%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO619+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 : n012.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 01:21:39 PM UTC 2026
% Result : Theorem 56.96s 8.61s
% Output : CNFRefutation 56.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 47
% Syntax : Number of formulae : 624 ( 158 unt; 0 def)
% Number of atoms : 1416 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1465 ( 673 ~; 661 |; 83 &)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 1386 ( 0 sgn1362 !; 24 ?; 520 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(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(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(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(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(f58,axiom,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X5,X4,X7,X11)
& coll(X7,X2,X3)
& circle(X5,X4,X6,X10)
& coll(X6,X2,X4)
& circle(X5,X4,X8,X9)
& midp(X5,X3,X4)
& coll(X4,X0,X1)
& eqangle(X4,X2,X2,X0,X0,X2,X2,X3)
& coll(X3,X0,X1)
& cong(X0,X2,X1,X2)
& perp(X2,X0,X2,X1) )
=> cong(X3,X6,X3,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110981) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X5,X4,X7,X11)
& coll(X7,X2,X3)
& circle(X5,X4,X6,X10)
& coll(X6,X2,X4)
& circle(X5,X4,X8,X9)
& midp(X5,X3,X4)
& coll(X4,X0,X1)
& eqangle(X4,X2,X2,X0,X0,X2,X2,X3)
& coll(X3,X0,X1)
& cong(X0,X2,X1,X2)
& perp(X2,X0,X2,X1) )
=> cong(X3,X6,X3,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(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(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(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(f172,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(flattening,[],[f182]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( circle(X5,X4,X7,X11)
& coll(X7,X2,X3)
& circle(X5,X4,X6,X10)
& coll(X6,X2,X4)
& circle(X5,X4,X8,X9)
& midp(X5,X3,X4)
& coll(X4,X0,X1)
& eqangle(X4,X2,X2,X0,X0,X2,X2,X3)
& coll(X3,X0,X1)
& cong(X0,X2,X1,X2)
& perp(X2,X0,X2,X1)
& ~ cong(X3,X6,X3,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( circle(X5,X4,X7,X11)
& coll(X7,X2,X3)
& circle(X5,X4,X6,X10)
& coll(X6,X2,X4)
& circle(X5,X4,X8,X9)
& midp(X5,X3,X4)
& coll(X4,X0,X1)
& eqangle(X4,X2,X2,X0,X0,X2,X2,X3)
& coll(X3,X0,X1)
& cong(X0,X2,X1,X2)
& perp(X2,X0,X2,X1)
& ~ cong(X3,X6,X3,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( circle(sK25,sK24,sK27,sK31)
& coll(sK27,sK22,sK23)
& circle(sK25,sK24,sK26,sK30)
& coll(sK26,sK22,sK24)
& circle(sK25,sK24,sK28,sK29)
& midp(sK25,sK23,sK24)
& coll(sK24,sK20,sK21)
& eqangle(sK24,sK22,sK22,sK20,sK20,sK22,sK22,sK23)
& coll(sK23,sK20,sK21)
& cong(sK20,sK22,sK21,sK22)
& perp(sK22,sK20,sK22,sK21)
& ~ cong(sK23,sK26,sK23,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31]),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),skolemize(X11,sK31)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f116]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(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(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(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(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(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(f385,plain,
coll(sK27,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
coll(sK26,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
midp(sK25,sK23,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
eqangle(sK24,sK22,sK22,sK20,sK20,sK22,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
coll(sK23,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
cong(sK20,sK22,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
~ cong(sK23,sK26,sK23,sK27),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_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_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_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_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X0,X3)
| ~ cyclic(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_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_162,negated_conjecture,
~ cong(sK23,sK26,sK23,sK27),
inference(cnf_transformation,[],[f395]) ).
tcf(c_163,negated_conjecture,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f394]) ).
tcf(c_164,negated_conjecture,
cong(sK20,sK22,sK21,sK22),
inference(cnf_transformation,[],[f393]) ).
tcf(c_165,negated_conjecture,
coll(sK23,sK20,sK21),
inference(cnf_transformation,[],[f392]) ).
tcf(c_166,negated_conjecture,
eqangle(sK24,sK22,sK22,sK20,sK20,sK22,sK22,sK23),
inference(cnf_transformation,[],[f391]) ).
tcf(c_167,negated_conjecture,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f390]) ).
tcf(c_168,negated_conjecture,
midp(sK25,sK23,sK24),
inference(cnf_transformation,[],[f389]) ).
tcf(c_170,negated_conjecture,
coll(sK26,sK22,sK24),
inference(cnf_transformation,[],[f387]) ).
tcf(c_172,negated_conjecture,
coll(sK27,sK22,sK23),
inference(cnf_transformation,[],[f385]) ).
tcf(c_179,plain,
( midp(sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_183,plain,
( eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_188,plain,
( perp(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_204,plain,
( cyclic(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_237,plain,
( cong(sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK22,sK22)
| ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_5120,negated_conjecture,
coll(sK27,sK22,sK23),
inference(demodulation,[status(thm)],[c_172]) ).
tcf(c_5122,negated_conjecture,
coll(sK26,sK22,sK24),
inference(demodulation,[status(thm)],[c_170]) ).
tcf(c_5124,negated_conjecture,
midp(sK25,sK23,sK24),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_5125,negated_conjecture,
coll(sK24,sK20,sK21),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_5126,negated_conjecture,
eqangle(sK24,sK22,sK22,sK20,sK20,sK22,sK22,sK23),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_5127,negated_conjecture,
coll(sK23,sK20,sK21),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_5128,negated_conjecture,
cong(sK20,sK22,sK21,sK22),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_5129,negated_conjecture,
perp(sK22,sK20,sK22,sK21),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_5130,negated_conjecture,
~ cong(sK23,sK26,sK23,sK27),
inference(demodulation,[status(thm)],[c_162]) ).
tcf(c_6702,plain,
coll(sK26,sK24,sK22),
inference(superposition,[status(thm)],[c_5122,c_49]) ).
tcf(c_6703,plain,
coll(sK27,sK23,sK22),
inference(superposition,[status(thm)],[c_5120,c_49]) ).
tcf(c_6711,plain,
coll(sK22,sK27,sK23),
inference(superposition,[status(thm)],[c_5120,c_50]) ).
tcf(c_6716,plain,
coll(sK24,sK26,sK22),
inference(superposition,[status(thm)],[c_6702,c_50]) ).
tcf(c_6718,plain,
coll(sK23,sK27,sK22),
inference(superposition,[status(thm)],[c_6703,c_50]) ).
tcf(c_6735,plain,
coll(sK23,sK22,sK27),
inference(superposition,[status(thm)],[c_6718,c_49]) ).
tcf(c_6740,plain,
midp(sK25,sK24,sK23),
inference(superposition,[status(thm)],[c_5124,c_59]) ).
tcf(c_6745,plain,
coll(sK25,sK23,sK24),
inference(superposition,[status(thm)],[c_5124,c_118]) ).
tcf(c_6754,plain,
~ midp(sK23,sK26,sK27),
inference(superposition,[status(thm)],[c_117,c_5130]) ).
tcf(c_6765,plain,
coll(sK23,sK25,sK24),
inference(superposition,[status(thm)],[c_6745,c_50]) ).
tcf(c_6791,plain,
perp(sK22,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_5129,c_55]) ).
tcf(c_6796,plain,
perp(sK22,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_5129,c_56]) ).
tcf(c_6803,plain,
perp(sK21,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6791,c_56]) ).
tcf(c_6806,plain,
perp(sK22,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_6796,c_55]) ).
tcf(c_6809,plain,
perp(sK20,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_6806,c_56]) ).
tcf(c_6831,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK20,X0) ),
inference(superposition,[status(thm)],[c_5127,c_51]) ).
tcf(c_6832,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_5125,c_51]) ).
tcf(c_6833,plain,
! [X0: $i] :
( coll(sK24,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_5122,c_51]) ).
tcf(c_6834,plain,
! [X0: $i] :
( coll(sK23,X0,sK27)
| ~ coll(sK27,sK22,X0) ),
inference(superposition,[status(thm)],[c_5120,c_51]) ).
tcf(c_6837,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK24,X0) ),
inference(superposition,[status(thm)],[c_6702,c_51]) ).
tcf(c_6838,plain,
! [X0: $i] :
( coll(sK22,X0,sK27)
| ~ coll(sK27,sK23,X0) ),
inference(superposition,[status(thm)],[c_6703,c_51]) ).
tcf(c_6842,plain,
! [X0: $i] :
( coll(sK23,X0,sK22)
| ~ coll(sK22,sK27,X0) ),
inference(superposition,[status(thm)],[c_6711,c_51]) ).
tcf(c_6845,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK26,X0) ),
inference(superposition,[status(thm)],[c_6716,c_51]) ).
tcf(c_6846,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK27,X0) ),
inference(superposition,[status(thm)],[c_6718,c_51]) ).
tcf(c_6854,plain,
! [X0: $i] :
( coll(sK27,X0,sK23)
| ~ coll(sK23,sK22,X0) ),
inference(superposition,[status(thm)],[c_6735,c_51]) ).
tcf(c_6855,plain,
! [X0: $i] :
( coll(sK24,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_6745,c_51]) ).
tcf(c_6857,plain,
! [X0: $i] :
( coll(sK24,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_6765,c_51]) ).
tcf(c_6941,plain,
( coll(sK22,sK22,sK27)
| ~ coll(sK27,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_6838]) ).
tcf(c_6942,plain,
( coll(sK22,sK22,sK26)
| ~ coll(sK26,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_6837]) ).
tcf(c_6956,plain,
cong(sK20,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_5128,c_71]) ).
tcf(c_6964,plain,
cong(sK21,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_5128,c_72]) ).
tcf(c_6974,plain,
cong(sK21,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6964,c_71]) ).
tcf(c_6983,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_5127,c_6831]) ).
tcf(c_6984,plain,
! [X0: $i] :
( coll(sK23,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6983,c_51]) ).
tcf(c_6986,plain,
coll(sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_6983,c_49]) ).
tcf(c_6994,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_5125,c_6832]) ).
tcf(c_6995,plain,
! [X0: $i] :
( coll(sK24,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6994,c_51]) ).
tcf(c_7005,plain,
coll(sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_5122,c_6833]) ).
tcf(c_7006,plain,
! [X0: $i] :
( coll(sK26,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_7005,c_51]) ).
tcf(c_7015,plain,
coll(sK23,sK23,sK27),
inference(superposition,[status(thm)],[c_5120,c_6834]) ).
tcf(c_7016,plain,
! [X0: $i] :
( coll(sK27,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_7015,c_51]) ).
tcf(c_7018,plain,
coll(sK23,sK27,sK23),
inference(superposition,[status(thm)],[c_7015,c_49]) ).
tcf(c_7042,plain,
! [X0: $i] :
( coll(sK21,X0,sK21)
| ~ coll(sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_6986,c_51]) ).
tcf(c_7061,plain,
coll(sK27,sK23,sK23),
inference(superposition,[status(thm)],[c_7018,c_50]) ).
tcf(c_7087,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_6702,c_6837]) ).
tcf(c_7090,plain,
coll(sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_7087,c_49]) ).
tcf(c_7098,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_6703,c_6838]) ).
tcf(c_7099,plain,
! [X0: $i] :
( coll(sK27,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_7098,c_51]) ).
tcf(c_7101,plain,
coll(sK22,sK27,sK22),
inference(superposition,[status(thm)],[c_7098,c_49]) ).
tcf(c_7198,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_6745,c_6855]) ).
tcf(c_7210,plain,
coll(sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_6983,c_6984]) ).
tcf(c_7236,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK24,X1)
| ~ midp(X0,sK23,X1) ),
inference(superposition,[status(thm)],[c_5124,c_93]) ).
tcf(c_7237,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK23,X1)
| ~ midp(X0,sK24,X1) ),
inference(superposition,[status(thm)],[c_6740,c_93]) ).
tcf(c_7260,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK24,X1)
| ~ midp(sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_5124,c_112]) ).
tcf(c_7287,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK26,X0) ),
inference(superposition,[status(thm)],[c_7090,c_51]) ).
tcf(c_7293,plain,
( coll(sK22,sK22,sK22)
| ~ coll(sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_7287]) ).
tcf(c_7299,plain,
coll(sK23,sK22,sK22),
inference(superposition,[status(thm)],[c_7101,c_6842]) ).
tcf(c_7306,plain,
( midp(sK27,sK22,sK23)
| ~ coll(sK27,sK22,sK23)
| ~ cong(sK27,sK22,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_7355,plain,
coll(sK24,sK24,sK21),
inference(superposition,[status(thm)],[c_6994,c_6995]) ).
tcf(c_7371,plain,
coll(sK26,sK25,sK24),
inference(superposition,[status(thm)],[c_7198,c_7006]) ).
tcf(c_7372,plain,
coll(sK26,sK21,sK24),
inference(superposition,[status(thm)],[c_7355,c_7006]) ).
tcf(c_7387,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK20,X0,X1)
| ~ perp(sK22,sK20,sK22,sK21)
| ~ perp(sK22,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_7388,plain,
( para(sK22,sK20,sK22,sK22)
| ~ perp(sK22,sK21,sK22,sK22)
| ~ perp(sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_7387]) ).
tcf(c_7414,plain,
! [X0: $i] :
( cong(sK21,X0,sK22,X0)
| ~ midp(X0,sK21,sK20) ),
inference(superposition,[status(thm)],[c_6803,c_101]) ).
tcf(c_7428,plain,
! [X0: $i] :
( perp(sK20,sK21,sK22,X0)
| ~ cong(sK20,sK22,sK21,sK22)
| ~ cong(sK20,X0,sK21,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_7429,plain,
( perp(sK20,sK21,sK22,sK22)
| ~ cong(sK20,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_7428]) ).
tcf(c_7514,plain,
! [X0: $i,X1: $i] :
( midp(sK25,X0,X1)
| ~ midp(sK25,sK23,sK24)
| ~ para(sK23,X1,sK24,X0)
| ~ para(sK23,X0,sK24,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_7515,plain,
( midp(sK25,sK22,sK22)
| ~ midp(sK25,sK23,sK24)
| ~ para(sK23,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_7514]) ).
tcf(c_7541,plain,
coll(sK27,sK21,sK23),
inference(superposition,[status(thm)],[c_7210,c_7016]) ).
tcf(c_7610,plain,
( cong(sK21,sK22,sK21,sK20)
| ~ midp(sK22,sK22,sK20) ),
inference(superposition,[status(thm)],[c_6803,c_104]) ).
tcf(c_7706,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK20,X0,X1)
| ~ perp(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_5129,c_57]) ).
tcf(c_7711,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK21,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_6796,c_57]) ).
tcf(c_7713,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK21,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6806,c_57]) ).
tcf(c_7854,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_6796,c_7706]) ).
tcf(c_7855,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_6806,c_7706]) ).
tcf(c_7862,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_7854,c_115]) ).
tcf(c_7873,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_7855,c_53]) ).
tcf(c_8016,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK22,X0,X1)
| ~ cong(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_5128,c_73]) ).
tcf(c_8017,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK22,X0,X1)
| ~ cong(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_6956,c_73]) ).
tcf(c_8018,plain,
! [X0: $i,X1: $i] :
( cong(sK21,sK22,X0,X1)
| ~ cong(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6964,c_73]) ).
tcf(c_8041,plain,
( cong(sK20,sK22,sK22,sK22)
| ~ cong(sK22,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_8017]) ).
tcf(c_8059,plain,
! [X0: $i] :
( perp(sK20,sK21,sK22,X0)
| ~ cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_5128,c_105]) ).
tcf(c_8106,plain,
cong(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_6964,c_8016]) ).
tcf(c_8107,plain,
cong(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6974,c_8016]) ).
tcf(c_8122,plain,
perp(sK20,sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_5128,c_8059]) ).
tcf(c_8125,plain,
perp(sK22,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_8122,c_56]) ).
tcf(c_8130,plain,
! [X0: $i] :
( circle(sK20,sK22,X0,sK22)
| ~ cong(sK20,sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_8106,c_60]) ).
tcf(c_8131,plain,
( midp(sK20,sK22,sK22)
| ~ coll(sK20,sK22,sK22) ),
inference(superposition,[status(thm)],[c_8106,c_116]) ).
tcf(c_8143,plain,
( circle(sK20,sK22,sK22,sK22)
| ~ cong(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8130]) ).
tcf(c_8153,plain,
cong(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_8107,c_72]) ).
tcf(c_8158,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK22,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_8125,c_57]) ).
tcf(c_8166,plain,
( para(sK22,sK22,sK22,sK22)
| ~ perp(sK20,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_8158]) ).
tcf(c_8261,plain,
eqangle(sK22,sK24,sK22,sK20,sK20,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_5126,c_66]) ).
tcf(c_8288,plain,
coll(sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_7299,c_50]) ).
tcf(c_8304,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK23,X1)
| ~ midp(X0,X1,sK23) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_8395,plain,
( cong(sK22,sK22,sK22,sK21)
| ~ midp(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_8432,plain,
eqangle(sK20,sK22,sK22,sK23,sK24,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_5126,c_68]) ).
tcf(c_8433,plain,
eqangle(sK20,sK22,sK22,sK23,sK22,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_8261,c_68]) ).
tcf(c_8510,plain,
coll(sK26,sK24,sK25),
inference(superposition,[status(thm)],[c_7371,c_49]) ).
tcf(c_8529,plain,
coll(sK26,sK24,sK21),
inference(superposition,[status(thm)],[c_7372,c_49]) ).
tcf(c_8539,plain,
eqangle(sK20,sK22,sK24,sK22,sK22,sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_8432,c_69]) ).
tcf(c_8574,plain,
eqangle(sK22,sK20,sK24,sK22,sK22,sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_8539,c_66]) ).
tcf(c_8679,plain,
coll(sK27,sK23,sK21),
inference(superposition,[status(thm)],[c_7541,c_49]) ).
tcf(c_8804,plain,
para(sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_5129,c_7711]) ).
tcf(c_8805,plain,
para(sK22,sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_6791,c_7711]) ).
tcf(c_8812,plain,
coll(sK22,sK21,sK21),
inference(superposition,[status(thm)],[c_8804,c_115]) ).
tcf(c_8815,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_8812,c_51]) ).
tcf(c_8816,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_8812,c_50]) ).
tcf(c_9081,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK25,X1,sK24)
| ~ midp(X0,sK23,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7236,c_94]) ).
tcf(c_9082,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK25,X1,sK23)
| ~ midp(X0,sK24,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7237,c_94]) ).
tcf(c_9083,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK23,X1,sK24)
| ~ midp(sK25,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7260,c_94]) ).
tcf(c_9091,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK22,X0,sK22)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_8804,c_94]) ).
tcf(c_9204,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_7862,c_51]) ).
tcf(c_9205,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_7862,c_50]) ).
tcf(c_9209,plain,
( coll(sK20,sK22,sK22)
| ~ coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_9204]) ).
tcf(c_9221,plain,
! [X0: $i] :
( midp(sK21,X0,sK22)
| ~ midp(sK22,X0,sK21)
| ~ coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_8805,c_94]) ).
tcf(c_9224,plain,
para(sK21,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_8805,c_53]) ).
tcf(c_9275,plain,
cong(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_5128,c_8018]) ).
tcf(c_9284,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK20,X1)
| ~ para(X0,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_9295,plain,
( coll(sK22,sK20,sK22)
| ~ para(sK22,sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_9284]) ).
tcf(c_9316,plain,
! [X0: $i] :
( circle(sK21,sK22,X0,sK22)
| ~ cong(sK21,sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_9275,c_60]) ).
tcf(c_9317,plain,
( midp(sK21,sK22,sK22)
| ~ coll(sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_9275,c_116]) ).
tcf(c_9321,plain,
! [X0: $i] :
( perp(sK21,sK21,sK22,X0)
| ~ cong(sK21,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_9275,c_105]) ).
tcf(c_9657,plain,
circle(sK21,sK22,sK22,sK22),
inference(superposition,[status(thm)],[c_9275,c_9316]) ).
tcf(c_9756,plain,
( perp(sK22,sK22,sK22,sK22)
| ~ coll(sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_9657,c_102]) ).
tcf(c_9763,plain,
! [X0: $i] :
( perp(sK21,sK21,sK22,X0)
| ~ midp(sK21,X0,X0) ),
inference(superposition,[status(thm)],[c_117,c_9321]) ).
tcf(c_9764,plain,
perp(sK21,sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_9275,c_9321]) ).
tcf(c_9767,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK21,X0,X1)
| ~ perp(sK22,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_9764,c_57]) ).
tcf(c_10030,plain,
! [X0: $i,X1: $i] :
( perp(X1,X0,X0,sK23)
| ~ perp(X0,sK23,X1,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_10031,plain,
( perp(sK22,sK22,sK22,sK23)
| ~ perp(sK22,sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10030]) ).
tcf(c_10032,plain,
! [X0: $i,X1: $i] :
( perp(X1,X0,X0,sK24)
| ~ perp(X0,sK24,X1,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_10033,plain,
( perp(sK22,sK22,sK22,sK24)
| ~ perp(sK22,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10032]) ).
tcf(c_10218,plain,
( cong(sK27,sK22,sK27,sK23)
| ~ cong(sK27,sK23,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_10340,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK27,X2,sK23)
| ~ midp(sK27,X1,sK23)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_10341,plain,
( para(sK22,sK27,sK22,sK23)
| ~ midp(sK22,sK22,sK22)
| ~ midp(sK27,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_10340]) ).
tcf(c_10369,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK21,sK22,X0,X1,sK22,X1,X0)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6809,c_97]) ).
tcf(c_10386,plain,
( eqangle(sK22,sK21,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ circle(sK20,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10369]) ).
tcf(c_10898,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK23,X1)
| ~ coll(X0,sK23,X1)
| ~ cong(X0,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_10899,plain,
( midp(sK22,sK23,sK22)
| ~ coll(sK22,sK23,sK22)
| ~ cong(sK22,sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10898]) ).
tcf(c_11164,plain,
coll(sK24,sK26,sK25),
inference(superposition,[status(thm)],[c_8510,c_50]) ).
tcf(c_11240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK26,X3,sK24)
| ~ perp(X1,X2,X3,sK24)
| ~ perp(X0,sK26,X1,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_11241,plain,
( para(sK22,sK26,sK22,sK24)
| ~ perp(sK22,sK22,sK22,sK24)
| ~ perp(sK22,sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_11240]) ).
tcf(c_11252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK23,X3,sK20)
| ~ perp(X1,X2,X3,sK20)
| ~ perp(X0,sK23,X1,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_11253,plain,
( para(sK22,sK23,sK22,sK20)
| ~ perp(sK22,sK22,sK22,sK20)
| ~ perp(sK22,sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_11252]) ).
tcf(c_11426,plain,
coll(sK22,sK21,sK26),
inference(superposition,[status(thm)],[c_8529,c_6837]) ).
tcf(c_11666,plain,
coll(sK24,sK24,sK23),
inference(superposition,[status(thm)],[c_6765,c_6857]) ).
tcf(c_11731,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK26)
| ~ cong(X0,sK26,X1,sK26)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_11732,plain,
( perp(sK22,sK22,sK22,sK26)
| ~ cong(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK26,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_11731]) ).
tcf(c_11735,plain,
! [X0: $i,X1: $i] :
( perp(X0,sK23,X0,X1)
| ~ cong(X0,X1,sK23,X1)
| ~ cong(X0,X0,sK23,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_11736,plain,
( perp(sK22,sK23,sK22,sK22)
| ~ cong(sK22,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_11735]) ).
tcf(c_11917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,sK23,X3)
| ~ midp(X0,sK23,X2)
| ~ coll(X1,sK23,X3)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_11947,plain,
coll(sK23,sK27,sK21),
inference(superposition,[status(thm)],[c_8679,c_50]) ).
tcf(c_11949,plain,
coll(sK22,sK21,sK27),
inference(superposition,[status(thm)],[c_8679,c_6838]) ).
tcf(c_11973,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_8816,c_49]) ).
tcf(c_12034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK25,X1,X3)
| ~ midp(sK25,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_12039,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK22,sK23)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK22,X1,sK23)
| ~ para(X0,sK23,X1,sK22) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_12163,plain,
( midp(sK27,sK22,sK23)
| ~ midp(sK25,sK22,sK24)
| ~ midp(sK27,sK23,sK23) ),
inference(superposition,[status(thm)],[c_5120,c_9081]) ).
tcf(c_12199,plain,
( midp(sK22,sK26,sK22)
| ~ midp(sK25,sK26,sK24)
| ~ midp(sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_7090,c_9081]) ).
tcf(c_12776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK23,X3,sK24,X2)
| ~ para(sK23,X3,X0,X1)
| ~ para(X0,X1,sK24,X2) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_12777,plain,
( para(sK23,sK22,sK24,sK22)
| ~ para(sK22,sK22,sK24,sK22)
| ~ para(sK23,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_12776]) ).
tcf(c_12784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK22,X3,sK24,X2)
| ~ para(sK22,X3,X0,X1)
| ~ para(X0,X1,sK24,X2) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_12998,plain,
! [X0: $i,X1: $i] :
( cyclic(sK22,X0,sK22,X1)
| ~ cong(sK21,sK22,sK21,X1)
| ~ cong(sK21,sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_9275,c_61]) ).
tcf(c_13163,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_9205,c_49]) ).
tcf(c_13582,plain,
! [X0: $i] :
( cyclic(sK22,sK22,sK22,X0)
| ~ cong(sK21,sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_9275,c_12998]) ).
tcf(c_14721,plain,
( cong(sK22,sK22,sK22,sK21)
| ~ midp(sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_5129,c_104]) ).
tcf(c_14764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(sK22,sK21,X0,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(sK22,sK21,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_14765,plain,
( perp(sK22,sK21,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK22)
| ~ eqangle(sK22,sK21,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_14764]) ).
tcf(c_14828,plain,
coll(sK21,sK21,sK21),
inference(superposition,[status(thm)],[c_6986,c_7042]) ).
tcf(c_15064,plain,
coll(sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_11164,c_6845]) ).
tcf(c_15248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK24,sK22,sK22,sK20,X0,X1,X2,X3)
| ~ eqangle(sK20,sK22,sK22,sK23,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_5126,c_70]) ).
tcf(c_15251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK20,sK22,sK22,sK23,X0,X1,X2,X3)
| ~ eqangle(sK24,sK22,sK22,sK20,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8432,c_70]) ).
tcf(c_15492,plain,
coll(sK22,sK26,sK21),
inference(superposition,[status(thm)],[c_11426,c_49]) ).
tcf(c_15523,plain,
eqangle(sK24,sK22,sK22,sK20,sK22,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_8433,c_15248]) ).
tcf(c_15562,plain,
eqangle(sK22,sK24,sK22,sK20,sK22,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_15523,c_66]) ).
tcf(c_16029,plain,
( midp(sK22,sK22,sK21)
| ~ midp(sK20,sK22,sK21)
| ~ coll(sK22,sK22,sK21) ),
inference(superposition,[status(thm)],[c_14721,c_116]) ).
tcf(c_16235,plain,
coll(sK26,sK23,sK24),
inference(superposition,[status(thm)],[c_11666,c_7006]) ).
tcf(c_16279,plain,
coll(sK22,sK21,sK23),
inference(superposition,[status(thm)],[c_11947,c_6846]) ).
tcf(c_16311,plain,
coll(sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_11949,c_49]) ).
tcf(c_17088,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_11973,c_51]) ).
tcf(c_17101,plain,
( coll(sK22,sK22,sK21)
| ~ coll(sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_17088]) ).
tcf(c_17196,plain,
eqangle(sK20,sK22,sK22,sK23,sK20,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_5126,c_15251]) ).
tcf(c_17229,plain,
eqangle(sK20,sK22,sK20,sK22,sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_17196,c_69]) ).
tcf(c_17231,plain,
eqangle(sK22,sK23,sK20,sK22,sK22,sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_17196,c_67]) ).
tcf(c_17242,plain,
! [X0: $i,X1: $i] :
( midp(sK23,sK26,sK27)
| ~ coll(sK23,sK26,sK27)
| ~ midp(X0,sK26,X1)
| ~ para(X0,sK23,X1,sK27) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_17243,plain,
( midp(sK23,sK26,sK27)
| ~ midp(sK22,sK26,sK22)
| ~ coll(sK23,sK26,sK27)
| ~ para(sK22,sK23,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_17242]) ).
tcf(c_17274,plain,
eqangle(sK22,sK23,sK22,sK23,sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_17229,c_68]) ).
tcf(c_17305,plain,
eqangle(sK23,sK22,sK20,sK22,sK22,sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_17231,c_66]) ).
tcf(c_17306,plain,
para(sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_17231,c_87]) ).
tcf(c_17684,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_13163,c_51]) ).
tcf(c_17696,plain,
( coll(sK22,sK22,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_17684]) ).
tcf(c_18384,plain,
( midp(sK21,sK21,sK21)
| ~ midp(sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_14828,c_9091]) ).
tcf(c_19117,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK24,sK24)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK24,X1,sK24) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_19150,plain,
coll(sK25,sK22,sK24),
inference(superposition,[status(thm)],[c_15064,c_50]) ).
tcf(c_19795,plain,
coll(sK27,sK26,sK22),
inference(superposition,[status(thm)],[c_7087,c_7099]) ).
tcf(c_19837,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK26,X0) ),
inference(superposition,[status(thm)],[c_15492,c_51]) ).
tcf(c_19849,plain,
( coll(sK21,sK22,sK22)
| ~ coll(sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_19837]) ).
tcf(c_19969,plain,
coll(sK26,sK24,sK23),
inference(superposition,[status(thm)],[c_16235,c_49]) ).
tcf(c_20525,plain,
coll(sK23,sK21,sK22),
inference(superposition,[status(thm)],[c_16311,c_6842]) ).
tcf(c_20664,plain,
coll(sK22,sK23,sK21),
inference(superposition,[status(thm)],[c_16279,c_49]) ).
tcf(c_21382,plain,
( cong(sK27,sK23,sK27,sK22)
| ~ midp(sK27,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_21447,plain,
( midp(sK27,sK26,sK22)
| ~ midp(sK25,sK26,sK24)
| ~ midp(sK27,sK23,sK22) ),
inference(superposition,[status(thm)],[c_19795,c_9081]) ).
tcf(c_21450,plain,
coll(sK27,sK22,sK26),
inference(superposition,[status(thm)],[c_19795,c_49]) ).
tcf(c_21465,plain,
( cong(sK22,sK21,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_21490,plain,
coll(sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_20525,c_50]) ).
tcf(c_22283,plain,
! [X0: $i] :
( midp(sK22,X0,sK20)
| ~ midp(sK20,X0,sK22)
| ~ coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_7873,c_94]) ).
tcf(c_22300,plain,
( midp(sK22,sK22,sK20)
| ~ midp(sK20,sK22,sK22)
| ~ coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_22283]) ).
tcf(c_22303,plain,
cong(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_8153,c_71]) ).
tcf(c_22316,plain,
! [X0: $i] :
( midp(sK22,X0,sK21)
| ~ midp(sK21,X0,sK22)
| ~ coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_9224,c_94]) ).
tcf(c_22333,plain,
( midp(sK22,sK22,sK21)
| ~ midp(sK21,sK22,sK22)
| ~ coll(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_22316]) ).
tcf(c_22813,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK23,sK22,sK23) ),
inference(superposition,[status(thm)],[c_17306,c_113]) ).
tcf(c_22823,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22813,c_17306]) ).
tcf(c_23092,plain,
coll(sK22,sK23,sK26),
inference(superposition,[status(thm)],[c_19969,c_6837]) ).
tcf(c_23126,plain,
coll(sK23,sK22,sK26),
inference(superposition,[status(thm)],[c_23092,c_50]) ).
tcf(c_24200,plain,
coll(sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_15492,c_7287]) ).
tcf(c_24582,plain,
( para(sK22,sK20,sK24,sK22)
| ~ para(sK22,sK23,sK22,sK20) ),
inference(superposition,[status(thm)],[c_8574,c_122]) ).
tcf(c_24697,plain,
midp(sK22,sK22,sK21),
inference(global_subsumption_just,[status(thm)],[c_16029,c_7090,c_9317,c_11973,c_17101,c_19849,c_22333]) ).
tcf(c_24702,plain,
midp(sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_24697,c_59]) ).
tcf(c_24713,plain,
coll(sK23,sK26,sK27),
inference(superposition,[status(thm)],[c_21450,c_6834]) ).
tcf(c_24749,plain,
( midp(sK21,sK23,sK22)
| ~ midp(sK25,sK21,sK22)
| ~ midp(sK23,sK23,sK24) ),
inference(superposition,[status(thm)],[c_21490,c_9083]) ).
tcf(c_25627,plain,
para(sK22,sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_15562,c_87]) ).
tcf(c_25700,plain,
( perp(sK22,sK23,sK22,sK23)
| ~ perp(sK20,sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_17274,c_123]) ).
tcf(c_25736,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK23,sK27,sK22)
| ~ cyclic(X0,X1,sK23,sK22)
| ~ cyclic(X0,X1,sK23,sK27) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_25737,plain,
( cyclic(sK22,sK23,sK27,sK22)
| ~ cyclic(sK22,sK22,sK23,sK22)
| ~ cyclic(sK22,sK22,sK23,sK27) ),
inference(instantiation,[status(thm)],[c_25736]) ).
tcf(c_25747,plain,
para(sK23,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_17305,c_87]) ).
tcf(c_26098,plain,
midp(sK21,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_18384,c_18384,c_24702]) ).
tcf(c_26710,plain,
coll(sK27,sK26,sK23),
inference(superposition,[status(thm)],[c_23126,c_6854]) ).
tcf(c_26862,plain,
( cong(sK20,sK22,sK22,sK22)
| ~ midp(sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7414,c_8016]) ).
tcf(c_26877,plain,
cong(sK20,sK22,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_26862,c_7090,c_8041,c_8395,c_9317,c_11973,c_17101,c_19849,c_21465,c_22333]) ).
tcf(c_26882,plain,
! [X0: $i] :
( perp(sK20,sK22,sK22,X0)
| ~ cong(sK20,X0,sK22,X0) ),
inference(superposition,[status(thm)],[c_26877,c_105]) ).
tcf(c_27463,plain,
cong(sK21,sK22,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_7610,c_164,c_163,c_183,c_188,c_204,c_237,c_7090,c_7293,c_7388,c_7429,c_7610,c_8106,c_8131,c_8143,c_8166,c_9209,c_9295,c_10386,c_13163,c_14765,c_17696,c_22300]) ).
tcf(c_27479,plain,
cyclic(sK22,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_27463,c_13582]) ).
tcf(c_27480,plain,
! [X0: $i] :
( cyclic(sK22,sK20,sK22,X0)
| ~ cong(sK21,sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_27463,c_12998]) ).
tcf(c_27593,plain,
( perp(sK22,sK22,sK22,sK20)
| ~ cong(sK22,sK20,sK22,sK20)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_27479,c_106]) ).
tcf(c_27769,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,X1,sK24)
| ~ para(sK22,X0,sK24,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_27770,plain,
( para(sK22,sK22,sK22,sK24)
| ~ para(sK22,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_27769]) ).
tcf(c_28042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK22,X3,X2,sK23)
| ~ perp(sK22,X3,X0,X1)
| ~ perp(X0,X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_28045,plain,
( para(sK22,sK22,sK22,sK23)
| ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_28042]) ).
tcf(c_28475,plain,
coll(sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_24200,c_8815]) ).
tcf(c_28478,plain,
midp(sK21,sK22,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_9317,c_28475]) ).
tcf(c_29743,plain,
perp(sK22,sK22,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_9756,c_164,c_183,c_188,c_204,c_237,c_7090,c_7293,c_7429,c_8166]) ).
tcf(c_29824,plain,
perp(sK21,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_26098,c_9763]) ).
tcf(c_30388,plain,
( midp(sK27,sK26,sK23)
| ~ midp(sK25,sK26,sK24)
| ~ midp(sK27,sK23,sK23) ),
inference(superposition,[status(thm)],[c_26710,c_9081]) ).
tcf(c_31672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X3,sK24,X2,X3)
| ~ para(X3,sK24,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_31673,plain,
( perp(sK22,sK24,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK22)
| ~ para(sK22,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_31672]) ).
tcf(c_32130,plain,
para(sK21,sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_29743,c_9767]) ).
tcf(c_32601,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK26,X0,X1)
| ~ perp(X0,X1,X1,sK26) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_32602,plain,
( perp(sK22,sK26,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_32601]) ).
tcf(c_33068,plain,
perp(sK20,sK22,sK22,sK22),
inference(superposition,[status(thm)],[c_26877,c_26882]) ).
tcf(c_33080,plain,
para(sK22,sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_33068,c_7713]) ).
tcf(c_33150,plain,
cyclic(sK22,sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_9275,c_27480]) ).
tcf(c_33181,plain,
cyclic(sK20,sK22,sK22,sK22),
inference(superposition,[status(thm)],[c_33150,c_64]) ).
tcf(c_33202,plain,
( perp(sK22,sK20,sK20,sK22)
| ~ cong(sK20,sK22,sK22,sK22) ),
inference(superposition,[status(thm)],[c_33181,c_106]) ).
tcf(c_33209,plain,
perp(sK22,sK20,sK20,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_33202,c_26877]) ).
tcf(c_33345,plain,
! [X0: $i,X1: $i] :
( perp(sK23,sK22,X0,X1)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_25747,c_58]) ).
tcf(c_33360,plain,
( perp(sK23,sK22,sK22,sK22)
| ~ perp(sK22,sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_33345]) ).
tcf(c_33729,plain,
perp(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_33209,c_56]) ).
tcf(c_34143,plain,
perp(sK22,sK21,sK21,sK21),
inference(superposition,[status(thm)],[c_29824,c_56]) ).
tcf(c_34268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK24,X3,sK26)
| ~ perp(X1,X2,X3,sK26)
| ~ perp(X0,sK24,X1,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_34271,plain,
( para(sK22,sK24,sK22,sK26)
| ~ perp(sK22,sK24,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_34268]) ).
tcf(c_34321,plain,
( midp(sK21,sK23,sK22)
| ~ midp(sK22,sK23,sK21) ),
inference(superposition,[status(thm)],[c_21490,c_9221]) ).
tcf(c_34500,plain,
! [X0: $i,X1: $i] :
( para(X1,sK23,X0,sK27)
| ~ para(X0,sK27,X1,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_34501,plain,
( para(sK22,sK23,sK22,sK27)
| ~ para(sK22,sK27,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_34500]) ).
tcf(c_35187,plain,
perp(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_33729,c_55]) ).
tcf(c_35473,plain,
para(sK22,sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_34143,c_7706]) ).
tcf(c_35551,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK20,X0,X1)
| ~ para(sK21,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_35473,c_54]) ).
tcf(c_35573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK23,X3,sK22,X2)
| ~ perp(sK23,X3,X0,X1)
| ~ perp(X0,X1,sK22,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_35576,plain,
( para(sK23,sK22,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK23,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_35573]) ).
tcf(c_35610,plain,
para(sK22,sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_32130,c_35551]) ).
tcf(c_35767,plain,
para(sK22,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_33080,c_53]) ).
tcf(c_36651,plain,
! [X0: $i] :
( cong(X0,sK22,X0,sK23)
| ~ cong(X0,sK22,sK23,X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_36652,plain,
( cong(sK22,sK22,sK22,sK23)
| ~ cong(sK22,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_36651]) ).
tcf(c_38503,plain,
para(sK22,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_35610,c_53]) ).
tcf(c_45989,plain,
( midp(sK25,sK22,sK24)
| ~ midp(sK25,sK24,sK24)
| ~ midp(sK25,sK22,sK23) ),
inference(superposition,[status(thm)],[c_19150,c_9082]) ).
tcf(c_53193,plain,
! [X0: $i] :
( perp(X0,sK23,sK23,sK22)
| ~ perp(X0,sK23,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_53194,plain,
( perp(sK22,sK23,sK23,sK22)
| ~ perp(sK22,sK23,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_53193]) ).
tcf(c_62872,plain,
! [X0: $i,X1: $i] :
( midp(sK25,sK24,sK24)
| ~ midp(sK25,X0,X1)
| ~ para(X0,sK24,X1,sK24) ),
inference(instantiation,[status(thm)],[c_19117]) ).
tcf(c_62873,plain,
( midp(sK25,sK24,sK24)
| ~ midp(sK25,sK22,sK22)
| ~ para(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_62872]) ).
tcf(c_67140,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK23,X0,X1)
| ~ cong(X0,X1,X0,sK23) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_67141,plain,
( cong(sK22,sK23,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_67140]) ).
tcf(c_67469,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK22,sK23,X2)
| ~ cong(X0,X1,X0,sK22)
| ~ cong(X0,X1,X0,sK23)
| ~ cong(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_67470,plain,
( cyclic(sK22,sK22,sK23,sK22)
| ~ cong(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_67469]) ).
tcf(c_72730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK23,X3,sK22)
| ~ perp(X1,X2,X3,sK22)
| ~ perp(X0,sK23,X1,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_72733,plain,
( para(sK22,sK23,sK22,sK22)
| ~ perp(sK22,sK22,sK22,sK22)
| ~ perp(sK22,sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_72730]) ).
tcf(c_75495,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,sK24,X0,X1)
| ~ para(X0,X1,X2,sK24) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_75496,plain,
( para(sK22,sK24,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_75495]) ).
tcf(c_78149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,sK26,X3,sK26)
| ~ cyclic(X1,sK26,X0,sK26)
| ~ cyclic(X1,sK26,X0,X3)
| ~ cyclic(X1,sK26,X0,X2)
| ~ eqangle(X0,X1,X0,sK26,X2,X3,X2,sK26) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_78150,plain,
( cong(sK22,sK26,sK22,sK26)
| ~ cyclic(sK22,sK26,sK22,sK22)
| ~ cyclic(sK22,sK26,sK22,sK26)
| ~ eqangle(sK22,sK22,sK22,sK26,sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_78149]) ).
tcf(c_78990,plain,
! [X0: $i,X1: $i] :
( cong(X0,X0,sK23,X0)
| ~ midp(X0,X0,X1)
| ~ perp(X0,sK23,sK23,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_78991,plain,
( cong(sK22,sK22,sK23,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ perp(sK22,sK23,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_78990]) ).
tcf(c_81032,plain,
( ~ midp(sK27,sK23,sK22)
| ~ midp(sK25,sK26,sK24) ),
inference(global_subsumption_just,[status(thm)],[c_21447,c_172,c_164,c_179,c_183,c_204,c_237,c_6754,c_7090,c_7293,c_7306,c_7429,c_8166,c_8288,c_10218,c_10341,c_10899,c_12199,c_17243,c_21382,c_24713,c_25700,c_34501,c_35187,c_36652,c_53194,c_67141,c_78991]) ).
tcf(c_81033,plain,
( ~ midp(sK25,sK26,sK24)
| ~ midp(sK27,sK23,sK22) ),
inference(renaming,[status(thm)],[c_81032]) ).
tcf(c_81318,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK24,X1)
| ~ para(sK22,sK20,sK24,X1)
| ~ para(sK22,X0,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_12784]) ).
tcf(c_81322,plain,
( para(sK22,sK22,sK24,sK22)
| ~ para(sK22,sK20,sK24,sK22)
| ~ para(sK22,sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_81318]) ).
tcf(c_82936,plain,
! [X0: $i] :
( midp(sK27,sK23,X0)
| ~ midp(sK27,X0,sK23) ),
inference(instantiation,[status(thm)],[c_8304]) ).
tcf(c_82937,plain,
( midp(sK27,sK23,sK22)
| ~ midp(sK27,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_82936]) ).
tcf(c_89350,plain,
! [X0: $i,X1: $i] :
( cyclic(sK23,sK27,X1,sK23)
| ~ cyclic(X0,sK23,sK27,sK23)
| ~ cyclic(X0,sK23,sK27,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_89351,plain,
( cyclic(sK23,sK27,sK22,sK23)
| ~ cyclic(sK22,sK23,sK27,sK22)
| ~ cyclic(sK22,sK23,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_89350]) ).
tcf(c_90647,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK23,sK21)
| ~ coll(X1,sK23,sK21)
| ~ midp(X0,sK23,X2)
| ~ para(X0,X1,X2,sK21) ),
inference(instantiation,[status(thm)],[c_11917]) ).
tcf(c_90648,plain,
( midp(sK22,sK23,sK21)
| ~ midp(sK22,sK23,sK22)
| ~ coll(sK22,sK23,sK21)
| ~ para(sK22,sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_90647]) ).
tcf(c_91878,plain,
! [X0: $i,X1: $i] :
( midp(sK25,sK22,sK23)
| ~ midp(sK25,X0,X1)
| ~ para(X0,sK22,X1,sK23)
| ~ para(X0,sK23,X1,sK22) ),
inference(instantiation,[status(thm)],[c_12039]) ).
tcf(c_91879,plain,
( midp(sK25,sK22,sK23)
| ~ midp(sK25,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK23)
| ~ para(sK22,sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_91878]) ).
tcf(c_94027,plain,
midp(sK21,sK23,sK22),
inference(global_subsumption_just,[status(thm)],[c_24749,c_164,c_179,c_183,c_204,c_237,c_7090,c_7293,c_7429,c_8166,c_8288,c_10899,c_20664,c_25700,c_34321,c_35187,c_35767,c_36652,c_53194,c_67141,c_78991,c_90648]) ).
tcf(c_94038,plain,
midp(sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_94027,c_59]) ).
tcf(c_104740,plain,
! [X0: $i,X1: $i] :
( midp(sK25,sK26,sK24)
| ~ midp(sK25,X0,X1)
| ~ para(X0,sK24,X1,sK26)
| ~ para(X0,sK26,X1,sK24) ),
inference(instantiation,[status(thm)],[c_12034]) ).
tcf(c_104741,plain,
( midp(sK25,sK26,sK24)
| ~ midp(sK25,sK22,sK22)
| ~ para(sK22,sK24,sK22,sK26)
| ~ para(sK22,sK26,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_104740]) ).
tcf(c_110213,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,sK27,X0,sK23,X1,sK27,X1,sK23)
| ~ cyclic(sK27,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_110214,plain,
( eqangle(sK22,sK27,sK22,sK23,sK22,sK27,sK22,sK23)
| ~ cyclic(sK27,sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_110213]) ).
tcf(c_112383,plain,
( ~ midp(sK27,sK23,sK23)
| ~ midp(sK25,sK26,sK24) ),
inference(global_subsumption_just,[status(thm)],[c_30388,c_168,c_164,c_179,c_183,c_188,c_204,c_237,c_7090,c_7293,c_7429,c_7515,c_8166,c_10031,c_11253,c_11736,c_12163,c_12777,c_22303,c_24582,c_25627,c_25700,c_27593,c_28045,c_33360,c_35187,c_35576,c_38503,c_45989,c_53194,c_62873,c_72733,c_78991,c_81033,c_81322,c_82937,c_91879]) ).
tcf(c_112384,plain,
( ~ midp(sK25,sK26,sK24)
| ~ midp(sK27,sK23,sK23) ),
inference(renaming,[status(thm)],[c_112383]) ).
tcf(c_116211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X1,sK26,X2,X3,X1,sK26)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_116212,plain,
( eqangle(sK22,sK22,sK22,sK26,sK22,sK22,sK22,sK26)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116211]) ).
tcf(c_116430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X1,sK27,X2,X3,X1,sK27)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_116431,plain,
( eqangle(sK22,sK22,sK22,sK27,sK22,sK22,sK22,sK27)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116430]) ).
tcf(c_122961,plain,
midp(sK21,sK23,sK23),
inference(superposition,[status(thm)],[c_28478,c_22823]) ).
tcf(c_123388,plain,
perp(sK21,sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_122961,c_9763]) ).
tcf(c_124786,plain,
( cong(sK21,sK22,sK21,sK23)
| ~ midp(sK21,sK22,sK23) ),
inference(superposition,[status(thm)],[c_123388,c_104]) ).
tcf(c_124790,plain,
cong(sK21,sK22,sK21,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_124786,c_94038]) ).
tcf(c_124935,plain,
! [X0: $i,X1: $i] :
( cyclic(sK23,sK26,X0,X1)
| ~ coll(X0,X1,sK26)
| ~ eqangle(X0,sK23,X0,sK26,X1,sK23,X1,sK26) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_124936,plain,
( cyclic(sK23,sK26,sK22,sK22)
| ~ coll(sK22,sK22,sK26)
| ~ eqangle(sK22,sK23,sK22,sK26,sK22,sK23,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_124935]) ).
tcf(c_125334,plain,
cyclic(sK22,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_124790,c_13582]) ).
tcf(c_125335,plain,
! [X0: $i] :
( cyclic(sK22,sK23,sK22,X0)
| ~ cong(sK21,sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_124790,c_12998]) ).
tcf(c_132004,plain,
cyclic(sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_124790,c_125335]) ).
tcf(c_135162,plain,
cyclic(sK22,sK22,sK23,sK23),
inference(superposition,[status(thm)],[c_132004,c_63]) ).
tcf(c_149774,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK27)
| ~ cyclic(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_149775,plain,
( cyclic(sK22,sK22,sK22,sK27)
| ~ cyclic(sK22,sK22,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_149774]) ).
tcf(c_160033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X2,sK27,sK23)
| ~ cyclic(X1,X2,X0,sK27)
| ~ cyclic(X1,X2,X0,sK23)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,sK27,X3,sK23) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_160139,plain,
! [X0: $i,X1: $i] :
( cyclic(sK23,sK26,X0,X1)
| ~ cyclic(sK23,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_160146,plain,
! [X0: $i,X1: $i] :
( midp(sK27,X0,X1)
| ~ coll(sK27,X0,X1)
| ~ cong(sK27,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_160492,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X2,X1,sK27)
| ~ cyclic(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_160495,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X0,X2,sK27)
| ~ cyclic(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_160496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X3,sK27)
| ~ cyclic(X0,X1,X2,sK27)
| ~ cyclic(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_160958,plain,
! [X0: $i] :
( cyclic(sK27,sK23,X0,sK23)
| ~ cyclic(sK23,sK27,X0,sK23) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_160959,plain,
( cyclic(sK27,sK23,sK22,sK23)
| ~ cyclic(sK23,sK27,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_160958]) ).
tcf(c_161205,plain,
! [X0: $i,X1: $i] :
( cyclic(sK23,X0,sK26,X1)
| ~ cyclic(sK23,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_161206,plain,
( cyclic(sK23,sK22,sK26,sK22)
| ~ cyclic(sK23,sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_161205]) ).
tcf(c_161213,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK23,X1,sK26,X2)
| ~ cyclic(X0,sK23,X1,sK26)
| ~ cyclic(X0,sK23,X1,X2) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_161438,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK23,sK26,X1)
| ~ cyclic(sK23,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_161439,plain,
( cyclic(sK22,sK23,sK26,sK22)
| ~ cyclic(sK23,sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_161438]) ).
tcf(c_161620,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK23,sK27,sK23)
| ~ cyclic(X0,X1,sK23,sK27)
| ~ cyclic(X0,X1,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_161621,plain,
( cyclic(sK22,sK23,sK27,sK23)
| ~ cyclic(sK22,sK22,sK23,sK27)
| ~ cyclic(sK22,sK22,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_161620]) ).
tcf(c_161688,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK23,sK27,X1,X2)
| ~ cyclic(X0,sK23,sK27,X2)
| ~ cyclic(X0,sK23,sK27,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_161689,plain,
( cyclic(sK23,sK27,sK22,sK22)
| ~ cyclic(sK22,sK23,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_161688]) ).
tcf(c_161760,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK23,X1,sK26)
| ~ cyclic(X0,sK23,sK26,X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_161761,plain,
( cyclic(sK22,sK23,sK22,sK26)
| ~ cyclic(sK22,sK23,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_161760]) ).
tcf(c_161954,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK27,X2)
| ~ cyclic(X0,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_161955,plain,
( cyclic(sK22,sK22,sK27,sK22)
| ~ cyclic(sK22,sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_161954]) ).
tcf(c_163876,plain,
! [X0: $i] :
( eqangle(X0,sK23,X0,sK26,X0,sK23,X0,sK26)
| ~ para(X0,sK23,X0,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_163877,plain,
( eqangle(sK22,sK23,sK22,sK26,sK22,sK23,sK22,sK26)
| ~ para(sK22,sK23,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_163876]) ).
tcf(c_165634,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK26,X1,X2,sK26)
| ~ cyclic(X0,sK26,X1,sK26)
| ~ cyclic(X0,sK26,X1,X2) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_165677,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X0,X2,sK26)
| ~ cyclic(X0,X1,X2,sK26) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_165692,plain,
! [X0: $i] :
( cyclic(sK23,sK26,X0,sK26)
| ~ cyclic(sK23,X0,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_160139]) ).
tcf(c_165694,plain,
( cyclic(sK23,sK26,sK22,sK26)
| ~ cyclic(sK23,sK22,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_165692]) ).
tcf(c_167273,plain,
! [X0: $i,X1: $i] :
( cyclic(sK27,sK23,X0,X1)
| ~ cyclic(sK23,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_167274,plain,
( cyclic(sK27,sK23,sK22,sK22)
| ~ cyclic(sK23,sK27,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_167273]) ).
tcf(c_168365,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK27,X0,X2)
| ~ coll(X0,X2,sK27)
| ~ eqangle(X0,X1,X0,sK27,X2,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_168366,plain,
( cyclic(sK22,sK27,sK22,sK22)
| ~ coll(sK22,sK22,sK27)
| ~ eqangle(sK22,sK22,sK22,sK27,sK22,sK22,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_168365]) ).
tcf(c_171949,plain,
! [X0: $i] :
( cyclic(sK23,sK27,X0,sK27)
| ~ cyclic(sK23,X0,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_160492]) ).
tcf(c_171951,plain,
( cyclic(sK23,sK27,sK22,sK27)
| ~ cyclic(sK23,sK22,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_171949]) ).
tcf(c_171955,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK23,X1,sK27)
| ~ cyclic(X0,X1,sK23,sK27) ),
inference(instantiation,[status(thm)],[c_160492]) ).
tcf(c_171956,plain,
( cyclic(sK22,sK23,sK22,sK27)
| ~ cyclic(sK22,sK22,sK23,sK27) ),
inference(instantiation,[status(thm)],[c_171955]) ).
tcf(c_172035,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK23,X1,sK27)
| ~ cyclic(sK23,X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_160495]) ).
tcf(c_172063,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK23,sK27)
| ~ cyclic(X0,X1,X2,sK27)
| ~ cyclic(X0,X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_160496]) ).
tcf(c_172064,plain,
( cyclic(sK22,sK22,sK23,sK27)
| ~ cyclic(sK22,sK22,sK22,sK27)
| ~ cyclic(sK22,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_172063]) ).
tcf(c_172110,plain,
! [X0: $i,X1: $i] :
( cong(sK27,sK23,sK27,sK23)
| ~ cyclic(sK27,sK23,X0,sK27)
| ~ cyclic(sK27,sK23,X0,sK23)
| ~ cyclic(sK27,sK23,X0,X1)
| ~ eqangle(X0,sK27,X0,sK23,X1,sK27,X1,sK23) ),
inference(instantiation,[status(thm)],[c_160033]) ).
tcf(c_172112,plain,
( cong(sK27,sK23,sK27,sK23)
| ~ cyclic(sK27,sK23,sK22,sK22)
| ~ cyclic(sK27,sK23,sK22,sK27)
| ~ cyclic(sK27,sK23,sK22,sK23)
| ~ eqangle(sK22,sK27,sK22,sK23,sK22,sK27,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_172110]) ).
tcf(c_173894,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK26,X0,X1)
| ~ coll(X0,X1,sK26)
| ~ eqangle(X0,X1,X0,sK26,X1,X1,X1,sK26) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_173895,plain,
( cyclic(sK22,sK26,sK22,sK22)
| ~ coll(sK22,sK22,sK26)
| ~ eqangle(sK22,sK22,sK22,sK26,sK22,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_173894]) ).
tcf(c_174127,plain,
! [X0: $i,X1: $i] :
( cyclic(sK23,X1,sK26,sK26)
| ~ cyclic(X0,sK23,X1,sK26) ),
inference(instantiation,[status(thm)],[c_161213]) ).
tcf(c_174128,plain,
( cyclic(sK23,sK22,sK26,sK26)
| ~ cyclic(sK22,sK23,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_174127]) ).
tcf(c_174503,plain,
! [X0: $i,X1: $i] :
( cyclic(sK23,X1,sK27,sK27)
| ~ cyclic(X0,sK23,X1,sK27) ),
inference(instantiation,[status(thm)],[c_160496]) ).
tcf(c_174504,plain,
( cyclic(sK23,sK22,sK27,sK27)
| ~ cyclic(sK22,sK23,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_174503]) ).
tcf(c_175293,plain,
! [X0: $i] :
( cyclic(sK27,sK23,X0,sK27)
| ~ cyclic(sK23,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_172035]) ).
tcf(c_175294,plain,
( cyclic(sK27,sK23,sK22,sK27)
| ~ cyclic(sK23,sK27,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_175293]) ).
tcf(c_175969,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK26,X1,sK26)
| ~ cyclic(sK26,X0,X1,sK26) ),
inference(instantiation,[status(thm)],[c_165677]) ).
tcf(c_175970,plain,
( cyclic(sK22,sK26,sK22,sK26)
| ~ cyclic(sK26,sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_175969]) ).
tcf(c_176167,plain,
! [X0: $i,X1: $i] :
( cyclic(sK26,X0,X1,sK26)
| ~ cyclic(sK23,sK26,X0,sK26)
| ~ cyclic(sK23,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_165634]) ).
tcf(c_176168,plain,
( cyclic(sK26,sK22,sK22,sK26)
| ~ cyclic(sK23,sK26,sK22,sK22)
| ~ cyclic(sK23,sK26,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_176167]) ).
tcf(c_177251,plain,
( midp(sK27,sK23,sK23)
| ~ coll(sK27,sK23,sK23)
| ~ cong(sK27,sK23,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_160146]) ).
tcf(c_177252,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_177251,c_176168,c_175970,c_175294,c_174504,c_174128,c_173895,c_172112,c_172064,c_171956,c_171951,c_168366,c_167274,c_165694,c_163877,c_161955,c_161761,c_161689,c_161621,c_161439,c_161206,c_160959,c_149775,c_135162,c_125334,c_124936,c_116431,c_116212,c_112384,c_110214,c_104741,c_89351,c_81322,c_78991,c_78150,c_75496,c_67470,c_53194,c_38503,c_36652,c_35576,c_35187,c_34271,c_33360,c_32602,c_31673,c_27770,c_27593,c_25737,c_25700,c_24582,c_22303,c_17306,c_12777,c_11736,c_11732,c_11253,c_11241,c_10033,c_8166,c_7515,c_7429,c_7293,c_7090,c_7061,c_6942,c_6941,c_6702,c_6703,c_237,c_204,c_188,c_183,c_179,c_164,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO619+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Wed Sep 23 12:34:21 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.31 Running first-order theorem proving
% 0.03/0.31 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
% 0.03/0.32
% 0.03/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.32
% 0.03/0.32 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 56.96/8.61 % SZS status Started for theBenchmark.p
% 56.96/8.61 % SZS status Theorem for theBenchmark.p
% 56.96/8.61
% 56.96/8.61 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 56.96/8.61
% 56.96/8.61 % ------ iProver source info
% 56.96/8.61
% 56.96/8.61 % git: date: 2026-07-19 20:42:38 +0200
% 56.96/8.61 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 56.96/8.61 % git: non_committed_changes: false
% 56.96/8.61
% 56.96/8.61 % ------ Parsing...
% 56.96/8.61 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 56.96/8.61
% 56.96/8.61 % ------ 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 %
% 56.96/8.61
% 56.96/8.61 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 56.96/8.61
% 56.96/8.61 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 56.96/8.61 % ------ Proving...
% 56.96/8.61 % ------ Problem Properties
% 56.96/8.61
% 56.96/8.61 %
% 56.96/8.61 % clauses 124
% 56.96/8.61 % conjectures 12
% 56.96/8.61 % EPR 87
% 56.96/8.61 % Horn 114
% 56.96/8.61 % unary 12
% 56.96/8.61 % binary 37
% 56.96/8.61 % lits 340
% 56.96/8.61 % lits eq 4
% 56.96/8.61 % fd_pure 0
% 56.96/8.61 % fd_pseudo 0
% 56.96/8.61 % fd_cond 0
% 56.96/8.61 % fd_pseudo_cond 4
% 56.96/8.61 % AC symbols 0
% 56.96/8.61
% 56.96/8.61 % ------ Schedule dynamic 5 is on
% 56.96/8.61
% 56.96/8.61 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 56.96/8.61
% 56.96/8.61
% 56.96/8.61 % ------
% 56.96/8.61 % Current options:
% 56.96/8.61 % ------
% 56.96/8.61
% 56.96/8.61
% 56.96/8.61 %
% 56.96/8.61
% 56.96/8.61 % ------ Proving...
% 56.96/8.61 %
% 56.96/8.61
% 56.96/8.61 % SZS status Theorem for theBenchmark.p
% 56.96/8.61
% 56.96/8.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 56.96/8.62
% 56.96/8.62
%------------------------------------------------------------------------------