TSTP Solution File: GEO609+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO609+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 02:18:02 EDT 2024
% Result : Theorem 20.69s 3.74s
% Output : CNFRefutation 20.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 36
% Syntax : Number of formulae : 471 ( 111 unt; 0 def)
% Number of atoms : 1084 ( 8 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1091 ( 478 ~; 469 |; 89 &)
% ( 0 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 987 ( 0 sgn 675 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD12) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD45) ).
fof(f50,axiom,
! [X0,X1,X2,X7,X15] :
( ( eqangle(X0,X15,X0,X1,X2,X0,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X7,X0,X0,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD49) ).
fof(f51,axiom,
! [X0,X1,X2,X7,X6] :
( ( midp(X6,X1,X2)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X7,X1,X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD50) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD63) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
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/sandbox2/benchmark/theBenchmark.p',ruleD73) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X4,X5,X12,X18] :
( ( coll(X12,X0,X2)
& perp(X12,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X7,X0,X4,X18)
& para(X1,X2,X4,X0)
& circle(X7,X0,X1,X2) )
=> para(X5,X12,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618071) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X4,X5,X12,X18] :
( ( coll(X12,X0,X2)
& perp(X12,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X7,X0,X4,X18)
& para(X1,X2,X4,X0)
& circle(X7,X0,X1,X2) )
=> para(X5,X12,X0,X7) ),
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(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(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(f129,plain,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
inference(rectify,[],[f50]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(rectify,[],[f51]) ).
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(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(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] :
( ( coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X7)
& para(X1,X2,X4,X0)
& circle(X3,X0,X1,X2) )
=> para(X5,X6,X0,X3) ),
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(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(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(f236,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f129]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f130]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f238]) ).
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(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(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(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] :
( ~ para(X5,X6,X0,X3)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X7)
& para(X1,X2,X4,X0)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X5,X6,X0,X3)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X7)
& para(X1,X2,X4,X0)
& 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] :
( ~ para(X5,X6,X0,X3)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X7)
& para(X1,X2,X4,X0)
& circle(X3,X0,X1,X2) )
=> ( ~ para(sK25,sK26,sK20,sK23)
& coll(sK26,sK20,sK22)
& perp(sK26,sK24,sK20,sK22)
& coll(sK25,sK20,sK21)
& perp(sK25,sK24,sK20,sK21)
& circle(sK23,sK20,sK24,sK27)
& para(sK21,sK22,sK24,sK20)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ para(sK25,sK26,sK20,sK23)
& coll(sK26,sK20,sK22)
& perp(sK26,sK24,sK20,sK22)
& coll(sK25,sK20,sK21)
& perp(sK25,sK24,sK20,sK21)
& circle(sK23,sK20,sK24,sK27)
& para(sK21,sK22,sK24,sK20)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[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(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(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(f409,plain,
! [X2,X3,X0,X1,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f237]) ).
fof(f410,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
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(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(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(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(f474,plain,
para(sK21,sK22,sK24,sK20),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
circle(sK23,sK20,sK24,sK27),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
perp(sK25,sK24,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
perp(sK26,sK24,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
~ para(sK25,sK26,sK20,sK23),
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_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_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_98,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2)
| ~ circle(X4,X0,X2,X3)
| perp(X4,X0,X0,X1) ),
inference(cnf_transformation,[],[f409]) ).
cnf(c_99,plain,
( ~ circle(X0,X1,X2,X3)
| ~ midp(X4,X2,X3)
| eqangle(X1,X2,X1,X3,X0,X2,X0,X4) ),
inference(cnf_transformation,[],[f410]) ).
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_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_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_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,
~ para(sK25,sK26,sK20,sK23),
inference(cnf_transformation,[],[f480]) ).
cnf(c_163,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f479]) ).
cnf(c_164,negated_conjecture,
perp(sK26,sK24,sK20,sK22),
inference(cnf_transformation,[],[f478]) ).
cnf(c_165,negated_conjecture,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f477]) ).
cnf(c_166,negated_conjecture,
perp(sK25,sK24,sK20,sK21),
inference(cnf_transformation,[],[f476]) ).
cnf(c_167,negated_conjecture,
circle(sK23,sK20,sK24,sK27),
inference(cnf_transformation,[],[f475]) ).
cnf(c_168,negated_conjecture,
para(sK21,sK22,sK24,sK20),
inference(cnf_transformation,[],[f474]) ).
cnf(c_169,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f473]) ).
cnf(c_175,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_179,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_184,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_233,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_1833,plain,
( X0 != sK20
| X1 != sK21
| X2 != sK22
| X3 != sK23
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| perp(X3,X0,X0,X4) ),
inference(resolution_lifted,[status(thm)],[c_98,c_169]) ).
cnf(c_1834,plain,
( ~ eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21)
| perp(sK23,sK20,sK20,X0) ),
inference(unflattening,[status(thm)],[c_1833]) ).
cnf(c_1835,plain,
( ~ eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21)
| perp(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_1834]) ).
cnf(c_2174,plain,
( X0 != sK23
| X1 != sK20
| X2 != sK24
| X3 != sK27
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_167]) ).
cnf(c_2175,plain,
perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23),
inference(unflattening,[status(thm)],[c_2174]) ).
cnf(c_4827,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(demodulation,[status(thm)],[c_169]) ).
cnf(c_4828,negated_conjecture,
para(sK21,sK22,sK24,sK20),
inference(demodulation,[status(thm)],[c_168]) ).
cnf(c_4830,negated_conjecture,
perp(sK25,sK24,sK20,sK21),
inference(demodulation,[status(thm)],[c_166]) ).
cnf(c_4831,negated_conjecture,
coll(sK25,sK20,sK21),
inference(demodulation,[status(thm)],[c_165]) ).
cnf(c_4832,negated_conjecture,
perp(sK26,sK24,sK20,sK22),
inference(demodulation,[status(thm)],[c_164]) ).
cnf(c_4833,negated_conjecture,
coll(sK26,sK20,sK22),
inference(demodulation,[status(thm)],[c_163]) ).
cnf(c_6360,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_4833,c_49]) ).
cnf(c_6361,plain,
coll(sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_4831,c_49]) ).
cnf(c_6366,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_4833,c_50]) ).
cnf(c_6367,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_4831,c_50]) ).
cnf(c_6380,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_6360,c_50]) ).
cnf(c_6382,plain,
coll(sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_6361,c_50]) ).
cnf(c_6408,plain,
para(sK21,sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_4828,c_52]) ).
cnf(c_6414,plain,
para(sK24,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_4828,c_53]) ).
cnf(c_6415,plain,
para(sK20,sK24,sK21,sK22),
inference(superposition,[status(thm)],[c_6408,c_53]) ).
cnf(c_6420,plain,
perp(sK26,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_4832,c_55]) ).
cnf(c_6421,plain,
perp(sK25,sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_4830,c_55]) ).
cnf(c_6426,plain,
perp(sK20,sK22,sK26,sK24),
inference(superposition,[status(thm)],[c_4832,c_56]) ).
cnf(c_6427,plain,
perp(sK20,sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_4830,c_56]) ).
cnf(c_6433,plain,
para(sK24,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_6414,c_52]) ).
cnf(c_6435,plain,
para(sK20,sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_6415,c_52]) ).
cnf(c_6444,plain,
para(sK22,sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_6433,c_53]) ).
cnf(c_6540,plain,
( ~ coll(sK26,sK20,X0)
| coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_4833,c_51]) ).
cnf(c_6541,plain,
( ~ coll(sK25,sK20,X0)
| coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_4831,c_51]) ).
cnf(c_6542,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_6360,c_51]) ).
cnf(c_6543,plain,
( ~ coll(sK25,sK21,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_6361,c_51]) ).
cnf(c_6544,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_6366,c_51]) ).
cnf(c_6545,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_6367,c_51]) ).
cnf(c_6546,plain,
( ~ coll(sK22,sK26,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_6380,c_51]) ).
cnf(c_6547,plain,
( ~ coll(sK21,sK25,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_6382,c_51]) ).
cnf(c_6578,plain,
( ~ coll(sK21,sK25,sK20)
| coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6547]) ).
cnf(c_6579,plain,
( ~ coll(sK22,sK26,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6546]) ).
cnf(c_6580,plain,
( ~ coll(sK20,sK25,sK20)
| coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6545]) ).
cnf(c_6581,plain,
( ~ coll(sK20,sK26,sK20)
| coll(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6544]) ).
cnf(c_6604,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_4833,c_6540]) ).
cnf(c_6607,plain,
coll(sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_6604,c_49]) ).
cnf(c_6610,plain,
( ~ coll(sK22,sK26,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_6607,c_51]) ).
cnf(c_6615,plain,
( ~ coll(sK22,sK26,sK20)
| coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6610]) ).
cnf(c_6625,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_4831,c_6541]) ).
cnf(c_6628,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_6625,c_49]) ).
cnf(c_6631,plain,
( ~ coll(sK21,sK25,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_6628,c_51]) ).
cnf(c_6636,plain,
( ~ coll(sK21,sK25,sK20)
| coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6631]) ).
cnf(c_6641,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_6360,c_6542]) ).
cnf(c_6643,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK26,X0,sK20) ),
inference(superposition,[status(thm)],[c_6641,c_51]) ).
cnf(c_6645,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_6641,c_49]) ).
cnf(c_6653,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_6361,c_6543]) ).
cnf(c_6654,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK25,X0,sK20) ),
inference(superposition,[status(thm)],[c_6653,c_51]) ).
cnf(c_6656,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_6653,c_49]) ).
cnf(c_6659,plain,
( ~ coll(sK20,sK20,sK20)
| coll(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6654]) ).
cnf(c_6664,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6366,c_6544]) ).
cnf(c_6669,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6367,c_6545]) ).
cnf(c_6692,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_6645,c_51]) ).
cnf(c_6698,plain,
( ~ coll(sK20,sK26,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6692]) ).
cnf(c_6702,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_6656,c_6545]) ).
cnf(c_6708,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_6664,c_49]) ).
cnf(c_6714,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_6669,c_49]) ).
cnf(c_6761,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_6380,c_6546]) ).
cnf(c_6821,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_6761,c_51]) ).
cnf(c_6846,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_6382,c_6547]) ).
cnf(c_6977,plain,
( ~ para(sK21,sK22,sK24,sK20)
| eqangle(sK21,sK22,X0,X1,sK24,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_6978,plain,
( ~ para(sK21,sK22,sK24,sK20)
| eqangle(sK21,sK22,sK20,sK20,sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6977]) ).
cnf(c_6997,plain,
coll(sK26,sK21,sK20),
inference(superposition,[status(thm)],[c_6846,c_6643]) ).
cnf(c_7032,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_4827,c_102]) ).
cnf(c_7046,plain,
( ~ midp(sK24,sK20,sK22)
| cong(sK26,sK20,sK26,sK22) ),
inference(superposition,[status(thm)],[c_4832,c_104]) ).
cnf(c_7047,plain,
( ~ midp(sK24,sK20,sK21)
| cong(sK25,sK20,sK25,sK21) ),
inference(superposition,[status(thm)],[c_4830,c_104]) ).
cnf(c_7105,plain,
( ~ eqangle(X0,X1,X2,X3,sK21,sK22,sK24,sK20)
| ~ para(sK21,sK22,sK24,sK20)
| para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_7106,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK21,sK22,sK24,sK20)
| ~ para(sK21,sK22,sK24,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7105]) ).
cnf(c_7118,plain,
( ~ para(sK20,sK24,X0,X1)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6408,c_54]) ).
cnf(c_7119,plain,
( ~ para(sK21,sK22,X0,X1)
| para(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_6414,c_54]) ).
cnf(c_7121,plain,
( ~ para(sK22,sK21,X0,X1)
| para(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_6433,c_54]) ).
cnf(c_7167,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK25,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_4830,c_57]) ).
cnf(c_7170,plain,
( ~ perp(sK26,sK24,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6426,c_57]) ).
cnf(c_7171,plain,
( ~ perp(sK25,sK24,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_6427,c_57]) ).
cnf(c_7320,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7032,c_56]) ).
cnf(c_7321,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7032,c_55]) ).
cnf(c_7361,plain,
( ~ midp(sK24,sK20,sK22)
| cong(sK26,sK22,sK26,sK20) ),
inference(superposition,[status(thm)],[c_7046,c_72]) ).
cnf(c_7379,plain,
( ~ midp(sK24,sK20,sK21)
| cong(sK25,sK21,sK25,sK20) ),
inference(superposition,[status(thm)],[c_7047,c_72]) ).
cnf(c_7418,plain,
( ~ perp(sK20,sK24,X0,X1)
| perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6408,c_58]) ).
cnf(c_7419,plain,
( ~ perp(sK21,sK22,X0,X1)
| perp(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_6414,c_58]) ).
cnf(c_7420,plain,
( ~ perp(sK21,sK22,X0,X1)
| perp(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6415,c_58]) ).
cnf(c_7476,plain,
( ~ cong(sK26,sK20,sK26,X0)
| ~ midp(sK24,sK20,sK22)
| circle(sK26,sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7046,c_60]) ).
cnf(c_7477,plain,
( ~ cong(sK25,sK20,sK25,X0)
| ~ midp(sK24,sK20,sK21)
| circle(sK25,sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_7047,c_60]) ).
cnf(c_7522,plain,
( ~ cong(sK26,sK22,X0,X1)
| ~ midp(sK24,sK20,sK22)
| cong(sK26,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7046,c_73]) ).
cnf(c_7523,plain,
( ~ cong(sK25,sK21,X0,X1)
| ~ midp(sK24,sK20,sK21)
| cong(sK25,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7047,c_73]) ).
cnf(c_7567,plain,
coll(sK26,sK20,sK21),
inference(superposition,[status(thm)],[c_6997,c_49]) ).
cnf(c_7590,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK25,sK24,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7032,c_7167]) ).
cnf(c_7591,plain,
para(sK25,sK24,sK25,sK24),
inference(superposition,[status(thm)],[c_6427,c_7167]) ).
cnf(c_7653,plain,
coll(sK25,sK24,sK24),
inference(superposition,[status(thm)],[c_7591,c_115]) ).
cnf(c_7737,plain,
coll(sK20,sK26,sK21),
inference(superposition,[status(thm)],[c_7567,c_50]) ).
cnf(c_7884,plain,
( ~ coll(sK23,sK22,sK20)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_7971,plain,
( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23)
| perp(sK20,sK23,sK11(sK20,sK24,sK27,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_7972,plain,
( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23)
| perp(sK11(sK20,sK24,sK27,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_8077,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7320,c_55]) ).
cnf(c_8093,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK22,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7321,c_56]) ).
cnf(c_8115,plain,
( ~ midp(sK24,sK20,sK22)
| cong(sK26,sK22,sK20,sK26) ),
inference(superposition,[status(thm)],[c_7361,c_71]) ).
cnf(c_8138,plain,
coll(sK20,sK20,sK20),
inference(superposition,[status(thm)],[c_6645,c_6692]) ).
cnf(c_8230,plain,
coll(sK24,sK25,sK24),
inference(superposition,[status(thm)],[c_7653,c_50]) ).
cnf(c_8262,plain,
( ~ midp(sK24,sK20,sK21)
| cong(sK25,sK21,sK20,sK25) ),
inference(superposition,[status(thm)],[c_7379,c_71]) ).
cnf(c_8339,plain,
para(sK24,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_4828,c_7119]) ).
cnf(c_8340,plain,
para(sK24,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_6408,c_7119]) ).
cnf(c_8586,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
cnf(c_8599,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8586]) ).
cnf(c_8604,plain,
( ~ eqangle(sK21,sK22,X0,X1,sK24,sK20,X0,X1)
| eqangle(sK21,sK22,sK24,sK20,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_8611,plain,
( ~ eqangle(sK21,sK22,sK20,sK20,sK24,sK20,sK20,sK20)
| eqangle(sK21,sK22,sK24,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8604]) ).
cnf(c_8619,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_7737,c_6544]) ).
cnf(c_8666,plain,
coll(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_8339,c_115]) ).
cnf(c_8676,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_8666,c_50]) ).
cnf(c_8694,plain,
para(sK20,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_8340,c_53]) ).
cnf(c_8719,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_4832,c_7170]) ).
cnf(c_8720,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6420,c_7170]) ).
cnf(c_8728,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_8720,c_53]) ).
cnf(c_8757,plain,
( ~ coll(sK22,X0,sK24)
| ~ midp(sK21,X0,sK20)
| midp(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_6408,c_94]) ).
cnf(c_8759,plain,
( ~ coll(sK24,X0,sK22)
| ~ midp(sK20,X0,sK21)
| midp(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_6415,c_94]) ).
cnf(c_8761,plain,
( ~ coll(sK24,X0,sK21)
| ~ midp(sK20,X0,sK22)
| midp(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_6435,c_94]) ).
cnf(c_8762,plain,
( ~ coll(sK21,X0,sK20)
| ~ midp(sK22,X0,sK24)
| midp(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_6444,c_94]) ).
cnf(c_8772,plain,
( ~ coll(sK20,X0,sK20)
| ~ midp(sK24,X0,sK24)
| midp(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_8339,c_94]) ).
cnf(c_8774,plain,
( ~ coll(sK22,X0,sK22)
| ~ midp(sK20,X0,sK20)
| midp(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_8719,c_94]) ).
cnf(c_8839,plain,
( ~ coll(sK22,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8774]) ).
cnf(c_8849,plain,
( ~ coll(sK21,sK20,sK20)
| ~ midp(sK22,sK20,sK24)
| midp(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8762]) ).
cnf(c_8850,plain,
( ~ coll(sK24,sK20,sK21)
| ~ midp(sK20,sK20,sK22)
| midp(sK24,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_8761]) ).
cnf(c_8852,plain,
( ~ coll(sK24,sK20,sK22)
| ~ midp(sK20,sK20,sK21)
| midp(sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8759]) ).
cnf(c_9114,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_4830,c_7171]) ).
cnf(c_9115,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6421,c_7171]) ).
cnf(c_9116,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_9114,c_94]) ).
cnf(c_9125,plain,
( ~ coll(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_9116]) ).
cnf(c_9142,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_9115,c_53]) ).
cnf(c_9591,plain,
( ~ midp(sK20,sK20,sK20)
| midp(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6708,c_8774]) ).
cnf(c_9755,plain,
( ~ midp(sK24,sK20,sK24)
| midp(sK20,sK20,sK20) ),
inference(superposition,[status(thm)],[c_8138,c_8772]) ).
cnf(c_9796,plain,
( ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6714,c_9116]) ).
cnf(c_10300,plain,
( ~ coll(sK24,sK25,X0)
| coll(sK24,X0,sK24) ),
inference(superposition,[status(thm)],[c_8230,c_51]) ).
cnf(c_10305,plain,
( ~ coll(sK24,sK25,sK20)
| coll(sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_10300]) ).
cnf(c_10643,plain,
( ~ coll(sK20,X0,sK23)
| ~ coll(sK20,X0,sK22)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_10644,plain,
( ~ coll(sK20,sK20,sK23)
| ~ coll(sK20,sK20,sK22)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_10643]) ).
cnf(c_10672,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_8676,c_49]) ).
cnf(c_11225,plain,
( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,X0,X1)
| ~ perp(sK20,sK23,sK11(sK20,sK24,sK27,sK23),sK20)
| para(sK20,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_11241,plain,
( ~ midp(sK26,sK22,X0)
| ~ midp(sK24,sK20,sK22)
| cong(sK26,sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_117,c_7522]) ).
cnf(c_11248,plain,
( ~ midp(sK24,sK20,sK22)
| cong(sK26,sK20,sK26,sK20) ),
inference(superposition,[status(thm)],[c_7361,c_7522]) ).
cnf(c_11303,plain,
( ~ midp(sK24,sK20,sK21)
| cong(sK25,sK20,sK25,sK20) ),
inference(superposition,[status(thm)],[c_7379,c_7523]) ).
cnf(c_13975,plain,
( ~ coll(X0,sK24,sK21)
| coll(sK24,X0,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_13976,plain,
( ~ coll(sK20,sK24,sK21)
| coll(sK24,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_13975]) ).
cnf(c_14097,plain,
coll(sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_10672,c_6654]) ).
cnf(c_14098,plain,
coll(sK26,sK24,sK20),
inference(superposition,[status(thm)],[c_10672,c_6643]) ).
cnf(c_14460,plain,
( ~ para(sK23,X0,sK23,X1)
| coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_14463,plain,
( ~ para(sK23,sK20,sK23,sK20)
| coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_14460]) ).
cnf(c_14633,plain,
( ~ eqangle(sK21,sK22,sK24,sK20,X0,X1,X0,X1)
| eqangle(X0,X1,X0,X1,sK21,sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_14638,plain,
( ~ eqangle(sK21,sK22,sK24,sK20,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK21,sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_14633]) ).
cnf(c_14866,plain,
para(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_8694,c_52]) ).
cnf(c_14910,plain,
( ~ coll(sK20,X0,sK22)
| ~ midp(sK22,X0,sK20)
| midp(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_8728,c_94]) ).
cnf(c_14927,plain,
( ~ coll(sK20,sK20,sK22)
| ~ midp(sK22,sK20,sK20)
| midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_14910]) ).
cnf(c_14930,plain,
( ~ coll(sK20,X0,sK21)
| ~ midp(sK21,X0,sK20)
| midp(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_9142,c_94]) ).
cnf(c_14947,plain,
( ~ coll(sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK20)
| midp(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_14930]) ).
cnf(c_15722,plain,
coll(sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_14097,c_50]) ).
cnf(c_15723,plain,
coll(sK25,sK20,sK24),
inference(superposition,[status(thm)],[c_14097,c_49]) ).
cnf(c_15772,plain,
coll(sK26,sK20,sK24),
inference(superposition,[status(thm)],[c_14098,c_49]) ).
cnf(c_15952,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_10672,c_6821]) ).
cnf(c_17937,plain,
coll(sK21,sK24,sK25),
inference(superposition,[status(thm)],[c_15723,c_6541]) ).
cnf(c_17960,plain,
coll(sK22,sK24,sK26),
inference(superposition,[status(thm)],[c_15772,c_6540]) ).
cnf(c_17965,plain,
coll(sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_17937,c_49]) ).
cnf(c_17975,plain,
coll(sK22,sK26,sK24),
inference(superposition,[status(thm)],[c_17960,c_49]) ).
cnf(c_18177,plain,
coll(sK20,sK24,sK21),
inference(superposition,[status(thm)],[c_17965,c_6547]) ).
cnf(c_18275,plain,
coll(sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_15952,c_49]) ).
cnf(c_18307,plain,
( ~ coll(sK22,sK26,X0)
| coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_17975,c_51]) ).
cnf(c_18317,plain,
( ~ coll(sK22,sK26,sK20)
| coll(sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_18307]) ).
cnf(c_18359,plain,
midp(sK22,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_9591,c_168,c_175,c_179,c_233,c_6380,c_6615,c_6645,c_6698,c_6978,c_7106,c_8599,c_8611,c_8839,c_14638]) ).
cnf(c_18364,plain,
midp(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_18359,c_59]) ).
cnf(c_18476,plain,
midp(sK20,sK20,sK20),
inference(global_subsumption_just,[status(thm)],[c_9755,c_168,c_175,c_179,c_233,c_6645,c_6698,c_6978,c_7106,c_8599,c_8611,c_14638]) ).
cnf(c_18479,plain,
( ~ midp(X0,sK20,X1)
| para(sK20,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_18476,c_93]) ).
cnf(c_18573,plain,
midp(sK21,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_9796,c_168,c_175,c_179,c_233,c_6382,c_6636,c_6645,c_6698,c_6978,c_7106,c_8599,c_8611,c_9125,c_14638]) ).
cnf(c_18578,plain,
midp(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_18573,c_59]) ).
cnf(c_18650,plain,
( ~ midp(sK21,sK20,sK20)
| midp(sK22,sK20,sK24) ),
inference(superposition,[status(thm)],[c_18275,c_8757]) ).
cnf(c_18903,plain,
( ~ midp(sK22,X0,X1)
| para(sK22,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_18364,c_112]) ).
cnf(c_18919,plain,
( ~ midp(X0,sK21,X1)
| para(sK21,X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_18578,c_93]) ).
cnf(c_19783,plain,
( ~ para(sK25,sK26,sK23,sK20)
| para(sK25,sK26,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_20308,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK24,sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_8077,c_7419]) ).
cnf(c_20329,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK20,sK21)
| cong(sK22,sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_8093,c_104]) ).
cnf(c_20334,plain,
( ~ coll(sK23,sK20,sK22)
| cong(sK22,sK20,sK22,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20329,c_18573]) ).
cnf(c_20408,plain,
( ~ coll(sK24,X0,sK24)
| ~ midp(sK20,X0,sK20)
| midp(sK24,X0,sK24) ),
inference(superposition,[status(thm)],[c_14866,c_94]) ).
cnf(c_20422,plain,
( ~ coll(sK24,sK20,sK24)
| ~ midp(sK20,sK20,sK20)
| midp(sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_20408]) ).
cnf(c_20539,plain,
( ~ midp(sK24,sK20,sK22)
| cong(sK26,sK20,sK20,sK26) ),
inference(superposition,[status(thm)],[c_8115,c_7522]) ).
cnf(c_20573,plain,
( ~ midp(sK24,sK20,sK21)
| cong(sK25,sK20,sK20,sK25) ),
inference(superposition,[status(thm)],[c_8262,c_7523]) ).
cnf(c_20652,plain,
( ~ coll(sK23,X0,X1)
| ~ coll(sK23,X0,sK20)
| coll(sK20,X1,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_20653,plain,
( ~ coll(sK23,sK20,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_20652]) ).
cnf(c_21274,plain,
( ~ midp(sK24,sK20,sK22)
| circle(sK26,sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_11248,c_7476]) ).
cnf(c_21714,plain,
( ~ midp(sK24,sK20,sK21)
| circle(sK25,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_11303,c_7477]) ).
cnf(c_21854,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK20,sK24,sK20) ),
inference(superposition,[status(thm)],[c_20308,c_56]) ).
cnf(c_21871,plain,
( ~ midp(sK24,sK20,sK22)
| cong(sK20,sK26,sK26,sK20) ),
inference(superposition,[status(thm)],[c_20539,c_72]) ).
cnf(c_21900,plain,
( ~ midp(sK24,sK20,sK21)
| cong(sK20,sK25,sK25,sK20) ),
inference(superposition,[status(thm)],[c_20573,c_72]) ).
cnf(c_22074,plain,
( ~ coll(sK26,sK20,sK22)
| ~ midp(sK24,sK20,sK22)
| perp(sK20,sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_21274,c_102]) ).
cnf(c_22075,plain,
( ~ midp(sK24,sK20,sK22)
| perp(sK20,sK20,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22074,c_4833]) ).
cnf(c_22085,plain,
( ~ midp(sK24,sK20,sK22)
| perp(sK20,sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_22075,c_55]) ).
cnf(c_22247,plain,
( ~ midp(sK24,sK20,sK22)
| perp(sK22,sK20,sK20,sK20) ),
inference(superposition,[status(thm)],[c_22085,c_56]) ).
cnf(c_23188,plain,
( ~ coll(sK25,sK20,sK21)
| ~ midp(sK24,sK20,sK21)
| perp(sK20,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_21714,c_102]) ).
cnf(c_23189,plain,
( ~ midp(sK24,sK20,sK21)
| perp(sK20,sK20,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23188,c_4831]) ).
cnf(c_23199,plain,
( ~ midp(sK24,sK20,sK21)
| perp(sK20,sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_23189,c_55]) ).
cnf(c_23361,plain,
( ~ midp(sK24,sK20,sK21)
| perp(sK21,sK20,sK20,sK20) ),
inference(superposition,[status(thm)],[c_23199,c_56]) ).
cnf(c_24186,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(sK24,sK20,X0,X1)
| perp(sK24,sK20,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_24187,plain,
( ~ para(sK24,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24186]) ).
cnf(c_24196,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(sK21,sK20,X0,X1)
| perp(sK21,sK20,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_24197,plain,
( ~ para(sK21,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24196]) ).
cnf(c_24392,plain,
( ~ midp(sK20,sK20,sK20)
| ~ midp(sK24,sK20,sK22)
| cong(sK22,sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_22247,c_104]) ).
cnf(c_24404,plain,
( ~ midp(sK24,sK20,sK22)
| cong(sK22,sK20,sK22,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24392,c_18476]) ).
cnf(c_24667,plain,
( ~ midp(sK20,sK20,sK20)
| ~ midp(sK24,sK20,sK21)
| cong(sK21,sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_23361,c_104]) ).
cnf(c_24679,plain,
( ~ midp(sK24,sK20,sK21)
| cong(sK21,sK20,sK21,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24667,c_18476]) ).
cnf(c_25111,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7320,c_7420]) ).
cnf(c_25125,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK20,sK24) ),
inference(superposition,[status(thm)],[c_25111,c_56]) ).
cnf(c_26175,plain,
( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK23,sK20)
| ~ perp(sK20,sK23,sK11(sK20,sK24,sK27,sK23),sK20)
| para(sK20,sK23,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_11225]) ).
cnf(c_29625,plain,
( ~ para(sK23,X0,X1,sK23)
| para(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_29626,plain,
( ~ para(sK23,sK20,sK20,sK23)
| para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_29625]) ).
cnf(c_31663,plain,
( ~ para(sK23,sK20,sK25,sK26)
| para(sK25,sK26,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_32404,plain,
( ~ para(sK20,sK23,X0,X1)
| para(X0,X1,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_37899,plain,
( ~ midp(sK26,sK22,X0)
| ~ midp(sK24,sK20,sK22)
| circle(sK26,sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_11241,c_7476]) ).
cnf(c_42746,plain,
( ~ midp(sK24,sK20,X0)
| para(sK21,sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_18479,c_7118]) ).
cnf(c_42946,plain,
( ~ coll(sK22,X0,X1)
| ~ midp(sK24,sK20,X1)
| ~ midp(sK21,X0,sK20)
| midp(sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_42746,c_94]) ).
cnf(c_42981,plain,
( ~ coll(sK22,sK20,sK20)
| ~ midp(sK24,sK20,sK20)
| ~ midp(sK21,sK20,sK20)
| midp(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_42946]) ).
cnf(c_43906,plain,
( ~ midp(sK22,sK21,X0)
| para(sK24,sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_18903,c_7121]) ).
cnf(c_43936,plain,
( ~ midp(sK22,sK21,sK20)
| para(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_43906]) ).
cnf(c_47867,plain,
( ~ perp(X0,X1,sK25,sK26)
| ~ perp(sK23,sK20,X0,X1)
| para(sK23,sK20,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_47868,plain,
( ~ perp(sK20,sK20,sK25,sK26)
| ~ perp(sK23,sK20,sK20,sK20)
| para(sK23,sK20,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_47867]) ).
cnf(c_49437,plain,
( ~ cong(sK22,sK20,sK22,X0)
| ~ coll(sK23,sK20,sK22)
| circle(sK22,sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_20334,c_60]) ).
cnf(c_49518,plain,
( ~ cong(sK22,sK20,sK22,sK20)
| ~ coll(sK23,sK20,sK22)
| circle(sK22,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_49437]) ).
cnf(c_51466,plain,
( ~ perp(sK24,sK20,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_21854,c_57]) ).
cnf(c_51480,plain,
( ~ perp(sK24,sK20,sK20,sK20)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_51466]) ).
cnf(c_51508,plain,
( ~ midp(sK24,sK20,sK22)
| cong(sK20,sK26,sK20,sK26) ),
inference(superposition,[status(thm)],[c_21871,c_71]) ).
cnf(c_51806,plain,
( ~ midp(sK26,sK22,X0)
| ~ coll(sK26,sK20,sK22)
| ~ midp(sK24,sK20,sK22)
| perp(sK20,X0,X0,sK22) ),
inference(superposition,[status(thm)],[c_37899,c_102]) ).
cnf(c_51807,plain,
( ~ midp(sK26,sK22,X0)
| ~ midp(sK24,sK20,sK22)
| perp(sK20,X0,X0,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51806,c_4833]) ).
cnf(c_51903,plain,
( ~ midp(sK24,sK20,sK21)
| cong(sK20,sK25,sK20,sK25) ),
inference(superposition,[status(thm)],[c_21900,c_71]) ).
cnf(c_52118,plain,
( ~ para(sK20,sK23,sK23,sK20)
| para(sK23,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_32404]) ).
cnf(c_52208,plain,
( ~ midp(sK26,sK22,sK21)
| ~ midp(sK24,sK20,sK22)
| para(sK25,sK24,sK21,sK22) ),
inference(superposition,[status(thm)],[c_51807,c_7167]) ).
cnf(c_52463,plain,
para(sK25,sK24,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_52208,c_2175,c_6380,c_6579,c_7590,c_7884,c_7972,c_7971,c_10644,c_14463,c_20653,c_26175,c_29626,c_52118]) ).
cnf(c_52468,plain,
( ~ para(sK21,sK22,X0,X1)
| para(sK25,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_52463,c_54]) ).
cnf(c_52469,plain,
para(sK21,sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_52463,c_53]) ).
cnf(c_52654,plain,
para(sK21,sK22,sK24,sK25),
inference(superposition,[status(thm)],[c_52469,c_52]) ).
cnf(c_52700,plain,
para(sK24,sK20,sK24,sK25),
inference(superposition,[status(thm)],[c_52654,c_7119]) ).
cnf(c_53800,plain,
( ~ perp(sK21,X0,X1,X2)
| ~ midp(X0,X1,X2)
| cong(sK21,X1,sK21,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_53801,plain,
( ~ perp(sK21,sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK21,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_53800]) ).
cnf(c_54512,plain,
para(sK24,sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_52700,c_53]) ).
cnf(c_54608,plain,
( ~ coll(sK25,X0,sK20)
| ~ midp(sK24,X0,sK24)
| midp(sK25,X0,sK20) ),
inference(superposition,[status(thm)],[c_54512,c_94]) ).
cnf(c_54628,plain,
( ~ coll(sK25,sK20,sK20)
| ~ midp(sK24,sK20,sK24)
| midp(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_54608]) ).
cnf(c_55357,plain,
( ~ midp(sK22,sK21,X0)
| para(sK25,sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_18919,c_52468]) ).
cnf(c_55400,plain,
( ~ midp(sK22,sK21,sK20)
| para(sK25,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_55357]) ).
cnf(c_56703,plain,
perp(sK20,sK21,sK20,sK24),
inference(global_subsumption_just,[status(thm)],[c_25125,c_2175,c_6380,c_6579,c_7884,c_7972,c_7971,c_10644,c_14463,c_20653,c_25125,c_26175,c_29626,c_52118]) ).
cnf(c_56707,plain,
perp(sK20,sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_56703,c_56]) ).
cnf(c_56732,plain,
perp(sK20,sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_56707,c_55]) ).
cnf(c_56769,plain,
perp(sK21,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_56732,c_7418]) ).
cnf(c_56837,plain,
perp(sK21,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_56769,c_56]) ).
cnf(c_57571,plain,
perp(sK21,sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_56837,c_55]) ).
cnf(c_57616,plain,
perp(sK22,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_57571,c_56]) ).
cnf(c_57802,plain,
( ~ cong(X0,sK25,X1,sK25)
| ~ cong(X0,sK26,X1,sK26)
| perp(X0,X1,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_57803,plain,
( ~ cong(sK20,sK25,sK20,sK25)
| ~ cong(sK20,sK26,sK20,sK26)
| perp(sK20,sK20,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_57802]) ).
cnf(c_58279,plain,
( ~ midp(sK21,sK21,sK20)
| cong(sK22,sK21,sK22,sK20) ),
inference(superposition,[status(thm)],[c_57616,c_104]) ).
cnf(c_58295,plain,
cong(sK22,sK21,sK22,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_58279,c_18578]) ).
cnf(c_58420,plain,
( ~ coll(sK22,sK21,sK20)
| midp(sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_58295,c_116]) ).
cnf(c_58431,plain,
midp(sK22,sK21,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_58420,c_8619]) ).
cnf(c_59569,plain,
( ~ midp(sK24,sK20,sK21)
| cong(sK25,sK20,sK25,sK21) ),
inference(superposition,[status(thm)],[c_4830,c_104]) ).
cnf(c_59927,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK25,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_4830,c_57]) ).
cnf(c_60012,plain,
( ~ cong(sK25,sK20,sK25,X0)
| ~ midp(sK24,sK20,sK21)
| circle(sK25,sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_59569,c_60]) ).
cnf(c_64746,plain,
( ~ midp(sK25,sK20,X0)
| ~ midp(sK24,sK20,sK21)
| circle(sK25,sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_117,c_60012]) ).
cnf(c_64990,plain,
( ~ midp(sK25,sK20,X0)
| ~ coll(sK25,sK20,sK21)
| ~ midp(sK24,sK20,sK21)
| perp(sK20,X0,X0,sK21) ),
inference(superposition,[status(thm)],[c_64746,c_102]) ).
cnf(c_64991,plain,
( ~ midp(sK25,sK20,X0)
| ~ midp(sK24,sK20,sK21)
| perp(sK20,X0,X0,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64990,c_4831]) ).
cnf(c_65246,plain,
( ~ midp(sK25,sK20,X0)
| ~ midp(sK24,sK20,sK21)
| perp(X0,sK21,sK20,X0) ),
inference(superposition,[status(thm)],[c_64991,c_56]) ).
cnf(c_65321,plain,
( ~ midp(sK25,sK20,sK20)
| ~ midp(sK24,sK20,sK21)
| para(sK25,sK24,sK20,sK20) ),
inference(superposition,[status(thm)],[c_65246,c_59927]) ).
cnf(c_65869,plain,
para(sK25,sK24,sK20,sK20),
inference(global_subsumption_just,[status(thm)],[c_65321,c_55400,c_58431]) ).
cnf(c_65872,plain,
( ~ coll(sK24,X0,sK20)
| ~ midp(sK25,X0,sK20)
| midp(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_65869,c_94]) ).
cnf(c_65888,plain,
( ~ coll(sK24,sK20,sK20)
| ~ midp(sK25,sK20,sK20)
| midp(sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_65872]) ).
cnf(c_70305,plain,
cong(sK21,sK20,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_24679,c_168,c_175,c_179,c_184,c_233,c_2175,c_6380,c_6579,c_6645,c_6698,c_6978,c_7106,c_7884,c_7972,c_7971,c_8599,c_8611,c_10644,c_14463,c_14638,c_20653,c_24187,c_24197,c_26175,c_29626,c_43936,c_51480,c_52118,c_53801,c_58431]) ).
cnf(c_70309,plain,
( ~ coll(sK21,sK20,sK20)
| midp(sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_70305,c_116]) ).
cnf(c_70325,plain,
midp(sK21,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_70309,c_6702]) ).
cnf(c_70371,plain,
midp(sK22,sK20,sK24),
inference(backward_subsumption_resolution,[status(thm)],[c_18650,c_70325]) ).
cnf(c_70412,plain,
( ~ circle(sK22,sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK21)
| eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_70413,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_70412,c_70371,c_65888,c_57803,c_54628,c_52118,c_51903,c_51508,c_49518,c_47868,c_42981,c_31663,c_29626,c_26175,c_24404,c_20653,c_20422,c_19783,c_18317,c_18177,c_15722,c_14947,c_14927,c_14638,c_14463,c_13976,c_10644,c_10305,c_9125,c_8852,c_8850,c_8849,c_8666,c_8611,c_8599,c_7971,c_7972,c_7884,c_7106,c_6978,c_6698,c_6659,c_6656,c_6645,c_6636,c_6581,c_6580,c_6579,c_6578,c_6382,c_6380,c_2175,c_1835,c_233,c_179,c_175,c_162,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GEO609+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.15 % Command : run_iprover %s %d THM
% 0.13/0.36 % Computer : n019.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 01:20:59 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 20.69/3.74 % SZS status Started for theBenchmark.p
% 20.69/3.74 % SZS status Theorem for theBenchmark.p
% 20.69/3.74
% 20.69/3.74 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 20.69/3.74
% 20.69/3.74 ------ iProver source info
% 20.69/3.74
% 20.69/3.74 git: date: 2024-05-02 19:28:25 +0000
% 20.69/3.74 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 20.69/3.74 git: non_committed_changes: false
% 20.69/3.74
% 20.69/3.74 ------ Parsing...
% 20.69/3.74 ------ Clausification by vclausify_rel & Parsing by iProver...
% 20.69/3.74
% 20.69/3.74 ------ 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
% 20.69/3.74
% 20.69/3.74 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.69/3.74
% 20.69/3.74 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 20.69/3.74 ------ Proving...
% 20.69/3.74 ------ Problem Properties
% 20.69/3.74
% 20.69/3.74
% 20.69/3.74 clauses 120
% 20.69/3.74 conjectures 8
% 20.69/3.74 EPR 83
% 20.69/3.74 Horn 110
% 20.69/3.74 unary 8
% 20.69/3.74 binary 37
% 20.69/3.74 lits 336
% 20.69/3.74 lits eq 4
% 20.69/3.74 fd_pure 0
% 20.69/3.74 fd_pseudo 0
% 20.69/3.74 fd_cond 0
% 20.69/3.74 fd_pseudo_cond 4
% 20.69/3.74 AC symbols 0
% 20.69/3.74
% 20.69/3.74 ------ Schedule dynamic 5 is on
% 20.69/3.74
% 20.69/3.74 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.69/3.74
% 20.69/3.74
% 20.69/3.74 ------
% 20.69/3.74 Current options:
% 20.69/3.74 ------
% 20.69/3.74
% 20.69/3.74
% 20.69/3.74
% 20.69/3.74
% 20.69/3.74 ------ Proving...
% 20.69/3.74
% 20.69/3.74
% 20.69/3.74 % SZS status Theorem for theBenchmark.p
% 20.69/3.74
% 20.69/3.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.69/3.74
% 20.69/3.74
%------------------------------------------------------------------------------