TSTP Solution File: GEO614+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO614+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.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 : Fri May 3 02:18:03 EDT 2024
% Result : Theorem 83.81s 12.20s
% Output : CNFRefutation 83.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 36
% Syntax : Number of formulae : 440 ( 17 unt; 0 def)
% Number of atoms : 1180 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 1329 ( 589 ~; 580 |; 103 &)
% ( 0 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 1130 ( 2 sgn 700 !; 34 ?)
% 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(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(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(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
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(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(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(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(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(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(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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD73) ).
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(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,X12,X4,X18,X13,X16,X19] :
( ( circle(X16,X18,X12,X13)
& coll(X13,X7,X12)
& perp(X13,X0,X7,X12)
& coll(X18,X0,X1)
& perp(X18,X4,X0,X1)
& circle(X7,X0,X4,X19)
& coll(X4,X7,X12)
& midp(X12,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X4,X18,X18,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618076) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X12,X4,X18,X13,X16,X19] :
( ( circle(X16,X18,X12,X13)
& coll(X13,X7,X12)
& perp(X13,X0,X7,X12)
& coll(X18,X0,X1)
& perp(X18,X4,X0,X1)
& circle(X7,X0,X4,X19)
& coll(X4,X7,X12)
& midp(X12,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X4,X18,X18,X16) ),
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(f100,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f18]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
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(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(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(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(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(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
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(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] :
( ( circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X5,X6,X6,X8) ),
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(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(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(f188,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f100]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
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(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(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(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(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(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(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(f271,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f146]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f278]) ).
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(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] :
( ~ perp(X5,X6,X6,X8)
& circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& 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] :
( ~ perp(X5,X6,X6,X8)
& circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> ( ~ perp(sK25,sK26,sK26,sK28)
& circle(sK28,sK26,sK24,sK27)
& coll(sK27,sK23,sK24)
& perp(sK27,sK20,sK23,sK24)
& coll(sK26,sK20,sK21)
& perp(sK26,sK25,sK20,sK21)
& circle(sK23,sK20,sK25,sK29)
& coll(sK25,sK23,sK24)
& midp(sK24,sK22,sK21)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK25,sK26,sK26,sK28)
& circle(sK28,sK26,sK24,sK27)
& coll(sK27,sK23,sK24)
& perp(sK27,sK20,sK23,sK24)
& coll(sK26,sK20,sK21)
& perp(sK26,sK25,sK20,sK21)
& circle(sK23,sK20,sK25,sK29)
& coll(sK25,sK23,sK24)
& midp(sK24,sK22,sK21)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29])],[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(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(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(f374,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f188]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f192]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
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(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(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(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(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(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(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(f429,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f279]) ).
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(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(f474,plain,
midp(sK24,sK22,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
perp(sK27,sK20,sK23,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
coll(sK27,sK23,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
circle(sK28,sK26,sK24,sK27),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
~ perp(sK25,sK26,sK26,sK28),
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_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_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_63,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_66,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
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_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_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_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_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
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_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_118,plain,
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f429]) ).
cnf(c_122,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f433]) ).
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_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,
~ perp(sK25,sK26,sK26,sK28),
inference(cnf_transformation,[],[f482]) ).
cnf(c_163,negated_conjecture,
circle(sK28,sK26,sK24,sK27),
inference(cnf_transformation,[],[f481]) ).
cnf(c_164,negated_conjecture,
coll(sK27,sK23,sK24),
inference(cnf_transformation,[],[f480]) ).
cnf(c_165,negated_conjecture,
perp(sK27,sK20,sK23,sK24),
inference(cnf_transformation,[],[f479]) ).
cnf(c_166,negated_conjecture,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f478]) ).
cnf(c_167,negated_conjecture,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f477]) ).
cnf(c_169,negated_conjecture,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f475]) ).
cnf(c_170,negated_conjecture,
midp(sK24,sK22,sK21),
inference(cnf_transformation,[],[f474]) ).
cnf(c_177,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_181,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_186,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_202,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_235,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_2364,plain,
( ~ coll(sK27,sK23,sK24)
| coll(sK27,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2366,plain,
( ~ coll(sK27,sK23,X0)
| ~ coll(sK27,sK23,sK24)
| coll(X0,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2369,plain,
( ~ perp(sK27,sK20,sK23,sK24)
| perp(sK23,sK24,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2370,plain,
( ~ perp(sK27,sK20,sK23,sK24)
| perp(sK27,sK20,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_2373,plain,
( ~ coll(sK26,sK20,sK21)
| coll(sK20,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2374,plain,
( ~ coll(sK26,sK20,sK21)
| coll(sK26,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2376,plain,
( ~ coll(sK26,sK20,X0)
| ~ coll(sK26,sK20,sK21)
| coll(X0,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2379,plain,
( ~ perp(sK26,sK25,sK20,sK21)
| perp(sK20,sK21,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2386,plain,
( ~ coll(sK25,sK23,sK24)
| coll(sK25,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2388,plain,
( ~ coll(sK25,sK23,X0)
| ~ coll(sK25,sK23,sK24)
| coll(X0,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2391,plain,
( ~ midp(sK24,sK22,sK21)
| coll(sK24,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_2424,plain,
( ~ circle(sK28,sK26,sK24,sK27)
| perp(sK11(sK26,sK24,sK27,sK28),sK26,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_2593,plain,
( ~ coll(sK27,sK23,sK24)
| coll(sK24,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_2366]) ).
cnf(c_2594,plain,
( ~ coll(sK26,sK20,sK21)
| coll(sK21,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_2376]) ).
cnf(c_2595,plain,
( ~ coll(sK25,sK23,sK24)
| coll(sK24,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_2388]) ).
cnf(c_2599,plain,
( ~ perp(X0,X1,sK23,sK24)
| ~ perp(sK23,sK24,sK27,sK20)
| para(X0,X1,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2608,plain,
( ~ perp(sK27,sK20,sK24,sK23)
| perp(sK24,sK23,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2610,plain,
( ~ perp(X0,X1,sK27,sK20)
| ~ perp(sK27,sK20,sK24,sK23)
| para(X0,X1,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2619,plain,
( ~ coll(sK20,sK26,sK21)
| coll(sK20,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2621,plain,
( ~ coll(sK20,sK26,X0)
| ~ coll(sK20,sK26,sK21)
| coll(X0,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2622,plain,
( ~ coll(sK20,sK26,sK20)
| ~ coll(sK20,sK26,sK21)
| coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_2621]) ).
cnf(c_2626,plain,
( ~ coll(sK26,sK21,sK20)
| coll(sK21,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2629,plain,
( ~ coll(sK26,sK21,X0)
| ~ coll(sK26,sK21,sK20)
| coll(X0,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2630,plain,
( ~ coll(sK26,sK21,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_2629]) ).
cnf(c_2635,plain,
( ~ perp(sK20,sK21,sK26,sK25)
| perp(sK20,sK21,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_2636,plain,
( ~ perp(X0,X1,sK20,sK21)
| ~ perp(sK20,sK21,sK26,sK25)
| para(X0,X1,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2712,plain,
( ~ perp(sK11(sK26,sK24,sK27,sK28),sK26,sK26,sK28)
| perp(sK11(sK26,sK24,sK27,sK28),sK26,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_2861,plain,
( ~ perp(sK27,sK20,sK23,sK24)
| ~ perp(sK23,sK24,sK27,sK20)
| para(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_2599]) ).
cnf(c_2899,plain,
( ~ perp(sK24,sK23,sK27,sK20)
| ~ perp(sK27,sK20,sK24,sK23)
| para(sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_2610]) ).
cnf(c_2900,plain,
( ~ coll(sK20,sK21,sK26)
| coll(sK21,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2908,plain,
( ~ coll(sK20,sK26,sK21)
| coll(sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_2621]) ).
cnf(c_2912,plain,
( ~ coll(sK21,sK26,X0)
| ~ coll(sK21,sK26,sK20)
| coll(X0,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2913,plain,
( ~ coll(sK21,sK26,sK20)
| coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_2912]) ).
cnf(c_2918,plain,
( ~ coll(X0,sK20,sK26)
| coll(X0,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2919,plain,
( ~ coll(sK20,sK20,sK26)
| coll(sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_2918]) ).
cnf(c_2925,plain,
( ~ coll(sK26,sK21,sK26)
| ~ coll(sK26,sK21,sK20)
| coll(sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_2629]) ).
cnf(c_2930,plain,
( ~ perp(sK20,sK21,sK25,sK26)
| perp(sK25,sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2940,plain,
( ~ perp(sK26,sK25,sK20,sK21)
| ~ perp(sK20,sK21,sK26,sK25)
| para(sK26,sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_2636]) ).
cnf(c_3340,plain,
( ~ coll(sK20,sK26,X0)
| ~ coll(sK20,sK26,sK21)
| coll(X0,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3377,plain,
( ~ coll(sK24,sK22,X0)
| ~ coll(sK24,sK22,sK21)
| coll(X0,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3478,plain,
( ~ coll(sK24,sK24,X0)
| ~ coll(sK24,sK24,sK27)
| coll(X0,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3483,plain,
( ~ coll(sK21,sK21,X0)
| ~ coll(sK21,sK21,sK26)
| coll(X0,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3528,plain,
( ~ coll(sK20,sK21,X0)
| ~ coll(sK20,sK21,sK26)
| coll(X0,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3531,plain,
( ~ coll(X0,sK21,sK20)
| coll(X0,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3535,plain,
( ~ coll(X0,sK21,X1)
| ~ coll(X0,sK21,sK20)
| coll(X1,sK20,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3536,plain,
( ~ coll(sK20,sK21,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3535]) ).
cnf(c_3554,plain,
( ~ coll(sK26,X0,sK20)
| coll(sK26,sK20,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3555,plain,
( ~ coll(sK25,X0,sK23)
| coll(sK25,sK23,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3556,plain,
( ~ coll(sK25,sK20,sK23)
| coll(sK25,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_3555]) ).
cnf(c_3558,plain,
( ~ coll(sK23,X0,sK27)
| coll(sK23,sK27,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3559,plain,
( ~ coll(sK23,sK20,sK27)
| coll(sK23,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_3558]) ).
cnf(c_3564,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK26,sK20,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_3576,plain,
( ~ coll(X0,X1,sK26)
| ~ coll(X0,X1,sK20)
| coll(sK26,sK20,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3578,plain,
( ~ coll(X0,X1,sK25)
| ~ coll(X0,X1,sK23)
| coll(sK25,sK23,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3582,plain,
( ~ coll(X0,X1,sK27)
| ~ coll(X0,X1,sK23)
| coll(sK23,sK27,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3584,plain,
( ~ coll(X0,X1,sK24)
| ~ coll(X0,X1,sK27)
| coll(sK27,sK24,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3585,plain,
( ~ coll(sK20,sK20,sK24)
| ~ coll(sK20,sK20,sK27)
| coll(sK27,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_3584]) ).
cnf(c_3711,plain,
( ~ perp(X0,X1,sK20,sK21)
| ~ perp(sK20,sK21,sK25,sK26)
| para(X0,X1,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_3757,plain,
( ~ coll(sK25,X0,sK24)
| coll(sK25,sK24,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3778,plain,
( ~ coll(sK24,sK22,sK21)
| coll(sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_3377]) ).
cnf(c_3846,plain,
( ~ perp(sK11(sK26,sK24,sK27,sK28),sK26,sK28,sK26)
| perp(sK28,sK26,sK11(sK26,sK24,sK27,sK28),sK26) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_3848,plain,
( ~ perp(X0,X1,sK11(sK26,sK24,sK27,sK28),sK26)
| ~ perp(sK11(sK26,sK24,sK27,sK28),sK26,sK28,sK26)
| para(X0,X1,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_4229,plain,
( ~ coll(sK20,sK26,sK28)
| ~ coll(sK20,sK26,sK21)
| coll(sK28,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_3340]) ).
cnf(c_4258,plain,
( ~ coll(sK23,X0,X1)
| coll(sK23,X1,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_4261,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK23)
| coll(sK23,X2,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_4262,plain,
( ~ coll(sK20,sK20,sK23)
| ~ coll(sK20,sK20,sK20)
| coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4261]) ).
cnf(c_4376,plain,
( ~ para(sK27,sK20,sK27,sK20)
| coll(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_4401,plain,
( ~ para(sK26,sK25,sK26,sK25)
| coll(sK26,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_4522,plain,
( ~ coll(sK21,X0,X1)
| ~ coll(sK21,X0,sK24)
| coll(X1,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_4609,plain,
( ~ coll(sK24,sK24,sK25)
| ~ coll(sK24,sK24,sK27)
| coll(sK25,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_3478]) ).
cnf(c_4733,plain,
( ~ para(sK24,sK23,sK24,sK23)
| eqangle(sK24,sK23,X0,X1,sK24,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_4739,plain,
( ~ para(sK24,sK23,sK24,sK23)
| eqangle(sK24,sK23,sK20,sK20,sK24,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4733]) ).
cnf(c_4747,plain,
( ~ eqangle(X0,X1,X2,X3,sK24,sK23,sK24,sK23)
| ~ para(sK24,sK23,sK24,sK23)
| para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_4748,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK24,sK23,sK24,sK23)
| ~ para(sK24,sK23,sK24,sK23)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4747]) ).
cnf(c_4761,plain,
( ~ coll(sK20,sK21,sK26)
| ~ coll(sK20,sK21,sK23)
| coll(sK23,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_3528]) ).
cnf(c_4772,plain,
( ~ coll(sK23,sK21,sK20)
| coll(sK23,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_3531]) ).
cnf(c_4808,plain,
( ~ coll(sK26,sK26,sK21)
| coll(sK26,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_4849,plain,
( ~ coll(sK23,X0,X1)
| ~ coll(sK23,X0,sK25)
| coll(sK25,X1,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_5148,plain,
( ~ coll(sK27,X0,X1)
| ~ coll(sK27,X0,X2)
| coll(X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_5149,plain,
( ~ coll(sK27,sK20,sK20)
| coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_5148]) ).
cnf(c_5154,plain,
( ~ coll(sK26,sK27,sK20)
| coll(sK26,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_3554]) ).
cnf(c_5168,plain,
( ~ coll(sK23,X0,X1)
| ~ coll(sK23,X0,X2)
| coll(X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_5183,plain,
( ~ coll(X0,X1,sK25)
| coll(X1,X0,sK25) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_5184,plain,
( ~ coll(sK25,X0,X1)
| ~ coll(sK25,X0,X2)
| coll(X1,X2,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_5189,plain,
( ~ coll(sK25,X0,sK26)
| ~ coll(sK25,X0,sK20)
| coll(sK26,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_3576]) ).
cnf(c_5224,plain,
( ~ coll(sK26,sK20,sK27)
| ~ coll(sK26,sK20,sK23)
| coll(sK23,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_3582]) ).
cnf(c_5225,plain,
( ~ coll(sK23,X0,sK26)
| ~ coll(sK23,X0,sK20)
| coll(sK26,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_3576]) ).
cnf(c_5228,plain,
( ~ coll(sK23,sK20,sK26)
| ~ coll(sK23,sK20,sK20)
| coll(sK26,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_5225]) ).
cnf(c_5229,plain,
( ~ coll(sK25,sK24,sK27)
| ~ coll(sK25,sK24,sK23)
| coll(sK23,sK27,sK25) ),
inference(instantiation,[status(thm)],[c_3582]) ).
cnf(c_5258,plain,
( ~ coll(sK24,sK21,X0)
| ~ coll(sK24,sK21,sK20)
| coll(X0,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_3535]) ).
cnf(c_5259,plain,
( ~ coll(sK24,sK21,sK20)
| coll(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_5258]) ).
cnf(c_5342,plain,
( ~ perp(sK25,sK26,sK20,sK21)
| ~ perp(sK20,sK21,sK25,sK26)
| para(sK25,sK26,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_3711]) ).
cnf(c_5824,plain,
( ~ perp(sK11(sK26,sK24,sK27,sK28),sK26,sK28,sK26)
| ~ perp(sK28,sK26,sK11(sK26,sK24,sK27,sK28),sK26)
| para(sK28,sK26,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_3848]) ).
cnf(c_6189,plain,
( ~ coll(sK28,X0,X1)
| coll(X0,sK28,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_6563,plain,
( ~ coll(X0,sK28,X1)
| coll(X0,X1,sK28) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_6566,plain,
( ~ coll(sK28,X0,X1)
| ~ coll(sK28,X0,X2)
| coll(X1,X2,sK28) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_6572,plain,
( ~ coll(sK20,sK26,sK28)
| coll(sK26,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_3564]) ).
cnf(c_6577,plain,
( ~ coll(sK28,sK21,X0)
| ~ coll(sK28,sK21,sK20)
| coll(X0,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_3535]) ).
cnf(c_6578,plain,
( ~ coll(sK28,sK21,sK20)
| coll(sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_6577]) ).
cnf(c_6645,plain,
( ~ coll(sK27,sK24,X0)
| ~ coll(sK27,sK24,sK23)
| coll(sK23,X0,sK27) ),
inference(instantiation,[status(thm)],[c_4261]) ).
cnf(c_6646,plain,
( ~ coll(sK27,sK24,sK23)
| ~ coll(sK27,sK24,sK20)
| coll(sK23,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_6645]) ).
cnf(c_6874,plain,
( ~ coll(sK26,sK25,sK25)
| ~ coll(sK26,sK25,sK23)
| coll(sK25,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_3578]) ).
cnf(c_6942,plain,
( ~ coll(X0,sK24,sK21)
| coll(sK24,X0,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_6943,plain,
( ~ coll(sK20,sK24,sK21)
| coll(sK24,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6942]) ).
cnf(c_6962,plain,
( ~ coll(sK21,sK21,X0)
| ~ coll(sK21,sK21,sK24)
| coll(X0,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_4522]) ).
cnf(c_6963,plain,
( ~ coll(sK21,sK21,sK24)
| ~ coll(sK21,sK21,sK20)
| coll(sK20,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_6962]) ).
cnf(c_7369,plain,
( ~ coll(sK25,sK27,sK24)
| coll(sK25,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_3757]) ).
cnf(c_7738,plain,
( ~ coll(sK21,X0,sK26)
| coll(sK26,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_7739,plain,
( ~ coll(sK21,sK20,sK26)
| coll(sK26,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_7738]) ).
cnf(c_7965,plain,
( ~ eqangle(sK24,sK23,X0,X1,sK24,sK23,X0,X1)
| eqangle(sK24,sK23,sK24,sK23,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_7972,plain,
( ~ eqangle(sK24,sK23,sK20,sK20,sK24,sK23,sK20,sK20)
| eqangle(sK24,sK23,sK24,sK23,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7965]) ).
cnf(c_8058,plain,
( ~ coll(sK26,sK20,sK26)
| coll(sK26,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_8346,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK27)
| coll(X2,sK27,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_8862,plain,
( ~ coll(sK23,sK27,X0)
| ~ coll(sK23,sK27,X1)
| coll(X0,X1,sK23) ),
inference(instantiation,[status(thm)],[c_5168]) ).
cnf(c_8863,plain,
( ~ coll(sK23,sK27,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_8862]) ).
cnf(c_8948,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK25)
| coll(sK25,X2,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_8949,plain,
( ~ coll(sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK20)
| coll(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8948]) ).
cnf(c_8964,plain,
( ~ coll(sK25,sK26,X0)
| ~ coll(sK25,sK26,sK21)
| coll(X0,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_5184]) ).
cnf(c_8965,plain,
( ~ coll(sK21,sK21,sK25)
| ~ coll(sK21,sK21,sK26)
| coll(sK25,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_3483]) ).
cnf(c_8972,plain,
( ~ coll(sK25,sK21,sK20)
| coll(sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_3531]) ).
cnf(c_8997,plain,
( ~ coll(sK26,sK20,sK25)
| coll(sK20,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_5183]) ).
cnf(c_9035,plain,
( ~ coll(sK20,sK26,sK25)
| ~ coll(sK20,sK26,sK21)
| coll(sK25,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_3340]) ).
cnf(c_9126,plain,
( ~ coll(sK24,X0,sK21)
| coll(sK24,sK21,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_9127,plain,
( ~ coll(sK24,sK20,sK21)
| coll(sK24,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_9126]) ).
cnf(c_9433,plain,
( ~ coll(sK23,sK27,X0)
| ~ coll(sK23,sK27,sK25)
| coll(sK25,X0,sK23) ),
inference(instantiation,[status(thm)],[c_4849]) ).
cnf(c_9435,plain,
( ~ coll(sK23,sK27,sK25)
| ~ coll(sK23,sK27,sK20)
| coll(sK25,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_9433]) ).
cnf(c_10149,plain,
( ~ coll(sK25,sK23,X0)
| ~ coll(sK25,sK23,X1)
| coll(X0,X1,sK25) ),
inference(instantiation,[status(thm)],[c_5184]) ).
cnf(c_10150,plain,
( ~ coll(sK25,sK23,sK20)
| coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_10149]) ).
cnf(c_10383,plain,
( ~ coll(sK20,X0,sK23)
| ~ coll(sK20,X0,sK21)
| coll(sK23,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_4261]) ).
cnf(c_10384,plain,
( ~ coll(sK20,sK20,sK23)
| ~ coll(sK20,sK20,sK21)
| coll(sK23,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_10383]) ).
cnf(c_10681,plain,
( ~ coll(sK23,X0,sK20)
| ~ coll(sK23,X0,sK21)
| coll(sK20,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_5168]) ).
cnf(c_10682,plain,
( ~ coll(sK23,sK20,sK20)
| ~ coll(sK23,sK20,sK21)
| coll(sK20,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_10681]) ).
cnf(c_10731,plain,
( ~ coll(sK23,sK26,X0)
| coll(sK23,X0,sK26) ),
inference(instantiation,[status(thm)],[c_4258]) ).
cnf(c_10732,plain,
( ~ coll(sK23,sK26,sK20)
| coll(sK23,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_10731]) ).
cnf(c_11298,plain,
( ~ para(sK25,sK26,sK25,sK26)
| ~ midp(X0,sK25,sK25)
| midp(X0,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_11299,plain,
( ~ para(sK25,sK26,sK25,sK26)
| ~ midp(sK20,sK25,sK25)
| midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_11298]) ).
cnf(c_11651,plain,
( ~ coll(sK25,X0,sK25)
| coll(X0,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_5183]) ).
cnf(c_11652,plain,
( ~ coll(sK25,sK20,sK25)
| coll(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_11651]) ).
cnf(c_12066,plain,
( ~ coll(sK25,sK23,sK26)
| ~ coll(sK25,sK23,sK20)
| coll(sK26,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_5189]) ).
cnf(c_12297,plain,
( ~ para(sK28,sK26,sK28,sK26)
| coll(sK28,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_12514,plain,
( ~ eqangle(sK24,sK23,sK24,sK23,X0,X1,X0,X1)
| eqangle(X0,X1,X0,X1,sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_12520,plain,
( ~ eqangle(sK24,sK23,sK24,sK23,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_12514]) ).
cnf(c_14198,plain,
( ~ circle(X0,sK25,sK26,sK28)
| ~ coll(X0,sK25,sK28)
| perp(sK25,sK26,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_14199,plain,
( ~ circle(sK20,sK25,sK26,sK28)
| ~ coll(sK20,sK25,sK28)
| perp(sK25,sK26,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_14198]) ).
cnf(c_15983,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK20,sK25,X0,X1)
| para(sK20,sK25,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_15985,plain,
( ~ perp(sK20,sK25,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_15983]) ).
cnf(c_17010,plain,
( ~ cong(X0,sK20,X0,sK25)
| ~ coll(X0,sK20,sK25)
| midp(X0,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_17011,plain,
( ~ cong(sK20,sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK25)
| midp(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_17010]) ).
cnf(c_17042,plain,
( ~ midp(X0,sK26,sK26)
| cong(X0,sK26,X0,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_17045,plain,
( ~ midp(sK20,sK26,sK26)
| cong(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_17042]) ).
cnf(c_17504,plain,
( ~ coll(sK28,sK26,sK26)
| coll(sK26,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_6189]) ).
cnf(c_17518,plain,
( ~ coll(sK28,sK26,X0)
| ~ coll(sK28,sK26,sK26)
| coll(X0,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_6566]) ).
cnf(c_17520,plain,
( ~ coll(sK28,sK26,sK26)
| ~ coll(sK28,sK26,sK20)
| coll(sK20,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_17518]) ).
cnf(c_21860,plain,
( ~ coll(sK26,sK28,sK26)
| coll(sK26,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_6563]) ).
cnf(c_22241,plain,
( ~ midp(X0,X1,sK26)
| midp(X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_22242,plain,
( ~ midp(sK20,sK20,sK26)
| midp(sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_22241]) ).
cnf(c_22976,plain,
( ~ coll(sK20,X0,sK26)
| ~ coll(sK20,X0,sK27)
| coll(sK26,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_8346]) ).
cnf(c_22977,plain,
( ~ coll(sK20,sK20,sK26)
| ~ coll(sK20,sK20,sK27)
| coll(sK26,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_22976]) ).
cnf(c_24295,plain,
( ~ coll(sK23,sK27,sK25)
| ~ coll(sK23,sK27,sK26)
| coll(sK26,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_8862]) ).
cnf(c_25422,plain,
( ~ coll(sK25,sK26,sK28)
| ~ coll(sK25,sK26,sK21)
| coll(sK28,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_8964]) ).
cnf(c_25423,plain,
( ~ coll(sK28,sK21,X0)
| ~ coll(sK28,sK21,sK25)
| coll(X0,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_6566]) ).
cnf(c_25424,plain,
( ~ coll(sK28,sK21,sK25)
| ~ coll(sK28,sK21,sK20)
| coll(sK20,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_25423]) ).
cnf(c_25441,plain,
( ~ coll(sK25,X0,sK21)
| coll(sK21,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_5184]) ).
cnf(c_25442,plain,
( ~ coll(sK25,sK20,sK21)
| coll(sK21,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_25441]) ).
cnf(c_25726,plain,
( ~ cong(X0,sK25,X0,sK26)
| ~ cong(X0,sK25,X0,sK28)
| circle(X0,sK25,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_25727,plain,
( ~ cong(sK20,sK25,sK20,sK26)
| ~ cong(sK20,sK25,sK20,sK28)
| circle(sK20,sK25,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_25726]) ).
cnf(c_26178,plain,
( ~ cong(X0,sK25,X1,X2)
| ~ cong(X1,X2,X0,sK28)
| cong(X0,sK25,X0,sK28) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_26179,plain,
( ~ cong(sK20,sK25,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK28)
| cong(sK20,sK25,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_26178]) ).
cnf(c_26497,plain,
( ~ cong(X0,sK25,X0,X1)
| ~ coll(X0,sK25,X1)
| midp(X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_26499,plain,
( ~ midp(X0,X1,sK25)
| midp(X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_26504,plain,
( ~ para(X0,X1,X2,sK25)
| ~ para(X0,sK25,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK25,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_27067,plain,
( ~ para(X0,X1,X2,sK26)
| ~ midp(X0,X3,X2)
| ~ coll(X1,X3,sK26)
| midp(X1,X3,sK26) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_27068,plain,
( ~ para(sK20,sK20,sK20,sK26)
| ~ coll(sK20,sK20,sK26)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_27067]) ).
cnf(c_28197,plain,
( ~ coll(sK26,X0,sK25)
| ~ coll(sK26,X0,sK28)
| coll(sK25,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_28198,plain,
( ~ coll(sK26,sK20,sK25)
| ~ coll(sK26,sK20,sK28)
| coll(sK25,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_28197]) ).
cnf(c_28303,plain,
( ~ coll(sK26,X0,X1)
| ~ coll(sK26,X0,sK28)
| coll(sK28,X1,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_29284,plain,
( ~ cong(X0,X1,sK28,X2)
| cong(X0,X1,X2,sK28) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_29285,plain,
( ~ cong(sK20,sK20,sK28,sK20)
| cong(sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_29284]) ).
cnf(c_29698,plain,
( ~ perp(X0,sK25,X1,sK25)
| perp(X0,sK25,sK25,X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_29699,plain,
( ~ perp(sK20,sK25,sK20,sK25)
| perp(sK20,sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_29698]) ).
cnf(c_30104,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK28,X0,X1,X0,sK28) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_30106,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK28,sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_30104]) ).
cnf(c_30274,plain,
( ~ cong(X0,X1,X0,sK25)
| cong(X0,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_30275,plain,
( ~ cong(sK20,sK20,sK20,sK25)
| cong(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_30274]) ).
cnf(c_30279,plain,
( ~ cong(X0,sK25,X0,sK25)
| ~ coll(X0,sK25,sK25)
| midp(X0,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_26497]) ).
cnf(c_30281,plain,
( ~ cong(sK20,sK25,sK20,sK25)
| ~ coll(sK20,sK25,sK25)
| midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_30279]) ).
cnf(c_30298,plain,
( ~ midp(X0,sK25,X1)
| midp(X0,X1,sK25) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_30299,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_30383,plain,
( ~ cong(X0,X1,sK25,X0)
| cong(X0,X1,X0,sK25) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_30384,plain,
( ~ cong(sK20,sK20,sK25,sK20)
| cong(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_30383]) ).
cnf(c_31426,plain,
( ~ eqangle(X0,sK28,sK28,X1,X2,X3,X4,X5)
| ~ perp(X2,X3,X4,X5)
| perp(X0,sK28,sK28,X1) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_31427,plain,
( ~ eqangle(sK20,sK28,sK28,sK20,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK28,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_31426]) ).
cnf(c_31677,plain,
( ~ midp(X0,X1,sK26)
| cong(X0,X1,X0,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_31718,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,sK26)
| para(X0,X1,X4,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_31719,plain,
( ~ perp(sK20,sK20,sK20,sK26)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_31718]) ).
cnf(c_32988,plain,
( ~ coll(sK25,sK28,sK26)
| coll(sK25,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_33492,plain,
( ~ coll(sK28,X0,sK26)
| coll(sK28,sK26,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_33493,plain,
( ~ coll(sK28,sK20,sK26)
| coll(sK28,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_33492]) ).
cnf(c_33608,plain,
( ~ coll(sK26,sK26,X0)
| ~ coll(sK26,sK26,sK28)
| coll(sK28,X0,sK26) ),
inference(instantiation,[status(thm)],[c_28303]) ).
cnf(c_33609,plain,
( ~ coll(sK26,sK26,sK28)
| ~ coll(sK26,sK26,sK20)
| coll(sK28,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_33608]) ).
cnf(c_34254,plain,
( ~ eqangle(sK28,X0,X1,X2,X3,X4,X5,X6)
| eqangle(X0,sK28,X1,X2,X3,X4,X5,X6) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_34749,plain,
( ~ eqangle(X0,sK25,X1,sK25,X2,X3,X4,X5)
| ~ perp(X2,X3,X4,X5)
| perp(X0,sK25,X1,sK25) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_34750,plain,
( ~ eqangle(sK20,sK25,sK20,sK25,sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_34749]) ).
cnf(c_34839,plain,
( ~ cong(X0,sK25,X1,X2)
| ~ cong(X1,X2,X3,sK25)
| cong(X0,sK25,X3,sK25) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_34840,plain,
( ~ cong(sK20,sK25,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK25)
| cong(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_34839]) ).
cnf(c_34858,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X1,sK25,X2,X3,X1,sK25) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_34859,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_34858]) ).
cnf(c_34893,plain,
( ~ cong(X0,X0,sK25,X0)
| ~ cong(X0,X1,sK25,X1)
| perp(X0,sK25,X1,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_34894,plain,
( ~ cong(sK20,sK20,sK25,sK20)
| perp(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_34893]) ).
cnf(c_35499,plain,
( ~ cong(X0,X0,X1,X0)
| ~ cong(X0,sK26,X1,sK26)
| perp(X0,X1,X0,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_35500,plain,
( ~ cong(sK20,sK26,sK20,sK26)
| ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_35499]) ).
cnf(c_35733,plain,
( ~ midp(sK25,X0,sK25)
| coll(sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_35736,plain,
( ~ midp(sK25,sK20,sK25)
| coll(sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_35733]) ).
cnf(c_36407,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_36408,plain,
( ~ para(sK20,sK25,sK20,sK20)
| ~ coll(sK25,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| midp(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_36407]) ).
cnf(c_36497,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,sK25)
| para(X0,X3,X2,sK25) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_36498,plain,
( ~ midp(sK20,sK20,sK25)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_36497]) ).
cnf(c_37188,plain,
( ~ cyclic(X0,sK28,X1,X2)
| cyclic(X0,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_37189,plain,
( ~ cyclic(sK20,sK28,sK20,sK20)
| cyclic(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_37188]) ).
cnf(c_38289,plain,
( ~ eqangle(X0,X1,X0,sK28,X2,X1,X2,sK28)
| ~ coll(X0,X2,sK28)
| cyclic(X1,sK28,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_38292,plain,
( ~ eqangle(sK20,sK20,sK20,sK28,sK20,sK20,sK20,sK28)
| ~ coll(sK20,sK20,sK28)
| cyclic(sK20,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_38289]) ).
cnf(c_39386,plain,
( ~ eqangle(sK28,X0,sK28,X1,X2,X0,X2,X1)
| eqangle(X0,sK28,sK28,X1,X2,X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_34254]) ).
cnf(c_39387,plain,
( ~ cyclic(X0,X1,sK28,X2)
| eqangle(sK28,X0,sK28,X1,X2,X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_39388,plain,
( ~ eqangle(sK28,sK20,sK28,sK20,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK28,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39386]) ).
cnf(c_39389,plain,
( ~ cyclic(sK20,sK20,sK28,sK20)
| eqangle(sK28,sK20,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39387]) ).
cnf(c_44077,plain,
( ~ eqangle(X0,sK25,X1,X2,X3,sK25,X4,X5)
| eqangle(X0,sK25,X3,sK25,X1,X2,X4,X5) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_44078,plain,
( ~ eqangle(sK20,sK25,sK20,sK20,sK20,sK25,sK20,sK20)
| eqangle(sK20,sK25,sK20,sK25,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_44077]) ).
cnf(c_44281,plain,
( ~ eqangle(X0,X1,X0,sK25,X2,X1,X2,sK25)
| eqangle(X0,sK25,X0,X1,X2,sK25,X2,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_44282,plain,
( ~ eqangle(sK20,sK20,sK20,sK25,sK20,sK20,sK20,sK25)
| eqangle(sK20,sK25,sK20,sK20,sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_44281]) ).
cnf(c_44874,plain,
( ~ perp(X0,sK25,sK25,X1)
| ~ midp(X2,X0,X1)
| cong(X0,X2,sK25,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_44875,plain,
( ~ perp(sK20,sK25,sK25,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK20,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_44874]) ).
cnf(c_45385,plain,
( ~ perp(X0,sK28,sK28,X1)
| ~ midp(X2,X0,X1)
| cong(X0,X2,sK28,X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_45386,plain,
( ~ perp(sK20,sK28,sK28,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_45385]) ).
cnf(c_48572,plain,
( ~ midp(X0,sK25,sK26)
| cong(X0,sK25,X0,sK26) ),
inference(instantiation,[status(thm)],[c_31677]) ).
cnf(c_48580,plain,
( ~ midp(sK20,sK25,sK26)
| cong(sK20,sK25,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_48572]) ).
cnf(c_48707,plain,
( ~ midp(X0,sK26,sK25)
| midp(X0,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_26499]) ).
cnf(c_48709,plain,
( ~ midp(sK20,sK26,sK25)
| midp(sK20,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_48707]) ).
cnf(c_54925,plain,
( ~ para(X0,X1,X2,sK25)
| ~ midp(X0,sK26,X2)
| ~ coll(X1,sK26,sK25)
| midp(X1,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_30299]) ).
cnf(c_54926,plain,
( ~ para(sK20,sK20,sK20,sK25)
| ~ coll(sK20,sK26,sK25)
| ~ midp(sK20,sK26,sK20)
| midp(sK20,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_54925]) ).
cnf(c_55275,plain,
( ~ para(X0,X1,X2,sK25)
| ~ para(X0,sK25,X2,X1)
| ~ midp(sK25,X0,X2)
| midp(sK25,sK25,X1) ),
inference(instantiation,[status(thm)],[c_26504]) ).
cnf(c_55276,plain,
( ~ para(sK20,sK25,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK25)
| ~ midp(sK25,sK20,sK20)
| midp(sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_55275]) ).
cnf(c_65698,plain,
( ~ midp(sK25,sK25,X0)
| midp(sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_30298]) ).
cnf(c_65701,plain,
( ~ midp(sK25,sK25,sK20)
| midp(sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_65698]) ).
cnf(c_65702,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_65701,c_55276,c_54926,c_48709,c_48580,c_45386,c_44875,c_44282,c_44078,c_39389,c_39388,c_38292,c_37189,c_36498,c_36408,c_35736,c_35500,c_34894,c_34859,c_34840,c_34750,c_33609,c_33493,c_32988,c_31719,c_31427,c_30384,c_30281,c_30275,c_30106,c_29699,c_29285,c_28198,c_27068,c_26179,c_25727,c_25442,c_25424,c_25422,c_24295,c_22977,c_22242,c_21860,c_17520,c_17504,c_17045,c_17011,c_15985,c_14199,c_12520,c_12297,c_12066,c_11652,c_11299,c_10732,c_10682,c_10384,c_10150,c_9435,c_9127,c_9035,c_8997,c_8972,c_8965,c_8949,c_8863,c_8058,c_7972,c_7739,c_7369,c_6963,c_6943,c_6874,c_6646,c_6578,c_6572,c_5824,c_5342,c_5259,c_5229,c_5228,c_5224,c_5154,c_5149,c_4808,c_4772,c_4761,c_4748,c_4739,c_4609,c_4401,c_4376,c_4262,c_4229,c_3846,c_3778,c_3585,c_3559,c_3556,c_3536,c_2940,c_2930,c_2925,c_2919,c_2913,c_2908,c_2900,c_2899,c_2861,c_2712,c_2635,c_2630,c_2626,c_2622,c_2619,c_2608,c_2595,c_2594,c_2593,c_2424,c_2391,c_2386,c_2379,c_2373,c_2374,c_2369,c_2370,c_2364,c_235,c_202,c_186,c_181,c_177,c_162,c_163,c_165,c_167,c_164,c_166,c_169,c_170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO614+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:47:21 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 83.81/12.20 % SZS status Started for theBenchmark.p
% 83.81/12.20 % SZS status Theorem for theBenchmark.p
% 83.81/12.20
% 83.81/12.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 83.81/12.20
% 83.81/12.20 ------ iProver source info
% 83.81/12.20
% 83.81/12.20 git: date: 2024-05-02 19:28:25 +0000
% 83.81/12.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 83.81/12.20 git: non_committed_changes: false
% 83.81/12.20
% 83.81/12.20 ------ Parsing...
% 83.81/12.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 83.81/12.20
% 83.81/12.20 ------ Preprocessing...
% 83.81/12.20
% 83.81/12.20 ------ Preprocessing...
% 83.81/12.20
% 83.81/12.20 ------ Preprocessing...
% 83.81/12.20 ------ Proving...
% 83.81/12.20 ------ Problem Properties
% 83.81/12.20
% 83.81/12.20
% 83.81/12.20 clauses 122
% 83.81/12.20 conjectures 10
% 83.81/12.20 EPR 85
% 83.81/12.20 Horn 112
% 83.81/12.20 unary 10
% 83.81/12.20 binary 37
% 83.81/12.20 lits 338
% 83.81/12.20 lits eq 4
% 83.81/12.20 fd_pure 0
% 83.81/12.20 fd_pseudo 0
% 83.81/12.20 fd_cond 0
% 83.81/12.20 fd_pseudo_cond 4
% 83.81/12.20 AC symbols 0
% 83.81/12.20
% 83.81/12.20 ------ Input Options Time Limit: Unbounded
% 83.81/12.20
% 83.81/12.20
% 83.81/12.20 ------
% 83.81/12.20 Current options:
% 83.81/12.20 ------
% 83.81/12.20
% 83.81/12.20
% 83.81/12.20
% 83.81/12.20
% 83.81/12.20 ------ Proving...
% 83.81/12.20
% 83.81/12.20
% 83.81/12.20 % SZS status Theorem for theBenchmark.p
% 83.81/12.20
% 83.81/12.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 83.81/12.20
% 83.81/12.21
%------------------------------------------------------------------------------