TSTP Solution File: GEO626+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO626+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:12:10 EDT 2023
% Result : Theorem 58.43s 8.78s
% Output : CNFRefutation 58.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 35
% Syntax : Number of formulae : 520 ( 107 unt; 0 def)
% Number of atoms : 1237 ( 4 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 1277 ( 560 ~; 551 |; 112 &)
% ( 0 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 1104 ( 19 sgn; 687 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(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(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(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(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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(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(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(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X12,X5,X18,X19,X20,X21,X22] :
( ( coll(X19,X3,X5)
& circle(X7,X3,X19,X22)
& coll(X18,X3,X12)
& circle(X7,X3,X18,X21)
& coll(X5,X0,X2)
& perp(X5,X3,X0,X2)
& coll(X12,X0,X1)
& perp(X12,X3,X0,X1)
& circle(X7,X0,X3,X20)
& circle(X7,X0,X1,X2) )
=> para(X18,X2,X19,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110990) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X12,X5,X18,X19,X20,X21,X22] :
( ( coll(X19,X3,X5)
& circle(X7,X3,X19,X22)
& coll(X18,X3,X12)
& circle(X7,X3,X18,X21)
& coll(X5,X0,X2)
& perp(X5,X3,X0,X2)
& coll(X12,X0,X1)
& perp(X12,X3,X0,X1)
& circle(X7,X0,X3,X20)
& circle(X7,X0,X1,X2) )
=> para(X18,X2,X19,X1) ),
inference(negated_conjecture,[],[f95]) ).
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(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(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(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(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(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X8,X4,X6)
& circle(X3,X4,X8,X11)
& coll(X7,X4,X5)
& circle(X3,X4,X7,X10)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> para(X7,X2,X8,X1) ),
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(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(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(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(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(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(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,X8,X9,X10,X11] :
( ~ para(X7,X2,X8,X1)
& coll(X8,X4,X6)
& circle(X3,X4,X8,X11)
& coll(X7,X4,X5)
& circle(X3,X4,X7,X10)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ para(X7,X2,X8,X1)
& coll(X8,X4,X6)
& circle(X3,X4,X8,X11)
& coll(X7,X4,X5)
& circle(X3,X4,X7,X10)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ para(X7,X2,X8,X1)
& coll(X8,X4,X6)
& circle(X3,X4,X8,X11)
& coll(X7,X4,X5)
& circle(X3,X4,X7,X10)
& coll(X6,X0,X2)
& perp(X6,X4,X0,X2)
& coll(X5,X0,X1)
& perp(X5,X4,X0,X1)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> ( ~ para(sK27,sK22,sK28,sK21)
& coll(sK28,sK24,sK26)
& circle(sK23,sK24,sK28,sK31)
& coll(sK27,sK24,sK25)
& circle(sK23,sK24,sK27,sK30)
& coll(sK26,sK20,sK22)
& perp(sK26,sK24,sK20,sK22)
& coll(sK25,sK20,sK21)
& perp(sK25,sK24,sK20,sK21)
& circle(sK23,sK20,sK24,sK29)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ para(sK27,sK22,sK28,sK21)
& coll(sK28,sK24,sK26)
& circle(sK23,sK24,sK28,sK31)
& coll(sK27,sK24,sK25)
& circle(sK23,sK24,sK27,sK30)
& coll(sK26,sK20,sK22)
& perp(sK26,sK24,sK20,sK22)
& coll(sK25,sK20,sK21)
& perp(sK25,sK24,sK20,sK21)
& circle(sK23,sK20,sK24,sK29)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(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(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(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(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(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(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(f474,plain,
circle(sK23,sK20,sK24,sK29),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
perp(sK25,sK24,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
perp(sK26,sK24,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
circle(sK23,sK24,sK27,sK30),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
coll(sK27,sK24,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
circle(sK23,sK24,sK28,sK31),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
coll(sK28,sK24,sK26),
inference(cnf_transformation,[],[f359]) ).
fof(f483,plain,
~ para(sK27,sK22,sK28,sK21),
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_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_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_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_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_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_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(sK27,sK22,sK28,sK21),
inference(cnf_transformation,[],[f483]) ).
cnf(c_163,negated_conjecture,
coll(sK28,sK24,sK26),
inference(cnf_transformation,[],[f482]) ).
cnf(c_164,negated_conjecture,
circle(sK23,sK24,sK28,sK31),
inference(cnf_transformation,[],[f481]) ).
cnf(c_165,negated_conjecture,
coll(sK27,sK24,sK25),
inference(cnf_transformation,[],[f480]) ).
cnf(c_166,negated_conjecture,
circle(sK23,sK24,sK27,sK30),
inference(cnf_transformation,[],[f479]) ).
cnf(c_167,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f478]) ).
cnf(c_168,negated_conjecture,
perp(sK26,sK24,sK20,sK22),
inference(cnf_transformation,[],[f477]) ).
cnf(c_170,negated_conjecture,
perp(sK25,sK24,sK20,sK21),
inference(cnf_transformation,[],[f475]) ).
cnf(c_171,negated_conjecture,
circle(sK23,sK20,sK24,sK29),
inference(cnf_transformation,[],[f474]) ).
cnf(c_178,plain,
( ~ cong(sK24,sK24,sK24,sK24)
| ~ coll(sK24,sK24,sK24)
| midp(sK24,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_187,plain,
( ~ cong(sK24,sK24,sK24,sK24)
| perp(sK24,sK24,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_2219,plain,
( X0 != sK23
| X1 != sK24
| X2 != sK28
| X3 != sK31
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_164]) ).
cnf(c_2220,plain,
perp(sK11(sK24,sK28,sK31,sK23),sK24,sK24,sK23),
inference(unflattening,[status(thm)],[c_2219]) ).
cnf(c_6923,plain,
coll(sK28,sK26,sK24),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_6924,plain,
coll(sK27,sK25,sK24),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_6933,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_167,c_50]) ).
cnf(c_6935,plain,
coll(sK26,sK28,sK24),
inference(superposition,[status(thm)],[c_6923,c_50]) ).
cnf(c_6948,plain,
coll(sK20,sK22,sK26),
inference(superposition,[status(thm)],[c_6933,c_49]) ).
cnf(c_7013,plain,
( ~ coll(sK28,sK24,X0)
| coll(sK26,X0,sK28) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
cnf(c_7014,plain,
( ~ coll(sK27,sK24,X0)
| coll(sK25,X0,sK27) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_7015,plain,
( ~ coll(sK26,sK20,X0)
| coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
cnf(c_7017,plain,
( ~ coll(sK28,sK26,X0)
| coll(sK24,X0,sK28) ),
inference(superposition,[status(thm)],[c_6923,c_51]) ).
cnf(c_7018,plain,
( ~ coll(sK27,sK25,X0)
| coll(sK24,X0,sK27) ),
inference(superposition,[status(thm)],[c_6924,c_51]) ).
cnf(c_7025,plain,
( ~ coll(sK26,sK28,X0)
| coll(sK24,X0,sK26) ),
inference(superposition,[status(thm)],[c_6935,c_51]) ).
cnf(c_7031,plain,
( ~ coll(sK20,sK22,X0)
| coll(sK26,X0,sK20) ),
inference(superposition,[status(thm)],[c_6948,c_51]) ).
cnf(c_7101,plain,
( ~ coll(sK27,sK25,sK24)
| coll(sK24,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_7018]) ).
cnf(c_7102,plain,
( ~ coll(sK28,sK26,sK24)
| coll(sK24,sK24,sK28) ),
inference(instantiation,[status(thm)],[c_7017]) ).
cnf(c_7109,plain,
perp(sK20,sK22,sK26,sK24),
inference(superposition,[status(thm)],[c_168,c_56]) ).
cnf(c_7110,plain,
perp(sK20,sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_170,c_56]) ).
cnf(c_7137,plain,
coll(sK26,sK26,sK28),
inference(superposition,[status(thm)],[c_163,c_7013]) ).
cnf(c_7138,plain,
( ~ coll(sK26,sK26,X0)
| coll(sK28,X0,sK26) ),
inference(superposition,[status(thm)],[c_7137,c_51]) ).
cnf(c_7140,plain,
coll(sK26,sK28,sK26),
inference(superposition,[status(thm)],[c_7137,c_49]) ).
cnf(c_7147,plain,
coll(sK25,sK25,sK27),
inference(superposition,[status(thm)],[c_165,c_7014]) ).
cnf(c_7148,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK27,X0,sK25) ),
inference(superposition,[status(thm)],[c_7147,c_51]) ).
cnf(c_7157,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_167,c_7015]) ).
cnf(c_7158,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK26,X0,sK22) ),
inference(superposition,[status(thm)],[c_7157,c_51]) ).
cnf(c_7179,plain,
coll(sK24,sK24,sK28),
inference(superposition,[status(thm)],[c_6923,c_7017]) ).
cnf(c_7184,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_7202,plain,
( ~ coll(sK26,sK28,X0)
| coll(sK26,X0,sK26) ),
inference(superposition,[status(thm)],[c_7140,c_51]) ).
cnf(c_7226,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK28,X0,sK24) ),
inference(superposition,[status(thm)],[c_7179,c_51]) ).
cnf(c_7228,plain,
coll(sK24,sK28,sK24),
inference(superposition,[status(thm)],[c_7179,c_49]) ).
cnf(c_7240,plain,
coll(sK24,sK24,sK27),
inference(superposition,[status(thm)],[c_6924,c_7018]) ).
cnf(c_7241,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK27,X0,sK24) ),
inference(superposition,[status(thm)],[c_7240,c_51]) ).
cnf(c_7246,plain,
( ~ coll(sK24,sK24,sK24)
| coll(sK27,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_7241]) ).
cnf(c_7359,plain,
coll(sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_6935,c_7025]) ).
cnf(c_7386,plain,
( ~ coll(sK24,sK28,X0)
| coll(sK24,X0,sK24) ),
inference(superposition,[status(thm)],[c_7228,c_51]) ).
cnf(c_7392,plain,
( ~ coll(sK24,sK28,sK24)
| coll(sK24,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_7386]) ).
cnf(c_7424,plain,
coll(sK28,sK28,sK26),
inference(superposition,[status(thm)],[c_7137,c_7138]) ).
cnf(c_7428,plain,
coll(sK28,sK26,sK28),
inference(superposition,[status(thm)],[c_7424,c_49]) ).
cnf(c_7437,plain,
coll(sK27,sK27,sK25),
inference(superposition,[status(thm)],[c_7147,c_7148]) ).
cnf(c_7441,plain,
coll(sK27,sK25,sK27),
inference(superposition,[status(thm)],[c_7437,c_49]) ).
cnf(c_7452,plain,
coll(sK26,sK26,sK22),
inference(superposition,[status(thm)],[c_7157,c_7158]) ).
cnf(c_7454,plain,
( ~ coll(sK26,sK26,X0)
| coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_7452,c_51]) ).
cnf(c_7589,plain,
( ~ coll(sK28,sK26,X0)
| coll(sK28,X0,sK28) ),
inference(superposition,[status(thm)],[c_7428,c_51]) ).
cnf(c_7595,plain,
( ~ coll(sK28,sK26,sK24)
| coll(sK28,sK24,sK28) ),
inference(instantiation,[status(thm)],[c_7589]) ).
cnf(c_7596,plain,
( ~ coll(sK27,sK25,X0)
| coll(sK27,X0,sK27) ),
inference(superposition,[status(thm)],[c_7441,c_51]) ).
cnf(c_7602,plain,
( ~ coll(sK27,sK25,sK24)
| coll(sK27,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_7596]) ).
cnf(c_7645,plain,
( ~ coll(sK23,sK24,sK31)
| perp(sK24,sK28,sK28,sK31) ),
inference(superposition,[status(thm)],[c_164,c_102]) ).
cnf(c_7646,plain,
( ~ coll(sK23,sK24,sK30)
| perp(sK24,sK27,sK27,sK30) ),
inference(superposition,[status(thm)],[c_166,c_102]) ).
cnf(c_7647,plain,
( ~ coll(sK23,sK20,sK29)
| perp(sK20,sK24,sK24,sK29) ),
inference(superposition,[status(thm)],[c_171,c_102]) ).
cnf(c_7753,plain,
( ~ coll(sK23,sK24,sK31)
| perp(sK28,sK31,sK24,sK28) ),
inference(superposition,[status(thm)],[c_7645,c_56]) ).
cnf(c_7754,plain,
( ~ coll(sK23,sK24,sK31)
| perp(sK24,sK28,sK31,sK28) ),
inference(superposition,[status(thm)],[c_7645,c_55]) ).
cnf(c_7772,plain,
( ~ coll(sK23,sK24,sK30)
| perp(sK27,sK30,sK24,sK27) ),
inference(superposition,[status(thm)],[c_7646,c_56]) ).
cnf(c_7773,plain,
( ~ coll(sK23,sK24,sK30)
| perp(sK24,sK27,sK30,sK27) ),
inference(superposition,[status(thm)],[c_7646,c_55]) ).
cnf(c_7793,plain,
( ~ coll(sK23,sK20,sK29)
| perp(sK24,sK29,sK20,sK24) ),
inference(superposition,[status(thm)],[c_7647,c_56]) ).
cnf(c_7794,plain,
( ~ coll(sK23,sK20,sK29)
| perp(sK20,sK24,sK29,sK24) ),
inference(superposition,[status(thm)],[c_7647,c_55]) ).
cnf(c_7897,plain,
( ~ perp(sK28,sK31,X0,X1)
| ~ coll(sK23,sK24,sK31)
| para(sK24,sK28,X0,X1) ),
inference(superposition,[status(thm)],[c_7645,c_57]) ).
cnf(c_7898,plain,
( ~ perp(sK27,sK30,X0,X1)
| ~ coll(sK23,sK24,sK30)
| para(sK24,sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_7646,c_57]) ).
cnf(c_7899,plain,
( ~ perp(sK24,sK29,X0,X1)
| ~ coll(sK23,sK20,sK29)
| para(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_7647,c_57]) ).
cnf(c_7903,plain,
( ~ perp(sK26,sK24,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_7109,c_57]) ).
cnf(c_7904,plain,
( ~ perp(sK25,sK24,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7110,c_57]) ).
cnf(c_8334,plain,
( ~ perp(sK24,sK28,X0,X1)
| ~ coll(sK23,sK24,sK31)
| para(sK28,sK31,X0,X1) ),
inference(superposition,[status(thm)],[c_7753,c_57]) ).
cnf(c_8335,plain,
( ~ coll(sK23,sK24,sK31)
| ~ midp(sK31,sK24,sK28)
| cong(sK28,sK24,sK28,sK28) ),
inference(superposition,[status(thm)],[c_7753,c_104]) ).
cnf(c_8353,plain,
( ~ coll(sK23,sK24,sK31)
| perp(sK31,sK28,sK24,sK28) ),
inference(superposition,[status(thm)],[c_7754,c_56]) ).
cnf(c_8368,plain,
( ~ perp(sK24,sK27,X0,X1)
| ~ coll(sK23,sK24,sK30)
| para(sK27,sK30,X0,X1) ),
inference(superposition,[status(thm)],[c_7772,c_57]) ).
cnf(c_8369,plain,
( ~ coll(sK23,sK24,sK30)
| ~ midp(sK30,sK24,sK27)
| cong(sK27,sK24,sK27,sK27) ),
inference(superposition,[status(thm)],[c_7772,c_104]) ).
cnf(c_8371,plain,
( ~ coll(sK23,sK24,sK30)
| perp(sK27,sK30,sK27,sK24) ),
inference(superposition,[status(thm)],[c_7772,c_55]) ).
cnf(c_8387,plain,
( ~ coll(sK23,sK24,sK30)
| perp(sK30,sK27,sK24,sK27) ),
inference(superposition,[status(thm)],[c_7773,c_56]) ).
cnf(c_8520,plain,
( ~ perp(sK20,sK24,X0,X1)
| ~ coll(sK23,sK20,sK29)
| para(sK24,sK29,X0,X1) ),
inference(superposition,[status(thm)],[c_7793,c_57]) ).
cnf(c_8523,plain,
( ~ coll(sK23,sK20,sK29)
| perp(sK24,sK29,sK24,sK20) ),
inference(superposition,[status(thm)],[c_7793,c_55]) ).
cnf(c_8667,plain,
coll(sK26,sK26,sK20),
inference(superposition,[status(thm)],[c_6948,c_7031]) ).
cnf(c_8826,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_168,c_7903]) ).
cnf(c_8951,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_170,c_7904]) ).
cnf(c_9122,plain,
( ~ perp(sK11(sK24,sK28,sK31,sK23),sK24,sK24,sK23)
| perp(sK24,sK23,sK11(sK24,sK28,sK31,sK23),sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_9123,plain,
( ~ perp(sK11(sK24,sK28,sK31,sK23),sK24,sK24,sK23)
| perp(sK11(sK24,sK28,sK31,sK23),sK24,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_9316,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_9329,plain,
( ~ para(sK24,sK24,sK24,sK24)
| ~ coll(sK24,sK24,sK24)
| cyclic(sK24,sK24,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_9316]) ).
cnf(c_9731,plain,
( ~ coll(sK23,sK24,sK31)
| para(sK24,sK28,sK24,sK28) ),
inference(superposition,[status(thm)],[c_7753,c_7897]) ).
cnf(c_9740,plain,
( ~ coll(sK23,sK24,sK30)
| para(sK24,sK27,sK24,sK27) ),
inference(superposition,[status(thm)],[c_7772,c_7898]) ).
cnf(c_10330,plain,
coll(sK28,sK20,sK26),
inference(superposition,[status(thm)],[c_8667,c_7138]) ).
cnf(c_10802,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK20)
| coll(X2,sK20,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_11063,plain,
( ~ para(sK20,sK22,sK20,sK22)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_8826,c_113]) ).
cnf(c_11065,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_8951,c_113]) ).
cnf(c_11072,plain,
( ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11065,c_8951]) ).
cnf(c_11078,plain,
( ~ midp(X0,sK20,sK20)
| midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11063,c_8826]) ).
cnf(c_11112,plain,
( ~ midp(sK24,sK20,sK20)
| midp(sK24,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_11072]) ).
cnf(c_11319,plain,
( ~ coll(sK23,sK31,sK24)
| coll(sK23,sK24,sK31) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_11432,plain,
( ~ coll(sK23,sK30,sK24)
| coll(sK23,sK24,sK30) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_11712,plain,
coll(sK28,sK26,sK20),
inference(superposition,[status(thm)],[c_10330,c_49]) ).
cnf(c_11741,plain,
( ~ coll(sK29,X0,X1)
| ~ coll(sK29,X0,sK24)
| coll(X1,sK24,sK29) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_11742,plain,
( ~ coll(sK29,sK24,sK24)
| coll(sK24,sK24,sK29) ),
inference(instantiation,[status(thm)],[c_11741]) ).
cnf(c_12609,plain,
( ~ coll(sK26,X0,sK22)
| coll(sK26,sK22,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_13865,plain,
( ~ perp(sK11(sK24,sK28,sK31,sK23),sK24,X0,X1)
| ~ perp(sK24,sK23,sK11(sK24,sK28,sK31,sK23),sK24)
| para(sK24,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_14086,plain,
coll(sK28,sK27,sK24),
inference(superposition,[status(thm)],[c_7240,c_7226]) ).
cnf(c_14316,plain,
coll(sK24,sK20,sK28),
inference(superposition,[status(thm)],[c_11712,c_7017]) ).
cnf(c_14591,plain,
coll(sK27,sK26,sK24),
inference(superposition,[status(thm)],[c_7359,c_7241]) ).
cnf(c_14606,plain,
( ~ coll(X0,sK20,X1)
| coll(X0,X1,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_14607,plain,
( ~ coll(sK24,sK20,sK24)
| coll(sK24,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_14606]) ).
cnf(c_14924,plain,
coll(sK28,sK24,sK27),
inference(superposition,[status(thm)],[c_14086,c_49]) ).
cnf(c_14953,plain,
coll(sK24,sK28,sK20),
inference(superposition,[status(thm)],[c_14316,c_49]) ).
cnf(c_17266,plain,
( ~ para(X0,X1,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X3)
| cong(X1,X3,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_92]) ).
cnf(c_17344,plain,
( ~ para(sK24,sK24,sK24,sK24)
| ~ cyclic(sK24,sK24,sK24,sK24)
| cong(sK24,sK24,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_17266]) ).
cnf(c_18778,plain,
( ~ para(sK20,sK22,sK20,sK22)
| eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_18783,plain,
( ~ para(sK20,sK22,sK20,sK22)
| eqangle(sK20,sK22,sK24,sK24,sK20,sK22,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_18778]) ).
cnf(c_18788,plain,
( ~ eqangle(X0,X1,X2,X3,sK20,sK22,sK20,sK22)
| ~ para(sK20,sK22,sK20,sK22)
| para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_18789,plain,
( ~ eqangle(sK24,sK24,sK24,sK24,sK20,sK22,sK20,sK22)
| ~ para(sK20,sK22,sK20,sK22)
| para(sK24,sK24,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_18788]) ).
cnf(c_18861,plain,
coll(sK27,sK24,sK26),
inference(superposition,[status(thm)],[c_14591,c_49]) ).
cnf(c_19193,plain,
coll(sK26,sK27,sK28),
inference(superposition,[status(thm)],[c_14924,c_7013]) ).
cnf(c_19235,plain,
coll(sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_14953,c_7386]) ).
cnf(c_19330,plain,
coll(sK26,sK28,sK27),
inference(superposition,[status(thm)],[c_19193,c_49]) ).
cnf(c_19373,plain,
coll(sK26,sK27,sK26),
inference(superposition,[status(thm)],[c_19330,c_7202]) ).
cnf(c_20171,plain,
( ~ coll(sK27,sK24,X0)
| coll(sK26,X0,sK27) ),
inference(superposition,[status(thm)],[c_18861,c_51]) ).
cnf(c_21163,plain,
coll(sK26,sK26,sK27),
inference(superposition,[status(thm)],[c_19373,c_49]) ).
cnf(c_21468,plain,
( ~ coll(sK23,sK24,sK31)
| ~ midp(sK28,sK24,sK28)
| cong(sK31,sK24,sK31,sK28) ),
inference(superposition,[status(thm)],[c_8353,c_104]) ).
cnf(c_21642,plain,
( ~ coll(sK23,sK24,sK30)
| perp(sK27,sK24,sK27,sK30) ),
inference(superposition,[status(thm)],[c_8371,c_56]) ).
cnf(c_21644,plain,
( ~ coll(sK23,sK24,sK30)
| para(sK24,sK27,sK27,sK24) ),
inference(superposition,[status(thm)],[c_8371,c_7898]) ).
cnf(c_21690,plain,
( ~ coll(sK23,sK24,sK30)
| ~ midp(sK27,sK24,sK27)
| cong(sK30,sK24,sK30,sK27) ),
inference(superposition,[status(thm)],[c_8387,c_104]) ).
cnf(c_21710,plain,
( ~ coll(sK23,sK20,sK29)
| para(sK20,sK24,sK24,sK20) ),
inference(superposition,[status(thm)],[c_8523,c_7899]) ).
cnf(c_22427,plain,
( ~ coll(sK29,X0,sK23)
| ~ coll(sK29,X0,sK20)
| coll(sK23,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_10802]) ).
cnf(c_22428,plain,
( ~ coll(sK29,sK24,sK23)
| ~ coll(sK29,sK24,sK20)
| coll(sK23,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_22427]) ).
cnf(c_22663,plain,
( ~ coll(sK31,sK28,X0)
| coll(sK31,X0,sK28) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_22664,plain,
( ~ coll(sK31,sK28,sK24)
| coll(sK31,sK24,sK28) ),
inference(instantiation,[status(thm)],[c_22663]) ).
cnf(c_22765,plain,
( ~ coll(sK30,sK27,X0)
| coll(sK30,X0,sK27) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_22766,plain,
( ~ coll(sK30,sK27,sK24)
| coll(sK30,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_22765]) ).
cnf(c_22812,plain,
( ~ para(sK24,sK28,sK24,sK28)
| ~ midp(X0,sK24,sK24)
| ~ coll(sK23,sK24,sK31)
| midp(X0,sK28,sK28) ),
inference(superposition,[status(thm)],[c_9731,c_113]) ).
cnf(c_22813,plain,
( ~ coll(sK28,X0,sK28)
| ~ midp(sK24,X0,sK24)
| ~ coll(sK23,sK24,sK31)
| midp(sK28,X0,sK28) ),
inference(superposition,[status(thm)],[c_9731,c_94]) ).
cnf(c_22827,plain,
( ~ coll(sK28,sK24,sK28)
| ~ coll(sK23,sK24,sK31)
| ~ midp(sK24,sK24,sK24)
| midp(sK28,sK24,sK28) ),
inference(instantiation,[status(thm)],[c_22813]) ).
cnf(c_22828,plain,
( ~ para(sK24,sK28,sK24,sK28)
| ~ coll(sK23,sK24,sK31)
| ~ midp(sK24,sK24,sK24)
| midp(sK24,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_22812]) ).
cnf(c_22833,plain,
( ~ para(sK24,sK27,sK24,sK27)
| ~ midp(X0,sK24,sK24)
| ~ coll(sK23,sK24,sK30)
| midp(X0,sK27,sK27) ),
inference(superposition,[status(thm)],[c_9740,c_113]) ).
cnf(c_22834,plain,
( ~ coll(sK27,X0,sK27)
| ~ midp(sK24,X0,sK24)
| ~ coll(sK23,sK24,sK30)
| midp(sK27,X0,sK27) ),
inference(superposition,[status(thm)],[c_9740,c_94]) ).
cnf(c_22848,plain,
( ~ coll(sK27,sK24,sK27)
| ~ coll(sK23,sK24,sK30)
| ~ midp(sK24,sK24,sK24)
| midp(sK27,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_22834]) ).
cnf(c_22849,plain,
( ~ para(sK24,sK27,sK24,sK27)
| ~ coll(sK23,sK24,sK30)
| ~ midp(sK24,sK24,sK24)
| midp(sK24,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_22833]) ).
cnf(c_22934,plain,
( ~ coll(sK24,X0,sK20)
| ~ coll(sK24,X0,sK29)
| coll(sK29,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_10802]) ).
cnf(c_22936,plain,
( ~ coll(sK24,sK24,sK20)
| ~ coll(sK24,sK24,sK29)
| coll(sK29,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_22934]) ).
cnf(c_23829,plain,
( ~ coll(sK23,sK24,sK30)
| para(sK27,sK24,sK24,sK27) ),
inference(superposition,[status(thm)],[c_21644,c_53]) ).
cnf(c_23886,plain,
( ~ coll(sK23,sK20,sK29)
| para(sK24,sK20,sK20,sK24) ),
inference(superposition,[status(thm)],[c_21710,c_53]) ).
cnf(c_24102,plain,
coll(sK22,sK27,sK26),
inference(superposition,[status(thm)],[c_21163,c_7454]) ).
cnf(c_26840,plain,
coll(sK22,sK26,sK27),
inference(superposition,[status(thm)],[c_24102,c_49]) ).
cnf(c_28199,plain,
( ~ para(sK23,X0,sK23,X1)
| coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_28200,plain,
( ~ para(sK23,sK24,sK23,sK24)
| coll(sK23,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_28199]) ).
cnf(c_28203,plain,
( ~ para(sK31,X0,sK31,sK24)
| coll(sK31,X0,sK24) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_28204,plain,
( ~ para(sK31,sK24,sK31,sK24)
| coll(sK31,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_28203]) ).
cnf(c_28207,plain,
( ~ para(sK30,X0,sK30,sK24)
| coll(sK30,X0,sK24) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_28208,plain,
( ~ para(sK30,sK24,sK30,sK24)
| coll(sK30,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_28207]) ).
cnf(c_28224,plain,
( ~ para(sK29,X0,sK29,sK24)
| coll(sK29,X0,sK24) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_28225,plain,
( ~ para(sK29,sK24,sK29,sK24)
| coll(sK29,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_28224]) ).
cnf(c_28419,plain,
coll(sK26,sK22,sK27),
inference(superposition,[status(thm)],[c_26840,c_50]) ).
cnf(c_29764,plain,
( ~ perp(sK11(sK24,sK28,sK31,sK23),sK24,sK23,sK24)
| ~ perp(sK24,sK23,sK11(sK24,sK28,sK31,sK23),sK24)
| para(sK24,sK23,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_13865]) ).
cnf(c_30060,plain,
( ~ para(X0,X1,sK28,sK21)
| ~ para(sK27,sK22,X0,X1)
| para(sK27,sK22,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_30061,plain,
( ~ para(sK27,sK22,sK24,sK24)
| ~ para(sK24,sK24,sK28,sK21)
| para(sK27,sK22,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_30060]) ).
cnf(c_31096,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK27,X0,sK26) ),
inference(superposition,[status(thm)],[c_28419,c_51]) ).
cnf(c_32636,plain,
( ~ coll(sK23,sK24,sK31)
| para(sK28,sK31,sK28,sK31) ),
inference(superposition,[status(thm)],[c_7645,c_8334]) ).
cnf(c_32725,plain,
( ~ para(sK28,sK31,sK28,sK31)
| ~ midp(X0,sK28,sK28)
| ~ coll(sK23,sK24,sK31)
| midp(X0,sK31,sK31) ),
inference(superposition,[status(thm)],[c_32636,c_113]) ).
cnf(c_32726,plain,
( ~ coll(sK31,X0,sK31)
| ~ midp(sK28,X0,sK28)
| ~ coll(sK23,sK24,sK31)
| midp(sK31,X0,sK31) ),
inference(superposition,[status(thm)],[c_32636,c_94]) ).
cnf(c_32743,plain,
( ~ para(sK28,sK31,sK28,sK31)
| ~ coll(sK23,sK24,sK31)
| ~ midp(sK24,sK28,sK28)
| midp(sK24,sK31,sK31) ),
inference(instantiation,[status(thm)],[c_32725]) ).
cnf(c_33682,plain,
( ~ coll(sK23,sK24,sK30)
| para(sK27,sK30,sK27,sK30) ),
inference(superposition,[status(thm)],[c_7646,c_8368]) ).
cnf(c_33683,plain,
( ~ coll(sK23,sK24,sK30)
| para(sK27,sK30,sK30,sK27) ),
inference(superposition,[status(thm)],[c_7773,c_8368]) ).
cnf(c_33742,plain,
( ~ para(sK27,sK30,sK27,sK30)
| ~ midp(X0,sK27,sK27)
| ~ coll(sK23,sK24,sK30)
| midp(X0,sK30,sK30) ),
inference(superposition,[status(thm)],[c_33682,c_113]) ).
cnf(c_33743,plain,
( ~ coll(sK30,X0,sK30)
| ~ midp(sK27,X0,sK27)
| ~ coll(sK23,sK24,sK30)
| midp(sK30,X0,sK30) ),
inference(superposition,[status(thm)],[c_33682,c_94]) ).
cnf(c_33760,plain,
( ~ para(sK27,sK30,sK27,sK30)
| ~ coll(sK23,sK24,sK30)
| ~ midp(sK24,sK27,sK27)
| midp(sK24,sK30,sK30) ),
inference(instantiation,[status(thm)],[c_33742]) ).
cnf(c_34127,plain,
( ~ coll(sK23,sK24,sK30)
| para(sK30,sK27,sK27,sK30) ),
inference(superposition,[status(thm)],[c_33683,c_53]) ).
cnf(c_36187,plain,
( ~ coll(sK29,sK23,X0)
| coll(sK29,X0,sK23) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_36188,plain,
( ~ coll(sK29,sK23,sK24)
| coll(sK29,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_36187]) ).
cnf(c_36496,plain,
( ~ coll(sK23,sK20,sK29)
| para(sK24,sK29,sK29,sK24) ),
inference(superposition,[status(thm)],[c_7794,c_8520]) ).
cnf(c_36552,plain,
( ~ eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1)
| eqangle(X0,X1,sK20,sK22,X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_36680,plain,
( ~ eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1)
| eqangle(sK20,sK22,sK20,sK22,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_36681,plain,
( ~ eqangle(sK20,sK22,sK24,sK24,sK20,sK22,sK24,sK24)
| eqangle(sK20,sK22,sK20,sK22,sK24,sK24,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_36680]) ).
cnf(c_36935,plain,
( ~ coll(sK23,sK20,sK29)
| para(sK29,sK24,sK24,sK29) ),
inference(superposition,[status(thm)],[c_36496,c_53]) ).
cnf(c_45263,plain,
( ~ para(sK24,sK23,sK23,sK24)
| para(sK23,sK24,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_66849,plain,
coll(sK28,sK26,sK24),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_66850,plain,
coll(sK27,sK25,sK24),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_67097,plain,
( ~ coll(sK28,sK24,X0)
| coll(sK26,X0,sK28) ),
inference(superposition,[status(thm)],[c_163,c_51]) ).
cnf(c_67098,plain,
( ~ coll(sK27,sK24,X0)
| coll(sK25,X0,sK27) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_67099,plain,
( ~ coll(sK26,sK20,X0)
| coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
cnf(c_67206,plain,
coll(sK26,sK26,sK28),
inference(superposition,[status(thm)],[c_163,c_67097]) ).
cnf(c_67207,plain,
( ~ coll(sK26,sK26,X0)
| coll(sK28,X0,sK26) ),
inference(superposition,[status(thm)],[c_67206,c_51]) ).
cnf(c_67216,plain,
coll(sK25,sK25,sK27),
inference(superposition,[status(thm)],[c_165,c_67098]) ).
cnf(c_67217,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK27,X0,sK25) ),
inference(superposition,[status(thm)],[c_67216,c_51]) ).
cnf(c_67226,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_167,c_67099]) ).
cnf(c_67227,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK26,X0,sK22) ),
inference(superposition,[status(thm)],[c_67226,c_51]) ).
cnf(c_67475,plain,
( ~ coll(sK23,sK24,sK31)
| perp(sK24,sK28,sK28,sK31) ),
inference(superposition,[status(thm)],[c_164,c_102]) ).
cnf(c_67476,plain,
( ~ coll(sK23,sK24,sK30)
| perp(sK24,sK27,sK27,sK30) ),
inference(superposition,[status(thm)],[c_166,c_102]) ).
cnf(c_67535,plain,
( ~ coll(sK23,sK24,sK31)
| perp(sK28,sK31,sK24,sK28) ),
inference(superposition,[status(thm)],[c_67475,c_56]) ).
cnf(c_67549,plain,
( ~ coll(sK23,sK24,sK30)
| perp(sK27,sK30,sK24,sK27) ),
inference(superposition,[status(thm)],[c_67476,c_56]) ).
cnf(c_67550,plain,
( ~ coll(sK23,sK24,sK30)
| perp(sK24,sK27,sK30,sK27) ),
inference(superposition,[status(thm)],[c_67476,c_55]) ).
cnf(c_67980,plain,
( ~ cong(X0,X1,X2,X3)
| ~ midp(X0,X4,X1)
| cong(X0,X4,X2,X3) ),
inference(superposition,[status(thm)],[c_117,c_73]) ).
cnf(c_68324,plain,
coll(sK28,sK28,sK26),
inference(superposition,[status(thm)],[c_67206,c_67207]) ).
cnf(c_68328,plain,
coll(sK28,sK26,sK28),
inference(superposition,[status(thm)],[c_68324,c_49]) ).
cnf(c_68412,plain,
coll(sK27,sK27,sK25),
inference(superposition,[status(thm)],[c_67216,c_67217]) ).
cnf(c_68416,plain,
coll(sK27,sK25,sK27),
inference(superposition,[status(thm)],[c_68412,c_49]) ).
cnf(c_68448,plain,
( ~ coll(sK23,sK24,sK31)
| ~ midp(sK31,sK24,sK28)
| cong(sK28,sK24,sK28,sK28) ),
inference(superposition,[status(thm)],[c_67535,c_104]) ).
cnf(c_68615,plain,
( ~ coll(sK23,sK24,sK30)
| ~ midp(sK30,sK24,sK27)
| cong(sK27,sK24,sK27,sK27) ),
inference(superposition,[status(thm)],[c_67549,c_104]) ).
cnf(c_68632,plain,
( ~ coll(sK23,sK24,sK30)
| perp(sK30,sK27,sK24,sK27) ),
inference(superposition,[status(thm)],[c_67550,c_56]) ).
cnf(c_68918,plain,
( ~ circle(X0,X0,X1,X2)
| ~ midp(X2,X1,X2)
| para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_87]) ).
cnf(c_78898,plain,
( ~ coll(sK31,X0,X1)
| ~ coll(sK31,X0,X2)
| coll(X1,X2,sK31) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_78899,plain,
( ~ coll(sK31,sK24,sK24)
| coll(sK24,sK24,sK31) ),
inference(instantiation,[status(thm)],[c_78898]) ).
cnf(c_79813,plain,
( ~ coll(sK30,X0,X1)
| ~ coll(sK30,X0,X2)
| coll(X1,X2,sK30) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_79814,plain,
( ~ coll(sK30,sK24,sK24)
| coll(sK24,sK24,sK30) ),
inference(instantiation,[status(thm)],[c_79813]) ).
cnf(c_86259,plain,
( ~ coll(X0,X1,sK28)
| ~ coll(X0,X1,sK31)
| coll(sK31,sK28,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_86260,plain,
( ~ coll(sK24,sK24,sK28)
| ~ coll(sK24,sK24,sK31)
| coll(sK31,sK28,sK24) ),
inference(instantiation,[status(thm)],[c_86259]) ).
cnf(c_86697,plain,
( ~ coll(X0,X1,sK27)
| ~ coll(X0,X1,sK30)
| coll(sK30,sK27,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_86698,plain,
( ~ coll(sK24,sK24,sK27)
| ~ coll(sK24,sK24,sK30)
| coll(sK30,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_86697]) ).
cnf(c_87978,plain,
( ~ coll(sK29,sK20,sK24)
| coll(sK29,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_14606]) ).
cnf(c_88765,plain,
( ~ coll(sK28,sK26,X0)
| coll(sK28,X0,sK28) ),
inference(superposition,[status(thm)],[c_68328,c_51]) ).
cnf(c_88858,plain,
( ~ coll(sK27,sK25,X0)
| coll(sK27,X0,sK27) ),
inference(superposition,[status(thm)],[c_68416,c_51]) ).
cnf(c_91972,plain,
coll(sK28,sK24,sK28),
inference(superposition,[status(thm)],[c_66849,c_88765]) ).
cnf(c_92909,plain,
coll(sK27,sK24,sK27),
inference(superposition,[status(thm)],[c_66850,c_88858]) ).
cnf(c_100463,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_7184,c_72]) ).
cnf(c_111558,plain,
( ~ coll(sK23,sK24,sK30)
| perp(sK27,sK24,sK30,sK27) ),
inference(superposition,[status(thm)],[c_21642,c_55]) ).
cnf(c_116574,plain,
( ~ coll(sK24,X0,sK23)
| ~ coll(sK24,X0,sK31)
| coll(sK23,sK31,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_116575,plain,
( ~ coll(sK24,sK24,sK23)
| ~ coll(sK24,sK24,sK31)
| coll(sK23,sK31,sK24) ),
inference(instantiation,[status(thm)],[c_116574]) ).
cnf(c_116602,plain,
( ~ coll(sK24,X0,sK23)
| ~ coll(sK24,X0,sK30)
| coll(sK23,sK30,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_116603,plain,
( ~ coll(sK24,sK24,sK23)
| ~ coll(sK24,sK24,sK30)
| coll(sK23,sK30,sK24) ),
inference(instantiation,[status(thm)],[c_116602]) ).
cnf(c_119102,plain,
( ~ para(X0,sK30,X0,sK27)
| para(X0,sK27,X0,sK30) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_119103,plain,
( ~ para(sK24,sK30,sK24,sK27)
| para(sK24,sK27,sK24,sK30) ),
inference(instantiation,[status(thm)],[c_119102]) ).
cnf(c_120413,plain,
( ~ coll(sK23,X0,X1)
| ~ coll(sK23,X0,sK24)
| coll(sK24,X1,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_120414,plain,
( ~ coll(sK23,sK24,sK24)
| coll(sK24,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_120413]) ).
cnf(c_120714,plain,
( ~ coll(X0,X1,sK23)
| ~ coll(X0,X1,sK29)
| coll(sK29,sK23,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_120715,plain,
( ~ coll(sK24,sK24,sK23)
| ~ coll(sK24,sK24,sK29)
| coll(sK29,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_120714]) ).
cnf(c_129039,plain,
( ~ eqangle(sK20,sK22,sK20,sK22,X0,X1,X0,X1)
| eqangle(X0,X1,X0,X1,sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_129043,plain,
( ~ eqangle(sK20,sK22,sK20,sK22,sK24,sK24,sK24,sK24)
| eqangle(sK24,sK24,sK24,sK24,sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_129039]) ).
cnf(c_129072,plain,
( ~ eqangle(X0,X1,sK20,sK22,X0,X1,sK20,sK22)
| para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_130649,plain,
( ~ para(sK23,X0,X1,sK23)
| para(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_130650,plain,
( ~ para(sK23,sK24,sK24,sK23)
| para(sK23,sK24,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_130649]) ).
cnf(c_132488,plain,
( ~ eqangle(sK29,X0,X1,X2,sK29,sK24,X1,X2)
| para(sK29,X0,sK29,sK24) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_132489,plain,
( ~ eqangle(sK29,sK24,sK24,sK24,sK29,sK24,sK24,sK24)
| para(sK29,sK24,sK29,sK24) ),
inference(instantiation,[status(thm)],[c_132488]) ).
cnf(c_132982,plain,
( ~ para(X0,sK24,X0,X1)
| eqangle(X0,sK24,sK29,sK24,X0,X1,sK29,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_132984,plain,
( ~ para(sK24,sK24,sK24,sK24)
| eqangle(sK24,sK24,sK29,sK24,sK24,sK24,sK29,sK24) ),
inference(instantiation,[status(thm)],[c_132982]) ).
cnf(c_133944,plain,
( ~ midp(X0,X1,sK24)
| ~ midp(sK31,X1,sK31)
| para(sK31,X0,sK31,sK24) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_133945,plain,
( ~ midp(sK24,sK24,sK24)
| ~ midp(sK31,sK24,sK31)
| para(sK31,sK24,sK31,sK24) ),
inference(instantiation,[status(thm)],[c_133944]) ).
cnf(c_133950,plain,
( ~ midp(X0,X1,sK24)
| ~ midp(sK30,X1,sK30)
| para(sK30,X0,sK30,sK24) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_133951,plain,
( ~ midp(sK24,sK24,sK24)
| ~ midp(sK30,sK24,sK30)
| para(sK30,sK24,sK30,sK24) ),
inference(instantiation,[status(thm)],[c_133950]) ).
cnf(c_133958,plain,
( ~ midp(X0,X1,X0)
| ~ midp(sK30,X1,sK27)
| para(X0,sK30,X0,sK27) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_133959,plain,
( ~ midp(sK24,sK24,sK24)
| ~ midp(sK30,sK24,sK27)
| para(sK24,sK30,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_133958]) ).
cnf(c_134227,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK28,X1,sK28)
| para(X0,sK28,X2,sK28) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_134228,plain,
( ~ midp(sK28,sK24,sK28)
| ~ midp(sK24,sK24,sK24)
| para(sK24,sK28,sK24,sK28) ),
inference(instantiation,[status(thm)],[c_134227]) ).
cnf(c_134694,plain,
( ~ midp(X0,X1,sK24)
| ~ midp(X0,sK31,sK31)
| para(sK31,X1,sK31,sK24) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_134695,plain,
( ~ midp(sK24,sK24,sK24)
| ~ midp(sK24,sK31,sK31)
| para(sK31,sK24,sK31,sK24) ),
inference(instantiation,[status(thm)],[c_134694]) ).
cnf(c_134700,plain,
( ~ midp(X0,X1,sK24)
| ~ midp(X0,sK30,sK30)
| para(sK30,X1,sK30,sK24) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_134701,plain,
( ~ midp(sK24,sK24,sK24)
| ~ midp(sK24,sK30,sK30)
| para(sK30,sK24,sK30,sK24) ),
inference(instantiation,[status(thm)],[c_134700]) ).
cnf(c_135004,plain,
( ~ cong(sK31,X0,sK31,sK28)
| ~ coll(sK31,X0,sK28)
| midp(sK31,X0,sK28) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_135005,plain,
( ~ cong(sK31,sK24,sK31,sK28)
| ~ coll(sK31,sK24,sK28)
| midp(sK31,sK24,sK28) ),
inference(instantiation,[status(thm)],[c_135004]) ).
cnf(c_135010,plain,
( ~ cong(sK30,X0,sK30,sK27)
| ~ coll(sK30,X0,sK27)
| midp(sK30,X0,sK27) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_135011,plain,
( ~ cong(sK30,sK24,sK30,sK27)
| ~ coll(sK30,sK24,sK27)
| midp(sK30,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_135010]) ).
cnf(c_135728,plain,
( ~ coll(sK23,sK24,sK30)
| para(sK27,sK24,sK27,sK24) ),
inference(superposition,[status(thm)],[c_23829,c_52]) ).
cnf(c_135797,plain,
( ~ coll(sK23,sK20,sK29)
| para(sK24,sK20,sK24,sK20) ),
inference(superposition,[status(thm)],[c_23886,c_52]) ).
cnf(c_139533,plain,
( ~ coll(sK23,sK24,sK30)
| para(sK30,sK27,sK30,sK27) ),
inference(superposition,[status(thm)],[c_34127,c_52]) ).
cnf(c_140795,plain,
( ~ coll(sK23,sK20,sK29)
| para(sK29,sK24,sK29,sK24) ),
inference(superposition,[status(thm)],[c_36935,c_52]) ).
cnf(c_145380,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_100463,c_71]) ).
cnf(c_146193,plain,
( ~ eqangle(X0,sK24,sK29,sK24,X0,X1,sK29,X2)
| eqangle(sK29,sK24,X0,sK24,sK29,X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_146194,plain,
( ~ eqangle(sK24,sK24,sK29,sK24,sK24,sK24,sK29,sK24)
| eqangle(sK29,sK24,sK24,sK24,sK29,sK24,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_146193]) ).
cnf(c_148455,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,sK28,sK21)
| para(X0,X1,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_148459,plain,
( ~ perp(sK24,sK24,sK28,sK21)
| ~ perp(sK24,sK24,sK24,sK24)
| para(sK24,sK24,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_148455]) ).
cnf(c_148525,plain,
( ~ cong(X0,sK28,X1,sK28)
| ~ cong(X0,sK21,X1,sK21)
| perp(X0,X1,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_148526,plain,
( ~ cong(sK24,sK28,sK24,sK28)
| ~ cong(sK24,sK21,sK24,sK21)
| perp(sK24,sK24,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_148525]) ).
cnf(c_151284,plain,
( ~ coll(sK23,sK24,sK30)
| ~ midp(sK24,sK30,sK27)
| cong(sK27,sK30,sK27,sK27) ),
inference(superposition,[status(thm)],[c_111558,c_104]) ).
cnf(c_153712,plain,
para(sK24,sK20,sK24,sK20),
inference(global_subsumption_just,[status(thm)],[c_135797,c_2220,c_8826,c_9123,c_9122,c_11742,c_14607,c_18783,c_18789,c_19235,c_22428,c_22936,c_28200,c_28225,c_29764,c_36188,c_36681,c_45263,c_87978,c_120414,c_120715,c_129043,c_130650,c_132489,c_132984,c_135797,c_146194]) ).
cnf(c_153714,plain,
( ~ para(sK24,sK20,sK24,sK20)
| ~ midp(X0,sK24,sK24)
| midp(X0,sK20,sK20) ),
inference(superposition,[status(thm)],[c_153712,c_113]) ).
cnf(c_153727,plain,
( ~ midp(X0,sK24,sK24)
| midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_153714,c_153712]) ).
cnf(c_153730,plain,
( ~ midp(sK24,sK24,sK24)
| midp(sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_153727]) ).
cnf(c_156531,plain,
para(sK29,sK24,sK29,sK24),
inference(global_subsumption_just,[status(thm)],[c_140795,c_8826,c_18783,c_18789,c_36681,c_129043,c_132489,c_132984,c_146194]) ).
cnf(c_156539,plain,
coll(sK29,sK24,sK24),
inference(superposition,[status(thm)],[c_156531,c_115]) ).
cnf(c_156566,plain,
coll(sK24,sK29,sK24),
inference(superposition,[status(thm)],[c_156539,c_50]) ).
cnf(c_156646,plain,
coll(sK24,sK24,sK29),
inference(superposition,[status(thm)],[c_156566,c_49]) ).
cnf(c_156697,plain,
coll(sK27,sK29,sK24),
inference(superposition,[status(thm)],[c_156646,c_7241]) ).
cnf(c_157764,plain,
coll(sK27,sK24,sK29),
inference(superposition,[status(thm)],[c_156697,c_49]) ).
cnf(c_158791,plain,
( ~ midp(X0,sK28,sK28)
| cong(X0,sK28,X0,sK28) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_158792,plain,
( ~ midp(sK24,sK28,sK28)
| cong(sK24,sK28,sK24,sK28) ),
inference(instantiation,[status(thm)],[c_158791]) ).
cnf(c_160459,plain,
coll(sK26,sK29,sK27),
inference(superposition,[status(thm)],[c_157764,c_20171]) ).
cnf(c_162260,plain,
( ~ coll(sK23,sK24,sK31)
| cong(sK28,sK24,sK28,sK28) ),
inference(global_subsumption_just,[status(thm)],[c_68448,c_178,c_6923,c_7102,c_7228,c_7392,c_7595,c_8335,c_8826,c_9329,c_9731,c_17344,c_18783,c_18789,c_21468,c_22664,c_22827,c_22828,c_28204,c_32636,c_32743,c_36681,c_78899,c_86260,c_129043,c_134695,c_135005]) ).
cnf(c_162268,plain,
( ~ coll(sK28,sK24,sK28)
| ~ coll(sK23,sK24,sK31)
| midp(sK28,sK24,sK28) ),
inference(superposition,[status(thm)],[c_162260,c_116]) ).
cnf(c_162281,plain,
( ~ coll(sK23,sK24,sK31)
| midp(sK28,sK24,sK28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_162268,c_91972]) ).
cnf(c_164493,plain,
( ~ coll(sK23,sK24,sK30)
| cong(sK27,sK24,sK27,sK27) ),
inference(global_subsumption_just,[status(thm)],[c_68615,c_178,c_6924,c_7101,c_7228,c_7392,c_7602,c_8369,c_8826,c_9329,c_9740,c_17344,c_18783,c_18789,c_21690,c_22766,c_22848,c_22849,c_28208,c_33682,c_33760,c_36681,c_79814,c_86698,c_129043,c_134701,c_135011]) ).
cnf(c_164501,plain,
( ~ coll(sK27,sK24,sK27)
| ~ coll(sK23,sK24,sK30)
| midp(sK27,sK24,sK27) ),
inference(superposition,[status(thm)],[c_164493,c_116]) ).
cnf(c_164514,plain,
( ~ coll(sK23,sK24,sK30)
| midp(sK27,sK24,sK27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164501,c_92909]) ).
cnf(c_166198,plain,
( ~ para(X0,sK27,X1,sK30)
| ~ para(X0,sK30,X1,sK27)
| ~ midp(X2,X0,X1)
| midp(X2,sK30,sK27) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_166199,plain,
( ~ para(sK24,sK27,sK24,sK30)
| ~ para(sK24,sK30,sK24,sK27)
| ~ midp(sK24,sK24,sK24)
| midp(sK24,sK30,sK27) ),
inference(instantiation,[status(thm)],[c_166198]) ).
cnf(c_168204,plain,
( ~ coll(sK26,sK29,X0)
| coll(sK27,X0,sK26) ),
inference(superposition,[status(thm)],[c_160459,c_51]) ).
cnf(c_188413,plain,
( ~ midp(sK27,X0,X1)
| ~ midp(sK22,X0,X2)
| para(sK27,sK22,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_188414,plain,
( ~ midp(sK27,sK24,sK24)
| ~ midp(sK22,sK24,sK24)
| para(sK27,sK22,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_188413]) ).
cnf(c_193829,plain,
para(X0,X1,X0,X1),
inference(global_subsumption_just,[status(thm)],[c_68918,c_8826,c_18778,c_36552,c_129072]) ).
cnf(c_193841,plain,
coll(X0,X1,X1),
inference(superposition,[status(thm)],[c_193829,c_115]) ).
cnf(c_194339,plain,
coll(X0,X1,X0),
inference(superposition,[status(thm)],[c_193841,c_50]) ).
cnf(c_194593,plain,
coll(X0,X0,X1),
inference(superposition,[status(thm)],[c_194339,c_49]) ).
cnf(c_194768,plain,
coll(sK26,X0,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_67227,c_194593]) ).
cnf(c_194795,plain,
( ~ coll(X0,X0,X1)
| coll(X2,X1,X0) ),
inference(superposition,[status(thm)],[c_194593,c_51]) ).
cnf(c_194798,plain,
coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_194795,c_194593]) ).
cnf(c_194799,plain,
midp(sK27,sK24,sK27),
inference(backward_subsumption_resolution,[status(thm)],[c_164514,c_194798]) ).
cnf(c_194800,plain,
cong(sK27,sK24,sK27,sK27),
inference(backward_subsumption_resolution,[status(thm)],[c_164493,c_194798]) ).
cnf(c_194801,plain,
midp(sK28,sK24,sK28),
inference(backward_subsumption_resolution,[status(thm)],[c_162281,c_194798]) ).
cnf(c_194846,plain,
perp(sK30,sK27,sK24,sK27),
inference(backward_subsumption_resolution,[status(thm)],[c_68632,c_194798]) ).
cnf(c_196943,plain,
cong(sK27,sK27,sK27,sK24),
inference(superposition,[status(thm)],[c_194800,c_72]) ).
cnf(c_197265,plain,
( ~ midp(sK27,sK24,sK27)
| cong(sK30,sK24,sK30,sK27) ),
inference(superposition,[status(thm)],[c_194846,c_104]) ).
cnf(c_197534,plain,
( ~ midp(sK27,X0,sK27)
| cong(sK27,X0,sK27,sK24) ),
inference(superposition,[status(thm)],[c_196943,c_67980]) ).
cnf(c_197564,plain,
( ~ midp(sK27,sK24,sK27)
| cong(sK27,sK24,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_197534]) ).
cnf(c_199224,plain,
coll(sK27,X0,sK26),
inference(global_subsumption_just,[status(thm)],[c_168204,c_12609,c_31096,c_194768]) ).
cnf(c_199228,plain,
coll(sK27,sK26,X0),
inference(superposition,[status(thm)],[c_199224,c_49]) ).
cnf(c_199852,plain,
( ~ coll(sK27,sK26,X0)
| coll(X1,X0,sK27) ),
inference(superposition,[status(thm)],[c_199228,c_51]) ).
cnf(c_199855,plain,
coll(X0,X1,sK27),
inference(forward_subsumption_resolution,[status(thm)],[c_199852,c_199228]) ).
cnf(c_200672,plain,
coll(X0,sK27,X1),
inference(superposition,[status(thm)],[c_199855,c_49]) ).
cnf(c_203478,plain,
( ~ coll(X0,sK27,X1)
| coll(X2,X1,X0) ),
inference(superposition,[status(thm)],[c_200672,c_51]) ).
cnf(c_203487,plain,
coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_203478,c_200672]) ).
cnf(c_203504,plain,
para(sK30,sK27,sK30,sK27),
inference(backward_subsumption_resolution,[status(thm)],[c_139533,c_203487]) ).
cnf(c_203507,plain,
para(sK27,sK24,sK27,sK24),
inference(backward_subsumption_resolution,[status(thm)],[c_135728,c_203487]) ).
cnf(c_203510,plain,
perp(sK27,sK24,sK30,sK27),
inference(backward_subsumption_resolution,[status(thm)],[c_111558,c_203487]) ).
cnf(c_203526,plain,
( ~ midp(sK27,X0,sK27)
| midp(sK30,X0,sK30) ),
inference(backward_subsumption_resolution,[status(thm)],[c_33743,c_203487]) ).
cnf(c_203529,plain,
( ~ midp(sK28,X0,sK28)
| midp(sK31,X0,sK31) ),
inference(backward_subsumption_resolution,[status(thm)],[c_32726,c_203487]) ).
cnf(c_203651,plain,
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_116,c_203487]) ).
cnf(c_203886,plain,
( ~ midp(sK28,sK24,sK28)
| midp(sK31,sK24,sK31) ),
inference(instantiation,[status(thm)],[c_203529]) ).
cnf(c_203887,plain,
( ~ midp(sK27,sK24,sK27)
| midp(sK30,sK24,sK30) ),
inference(instantiation,[status(thm)],[c_203526]) ).
cnf(c_205615,plain,
( ~ midp(X0,sK21,sK21)
| cong(X0,sK21,X0,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_205616,plain,
( ~ midp(sK24,sK21,sK21)
| cong(sK24,sK21,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_205615]) ).
cnf(c_214740,plain,
( ~ cong(sK27,X0,sK27,X1)
| ~ coll(sK27,X0,X1)
| midp(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_214741,plain,
( ~ cong(sK27,sK24,sK27,sK24)
| ~ coll(sK27,sK24,sK24)
| midp(sK27,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_214740]) ).
cnf(c_214951,plain,
( ~ para(sK30,sK27,sK30,sK27)
| ~ midp(X0,sK30,sK30)
| midp(X0,sK27,sK27) ),
inference(superposition,[status(thm)],[c_203504,c_113]) ).
cnf(c_214956,plain,
( ~ midp(X0,sK30,sK30)
| midp(X0,sK27,sK27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214951,c_203504]) ).
cnf(c_214969,plain,
( ~ para(sK27,sK24,sK27,sK24)
| ~ midp(X0,sK27,sK27)
| midp(X0,sK24,sK24) ),
inference(superposition,[status(thm)],[c_203507,c_113]) ).
cnf(c_214975,plain,
( ~ midp(X0,sK27,sK27)
| midp(X0,sK24,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_214969,c_203507]) ).
cnf(c_214988,plain,
( ~ midp(sK24,sK30,sK27)
| cong(sK27,sK30,sK27,sK27) ),
inference(superposition,[status(thm)],[c_203510,c_104]) ).
cnf(c_219123,plain,
( ~ midp(X0,X1,X1)
| midp(X1,X0,X0) ),
inference(superposition,[status(thm)],[c_145380,c_203651]) ).
cnf(c_219406,plain,
cong(sK27,sK30,sK27,sK27),
inference(global_subsumption_just,[status(thm)],[c_214988,c_178,c_2220,c_6924,c_7101,c_7228,c_7392,c_8826,c_9123,c_9122,c_9329,c_11432,c_17344,c_18783,c_18789,c_22766,c_28200,c_28208,c_29764,c_36681,c_45263,c_79814,c_86698,c_116603,c_119103,c_120414,c_129043,c_130650,c_133951,c_133959,c_135011,c_151284,c_166199,c_194799,c_197265,c_203887]) ).
cnf(c_219408,plain,
midp(sK27,sK30,sK27),
inference(superposition,[status(thm)],[c_219406,c_203651]) ).
cnf(c_219504,plain,
midp(sK30,sK30,sK30),
inference(superposition,[status(thm)],[c_219408,c_203526]) ).
cnf(c_219574,plain,
midp(sK30,sK27,sK27),
inference(superposition,[status(thm)],[c_219504,c_214956]) ).
cnf(c_219584,plain,
midp(sK30,sK24,sK24),
inference(superposition,[status(thm)],[c_219574,c_214975]) ).
cnf(c_219597,plain,
midp(sK30,sK20,sK20),
inference(superposition,[status(thm)],[c_219584,c_153727]) ).
cnf(c_219742,plain,
midp(sK30,sK22,sK22),
inference(superposition,[status(thm)],[c_219597,c_11078]) ).
cnf(c_221554,plain,
midp(sK22,sK30,sK30),
inference(superposition,[status(thm)],[c_219742,c_219123]) ).
cnf(c_222163,plain,
midp(sK22,sK27,sK27),
inference(superposition,[status(thm)],[c_221554,c_214956]) ).
cnf(c_226907,plain,
midp(sK22,sK24,sK24),
inference(superposition,[status(thm)],[c_222163,c_214975]) ).
cnf(c_226913,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_226907,c_214741,c_205616,c_203886,c_197564,c_194799,c_194801,c_188414,c_158792,c_153730,c_148526,c_148459,c_134228,c_133945,c_130650,c_129043,c_120414,c_116575,c_78899,c_45263,c_36681,c_30061,c_29764,c_28204,c_28200,c_22828,c_18789,c_18783,c_17344,c_11319,c_11112,c_9329,c_9122,c_9123,c_8826,c_7392,c_7246,c_7228,c_2220,c_187,c_178,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO626+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 22:38:03 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 58.43/8.78 % SZS status Started for theBenchmark.p
% 58.43/8.78 % SZS status Theorem for theBenchmark.p
% 58.43/8.78
% 58.43/8.78 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 58.43/8.78
% 58.43/8.78 ------ iProver source info
% 58.43/8.78
% 58.43/8.78 git: date: 2023-05-31 18:12:56 +0000
% 58.43/8.78 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 58.43/8.78 git: non_committed_changes: false
% 58.43/8.78 git: last_make_outside_of_git: false
% 58.43/8.78
% 58.43/8.78 ------ Parsing...
% 58.43/8.78 ------ Clausification by vclausify_rel & Parsing by iProver...
% 58.43/8.78
% 58.43/8.78 ------ 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
% 58.43/8.78
% 58.43/8.78 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 58.43/8.78
% 58.43/8.78 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 58.43/8.78 ------ Proving...
% 58.43/8.78 ------ Problem Properties
% 58.43/8.78
% 58.43/8.78
% 58.43/8.78 clauses 123
% 58.43/8.78 conjectures 11
% 58.43/8.78 EPR 86
% 58.43/8.78 Horn 113
% 58.43/8.78 unary 11
% 58.43/8.78 binary 37
% 58.43/8.78 lits 339
% 58.43/8.78 lits eq 4
% 58.43/8.78 fd_pure 0
% 58.43/8.78 fd_pseudo 0
% 58.43/8.78 fd_cond 0
% 58.43/8.78 fd_pseudo_cond 4
% 58.43/8.78 AC symbols 0
% 58.43/8.78
% 58.43/8.78 ------ Schedule dynamic 5 is on
% 58.43/8.78
% 58.43/8.78 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 58.43/8.78
% 58.43/8.78
% 58.43/8.78 ------
% 58.43/8.78 Current options:
% 58.43/8.78 ------
% 58.43/8.78
% 58.43/8.78
% 58.43/8.78
% 58.43/8.78
% 58.43/8.78 ------ Proving...
% 58.43/8.78
% 58.43/8.78
% 58.43/8.78 % SZS status Theorem for theBenchmark.p
% 58.43/8.78
% 58.43/8.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 58.43/8.79
% 58.43/8.79
%------------------------------------------------------------------------------