TSTP Solution File: GEO585+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO585+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 23:11:55 EDT 2023
% Result : Theorem 28.04s 4.68s
% Output : CNFRefutation 28.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 34
% Syntax : Number of formulae : 533 ( 143 unt; 0 def)
% Number of atoms : 1244 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 1281 ( 570 ~; 561 |; 100 &)
% ( 0 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 906 ( 0 sgn; 590 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(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(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(f13,axiom,
! [X0,X1,X2,X3,X7] :
( ( cong(X7,X0,X7,X3)
& cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD13) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD25) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD45) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD53) ).
fof(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(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X10,X11,X18] :
( ( perp(X2,X3,X0,X11)
& perp(X0,X3,X2,X11)
& perp(X0,X2,X3,X11)
& perp(X1,X3,X0,X10)
& perp(X0,X3,X1,X10)
& perp(X0,X1,X3,X10)
& circle(X7,X0,X3,X18)
& circle(X7,X0,X1,X2) )
=> cyclic(X0,X10,X3,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416047) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X10,X11,X18] :
( ( perp(X2,X3,X0,X11)
& perp(X0,X3,X2,X11)
& perp(X0,X2,X3,X11)
& perp(X1,X3,X0,X10)
& perp(X0,X3,X1,X10)
& perp(X0,X1,X3,X10)
& circle(X7,X0,X3,X18)
& circle(X7,X0,X1,X2) )
=> cyclic(X0,X10,X3,X11) ),
inference(negated_conjecture,[],[f95]) ).
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(f99,plain,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f13]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(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(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(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X2,X4,X0,X6)
& perp(X0,X4,X2,X6)
& perp(X0,X2,X4,X6)
& perp(X1,X4,X0,X5)
& perp(X0,X4,X1,X5)
& perp(X0,X1,X4,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> cyclic(X0,X5,X4,X6) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(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(f185,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(flattening,[],[f185]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f190]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f200]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(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(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(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X0,X5,X4,X6)
& perp(X2,X4,X0,X6)
& perp(X0,X4,X2,X6)
& perp(X0,X2,X4,X6)
& perp(X1,X4,X0,X5)
& perp(X0,X4,X1,X5)
& perp(X0,X1,X4,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X0,X5,X4,X6)
& perp(X2,X4,X0,X6)
& perp(X0,X4,X2,X6)
& perp(X0,X2,X4,X6)
& perp(X1,X4,X0,X5)
& perp(X0,X4,X1,X5)
& perp(X0,X1,X4,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X0,X5,X4,X6)
& perp(X2,X4,X0,X6)
& perp(X0,X4,X2,X6)
& perp(X0,X2,X4,X6)
& perp(X1,X4,X0,X5)
& perp(X0,X4,X1,X5)
& perp(X0,X1,X4,X5)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> ( ~ cyclic(sK20,sK25,sK24,sK26)
& perp(sK22,sK24,sK20,sK26)
& perp(sK20,sK24,sK22,sK26)
& perp(sK20,sK22,sK24,sK26)
& perp(sK21,sK24,sK20,sK25)
& perp(sK20,sK24,sK21,sK25)
& perp(sK20,sK21,sK24,sK25)
& circle(sK23,sK20,sK24,sK27)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cyclic(sK20,sK25,sK24,sK26)
& perp(sK22,sK24,sK20,sK26)
& perp(sK20,sK24,sK22,sK26)
& perp(sK20,sK22,sK24,sK26)
& perp(sK21,sK24,sK20,sK25)
& perp(sK20,sK24,sK21,sK25)
& perp(sK20,sK21,sK24,sK25)
& circle(sK23,sK20,sK24,sK27)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f172]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(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(f372,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(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(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(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f473,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
circle(sK23,sK20,sK24,sK27),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
perp(sK20,sK21,sK24,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
perp(sK20,sK24,sK21,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
perp(sK21,sK24,sK20,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
perp(sK20,sK22,sK24,sK26),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
perp(sK20,sK24,sK22,sK26),
inference(cnf_transformation,[],[f359]) ).
fof(f480,plain,
perp(sK22,sK24,sK20,sK26),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
~ cyclic(sK20,sK25,sK24,sK26),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_52,plain,
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_54,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_61,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X4)
| cyclic(X1,X3,X2,X4) ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_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_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_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_162,negated_conjecture,
~ cyclic(sK20,sK25,sK24,sK26),
inference(cnf_transformation,[],[f481]) ).
cnf(c_163,negated_conjecture,
perp(sK22,sK24,sK20,sK26),
inference(cnf_transformation,[],[f480]) ).
cnf(c_164,negated_conjecture,
perp(sK20,sK24,sK22,sK26),
inference(cnf_transformation,[],[f479]) ).
cnf(c_165,negated_conjecture,
perp(sK20,sK22,sK24,sK26),
inference(cnf_transformation,[],[f478]) ).
cnf(c_166,negated_conjecture,
perp(sK21,sK24,sK20,sK25),
inference(cnf_transformation,[],[f477]) ).
cnf(c_167,negated_conjecture,
perp(sK20,sK24,sK21,sK25),
inference(cnf_transformation,[],[f476]) ).
cnf(c_168,negated_conjecture,
perp(sK20,sK21,sK24,sK25),
inference(cnf_transformation,[],[f475]) ).
cnf(c_169,negated_conjecture,
circle(sK23,sK20,sK24,sK27),
inference(cnf_transformation,[],[f474]) ).
cnf(c_170,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f473]) ).
cnf(c_176,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_179,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_185,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_234,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_371,plain,
( ~ circle(sK23,sK20,sK24,sK27)
| perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_373,plain,
( ~ perp(X0,X1,sK22,sK24)
| ~ perp(sK22,sK24,sK20,sK26)
| para(X0,X1,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_374,plain,
( ~ perp(sK20,sK20,sK22,sK24)
| ~ perp(sK22,sK24,sK20,sK26)
| para(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_373]) ).
cnf(c_377,plain,
( ~ perp(X0,X1,sK20,sK22)
| ~ perp(sK20,sK22,sK24,sK26)
| para(X0,X1,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_378,plain,
( ~ perp(sK20,sK20,sK20,sK22)
| ~ perp(sK20,sK22,sK24,sK26)
| para(sK20,sK20,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_426,plain,
perp(sK20,sK24,sK26,sK22),
inference(superposition,[status(thm)],[c_164,c_55]) ).
cnf(c_428,plain,
perp(sK21,sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_166,c_55]) ).
cnf(c_441,plain,
perp(sK20,sK26,sK22,sK24),
inference(superposition,[status(thm)],[c_163,c_56]) ).
cnf(c_442,plain,
perp(sK22,sK26,sK20,sK24),
inference(superposition,[status(thm)],[c_164,c_56]) ).
cnf(c_443,plain,
perp(sK24,sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_165,c_56]) ).
cnf(c_444,plain,
perp(sK20,sK25,sK21,sK24),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_448,plain,
perp(sK26,sK22,sK20,sK24),
inference(superposition,[status(thm)],[c_426,c_56]) ).
cnf(c_484,plain,
perp(sK20,sK26,sK24,sK22),
inference(superposition,[status(thm)],[c_441,c_55]) ).
cnf(c_486,plain,
perp(sK22,sK26,sK24,sK20),
inference(superposition,[status(thm)],[c_442,c_55]) ).
cnf(c_488,plain,
perp(sK24,sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_443,c_55]) ).
cnf(c_500,plain,
perp(sK20,sK25,sK24,sK21),
inference(superposition,[status(thm)],[c_444,c_55]) ).
cnf(c_539,plain,
perp(sK24,sK22,sK20,sK26),
inference(superposition,[status(thm)],[c_484,c_56]) ).
cnf(c_541,plain,
perp(sK24,sK20,sK22,sK26),
inference(superposition,[status(thm)],[c_486,c_56]) ).
cnf(c_543,plain,
perp(sK22,sK20,sK24,sK26),
inference(superposition,[status(thm)],[c_488,c_56]) ).
cnf(c_545,plain,
perp(sK24,sK21,sK20,sK25),
inference(superposition,[status(thm)],[c_500,c_56]) ).
cnf(c_693,plain,
( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23)
| perp(sK20,sK23,sK11(sK20,sK24,sK27,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_695,plain,
( ~ perp(X0,X1,sK11(sK20,sK24,sK27,sK23),sK20)
| ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23)
| para(X0,X1,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_729,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_170,c_102]) ).
cnf(c_731,plain,
( ~ midp(sK24,sK20,sK26)
| cong(sK22,sK20,sK22,sK26) ),
inference(superposition,[status(thm)],[c_163,c_104]) ).
cnf(c_732,plain,
( ~ midp(sK24,sK22,sK26)
| cong(sK20,sK22,sK20,sK26) ),
inference(superposition,[status(thm)],[c_164,c_104]) ).
cnf(c_733,plain,
( ~ midp(sK22,sK24,sK26)
| cong(sK20,sK24,sK20,sK26) ),
inference(superposition,[status(thm)],[c_165,c_104]) ).
cnf(c_734,plain,
( ~ midp(sK24,sK20,sK25)
| cong(sK21,sK20,sK21,sK25) ),
inference(superposition,[status(thm)],[c_166,c_104]) ).
cnf(c_740,plain,
( ~ midp(sK24,sK25,sK20)
| cong(sK21,sK25,sK21,sK20) ),
inference(superposition,[status(thm)],[c_428,c_104]) ).
cnf(c_744,plain,
( ~ midp(sK26,sK20,sK24)
| cong(sK22,sK20,sK22,sK24) ),
inference(superposition,[status(thm)],[c_442,c_104]) ).
cnf(c_749,plain,
( ~ midp(sK22,sK20,sK26)
| cong(sK24,sK20,sK24,sK26) ),
inference(superposition,[status(thm)],[c_539,c_104]) ).
cnf(c_750,plain,
( ~ midp(sK21,sK20,sK25)
| cong(sK24,sK20,sK24,sK25) ),
inference(superposition,[status(thm)],[c_545,c_104]) ).
cnf(c_752,plain,
( ~ midp(sK22,sK20,sK24)
| cong(sK26,sK20,sK26,sK24) ),
inference(superposition,[status(thm)],[c_448,c_104]) ).
cnf(c_769,plain,
( ~ midp(sK20,sK22,sK26)
| cong(sK24,sK22,sK24,sK26) ),
inference(superposition,[status(thm)],[c_541,c_104]) ).
cnf(c_770,plain,
( ~ midp(sK20,sK24,sK26)
| cong(sK22,sK24,sK22,sK26) ),
inference(superposition,[status(thm)],[c_543,c_104]) ).
cnf(c_909,plain,
perp(sK20,sK26,sK22,sK24),
inference(superposition,[status(thm)],[c_163,c_56]) ).
cnf(c_910,plain,
perp(sK22,sK26,sK20,sK24),
inference(superposition,[status(thm)],[c_164,c_56]) ).
cnf(c_911,plain,
perp(sK24,sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_165,c_56]) ).
cnf(c_912,plain,
perp(sK20,sK25,sK21,sK24),
inference(superposition,[status(thm)],[c_166,c_56]) ).
cnf(c_913,plain,
perp(sK21,sK25,sK20,sK24),
inference(superposition,[status(thm)],[c_167,c_56]) ).
cnf(c_914,plain,
perp(sK24,sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_168,c_56]) ).
cnf(c_932,plain,
perp(sK22,sK26,sK24,sK20),
inference(superposition,[status(thm)],[c_910,c_55]) ).
cnf(c_952,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
cnf(c_954,plain,
( ~ midp(sK24,sK22,sK26)
| cong(sK20,sK26,sK20,sK22) ),
inference(superposition,[status(thm)],[c_732,c_72]) ).
cnf(c_962,plain,
( ~ midp(sK24,sK25,sK20)
| cong(sK21,sK20,sK21,sK25) ),
inference(superposition,[status(thm)],[c_740,c_72]) ).
cnf(c_966,plain,
( ~ midp(sK26,sK20,sK24)
| cong(sK22,sK24,sK22,sK20) ),
inference(superposition,[status(thm)],[c_744,c_72]) ).
cnf(c_996,plain,
( ~ midp(sK21,sK20,sK25)
| cong(sK24,sK25,sK24,sK20) ),
inference(superposition,[status(thm)],[c_750,c_72]) ).
cnf(c_1026,plain,
perp(sK24,sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_911,c_55]) ).
cnf(c_1032,plain,
perp(sK24,sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_914,c_55]) ).
cnf(c_1253,plain,
perp(sK22,sK24,sK26,sK20),
inference(resolution,[status(thm)],[c_55,c_163]) ).
cnf(c_1288,plain,
( ~ coll(sK20,sK26,sK22)
| ~ midp(sK24,sK22,sK26)
| midp(sK20,sK26,sK22) ),
inference(superposition,[status(thm)],[c_954,c_116]) ).
cnf(c_1304,plain,
( ~ coll(sK24,sK20,sK26)
| ~ midp(sK22,sK20,sK26)
| midp(sK24,sK20,sK26) ),
inference(superposition,[status(thm)],[c_749,c_116]) ).
cnf(c_1305,plain,
( ~ coll(sK24,sK20,sK25)
| ~ midp(sK21,sK20,sK25)
| midp(sK24,sK20,sK25) ),
inference(superposition,[status(thm)],[c_750,c_116]) ).
cnf(c_1307,plain,
( ~ coll(sK26,sK20,sK24)
| ~ midp(sK22,sK20,sK24)
| midp(sK26,sK20,sK24) ),
inference(superposition,[status(thm)],[c_752,c_116]) ).
cnf(c_1391,plain,
perp(sK22,sK26,sK20,sK24),
inference(resolution,[status(thm)],[c_56,c_164]) ).
cnf(c_1392,plain,
perp(sK24,sK26,sK20,sK22),
inference(resolution,[status(thm)],[c_56,c_165]) ).
cnf(c_1396,plain,
perp(sK26,sK20,sK22,sK24),
inference(resolution,[status(thm)],[c_56,c_1253]) ).
cnf(c_1658,plain,
( ~ perp(sK20,sK26,X0,X1)
| para(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_163,c_57]) ).
cnf(c_1659,plain,
( ~ perp(sK22,sK26,X0,X1)
| para(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
cnf(c_1660,plain,
( ~ perp(sK24,sK26,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_57]) ).
cnf(c_1663,plain,
( ~ perp(sK24,sK25,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_168,c_57]) ).
cnf(c_1670,plain,
( ~ perp(sK22,sK24,X0,X1)
| para(sK20,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_909,c_57]) ).
cnf(c_1671,plain,
( ~ perp(sK20,sK24,X0,X1)
| para(sK22,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_910,c_57]) ).
cnf(c_1672,plain,
( ~ perp(sK20,sK22,X0,X1)
| para(sK24,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_911,c_57]) ).
cnf(c_1673,plain,
( ~ perp(sK21,sK24,X0,X1)
| para(sK20,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_912,c_57]) ).
cnf(c_1674,plain,
( ~ perp(sK20,sK24,X0,X1)
| para(sK21,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_913,c_57]) ).
cnf(c_1675,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK24,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_914,c_57]) ).
cnf(c_2049,plain,
( ~ perp(X0,X1,sK22,sK26)
| para(X0,X1,sK20,sK24) ),
inference(resolution,[status(thm)],[c_57,c_1391]) ).
cnf(c_2175,plain,
( ~ coll(sK24,sK22,sK26)
| ~ midp(sK20,sK22,sK26)
| midp(sK24,sK22,sK26) ),
inference(superposition,[status(thm)],[c_769,c_116]) ).
cnf(c_2178,plain,
( ~ coll(sK22,sK24,sK26)
| ~ midp(sK20,sK24,sK26)
| midp(sK22,sK24,sK26) ),
inference(superposition,[status(thm)],[c_770,c_116]) ).
cnf(c_2198,plain,
para(sK22,sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_909,c_1658]) ).
cnf(c_2200,plain,
para(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_910,c_1659]) ).
cnf(c_2201,plain,
para(sK20,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_932,c_1659]) ).
cnf(c_2212,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_911,c_1660]) ).
cnf(c_2213,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_1026,c_1660]) ).
cnf(c_2229,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_1032,c_1663]) ).
cnf(c_2233,plain,
coll(sK22,sK24,sK24),
inference(superposition,[status(thm)],[c_2198,c_115]) ).
cnf(c_2254,plain,
( ~ cong(sK22,sK20,sK22,X0)
| ~ midp(sK24,sK20,sK26)
| circle(sK22,sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_731,c_60]) ).
cnf(c_2255,plain,
( ~ cong(sK20,sK22,sK20,X0)
| ~ midp(sK24,sK22,sK26)
| circle(sK20,sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_732,c_60]) ).
cnf(c_2256,plain,
( ~ cong(sK20,sK24,sK20,X0)
| ~ midp(sK22,sK24,sK26)
| circle(sK20,sK24,X0,sK26) ),
inference(superposition,[status(thm)],[c_733,c_60]) ).
cnf(c_2273,plain,
( ~ cong(sK22,sK20,sK22,X0)
| ~ midp(sK26,sK20,sK24)
| circle(sK22,sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_744,c_60]) ).
cnf(c_2472,plain,
coll(sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_2233,c_50]) ).
cnf(c_2475,plain,
coll(sK20,sK24,sK24),
inference(superposition,[status(thm)],[c_2200,c_115]) ).
cnf(c_2478,plain,
coll(sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_2212,c_115]) ).
cnf(c_2487,plain,
para(sK24,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_2201,c_53]) ).
cnf(c_2489,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_2213,c_53]) ).
cnf(c_2493,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_2229,c_53]) ).
cnf(c_2495,plain,
perp(sK20,sK24,sK26,sK22),
inference(superposition,[status(thm)],[c_164,c_55]) ).
cnf(c_2496,plain,
perp(sK20,sK22,sK26,sK24),
inference(superposition,[status(thm)],[c_165,c_55]) ).
cnf(c_2497,plain,
perp(sK21,sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_166,c_55]) ).
cnf(c_2508,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_729,c_55]) ).
cnf(c_2728,plain,
para(sK20,sK26,sK20,sK26),
inference(superposition,[status(thm)],[c_163,c_1670]) ).
cnf(c_2732,plain,
coll(sK20,sK26,sK26),
inference(superposition,[status(thm)],[c_2728,c_115]) ).
cnf(c_2862,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK26,X0,sK20) ),
inference(superposition,[status(thm)],[c_2732,c_51]) ).
cnf(c_2863,plain,
coll(sK26,sK20,sK26),
inference(superposition,[status(thm)],[c_2732,c_50]) ).
cnf(c_2897,plain,
para(sK22,sK26,sK22,sK26),
inference(superposition,[status(thm)],[c_164,c_1671]) ).
cnf(c_2899,plain,
para(sK22,sK26,sK26,sK22),
inference(superposition,[status(thm)],[c_2495,c_1671]) ).
cnf(c_2906,plain,
coll(sK22,sK26,sK26),
inference(superposition,[status(thm)],[c_2897,c_115]) ).
cnf(c_2921,plain,
( ~ coll(sK22,sK26,X0)
| coll(sK26,X0,sK22) ),
inference(superposition,[status(thm)],[c_2906,c_51]) ).
cnf(c_2926,plain,
para(sK26,sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_2899,c_53]) ).
cnf(c_3215,plain,
( ~ coll(sK21,sK20,sK25)
| ~ midp(sK24,sK25,sK20)
| midp(sK21,sK20,sK25) ),
inference(superposition,[status(thm)],[c_962,c_116]) ).
cnf(c_3268,plain,
( ~ cong(sK22,sK26,X0,X1)
| ~ midp(sK24,sK20,sK26)
| cong(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_731,c_73]) ).
cnf(c_3272,plain,
( ~ cong(sK20,sK26,X0,X1)
| ~ midp(sK22,sK24,sK26)
| cong(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_733,c_73]) ).
cnf(c_3274,plain,
( ~ cong(sK21,sK25,X0,X1)
| ~ midp(sK24,sK20,sK25)
| cong(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_734,c_73]) ).
cnf(c_3630,plain,
( ~ coll(sK22,sK24,sK20)
| ~ midp(sK26,sK20,sK24)
| midp(sK22,sK24,sK20) ),
inference(superposition,[status(thm)],[c_966,c_116]) ).
cnf(c_3723,plain,
para(sK24,sK26,sK24,sK26),
inference(superposition,[status(thm)],[c_165,c_1672]) ).
cnf(c_3724,plain,
para(sK24,sK26,sK26,sK24),
inference(superposition,[status(thm)],[c_2496,c_1672]) ).
cnf(c_3738,plain,
coll(sK24,sK26,sK26),
inference(superposition,[status(thm)],[c_3723,c_115]) ).
cnf(c_3739,plain,
( ~ coll(sK24,sK26,X0)
| coll(sK26,X0,sK24) ),
inference(superposition,[status(thm)],[c_3738,c_51]) ).
cnf(c_3760,plain,
( ~ para(sK26,sK24,X0,X1)
| para(sK24,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_3724,c_54]) ).
cnf(c_3761,plain,
para(sK26,sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_3724,c_53]) ).
cnf(c_3776,plain,
para(sK20,sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_166,c_1673]) ).
cnf(c_3777,plain,
para(sK20,sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_2497,c_1673]) ).
cnf(c_3782,plain,
coll(sK20,sK25,sK25),
inference(superposition,[status(thm)],[c_3776,c_115]) ).
cnf(c_3784,plain,
coll(sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_3782,c_50]) ).
cnf(c_3934,plain,
para(sK20,sK24,sK20,sK24),
inference(resolution,[status(thm)],[c_2049,c_164]) ).
cnf(c_3961,plain,
para(sK25,sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_3777,c_53]) ).
cnf(c_3976,plain,
para(sK21,sK25,sK21,sK25),
inference(superposition,[status(thm)],[c_167,c_1674]) ).
cnf(c_3985,plain,
coll(sK20,sK24,sK24),
inference(resolution,[status(thm)],[c_3934,c_115]) ).
cnf(c_4013,plain,
coll(sK21,sK25,sK25),
inference(superposition,[status(thm)],[c_3976,c_115]) ).
cnf(c_4014,plain,
( ~ coll(sK21,sK25,X0)
| coll(sK25,X0,sK21) ),
inference(superposition,[status(thm)],[c_4013,c_51]) ).
cnf(c_4073,plain,
para(sK24,sK25,sK24,sK25),
inference(superposition,[status(thm)],[c_168,c_1675]) ).
cnf(c_4076,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK24,sK25,sK22,sK21) ),
inference(superposition,[status(thm)],[c_2508,c_1675]) ).
cnf(c_4081,plain,
coll(sK24,sK25,sK25),
inference(superposition,[status(thm)],[c_4073,c_115]) ).
cnf(c_4118,plain,
coll(sK24,sK20,sK24),
inference(resolution,[status(thm)],[c_50,c_3985]) ).
cnf(c_4121,plain,
( ~ coll(sK24,sK25,sK20)
| ~ midp(sK21,sK20,sK25)
| midp(sK24,sK25,sK20) ),
inference(superposition,[status(thm)],[c_996,c_116]) ).
cnf(c_4172,plain,
( ~ coll(sK24,sK25,X0)
| coll(sK25,X0,sK24) ),
inference(superposition,[status(thm)],[c_4081,c_51]) ).
cnf(c_4599,plain,
( ~ coll(sK24,X0,sK24)
| ~ midp(sK20,X0,sK20)
| midp(sK24,X0,sK24) ),
inference(superposition,[status(thm)],[c_2200,c_94]) ).
cnf(c_4633,plain,
( ~ coll(sK24,sK20,sK24)
| ~ midp(sK20,sK20,sK20)
| midp(sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_4599]) ).
cnf(c_4765,plain,
( ~ para(X0,X1,sK20,sK24)
| perp(X0,X1,sK22,sK26) ),
inference(resolution,[status(thm)],[c_58,c_164]) ).
cnf(c_4767,plain,
( ~ para(X0,X1,sK20,sK22)
| perp(X0,X1,sK24,sK26) ),
inference(resolution,[status(thm)],[c_58,c_165]) ).
cnf(c_4791,plain,
( ~ para(X0,X1,sK24,sK26)
| perp(X0,X1,sK20,sK22) ),
inference(resolution,[status(thm)],[c_58,c_1392]) ).
cnf(c_4927,plain,
( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23)
| ~ perp(sK20,sK23,sK11(sK20,sK24,sK27,sK23),sK20)
| para(sK20,sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_695]) ).
cnf(c_5392,plain,
( ~ midp(sK22,sK20,X0)
| ~ midp(sK24,sK20,sK26)
| circle(sK22,sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_117,c_2254]) ).
cnf(c_5393,plain,
( ~ midp(sK22,X0,sK20)
| ~ midp(sK24,sK20,sK26)
| circle(sK22,sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_952,c_2254]) ).
cnf(c_5396,plain,
( ~ midp(sK24,sK20,sK26)
| circle(sK22,sK20,sK26,sK26) ),
inference(superposition,[status(thm)],[c_731,c_2254]) ).
cnf(c_5458,plain,
( ~ coll(sK22,sK20,sK26)
| ~ midp(sK24,sK20,sK26)
| perp(sK20,sK26,sK26,sK26) ),
inference(superposition,[status(thm)],[c_5396,c_102]) ).
cnf(c_5584,plain,
( ~ midp(sK20,sK22,X0)
| ~ midp(sK24,sK22,sK26)
| circle(sK20,sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_117,c_2255]) ).
cnf(c_5588,plain,
( ~ midp(sK24,sK22,sK26)
| circle(sK20,sK22,sK26,sK26) ),
inference(superposition,[status(thm)],[c_732,c_2255]) ).
cnf(c_5599,plain,
( ~ coll(sK20,sK22,sK26)
| ~ midp(sK24,sK22,sK26)
| perp(sK22,sK26,sK26,sK26) ),
inference(superposition,[status(thm)],[c_5588,c_102]) ).
cnf(c_5600,plain,
( ~ midp(sK20,sK24,X0)
| ~ midp(sK22,sK24,sK26)
| circle(sK20,sK24,X0,sK26) ),
inference(superposition,[status(thm)],[c_117,c_2256]) ).
cnf(c_5604,plain,
( ~ midp(sK22,sK24,sK26)
| circle(sK20,sK24,sK26,sK26) ),
inference(superposition,[status(thm)],[c_733,c_2256]) ).
cnf(c_5759,plain,
( ~ coll(sK20,sK24,sK26)
| ~ midp(sK22,sK24,sK26)
| perp(sK24,sK26,sK26,sK26) ),
inference(superposition,[status(thm)],[c_5604,c_102]) ).
cnf(c_5767,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X2,X3,sK20,sK24)
| para(X0,X1,sK22,sK26) ),
inference(resolution,[status(thm)],[c_4765,c_57]) ).
cnf(c_5926,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X2,X3,sK20,sK22)
| para(X0,X1,sK24,sK26) ),
inference(resolution,[status(thm)],[c_4767,c_57]) ).
cnf(c_5993,plain,
coll(sK26,sK26,sK20),
inference(superposition,[status(thm)],[c_2863,c_49]) ).
cnf(c_6035,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_3784,c_49]) ).
cnf(c_6069,plain,
( ~ midp(sK24,sK20,sK25)
| cong(sK21,sK25,sK21,sK20) ),
inference(superposition,[status(thm)],[c_734,c_72]) ).
cnf(c_7122,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X2,X3,sK24,sK26)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[status(thm)],[c_4791,c_57]) ).
cnf(c_7124,plain,
( ~ para(sK20,sK20,sK24,sK26)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7122]) ).
cnf(c_7239,plain,
( ~ coll(sK24,X0,sK26)
| ~ midp(sK26,X0,sK24)
| midp(sK24,X0,sK26) ),
inference(superposition,[status(thm)],[c_3761,c_94]) ).
cnf(c_7241,plain,
( ~ coll(sK20,X0,sK22)
| ~ midp(sK22,X0,sK20)
| midp(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_2489,c_94]) ).
cnf(c_7263,plain,
( ~ coll(sK20,sK20,sK22)
| ~ midp(sK22,sK20,sK20)
| midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7241]) ).
cnf(c_7265,plain,
( ~ coll(sK24,sK20,sK26)
| ~ midp(sK26,sK20,sK24)
| midp(sK24,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_7239]) ).
cnf(c_7349,plain,
( ~ para(sK20,sK24,sK20,sK24)
| eqangle(sK20,sK24,X0,X1,sK20,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_7352,plain,
( ~ para(sK20,sK24,sK20,sK24)
| eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7349]) ).
cnf(c_7401,plain,
( ~ para(sK23,sK20,sK23,sK22)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_7593,plain,
( ~ midp(sK24,sK20,sK25)
| cong(sK21,sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_6069,c_3274]) ).
cnf(c_7978,plain,
( ~ para(sK20,sK24,sK20,sK24)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK24,sK24) ),
inference(superposition,[status(thm)],[c_2200,c_113]) ).
cnf(c_7980,plain,
( ~ para(sK20,sK22,sK20,sK22)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_2212,c_113]) ).
cnf(c_8020,plain,
( ~ para(sK20,sK22,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_7980]) ).
cnf(c_8022,plain,
( ~ para(sK20,sK24,sK20,sK24)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_7978]) ).
cnf(c_8680,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(resolution,[status(thm)],[c_91,c_88]) ).
cnf(c_10951,plain,
( ~ para(sK22,sK24,sK20,sK24)
| para(sK26,sK20,sK22,sK26) ),
inference(resolution,[status(thm)],[c_5767,c_1396]) ).
cnf(c_12358,plain,
( ~ para(sK20,sK26,sK20,sK22)
| para(sK22,sK24,sK24,sK26) ),
inference(resolution,[status(thm)],[c_5926,c_163]) ).
cnf(c_12655,plain,
( ~ eqangle(sK20,sK24,sK20,X0,sK20,sK24,sK20,X0)
| ~ coll(sK20,sK20,X0)
| cyclic(sK24,X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_12658,plain,
( ~ eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12655]) ).
cnf(c_12845,plain,
( ~ midp(sK24,sK20,sK26)
| cong(sK22,sK26,sK22,sK20) ),
inference(superposition,[status(thm)],[c_731,c_72]) ).
cnf(c_12966,plain,
para(sK20,sK26,sK20,sK26),
inference(superposition,[status(thm)],[c_163,c_1670]) ).
cnf(c_13003,plain,
( ~ perp(sK20,sK26,X0,X1)
| para(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_163,c_57]) ).
cnf(c_13004,plain,
( ~ perp(sK22,sK26,X0,X1)
| para(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
cnf(c_13005,plain,
( ~ perp(sK24,sK26,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_57]) ).
cnf(c_13045,plain,
coll(sK20,sK26,sK26),
inference(superposition,[status(thm)],[c_12966,c_115]) ).
cnf(c_13056,plain,
coll(sK26,sK26,sK20),
inference(superposition,[status(thm)],[c_13045,c_2862]) ).
cnf(c_13129,plain,
( ~ coll(sK26,sK26,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_13056,c_51]) ).
cnf(c_13132,plain,
( ~ coll(sK26,sK26,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_13129]) ).
cnf(c_13138,plain,
para(sK22,sK26,sK22,sK26),
inference(superposition,[status(thm)],[c_164,c_1671]) ).
cnf(c_13148,plain,
coll(sK22,sK26,sK26),
inference(superposition,[status(thm)],[c_13138,c_115]) ).
cnf(c_13156,plain,
coll(sK26,sK26,sK22),
inference(superposition,[status(thm)],[c_13148,c_2921]) ).
cnf(c_13178,plain,
( ~ coll(sK26,sK26,X0)
| coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_13156,c_51]) ).
cnf(c_13181,plain,
( ~ coll(sK26,sK26,sK20)
| coll(sK22,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_13178]) ).
cnf(c_13182,plain,
para(sK24,sK26,sK24,sK26),
inference(superposition,[status(thm)],[c_165,c_1672]) ).
cnf(c_13192,plain,
coll(sK24,sK26,sK26),
inference(superposition,[status(thm)],[c_13182,c_115]) ).
cnf(c_13196,plain,
coll(sK26,sK26,sK24),
inference(superposition,[status(thm)],[c_13192,c_3739]) ).
cnf(c_13217,plain,
para(sK21,sK25,sK21,sK25),
inference(superposition,[status(thm)],[c_167,c_1674]) ).
cnf(c_13232,plain,
( ~ coll(sK26,sK26,X0)
| coll(sK24,X0,sK26) ),
inference(superposition,[status(thm)],[c_13196,c_51]) ).
cnf(c_13235,plain,
( ~ coll(sK26,sK26,sK20)
| coll(sK24,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_13232]) ).
cnf(c_13249,plain,
coll(sK21,sK25,sK25),
inference(superposition,[status(thm)],[c_13217,c_115]) ).
cnf(c_13253,plain,
coll(sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_13249,c_4014]) ).
cnf(c_13258,plain,
para(sK24,sK25,sK24,sK25),
inference(superposition,[status(thm)],[c_168,c_1675]) ).
cnf(c_13266,plain,
coll(sK24,sK25,sK25),
inference(superposition,[status(thm)],[c_13258,c_115]) ).
cnf(c_13270,plain,
coll(sK25,sK25,sK24),
inference(superposition,[status(thm)],[c_13266,c_4172]) ).
cnf(c_13289,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_13253,c_51]) ).
cnf(c_13292,plain,
( ~ coll(sK25,sK25,sK20)
| coll(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_13289]) ).
cnf(c_13293,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_13270,c_51]) ).
cnf(c_13296,plain,
( ~ coll(sK25,sK25,sK20)
| coll(sK24,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_13293]) ).
cnf(c_13299,plain,
coll(sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_2472,c_49]) ).
cnf(c_13300,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_13299,c_51]) ).
cnf(c_13303,plain,
( ~ coll(sK24,sK24,sK20)
| coll(sK22,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_13300]) ).
cnf(c_13483,plain,
coll(sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_2475,c_50]) ).
cnf(c_13502,plain,
( ~ midp(sK24,sK20,sK26)
| cong(sK22,sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_12845,c_3268]) ).
cnf(c_13528,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_13483,c_49]) ).
cnf(c_13533,plain,
( ~ coll(sK22,sK20,sK20)
| ~ midp(sK24,sK20,sK26)
| midp(sK22,sK20,sK20) ),
inference(superposition,[status(thm)],[c_13502,c_116]) ).
cnf(c_13545,plain,
( ~ midp(sK20,sK26,X0)
| ~ midp(sK22,sK24,sK26)
| cong(sK20,sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_117,c_3272]) ).
cnf(c_13554,plain,
( ~ midp(sK24,sK20,sK25)
| ~ midp(sK24,sK25,sK20)
| cong(sK21,sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_740,c_3274]) ).
cnf(c_13870,plain,
( ~ midp(sK20,sK26,X0)
| ~ midp(sK22,sK24,sK26)
| cong(sK20,X0,sK20,sK24) ),
inference(superposition,[status(thm)],[c_13545,c_72]) ).
cnf(c_13877,plain,
( ~ midp(sK20,sK26,sK20)
| ~ midp(sK22,sK24,sK26)
| cong(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_13870]) ).
cnf(c_13883,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_2478,c_50]) ).
cnf(c_14041,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_13883,c_49]) ).
cnf(c_16086,plain,
( ~ para(X0,sK20,X1,sK26)
| para(X1,sK26,X0,sK20) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_16087,plain,
( ~ para(sK20,sK20,sK20,sK26)
| para(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16086]) ).
cnf(c_16240,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_14041,c_51]) ).
cnf(c_16243,plain,
( ~ coll(sK22,sK22,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_16240]) ).
cnf(c_17054,plain,
( ~ para(X0,sK26,X1,X2)
| ~ para(X1,X2,X3,sK22)
| para(X0,sK26,X3,sK22) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_17055,plain,
( ~ para(sK20,sK20,sK20,sK22)
| ~ para(sK20,sK26,sK20,sK20)
| para(sK20,sK26,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_17054]) ).
cnf(c_17423,plain,
( ~ para(sK20,sK24,X0,X1)
| para(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_2487,c_54]) ).
cnf(c_17425,plain,
para(sK24,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_2487,c_52]) ).
cnf(c_17448,plain,
coll(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_17425,c_115]) ).
cnf(c_17715,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_2489,c_52]) ).
cnf(c_17795,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_2493,c_52]) ).
cnf(c_17797,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_17448,c_50]) ).
cnf(c_17799,plain,
( ~ coll(sK20,sK24,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_17797,c_51]) ).
cnf(c_17801,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_17797,c_49]) ).
cnf(c_17803,plain,
( ~ coll(sK20,sK24,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17799]) ).
cnf(c_17804,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_17801,c_51]) ).
cnf(c_17817,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_17715,c_115]) ).
cnf(c_18006,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_17795,c_115]) ).
cnf(c_18054,plain,
para(sK26,sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_2926,c_52]) ).
cnf(c_18112,plain,
para(sK26,sK24,sK26,sK24),
inference(superposition,[status(thm)],[c_3761,c_52]) ).
cnf(c_18179,plain,
para(sK25,sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_3961,c_52]) ).
cnf(c_18226,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_17817,c_50]) ).
cnf(c_18261,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_18226,c_49]) ).
cnf(c_18295,plain,
coll(sK26,sK22,sK22),
inference(superposition,[status(thm)],[c_18054,c_115]) ).
cnf(c_19191,plain,
( ~ coll(sK20,sK20,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_18261,c_51]) ).
cnf(c_19205,plain,
coll(sK26,sK24,sK24),
inference(superposition,[status(thm)],[c_18112,c_115]) ).
cnf(c_19320,plain,
coll(sK25,sK20,sK20),
inference(superposition,[status(thm)],[c_18179,c_115]) ).
cnf(c_19716,plain,
coll(sK22,sK26,sK22),
inference(superposition,[status(thm)],[c_18295,c_50]) ).
cnf(c_20010,plain,
coll(sK24,sK26,sK24),
inference(superposition,[status(thm)],[c_19205,c_50]) ).
cnf(c_20015,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_19320,c_50]) ).
cnf(c_20580,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_19716,c_49]) ).
cnf(c_20587,plain,
coll(sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_20010,c_49]) ).
cnf(c_20591,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_20015,c_49]) ).
cnf(c_21028,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK26,X0,sK24) ),
inference(superposition,[status(thm)],[c_20587,c_51]) ).
cnf(c_21031,plain,
( ~ coll(sK24,sK24,sK20)
| coll(sK26,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_21028]) ).
cnf(c_21590,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK22,sK21,sK24,sK25) ),
inference(superposition,[status(thm)],[c_4076,c_53]) ).
cnf(c_21642,plain,
( ~ coll(sK21,X0,sK25)
| ~ midp(sK22,X0,sK24)
| ~ coll(sK23,sK20,sK22)
| midp(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_21590,c_94]) ).
cnf(c_21649,plain,
( ~ coll(sK21,sK20,sK25)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK22,sK20,sK24)
| midp(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_21642]) ).
cnf(c_22235,plain,
coll(sK20,sK22,sK26),
inference(superposition,[status(thm)],[c_13156,c_13129]) ).
cnf(c_22236,plain,
coll(sK20,sK24,sK26),
inference(superposition,[status(thm)],[c_13196,c_13129]) ).
cnf(c_22277,plain,
coll(sK22,sK24,sK26),
inference(superposition,[status(thm)],[c_13196,c_13178]) ).
cnf(c_22327,plain,
coll(sK24,sK22,sK26),
inference(superposition,[status(thm)],[c_13156,c_13232]) ).
cnf(c_22364,plain,
( ~ midp(sK24,sK25,sK20)
| cong(sK21,sK20,sK21,sK20) ),
inference(global_subsumption_just,[status(thm)],[c_13554,c_1305,c_3215,c_6035,c_7593,c_13292,c_13296]) ).
cnf(c_23193,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_20580,c_16240]) ).
cnf(c_23801,plain,
coll(sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_20591,c_17804]) ).
cnf(c_24166,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_17801,c_19191]) ).
cnf(c_25997,plain,
( ~ midp(sK22,sK20,X0)
| ~ coll(sK22,sK20,sK26)
| ~ midp(sK24,sK20,sK26)
| perp(sK20,X0,X0,sK26) ),
inference(superposition,[status(thm)],[c_5392,c_102]) ).
cnf(c_25998,plain,
( ~ midp(sK22,X0,sK20)
| ~ coll(sK22,sK20,sK26)
| ~ midp(sK24,sK20,sK26)
| perp(sK20,X0,X0,sK26) ),
inference(superposition,[status(thm)],[c_5393,c_102]) ).
cnf(c_26069,plain,
( ~ midp(sK24,sK20,sK26)
| perp(sK20,sK26,sK26,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_5458,c_5458,c_5993,c_13181]) ).
cnf(c_26081,plain,
( ~ midp(sK24,sK20,sK26)
| para(sK22,sK24,sK26,sK26) ),
inference(superposition,[status(thm)],[c_26069,c_13003]) ).
cnf(c_26088,plain,
( ~ para(sK22,sK26,sK26,sK24)
| ~ midp(X0,sK22,sK26)
| ~ midp(sK24,sK20,sK26)
| midp(X0,sK24,sK26) ),
inference(superposition,[status(thm)],[c_26081,c_113]) ).
cnf(c_26096,plain,
( ~ para(sK22,sK26,sK26,sK24)
| ~ midp(sK20,sK22,sK26)
| ~ midp(sK24,sK20,sK26)
| midp(sK20,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_26088]) ).
cnf(c_26449,plain,
( ~ midp(sK20,sK22,X0)
| ~ coll(sK20,sK22,sK26)
| ~ midp(sK24,sK22,sK26)
| perp(sK22,X0,X0,sK26) ),
inference(superposition,[status(thm)],[c_5584,c_102]) ).
cnf(c_26467,plain,
( ~ midp(sK24,sK22,sK26)
| perp(sK22,sK26,sK26,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_5599,c_5599,c_22235]) ).
cnf(c_26481,plain,
( ~ midp(sK24,sK22,sK26)
| para(sK20,sK24,sK26,sK26) ),
inference(superposition,[status(thm)],[c_26467,c_13004]) ).
cnf(c_26589,plain,
( ~ midp(sK24,sK22,sK26)
| para(sK24,sK20,sK26,sK26) ),
inference(superposition,[status(thm)],[c_26481,c_17423]) ).
cnf(c_26605,plain,
( ~ coll(sK20,X0,sK26)
| ~ midp(sK24,X0,sK26)
| ~ midp(sK24,sK22,sK26)
| midp(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_26589,c_94]) ).
cnf(c_26613,plain,
( ~ coll(sK20,sK20,sK26)
| ~ midp(sK24,sK20,sK26)
| ~ midp(sK24,sK22,sK26)
| midp(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_26605]) ).
cnf(c_26899,plain,
( ~ midp(sK20,sK24,X0)
| ~ coll(sK20,sK24,sK26)
| ~ midp(sK22,sK24,sK26)
| perp(sK24,X0,X0,sK26) ),
inference(superposition,[status(thm)],[c_5600,c_102]) ).
cnf(c_26940,plain,
( ~ midp(sK22,sK24,sK26)
| perp(sK24,sK26,sK26,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_5759,c_5759,c_22236]) ).
cnf(c_26952,plain,
( ~ midp(sK22,sK24,sK26)
| para(sK20,sK22,sK26,sK26) ),
inference(superposition,[status(thm)],[c_26940,c_13005]) ).
cnf(c_27260,plain,
( ~ para(sK20,sK26,sK20,sK22)
| para(sK22,sK24,sK26,sK24) ),
inference(resolution,[status(thm)],[c_12358,c_52]) ).
cnf(c_28107,plain,
( ~ midp(X0,sK20,sK22)
| ~ midp(X0,sK23,sK23)
| para(sK23,sK20,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_28108,plain,
( ~ midp(sK20,sK20,sK22)
| ~ midp(sK20,sK23,sK23)
| para(sK23,sK20,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_28107]) ).
cnf(c_29023,plain,
( ~ perp(sK20,sK26,X0,X1)
| para(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_163,c_57]) ).
cnf(c_29024,plain,
( ~ perp(sK22,sK26,X0,X1)
| para(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
cnf(c_29025,plain,
( ~ perp(sK24,sK26,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_57]) ).
cnf(c_29174,plain,
( ~ midp(sK22,sK20,X0)
| ~ coll(sK22,sK20,sK26)
| ~ midp(sK24,sK20,sK26)
| perp(sK20,X0,X0,sK26) ),
inference(superposition,[status(thm)],[c_5392,c_102]) ).
cnf(c_29175,plain,
( ~ midp(sK22,sK20,X0)
| ~ midp(sK24,sK20,sK26)
| perp(sK20,X0,X0,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_29174,c_5993,c_13181,c_25997]) ).
cnf(c_29179,plain,
( ~ midp(X0,X0,sK26)
| ~ midp(sK22,sK20,X0)
| ~ midp(sK24,sK20,sK26)
| cong(sK20,X0,sK20,sK26) ),
inference(superposition,[status(thm)],[c_29175,c_104]) ).
cnf(c_29185,plain,
( ~ midp(sK24,sK20,sK26)
| ~ midp(sK22,sK20,sK24)
| para(sK22,sK26,sK24,sK26) ),
inference(superposition,[status(thm)],[c_29175,c_1671]) ).
cnf(c_29189,plain,
( ~ midp(sK20,sK20,sK26)
| ~ midp(sK24,sK20,sK26)
| ~ midp(sK22,sK20,sK20)
| cong(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_29179]) ).
cnf(c_29191,plain,
( ~ midp(sK22,X0,sK20)
| ~ coll(sK22,sK20,sK26)
| ~ midp(sK24,sK20,sK26)
| perp(sK20,X0,X0,sK26) ),
inference(superposition,[status(thm)],[c_5393,c_102]) ).
cnf(c_29235,plain,
( ~ midp(sK22,X0,sK20)
| ~ midp(sK24,sK20,sK26)
| perp(sK20,X0,X0,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_29191,c_5993,c_13181,c_25998]) ).
cnf(c_29242,plain,
( ~ midp(sK24,sK20,sK26)
| ~ midp(sK22,sK26,sK20)
| para(sK22,sK24,sK26,sK26) ),
inference(superposition,[status(thm)],[c_29235,c_29023]) ).
cnf(c_29244,plain,
( ~ midp(sK24,sK20,sK26)
| ~ midp(sK22,sK24,sK20)
| para(sK22,sK26,sK24,sK26) ),
inference(superposition,[status(thm)],[c_29235,c_1671]) ).
cnf(c_29246,plain,
( ~ midp(sK20,sK22,X0)
| ~ coll(sK20,sK22,sK26)
| ~ midp(sK24,sK22,sK26)
| perp(sK22,X0,X0,sK26) ),
inference(superposition,[status(thm)],[c_5584,c_102]) ).
cnf(c_29247,plain,
( ~ midp(sK20,sK22,X0)
| ~ midp(sK24,sK22,sK26)
| perp(sK22,X0,X0,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_29246,c_22235,c_26449]) ).
cnf(c_29255,plain,
( ~ midp(sK20,sK22,sK26)
| ~ midp(sK24,sK22,sK26)
| para(sK20,sK24,sK26,sK26) ),
inference(superposition,[status(thm)],[c_29247,c_29024]) ).
cnf(c_29377,plain,
( ~ midp(sK20,sK24,X0)
| ~ coll(sK20,sK24,sK26)
| ~ midp(sK22,sK24,sK26)
| perp(sK24,X0,X0,sK26) ),
inference(superposition,[status(thm)],[c_5600,c_102]) ).
cnf(c_29378,plain,
( ~ midp(sK20,sK24,X0)
| ~ midp(sK22,sK24,sK26)
| perp(sK24,X0,X0,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_29377,c_22236,c_26899]) ).
cnf(c_29386,plain,
( ~ midp(sK20,sK24,sK26)
| ~ midp(sK22,sK24,sK26)
| para(sK20,sK22,sK26,sK26) ),
inference(superposition,[status(thm)],[c_29378,c_29025]) ).
cnf(c_29495,plain,
( ~ midp(sK24,sK20,sK26)
| para(sK22,sK24,sK26,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_29242,c_26081]) ).
cnf(c_29499,plain,
( ~ para(sK26,sK26,X0,X1)
| ~ midp(sK24,sK20,sK26)
| para(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_29495,c_54]) ).
cnf(c_29509,plain,
( ~ midp(sK24,sK22,sK26)
| para(sK20,sK24,sK26,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_29255,c_26481]) ).
cnf(c_29514,plain,
( ~ midp(sK24,sK22,sK26)
| para(sK26,sK26,sK20,sK24) ),
inference(superposition,[status(thm)],[c_29509,c_53]) ).
cnf(c_29518,plain,
( ~ midp(sK22,sK24,sK26)
| para(sK20,sK22,sK26,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_29386,c_26952]) ).
cnf(c_29523,plain,
( ~ midp(sK22,sK24,sK26)
| para(sK26,sK26,sK20,sK22) ),
inference(superposition,[status(thm)],[c_29518,c_53]) ).
cnf(c_29790,plain,
( ~ midp(sK24,sK20,sK25)
| ~ midp(sK24,sK25,sK20)
| cong(sK21,sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_740,c_3274]) ).
cnf(c_30239,plain,
( ~ midp(sK24,sK25,sK20)
| cong(sK21,sK20,sK21,sK20) ),
inference(global_subsumption_just,[status(thm)],[c_29790,c_22364]) ).
cnf(c_30242,plain,
( ~ cong(sK21,sK20,sK21,X0)
| ~ midp(sK24,sK25,sK20)
| circle(sK21,sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_30239,c_60]) ).
cnf(c_30714,plain,
( ~ midp(sK24,sK20,sK25)
| ~ midp(sK24,sK25,sK20)
| circle(sK21,sK20,sK25,sK20) ),
inference(superposition,[status(thm)],[c_734,c_30242]) ).
cnf(c_30726,plain,
( ~ midp(sK24,sK25,sK20)
| circle(sK21,sK20,sK25,sK20) ),
inference(global_subsumption_just,[status(thm)],[c_30714,c_1305,c_3215,c_6035,c_13292,c_13296,c_30714]) ).
cnf(c_30729,plain,
( ~ coll(sK21,sK20,sK20)
| ~ midp(sK24,sK25,sK20)
| perp(sK20,sK25,sK25,sK20) ),
inference(superposition,[status(thm)],[c_30726,c_102]) ).
cnf(c_32064,plain,
( ~ midp(sK24,sK20,sK26)
| ~ midp(sK24,sK22,sK26)
| para(sK22,sK24,sK20,sK24) ),
inference(superposition,[status(thm)],[c_29514,c_29499]) ).
cnf(c_32070,plain,
( ~ midp(sK22,sK24,sK26)
| para(sK26,sK26,sK22,sK20) ),
inference(superposition,[status(thm)],[c_29523,c_52]) ).
cnf(c_32318,plain,
( ~ para(sK26,sK20,sK22,sK26)
| ~ midp(X0,sK26,sK22)
| ~ midp(sK22,sK24,sK26)
| midp(X0,sK26,sK20) ),
inference(superposition,[status(thm)],[c_32070,c_113]) ).
cnf(c_32330,plain,
( ~ para(sK26,sK20,sK22,sK26)
| ~ midp(sK20,sK26,sK22)
| ~ midp(sK22,sK24,sK26)
| midp(sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_32318]) ).
cnf(c_33292,plain,
( ~ midp(sK22,sK20,sK24)
| para(sK22,sK26,sK24,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_29185,c_1307,c_3630,c_5993,c_7265,c_13235,c_13528,c_21031,c_24166,c_29244]) ).
cnf(c_33299,plain,
( ~ midp(sK22,sK20,sK24)
| para(sK22,sK26,sK26,sK24) ),
inference(superposition,[status(thm)],[c_33292,c_52]) ).
cnf(c_34596,plain,
( ~ cong(X0,sK24,X1,sK24)
| ~ cong(X0,sK22,X1,sK22)
| perp(X0,X1,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_34597,plain,
( ~ cong(sK20,sK24,sK20,sK24)
| ~ cong(sK20,sK22,sK20,sK22)
| perp(sK20,sK20,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_34596]) ).
cnf(c_34600,plain,
( ~ cong(X0,sK20,X1,sK20)
| ~ cong(X0,sK22,X1,sK22)
| perp(X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_34601,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK22,sK20,sK22)
| perp(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_34600]) ).
cnf(c_35690,plain,
( ~ midp(sK24,sK25,sK20)
| perp(sK20,sK25,sK25,sK20) ),
inference(global_subsumption_just,[status(thm)],[c_30729,c_18006,c_30729]) ).
cnf(c_35700,plain,
( ~ midp(X0,sK20,sK20)
| ~ midp(sK24,sK25,sK20)
| cong(sK20,X0,sK25,X0) ),
inference(superposition,[status(thm)],[c_35690,c_101]) ).
cnf(c_35702,plain,
( ~ midp(sK20,sK20,sK20)
| ~ midp(sK24,sK25,sK20)
| cong(sK20,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_35700]) ).
cnf(c_36708,plain,
( ~ coll(sK20,sK20,X0)
| cyclic(sK24,X0,sK20,sK20) ),
inference(resolution,[status(thm)],[c_8680,c_3934]) ).
cnf(c_36903,plain,
( ~ cyclic(sK24,X0,sK20,X1)
| ~ coll(sK20,sK20,X0)
| cyclic(X0,sK20,X1,sK20) ),
inference(resolution,[status(thm)],[c_36708,c_65]) ).
cnf(c_36904,plain,
( ~ cyclic(sK24,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_36903]) ).
cnf(c_38033,plain,
( ~ midp(X0,sK22,sK22)
| cong(X0,sK22,X0,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_38034,plain,
( ~ midp(sK20,sK22,sK22)
| cong(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_38033]) ).
cnf(c_38070,plain,
( ~ midp(X0,sK24,sK24)
| cong(X0,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_38071,plain,
( ~ midp(sK20,sK24,sK24)
| cong(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_38070]) ).
cnf(c_38664,plain,
( ~ cong(X0,sK20,X0,sK25)
| ~ cong(X0,sK20,X0,sK24)
| ~ cong(X0,sK20,X0,sK26)
| cyclic(sK20,sK25,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_38665,plain,
( ~ cong(sK20,sK20,sK20,sK25)
| ~ cong(sK20,sK20,sK20,sK24)
| ~ cong(sK20,sK20,sK20,sK26)
| cyclic(sK20,sK25,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_38664]) ).
cnf(c_40586,plain,
( ~ midp(sK24,sK20,sK26)
| ~ midp(sK26,sK20,sK24)
| circle(sK22,sK20,sK26,sK24) ),
inference(superposition,[status(thm)],[c_731,c_2273]) ).
cnf(c_40631,plain,
( ~ midp(sK26,sK20,sK24)
| circle(sK22,sK20,sK26,sK24) ),
inference(global_subsumption_just,[status(thm)],[c_40586,c_5993,c_7265,c_13235,c_40586]) ).
cnf(c_40634,plain,
( ~ coll(sK22,sK20,sK24)
| ~ midp(sK26,sK20,sK24)
| perp(sK20,sK26,sK26,sK24) ),
inference(superposition,[status(thm)],[c_40631,c_102]) ).
cnf(c_40637,plain,
( ~ midp(sK26,sK20,sK24)
| perp(sK20,sK26,sK26,sK24) ),
inference(global_subsumption_just,[status(thm)],[c_40634,c_13303,c_13528,c_40634]) ).
cnf(c_40648,plain,
( ~ midp(sK26,sK20,sK24)
| para(sK22,sK24,sK26,sK24) ),
inference(superposition,[status(thm)],[c_40637,c_29023]) ).
cnf(c_40735,plain,
para(sK22,sK24,sK26,sK24),
inference(global_subsumption_just,[status(thm)],[c_40648,c_165,c_163,c_176,c_179,c_185,c_234,c_374,c_378,c_2200,c_2212,c_7124,c_7352,c_8020,c_8022,c_12658,c_16087,c_17055,c_17797,c_17803,c_27260,c_34597,c_34601,c_36904,c_38034,c_38071]) ).
cnf(c_40741,plain,
para(sK26,sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_40735,c_53]) ).
cnf(c_40751,plain,
para(sK26,sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_40741,c_52]) ).
cnf(c_40825,plain,
para(sK24,sK22,sK26,sK24),
inference(superposition,[status(thm)],[c_40751,c_53]) ).
cnf(c_40827,plain,
para(sK24,sK26,sK24,sK22),
inference(superposition,[status(thm)],[c_40751,c_3760]) ).
cnf(c_40833,plain,
( ~ coll(sK22,X0,sK24)
| ~ midp(sK24,X0,sK26)
| midp(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_40825,c_94]) ).
cnf(c_40837,plain,
para(sK24,sK22,sK24,sK26),
inference(superposition,[status(thm)],[c_40825,c_52]) ).
cnf(c_40841,plain,
( ~ coll(sK22,sK20,sK24)
| ~ midp(sK24,sK20,sK26)
| midp(sK22,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_40833]) ).
cnf(c_40843,plain,
( ~ para(sK24,sK26,sK24,sK22)
| ~ midp(X0,sK24,sK24)
| midp(X0,sK22,sK26) ),
inference(superposition,[status(thm)],[c_40837,c_113]) ).
cnf(c_40844,plain,
( ~ coll(sK22,X0,sK26)
| ~ midp(sK24,X0,sK24)
| midp(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_40837,c_94]) ).
cnf(c_40853,plain,
( ~ coll(sK22,sK20,sK26)
| ~ midp(sK24,sK20,sK24)
| midp(sK22,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_40844]) ).
cnf(c_40854,plain,
( ~ para(sK24,sK26,sK24,sK22)
| ~ midp(sK20,sK24,sK24)
| midp(sK20,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_40843]) ).
cnf(c_41939,plain,
( ~ cong(X0,sK20,sK25,X0)
| cong(X0,sK20,X0,sK25) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_41940,plain,
( ~ cong(sK20,sK20,sK25,sK20)
| cong(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_41939]) ).
cnf(c_46725,plain,
( ~ para(X0,sK23,X1,sK23)
| ~ midp(sK20,X0,X1)
| midp(sK20,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_46726,plain,
( ~ para(sK20,sK23,sK20,sK23)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_46725]) ).
cnf(c_46727,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_46726,c_41940,c_40854,c_40853,c_40841,c_40827,c_38665,c_36904,c_35702,c_33299,c_32330,c_32064,c_29189,c_28108,c_26613,c_26096,c_23801,c_23193,c_22327,c_22277,c_21649,c_17817,c_17803,c_17797,c_16243,c_14041,c_13877,c_13533,c_13528,c_13303,c_13292,c_13235,c_13181,c_13132,c_12658,c_10951,c_8022,c_7401,c_7352,c_7263,c_6035,c_5993,c_4927,c_4633,c_4121,c_4118,c_2200,c_2178,c_2175,c_1288,c_1304,c_693,c_371,c_234,c_179,c_176,c_162,c_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO585+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 20:20:20 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 28.04/4.68 % SZS status Started for theBenchmark.p
% 28.04/4.68 % SZS status Theorem for theBenchmark.p
% 28.04/4.68
% 28.04/4.68 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 28.04/4.68
% 28.04/4.68 ------ iProver source info
% 28.04/4.68
% 28.04/4.68 git: date: 2023-05-31 18:12:56 +0000
% 28.04/4.68 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 28.04/4.68 git: non_committed_changes: false
% 28.04/4.68 git: last_make_outside_of_git: false
% 28.04/4.68
% 28.04/4.68 ------ Parsing...
% 28.04/4.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 28.04/4.68
% 28.04/4.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 28.04/4.68
% 28.04/4.68 ------ Preprocessing...
% 28.04/4.68
% 28.04/4.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 28.04/4.68 ------ Proving...
% 28.04/4.68 ------ Problem Properties
% 28.04/4.68
% 28.04/4.68
% 28.04/4.68 clauses 121
% 28.04/4.68 conjectures 9
% 28.04/4.68 EPR 84
% 28.04/4.68 Horn 111
% 28.04/4.68 unary 9
% 28.04/4.68 binary 37
% 28.04/4.68 lits 337
% 28.04/4.68 lits eq 4
% 28.04/4.68 fd_pure 0
% 28.04/4.68 fd_pseudo 0
% 28.04/4.68 fd_cond 0
% 28.04/4.68 fd_pseudo_cond 4
% 28.04/4.68 AC symbols 0
% 28.04/4.68
% 28.04/4.68 ------ Input Options Time Limit: Unbounded
% 28.04/4.68
% 28.04/4.68
% 28.04/4.68 ------
% 28.04/4.68 Current options:
% 28.04/4.68 ------
% 28.04/4.68
% 28.04/4.68
% 28.04/4.68
% 28.04/4.68
% 28.04/4.68 ------ Proving...
% 28.04/4.68
% 28.04/4.68
% 28.04/4.68 % SZS status Theorem for theBenchmark.p
% 28.04/4.68
% 28.04/4.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.04/4.68
% 28.04/4.69
%------------------------------------------------------------------------------