229]) ).
tcf(c_12392,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_7794]) ).
tcf(c_12433,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK24,sK20)
| ~ para(X0,X1,sK21,sK23) ),
inference(resolution,[status(thm)],[c_58,c_8170]) ).
tcf(c_12543,plain,
! [X0: $i] :
( cyclic(sK24,X0,sK20,sK20)
| ~ coll(sK20,sK20,X0)
| ~ eqangle(sK20,sK24,sK20,X0,sK20,sK24,sK20,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_12545,plain,
( cyclic(sK24,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12543]) ).
tcf(c_12663,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK20,X0,X1)
| ~ para(X0,X1,sK21,sK23) ),
inference(resolution,[status(thm)],[c_12433,c_56]) ).
tcf(c_12664,plain,
( perp(sK24,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_12663]) ).
tcf(c_14250,plain,
perp(sK20,sK24,sK21,sK23),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_14287,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_170,c_51]) ).
tcf(c_14289,plain,
! [X0: $i] :
( coll(sK26,X0,sK28)
| ~ coll(sK28,sK21,X0) ),
inference(superposition,[status(thm)],[c_172,c_51]) ).
tcf(c_14347,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_170,c_14287]) ).
tcf(c_14382,plain,
coll(sK26,sK26,sK28),
inference(superposition,[status(thm)],[c_172,c_14289]) ).
tcf(c_14419,plain,
coll(sK28,sK28,sK26),
inference(superposition,[status(thm)],[c_14382,c_7333]) ).
tcf(c_14473,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK24,X0,X1)
| ~ perp(sK21,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_14250,c_57]) ).
tcf(c_14485,plain,
para(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_164,c_14473]) ).
tcf(c_14712,plain,
coll(sK27,sK27,sK22),
inference(superposition,[status(thm)],[c_14347,c_7262]) ).
tcf(c_14756,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_14871,plain,
! [X0: $i] :
( cyclic(sK24,X0,sK20,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_14485,c_14756]) ).
tcf(c_14980,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK20,sK20,X1)
| ~ coll(sK20,sK20,X0)
| ~ cyclic(sK24,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_14871,c_65]) ).
tcf(c_14986,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cyclic(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_14980]) ).
tcf(c_16058,plain,
( coll(sK23,sK20,sK22)
| ~ coll(sK22,sK27,sK23)
| ~ coll(sK22,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_9894]) ).
tcf(c_16390,plain,
! [X0: $i] :
( coll(sK20,X0,sK27)
| ~ coll(sK27,sK27,X0) ),
inference(superposition,[status(thm)],[c_7567,c_51]) ).
tcf(c_16396,plain,
! [X0: $i] :
( coll(sK20,X0,sK28)
| ~ coll(sK28,sK28,X0) ),
inference(superposition,[status(thm)],[c_7573,c_51]) ).
tcf(c_16951,plain,
! [X0: $i] :
( eqangle(sK20,X0,sK20,sK26,sK30,sK20,sK30,sK26)
| ~ perp(sK23,sK20,sK20,X0) ),
inference(resolution,[status(thm)],[c_97,c_168]) ).
tcf(c_17389,plain,
( coll(sK20,sK30,sK20)
| cyclic(sK20,sK26,sK20,sK30)
| ~ perp(sK23,sK20,sK20,sK20) ),
inference(resolution,[status(thm)],[c_16951,c_90]) ).
tcf(c_17694,plain,
! [X0: $i,X1: $i] :
( coll(sK23,X0,X1)
| ~ para(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_17695,plain,
( coll(sK23,sK20,sK20)
| ~ para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_17694]) ).
tcf(c_18716,plain,
( eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,sK26)
| ~ eqangle(sK28,sK20,sK28,sK21,sK21,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_19128,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK20,sK23)
| ~ coll(sK23,X0,sK20)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_19129,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19128]) ).
tcf(c_19141,plain,
coll(sK25,sK21,sK27),
inference(superposition,[status(thm)],[c_8524,c_49]) ).
tcf(c_19294,plain,
coll(sK21,sK25,sK27),
inference(superposition,[status(thm)],[c_19141,c_50]) ).
tcf(c_19704,plain,
coll(sK23,sK27,sK21),
inference(superposition,[status(thm)],[c_19294,c_7028]) ).
tcf(c_19796,plain,
coll(sK27,sK23,sK21),
inference(superposition,[status(thm)],[c_19704,c_50]) ).
tcf(c_20065,plain,
coll(sK27,sK21,sK23),
inference(superposition,[status(thm)],[c_19796,c_49]) ).
tcf(c_20613,plain,
coll(sK20,sK22,sK27),
inference(superposition,[status(thm)],[c_14712,c_16390]) ).
tcf(c_20634,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_20613,c_49]) ).
tcf(c_20822,plain,
coll(sK20,sK26,sK28),
inference(superposition,[status(thm)],[c_14419,c_16396]) ).
tcf(c_20911,plain,
coll(sK20,sK28,sK26),
inference(superposition,[status(thm)],[c_20822,c_49]) ).
tcf(c_21032,plain,
coll(sK22,sK23,sK27),
inference(superposition,[status(thm)],[c_20065,c_14287]) ).
tcf(c_21124,plain,
! [X0: $i] :
( coll(sK23,sK30,sK20)
| ~ coll(sK20,X0,sK30)
| ~ coll(sK20,X0,sK23) ),
inference(instantiation,[status(thm)],[c_9922]) ).
tcf(c_21125,plain,
( coll(sK23,sK30,sK20)
| ~ coll(sK20,sK20,sK30)
| ~ coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_21124]) ).
tcf(c_21192,plain,
coll(sK22,sK27,sK23),
inference(superposition,[status(thm)],[c_21032,c_49]) ).
tcf(c_21291,plain,
( eqangle(sK28,sK20,sK28,sK21,sK21,sK22,sK22,sK26)
| ~ eqangle(sK21,sK22,sK22,sK26,sK28,sK20,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_21812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK21,sK23)
| ~ perp(X2,X3,sK21,sK23)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_21816,plain,
( para(sK20,sK20,sK21,sK23)
| ~ perp(sK20,sK20,sK21,sK23)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21812]) ).
tcf(c_22028,plain,
! [X0: $i,X1: $i] :
( cong(sK22,X0,sK22,X1)
| ~ cong(sK22,X0,X1,sK22) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_22029,plain,
( cong(sK22,sK20,sK22,sK20)
| ~ cong(sK22,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_22028]) ).
tcf(c_22106,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK27,X0) ),
inference(superposition,[status(thm)],[c_20634,c_51]) ).
tcf(c_22111,plain,
( coll(sK22,sK20,sK20)
| ~ coll(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_22106]) ).
tcf(c_22600,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK28,X0) ),
inference(superposition,[status(thm)],[c_20911,c_51]) ).
tcf(c_22605,plain,
( coll(sK26,sK20,sK20)
| ~ coll(sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_22600]) ).
tcf(c_23717,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK21,sK23)
| ~ cong(X0,sK23,X1,sK23)
| ~ cong(X0,sK21,X1,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_23718,plain,
( perp(sK20,sK20,sK21,sK23)
| ~ cong(sK20,sK23,sK20,sK23)
| ~ cong(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_23717]) ).
tcf(c_24504,plain,
coll(sK27,sK24,sK20),
inference(superposition,[status(thm)],[c_169,c_49]) ).
tcf(c_24654,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_166,c_51]) ).
tcf(c_24657,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_170,c_51]) ).
tcf(c_24662,plain,
! [X0: $i] :
( coll(sK20,X0,sK27)
| ~ coll(sK27,sK24,X0) ),
inference(superposition,[status(thm)],[c_24504,c_51]) ).
tcf(c_24721,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_170,c_24657]) ).
tcf(c_25062,plain,
coll(sK27,sK27,sK22),
inference(superposition,[status(thm)],[c_24721,c_7262]) ).
tcf(c_26853,plain,
coll(sK20,sK27,sK27),
inference(superposition,[status(thm)],[c_8018,c_24662]) ).
tcf(c_26910,plain,
coll(sK25,sK21,sK27),
inference(superposition,[status(thm)],[c_8524,c_49]) ).
tcf(c_26966,plain,
! [X0: $i] :
( coll(sK27,X0,sK20)
| ~ coll(sK20,sK27,X0) ),
inference(superposition,[status(thm)],[c_26853,c_51]) ).
tcf(c_27831,plain,
coll(sK24,sK22,sK27),
inference(superposition,[status(thm)],[c_25062,c_8016]) ).
tcf(c_27837,plain,
coll(sK24,sK27,sK22),
inference(superposition,[status(thm)],[c_27831,c_49]) ).
tcf(c_27864,plain,
coll(sK27,sK24,sK22),
inference(superposition,[status(thm)],[c_27837,c_50]) ).
tcf(c_27982,plain,
coll(sK23,sK27,sK25),
inference(superposition,[status(thm)],[c_26910,c_24654]) ).
tcf(c_28017,plain,
coll(sK23,sK25,sK27),
inference(superposition,[status(thm)],[c_27982,c_49]) ).
tcf(c_28025,plain,
coll(sK21,sK27,sK23),
inference(superposition,[status(thm)],[c_28017,c_7037]) ).
tcf(c_28209,plain,
coll(sK27,sK21,sK23),
inference(superposition,[status(thm)],[c_28025,c_50]) ).
tcf(c_28237,plain,
perp(sK22,sK21,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_8739,c_7567,c_8055,c_8739,c_11774,c_16058,c_21192]) ).
tcf(c_28240,plain,
( cong(sK22,sK20,sK22,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_28237,c_104]) ).
tcf(c_28569,plain,
coll(sK20,sK22,sK27),
inference(superposition,[status(thm)],[c_27864,c_24662]) ).
tcf(c_28671,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_28569,c_49]) ).
tcf(c_28691,plain,
! [X0: $i] :
( coll(sK20,X0,sK30)
| ~ coll(sK20,sK30,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_28692,plain,
( coll(sK20,sK20,sK30)
| ~ coll(sK20,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_28691]) ).
tcf(c_28747,plain,
para(sK20,sK21,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_9393,c_7567,c_8055,c_9393,c_11774,c_16058,c_21192]) ).
tcf(c_28749,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_28747,c_113]) ).
tcf(c_28750,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_28747,c_94]) ).
tcf(c_28756,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28749,c_28747]) ).
tcf(c_28757,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_28756]) ).
tcf(c_28758,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_28750]) ).
tcf(c_29069,plain,
! [X0: $i] :
( midp(X0,sK26,sK26)
| ~ coll(sK23,sK20,sK30)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK26,sK20,sK26) ),
inference(superposition,[status(thm)],[c_9406,c_113]) ).
tcf(c_29077,plain,
( midp(sK20,sK26,sK26)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK23,sK20,sK30)
| ~ para(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_29069]) ).
tcf(c_29464,plain,
coll(sK22,sK23,sK27),
inference(superposition,[status(thm)],[c_28209,c_24657]) ).
tcf(c_29539,plain,
coll(sK22,sK27,sK23),
inference(superposition,[status(thm)],[c_29464,c_49]) ).
tcf(c_29543,plain,
! [X0: $i] :
( coll(sK23,X0,sK22)
| ~ coll(sK22,sK27,X0) ),
inference(superposition,[status(thm)],[c_29539,c_51]) ).
tcf(c_30099,plain,
! [X0: $i] :
( cong(X0,sK23,X0,sK23)
| ~ midp(X0,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_30100,plain,
( cong(sK20,sK23,sK20,sK23)
| ~ midp(sK20,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_30099]) ).
tcf(c_30348,plain,
coll(sK27,sK22,sK20),
inference(superposition,[status(thm)],[c_28671,c_26966]) ).
tcf(c_30401,plain,
coll(sK22,sK27,sK20),
inference(superposition,[status(thm)],[c_30348,c_50]) ).
tcf(c_32275,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ midp(X0,sK20,sK22) ),
inference(global_subsumption_just,[status(thm)],[c_9264,c_7567,c_8055,c_9264,c_11774,c_16058,c_21192]) ).
tcf(c_32291,plain,
! [X0: $i] :
( perp(sK20,sK21,sK21,X0)
| ~ midp(sK21,sK20,sK22)
| ~ cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_32275,c_105]) ).
tcf(c_32297,plain,
( perp(sK20,sK21,sK21,sK20)
| ~ midp(sK21,sK20,sK22)
| ~ cong(sK20,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_32291]) ).
tcf(c_32662,plain,
! [X0: $i] :
( cong(X0,sK21,X0,sK21)
| ~ midp(X0,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_32663,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_32662]) ).
tcf(c_33284,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK20,X1,sK22)
| ~ midp(sK20,X0,X2)
| ~ para(X0,sK22,X2,X1)
| ~ para(X0,X1,X2,sK22) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_33285,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_33284]) ).
tcf(c_38474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK21,sK22,sK22,sK26,sK28,sK20,sK28,sK21)
| ~ eqangle(sK21,sK22,sK22,sK26,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK28,sK20,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_38475,plain,
( eqangle(sK21,sK22,sK22,sK26,sK28,sK20,sK28,sK21)
| ~ eqangle(sK21,sK22,sK22,sK26,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_38474]) ).
tcf(c_39452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK28,sK20,sK28,sK21,X2,X3,X0,X1)
| ~ eqangle(sK28,sK21,sK28,sK20,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_39453,plain,
( eqangle(sK28,sK20,sK28,sK21,sK20,sK20,sK20,sK20)
| ~ eqangle(sK28,sK21,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39452]) ).
tcf(c_39859,plain,
coll(sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_30401,c_29543]) ).
tcf(c_42236,plain,
para(sK20,sK21,sK20,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_9393,c_39859]) ).
tcf(c_42240,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK20,X0,X1,X2)
| ~ midp(X0,sK20,sK22)
| ~ cong(sK21,X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9262,c_39859]) ).
tcf(c_42246,plain,
perp(sK22,sK21,sK20,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_8739,c_39859]) ).
tcf(c_42251,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK22,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8626,c_39859]) ).
tcf(c_42312,plain,
perp(sK21,sK23,sK24,sK20),
inference(superposition,[status(thm)],[c_164,c_55]) ).
tcf(c_42398,plain,
! [X0: $i] :
( coll(sK24,X0,sK27)
| ~ coll(sK27,sK20,X0) ),
inference(superposition,[status(thm)],[c_169,c_51]) ).
tcf(c_42469,plain,
coll(sK24,sK24,sK27),
inference(superposition,[status(thm)],[c_169,c_42398]) ).
tcf(c_42545,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_42547,plain,
( perp(sK20,sK26,sK26,sK30)
| ~ coll(sK23,sK20,sK30) ),
inference(superposition,[status(thm)],[c_168,c_102]) ).
tcf(c_42548,plain,
perp(sK20,sK21,sK21,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_42545,c_39859]) ).
tcf(c_42552,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_42548,c_42251]) ).
tcf(c_42602,plain,
( cong(sK21,sK24,sK21,sK20)
| ~ midp(sK23,sK24,sK20) ),
inference(superposition,[status(thm)],[c_42312,c_104]) ).
tcf(c_42619,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK23,X0,X1)
| ~ perp(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_42312,c_57]) ).
tcf(c_42812,plain,
coll(sK27,sK27,sK24),
inference(superposition,[status(thm)],[c_42469,c_7246]) ).
tcf(c_42895,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_42236,c_52]) ).
tcf(c_42896,plain,
coll(sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_42236,c_115]) ).
tcf(c_42898,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ para(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_42895,c_54]) ).
tcf(c_42899,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_42895,c_53]) ).
tcf(c_42901,plain,
( para(sK20,sK21,sK20,sK20)
| ~ para(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_42898]) ).
tcf(c_42964,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK21,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_42246,c_57]) ).
tcf(c_42965,plain,
( cong(sK22,sK20,sK22,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_42246,c_104]) ).
tcf(c_43071,plain,
! [X0: $i] :
( midp(sK22,X0,sK22)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_42552,c_94]) ).
tcf(c_43072,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_43071]) ).
tcf(c_43086,plain,
cong(sK22,sK20,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_42965,c_164,c_178,c_181,c_236,c_6674,c_7101,c_7365,c_7563,c_7631,c_7634,c_8007,c_9083,c_9942,c_12545,c_14986,c_28240,c_28758]) ).
tcf(c_43089,plain,
( midp(sK22,sK20,sK21)
| ~ coll(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_43086,c_116]) ).
tcf(c_43092,plain,
cong(sK22,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_43086,c_71]) ).
tcf(c_43097,plain,
para(sK22,sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_42548,c_42964]) ).
tcf(c_43395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X1,X1)
| ~ cyclic(X1,X2,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_89,c_98]) ).
tcf(c_43692,plain,
! [X0: $i,X1: $i] :
( cong(sK30,X0,sK30,sK8(sK20,sK26,X0,X1,sK30))
| ~ coll(sK23,sK20,sK30)
| ~ cong(sK30,X0,sK30,X1) ),
inference(superposition,[status(thm)],[c_42547,c_141]) ).
tcf(c_43857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,sK8(sK20,sK26,X0,X1,sK30),X3)
| ~ coll(sK23,sK20,sK30)
| ~ cong(sK30,X0,sK30,X3)
| ~ cong(sK30,X0,sK30,X2)
| ~ cong(sK30,X0,sK30,X1) ),
inference(superposition,[status(thm)],[c_43692,c_61]) ).
tcf(c_43860,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,X0,sK21,X1)
| ~ cong(sK22,sK20,sK22,X1)
| ~ cong(sK22,sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_43086,c_61]) ).
tcf(c_43862,plain,
( cyclic(sK20,sK20,sK21,sK20)
| ~ cong(sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_43860]) ).
tcf(c_44105,plain,
! [X0: $i] :
( coll(sK21,X0,sK27)
| ~ coll(sK27,sK27,X0) ),
inference(superposition,[status(thm)],[c_7779,c_51]) ).
tcf(c_44342,plain,
coll(sK21,sK24,sK27),
inference(superposition,[status(thm)],[c_42812,c_44105]) ).
tcf(c_44758,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_42896,c_51]) ).
tcf(c_44788,plain,
coll(sK24,sK21,sK27),
inference(superposition,[status(thm)],[c_44342,c_50]) ).
tcf(c_44841,plain,
coll(sK24,sK27,sK21),
inference(superposition,[status(thm)],[c_44788,c_49]) ).
tcf(c_44880,plain,
! [X0: $i] :
( midp(sK21,X0,sK22)
| ~ midp(sK22,X0,sK21)
| ~ coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_43097,c_94]) ).
tcf(c_44887,plain,
( midp(sK21,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_44880]) ).
tcf(c_46120,plain,
coll(sK20,sK21,sK24),
inference(superposition,[status(thm)],[c_44841,c_7039]) ).
tcf(c_46222,plain,
coll(sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_46120,c_44758]) ).
tcf(c_47526,plain,
( circle(sK21,sK24,sK20,sK20)
| ~ midp(sK23,sK24,sK20) ),
inference(superposition,[status(thm)],[c_42602,c_8592]) ).
tcf(c_47531,plain,
( perp(sK24,sK20,sK20,sK20)
| ~ midp(sK23,sK24,sK20)
| ~ coll(sK21,sK24,sK20) ),
inference(superposition,[status(thm)],[c_47526,c_102]) ).
tcf(c_47532,plain,
( perp(sK24,sK20,sK20,sK20)
| ~ midp(sK23,sK24,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47531,c_46222]) ).
tcf(c_47628,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK24,sK21,sK23) ),
inference(superposition,[status(thm)],[c_8621,c_8697]) ).
tcf(c_50022,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_42899,c_52]) ).
tcf(c_50213,plain,
cong(sK21,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_43092,c_72]) ).
tcf(c_50852,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_50022,c_115]) ).
tcf(c_50869,plain,
( cong(sK20,sK22,sK22,sK20)
| ~ midp(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_50213,c_42240]) ).
tcf(c_52625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK23,sK20,X2,X3)
| ~ para(sK23,sK20,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_52626,plain,
( perp(sK23,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ para(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_52625]) ).
tcf(c_52911,plain,
( coll(sK20,sK30,sK20)
| cyclic(sK20,sK26,sK30,sK20)
| ~ perp(sK23,sK20,sK20,sK20) ),
inference(resolution,[status(thm)],[c_62,c_17389]) ).
tcf(c_54359,plain,
! [X0: $i,X1: $i] :
( midp(sK22,X0,X1)
| ~ coll(sK22,X0,X1)
| ~ cong(sK22,X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_54360,plain,
( midp(sK22,sK20,sK20)
| ~ coll(sK22,sK20,sK20)
| ~ cong(sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_54359]) ).
tcf(c_54425,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_54426,plain,
( midp(sK26,sK20,sK20)
| ~ coll(sK26,sK20,sK20)
| ~ cong(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_54425]) ).
tcf(c_54428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK26,X3,X2)
| ~ coll(sK26,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK26,X1,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_54429,plain,
( midp(sK26,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK26,sK20,sK20)
| ~ para(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_54428]) ).
tcf(c_55986,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,sK21,sK28,X1)
| ~ cyclic(X0,sK20,sK21,sK28)
| ~ cyclic(X0,sK20,sK21,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_55987,plain,
( cyclic(sK20,sK21,sK28,sK20)
| ~ cyclic(sK20,sK20,sK21,sK28)
| ~ cyclic(sK20,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_55986]) ).
tcf(c_56938,plain,
! [X0: $i,X1: $i] :
( cong(sK22,X1,X0,sK22)
| ~ cong(X0,sK22,sK22,X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_56939,plain,
( cong(sK22,sK20,sK20,sK22)
| ~ cong(sK20,sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_56938]) ).
tcf(c_61412,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK23,sK20,X2,X1)
| ~ midp(sK23,X0,X2)
| ~ midp(sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_61413,plain,
( para(sK23,sK20,sK20,sK20)
| ~ midp(sK23,sK20,sK20)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_61412]) ).
tcf(c_63744,plain,
perp(sK24,sK20,sK20,sK20),
inference(global_subsumption_just,[status(thm)],[c_47532,c_164,c_178,c_181,c_187,c_236,c_6674,c_7101,c_7365,c_7634,c_8007,c_12232,c_12545,c_12664,c_14986,c_21816,c_23718,c_28757,c_30100,c_32663]) ).
tcf(c_63757,plain,
para(sK21,sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_63744,c_42619]) ).
tcf(c_63837,plain,
! [X0: $i] :
( midp(sK23,X0,sK20)
| ~ midp(sK21,X0,sK20)
| ~ coll(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_63757,c_94]) ).
tcf(c_63843,plain,
( midp(sK23,sK20,sK20)
| ~ midp(sK21,sK20,sK20)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_63837]) ).
tcf(c_64193,plain,
cong(sK20,sK21,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_47628,c_164,c_178,c_181,c_236,c_6674,c_7101,c_7365,c_7634,c_8007,c_12545,c_14986,c_28757,c_32663]) ).
tcf(c_64204,plain,
cong(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_64193,c_71]) ).
tcf(c_64602,plain,
cong(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_64204,c_72]) ).
tcf(c_64642,plain,
cong(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_64602,c_71]) ).
tcf(c_64814,plain,
( midp(sK21,sK20,sK20)
| ~ coll(sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_64642,c_116]) ).
tcf(c_64840,plain,
midp(sK21,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_64814,c_50852]) ).
tcf(c_64939,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK20,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_64840,c_93]) ).
tcf(c_64973,plain,
( para(sK21,sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_64939]) ).
tcf(c_76556,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK26,X0,X1)
| ~ cong(sK20,X1,sK26,X1)
| ~ cong(sK20,X0,sK26,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_76557,plain,
( perp(sK20,sK26,sK20,sK20)
| ~ cong(sK20,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_76556]) ).
tcf(c_76613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(sK20,sK26,X0,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(sK20,sK26,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_78009,plain,
! [X0: $i,X1: $i] :
( cong(sK20,X1,sK26,X1)
| ~ midp(X1,sK20,X0)
| ~ perp(sK20,sK26,sK26,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_78010,plain,
( cong(sK20,sK20,sK26,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK20,sK26,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_78009]) ).
tcf(c_78401,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,X2,X0,sK22)
| ~ para(X0,sK22,X1,X2) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_78402,plain,
( para(sK20,sK20,sK20,sK22)
| ~ para(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_78401]) ).
tcf(c_78518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,sK26,X2,X3)
| ~ perp(sK20,sK26,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_78519,plain,
( para(sK20,sK26,sK20,sK20)
| ~ perp(sK20,sK26,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_78518]) ).
tcf(c_78595,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK22,X2,sK20)
| ~ midp(sK22,X1,sK20)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_78596,plain,
( para(sK20,sK22,sK20,sK20)
| ~ midp(sK22,sK20,sK20)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_78595]) ).
tcf(c_78842,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK26,sK26,X0)
| ~ perp(X1,sK20,X1,X0)
| ~ eqangle(sK20,sK26,sK26,X0,X1,sK20,X1,X0) ),
inference(instantiation,[status(thm)],[c_76613]) ).
tcf(c_78843,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK26,sK26,X0,X1,sK20,X1,X0)
| ~ cyclic(sK20,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_8914]) ).
tcf(c_78844,plain,
( perp(sK20,sK26,sK26,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK26,sK26,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_78842]) ).
tcf(c_78845,plain,
( eqangle(sK20,sK26,sK26,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_78843]) ).
tcf(c_79172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(sK28,sK21,X0,X1)
| ~ para(X2,X3,X4,X5)
| ~ eqangle(sK28,sK21,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_79318,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK22,sK22,sK26,X0,X1,X0,X1)
| ~ para(sK21,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_9111]) ).
tcf(c_79319,plain,
( eqangle(sK21,sK22,sK22,sK26,sK20,sK20,sK20,sK20)
| ~ para(sK21,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_79318]) ).
tcf(c_82573,plain,
! [X0: $i] :
( cyclic(X0,sK20,sK21,sK28)
| ~ coll(sK21,sK28,sK20)
| ~ eqangle(sK21,X0,sK21,sK20,sK28,X0,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_82575,plain,
( cyclic(sK20,sK20,sK21,sK28)
| ~ coll(sK21,sK28,sK20)
| ~ eqangle(sK21,sK20,sK21,sK20,sK28,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_82573]) ).
tcf(c_83156,plain,
( para(sK21,sK22,sK22,sK26)
| ~ coll(sK23,sK20,sK22)
| ~ perp(sK20,sK21,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_8626]) ).
tcf(c_83658,plain,
! [X0: $i] :
( cong(sK26,X0,sK26,X0)
| ~ midp(X0,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_9235]) ).
tcf(c_83659,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_83658]) ).
tcf(c_83761,plain,
! [X0: $i,X1: $i] :
( eqangle(sK28,sK21,sK28,sK20,X0,X1,X0,X1)
| ~ para(sK28,sK21,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_9111]) ).
tcf(c_83762,plain,
( eqangle(sK28,sK21,sK28,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK28,sK21,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_83761]) ).
tcf(c_83766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK28,sK20,sK28,sK21)
| ~ eqangle(sK28,sK20,sK28,sK21,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_83767,plain,
( eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK21)
| ~ eqangle(sK28,sK20,sK28,sK21,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_83766]) ).
tcf(c_84396,plain,
! [X0: $i] :
( eqangle(sK28,sK21,sK28,sK20,X0,sK21,X0,sK20)
| ~ cyclic(sK20,sK21,sK28,X0) ),
inference(instantiation,[status(thm)],[c_8931]) ).
tcf(c_84398,plain,
( eqangle(sK28,sK21,sK28,sK20,sK20,sK21,sK20,sK20)
| ~ cyclic(sK20,sK21,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_84396]) ).
tcf(c_85083,plain,
! [X0: $i,X1: $i] :
( para(sK28,sK21,sK28,X0)
| ~ para(X1,sK21,X1,X0)
| ~ eqangle(sK28,sK21,sK28,X0,X1,sK21,X1,X0) ),
inference(instantiation,[status(thm)],[c_79172]) ).
tcf(c_85085,plain,
( para(sK28,sK21,sK28,sK20)
| ~ para(sK20,sK21,sK20,sK20)
| ~ eqangle(sK28,sK21,sK28,sK20,sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_85083]) ).
tcf(c_88389,plain,
( perp(sK20,sK21,sK22,sK26)
| ~ midp(sK22,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ cong(sK20,sK26,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_9265]) ).
tcf(c_90357,plain,
! [X0: $i] :
( cong(sK20,sK26,sK21,sK26)
| ~ midp(sK26,sK20,X0)
| ~ perp(sK20,sK21,sK21,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_90358,plain,
( cong(sK20,sK26,sK21,sK26)
| ~ midp(sK26,sK20,sK20)
| ~ perp(sK20,sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_90357]) ).
tcf(c_97381,plain,
( eqangle(sK21,sK20,sK21,sK20,sK28,sK20,sK28,sK20)
| ~ para(sK21,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_9111]) ).
tcf(c_122504,plain,
~ coll(sK23,sK20,sK30),
inference(global_subsumption_just,[status(thm)],[c_43857,c_164,c_162,c_178,c_181,c_236,c_6674,c_7060,c_7069,c_7073,c_7101,c_7315,c_7365,c_7445,c_7536,c_7563,c_7567,c_7573,c_7631,c_7634,c_8007,c_8055,c_8177,c_8420,c_9083,c_9085,c_9087,c_9176,c_9406,c_9942,c_9951,c_11774,c_11854,c_12545,c_14986,c_16058,c_18716,c_21192,c_21291,c_22029,c_22111,c_22605,c_28758,c_29077,c_32297,c_33285,c_38475,c_39453,c_42901,c_43072,c_43089,c_43862,c_44887,c_50022,c_50869,c_54360,c_54426,c_55987,c_56939,c_64973,c_78402,c_78596,c_79319,c_82575,c_83156,c_83659,c_83762,c_83767,c_84398,c_85085,c_88389,c_90358,c_97381]) ).
tcf(c_124299,plain,
( perp(sK23,sK20,sK20,sK20)
| ~ cyclic(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_43395]) ).
tcf(c_124350,plain,
perp(sK23,sK20,sK20,sK20),
inference(global_subsumption_just,[status(thm)],[c_124299,c_164,c_178,c_181,c_187,c_236,c_2202,c_6674,c_6840,c_7101,c_7365,c_7634,c_7792,c_8007,c_12392,c_12545,c_14986,c_17695,c_52626,c_61413,c_63843,c_64840]) ).
tcf(c_124359,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK20,sK20,X0,X1,sK20,X1,X0)
| ~ circle(sK23,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_124350,c_97]) ).
tcf(c_124633,plain,
! [X0: $i,X1: $i] :
( coll(sK20,X1,sK20)
| cyclic(sK20,X0,sK20,X1)
| ~ circle(sK23,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_124359,c_90]) ).
tcf(c_129187,plain,
( coll(sK20,sK30,sK20)
| cyclic(sK20,sK26,sK20,sK30) ),
inference(superposition,[status(thm)],[c_168,c_124633]) ).
tcf(c_129275,plain,
cyclic(sK20,sK26,sK20,sK30),
inference(global_subsumption_just,[status(thm)],[c_129187,c_164,c_178,c_181,c_187,c_236,c_2202,c_6674,c_6840,c_7101,c_7365,c_7634,c_7792,c_8007,c_9067,c_12392,c_12545,c_14986,c_17389,c_17695,c_19129,c_21125,c_28692,c_52626,c_61413,c_63843,c_64840,c_122504]) ).
tcf(c_129279,plain,
cyclic(sK26,sK20,sK20,sK30),
inference(superposition,[status(thm)],[c_129275,c_64]) ).
tcf(c_129280,plain,
cyclic(sK20,sK20,sK26,sK30),
inference(superposition,[status(thm)],[c_129275,c_63]) ).
tcf(c_129281,plain,
cyclic(sK20,sK26,sK30,sK20),
inference(superposition,[status(thm)],[c_129275,c_62]) ).
tcf(c_129499,plain,
cyclic(sK26,sK20,sK30,sK20),
inference(superposition,[status(thm)],[c_129279,c_62]) ).
tcf(c_129518,plain,
cyclic(sK20,sK20,sK30,sK26),
inference(superposition,[status(thm)],[c_129280,c_62]) ).
tcf(c_129520,plain,
! [X0: $i] :
( cyclic(sK26,sK30,sK20,X0)
| ~ cyclic(sK20,sK26,sK30,X0) ),
inference(superposition,[status(thm)],[c_129281,c_65]) ).
tcf(c_129524,plain,
( cyclic(sK26,sK30,sK20,sK20)
| ~ cyclic(sK20,sK26,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_129520]) ).
tcf(c_129875,plain,
cyclic(sK26,sK30,sK20,sK20),
inference(superposition,[status(thm)],[c_129499,c_63]) ).
tcf(c_129881,plain,
cyclic(sK20,sK30,sK20,sK26),
inference(superposition,[status(thm)],[c_129518,c_63]) ).
tcf(c_130177,plain,
! [X0: $i] :
( cyclic(sK30,sK20,sK20,X0)
| ~ cyclic(sK26,sK30,sK20,X0) ),
inference(superposition,[status(thm)],[c_129875,c_65]) ).
tcf(c_130181,plain,
( cyclic(sK30,sK20,sK20,sK20)
| ~ cyclic(sK26,sK30,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_130177]) ).
tcf(c_130184,plain,
cyclic(sK30,sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_129881,c_64]) ).
tcf(c_132010,plain,
! [X0: $i] :
( cyclic(sK20,sK20,sK26,X0)
| ~ cyclic(sK30,sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_130184,c_65]) ).
tcf(c_132014,plain,
( cyclic(sK20,sK20,sK26,sK20)
| ~ cyclic(sK30,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_132010]) ).
tcf(c_132015,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_132014,c_130181,c_129524,c_122504,c_97381,c_90358,c_88389,c_85085,c_84398,c_83767,c_83762,c_83156,c_82575,c_79319,c_78845,c_78844,c_78596,c_78519,c_78402,c_78010,c_76557,c_64973,c_64840,c_63843,c_61413,c_56939,c_55987,c_54429,c_54360,c_52911,c_52626,c_50869,c_50022,c_44887,c_43862,c_43089,c_43072,c_42901,c_39453,c_38475,c_33285,c_32297,c_28758,c_28692,c_22605,c_22111,c_22029,c_21291,c_21192,c_21125,c_19129,c_18716,c_17695,c_16058,c_14986,c_12545,c_12392,c_11854,c_11774,c_9951,c_9942,c_9176,c_9087,c_9085,c_9083,c_9067,c_8420,c_8177,c_8055,c_8007,c_7792,c_7634,c_7631,c_7573,c_7567,c_7563,c_7536,c_7445,c_7365,c_7315,c_7101,c_7073,c_7069,c_7060,c_6840,c_6674,c_2202,c_236,c_187,c_181,c_178,c_162,c_164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO562+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 12:19:59 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 85.47/14.86 % SZS status Started for theBenchmark.p
% 85.47/14.86 % SZS status Theorem for theBenchmark.p
% 85.47/14.86
% 85.47/14.86 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 85.47/14.86
% 85.47/14.86 % ------ iProver source info
% 85.47/14.86
% 85.47/14.86 % git: date: 2026-07-19 20:42:38 +0200
% 85.47/14.86 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 85.47/14.86 % git: non_committed_changes: false
% 85.47/14.86
% 85.47/14.86 % ------ Parsing...
% 85.47/14.86 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 85.47/14.86
% 85.47/14.86 % ------ 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 %
% 85.47/14.86
% 85.47/14.86 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 85.47/14.86
% 85.47/14.86 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 85.47/14.86 % ------ Proving...
% 85.47/14.86 % ------ Problem Properties
% 85.47/14.86
% 85.47/14.86 %
% 85.47/14.86 % clauses 123
% 85.47/14.86 % conjectures 11
% 85.47/14.86 % EPR 86
% 85.47/14.86 % Horn 113
% 85.47/14.86 % unary 11
% 85.47/14.86 % binary 37
% 85.47/14.86 % lits 339
% 85.47/14.86 % lits eq 4
% 85.47/14.86 % fd_pure 0
% 85.47/14.86 % fd_pseudo 0
% 85.47/14.86 % fd_cond 0
% 85.47/14.86 % fd_pseudo_cond 4
% 85.47/14.86 % AC symbols 0
% 85.47/14.86
% 85.47/14.86 % ------ Input Options Time Limit: Unbounded
% 85.47/14.86
% 85.47/14.86
% 85.47/14.86 % ------
% 85.47/14.86 % Current options:
% 85.47/14.86 % ------
% 85.47/14.86
% 85.47/14.86
% 85.47/14.86 %
% 85.47/14.86
% 85.47/14.86 % ------ Proving...
% 85.47/14.86 %
% 85.47/14.86
% 85.47/14.86 % SZS status Theorem for theBenchmark.p
% 85.47/14.86
% 85.47/14.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 85.47/14.88
% 85.47/14.88
%------------------------------------------------------------------------------