TSTP Solution File: GEO542+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO542+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:17:45 EDT 2024
% Result : Theorem 35.24s 5.68s
% Output : CNFRefutation 35.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 31
% Syntax : Number of formulae : 323 ( 19 unt; 0 def)
% Number of atoms : 901 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1046 ( 468 ~; 457 |; 71 &)
% ( 0 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 940 ( 0 sgn 599 !; 21 ?)
% 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(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(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD12) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD22) ).
fof(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(f49,axiom,
! [X0,X1,X2,X7,X15] :
( ( perp(X7,X0,X0,X15)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X15,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD48) ).
fof(f50,axiom,
! [X0,X1,X2,X7,X15] :
( ( eqangle(X0,X15,X0,X1,X2,X0,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X7,X0,X0,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD49) ).
fof(f51,axiom,
! [X0,X1,X2,X7,X6] :
( ( midp(X6,X1,X2)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X7,X1,X7,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD50) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).
fof(f95,conjecture,
! [X0,X1,X2,X18,X19,X20,X7] :
( ( circle(X7,X0,X1,X2)
& midp(X20,X1,X0)
& midp(X19,X2,X0)
& midp(X18,X2,X1) )
=> perp(X7,X18,X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012002) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X18,X19,X20,X7] :
( ( circle(X7,X0,X1,X2)
& midp(X20,X1,X0)
& midp(X19,X2,X0)
& midp(X18,X2,X1) )
=> perp(X7,X18,X19,X20) ),
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(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(rectify,[],[f22]) ).
fof(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(f128,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(rectify,[],[f49]) ).
fof(f129,plain,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
inference(rectify,[],[f50]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(rectify,[],[f51]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
inference(rectify,[],[f64]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X6,X0,X1,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X0)
& midp(X3,X2,X1) )
=> perp(X6,X3,X4,X5) ),
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(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
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(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f104]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f196]) ).
fof(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(f234,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f128]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f234]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f129]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f130]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f238]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f242]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f261,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f142]) ).
fof(f262,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f261]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f143]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f263]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f271,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X6,X3,X4,X5)
& circle(X6,X0,X1,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X0)
& midp(X3,X2,X1) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X6,X3,X4,X5)
& circle(X6,X0,X1,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X0)
& midp(X3,X2,X1) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X6,X3,X4,X5)
& circle(X6,X0,X1,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X0)
& midp(X3,X2,X1) )
=> ( ~ perp(sK26,sK23,sK24,sK25)
& circle(sK26,sK20,sK21,sK22)
& midp(sK25,sK21,sK20)
& midp(sK24,sK22,sK20)
& midp(sK23,sK22,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK26,sK23,sK24,sK25)
& circle(sK26,sK20,sK21,sK22)
& midp(sK25,sK21,sK20)
& midp(sK24,sK22,sK20)
& midp(sK23,sK22,sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26])],[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(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
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(f381,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f197]) ).
fof(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(f408,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f409,plain,
! [X2,X3,X0,X1,X4] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f237]) ).
fof(f410,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f262]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f429,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
fof(f473,plain,
midp(sK23,sK22,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
midp(sK24,sK22,sK20),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
midp(sK25,sK21,sK20),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
circle(sK26,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
~ perp(sK26,sK23,sK24,sK25),
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_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
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_70,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f381]) ).
cnf(c_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_97,plain,
( ~ perp(X0,X1,X1,X2)
| ~ circle(X0,X1,X3,X4)
| eqangle(X1,X2,X1,X3,X4,X1,X4,X3) ),
inference(cnf_transformation,[],[f408]) ).
cnf(c_98,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2)
| ~ circle(X4,X0,X2,X3)
| perp(X4,X0,X0,X1) ),
inference(cnf_transformation,[],[f409]) ).
cnf(c_99,plain,
( ~ circle(X0,X1,X2,X3)
| ~ midp(X4,X2,X3)
| eqangle(X1,X2,X1,X3,X0,X2,X0,X4) ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_112,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f423]) ).
cnf(c_113,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(X4,X0,X2)
| midp(X4,X1,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_118,plain,
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f429]) ).
cnf(c_162,negated_conjecture,
~ perp(sK26,sK23,sK24,sK25),
inference(cnf_transformation,[],[f477]) ).
cnf(c_163,negated_conjecture,
circle(sK26,sK20,sK21,sK22),
inference(cnf_transformation,[],[f476]) ).
cnf(c_164,negated_conjecture,
midp(sK25,sK21,sK20),
inference(cnf_transformation,[],[f475]) ).
cnf(c_165,negated_conjecture,
midp(sK24,sK22,sK20),
inference(cnf_transformation,[],[f474]) ).
cnf(c_166,negated_conjecture,
midp(sK23,sK22,sK21),
inference(cnf_transformation,[],[f473]) ).
cnf(c_169,plain,
( ~ para(sK20,sK20,sK20,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_172,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_176,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_181,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_197,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_230,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_2330,plain,
( ~ midp(sK25,sK21,sK20)
| coll(sK25,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_2331,plain,
( ~ midp(sK25,sK21,sK20)
| cong(sK25,sK21,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_2332,plain,
( ~ midp(sK25,sK21,sK20)
| midp(sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_2341,plain,
( ~ midp(sK25,X0,X1)
| ~ midp(sK25,sK21,sK20)
| para(X0,sK21,X1,sK20) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_2342,plain,
( ~ midp(sK25,sK20,sK20)
| ~ midp(sK25,sK21,sK20)
| para(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2341]) ).
cnf(c_2345,plain,
( ~ midp(sK24,sK22,sK20)
| coll(sK24,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_2346,plain,
( ~ midp(sK24,sK22,sK20)
| cong(sK24,sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_2350,plain,
( ~ midp(X0,sK22,X1)
| ~ midp(sK24,sK22,sK20)
| para(X0,sK24,X1,sK20) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_2351,plain,
( ~ midp(sK24,sK22,sK20)
| ~ midp(sK20,sK22,sK20)
| para(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2350]) ).
cnf(c_2405,plain,
( ~ circle(sK25,sK21,X0,sK20)
| ~ coll(sK25,sK21,sK20)
| perp(sK21,X0,X0,sK20) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_2408,plain,
( ~ circle(sK25,sK21,sK20,sK20)
| ~ coll(sK25,sK21,sK20)
| perp(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2405]) ).
cnf(c_2432,plain,
( ~ cong(sK25,sK21,sK25,X0)
| ~ cong(sK25,sK21,sK25,sK20)
| circle(sK25,sK21,sK20,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_2433,plain,
( ~ cong(sK25,sK21,sK25,sK20)
| circle(sK25,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2432]) ).
cnf(c_2465,plain,
( ~ perp(sK20,X0,X0,sK21)
| ~ midp(sK25,sK20,sK21)
| cong(sK20,sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_2466,plain,
( ~ perp(sK20,sK20,sK20,sK21)
| ~ midp(sK25,sK20,sK21)
| cong(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_2465]) ).
cnf(c_2471,plain,
( ~ perp(X0,sK25,sK20,sK21)
| ~ midp(sK25,sK20,sK21)
| cong(X0,sK20,X0,sK21) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_2472,plain,
( ~ perp(sK20,sK25,sK20,sK21)
| ~ midp(sK25,sK20,sK21)
| cong(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_2471]) ).
cnf(c_2473,plain,
( ~ midp(sK25,X0,X1)
| ~ midp(sK25,sK20,sK21)
| para(X0,sK20,X1,sK21) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_2474,plain,
( ~ midp(sK25,sK20,sK20)
| ~ midp(sK25,sK20,sK21)
| para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_2473]) ).
cnf(c_2495,plain,
( ~ circle(sK24,sK22,X0,sK20)
| ~ coll(sK24,sK22,sK20)
| perp(sK22,X0,X0,sK20) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_2498,plain,
( ~ circle(sK24,sK22,sK20,sK20)
| ~ coll(sK24,sK22,sK20)
| perp(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2495]) ).
cnf(c_2522,plain,
( ~ cong(sK24,sK22,sK24,X0)
| ~ cong(sK24,sK22,sK24,sK20)
| circle(sK24,sK22,sK20,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_2523,plain,
( ~ cong(sK24,sK22,sK24,sK20)
| circle(sK24,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2522]) ).
cnf(c_2785,plain,
( ~ perp(sK21,X0,X0,sK20)
| perp(X0,sK20,sK21,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2787,plain,
( ~ perp(sK21,sK20,sK20,sK20)
| perp(sK20,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_2785]) ).
cnf(c_2788,plain,
( ~ perp(X0,X1,sK21,X2)
| ~ perp(sK21,X2,X2,sK20)
| para(X0,X1,X2,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2789,plain,
( ~ perp(sK20,sK20,sK21,sK20)
| ~ perp(sK21,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2788]) ).
cnf(c_2916,plain,
( ~ para(X0,X1,X2,sK21)
| ~ para(X0,sK21,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK21,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_2917,plain,
( ~ para(sK20,sK20,sK20,sK21)
| ~ para(sK20,sK21,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_2916]) ).
cnf(c_2934,plain,
( ~ para(X0,sK24,X1,X2)
| ~ midp(X0,X3,X1)
| ~ coll(sK24,X3,X2)
| midp(sK24,X3,X2) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_2935,plain,
( ~ para(sK20,sK24,sK20,sK20)
| ~ coll(sK24,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| midp(sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2934]) ).
cnf(c_2978,plain,
( ~ perp(sK20,X0,sK21,X0)
| perp(sK20,X0,X0,sK21) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_2979,plain,
( ~ perp(sK20,sK20,sK21,sK20)
| perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_2978]) ).
cnf(c_2987,plain,
( ~ cong(X0,X1,X0,sK20)
| ~ cong(X0,X1,X0,sK21)
| circle(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_2988,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK21)
| circle(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_2987]) ).
cnf(c_2999,plain,
( ~ para(X0,sK25,X1,X2)
| ~ perp(X1,X2,sK20,sK21)
| perp(X0,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_3000,plain,
( ~ para(sK20,sK25,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK21)
| perp(sK20,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_2999]) ).
cnf(c_3082,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK26,sK23,X0,X1)
| para(sK26,sK23,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_3499,plain,
( ~ perp(sK23,X0,X1,X2)
| ~ perp(sK26,sK23,sK23,X0)
| para(sK26,sK23,X1,X2) ),
inference(instantiation,[status(thm)],[c_3082]) ).
cnf(c_3500,plain,
( ~ eqangle(sK23,X0,sK23,X1,X2,sK23,X2,X1)
| ~ circle(sK26,sK23,X1,X2)
| perp(sK26,sK23,sK23,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_3501,plain,
( ~ perp(sK26,sK23,sK23,sK20)
| ~ perp(sK23,sK20,sK20,sK20)
| para(sK26,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3499]) ).
cnf(c_3502,plain,
( ~ eqangle(sK23,sK20,sK23,sK20,sK20,sK23,sK20,sK20)
| ~ circle(sK26,sK23,sK20,sK20)
| perp(sK26,sK23,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_3500]) ).
cnf(c_3542,plain,
( ~ para(X0,X1,X2,sK23)
| ~ para(X0,sK23,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK23,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_3543,plain,
( ~ para(sK20,sK23,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK23)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_3542]) ).
cnf(c_3690,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(sK25,X0,X2)
| midp(sK25,X1,X3) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_3804,plain,
( ~ para(X0,X1,X2,sK25)
| ~ para(X0,sK25,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK25,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_3805,plain,
( ~ para(sK20,sK25,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK25)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_3804]) ).
cnf(c_3913,plain,
( ~ para(X0,X1,X2,sK23)
| ~ para(X0,sK23,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,X1,sK23) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_3914,plain,
( ~ para(sK20,sK23,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK23)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_3913]) ).
cnf(c_4049,plain,
( ~ cong(sK26,sK23,sK26,X0)
| ~ cong(sK26,sK23,sK26,X1)
| circle(sK26,sK23,X1,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_4050,plain,
( ~ cong(sK26,sK23,sK26,sK20)
| circle(sK26,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4049]) ).
cnf(c_4655,plain,
( ~ midp(X0,sK23,X1)
| cong(X0,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_4656,plain,
( ~ midp(sK20,sK23,sK20)
| cong(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4655]) ).
cnf(c_4669,plain,
( ~ perp(X0,X1,sK23,X2)
| ~ midp(X1,sK23,X2)
| cong(X0,sK23,X0,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_4707,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,sK23)
| circle(X0,X1,sK23,X2) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_4708,plain,
( ~ cong(sK20,sK20,sK20,sK23)
| ~ cong(sK20,sK20,sK20,sK20)
| circle(sK20,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_4707]) ).
cnf(c_4731,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK23,X1,X3)
| para(X0,sK23,X2,X3) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_4732,plain,
( ~ midp(sK23,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4731]) ).
cnf(c_6837,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK25,X1,X3)
| para(X0,sK25,X2,X3) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_6838,plain,
( ~ midp(sK25,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6837]) ).
cnf(c_6883,plain,
( ~ para(sK21,X0,sK20,X1)
| ~ para(sK21,X1,sK20,X0)
| ~ midp(sK25,sK21,sK20)
| midp(sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_3690]) ).
cnf(c_6884,plain,
( ~ para(sK21,sK20,sK20,sK20)
| ~ midp(sK25,sK21,sK20)
| midp(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6883]) ).
cnf(c_6949,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(sK23,X0,X2)
| midp(sK23,X1,X3) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_7107,plain,
( ~ cong(X0,sK24,X1,sK24)
| ~ cong(X0,sK25,X1,sK25)
| perp(X0,X1,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_7108,plain,
( ~ cong(sK20,sK24,sK20,sK24)
| ~ cong(sK20,sK25,sK20,sK25)
| perp(sK20,sK20,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_7107]) ).
cnf(c_7825,plain,
( ~ midp(X0,X1,sK23)
| cong(X0,X1,X0,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_7826,plain,
( ~ midp(sK20,sK20,sK23)
| cong(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_7825]) ).
cnf(c_7879,plain,
( ~ para(X0,sK23,X1,X2)
| para(X1,X2,X0,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_7880,plain,
( ~ para(sK20,sK23,sK20,sK20)
| para(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_7879]) ).
cnf(c_8266,plain,
( ~ perp(X0,X1,sK26,X2)
| perp(sK26,X2,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_8268,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2)
| ~ circle(sK26,X0,X2,X3)
| perp(sK26,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_8732,plain,
( ~ para(sK23,X0,X1,X2)
| ~ perp(X1,X2,X3,sK26)
| perp(sK23,X0,X3,sK26) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_8733,plain,
( ~ para(sK23,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK26)
| perp(sK23,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_8732]) ).
cnf(c_9208,plain,
( ~ para(sK26,sK23,X0,X1)
| ~ perp(X0,X1,sK24,sK25) ),
inference(resolution,[status(thm)],[c_162,c_58]) ).
cnf(c_9209,plain,
( ~ para(sK26,sK23,sK20,sK20)
| ~ perp(sK20,sK20,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_9208]) ).
cnf(c_9870,plain,
( ~ cong(X0,sK23,X0,X1)
| ~ cong(X0,sK23,X0,X2)
| circle(X0,sK23,X2,X1) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_9871,plain,
( ~ cong(sK20,sK23,sK20,sK20)
| circle(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9870]) ).
cnf(c_9923,plain,
( ~ perp(sK23,X0,X1,X2)
| perp(sK23,X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_9928,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2)
| ~ circle(sK23,X0,X2,X3)
| perp(sK23,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_9929,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ circle(sK23,sK20,sK20,sK20)
| perp(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9928]) ).
cnf(c_10047,plain,
( ~ midp(sK23,X0,X0)
| cong(sK23,X0,sK23,X0) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_10049,plain,
( ~ midp(sK23,sK20,sK20)
| cong(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_10047]) ).
cnf(c_10101,plain,
( ~ circle(X0,X1,sK23,X1)
| ~ coll(X0,X1,X1)
| perp(X1,sK23,sK23,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_10103,plain,
( ~ circle(sK20,sK20,sK23,sK20)
| ~ coll(sK20,sK20,sK20)
| perp(sK20,sK23,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_10101]) ).
cnf(c_10642,plain,
( ~ cong(sK23,X0,sK23,X1)
| ~ cong(sK23,X0,sK23,X2)
| circle(sK23,X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_10643,plain,
( ~ cong(sK23,sK20,sK23,sK20)
| circle(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10642]) ).
cnf(c_11388,plain,
( ~ perp(X0,X1,sK20,X2)
| ~ perp(sK21,X3,X0,X1)
| para(sK21,X3,sK20,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_11389,plain,
( ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK21,sK20,sK20,sK20)
| para(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11388]) ).
cnf(c_11469,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,sK22,X3)
| ~ midp(X0,sK22,X2)
| midp(X1,sK22,X3) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_11512,plain,
( ~ midp(X0,sK21,sK20)
| midp(X0,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_11513,plain,
( ~ midp(sK20,sK21,sK20)
| midp(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_11512]) ).
cnf(c_12456,plain,
( ~ para(X0,sK25,X1,X2)
| para(X1,X2,X0,sK25) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_12457,plain,
( ~ para(sK20,sK25,sK20,sK20)
| para(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_12456]) ).
cnf(c_12820,plain,
midp(sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_164,c_59]) ).
cnf(c_12871,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_118]) ).
cnf(c_12878,plain,
( ~ para(sK22,X0,sK21,X1)
| ~ para(sK22,X1,sK21,X0)
| ~ midp(sK23,sK22,sK21)
| midp(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_6949]) ).
cnf(c_12879,plain,
( ~ para(sK22,sK20,sK21,sK20)
| ~ midp(sK23,sK22,sK21)
| midp(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12878]) ).
cnf(c_13279,plain,
coll(sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_12820,c_118]) ).
cnf(c_13528,plain,
( ~ perp(X0,X0,X0,X1)
| ~ midp(sK24,X0,X1)
| cong(X0,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_13530,plain,
( ~ perp(sK20,sK20,sK20,sK20)
| ~ midp(sK24,sK20,sK20)
| cong(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_13528]) ).
cnf(c_13634,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_12871,c_50]) ).
cnf(c_13638,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_13279,c_50]) ).
cnf(c_13949,plain,
( ~ midp(X0,sK25,X1)
| coll(X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_13950,plain,
( ~ midp(sK20,sK25,sK20)
| coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_13949]) ).
cnf(c_15693,plain,
( ~ coll(sK24,sK22,X0)
| coll(sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_12871,c_51]) ).
cnf(c_15697,plain,
( ~ coll(sK22,sK24,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_13634,c_51]) ).
cnf(c_15701,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_13638,c_51]) ).
cnf(c_15716,plain,
( ~ coll(sK20,sK25,sK20)
| coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_15701]) ).
cnf(c_16442,plain,
( ~ perp(X0,X1,sK26,X0)
| perp(X0,X1,X0,sK26) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_16443,plain,
( ~ perp(sK20,sK20,sK26,sK20)
| perp(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_16442]) ).
cnf(c_16845,plain,
( ~ perp(X0,X1,sK21,X2)
| ~ perp(sK22,X3,X0,X1)
| para(sK22,X3,sK21,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_16846,plain,
( ~ perp(sK20,sK20,sK21,sK20)
| ~ perp(sK22,sK20,sK20,sK20)
| para(sK22,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_16845]) ).
cnf(c_16955,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_12871,c_15693]) ).
cnf(c_17027,plain,
( ~ para(X0,sK21,X1,sK20)
| ~ midp(X0,X2,X1)
| ~ coll(sK21,X2,sK20)
| midp(sK21,X2,sK20) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_17028,plain,
( ~ para(sK20,sK21,sK20,sK20)
| ~ coll(sK21,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17027]) ).
cnf(c_17411,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_16955,c_51]) ).
cnf(c_17414,plain,
( ~ coll(sK20,sK20,sK20)
| coll(sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17411]) ).
cnf(c_17867,plain,
( ~ perp(sK26,X0,X1,X2)
| perp(X1,X2,sK26,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_17868,plain,
( ~ perp(sK26,sK20,sK20,sK20)
| perp(sK20,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_17867]) ).
cnf(c_17925,plain,
( ~ eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21)
| ~ circle(sK26,sK20,sK21,sK22)
| perp(sK26,sK20,sK20,X0) ),
inference(instantiation,[status(thm)],[c_8268]) ).
cnf(c_17926,plain,
( ~ eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21)
| ~ circle(sK26,sK20,sK21,sK22)
| perp(sK26,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17925]) ).
cnf(c_18243,plain,
( ~ para(sK23,X0,sK21,X1)
| ~ coll(X0,sK22,X1)
| ~ midp(sK23,sK22,sK21)
| midp(X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_11469]) ).
cnf(c_18244,plain,
( ~ para(sK23,sK20,sK21,sK20)
| ~ coll(sK20,sK22,sK20)
| ~ midp(sK23,sK22,sK21)
| midp(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_18243]) ).
cnf(c_18786,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_13634,c_15697]) ).
cnf(c_18821,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_18786,c_49]) ).
cnf(c_20580,plain,
( ~ eqangle(sK20,X0,sK20,sK21,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,sK22,sK20,sK22,sK21)
| eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_70]) ).
cnf(c_20581,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK22,sK20,sK22,sK21)
| ~ eqangle(sK20,sK20,sK20,sK21,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_20580]) ).
cnf(c_20646,plain,
( ~ perp(X0,X1,sK21,X2)
| ~ perp(sK23,X3,X0,X1)
| para(sK23,X3,sK21,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_20647,plain,
( ~ perp(sK23,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK21,sK20)
| para(sK23,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_20646]) ).
cnf(c_21454,plain,
( ~ perp(sK26,X0,sK23,X1)
| ~ midp(X0,sK23,X1)
| cong(sK26,sK23,sK26,X1) ),
inference(instantiation,[status(thm)],[c_4669]) ).
cnf(c_21455,plain,
( ~ perp(sK26,sK20,sK23,sK20)
| ~ midp(sK20,sK23,sK20)
| cong(sK26,sK23,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_21454]) ).
cnf(c_24105,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK23,X4,X0,X1)
| para(sK23,X4,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_24106,plain,
( ~ perp(sK23,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24105]) ).
cnf(c_24269,plain,
( ~ circle(X0,sK23,X1,X2)
| ~ perp(X0,sK23,sK23,X3)
| eqangle(sK23,X3,sK23,X1,X2,sK23,X2,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_24271,plain,
( ~ perp(sK20,sK23,sK23,sK20)
| ~ circle(sK20,sK23,sK20,sK20)
| eqangle(sK23,sK20,sK23,sK20,sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24269]) ).
cnf(c_29012,plain,
( ~ perp(sK23,X0,X1,sK26)
| perp(sK23,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_9923]) ).
cnf(c_29014,plain,
( ~ perp(sK23,X0,sK26,X1)
| perp(sK26,X1,sK23,X0) ),
inference(instantiation,[status(thm)],[c_8266]) ).
cnf(c_29015,plain,
( ~ perp(sK23,sK20,sK20,sK26)
| perp(sK23,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_29012]) ).
cnf(c_29016,plain,
( ~ perp(sK23,sK20,sK26,sK20)
| perp(sK26,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_29014]) ).
cnf(c_31962,plain,
( ~ cong(sK22,X0,sK22,X1)
| ~ cong(sK22,X0,sK22,X2)
| circle(sK22,X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_31963,plain,
( ~ cong(sK22,sK20,sK22,sK20)
| circle(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_31962]) ).
cnf(c_32101,plain,
( ~ circle(sK22,X0,sK20,X1)
| ~ midp(sK21,sK20,X1)
| eqangle(X0,sK20,X0,X1,sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_32102,plain,
( ~ circle(sK22,sK20,sK20,sK20)
| ~ midp(sK21,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_32101]) ).
cnf(c_34683,plain,
( ~ circle(X0,X1,sK20,sK21)
| ~ midp(X2,sK20,sK21)
| eqangle(X1,sK20,X1,sK21,X0,sK20,X0,X2) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_34684,plain,
( ~ circle(sK20,sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK21)
| eqangle(sK20,sK20,sK20,sK21,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_34683]) ).
cnf(c_38403,plain,
( ~ perp(sK22,X0,X1,X2)
| ~ midp(X0,X1,X2)
| cong(sK22,X1,sK22,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_38404,plain,
( ~ perp(sK22,sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| cong(sK22,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_38403]) ).
cnf(c_38405,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_38404,c_34684,c_32102,c_31963,c_29016,c_29015,c_24271,c_24106,c_21455,c_20647,c_20581,c_18821,c_18244,c_17926,c_17868,c_17414,c_17028,c_16846,c_16443,c_15716,c_13950,c_13530,c_12879,c_12457,c_11513,c_11389,c_10643,c_10103,c_10049,c_9929,c_9871,c_9209,c_8733,c_7880,c_7826,c_7108,c_6884,c_6838,c_4732,c_4708,c_4656,c_4050,c_3914,c_3805,c_3543,c_3502,c_3501,c_3000,c_2988,c_2979,c_2935,c_2917,c_2789,c_2787,c_2523,c_2498,c_2474,c_2472,c_2466,c_2433,c_2408,c_2351,c_2345,c_2346,c_2342,c_2330,c_2331,c_2332,c_230,c_197,c_181,c_176,c_172,c_169,c_163,c_164,c_165,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO542+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 01:19:42 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 35.24/5.68 % SZS status Started for theBenchmark.p
% 35.24/5.68 % SZS status Theorem for theBenchmark.p
% 35.24/5.68
% 35.24/5.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 35.24/5.68
% 35.24/5.68 ------ iProver source info
% 35.24/5.68
% 35.24/5.68 git: date: 2024-05-02 19:28:25 +0000
% 35.24/5.68 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 35.24/5.68 git: non_committed_changes: false
% 35.24/5.68
% 35.24/5.68 ------ Parsing...
% 35.24/5.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 35.24/5.68
% 35.24/5.68 ------ Preprocessing...
% 35.24/5.68
% 35.24/5.68 ------ Preprocessing...
% 35.24/5.68
% 35.24/5.68 ------ Preprocessing...
% 35.24/5.68 ------ Proving...
% 35.24/5.68 ------ Problem Properties
% 35.24/5.68
% 35.24/5.68
% 35.24/5.68 clauses 117
% 35.24/5.68 conjectures 5
% 35.24/5.68 EPR 80
% 35.24/5.68 Horn 107
% 35.24/5.68 unary 5
% 35.24/5.68 binary 37
% 35.24/5.68 lits 333
% 35.24/5.68 lits eq 4
% 35.24/5.68 fd_pure 0
% 35.24/5.68 fd_pseudo 0
% 35.24/5.68 fd_cond 0
% 35.24/5.68 fd_pseudo_cond 4
% 35.24/5.68 AC symbols 0
% 35.24/5.68
% 35.24/5.68 ------ Input Options Time Limit: Unbounded
% 35.24/5.68
% 35.24/5.68
% 35.24/5.68 ------
% 35.24/5.68 Current options:
% 35.24/5.68 ------
% 35.24/5.68
% 35.24/5.68
% 35.24/5.68
% 35.24/5.68
% 35.24/5.68 ------ Proving...
% 35.24/5.68
% 35.24/5.68
% 35.24/5.68 % SZS status Theorem for theBenchmark.p
% 35.24/5.68
% 35.24/5.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.24/5.68
% 35.24/5.68
%------------------------------------------------------------------------------