TSTP Solution File: GEO592+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO592+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 23:11:58 EDT 2023
% Result : Theorem 28.74s 4.72s
% Output : CNFRefutation 28.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 31
% Syntax : Number of formulae : 319 ( 62 unt; 0 def)
% Number of atoms : 864 ( 0 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 905 ( 360 ~; 351 |; 145 &)
% ( 0 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-5 aty)
% Number of variables : 860 ( 0 sgn; 594 !; 45 ?)
% 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(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(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(f29,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqratio(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD29) ).
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(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(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/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(f66,axiom,
! [X0,X1,X2,X3,X7] :
( ( coll(X7,X1,X3)
& coll(X7,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X7,X0,X0,X2,X7,X1,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD65) ).
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(f76,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( cong(X8,X9,X10,X11)
& eqratio(X0,X1,X2,X3,X8,X9,X10,X11) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD75) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X1,X2,X0,X3,X7,X6,X12,X5,X4,X18,X19,X20] :
( ( coll(X4,X1,X6)
& coll(X4,X0,X3)
& coll(X5,X1,X6)
& coll(X5,X2,X0)
& circle(X7,X0,X12,X20)
& coll(X12,X1,X6)
& coll(X6,X0,X7)
& perp(X6,X1,X0,X7)
& circle(X7,X0,X18,X19)
& midp(X7,X2,X1)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2)
& perp(X0,X1,X0,X2) )
=> cong(X4,X0,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416054) ).
fof(f96,negated_conjecture,
~ ! [X1,X2,X0,X3,X7,X6,X12,X5,X4,X18,X19,X20] :
( ( coll(X4,X1,X6)
& coll(X4,X0,X3)
& coll(X5,X1,X6)
& coll(X5,X2,X0)
& circle(X7,X0,X12,X20)
& coll(X12,X1,X6)
& coll(X6,X0,X7)
& perp(X6,X1,X0,X7)
& circle(X7,X0,X18,X19)
& midp(X7,X2,X1)
& coll(X3,X1,X2)
& perp(X3,X0,X1,X2)
& perp(X0,X1,X0,X2) )
=> cong(X4,X0,X4,X1) ),
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(f108,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f29]) ).
fof(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(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(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(f144,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X1,X3)
& coll(X4,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(rectify,[],[f66]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( cong(X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
inference(rectify,[],[f76]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X8,X0,X5)
& coll(X8,X2,X3)
& coll(X7,X0,X5)
& coll(X7,X1,X2)
& circle(X4,X2,X6,X11)
& coll(X6,X0,X5)
& coll(X5,X2,X4)
& perp(X5,X0,X2,X4)
& circle(X4,X2,X9,X10)
& midp(X4,X1,X0)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) )
=> cong(X8,X2,X8,X0) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(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(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f200]) ).
fof(f205,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f108]) ).
fof(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(f229,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f229]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f242]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
fof(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(f265,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f144]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f265]) ).
fof(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(f282,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f148]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f282]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f311]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cong(X8,X2,X8,X0)
& coll(X8,X0,X5)
& coll(X8,X2,X3)
& coll(X7,X0,X5)
& coll(X7,X1,X2)
& circle(X4,X2,X6,X11)
& coll(X6,X0,X5)
& coll(X5,X2,X4)
& perp(X5,X0,X2,X4)
& circle(X4,X2,X9,X10)
& midp(X4,X1,X0)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cong(X8,X2,X8,X0)
& coll(X8,X0,X5)
& coll(X8,X2,X3)
& coll(X7,X0,X5)
& coll(X7,X1,X2)
& circle(X4,X2,X6,X11)
& coll(X6,X0,X5)
& coll(X5,X2,X4)
& perp(X5,X0,X2,X4)
& circle(X4,X2,X9,X10)
& midp(X4,X1,X0)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) ),
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(f350,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) )
=> ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cong(X8,X2,X8,X0)
& coll(X8,X0,X5)
& coll(X8,X2,X3)
& coll(X7,X0,X5)
& coll(X7,X1,X2)
& circle(X4,X2,X6,X11)
& coll(X6,X0,X5)
& coll(X5,X2,X4)
& perp(X5,X0,X2,X4)
& circle(X4,X2,X9,X10)
& midp(X4,X1,X0)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) )
=> ( ~ cong(sK28,sK22,sK28,sK20)
& coll(sK28,sK20,sK25)
& coll(sK28,sK22,sK23)
& coll(sK27,sK20,sK25)
& coll(sK27,sK21,sK22)
& circle(sK24,sK22,sK26,sK31)
& coll(sK26,sK20,sK25)
& coll(sK25,sK22,sK24)
& perp(sK25,sK20,sK22,sK24)
& circle(sK24,sK22,sK29,sK30)
& midp(sK24,sK21,sK20)
& coll(sK23,sK20,sK21)
& perp(sK23,sK22,sK20,sK21)
& perp(sK22,sK20,sK22,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cong(sK28,sK22,sK28,sK20)
& coll(sK28,sK20,sK25)
& coll(sK28,sK22,sK23)
& coll(sK27,sK20,sK25)
& coll(sK27,sK21,sK22)
& circle(sK24,sK22,sK26,sK31)
& coll(sK26,sK20,sK25)
& coll(sK25,sK22,sK24)
& perp(sK25,sK20,sK22,sK24)
& circle(sK24,sK22,sK29,sK30)
& midp(sK24,sK21,sK20)
& coll(sK23,sK20,sK21)
& perp(sK23,sK22,sK20,sK21)
& perp(sK22,sK20,sK22,sK21) ),
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(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(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f388,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f205]) ).
fof(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(f405,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(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(f425,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f266]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f283]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f473,plain,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
perp(sK23,sK22,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
coll(sK23,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
midp(sK24,sK21,sK20),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
perp(sK25,sK20,sK22,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
coll(sK25,sK22,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
circle(sK24,sK22,sK26,sK31),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
coll(sK27,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f484,plain,
coll(sK28,sK22,sK23),
inference(cnf_transformation,[],[f359]) ).
fof(f485,plain,
coll(sK28,sK20,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f486,plain,
~ cong(sK28,sK22,sK28,sK20),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_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_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_77,plain,
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_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_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_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_114,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(cnf_transformation,[],[f425]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_124,plain,
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f435]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_155,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,X3,X4)
| perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_162,negated_conjecture,
~ cong(sK28,sK22,sK28,sK20),
inference(cnf_transformation,[],[f486]) ).
cnf(c_163,negated_conjecture,
coll(sK28,sK20,sK25),
inference(cnf_transformation,[],[f485]) ).
cnf(c_164,negated_conjecture,
coll(sK28,sK22,sK23),
inference(cnf_transformation,[],[f484]) ).
cnf(c_166,negated_conjecture,
coll(sK27,sK21,sK22),
inference(cnf_transformation,[],[f482]) ).
cnf(c_167,negated_conjecture,
circle(sK24,sK22,sK26,sK31),
inference(cnf_transformation,[],[f481]) ).
cnf(c_169,negated_conjecture,
coll(sK25,sK22,sK24),
inference(cnf_transformation,[],[f479]) ).
cnf(c_170,negated_conjecture,
perp(sK25,sK20,sK22,sK24),
inference(cnf_transformation,[],[f478]) ).
cnf(c_172,negated_conjecture,
midp(sK24,sK21,sK20),
inference(cnf_transformation,[],[f476]) ).
cnf(c_173,negated_conjecture,
coll(sK23,sK20,sK21),
inference(cnf_transformation,[],[f475]) ).
cnf(c_174,negated_conjecture,
perp(sK23,sK22,sK20,sK21),
inference(cnf_transformation,[],[f474]) ).
cnf(c_175,negated_conjecture,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f473]) ).
cnf(c_181,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_185,plain,
( ~ para(sK22,sK22,sK22,sK22)
| eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_239,plain,
( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK22,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_372,plain,
( ~ coll(sK28,sK22,sK23)
| coll(sK22,sK28,sK23) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_374,plain,
( ~ coll(sK27,sK21,sK22)
| coll(sK21,sK27,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_384,plain,
( ~ perp(sK25,sK20,sK22,sK24)
| perp(sK22,sK24,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_385,plain,
( ~ perp(sK23,sK22,sK20,sK21)
| perp(sK20,sK21,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_403,plain,
( ~ midp(sK24,X0,X1)
| ~ midp(sK24,sK21,sK20)
| para(X0,sK21,X1,sK20) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_404,plain,
( ~ midp(sK24,sK22,sK22)
| ~ midp(sK24,sK21,sK20)
| para(sK22,sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_403]) ).
cnf(c_405,plain,
( ~ perp(sK21,X0,X0,sK20)
| ~ midp(sK24,sK21,sK20)
| cong(sK21,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_406,plain,
( ~ perp(sK21,sK22,sK22,sK20)
| ~ midp(sK24,sK21,sK20)
| cong(sK21,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_405]) ).
cnf(c_411,plain,
( ~ circle(sK24,sK22,sK26,sK31)
| perp(sK11(sK22,sK26,sK31,sK24),sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_440,plain,
coll(sK28,sK23,sK22),
inference(superposition,[status(thm)],[c_164,c_49]) ).
cnf(c_442,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_166,c_49]) ).
cnf(c_444,plain,
coll(sK25,sK24,sK22),
inference(superposition,[status(thm)],[c_169,c_49]) ).
cnf(c_445,plain,
coll(sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_173,c_49]) ).
cnf(c_465,plain,
coll(sK20,sK28,sK25),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_466,plain,
coll(sK22,sK28,sK23),
inference(superposition,[status(thm)],[c_164,c_50]) ).
cnf(c_470,plain,
coll(sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_169,c_50]) ).
cnf(c_471,plain,
coll(sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_173,c_50]) ).
cnf(c_475,plain,
coll(sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_442,c_50]) ).
cnf(c_510,plain,
coll(sK20,sK25,sK28),
inference(superposition,[status(thm)],[c_465,c_49]) ).
cnf(c_527,plain,
coll(sK22,sK23,sK28),
inference(superposition,[status(thm)],[c_466,c_49]) ).
cnf(c_580,plain,
( ~ coll(sK22,sK28,X0)
| ~ coll(sK22,sK28,sK23)
| coll(X0,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_581,plain,
( ~ coll(sK22,sK28,sK22)
| ~ coll(sK22,sK28,sK23)
| coll(sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_580]) ).
cnf(c_586,plain,
perp(sK22,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_175,c_55]) ).
cnf(c_595,plain,
perp(sK22,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_175,c_56]) ).
cnf(c_598,plain,
( ~ coll(sK21,sK27,X0)
| ~ coll(sK21,sK27,sK22)
| coll(X0,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_599,plain,
( ~ coll(sK21,sK27,sK22)
| coll(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_598]) ).
cnf(c_632,plain,
perp(sK21,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_586,c_56]) ).
cnf(c_666,plain,
perp(sK22,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_595,c_55]) ).
cnf(c_738,plain,
( ~ coll(sK27,sK21,X0)
| coll(sK22,X0,sK27) ),
inference(superposition,[status(thm)],[c_166,c_51]) ).
cnf(c_741,plain,
( ~ coll(sK23,sK20,X0)
| coll(sK21,X0,sK23) ),
inference(superposition,[status(thm)],[c_173,c_51]) ).
cnf(c_743,plain,
( ~ coll(sK28,sK23,X0)
| coll(sK22,X0,sK28) ),
inference(superposition,[status(thm)],[c_440,c_51]) ).
cnf(c_747,plain,
( ~ coll(sK25,sK24,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_444,c_51]) ).
cnf(c_748,plain,
( ~ coll(sK23,sK21,X0)
| coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_445,c_51]) ).
cnf(c_754,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_470,c_51]) ).
cnf(c_755,plain,
( ~ coll(sK20,sK23,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_471,c_51]) ).
cnf(c_757,plain,
( ~ coll(sK22,sK23,X0)
| coll(sK28,X0,sK22) ),
inference(superposition,[status(thm)],[c_527,c_51]) ).
cnf(c_762,plain,
( ~ coll(sK22,sK27,X0)
| coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_475,c_51]) ).
cnf(c_766,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK28,X0,sK20) ),
inference(superposition,[status(thm)],[c_510,c_51]) ).
cnf(c_787,plain,
( ~ coll(sK22,sK23,sK22)
| coll(sK28,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_757]) ).
cnf(c_789,plain,
( ~ coll(sK20,sK23,sK22)
| coll(sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_755]) ).
cnf(c_790,plain,
( ~ coll(sK22,sK25,sK22)
| coll(sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_754]) ).
cnf(c_795,plain,
( ~ coll(sK23,sK21,sK22)
| coll(sK20,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_748]) ).
cnf(c_835,plain,
( ~ perp(X0,X1,sK22,sK24)
| ~ perp(sK22,sK24,sK25,sK20)
| para(X0,X1,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_836,plain,
( ~ perp(sK22,sK22,sK22,sK24)
| ~ perp(sK22,sK24,sK25,sK20)
| para(sK22,sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_835]) ).
cnf(c_845,plain,
( ~ perp(X0,X1,sK20,sK21)
| ~ perp(sK20,sK21,sK23,sK22)
| para(X0,X1,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_887,plain,
( ~ perp(sK11(sK22,sK26,sK31,sK24),sK22,sK22,sK24)
| ~ coll(sK24,X0,X1)
| perp(sK16(sK11(sK22,sK26,sK31,sK24),sK24,sK22,X0,X1),sK11(sK22,sK26,sK31,sK24),X0,X1) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_890,plain,
( ~ perp(sK11(sK22,sK26,sK31,sK24),sK22,sK22,sK24)
| ~ coll(sK24,sK22,sK22)
| perp(sK16(sK11(sK22,sK26,sK31,sK24),sK24,sK22,sK22,sK22),sK11(sK22,sK26,sK31,sK24),sK22,sK22) ),
inference(instantiation,[status(thm)],[c_887]) ).
cnf(c_920,plain,
coll(sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_166,c_738]) ).
cnf(c_923,plain,
coll(sK22,sK27,sK22),
inference(superposition,[status(thm)],[c_920,c_49]) ).
cnf(c_963,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_173,c_741]) ).
cnf(c_975,plain,
coll(sK28,sK23,sK22),
inference(superposition,[status(thm)],[c_164,c_49]) ).
cnf(c_977,plain,
coll(sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_166,c_49]) ).
cnf(c_979,plain,
coll(sK25,sK24,sK22),
inference(superposition,[status(thm)],[c_169,c_49]) ).
cnf(c_989,plain,
coll(sK20,sK28,sK25),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_990,plain,
coll(sK22,sK28,sK23),
inference(superposition,[status(thm)],[c_164,c_50]) ).
cnf(c_995,plain,
coll(sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_173,c_50]) ).
cnf(c_1014,plain,
coll(sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_977,c_50]) ).
cnf(c_1023,plain,
coll(sK20,sK25,sK28),
inference(superposition,[status(thm)],[c_989,c_49]) ).
cnf(c_1026,plain,
coll(sK22,sK22,sK28),
inference(superposition,[status(thm)],[c_975,c_743]) ).
cnf(c_1028,plain,
coll(sK22,sK23,sK28),
inference(superposition,[status(thm)],[c_990,c_49]) ).
cnf(c_1046,plain,
perp(sK22,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_666,c_55]) ).
cnf(c_1064,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_979,c_747]) ).
cnf(c_1120,plain,
coll(sK22,sK28,sK22),
inference(superposition,[status(thm)],[c_1026,c_49]) ).
cnf(c_1157,plain,
( ~ coll(sK22,sK27,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_923,c_51]) ).
cnf(c_1164,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK23,X0,sK21) ),
inference(superposition,[status(thm)],[c_963,c_51]) ).
cnf(c_1169,plain,
( ~ coll(sK21,sK21,sK22)
| coll(sK23,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_1164]) ).
cnf(c_1176,plain,
( ~ coll(sK22,sK27,sK22)
| coll(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_1157]) ).
cnf(c_1185,plain,
( ~ cong(sK21,sK24,X0,sK24)
| cong(X0,sK24,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_1188,plain,
( ~ cong(sK21,sK24,sK22,sK24)
| cong(sK22,sK24,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_1185]) ).
cnf(c_1189,plain,
( ~ cong(X0,X1,sK21,sK24)
| ~ cong(sK21,sK24,X2,sK24)
| cong(X0,X1,X2,sK24) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_1228,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_995,c_755]) ).
cnf(c_1253,plain,
coll(sK28,sK28,sK22),
inference(superposition,[status(thm)],[c_1028,c_757]) ).
cnf(c_1342,plain,
coll(sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_1014,c_762]) ).
cnf(c_1371,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_1064,c_49]) ).
cnf(c_1521,plain,
coll(sK28,sK28,sK20),
inference(superposition,[status(thm)],[c_1023,c_766]) ).
cnf(c_1579,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_1228,c_51]) ).
cnf(c_1582,plain,
( ~ coll(sK21,sK21,sK22)
| coll(sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_1579]) ).
cnf(c_1600,plain,
midp(sK24,sK20,sK21),
inference(resolution,[status(thm)],[c_59,c_172]) ).
cnf(c_1633,plain,
( ~ midp(sK20,sK22,sK21)
| cong(sK22,sK22,sK22,sK21) ),
inference(superposition,[status(thm)],[c_175,c_104]) ).
cnf(c_1731,plain,
( ~ perp(sK22,sK21,X0,X1)
| para(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_175,c_57]) ).
cnf(c_1754,plain,
( ~ perp(sK22,sK21,sK22,sK22)
| para(sK22,sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_1731]) ).
cnf(c_1865,plain,
perp(sK25,sK20,sK24,sK22),
inference(resolution,[status(thm)],[c_55,c_170]) ).
cnf(c_1867,plain,
perp(sK22,sK20,sK21,sK22),
inference(resolution,[status(thm)],[c_55,c_175]) ).
cnf(c_1982,plain,
( ~ coll(sK22,sK22,sK21)
| ~ midp(sK20,sK22,sK21)
| midp(sK22,sK22,sK21) ),
inference(superposition,[status(thm)],[c_1633,c_116]) ).
cnf(c_1984,plain,
( ~ midp(sK20,sK22,sK21)
| cong(sK22,sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_1633,c_71]) ).
cnf(c_2370,plain,
( ~ coll(sK20,sK28,X0)
| coll(sK28,sK20,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2371,plain,
( ~ coll(sK20,sK28,sK22)
| coll(sK28,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_2370]) ).
cnf(c_2557,plain,
( ~ midp(sK21,sK22,sK20)
| cong(sK22,sK22,sK22,sK20) ),
inference(superposition,[status(thm)],[c_1046,c_104]) ).
cnf(c_3202,plain,
( ~ coll(sK28,sK28,X0)
| coll(sK20,X0,sK28) ),
inference(superposition,[status(thm)],[c_1521,c_51]) ).
cnf(c_3205,plain,
( ~ coll(sK28,sK28,sK22)
| coll(sK20,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_3202]) ).
cnf(c_3729,plain,
( ~ cong(sK22,X0,sK21,X0)
| ~ midp(sK20,sK22,sK21)
| perp(sK22,sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_1984,c_105]) ).
cnf(c_3730,plain,
( ~ cong(sK22,sK22,sK21,sK22)
| ~ midp(sK20,sK22,sK21)
| perp(sK22,sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_3729]) ).
cnf(c_3923,plain,
( ~ coll(sK23,X0,sK21)
| coll(sK23,sK21,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3924,plain,
( ~ coll(sK23,sK22,sK21)
| coll(sK23,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_3923]) ).
cnf(c_3956,plain,
( ~ coll(sK20,X0,sK28)
| coll(sK20,sK28,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3957,plain,
( ~ coll(sK20,sK22,sK28)
| coll(sK20,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_3956]) ).
cnf(c_4015,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_4019,plain,
( ~ para(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| cyclic(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_4015]) ).
cnf(c_4021,plain,
( ~ coll(sK20,X0,sK23)
| coll(sK20,sK23,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_4022,plain,
( ~ coll(sK20,sK22,sK23)
| coll(sK20,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_4021]) ).
cnf(c_4393,plain,
( ~ midp(sK24,X0,X1)
| para(X0,sK21,X1,sK20) ),
inference(resolution,[status(thm)],[c_112,c_172]) ).
cnf(c_4395,plain,
( ~ midp(sK24,X0,X1)
| para(X0,sK20,X1,sK21) ),
inference(resolution,[status(thm)],[c_112,c_1600]) ).
cnf(c_4809,plain,
( ~ cong(X0,sK24,sK21,sK24)
| ~ cong(sK21,sK24,X1,sK24)
| cong(X0,sK24,X1,sK24) ),
inference(instantiation,[status(thm)],[c_1189]) ).
cnf(c_4810,plain,
( ~ cong(sK22,sK24,sK21,sK24)
| ~ cong(sK21,sK24,sK22,sK24)
| cong(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_4809]) ).
cnf(c_4845,plain,
( ~ perp(sK16(sK11(sK22,sK26,sK31,sK24),sK24,sK22,X0,X1),sK11(sK22,sK26,sK31,sK24),X0,X1)
| perp(X0,X1,sK16(sK11(sK22,sK26,sK31,sK24),sK24,sK22,X0,X1),sK11(sK22,sK26,sK31,sK24)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_4847,plain,
( ~ perp(sK16(sK11(sK22,sK26,sK31,sK24),sK24,sK22,sK22,sK22),sK11(sK22,sK26,sK31,sK24),sK22,sK22)
| perp(sK22,sK22,sK16(sK11(sK22,sK26,sK31,sK24),sK24,sK22,sK22,sK22),sK11(sK22,sK26,sK31,sK24)) ),
inference(instantiation,[status(thm)],[c_4845]) ).
cnf(c_4848,plain,
( ~ perp(sK16(sK11(sK22,sK26,sK31,sK24),sK24,sK22,X0,X1),sK11(sK22,sK26,sK31,sK24),X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK22,sK26,sK31,sK24),sK24,sK22,X0,X1),sK11(sK22,sK26,sK31,sK24))
| para(X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_4849,plain,
( ~ perp(sK16(sK11(sK22,sK26,sK31,sK24),sK24,sK22,sK22,sK22),sK11(sK22,sK26,sK31,sK24),sK22,sK22)
| ~ perp(sK22,sK22,sK16(sK11(sK22,sK26,sK31,sK24),sK24,sK22,sK22,sK22),sK11(sK22,sK26,sK31,sK24))
| para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_4848]) ).
cnf(c_5446,plain,
( ~ para(X0,X1,sK23,sK22)
| perp(X0,X1,sK20,sK21) ),
inference(resolution,[status(thm)],[c_58,c_174]) ).
cnf(c_5450,plain,
( ~ para(X0,X1,sK25,sK20)
| perp(X0,X1,sK24,sK22) ),
inference(resolution,[status(thm)],[c_58,c_1865]) ).
cnf(c_5454,plain,
( ~ para(X0,X1,sK22,sK20)
| perp(X0,X1,sK21,sK22) ),
inference(resolution,[status(thm)],[c_58,c_1867]) ).
cnf(c_7661,plain,
( ~ para(X0,sK20,sK23,sK22)
| ~ midp(X1,X0,sK21)
| cong(X0,X1,sK20,X1) ),
inference(resolution,[status(thm)],[c_5446,c_101]) ).
cnf(c_7662,plain,
( ~ para(sK22,sK20,sK23,sK22)
| ~ midp(sK22,sK22,sK21)
| cong(sK22,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7661]) ).
cnf(c_7894,plain,
( ~ para(X0,X1,sK25,sK20)
| perp(sK24,sK22,X0,X1) ),
inference(resolution,[status(thm)],[c_5450,c_56]) ).
cnf(c_7897,plain,
( ~ para(sK22,sK22,sK25,sK20)
| perp(sK24,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_7894]) ).
cnf(c_7992,plain,
( ~ para(X0,sK21,sK22,sK20)
| ~ midp(X1,X0,sK22)
| cong(X0,X1,sK21,X1) ),
inference(resolution,[status(thm)],[c_5454,c_101]) ).
cnf(c_7993,plain,
( ~ para(sK22,sK21,sK22,sK20)
| ~ midp(sK22,sK22,sK22)
| cong(sK22,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_7992]) ).
cnf(c_8219,plain,
( ~ cong(sK24,X0,sK24,X1)
| ~ coll(sK24,X0,X1)
| midp(sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_8220,plain,
( ~ cong(sK24,sK22,sK24,sK22)
| ~ coll(sK24,sK22,sK22)
| midp(sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_8219]) ).
cnf(c_8816,plain,
( ~ circle(X0,X1,sK20,sK21)
| ~ coll(X0,X1,sK21)
| perp(X1,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_8817,plain,
( ~ perp(X0,sK20,sK20,sK21)
| ~ perp(sK20,sK21,sK23,sK22)
| para(X0,sK20,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_845]) ).
cnf(c_8818,plain,
( ~ circle(sK22,sK22,sK20,sK21)
| ~ coll(sK22,sK22,sK21)
| perp(sK22,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_8816]) ).
cnf(c_8819,plain,
( ~ perp(sK22,sK20,sK20,sK21)
| ~ perp(sK20,sK21,sK23,sK22)
| para(sK22,sK20,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_8817]) ).
cnf(c_9712,plain,
( ~ perp(sK24,X0,X1,X2)
| ~ midp(X0,X1,X2)
| cong(sK24,X1,sK24,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_9713,plain,
( ~ perp(sK24,sK22,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| cong(sK24,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_9712]) ).
cnf(c_10058,plain,
( ~ cong(X0,X1,X0,sK20)
| ~ cong(X0,X1,X0,sK21)
| circle(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_10059,plain,
( ~ cong(sK22,sK22,sK22,sK20)
| ~ cong(sK22,sK22,sK22,sK21)
| circle(sK22,sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_10058]) ).
cnf(c_10140,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK24,X0,X2)
| ~ coll(sK21,X1,sK20)
| midp(sK21,X1,sK20) ),
inference(resolution,[status(thm)],[c_94,c_4393]) ).
cnf(c_10141,plain,
( ~ coll(sK21,sK22,sK20)
| ~ midp(sK22,sK22,sK22)
| ~ midp(sK24,sK22,sK22)
| midp(sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_10140]) ).
cnf(c_10144,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK24,X0,X2)
| ~ coll(sK20,X1,sK21)
| midp(sK20,X1,sK21) ),
inference(resolution,[status(thm)],[c_94,c_4395]) ).
cnf(c_10145,plain,
( ~ coll(sK20,sK22,sK21)
| ~ midp(sK22,sK22,sK22)
| ~ midp(sK24,sK22,sK22)
| midp(sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_10144]) ).
cnf(c_10191,plain,
( ~ cong(X0,X1,X1,X1)
| ~ cong(X0,sK24,X1,sK24)
| perp(X0,X1,X1,sK24) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_10192,plain,
( ~ cong(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK24,sK22,sK24)
| perp(sK22,sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_10191]) ).
cnf(c_18456,plain,
( ~ eqratio(sK28,sK22,X0,X1,sK28,sK20,X2,X3)
| eqratio(sK28,sK22,sK28,sK20,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_25053,plain,
( ~ eqratio(sK28,sK22,sK22,X0,sK28,sK20,sK20,X1)
| eqratio(sK28,sK22,sK28,sK20,sK22,X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_18456]) ).
cnf(c_25054,plain,
( ~ para(sK22,sK20,X0,X1)
| ~ coll(sK28,sK22,X0)
| ~ coll(sK28,sK20,X1)
| eqratio(sK28,sK22,sK22,X0,sK28,sK20,sK20,X1) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_25055,plain,
( ~ eqratio(sK28,sK22,sK22,sK22,sK28,sK20,sK20,sK22)
| eqratio(sK28,sK22,sK28,sK20,sK22,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_25053]) ).
cnf(c_25056,plain,
( ~ para(sK22,sK20,sK22,sK22)
| ~ coll(sK28,sK22,sK22)
| ~ coll(sK28,sK20,sK22)
| eqratio(sK28,sK22,sK22,sK22,sK28,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_25054]) ).
cnf(c_48012,plain,
( ~ eqratio(sK28,sK22,sK28,sK20,X0,X1,X2,X3)
| ~ cong(X0,X1,X2,X3)
| cong(sK28,sK22,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_55840,plain,
( ~ eqratio(sK28,sK22,sK28,sK20,sK22,X0,sK20,X1)
| ~ cong(sK22,X0,sK20,X1)
| cong(sK28,sK22,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_48012]) ).
cnf(c_55841,plain,
( ~ eqratio(sK28,sK22,sK28,sK20,sK22,sK22,sK20,sK22)
| ~ cong(sK22,sK22,sK20,sK22)
| cong(sK28,sK22,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_55840]) ).
cnf(c_55842,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_55841,c_25056,c_25055,c_10192,c_10145,c_10141,c_10059,c_9713,c_8819,c_8818,c_8220,c_7993,c_7897,c_7662,c_4849,c_4847,c_4810,c_4022,c_4019,c_3957,c_3924,c_3730,c_3205,c_2557,c_2371,c_1982,c_1754,c_1633,c_1582,c_1371,c_1342,c_1253,c_1188,c_1176,c_1169,c_1120,c_923,c_890,c_836,c_795,c_790,c_789,c_787,c_632,c_599,c_581,c_411,c_406,c_404,c_385,c_384,c_374,c_372,c_239,c_185,c_181,c_162,c_167,c_170,c_174,c_164,c_166,c_172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO592+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 23:03:18 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 28.74/4.72 % SZS status Started for theBenchmark.p
% 28.74/4.72 % SZS status Theorem for theBenchmark.p
% 28.74/4.72
% 28.74/4.72 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 28.74/4.72
% 28.74/4.72 ------ iProver source info
% 28.74/4.72
% 28.74/4.72 git: date: 2023-05-31 18:12:56 +0000
% 28.74/4.72 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 28.74/4.72 git: non_committed_changes: false
% 28.74/4.72 git: last_make_outside_of_git: false
% 28.74/4.72
% 28.74/4.72 ------ Parsing...
% 28.74/4.72 ------ Clausification by vclausify_rel & Parsing by iProver...
% 28.74/4.72
% 28.74/4.72 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 28.74/4.72
% 28.74/4.72 ------ Preprocessing...
% 28.74/4.72
% 28.74/4.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 28.74/4.72 ------ Proving...
% 28.74/4.72 ------ Problem Properties
% 28.74/4.72
% 28.74/4.72
% 28.74/4.72 clauses 126
% 28.74/4.72 conjectures 14
% 28.74/4.72 EPR 89
% 28.74/4.72 Horn 116
% 28.74/4.72 unary 14
% 28.74/4.72 binary 37
% 28.74/4.72 lits 342
% 28.74/4.72 lits eq 4
% 28.74/4.72 fd_pure 0
% 28.74/4.72 fd_pseudo 0
% 28.74/4.72 fd_cond 0
% 28.74/4.72 fd_pseudo_cond 4
% 28.74/4.72 AC symbols 0
% 28.74/4.72
% 28.74/4.72 ------ Input Options Time Limit: Unbounded
% 28.74/4.72
% 28.74/4.72
% 28.74/4.72 ------
% 28.74/4.72 Current options:
% 28.74/4.72 ------
% 28.74/4.72
% 28.74/4.72
% 28.74/4.72
% 28.74/4.72
% 28.74/4.72 ------ Proving...
% 28.74/4.72
% 28.74/4.72
% 28.74/4.72 % SZS status Theorem for theBenchmark.p
% 28.74/4.72
% 28.74/4.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.74/4.72
% 28.74/4.72
%------------------------------------------------------------------------------