TSTP Solution File: GEO584+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO584+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:11:55 EDT 2023
% Result : Theorem 35.41s 5.72s
% Output : CNFRefutation 35.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 44
% Syntax : Number of formulae : 668 ( 128 unt; 0 def)
% Number of atoms : 1661 ( 4 equ)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 1791 ( 798 ~; 789 |; 134 &)
% ( 0 <=>; 70 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 1523 ( 2 sgn; 924 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD12) ).
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/theBenchmark.p',ruleD17) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD25) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqratio(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD29) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD45) ).
fof(f49,axiom,
! [X0,X1,X2,X7,X15] :
( ( perp(X7,X0,X0,X15)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X15,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD48) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X7] :
( ( coll(X7,X1,X3)
& coll(X7,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X7,X0,X0,X2,X7,X1,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD65) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD74) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( cong(X8,X9,X10,X11)
& eqratio(X0,X1,X2,X3,X8,X9,X10,X11) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD75) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X4,X9,X8,X18,X14,X19,X20] :
( ( coll(X14,X2,X3)
& perp(X14,X4,X2,X3)
& coll(X18,X0,X3)
& perp(X18,X4,X0,X3)
& coll(X8,X0,X1)
& perp(X8,X4,X0,X1)
& coll(X9,X1,X2)
& perp(X9,X4,X1,X2)
& circle(X7,X0,X4,X20)
& circle(X7,X0,X3,X19)
& circle(X7,X0,X1,X2) )
=> eqangle(X4,X8,X8,X18,X4,X9,X9,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416046) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X4,X9,X8,X18,X14,X19,X20] :
( ( coll(X14,X2,X3)
& perp(X14,X4,X2,X3)
& coll(X18,X0,X3)
& perp(X18,X4,X0,X3)
& coll(X8,X0,X1)
& perp(X8,X4,X0,X1)
& coll(X9,X1,X2)
& perp(X9,X4,X1,X2)
& circle(X7,X0,X4,X20)
& circle(X7,X0,X3,X19)
& circle(X7,X0,X1,X2) )
=> eqangle(X4,X8,X8,X18,X4,X9,X9,X14) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(f102,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(rectify,[],[f20]) ).
fof(f103,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(rectify,[],[f21]) ).
fof(f104,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(rectify,[],[f22]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f29]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f123,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(rectify,[],[f44]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f128,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(rectify,[],[f49]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f143,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(rectify,[],[f65]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X1,X3)
& coll(X4,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(rectify,[],[f66]) ).
fof(f147,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(rectify,[],[f75]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( cong(X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
inference(rectify,[],[f76]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X9,X2,X4)
& perp(X9,X5,X2,X4)
& coll(X8,X0,X4)
& perp(X8,X5,X0,X4)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X1,X2)
& perp(X6,X5,X1,X2)
& circle(X3,X0,X5,X11)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) )
=> eqangle(X5,X7,X7,X8,X5,X6,X6,X9) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f183]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f190]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f102]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f103]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( 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(ennf_transformation,[],[f104]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( 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(flattening,[],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f200]) ).
fof(f205,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f108]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f229]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f128]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f234]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f242]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f261,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f142]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f261]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f143]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f263]) ).
fof(f265,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f144]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f265]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f147]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f280]) ).
fof(f282,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f148]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f282]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X5,X7,X7,X8,X5,X6,X6,X9)
& coll(X9,X2,X4)
& perp(X9,X5,X2,X4)
& coll(X8,X0,X4)
& perp(X8,X5,X0,X4)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X1,X2)
& perp(X6,X5,X1,X2)
& circle(X3,X0,X5,X11)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X5,X7,X7,X8,X5,X6,X6,X9)
& coll(X9,X2,X4)
& perp(X9,X5,X2,X4)
& coll(X8,X0,X4)
& perp(X8,X5,X0,X4)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X1,X2)
& perp(X6,X5,X1,X2)
& circle(X3,X0,X5,X11)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X5,X7,X7,X8,X5,X6,X6,X9)
& coll(X9,X2,X4)
& perp(X9,X5,X2,X4)
& coll(X8,X0,X4)
& perp(X8,X5,X0,X4)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X1,X2)
& perp(X6,X5,X1,X2)
& circle(X3,X0,X5,X11)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X1,X2) )
=> ( ~ eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29)
& coll(sK29,sK22,sK24)
& perp(sK29,sK25,sK22,sK24)
& coll(sK28,sK20,sK24)
& perp(sK28,sK25,sK20,sK24)
& coll(sK27,sK20,sK21)
& perp(sK27,sK25,sK20,sK21)
& coll(sK26,sK21,sK22)
& perp(sK26,sK25,sK21,sK22)
& circle(sK23,sK20,sK25,sK31)
& circle(sK23,sK20,sK24,sK30)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29)
& coll(sK29,sK22,sK24)
& perp(sK29,sK25,sK22,sK24)
& coll(sK28,sK20,sK24)
& perp(sK28,sK25,sK20,sK24)
& coll(sK27,sK20,sK21)
& perp(sK27,sK25,sK20,sK21)
& coll(sK26,sK21,sK22)
& perp(sK26,sK25,sK21,sK22)
& circle(sK23,sK20,sK25,sK31)
& circle(sK23,sK20,sK24,sK30)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f370,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f371,plain,
! [X2,X3,X0,X1] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f381,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( 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,[],[f197]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f388,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f205]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f408,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f425,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f266]) ).
fof(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f281]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f283]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f473,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
circle(sK23,sK20,sK25,sK31),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
perp(sK26,sK25,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
coll(sK26,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
perp(sK27,sK25,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
perp(sK28,sK25,sK20,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
coll(sK28,sK20,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
perp(sK29,sK25,sK22,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
coll(sK29,sK22,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f484,plain,
~ eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_54,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_70,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_77,plain,
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_97,plain,
( ~ perp(X0,X1,X1,X2)
| ~ circle(X0,X1,X3,X4)
| eqangle(X1,X2,X1,X3,X4,X1,X4,X3) ),
inference(cnf_transformation,[],[f408]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_112,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f423]) ).
cnf(c_113,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(X4,X0,X2)
| midp(X4,X1,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_114,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(cnf_transformation,[],[f425]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_123,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_124,plain,
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f435]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_162,negated_conjecture,
~ eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29),
inference(cnf_transformation,[],[f484]) ).
cnf(c_163,negated_conjecture,
coll(sK29,sK22,sK24),
inference(cnf_transformation,[],[f483]) ).
cnf(c_164,negated_conjecture,
perp(sK29,sK25,sK22,sK24),
inference(cnf_transformation,[],[f482]) ).
cnf(c_165,negated_conjecture,
coll(sK28,sK20,sK24),
inference(cnf_transformation,[],[f481]) ).
cnf(c_166,negated_conjecture,
perp(sK28,sK25,sK20,sK24),
inference(cnf_transformation,[],[f480]) ).
cnf(c_167,negated_conjecture,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f479]) ).
cnf(c_168,negated_conjecture,
perp(sK27,sK25,sK20,sK21),
inference(cnf_transformation,[],[f478]) ).
cnf(c_169,negated_conjecture,
coll(sK26,sK21,sK22),
inference(cnf_transformation,[],[f477]) ).
cnf(c_170,negated_conjecture,
perp(sK26,sK25,sK21,sK22),
inference(cnf_transformation,[],[f476]) ).
cnf(c_171,negated_conjecture,
circle(sK23,sK20,sK25,sK31),
inference(cnf_transformation,[],[f475]) ).
cnf(c_173,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f473]) ).
cnf(c_179,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_182,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_188,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_237,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_2204,plain,
( X0 != sK23
| X1 != sK20
| X2 != sK25
| X3 != sK31
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_171]) ).
cnf(c_2205,plain,
perp(sK11(sK20,sK25,sK31,sK23),sK20,sK20,sK23),
inference(unflattening,[status(thm)],[c_2204]) ).
cnf(c_6672,plain,
coll(sK29,sK24,sK22),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_6673,plain,
coll(sK28,sK24,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_6674,plain,
coll(sK27,sK21,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
cnf(c_6675,plain,
coll(sK26,sK22,sK21),
inference(superposition,[status(thm)],[c_169,c_49]) ).
cnf(c_6681,plain,
coll(sK20,sK28,sK24),
inference(superposition,[status(thm)],[c_165,c_50]) ).
cnf(c_6682,plain,
coll(sK20,sK27,sK21),
inference(superposition,[status(thm)],[c_167,c_50]) ).
cnf(c_6686,plain,
coll(sK24,sK28,sK20),
inference(superposition,[status(thm)],[c_6673,c_50]) ).
cnf(c_6688,plain,
coll(sK21,sK27,sK20),
inference(superposition,[status(thm)],[c_6674,c_50]) ).
cnf(c_6753,plain,
perp(sK28,sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_166,c_55]) ).
cnf(c_6754,plain,
perp(sK27,sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_168,c_55]) ).
cnf(c_6762,plain,
perp(sK22,sK24,sK29,sK25),
inference(superposition,[status(thm)],[c_164,c_56]) ).
cnf(c_6763,plain,
perp(sK20,sK24,sK28,sK25),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_6764,plain,
perp(sK20,sK21,sK27,sK25),
inference(superposition,[status(thm)],[c_168,c_56]) ).
cnf(c_6765,plain,
perp(sK21,sK22,sK26,sK25),
inference(superposition,[status(thm)],[c_170,c_56]) ).
cnf(c_6785,plain,
perp(sK22,sK24,sK25,sK29),
inference(superposition,[status(thm)],[c_6762,c_55]) ).
cnf(c_6787,plain,
perp(sK20,sK24,sK25,sK28),
inference(superposition,[status(thm)],[c_6763,c_55]) ).
cnf(c_6789,plain,
perp(sK20,sK21,sK25,sK27),
inference(superposition,[status(thm)],[c_6764,c_55]) ).
cnf(c_6791,plain,
perp(sK21,sK22,sK25,sK26),
inference(superposition,[status(thm)],[c_6765,c_55]) ).
cnf(c_6804,plain,
perp(sK25,sK27,sK20,sK21),
inference(superposition,[status(thm)],[c_6789,c_56]) ).
cnf(c_6830,plain,
( ~ coll(sK29,sK22,X0)
| coll(sK24,X0,sK29) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
cnf(c_6831,plain,
( ~ coll(sK28,sK20,X0)
| coll(sK24,X0,sK28) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_6832,plain,
( ~ coll(sK27,sK20,X0)
| coll(sK21,X0,sK27) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
cnf(c_6833,plain,
( ~ coll(sK26,sK21,X0)
| coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_169,c_51]) ).
cnf(c_6834,plain,
( ~ coll(sK29,sK24,X0)
| coll(sK22,X0,sK29) ),
inference(superposition,[status(thm)],[c_6672,c_51]) ).
cnf(c_6835,plain,
( ~ coll(sK28,sK24,X0)
| coll(sK20,X0,sK28) ),
inference(superposition,[status(thm)],[c_6673,c_51]) ).
cnf(c_6836,plain,
( ~ coll(sK27,sK21,X0)
| coll(sK20,X0,sK27) ),
inference(superposition,[status(thm)],[c_6674,c_51]) ).
cnf(c_6837,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_6675,c_51]) ).
cnf(c_6839,plain,
( ~ coll(sK20,sK28,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_6681,c_51]) ).
cnf(c_6840,plain,
( ~ coll(sK20,sK27,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_6682,c_51]) ).
cnf(c_6843,plain,
( ~ coll(sK24,sK28,X0)
| coll(sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_6686,c_51]) ).
cnf(c_6844,plain,
( ~ coll(sK21,sK27,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_6688,c_51]) ).
cnf(c_6909,plain,
( ~ coll(sK21,sK27,sK20)
| coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6844]) ).
cnf(c_6910,plain,
( ~ coll(sK24,sK28,sK20)
| coll(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_6843]) ).
cnf(c_6914,plain,
( ~ coll(sK20,sK28,sK20)
| coll(sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6839]) ).
cnf(c_6919,plain,
( ~ coll(sK29,sK24,sK20)
| coll(sK22,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_6834]) ).
cnf(c_6934,plain,
coll(sK24,sK24,sK29),
inference(superposition,[status(thm)],[c_163,c_6830]) ).
cnf(c_6935,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK29,X0,sK24) ),
inference(superposition,[status(thm)],[c_6934,c_51]) ).
cnf(c_6937,plain,
coll(sK24,sK29,sK24),
inference(superposition,[status(thm)],[c_6934,c_49]) ).
cnf(c_6945,plain,
coll(sK24,sK24,sK28),
inference(superposition,[status(thm)],[c_165,c_6831]) ).
cnf(c_6946,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK28,X0,sK24) ),
inference(superposition,[status(thm)],[c_6945,c_51]) ).
cnf(c_6955,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_167,c_6832]) ).
cnf(c_6958,plain,
coll(sK21,sK27,sK21),
inference(superposition,[status(thm)],[c_6955,c_49]) ).
cnf(c_6965,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_169,c_6833]) ).
cnf(c_6966,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK26,X0,sK22) ),
inference(superposition,[status(thm)],[c_6965,c_51]) ).
cnf(c_6976,plain,
coll(sK22,sK22,sK29),
inference(superposition,[status(thm)],[c_6672,c_6834]) ).
cnf(c_6993,plain,
( ~ coll(sK24,sK29,X0)
| coll(sK24,X0,sK24) ),
inference(superposition,[status(thm)],[c_6937,c_51]) ).
cnf(c_7005,plain,
( ~ coll(sK21,sK27,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_6958,c_51]) ).
cnf(c_7019,plain,
coll(sK22,sK29,sK22),
inference(superposition,[status(thm)],[c_6976,c_49]) ).
cnf(c_7027,plain,
coll(sK20,sK20,sK28),
inference(superposition,[status(thm)],[c_6673,c_6835]) ).
cnf(c_7028,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK28,X0,sK20) ),
inference(superposition,[status(thm)],[c_7027,c_51]) ).
cnf(c_7030,plain,
coll(sK20,sK28,sK20),
inference(superposition,[status(thm)],[c_7027,c_49]) ).
cnf(c_7038,plain,
coll(sK20,sK20,sK27),
inference(superposition,[status(thm)],[c_6674,c_6836]) ).
cnf(c_7049,plain,
coll(sK21,sK21,sK26),
inference(superposition,[status(thm)],[c_6675,c_6837]) ).
cnf(c_7050,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK26,X0,sK21) ),
inference(superposition,[status(thm)],[c_7049,c_51]) ).
cnf(c_7052,plain,
coll(sK21,sK26,sK21),
inference(superposition,[status(thm)],[c_7049,c_49]) ).
cnf(c_7055,plain,
( ~ coll(sK21,sK21,sK20)
| coll(sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7050]) ).
cnf(c_7065,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_6681,c_6839]) ).
cnf(c_7119,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_7065,c_51]) ).
cnf(c_7133,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6682,c_6840]) ).
cnf(c_7159,plain,
coll(sK29,sK29,sK24),
inference(superposition,[status(thm)],[c_6934,c_6935]) ).
cnf(c_7160,plain,
coll(sK29,sK20,sK24),
inference(superposition,[status(thm)],[c_7065,c_6935]) ).
cnf(c_7163,plain,
( ~ coll(sK29,sK29,X0)
| coll(sK24,X0,sK29) ),
inference(superposition,[status(thm)],[c_7159,c_51]) ).
cnf(c_7183,plain,
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
cnf(c_7186,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7183]) ).
cnf(c_7207,plain,
( ~ coll(sK22,sK29,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_7019,c_51]) ).
cnf(c_7218,plain,
( ~ coll(sK20,sK28,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_7030,c_51]) ).
cnf(c_7219,plain,
coll(sK28,sK20,sK20),
inference(superposition,[status(thm)],[c_7030,c_50]) ).
cnf(c_7221,plain,
coll(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_7030,c_6839]) ).
cnf(c_7224,plain,
( ~ coll(sK20,sK28,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7218]) ).
cnf(c_7236,plain,
( ~ coll(sK21,sK26,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7052,c_51]) ).
cnf(c_7237,plain,
coll(sK26,sK21,sK21),
inference(superposition,[status(thm)],[c_7052,c_50]) ).
cnf(c_7262,plain,
coll(sK28,sK28,sK24),
inference(superposition,[status(thm)],[c_6945,c_6946]) ).
cnf(c_7266,plain,
coll(sK28,sK24,sK28),
inference(superposition,[status(thm)],[c_7262,c_49]) ).
cnf(c_7293,plain,
( ~ perp(sK20,sK24,X0,X1)
| ~ perp(sK28,sK25,sK20,sK24)
| para(sK28,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_7295,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ perp(sK27,sK25,sK20,sK21)
| para(sK27,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_7296,plain,
( ~ perp(sK27,sK25,sK20,sK21)
| ~ perp(sK20,sK21,sK20,sK20)
| para(sK27,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7295]) ).
cnf(c_7361,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_173,c_102]) ).
cnf(c_7394,plain,
coll(sK29,sK24,sK20),
inference(superposition,[status(thm)],[c_7160,c_49]) ).
cnf(c_7440,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7361,c_56]) ).
cnf(c_7441,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7361,c_55]) ).
cnf(c_7499,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_6688,c_6844]) ).
cnf(c_7509,plain,
( ~ midp(sK25,sK20,sK24)
| cong(sK28,sK20,sK28,sK24) ),
inference(superposition,[status(thm)],[c_166,c_104]) ).
cnf(c_7510,plain,
( ~ midp(sK25,sK20,sK21)
| cong(sK27,sK20,sK27,sK21) ),
inference(superposition,[status(thm)],[c_168,c_104]) ).
cnf(c_7511,plain,
( ~ midp(sK25,sK21,sK22)
| cong(sK26,sK21,sK26,sK22) ),
inference(superposition,[status(thm)],[c_170,c_104]) ).
cnf(c_7662,plain,
( ~ perp(sK22,sK24,X0,X1)
| para(sK29,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
cnf(c_7663,plain,
( ~ perp(sK20,sK24,X0,X1)
| para(sK28,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
cnf(c_7664,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK27,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
cnf(c_7665,plain,
( ~ perp(sK21,sK22,X0,X1)
| para(sK26,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_170,c_57]) ).
cnf(c_7668,plain,
( ~ perp(sK21,sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7361,c_57]) ).
cnf(c_7674,plain,
( ~ perp(sK28,sK25,X0,X1)
| para(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6763,c_57]) ).
cnf(c_7675,plain,
( ~ perp(sK27,sK25,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_6764,c_57]) ).
cnf(c_7676,plain,
( ~ perp(sK26,sK25,X0,X1)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6765,c_57]) ).
cnf(c_7899,plain,
( ~ midp(sK25,sK20,sK24)
| cong(sK28,sK24,sK28,sK20) ),
inference(superposition,[status(thm)],[c_7509,c_72]) ).
cnf(c_7921,plain,
( ~ midp(sK25,sK20,sK21)
| cong(sK27,sK21,sK27,sK20) ),
inference(superposition,[status(thm)],[c_7510,c_72]) ).
cnf(c_7939,plain,
( ~ midp(sK25,sK21,sK22)
| cong(sK26,sK22,sK26,sK21) ),
inference(superposition,[status(thm)],[c_7511,c_72]) ).
cnf(c_7974,plain,
( ~ cong(sK28,sK20,sK28,X0)
| ~ midp(sK25,sK20,sK24)
| circle(sK28,sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_7509,c_60]) ).
cnf(c_7975,plain,
( ~ cong(sK27,sK20,sK27,X0)
| ~ midp(sK25,sK20,sK21)
| circle(sK27,sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_7510,c_60]) ).
cnf(c_7976,plain,
( ~ cong(sK26,sK21,sK26,X0)
| ~ midp(sK25,sK21,sK22)
| circle(sK26,sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_7511,c_60]) ).
cnf(c_8018,plain,
( ~ cong(sK28,sK24,X0,X1)
| ~ midp(sK25,sK20,sK24)
| cong(sK28,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7509,c_73]) ).
cnf(c_8019,plain,
( ~ cong(sK27,sK21,X0,X1)
| ~ midp(sK25,sK20,sK21)
| cong(sK27,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7510,c_73]) ).
cnf(c_8020,plain,
( ~ cong(sK26,sK22,X0,X1)
| ~ midp(sK25,sK21,sK22)
| cong(sK26,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7511,c_73]) ).
cnf(c_8071,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_7221,c_50]) ).
cnf(c_8093,plain,
para(sK29,sK25,sK29,sK25),
inference(superposition,[status(thm)],[c_6762,c_7662]) ).
cnf(c_8094,plain,
para(sK29,sK25,sK25,sK29),
inference(superposition,[status(thm)],[c_6785,c_7662]) ).
cnf(c_8101,plain,
para(sK28,sK25,sK25,sK28),
inference(superposition,[status(thm)],[c_6787,c_7663]) ).
cnf(c_8129,plain,
para(sK26,sK25,sK25,sK26),
inference(superposition,[status(thm)],[c_6791,c_7665]) ).
cnf(c_8130,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK26,sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7440,c_7665]) ).
cnf(c_8167,plain,
coll(sK29,sK25,sK25),
inference(superposition,[status(thm)],[c_8093,c_115]) ).
cnf(c_8170,plain,
para(sK25,sK29,sK29,sK25),
inference(superposition,[status(thm)],[c_8094,c_53]) ).
cnf(c_8185,plain,
para(sK25,sK28,sK28,sK25),
inference(superposition,[status(thm)],[c_8101,c_53]) ).
cnf(c_8249,plain,
( ~ coll(sK26,sK21,X0)
| coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_7237,c_51]) ).
cnf(c_8255,plain,
( ~ coll(sK26,sK21,sK20)
| coll(sK21,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_8249]) ).
cnf(c_8304,plain,
para(sK25,sK26,sK26,sK25),
inference(superposition,[status(thm)],[c_8129,c_53]) ).
cnf(c_8320,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK27,sK25,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7441,c_7664]) ).
cnf(c_8436,plain,
( ~ coll(sK28,sK24,X0)
| coll(sK28,X0,sK28) ),
inference(superposition,[status(thm)],[c_7266,c_51]) ).
cnf(c_8442,plain,
( ~ coll(sK28,sK24,sK20)
| coll(sK28,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_8436]) ).
cnf(c_9270,plain,
( ~ perp(sK11(sK20,sK25,sK31,sK23),sK20,sK20,sK23)
| perp(sK20,sK23,sK11(sK20,sK25,sK31,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_9271,plain,
( ~ perp(sK11(sK20,sK25,sK31,sK23),sK20,sK20,sK23)
| perp(sK11(sK20,sK25,sK31,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_9647,plain,
( ~ coll(sK29,sK24,X0)
| coll(sK20,X0,sK29) ),
inference(superposition,[status(thm)],[c_7394,c_51]) ).
cnf(c_9650,plain,
coll(sK22,sK20,sK29),
inference(superposition,[status(thm)],[c_7394,c_6834]) ).
cnf(c_9658,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_7499,c_51]) ).
cnf(c_9711,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| perp(sK26,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_8130,c_58]) ).
cnf(c_9712,plain,
( ~ para(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK26,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_8130,c_54]) ).
cnf(c_9729,plain,
( ~ para(sK20,sK21,sK20,sK20)
| ~ coll(sK23,sK20,sK22)
| para(sK26,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9712]) ).
cnf(c_9748,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK22,sK21,sK27,sK25) ),
inference(superposition,[status(thm)],[c_8320,c_53]) ).
cnf(c_10076,plain,
para(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_166,c_7674]) ).
cnf(c_10077,plain,
para(sK20,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_6753,c_7674]) ).
cnf(c_10088,plain,
( ~ coll(sK24,X0,sK20)
| ~ midp(sK20,X0,sK24)
| midp(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_10077,c_94]) ).
cnf(c_10090,plain,
( ~ para(sK24,sK20,X0,X1)
| para(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_10077,c_54]) ).
cnf(c_10100,plain,
( ~ para(sK24,sK20,sK20,sK20)
| para(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10090]) ).
cnf(c_10102,plain,
( ~ coll(sK24,sK20,sK20)
| ~ midp(sK20,sK20,sK24)
| midp(sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10088]) ).
cnf(c_10103,plain,
( ~ coll(sK26,X0,sK21)
| coll(sK26,sK21,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_10104,plain,
( ~ coll(sK26,sK20,sK21)
| coll(sK26,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_10103]) ).
cnf(c_10114,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_168,c_7675]) ).
cnf(c_10115,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6754,c_7675]) ).
cnf(c_10116,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_10114,c_94]) ).
cnf(c_10208,plain,
( ~ circle(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| eqangle(sK21,sK22,sK21,X0,X1,sK21,X1,X0) ),
inference(superposition,[status(thm)],[c_7361,c_97]) ).
cnf(c_10322,plain,
coll(sK25,sK29,sK25),
inference(superposition,[status(thm)],[c_8167,c_50]) ).
cnf(c_11176,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK22)
| coll(X2,sK22,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_11316,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK25,sK26) ),
inference(superposition,[status(thm)],[c_6791,c_7668]) ).
cnf(c_11854,plain,
( ~ coll(sK23,sK22,sK20)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_11906,plain,
( ~ midp(sK28,sK20,X0)
| ~ midp(sK25,sK20,sK24)
| circle(sK28,sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_117,c_7974]) ).
cnf(c_12062,plain,
coll(sK21,sK21,sK21),
inference(superposition,[status(thm)],[c_6958,c_7005]) ).
cnf(c_12624,plain,
( ~ midp(sK25,sK20,sK21)
| circle(sK27,sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_7510,c_7975]) ).
cnf(c_12655,plain,
( ~ coll(sK27,sK20,sK21)
| ~ midp(sK25,sK20,sK21)
| perp(sK20,sK21,sK21,sK21) ),
inference(superposition,[status(thm)],[c_12624,c_102]) ).
cnf(c_12656,plain,
( ~ midp(sK25,sK20,sK21)
| perp(sK20,sK21,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12655,c_167]) ).
cnf(c_12664,plain,
( ~ midp(sK25,sK20,sK21)
| ~ midp(sK21,sK21,sK21)
| cong(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_12656,c_104]) ).
cnf(c_12665,plain,
( ~ midp(sK25,sK20,sK21)
| perp(sK21,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_12656,c_56]) ).
cnf(c_12708,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ midp(sK25,sK20,sK21)
| para(sK21,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_12665,c_57]) ).
cnf(c_12763,plain,
( ~ cong(sK20,sK21,sK20,X0)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK21,sK21,sK21)
| circle(sK20,sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_12664,c_60]) ).
cnf(c_12805,plain,
( ~ cong(sK20,sK21,sK20,sK20)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK21,sK21,sK21)
| circle(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_12763]) ).
cnf(c_13530,plain,
coll(sK22,sK29,sK20),
inference(superposition,[status(thm)],[c_9650,c_49]) ).
cnf(c_13621,plain,
( ~ midp(sK28,sK24,X0)
| ~ midp(sK25,sK20,sK24)
| cong(sK28,sK20,sK28,X0) ),
inference(superposition,[status(thm)],[c_117,c_8018]) ).
cnf(c_13623,plain,
( ~ midp(sK25,sK20,sK24)
| cong(sK28,sK20,sK28,sK20) ),
inference(superposition,[status(thm)],[c_7899,c_8018]) ).
cnf(c_13641,plain,
( ~ perp(sK11(sK20,sK25,sK31,sK23),sK20,X0,X1)
| ~ perp(sK20,sK23,sK11(sK20,sK25,sK31,sK23),sK20)
| para(sK20,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_13659,plain,
( ~ midp(sK25,sK20,sK21)
| cong(sK27,sK20,sK27,sK20) ),
inference(superposition,[status(thm)],[c_7921,c_8019]) ).
cnf(c_13682,plain,
( ~ midp(sK25,sK21,sK22)
| cong(sK26,sK21,sK26,sK21) ),
inference(superposition,[status(thm)],[c_7939,c_8020]) ).
cnf(c_13734,plain,
coll(sK28,sK21,sK20),
inference(superposition,[status(thm)],[c_7499,c_7028]) ).
cnf(c_13736,plain,
coll(sK28,sK27,sK20),
inference(superposition,[status(thm)],[c_7038,c_7028]) ).
cnf(c_14402,plain,
( ~ coll(sK25,sK29,X0)
| coll(sK25,X0,sK25) ),
inference(superposition,[status(thm)],[c_10322,c_51]) ).
cnf(c_15397,plain,
( ~ circle(sK20,sK21,X0,sK21)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_10208,c_87]) ).
cnf(c_15431,plain,
( ~ circle(sK20,sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_15397]) ).
cnf(c_18450,plain,
( ~ midp(sK20,sK21,sK20)
| midp(sK21,sK21,sK21) ),
inference(superposition,[status(thm)],[c_12062,c_10116]) ).
cnf(c_20013,plain,
( ~ para(sK20,sK24,sK20,sK24)
| eqangle(sK20,sK24,X0,X1,sK20,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_20015,plain,
( ~ para(sK20,sK24,sK20,sK24)
| eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20013]) ).
cnf(c_20249,plain,
( ~ coll(sK22,sK29,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_13530,c_51]) ).
cnf(c_20255,plain,
( ~ coll(sK22,sK29,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_20249]) ).
cnf(c_20317,plain,
coll(sK28,sK20,sK27),
inference(superposition,[status(thm)],[c_13736,c_49]) ).
cnf(c_22737,plain,
( ~ para(sK20,sK24,sK24,sK20)
| eqangle(sK20,sK24,X0,X1,sK24,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_22739,plain,
( ~ para(sK20,sK24,sK24,sK20)
| eqangle(sK20,sK24,sK20,sK20,sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_22737]) ).
cnf(c_23171,plain,
( ~ para(sK20,sK21,sK21,sK20)
| eqangle(sK20,sK21,X0,X1,sK21,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_23173,plain,
( ~ para(sK20,sK21,sK21,sK20)
| eqangle(sK20,sK21,sK20,sK20,sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_23171]) ).
cnf(c_23326,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK25,sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_6804,c_57]) ).
cnf(c_23334,plain,
( ~ perp(sK20,sK21,sK20,sK20)
| para(sK25,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_23326]) ).
cnf(c_24059,plain,
para(sK25,sK29,sK25,sK29),
inference(superposition,[status(thm)],[c_8170,c_52]) ).
cnf(c_24098,plain,
para(sK25,sK28,sK25,sK28),
inference(superposition,[status(thm)],[c_8185,c_52]) ).
cnf(c_24136,plain,
( ~ para(sK26,sK25,X0,X1)
| para(sK25,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_8304,c_54]) ).
cnf(c_24149,plain,
( ~ para(sK26,sK25,sK20,sK20)
| para(sK25,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24136]) ).
cnf(c_28129,plain,
( ~ para(sK23,X0,sK23,X1)
| coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_28130,plain,
( ~ para(sK23,sK20,sK23,sK20)
| coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_28129]) ).
cnf(c_29149,plain,
( ~ perp(sK27,sK25,X0,X1)
| ~ coll(sK23,sK20,sK22)
| perp(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_9748,c_58]) ).
cnf(c_29170,plain,
( ~ perp(sK27,sK25,sK20,sK20)
| ~ coll(sK23,sK20,sK22)
| perp(sK22,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_29149]) ).
cnf(c_29201,plain,
( ~ coll(sK21,X0,sK26)
| ~ midp(sK20,X0,sK25)
| ~ coll(sK23,sK20,sK22)
| midp(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_11316,c_94]) ).
cnf(c_29224,plain,
( ~ coll(sK21,sK20,sK26)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK20,sK25)
| midp(sK21,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_29201]) ).
cnf(c_29311,plain,
( ~ coll(sK20,X0,sK22)
| ~ coll(sK20,X0,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_11176]) ).
cnf(c_29312,plain,
( ~ coll(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_29311]) ).
cnf(c_30141,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(sK27,sK25,X0,X1)
| perp(sK27,sK25,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_30142,plain,
( ~ para(sK27,sK25,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK27,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_30141]) ).
cnf(c_30215,plain,
( ~ coll(sK28,sK20,sK20)
| ~ midp(sK25,sK20,sK24)
| midp(sK28,sK20,sK20) ),
inference(superposition,[status(thm)],[c_13623,c_116]) ).
cnf(c_30238,plain,
( ~ midp(sK25,sK20,sK24)
| midp(sK28,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30215,c_7219]) ).
cnf(c_30325,plain,
( ~ midp(sK25,sK20,sK21)
| circle(sK27,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_13659,c_7975]) ).
cnf(c_30454,plain,
( ~ midp(sK25,sK21,sK22)
| circle(sK26,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_13682,c_7976]) ).
cnf(c_33251,plain,
( ~ coll(sK27,sK20,sK21)
| ~ midp(sK25,sK20,sK21)
| perp(sK20,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_30325,c_102]) ).
cnf(c_33252,plain,
( ~ midp(sK25,sK20,sK21)
| perp(sK20,sK20,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33251,c_167]) ).
cnf(c_33259,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ midp(sK25,sK20,sK21)
| para(sK20,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_33252,c_57]) ).
cnf(c_33747,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK25,sK20,sK21)
| para(sK20,sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7361,c_33259]) ).
cnf(c_33812,plain,
( ~ coll(sK20,X0,sK22)
| ~ midp(sK20,X0,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK25,sK20,sK21)
| midp(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_33747,c_94]) ).
cnf(c_33840,plain,
( ~ coll(sK20,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK20,sK20,sK21)
| midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_33812]) ).
cnf(c_34711,plain,
( ~ coll(sK26,sK21,sK22)
| ~ midp(sK25,sK21,sK22)
| perp(sK21,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_30454,c_102]) ).
cnf(c_34712,plain,
( ~ midp(sK25,sK21,sK22)
| perp(sK21,sK21,sK21,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34711,c_169]) ).
cnf(c_37716,plain,
( ~ eqangle(sK20,sK24,sK20,X0,sK20,sK24,sK20,X0)
| ~ coll(sK20,sK20,X0)
| cyclic(sK24,X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_37718,plain,
( ~ eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_37716]) ).
cnf(c_37754,plain,
coll(sK25,sK29,sK29),
inference(superposition,[status(thm)],[c_24059,c_115]) ).
cnf(c_37765,plain,
coll(sK29,sK25,sK29),
inference(superposition,[status(thm)],[c_37754,c_50]) ).
cnf(c_37785,plain,
coll(sK29,sK29,sK25),
inference(superposition,[status(thm)],[c_37765,c_49]) ).
cnf(c_37801,plain,
coll(sK24,sK25,sK29),
inference(superposition,[status(thm)],[c_37785,c_7163]) ).
cnf(c_37807,plain,
coll(sK24,sK29,sK25),
inference(superposition,[status(thm)],[c_37801,c_49]) ).
cnf(c_38091,plain,
coll(sK29,sK24,sK25),
inference(superposition,[status(thm)],[c_37807,c_50]) ).
cnf(c_38093,plain,
coll(sK24,sK25,sK24),
inference(superposition,[status(thm)],[c_37807,c_6993]) ).
cnf(c_38110,plain,
coll(sK22,sK25,sK29),
inference(superposition,[status(thm)],[c_38091,c_6834]) ).
cnf(c_38116,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_38093,c_49]) ).
cnf(c_38174,plain,
coll(sK22,sK29,sK25),
inference(superposition,[status(thm)],[c_38110,c_49]) ).
cnf(c_38274,plain,
coll(sK20,sK25,sK24),
inference(superposition,[status(thm)],[c_38116,c_7119]) ).
cnf(c_38276,plain,
coll(sK28,sK25,sK24),
inference(superposition,[status(thm)],[c_38116,c_6946]) ).
cnf(c_38339,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_38174,c_7207]) ).
cnf(c_38346,plain,
coll(sK28,sK24,sK25),
inference(superposition,[status(thm)],[c_38276,c_49]) ).
cnf(c_39163,plain,
coll(sK20,sK25,sK29),
inference(superposition,[status(thm)],[c_38091,c_9647]) ).
cnf(c_39301,plain,
coll(sK25,sK20,sK24),
inference(superposition,[status(thm)],[c_38274,c_50]) ).
cnf(c_39302,plain,
coll(sK20,sK24,sK25),
inference(superposition,[status(thm)],[c_38274,c_49]) ).
cnf(c_39909,plain,
coll(sK20,sK25,sK28),
inference(superposition,[status(thm)],[c_38346,c_6835]) ).
cnf(c_39915,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_38339,c_49]) ).
cnf(c_39927,plain,
coll(sK25,sK20,sK29),
inference(superposition,[status(thm)],[c_39163,c_50]) ).
cnf(c_39938,plain,
coll(sK20,sK28,sK25),
inference(superposition,[status(thm)],[c_39909,c_49]) ).
cnf(c_40183,plain,
coll(sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_39301,c_49]) ).
cnf(c_40187,plain,
( ~ coll(sK20,sK24,X0)
| coll(sK25,X0,sK20) ),
inference(superposition,[status(thm)],[c_39302,c_51]) ).
cnf(c_40194,plain,
( ~ coll(sK20,sK24,sK20)
| coll(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40187]) ).
cnf(c_40252,plain,
coll(sK26,sK25,sK22),
inference(superposition,[status(thm)],[c_39915,c_6966]) ).
cnf(c_40264,plain,
coll(sK26,sK22,sK25),
inference(superposition,[status(thm)],[c_40252,c_49]) ).
cnf(c_41081,plain,
coll(sK25,sK29,sK20),
inference(superposition,[status(thm)],[c_39927,c_49]) ).
cnf(c_41133,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_39938,c_7218]) ).
cnf(c_41138,plain,
( ~ coll(sK25,sK24,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_40183,c_51]) ).
cnf(c_41143,plain,
( ~ coll(sK25,sK24,sK20)
| coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_41138]) ).
cnf(c_41660,plain,
coll(sK21,sK25,sK26),
inference(superposition,[status(thm)],[c_40264,c_6837]) ).
cnf(c_42127,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK25,sK20,sK21)
| perp(sK26,sK25,sK21,sK21) ),
inference(superposition,[status(thm)],[c_12656,c_9711]) ).
cnf(c_42291,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_41133,c_49]) ).
cnf(c_42456,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK25,sK20,sK21)
| para(sK21,sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_42127,c_7676]) ).
cnf(c_42956,plain,
coll(sK21,sK26,sK25),
inference(superposition,[status(thm)],[c_41660,c_49]) ).
cnf(c_42965,plain,
coll(sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_42291,c_9658]) ).
cnf(c_43759,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_42956,c_7236]) ).
cnf(c_43909,plain,
( ~ midp(sK28,sK20,X0)
| ~ coll(sK28,sK20,sK24)
| ~ midp(sK25,sK20,sK24)
| perp(sK20,X0,X0,sK24) ),
inference(superposition,[status(thm)],[c_11906,c_102]) ).
cnf(c_43910,plain,
( ~ midp(sK28,sK20,X0)
| ~ midp(sK25,sK20,sK24)
| perp(sK20,X0,X0,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_43909,c_165]) ).
cnf(c_43920,plain,
( ~ perp(X0,sK24,X1,X2)
| ~ midp(sK28,sK20,X0)
| ~ midp(sK25,sK20,sK24)
| para(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_43910,c_57]) ).
cnf(c_44513,plain,
( ~ coll(sK28,X0,sK28)
| ~ midp(sK25,X0,sK25)
| midp(sK28,X0,sK28) ),
inference(superposition,[status(thm)],[c_24098,c_94]) ).
cnf(c_44527,plain,
( ~ coll(sK28,sK20,sK28)
| ~ midp(sK25,sK20,sK25)
| midp(sK28,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_44513]) ).
cnf(c_44545,plain,
coll(sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_42965,c_50]) ).
cnf(c_44558,plain,
coll(sK25,sK21,sK21),
inference(superposition,[status(thm)],[c_43759,c_50]) ).
cnf(c_44942,plain,
( ~ midp(sK25,sK20,sK24)
| ~ midp(sK28,sK20,sK22)
| para(sK20,sK22,sK25,sK29) ),
inference(superposition,[status(thm)],[c_6785,c_43920]) ).
cnf(c_52455,plain,
( ~ midp(sK28,sK24,X0)
| ~ midp(sK25,sK20,sK24)
| circle(sK28,sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_13621,c_7974]) ).
cnf(c_53851,plain,
coll(sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_41081,c_14402]) ).
cnf(c_53892,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_53851,c_49]) ).
cnf(c_58254,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK25,sK20,sK21)
| para(sK21,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_42456,c_53]) ).
cnf(c_59334,plain,
( ~ coll(sK22,X0,sK29)
| ~ midp(sK20,X0,sK25)
| ~ midp(sK25,sK20,sK24)
| ~ midp(sK28,sK20,sK22)
| midp(sK22,X0,sK29) ),
inference(superposition,[status(thm)],[c_44942,c_94]) ).
cnf(c_59362,plain,
( ~ coll(sK22,sK20,sK29)
| ~ midp(sK25,sK20,sK24)
| ~ midp(sK28,sK20,sK22)
| ~ midp(sK20,sK20,sK25)
| midp(sK22,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_59334]) ).
cnf(c_68799,plain,
( ~ coll(sK23,X0,X1)
| ~ coll(sK23,X0,sK20)
| coll(sK20,X1,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_68800,plain,
( ~ coll(sK23,sK20,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_68799]) ).
cnf(c_72009,plain,
( ~ perp(sK11(sK20,sK25,sK31,sK23),sK20,sK23,sK20)
| ~ perp(sK20,sK23,sK11(sK20,sK25,sK31,sK23),sK20)
| para(sK20,sK23,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_13641]) ).
cnf(c_73574,plain,
( ~ midp(sK28,sK24,X0)
| ~ coll(sK28,sK20,sK24)
| ~ midp(sK25,sK20,sK24)
| perp(sK20,X0,X0,sK24) ),
inference(superposition,[status(thm)],[c_52455,c_102]) ).
cnf(c_73575,plain,
( ~ midp(sK28,sK24,X0)
| ~ midp(sK25,sK20,sK24)
| perp(sK20,X0,X0,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73574,c_165]) ).
cnf(c_73730,plain,
( ~ midp(sK28,sK24,X0)
| ~ midp(sK25,sK20,sK24)
| perp(X0,sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_73575,c_56]) ).
cnf(c_79094,plain,
( ~ para(sK20,sK23,sK23,sK20)
| para(sK23,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_108272,plain,
( ~ eqangle(sK20,sK24,X0,X1,sK24,sK20,X0,X1)
| eqangle(sK20,sK24,sK24,sK20,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_108279,plain,
( ~ eqangle(sK20,sK24,sK20,sK20,sK24,sK20,sK20,sK20)
| eqangle(sK20,sK24,sK24,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_108272]) ).
cnf(c_108419,plain,
( ~ eqangle(sK20,sK21,X0,X1,sK21,sK20,X0,X1)
| eqangle(sK20,sK21,sK21,sK20,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_108426,plain,
( ~ eqangle(sK20,sK21,sK20,sK20,sK21,sK20,sK20,sK20)
| eqangle(sK20,sK21,sK21,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_108419]) ).
cnf(c_110452,plain,
( ~ cyclic(sK24,X0,sK20,X1)
| ~ cyclic(sK24,X0,sK20,sK20)
| cyclic(X0,sK20,sK20,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_110459,plain,
( ~ cyclic(sK24,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_110452]) ).
cnf(c_115643,plain,
( ~ perp(sK20,sK24,sK24,X0)
| ~ perp(sK28,sK25,sK20,sK24)
| para(sK28,sK25,sK24,X0) ),
inference(instantiation,[status(thm)],[c_7293]) ).
cnf(c_115645,plain,
( ~ perp(sK28,sK25,sK20,sK24)
| ~ perp(sK20,sK24,sK24,sK20)
| para(sK28,sK25,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_115643]) ).
cnf(c_117066,plain,
( ~ eqangle(X0,X1,X2,X3,sK25,sK26,sK26,sK29)
| ~ eqangle(sK25,sK27,sK27,sK28,X0,X1,X2,X3)
| eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_117074,plain,
( ~ para(X0,sK24,X1,sK20)
| ~ para(X0,sK20,X1,sK24)
| ~ midp(sK25,X0,X1)
| midp(sK25,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_117075,plain,
( ~ para(sK20,sK24,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK24)
| ~ midp(sK25,sK20,sK20)
| midp(sK25,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_117074]) ).
cnf(c_117076,plain,
( ~ para(X0,sK22,X1,sK21)
| ~ para(X0,sK21,X1,sK22)
| ~ midp(sK25,X0,X1)
| midp(sK25,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_117114,plain,
( ~ eqangle(sK25,sK26,sK26,sK29,X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,sK25,sK26,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_117119,plain,
( ~ eqangle(X0,X1,sK26,sK29,sK25,sK26,sK26,sK29)
| ~ eqangle(sK25,sK27,sK27,sK28,X0,X1,sK26,sK29)
| eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_117066]) ).
cnf(c_117201,plain,
( ~ para(X0,sK25,sK24,X1)
| para(X0,sK25,X1,sK24) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_117202,plain,
( ~ para(sK20,sK25,sK24,sK20)
| para(sK20,sK25,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_117201]) ).
cnf(c_117232,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,sK21,X3)
| ~ midp(X0,sK21,X2)
| midp(X1,sK21,X3) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_117235,plain,
( ~ para(X0,X1,X2,sK21)
| ~ para(X0,sK21,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK21,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_117236,plain,
( ~ para(sK20,sK20,sK20,sK21)
| ~ para(sK20,sK21,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_117235]) ).
cnf(c_117273,plain,
( ~ cong(sK25,X0,sK25,X1)
| ~ coll(sK25,X0,X1)
| midp(sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_117274,plain,
( ~ cong(sK25,sK20,sK25,sK20)
| ~ coll(sK25,sK20,sK20)
| midp(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_117273]) ).
cnf(c_117275,plain,
( ~ midp(sK25,X0,X1)
| midp(sK25,X1,X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_117276,plain,
( ~ para(X0,sK25,X1,X2)
| ~ midp(X0,X3,X1)
| ~ coll(sK25,X3,X2)
| midp(sK25,X3,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_117483,plain,
( ~ para(X0,X1,sK27,sK28)
| eqangle(X0,X1,sK26,sK29,sK27,sK28,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_117514,plain,
( ~ eqangle(sK25,sK26,sK26,sK29,X0,X1,sK26,sK29)
| eqangle(X0,X1,sK26,sK29,sK25,sK26,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_117114]) ).
cnf(c_117515,plain,
( ~ para(sK25,sK26,X0,X1)
| eqangle(sK25,sK26,sK26,sK29,X0,X1,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_117572,plain,
( ~ eqratio(sK25,X0,sK25,X1,X2,X3,X4,X5)
| ~ cong(X2,X3,X4,X5)
| cong(sK25,X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_117573,plain,
( ~ eqratio(sK25,sK20,sK25,sK20,sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20)
| cong(sK25,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_117572]) ).
cnf(c_117769,plain,
( ~ cong(X0,sK20,X0,sK24)
| ~ coll(X0,sK20,sK24)
| midp(X0,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_117770,plain,
( ~ cong(sK20,sK20,sK20,sK24)
| ~ coll(sK20,sK20,sK24)
| midp(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_117769]) ).
cnf(c_117848,plain,
( ~ cong(X0,X1,X0,sK21)
| ~ coll(X0,X1,sK21)
| midp(X0,X1,sK21) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_117849,plain,
( ~ cong(sK20,sK20,sK20,sK21)
| ~ coll(sK20,sK20,sK21)
| midp(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_117848]) ).
cnf(c_117965,plain,
( ~ midp(X0,X1,sK24)
| ~ midp(sK25,X1,X2)
| para(X0,sK25,sK24,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_117966,plain,
( ~ midp(sK25,sK20,sK20)
| ~ midp(sK20,sK20,sK24)
| para(sK20,sK25,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_117965]) ).
cnf(c_117988,plain,
( ~ para(X0,sK25,X1,sK24)
| para(X1,sK24,X0,sK25) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_117989,plain,
( ~ para(sK20,sK25,sK20,sK24)
| para(sK20,sK24,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_117988]) ).
cnf(c_118057,plain,
( ~ midp(X0,sK24,sK25)
| midp(X0,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_118108,plain,
( ~ eqangle(X0,sK24,sK24,sK20,X1,X2,X3,X4)
| ~ perp(X1,X2,X3,X4)
| perp(X0,sK24,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_118109,plain,
( ~ eqangle(sK20,sK24,sK24,sK20,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK24,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_118108]) ).
cnf(c_118186,plain,
( ~ cong(X0,X1,X0,sK21)
| cong(X0,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_118187,plain,
( ~ cong(sK20,sK20,sK20,sK21)
| cong(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_118186]) ).
cnf(c_118273,plain,
( ~ para(X0,X1,X2,sK25)
| para(X2,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_118280,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK25,X1,X3)
| para(X0,sK25,X2,X3) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_118281,plain,
( ~ midp(sK25,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_118280]) ).
cnf(c_118361,plain,
( ~ cong(X0,X1,sK24,X0)
| cong(X0,X1,X0,sK24) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_118362,plain,
( ~ cong(sK20,sK20,sK24,sK20)
| cong(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_118361]) ).
cnf(c_118556,plain,
( ~ para(X0,sK21,X1,X2)
| para(X1,X2,X0,sK21) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_118557,plain,
( ~ para(sK20,sK21,sK20,sK20)
| para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_118556]) ).
cnf(c_119145,plain,
( ~ eqangle(sK25,sK26,X0,X1,X2,X3,X0,X1)
| para(sK25,sK26,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_119196,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,sK26,sK29)
| para(X0,X1,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_119232,plain,
( ~ para(sK25,sK27,X0,X1)
| para(X0,X1,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_119233,plain,
( ~ para(sK25,sK27,sK20,sK20)
| para(sK20,sK20,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_119232]) ).
cnf(c_119234,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,sK25,sK27)
| para(X0,X1,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_119270,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,sK27,sK28)
| para(X0,X1,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_119277,plain,
( ~ midp(X0,X1,sK27)
| ~ midp(X0,X2,sK28)
| para(X1,X2,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_119367,plain,
( ~ para(X0,X1,X2,sK25)
| ~ midp(X0,X3,X2)
| ~ coll(X1,X3,sK25)
| midp(X1,X3,sK25) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_119368,plain,
( ~ para(sK20,sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK25)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_119367]) ).
cnf(c_119753,plain,
( ~ eqangle(sK25,sK27,X0,X1,sK27,sK28,X2,X3)
| eqangle(sK25,sK27,sK27,sK28,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_119887,plain,
( ~ eqangle(X0,X1,X2,X3,sK26,sK29,X4,X5)
| ~ eqangle(sK25,sK26,X6,X7,X0,X1,X2,X3)
| eqangle(sK25,sK26,X6,X7,sK26,sK29,X4,X5) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_119888,plain,
( ~ eqangle(sK25,sK26,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK26,sK29,sK20,sK20)
| eqangle(sK25,sK26,sK20,sK20,sK26,sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_119887]) ).
cnf(c_120118,plain,
( ~ eqratio(sK25,X0,X1,X2,sK25,X3,X4,X5)
| eqratio(sK25,X0,sK25,X3,X1,X2,X4,X5) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_120119,plain,
( ~ eqratio(sK25,sK20,sK20,sK20,sK25,sK20,sK20,sK20)
| eqratio(sK25,sK20,sK25,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_120118]) ).
cnf(c_121006,plain,
( ~ para(sK21,sK22,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK22)
| ~ midp(sK25,sK21,sK21)
| midp(sK25,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_117076]) ).
cnf(c_121139,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK20,X1,sK24)
| para(X0,sK20,X2,sK24) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_121140,plain,
( ~ midp(sK20,sK20,sK24)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_121139]) ).
cnf(c_121193,plain,
( ~ midp(X0,X1,sK20)
| ~ midp(sK24,X1,X2)
| para(sK24,X0,X2,sK20) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_121194,plain,
( ~ midp(sK24,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| para(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_121193]) ).
cnf(c_121252,plain,
( ~ cong(X0,X0,sK21,X0)
| ~ cong(X0,X1,sK21,X1)
| perp(X0,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_121253,plain,
( ~ cong(sK20,sK20,sK21,sK20)
| perp(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_121252]) ).
cnf(c_121463,plain,
( ~ cong(X0,X1,sK21,X0)
| cong(X0,X1,X0,sK21) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_121464,plain,
( ~ cong(sK20,sK20,sK21,sK20)
| cong(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_121463]) ).
cnf(c_121685,plain,
( ~ para(X0,sK25,X1,X2)
| para(X1,X2,X0,sK25) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_121686,plain,
( ~ para(sK20,sK25,sK20,sK20)
| para(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_121685]) ).
cnf(c_121792,plain,
( ~ perp(X0,sK24,sK24,X1)
| ~ midp(X0,X0,X1)
| cong(X0,X0,sK24,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_121793,plain,
( ~ perp(sK20,sK24,sK24,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK20,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_121792]) ).
cnf(c_122014,plain,
( ~ midp(sK28,X0,sK20)
| midp(sK28,sK20,X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_122015,plain,
( ~ para(X0,sK28,X1,X2)
| ~ midp(X0,sK20,X1)
| ~ coll(sK28,sK20,X2)
| midp(sK28,sK20,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_122019,plain,
( ~ para(X0,X1,X2,sK20)
| ~ para(X0,sK20,X2,X1)
| ~ midp(sK28,X0,X2)
| midp(sK28,sK20,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_122115,plain,
( ~ para(sK28,sK25,sK24,X0)
| ~ coll(sK25,X1,X0)
| ~ midp(sK28,X1,sK24)
| midp(sK25,X1,X0) ),
inference(instantiation,[status(thm)],[c_117276]) ).
cnf(c_122386,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(sK28,X0,X2)
| midp(sK28,X1,X3) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_122442,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(sK20,sK21,X0,X1)
| para(sK20,sK21,X2,X3) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_122444,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK20,sK21,X0,X1)
| para(sK20,sK21,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_122445,plain,
( ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK21,sK20,sK20)
| para(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_122444]) ).
cnf(c_122468,plain,
( ~ midp(sK22,X0,X1)
| ~ midp(sK21,X0,X2)
| para(sK21,sK22,X2,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_125108,plain,
( ~ para(sK25,sK26,X0,X1)
| eqangle(sK25,sK26,X2,X3,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_125109,plain,
( ~ para(sK25,sK26,sK20,sK20)
| eqangle(sK25,sK26,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_125108]) ).
cnf(c_125506,plain,
( ~ para(X0,X1,sK26,sK29)
| eqangle(X0,X1,X2,X3,sK26,sK29,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_125507,plain,
( ~ para(sK20,sK20,sK26,sK29)
| eqangle(sK20,sK20,sK20,sK20,sK26,sK29,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_125506]) ).
cnf(c_127059,plain,
( ~ eqangle(sK20,sK21,sK21,X0,X1,X2,X3,X4)
| ~ perp(X1,X2,X3,X4)
| perp(sK20,sK21,sK21,X0) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_127060,plain,
( ~ eqangle(sK20,sK21,sK21,sK20,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_127059]) ).
cnf(c_127667,plain,
( ~ perp(sK20,sK21,sK21,X0)
| ~ midp(X1,sK20,X0)
| cong(sK20,X1,sK21,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_127668,plain,
( ~ perp(sK20,sK21,sK21,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK20,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_127667]) ).
cnf(c_128615,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK28,X1,X3)
| para(X0,sK28,X2,X3) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_128616,plain,
( ~ midp(sK28,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_128615]) ).
cnf(c_128896,plain,
( ~ para(sK20,sK21,X0,sK25)
| para(X0,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_118273]) ).
cnf(c_128898,plain,
( ~ para(sK20,sK21,sK20,sK25)
| para(sK20,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_128896]) ).
cnf(c_129459,plain,
( ~ para(X0,sK28,sK25,sK27)
| ~ midp(X0,sK20,sK25)
| ~ coll(sK28,sK20,sK27)
| midp(sK28,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_122015]) ).
cnf(c_129461,plain,
( ~ para(sK20,sK28,sK25,sK27)
| ~ coll(sK28,sK20,sK27)
| ~ midp(sK20,sK20,sK25)
| midp(sK28,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_129459]) ).
cnf(c_130499,plain,
( ~ midp(sK28,sK21,sK20)
| midp(sK28,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_122014]) ).
cnf(c_130513,plain,
( ~ midp(sK25,sK21,X0)
| midp(sK25,X0,sK21) ),
inference(instantiation,[status(thm)],[c_117275]) ).
cnf(c_130519,plain,
( ~ midp(sK25,sK21,sK20)
| midp(sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_130513]) ).
cnf(c_131563,plain,
( ~ para(X0,sK28,X1,X2)
| ~ para(X1,X2,sK25,sK27)
| para(X0,sK28,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_119234]) ).
cnf(c_131567,plain,
( ~ para(sK20,sK28,sK20,sK20)
| ~ para(sK20,sK20,sK25,sK27)
| para(sK20,sK28,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_131563]) ).
cnf(c_138293,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(sK25,X0,X2)
| ~ coll(sK25,X1,X3)
| eqratio(sK25,X0,X0,X2,sK25,X1,X1,X3) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_138294,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ coll(sK25,sK20,sK20)
| eqratio(sK25,sK20,sK20,sK20,sK25,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_138293]) ).
cnf(c_138604,plain,
( ~ para(X0,sK25,X1,sK21)
| ~ midp(X0,sK21,X1)
| ~ coll(sK25,sK21,sK21)
| midp(sK25,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_117232]) ).
cnf(c_138605,plain,
( ~ para(sK20,sK25,sK20,sK21)
| ~ coll(sK25,sK21,sK21)
| ~ midp(sK20,sK21,sK20)
| midp(sK25,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_138604]) ).
cnf(c_138664,plain,
( ~ para(X0,sK28,X1,X2)
| ~ midp(X0,sK21,X1)
| ~ coll(sK28,sK21,X2)
| midp(sK28,sK21,X2) ),
inference(instantiation,[status(thm)],[c_117232]) ).
cnf(c_138667,plain,
( ~ para(sK20,sK28,sK20,sK20)
| ~ coll(sK28,sK21,sK20)
| ~ midp(sK20,sK21,sK20)
| midp(sK28,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_138664]) ).
cnf(c_139867,plain,
( ~ midp(sK28,X0,sK28)
| ~ midp(sK28,sK20,sK27)
| para(sK20,X0,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_119277]) ).
cnf(c_139870,plain,
( ~ midp(sK28,sK20,sK27)
| ~ midp(sK28,sK20,sK28)
| para(sK20,sK20,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_139867]) ).
cnf(c_139949,plain,
( ~ midp(sK28,sK24,sK25)
| midp(sK28,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_118057]) ).
cnf(c_140074,plain,
( ~ para(sK28,sK25,sK24,X0)
| ~ coll(sK25,sK25,X0)
| ~ midp(sK28,sK25,sK24)
| midp(sK25,sK25,X0) ),
inference(instantiation,[status(thm)],[c_122115]) ).
cnf(c_140075,plain,
( ~ para(sK28,sK25,sK24,sK20)
| ~ coll(sK25,sK25,sK20)
| ~ midp(sK28,sK25,sK24)
| midp(sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_140074]) ).
cnf(c_140933,plain,
( ~ midp(sK25,sK25,sK20)
| midp(sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_117275]) ).
cnf(c_142829,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,sK22)
| para(X0,X3,X2,sK22) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_142830,plain,
( ~ midp(sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_142829]) ).
cnf(c_144494,plain,
( ~ para(X0,sK22,X1,sK20)
| ~ para(X0,sK20,X1,sK22)
| ~ midp(sK28,X0,X1)
| midp(sK28,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_122019]) ).
cnf(c_144495,plain,
( ~ para(sK20,sK22,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK22)
| ~ midp(sK28,sK20,sK20)
| midp(sK28,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_144494]) ).
cnf(c_144597,plain,
( ~ para(X0,sK25,X1,sK24)
| ~ para(X0,sK24,X1,sK25)
| ~ midp(sK28,X0,X1)
| midp(sK28,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_122386]) ).
cnf(c_144598,plain,
( ~ para(sK20,sK25,sK20,sK24)
| ~ para(sK20,sK24,sK20,sK25)
| ~ midp(sK28,sK20,sK20)
| midp(sK28,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_144597]) ).
cnf(c_145362,plain,
( ~ para(X0,X1,X2,sK25)
| ~ para(sK20,sK21,X0,X1)
| para(sK20,sK21,X2,sK25) ),
inference(instantiation,[status(thm)],[c_122442]) ).
cnf(c_145363,plain,
( ~ para(sK20,sK20,sK20,sK25)
| ~ para(sK20,sK21,sK20,sK20)
| para(sK20,sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_145362]) ).
cnf(c_145536,plain,
( ~ para(sK25,sK27,sK27,sK28)
| eqangle(sK25,sK27,sK26,sK29,sK27,sK28,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_117483]) ).
cnf(c_145538,plain,
( ~ eqangle(sK25,sK27,sK26,sK29,sK27,sK28,sK26,sK29)
| eqangle(sK25,sK27,sK27,sK28,sK26,sK29,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_119753]) ).
cnf(c_146196,plain,
( ~ midp(sK25,sK20,sK24)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK28,sK24,sK21)
| para(sK21,sK21,sK21,sK24) ),
inference(superposition,[status(thm)],[c_73575,c_12708]) ).
cnf(c_146197,plain,
( ~ midp(sK25,sK20,sK24)
| ~ midp(sK25,sK20,sK21)
| ~ midp(sK28,sK20,sK21)
| para(sK21,sK21,sK21,sK24) ),
inference(superposition,[status(thm)],[c_43910,c_12708]) ).
cnf(c_146707,plain,
( ~ para(X0,sK25,X1,X2)
| ~ midp(X0,sK21,X1)
| ~ coll(sK25,sK21,X2)
| midp(sK25,sK21,X2) ),
inference(instantiation,[status(thm)],[c_117232]) ).
cnf(c_146708,plain,
( ~ para(sK20,sK25,sK20,sK20)
| ~ coll(sK25,sK21,sK20)
| ~ midp(sK20,sK21,sK20)
| midp(sK25,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_146707]) ).
cnf(c_147169,plain,
para(sK21,sK21,sK21,sK24),
inference(global_subsumption_just,[status(thm)],[c_146196,c_179,c_182,c_188,c_237,c_6686,c_6910,c_6914,c_7030,c_7186,c_7224,c_8071,c_10077,c_10076,c_10100,c_10102,c_10115,c_13734,c_20015,c_22739,c_23173,c_30238,c_37718,c_40194,c_44545,c_108279,c_108426,c_110459,c_117075,c_117236,c_117274,c_117573,c_117770,c_118109,c_118281,c_118362,c_118557,c_120119,c_121140,c_121194,c_121253,c_121793,c_122445,c_127060,c_127668,c_128616,c_130499,c_130519,c_138294,c_138667,c_146197,c_146708]) ).
cnf(c_147173,plain,
( ~ perp(sK21,sK24,X0,X1)
| perp(sK21,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_147169,c_58]) ).
cnf(c_147491,plain,
( ~ midp(sK25,sK20,sK24)
| ~ midp(sK28,sK24,sK21)
| perp(sK21,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_73730,c_147173]) ).
cnf(c_148528,plain,
perp(sK21,sK21,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_147491,c_179,c_182,c_188,c_237,c_7030,c_7186,c_7224,c_8071,c_10076,c_10115,c_12665,c_20015,c_23173,c_37718,c_40194,c_44545,c_108426,c_110459,c_117236,c_117274,c_117573,c_118281,c_118557,c_120119,c_121253,c_122445,c_127060,c_127668,c_130519,c_138294,c_146708]) ).
cnf(c_148532,plain,
perp(sK20,sK21,sK21,sK21),
inference(superposition,[status(thm)],[c_148528,c_56]) ).
cnf(c_148767,plain,
para(sK27,sK25,sK21,sK21),
inference(superposition,[status(thm)],[c_148532,c_7664]) ).
cnf(c_148982,plain,
( ~ perp(sK21,sK21,X0,X1)
| perp(sK27,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_148767,c_58]) ).
cnf(c_149319,plain,
( ~ midp(sK25,sK21,sK22)
| perp(sK27,sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_34712,c_148982]) ).
cnf(c_149465,plain,
( ~ midp(sK25,sK21,sK22)
| cong(sK27,sK21,sK27,sK22) ),
inference(superposition,[status(thm)],[c_149319,c_104]) ).
cnf(c_149677,plain,
( ~ midp(sK25,sK20,sK21)
| ~ midp(sK25,sK21,sK22)
| cong(sK27,sK20,sK27,sK22) ),
inference(superposition,[status(thm)],[c_149465,c_8019]) ).
cnf(c_153742,plain,
( ~ para(X0,X1,sK27,sK28)
| ~ para(sK25,sK27,X0,X1)
| para(sK25,sK27,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_119270]) ).
cnf(c_153743,plain,
( ~ para(sK25,sK27,sK20,sK20)
| ~ para(sK20,sK20,sK27,sK28)
| para(sK25,sK27,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_153742]) ).
cnf(c_154714,plain,
( ~ midp(sK25,sK21,sK22)
| cong(sK27,sK20,sK27,sK22) ),
inference(global_subsumption_just,[status(thm)],[c_149677,c_179,c_182,c_188,c_237,c_7030,c_7186,c_7224,c_8071,c_10076,c_10115,c_20015,c_23173,c_37718,c_40194,c_44545,c_108426,c_110459,c_117236,c_117274,c_117573,c_118281,c_118557,c_120119,c_121253,c_122445,c_127060,c_127668,c_130519,c_138294,c_146708,c_149677]) ).
cnf(c_154735,plain,
( ~ midp(sK25,sK20,sK21)
| ~ midp(sK25,sK21,sK22)
| circle(sK27,sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_154714,c_7975]) ).
cnf(c_155737,plain,
( ~ midp(sK25,sK21,sK22)
| circle(sK27,sK20,sK22,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_154735,c_179,c_182,c_188,c_237,c_7030,c_7186,c_7224,c_8071,c_10076,c_10115,c_20015,c_23173,c_37718,c_40194,c_44545,c_108426,c_110459,c_117236,c_117274,c_117573,c_118281,c_118557,c_120119,c_121253,c_122445,c_127060,c_127668,c_130519,c_138294,c_146708,c_154735]) ).
cnf(c_155743,plain,
( ~ coll(sK27,sK20,sK21)
| ~ midp(sK25,sK21,sK22)
| perp(sK20,sK22,sK22,sK21) ),
inference(superposition,[status(thm)],[c_155737,c_102]) ).
cnf(c_155744,plain,
( ~ midp(sK25,sK21,sK22)
| perp(sK20,sK22,sK22,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_155743,c_167]) ).
cnf(c_155808,plain,
( ~ perp(sK22,sK21,X0,X1)
| ~ midp(sK25,sK21,sK22)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_155744,c_57]) ).
cnf(c_155851,plain,
( ~ perp(sK22,sK21,sK20,sK20)
| ~ midp(sK25,sK21,sK22)
| para(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_155808]) ).
cnf(c_159032,plain,
( ~ para(sK23,sK20,X0,sK23)
| para(sK23,sK20,sK23,X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_159033,plain,
( ~ para(sK23,sK20,sK20,sK23)
| para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_159032]) ).
cnf(c_160739,plain,
( ~ eqangle(sK25,sK26,sK26,sK29,sK26,sK29,sK26,sK29)
| eqangle(sK26,sK29,sK26,sK29,sK25,sK26,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_117514]) ).
cnf(c_161221,plain,
( ~ para(sK25,sK26,sK26,sK29)
| eqangle(sK25,sK26,sK26,sK29,sK26,sK29,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_117515]) ).
cnf(c_161831,plain,
( ~ para(X0,X1,sK21,sK22)
| ~ para(sK21,sK22,sK26,sK29)
| para(X0,X1,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_119196]) ).
cnf(c_161832,plain,
( ~ para(sK20,sK20,sK21,sK22)
| ~ para(sK21,sK22,sK26,sK29)
| para(sK20,sK20,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_161831]) ).
cnf(c_162115,plain,
( ~ midp(sK22,X0,sK29)
| ~ midp(sK21,X0,sK26)
| para(sK21,sK22,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_122468]) ).
cnf(c_162117,plain,
( ~ midp(sK22,sK20,sK29)
| ~ midp(sK21,sK20,sK26)
| para(sK21,sK22,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_162115]) ).
cnf(c_170609,plain,
( ~ eqangle(sK25,sK27,sK27,sK28,sK26,sK29,sK26,sK29)
| ~ eqangle(sK26,sK29,sK26,sK29,sK25,sK26,sK26,sK29)
| eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_117119]) ).
cnf(c_170801,plain,
( ~ eqangle(sK25,sK26,X0,X1,sK26,sK29,X0,X1)
| para(sK25,sK26,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_119145]) ).
cnf(c_170802,plain,
( ~ eqangle(sK25,sK26,sK20,sK20,sK26,sK29,sK20,sK20)
| para(sK25,sK26,sK26,sK29) ),
inference(instantiation,[status(thm)],[c_170801]) ).
cnf(c_170803,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_170802,c_170609,c_162117,c_161832,c_161221,c_160739,c_159033,c_155851,c_153743,c_146708,c_145538,c_145536,c_145363,c_144598,c_144495,c_142830,c_140933,c_140075,c_139949,c_139870,c_138605,c_138294,c_131567,c_130519,c_129461,c_128898,c_128616,c_127668,c_127060,c_125507,c_125109,c_122445,c_121793,c_121686,c_121464,c_121253,c_121194,c_121140,c_121006,c_120119,c_119888,c_119368,c_119233,c_118557,c_118362,c_118281,c_118187,c_118109,c_117989,c_117966,c_117849,c_117770,c_117573,c_117274,c_117236,c_117202,c_117075,c_115645,c_110459,c_108426,c_108279,c_79094,c_72009,c_68800,c_59362,c_58254,c_53892,c_44558,c_44545,c_44527,c_41143,c_40194,c_40183,c_37718,c_33840,c_33747,c_30238,c_30142,c_29312,c_29224,c_29170,c_28130,c_24149,c_23334,c_23173,c_22739,c_20317,c_20255,c_20015,c_18450,c_15431,c_13530,c_12805,c_11854,c_10115,c_10104,c_10102,c_10100,c_10076,c_10077,c_9729,c_9270,c_9271,c_8442,c_8255,c_8071,c_7394,c_7296,c_7224,c_7186,c_7133,c_7055,c_7030,c_6919,c_6914,c_6910,c_6909,c_6688,c_6686,c_6673,c_2205,c_237,c_188,c_182,c_179,c_162,c_166,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO584+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 20:17:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 35.41/5.72 % SZS status Started for theBenchmark.p
% 35.41/5.72 % SZS status Theorem for theBenchmark.p
% 35.41/5.72
% 35.41/5.72 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 35.41/5.72
% 35.41/5.72 ------ iProver source info
% 35.41/5.72
% 35.41/5.72 git: date: 2023-05-31 18:12:56 +0000
% 35.41/5.72 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 35.41/5.72 git: non_committed_changes: false
% 35.41/5.72 git: last_make_outside_of_git: false
% 35.41/5.72
% 35.41/5.72 ------ Parsing...
% 35.41/5.72 ------ Clausification by vclausify_rel & Parsing by iProver...
% 35.41/5.72
% 35.41/5.72 ------ 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
% 35.41/5.72
% 35.41/5.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 35.41/5.72
% 35.41/5.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 35.41/5.72 ------ Proving...
% 35.41/5.72 ------ Problem Properties
% 35.41/5.72
% 35.41/5.72
% 35.41/5.72 clauses 124
% 35.41/5.72 conjectures 12
% 35.41/5.72 EPR 87
% 35.41/5.72 Horn 114
% 35.41/5.72 unary 12
% 35.41/5.72 binary 37
% 35.41/5.72 lits 340
% 35.41/5.72 lits eq 4
% 35.41/5.72 fd_pure 0
% 35.41/5.72 fd_pseudo 0
% 35.41/5.72 fd_cond 0
% 35.41/5.72 fd_pseudo_cond 4
% 35.41/5.72 AC symbols 0
% 35.41/5.72
% 35.41/5.72 ------ Schedule dynamic 5 is on
% 35.41/5.72
% 35.41/5.72 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 35.41/5.72
% 35.41/5.72
% 35.41/5.72 ------
% 35.41/5.72 Current options:
% 35.41/5.72 ------
% 35.41/5.72
% 35.41/5.72
% 35.41/5.72
% 35.41/5.72
% 35.41/5.72 ------ Proving...
% 35.41/5.72
% 35.41/5.72
% 35.41/5.72 % SZS status Theorem for theBenchmark.p
% 35.41/5.72
% 35.41/5.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.41/5.73
% 35.41/5.73
%------------------------------------------------------------------------------